%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SWV609-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n008.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 16:27:06 EDT 2022

% Result   : Timeout 300.01s 300.42s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWV609-1 : TPTP v8.1.0. Released v4.1.0.
% 0.12/0.13  % Command  : bliksem %s
% 0.13/0.34  % Computer : n008.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % DateTime : Wed Jun 15 20:32:07 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 1.18/1.59  *** allocated 10000 integers for termspace/termends
% 1.18/1.59  *** allocated 10000 integers for clauses
% 1.18/1.59  *** allocated 10000 integers for justifications
% 1.18/1.59  *** allocated 15000 integers for termspace/termends
% 1.18/1.59  *** allocated 22500 integers for termspace/termends
% 1.18/1.59  *** allocated 33750 integers for termspace/termends
% 1.18/1.59  *** allocated 50625 integers for termspace/termends
% 1.18/1.59  Bliksem 1.12
% 1.18/1.59  
% 1.18/1.59  
% 1.18/1.59  Automatic Strategy Selection
% 1.18/1.59  
% 1.18/1.59  Clauses:
% 1.18/1.59  [
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Oplus__class_Oplus'( Z, T, X )
% 1.18/1.59     ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ), ~( 
% 1.18/1.59    hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.18/1.59    X ), Z ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.18/1.59    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~( 
% 1.18/1.59    'c_Ring__and__Field_Odvd__class_Odvd'( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.59    T, X ), Y ), Z, X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.18/1.59    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~( 
% 1.18/1.59    'c_Ring__and__Field_Odvd__class_Odvd'( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.59    Y, X ), T ), Z, X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.18/1.59    'c_Ring__and__Field_Odvd__class_Odvd'( Y, hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( Z, X ), T ), X ), ~( 
% 1.18/1.59    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.18/1.59    'c_Ring__and__Field_Odvd__class_Odvd'( Y, hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( Z, X ), T ), X ), ~( 
% 1.18/1.59    'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( 
% 1.18/1.59    'c_Finite__Set_Osetsum'( Y, Z, X ), T ), hAPP( 'c_Finite__Set_Osetsum'( U
% 1.18/1.59    , Z, X ), T ) ), 'c_in'( 
% 1.18/1.59    'c_ATP__Linkup_Osko__Finite__Set__Xsetsum__cong2__1__1'( T, Y, U, Z, X )
% 1.18/1.59    , T, Z ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL( 
% 1.18/1.59    hAPP( 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X
% 1.18/1.59     ), Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.18/1.59    , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.59    X ), X ), Z ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL( 
% 1.18/1.59    hAPP( 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X
% 1.18/1.59     ), Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.18/1.59    , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.59    X ), X ), Y ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL( 
% 1.18/1.59    hAPP( 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X
% 1.18/1.59     ), Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.18/1.59    , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( 
% 1.18/1.59    hAPP( 'c_lessequals'( hAPP( 'c_HOL_Otimes__class_Otimes'( Z, X ), Y ), X
% 1.18/1.59     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( 
% 1.18/1.59    hAPP( 'c_lessequals'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), Z ), X
% 1.18/1.59     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ), ~( hBOOL( 
% 1.18/1.59    hAPP( 'c_lessequals'( hAPP( 'c_HOL_Otimes__class_Otimes'( Z, X ), Y ), X
% 1.18/1.59     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), ~( hBOOL( 
% 1.18/1.59    hAPP( 'c_lessequals'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), Z ), X
% 1.18/1.59     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.59    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X ), 
% 1.18/1.59    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.18/1.59    , X ), X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ), X
% 1.18/1.59     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.18/1.59    'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.59    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X ), 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ), X
% 1.18/1.59     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.18/1.59    'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( Y, X ), 'c_HOL_Oinverse__class_Odivide'( T, 
% 1.18/1.59    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.59    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( 
% 1.18/1.59    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.18/1.59    , X ), X ), X ), T ) ), ~( hBOOL( hAPP( 'c_lessequals'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ), X
% 1.18/1.59     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.18/1.59    'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.59    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ), X
% 1.18/1.59     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.18/1.59    'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, 
% 1.18/1.59    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ), Y ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.18/1.59    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oone__class_Oone'( X ), Y, 
% 1.18/1.59    X ) ],
% 1.18/1.59     [ ~( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' )
% 1.18/1.59     ), Y ) ) ],
% 1.18/1.59     [ ~( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' )
% 1.18/1.59     ), Y ) ) ],
% 1.18/1.59     [ hBOOL( hAPP( X, Y ) ), ~( 'c_in'( Y, 'c_Orderings_Obot__class_Obot'( 
% 1.18/1.59    'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 1.18/1.59     [ ~( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' )
% 1.18/1.59     ), Y ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.59    'class_Int_Onumber'( X ) ), =( Y, 'c_HOL_Oinverse__class_Odivide'( hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( Y, X ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.18/1.59    Z, X ) ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), =( 
% 1.18/1.59    'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.18/1.59     ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.59    'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( Y, X ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.18/1.59    Z, X ) ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y ), =( 
% 1.18/1.59    'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.18/1.59     ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), 
% 1.18/1.59    ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 1.18/1.59    , X ), hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Y ) ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.59    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.18/1.59    Y, X ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ), 
% 1.18/1.59    ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X
% 1.18/1.59     ), X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.59    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( 
% 1.18/1.59    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), 
% 1.18/1.59    'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.18/1.59    'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), 
% 1.18/1.59    hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.18/1.59    X ), Z ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.59    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( 
% 1.18/1.59    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), 
% 1.18/1.59    'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.18/1.59    'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.59    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z ), X ), Y ) ) ), ~( 
% 1.18/1.59    hBOOL( hAPP( 'c_lessequals'( Y, X ), hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.59    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z ) ) ) ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( Y, X ), hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.59    Y, X ), Z ) ), hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), Z ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Oplus__class_Oplus'( Y, 
% 1.18/1.59    'c_HOL_Oone__class_Oone'( X ), X ) ) ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( 
% 1.18/1.59    'c_Power_Opower__class_Opower'( Y, X ), 'c_HOL_Ominus__class_Ominus'( 
% 1.18/1.59    hAPP( 'c_Suc', Z ), T, 'tc_nat' ) ), hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.59    hAPP( 'c_Power_Opower__class_Opower'( Y, X ), 
% 1.18/1.59    'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_nat' ) ), X ), Y ) ), ~( hBOOL( 
% 1.18/1.59    hAPP( 'c_lessequals'( T, 'tc_nat' ), Z ) ) ) ],
% 1.18/1.59     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), ~( hBOOL( 
% 1.18/1.59    hAPP( 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Otimes__class_Otimes'( Z, 
% 1.18/1.59    'tc_nat' ), X ), 'tc_nat' ), hAPP( 'c_HOL_Otimes__class_Otimes'( Z, 
% 1.18/1.59    'tc_nat' ), Y ) ) ) ) ],
% 1.18/1.59     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), ~( hBOOL( 
% 1.18/1.59    hAPP( 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Otimes__class_Otimes'( X, 
% 1.18/1.59    'tc_nat' ), Z ), 'tc_nat' ), hAPP( 'c_HOL_Otimes__class_Otimes'( Y, 
% 1.18/1.59    'tc_nat' ), Z ) ) ) ) ],
% 1.18/1.59     [ hBOOL( hAPP( X, Y ) ), ~( 'c_in'( Y, hAPP( 
% 1.18/1.59    'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.59    'tc_nat' ), 'tc_nat' ), Z ), 'tc_nat' ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_List_Osko__List__Xall__nat__less__eq__1__1'( 
% 1.18/1.59    X, Z ), 'tc_nat' ), Z ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.18/1.59    , X ), 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ), 
% 1.18/1.59    'c_HOL_Oinverse__class_Odivide'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X
% 1.18/1.59     ), T ), hAPP( 'c_HOL_Otimes__class_Otimes'( Z, X ), U ), X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =( hAPP( 
% 1.18/1.59    'c_HOL_Oabs__class_Oabs'( X ), hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X )
% 1.18/1.59    , Z ) ), hAPP( 'c_HOL_Otimes__class_Otimes'( hAPP( 
% 1.18/1.59    'c_HOL_Oabs__class_Oabs'( X ), Y ), X ), hAPP( 'c_HOL_Oabs__class_Oabs'( 
% 1.18/1.59    X ), Z ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, X ), 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y
% 1.18/1.59    , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =( hAPP( 
% 1.18/1.59    'c_HOL_Oabs__class_Oabs'( X ), hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X )
% 1.18/1.59    , Z ) ), hAPP( 'c_HOL_Otimes__class_Otimes'( hAPP( 
% 1.18/1.59    'c_HOL_Oabs__class_Oabs'( X ), Y ), X ), hAPP( 'c_HOL_Oabs__class_Oabs'( 
% 1.18/1.59    X ), Z ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.59    X ), X ), Z ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =( hAPP( 
% 1.18/1.59    'c_HOL_Oabs__class_Oabs'( X ), hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X )
% 1.18/1.59    , Z ) ), hAPP( 'c_HOL_Otimes__class_Otimes'( hAPP( 
% 1.18/1.59    'c_HOL_Oabs__class_Oabs'( X ), Y ), X ), hAPP( 'c_HOL_Oabs__class_Oabs'( 
% 1.18/1.59    X ), Z ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, X ), 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =( hAPP( 
% 1.18/1.59    'c_HOL_Oabs__class_Oabs'( X ), hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X )
% 1.18/1.59    , Z ) ), hAPP( 'c_HOL_Otimes__class_Otimes'( hAPP( 
% 1.18/1.59    'c_HOL_Oabs__class_Oabs'( X ), Y ), X ), hAPP( 'c_HOL_Oabs__class_Oabs'( 
% 1.18/1.59    X ), Z ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.59    X ), X ), Z ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP( 
% 1.18/1.59    'c_HOL_Oabs__class_Oabs'( X ), hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X )
% 1.18/1.59    , Z ) ), hAPP( 'c_HOL_Otimes__class_Otimes'( hAPP( 
% 1.18/1.59    'c_HOL_Oabs__class_Oabs'( X ), Y ), X ), hAPP( 'c_HOL_Oabs__class_Oabs'( 
% 1.18/1.59    X ), Z ) ) ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.18/1.59    , hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X )
% 1.18/1.59    , 'c_HOL_Oplus__class_Oplus'( T, Z, X ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( Y, X ), T ) ) ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.18/1.59    , hBOOL( hAPP( 'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), 
% 1.18/1.59    'c_HOL_Oplus__class_Oplus'( Z, T, X ) ) ) ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.18/1.59    , hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X )
% 1.18/1.59    , 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( Z, X ), T ) ) ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.18/1.59    , hBOOL( hAPP( 'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( T, Y, X ), X ), 
% 1.18/1.59    'c_HOL_Oplus__class_Oplus'( T, Z, X ) ) ) ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), hBOOL( 
% 1.18/1.59    hAPP( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), 
% 1.18/1.59    'c_HOL_Oplus__class_Oplus'( T, Z, X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( 
% 1.18/1.59    Y, X ), T ) ) ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), hBOOL( 
% 1.18/1.59    hAPP( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), 
% 1.18/1.59    'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( 
% 1.18/1.59    Z, X ), T ) ) ) ],
% 1.18/1.59     [ hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y, 
% 1.18/1.59    'tc_nat' ), 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ) ) )
% 1.18/1.59    , ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Z ) ) ) ],
% 1.18/1.59     [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Z, X, 'tc_nat' ), 'tc_nat' )
% 1.18/1.59    , 'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ) ) ) ) ],
% 1.18/1.59     [ hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y, 
% 1.18/1.59    'tc_nat' ), 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ) ) )
% 1.18/1.59    , ~( hBOOL( hAPP( 'c_lessequals'( Y, 'tc_nat' ), Z ) ) ) ],
% 1.18/1.59     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( 'c_Suc', 
% 1.18/1.59    X ) ) ) ],
% 1.18/1.59     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( 'c_Suc', 
% 1.18/1.59    X ) ) ) ],
% 1.18/1.59     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', X ), 'tc_nat' )
% 1.18/1.59    , Y ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, 'tc_nat' ), Y ) )
% 1.18/1.59     ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Z ) ) ) ]
% 1.18/1.59    ,
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.18/1.59    'c_Ring__and__Field_Odvd__class_Odvd'( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.59    Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ), hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.18/1.59    X ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.18/1.59    'c_Ring__and__Field_Odvd__class_Odvd'( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ), Y ), hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ), 
% 1.18/1.59    X ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), 
% 1.18/1.59    =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), ~( hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Y
% 1.18/1.59     ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( hAPP( 'c_Power_Opower__class_Opower'( Y, X ), 
% 1.18/1.59    Z ), X ), hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), hAPP( 
% 1.18/1.59    'c_Power_Opower__class_Opower'( Y, X ), Z ) ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ), Y ) ) ) ]
% 1.18/1.59    ,
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( 
% 1.18/1.59    'c_HOL_Oinverse__class_Oinverse'( X ), 'c_HOL_Oinverse__class_Odivide'( Y
% 1.18/1.59    , Z, X ) ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), Z ), X ), 
% 1.18/1.59    hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), T ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ), ~( hBOOL( 
% 1.18/1.59    hAPP( 'c_lessequals'( Z, X ), T ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), Z ), X ), 
% 1.18/1.59    hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), T ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ), ~( hBOOL( 
% 1.18/1.59    hAPP( 'c_lessequals'( Z, X ), T ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), Z ), X ), 
% 1.18/1.59    hAPP( 'c_HOL_Otimes__class_Otimes'( T, X ), Z ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( 
% 1.18/1.59    hAPP( 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), Z ), X ), 
% 1.18/1.59    hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), T ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( 
% 1.18/1.59    hAPP( 'c_lessequals'( T, X ), Z ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), Z ), X ), 
% 1.18/1.59    hAPP( 'c_HOL_Otimes__class_Otimes'( T, X ), Z ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( 
% 1.18/1.59    hAPP( 'c_lessequals'( T, X ), Y ) ) ) ],
% 1.18/1.59     [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( Y, 'tc_nat' ), Z ), 'tc_nat' ), 
% 1.18/1.59    'c_HOL_Oplus__class_Oplus'( X, hAPP( 'c_HOL_Otimes__class_Otimes'( Y, 
% 1.18/1.59    'tc_nat' ), T ), 'tc_nat' ) ) ), =( Z, T ), =( Y, 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 1.18/1.59    X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( Z, X ), T ), X ), 
% 1.18/1.59    'c_HOL_Oplus__class_Oplus'( Y, hAPP( 'c_HOL_Otimes__class_Otimes'( Z, X )
% 1.18/1.59    , U ), X ) ) ), =( T, U ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =( 
% 1.18/1.59    'c_HOL_Oplus__class_Oplus'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), Y
% 1.18/1.59     ), hAPP( 'c_HOL_Otimes__class_Otimes'( Z, X ), Z ), X ), 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.18/1.59     ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =( 
% 1.18/1.59    'c_HOL_Oplus__class_Oplus'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), Y
% 1.18/1.59     ), hAPP( 'c_HOL_Otimes__class_Otimes'( Z, X ), Z ), X ), 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 1.18/1.59     ) ) ],
% 1.18/1.59     [ ~( =( X, hAPP( 'c_Suc', X ) ) ) ],
% 1.18/1.59     [ ~( =( hAPP( 'c_Suc', X ), X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =( hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( Y, X ), Z ), 'c_HOL_Oone__class_Oone'( X )
% 1.18/1.59     ) ), =( hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Y ), Z ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Y, X ), hAPP( 'c_HOL_Otimes__class_Otimes'( Z
% 1.18/1.59    , X ), T ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X
% 1.18/1.59     ), Z ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 1.18/1.59     ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Y, X ), hAPP( 'c_HOL_Otimes__class_Otimes'( T
% 1.18/1.59    , X ), Z ) ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), Z
% 1.18/1.59     ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Oinverse__class_Odivide'( T, Z
% 1.18/1.59    , X ) ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T
% 1.18/1.59    , X ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), T
% 1.18/1.59     ), X ), Z ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 1.18/1.59     ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( T, X ), Z ) ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.18/1.59     ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T
% 1.18/1.59    , X ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( Y, X ), T ), X ), Z ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) )
% 1.18/1.59     ],
% 1.18/1.59     [ ~( 'class_Orderings_Oorder'( X ) ), ~( =( hAPP( 
% 1.18/1.59    'c_SetInterval_Oord__class_OatLeastLessThan'( Y, X ), Z ), 
% 1.18/1.59    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), ~( hBOOL( 
% 1.18/1.59    hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ) ],
% 1.18/1.59     [ ~( 'class_Orderings_Oorder'( X ) ), =( hAPP( 
% 1.18/1.59    'c_SetInterval_Oord__class_OatLeastLessThan'( Y, X ), Z ), 
% 1.18/1.59    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), 
% 1.18/1.59    hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.18/1.59    X ), Y ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oinverse__class_Odivide'( Y
% 1.18/1.59    , Z, X ) ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), 
% 1.18/1.59    hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.18/1.59    X ), Z ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oinverse__class_Odivide'( Z
% 1.18/1.59    , Y, X ) ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), 
% 1.18/1.59    hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.18/1.59    X ), Z ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oinverse__class_Odivide'( Y
% 1.18/1.59    , Z, X ) ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), 
% 1.18/1.59    hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.18/1.59    X ), Y ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oinverse__class_Odivide'( Z
% 1.18/1.59    , Y, X ) ) ) ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( 
% 1.18/1.59    'c_Finite__Set_Osetsum'( Y, 'tc_nat', X ), hAPP( 
% 1.18/1.59    'c_SetInterval_Oord__class_OatLeastLessThan'( Z, 'tc_nat' ), hAPP( 
% 1.18/1.59    'c_Suc', T ) ) ), 'c_HOL_Oplus__class_Oplus'( hAPP( 
% 1.18/1.59    'c_Finite__Set_Osetsum'( Y, 'tc_nat', X ), hAPP( 
% 1.18/1.59    'c_SetInterval_Oord__class_OatLeastLessThan'( Z, 'tc_nat' ), T ) ), hAPP( 
% 1.18/1.59    Y, T ), X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, 'tc_nat' ), Z )
% 1.18/1.59     ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.18/1.59    , ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.18/1.59     ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.18/1.59    , ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.18/1.59     ) ) ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( Y, X ), Y ), Y ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL( 
% 1.18/1.59    hAPP( 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X
% 1.18/1.59     ), Z ), X ), hAPP( 'c_HOL_Otimes__class_Otimes'( T, X ), U ) ) ), ~( 
% 1.18/1.59    hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) )
% 1.18/1.59     ), ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.18/1.59    , Y ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), U ) ) ), 
% 1.18/1.59    ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.18/1.59     [ hBOOL( hAPP( 'c_lessequals'( hAPP( 'c_HOL_Otimes__class_Otimes'( X, 
% 1.18/1.59    'tc_nat' ), Y ), 'tc_nat' ), hAPP( 'c_HOL_Otimes__class_Otimes'( Z, 
% 1.18/1.59    'tc_nat' ), Y ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Z ) )
% 1.18/1.59     ) ],
% 1.18/1.59     [ hBOOL( hAPP( 'c_lessequals'( hAPP( 'c_HOL_Otimes__class_Otimes'( X, 
% 1.18/1.59    'tc_nat' ), Y ), 'tc_nat' ), hAPP( 'c_HOL_Otimes__class_Otimes'( X, 
% 1.18/1.59    'tc_nat' ), Z ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, 'tc_nat' ), Z ) )
% 1.18/1.59     ) ],
% 1.18/1.59     [ hBOOL( hAPP( 'c_lessequals'( hAPP( 'c_HOL_Otimes__class_Otimes'( X, 
% 1.18/1.59    'tc_nat' ), Y ), 'tc_nat' ), hAPP( 'c_HOL_Otimes__class_Otimes'( X, 
% 1.18/1.59    'tc_nat' ), Z ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, 'tc_nat' ), Z ) )
% 1.18/1.59     ) ],
% 1.18/1.59     [ hBOOL( hAPP( 'c_lessequals'( hAPP( 'c_HOL_Otimes__class_Otimes'( X, 
% 1.18/1.59    'tc_nat' ), Y ), 'tc_nat' ), hAPP( 'c_HOL_Otimes__class_Otimes'( Z, 
% 1.18/1.59    'tc_nat' ), Y ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Z ) )
% 1.18/1.59     ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( hAPP( 'c_Power_Opower__class_Opower'( Y, X ), Z ), X ), 
% 1.18/1.59    hAPP( 'c_Power_Opower__class_Opower'( T, X ), Z ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( Y, X ), T ) ) ), 'c_Parity_Oeven__odd__class_Oeven'( Z, 
% 1.18/1.59    'tc_nat' ) ],
% 1.18/1.59     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.59    'tc_nat' ), 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ) )
% 1.18/1.59     ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), X ) ) ) ]
% 1.18/1.59    ,
% 1.18/1.59     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), ~( hBOOL( 
% 1.18/1.59    hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 1.18/1.59    'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ) ) ) ) ],
% 1.18/1.59     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( 'c_Suc', 
% 1.18/1.59    Y ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) )
% 1.18/1.59     ) ],
% 1.18/1.59     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), ~( hBOOL( 
% 1.18/1.59    hAPP( 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', X ), 'tc_nat' ), Y ) ) )
% 1.18/1.59     ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =( hAPP( 
% 1.18/1.59    'c_HOL_Oinverse__class_Oinverse'( X ), Y ), hAPP( 
% 1.18/1.59    'c_HOL_Oinverse__class_Oinverse'( X ), Z ) ) ), =( Y, Z ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.59    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.18/1.59    , X ), Z ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), X
% 1.18/1.59     ), 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.59    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.59    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), 
% 1.18/1.59    'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) )
% 1.18/1.59    , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.18/1.59    , X ), T ), X ), Z ) ) ) ],
% 1.18/1.59     [ ~( =( hAPP( 'c_HOL_Otimes__class_Otimes'( hAPP( 'c_Suc', X ), 'tc_nat'
% 1.18/1.59     ), Y ), hAPP( 'c_HOL_Otimes__class_Otimes'( hAPP( 'c_Suc', X ), 'tc_nat'
% 1.18/1.59     ), Z ) ) ), =( Y, Z ) ],
% 1.18/1.59     [ =( hAPP( 'c_Suc', 'c_HOL_Ominus__class_Ominus'( X, hAPP( 'c_Suc', 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ), X ), ~( hBOOL( 
% 1.18/1.59    hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 1.18/1.59    'tc_nat' ), X ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.59    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( 
% 1.18/1.59    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), 
% 1.18/1.59    'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) )
% 1.18/1.59    , ~( hBOOL( hAPP( 'c_lessequals'( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.59    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), T ), X ), Z ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.59    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.18/1.59    , X ), Z ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), 
% 1.18/1.59    'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.59    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( 
% 1.18/1.59    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), 
% 1.18/1.59    'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( T, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), 
% 1.18/1.59    ~( hBOOL( hAPP( 'c_lessequals'( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.59    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), T ), X ), Z ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.59    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( 
% 1.18/1.59    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), 
% 1.18/1.59    'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z
% 1.18/1.59    , X ), hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.59    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), T ) ) ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ]
% 1.18/1.59    ,
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =( 
% 1.18/1.59    'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Oplus__class_Oplus'( Y, Z, 
% 1.18/1.59    'tc_nat' ), X ), 'c_HOL_Oplus__class_Oplus'( 
% 1.18/1.59    'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), 
% 1.18/1.59    'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( 
% 1.18/1.59    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.18/1.59    , U, X ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( 
% 1.18/1.59    hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ), U ) ) ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( 
% 1.18/1.59    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.18/1.59    , U, X ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ), U ) ), ~( 
% 1.18/1.59    hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( 
% 1.18/1.59    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.18/1.59    , U, X ) ) ), hBOOL( hAPP( 'c_lessequals'( Z, X ), Y ) ), ~( hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( U, X ), T ) ) ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( 
% 1.18/1.59    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.18/1.59    , U, X ) ) ), hBOOL( hAPP( 'c_lessequals'( U, X ), T ) ), ~( hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( Z, X ), Y ) ) ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( 
% 1.18/1.59    'c_Finite__Set_Osetsum'( Y, 'tc_nat', X ), hAPP( 
% 1.18/1.59    'c_SetInterval_Oord__class_OatLeastLessThan'( Z, 'tc_nat' ), T ) ), 
% 1.18/1.59    'c_HOL_Oplus__class_Oplus'( hAPP( Y, Z ), hAPP( 'c_Finite__Set_Osetsum'( 
% 1.18/1.59    Y, 'tc_nat', X ), hAPP( 'c_SetInterval_Oord__class_OatLeastLessThan'( 
% 1.18/1.59    hAPP( 'c_Suc', Z ), 'tc_nat' ), T ) ), X ) ), ~( hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Z, 'tc_nat' ), T ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Odvd'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 1.18/1.59    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'( 
% 1.18/1.59    'c_HOL_Ominus__class_Ominus'( Z, hAPP( 'c_HOL_Otimes__class_Otimes'( T, X
% 1.18/1.59     ), U ), X ), W, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 
% 1.18/1.59    'c_HOL_Oplus__class_Oplus'( Z, W, X ), X ) ), ~( 
% 1.18/1.59    'c_Ring__and__Field_Odvd__class_Odvd'( Y, U, X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Odvd'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Ocomm__ring'( X ) ), 
% 1.18/1.59    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'( Z, 
% 1.18/1.59    T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 
% 1.18/1.59    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Z, hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( U, X ), W ), X ), T, X ), X ) ), ~( 
% 1.18/1.59    'c_Ring__and__Field_Odvd__class_Odvd'( Y, W, X ) ) ],
% 1.18/1.59     [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), hAPP( 'c_Suc', 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X, 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y, 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.18/1.59     [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), hAPP( 'c_Suc', 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, hAPP( 'c_Suc', 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, hAPP( 'c_Suc', 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.18/1.59     [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), =( Y, Z ), ~( hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( Y, X ), Z ) ) ) ],
% 1.18/1.59     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( 
% 1.18/1.59    Y, X ), Z ) ) ) ],
% 1.18/1.59     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), =( X, Y
% 1.18/1.59     ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ) ) ],
% 1.18/1.59     [ =( X, Y ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y )
% 1.18/1.59     ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ) ) ],
% 1.18/1.59     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), =( X, Y
% 1.18/1.59     ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ) ) ],
% 1.18/1.59     [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), =( Y, Z ), ~( hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( Y, X ), Z ) ) ) ],
% 1.18/1.59     [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( 
% 1.18/1.59    Y, X ), Z ) ) ), =( Y, Z ) ],
% 1.18/1.59     [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( Y, X ), Z ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.59    Y, X ), Z ) ) ],
% 1.18/1.59     [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( 
% 1.18/1.59    Y, X ), Z ) ) ) ],
% 1.18/1.59     [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( 
% 1.18/1.59    Y, X ), Z ) ) ), =( Z, Y ) ],
% 1.18/1.59     [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), =( Z, Y ), ~( hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( Y, X ), Z ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), 
% 1.18/1.59    'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( 
% 1.18/1.59    hAPP( 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), 
% 1.18/1.59    'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( 
% 1.18/1.59    hAPP( 'c_lessequals'( T, X ), Y ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( Y, X ), Z ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( 
% 1.18/1.59    hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ]
% 1.18/1.59    ,
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( Y, X ), Z ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( 
% 1.18/1.59    hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ]
% 1.18/1.59    ,
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( Y, X ), Z ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( 
% 1.18/1.59    hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ]
% 1.18/1.59    ,
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( Y, X ), Y ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( Y, X ), Z ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( 
% 1.18/1.59    hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ]
% 1.18/1.59    ,
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( Y, X ), Z ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( 
% 1.18/1.59    hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ]
% 1.18/1.59    ,
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), hBOOL( 
% 1.18/1.59    hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( Y, X ), Z ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( 
% 1.18/1.59    hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ]
% 1.18/1.59    ,
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 
% 1.18/1.59    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.18/1.59     ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, Z ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 1.18/1.59    'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Y
% 1.18/1.59    , 'tc_nat' ), 'tc_nat' ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.59    hAPP( 'c_Power_Opower__class_Opower'( Z, X ), 
% 1.18/1.59    'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), X ), 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), hBOOL( 
% 1.18/1.59    hAPP( 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( hAPP( 
% 1.18/1.59    'c_HOL_Oabs__class_Oabs'( X ), Y ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), 
% 1.18/1.59    Z ), X ), X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), 
% 1.18/1.59    'c_HOL_Ominus__class_Ominus'( Y, Z, X ) ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.59    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( 
% 1.18/1.59    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.18/1.59    , X ), X ), X ), T ) ), ~( hBOOL( hAPP( 'c_lessequals'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ), X
% 1.18/1.59     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( 
% 1.18/1.59    Y, X ), hAPP( 'c_HOL_Otimes__class_Otimes'( T, X ), 
% 1.18/1.59    'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.59    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X ), 
% 1.18/1.59    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.18/1.59    , X ), X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ), X
% 1.18/1.59     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( 
% 1.18/1.59    hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), 
% 1.18/1.59    'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), Z ) ) ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =( hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X )
% 1.18/1.59    , Z ), X ), T ), hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( Z, X ), T ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X )
% 1.18/1.59    , Z ), X ), T ), hAPP( 'c_HOL_Otimes__class_Otimes'( hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( Y, X ), T ), X ), Z ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X )
% 1.18/1.59    , Z ), X ), T ), hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( Z, X ), T ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( Y, X ), hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.59    Z, X ), T ) ), hAPP( 'c_HOL_Otimes__class_Otimes'( hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( Y, X ), Z ), X ), T ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( Y, X ), hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.59    Z, X ), T ) ), hAPP( 'c_HOL_Otimes__class_Otimes'( Z, X ), hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( Y, X ), T ) ) ) ],
% 1.18/1.59     [ =( hAPP( 'c_HOL_Otimes__class_Otimes'( hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( X, 'tc_nat' ), Y ), 'tc_nat' ), Z ), hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( X, 'tc_nat' ), hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( Y, 'tc_nat' ), Z ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( Y, X ), hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.59    Z, X ), T ) ), hAPP( 'c_HOL_Otimes__class_Otimes'( hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( Y, X ), Z ), X ), T ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X )
% 1.18/1.59    , T ), 'c_HOL_Oplus__class_Oplus'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y
% 1.18/1.59    , X ), T ), hAPP( 'c_HOL_Otimes__class_Otimes'( Z, X ), T ), X ) ) ],
% 1.18/1.59     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( Y, X ), 'c_HOL_Oplus__class_Oplus'( Z, T, X
% 1.18/1.59     ) ), 'c_HOL_Oplus__class_Oplus'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, 
% 1.18/1.59    X ), Z ), hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), T ), X ) ) ],
% 1.18/1.59     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( Y, X ), 'c_HOL_Oplus__class_Oplus'( Z, T, X
% 1.18/1.59     ) ), 'c_HOL_Oplus__class_Oplus'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, 
% 1.18/1.59    X ), Z ), hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), T ), X ) ) ],
% 1.18/1.59     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X )
% 1.18/1.59    , T ), 'c_HOL_Oplus__class_Oplus'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y
% 1.18/1.59    , X ), T ), hAPP( 'c_HOL_Otimes__class_Otimes'( Z, X ), T ), X ) ) ],
% 1.18/1.59     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X )
% 1.18/1.59    , T ), 'c_HOL_Oplus__class_Oplus'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y
% 1.18/1.59    , X ), T ), hAPP( 'c_HOL_Otimes__class_Otimes'( Z, X ), T ), X ) ) ],
% 1.18/1.59     [ =( hAPP( 'c_HOL_Otimes__class_Otimes'( X, 'tc_nat' ), 
% 1.18/1.59    'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ) ), 
% 1.18/1.59    'c_HOL_Oplus__class_Oplus'( hAPP( 'c_HOL_Otimes__class_Otimes'( X, 
% 1.18/1.59    'tc_nat' ), Y ), hAPP( 'c_HOL_Otimes__class_Otimes'( X, 'tc_nat' ), Z ), 
% 1.18/1.59    'tc_nat' ) ) ],
% 1.18/1.59     [ =( hAPP( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( X, 
% 1.18/1.59    Y, 'tc_nat' ), 'tc_nat' ), Z ), 'c_HOL_Oplus__class_Oplus'( hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( X, 'tc_nat' ), Z ), hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( Y, 'tc_nat' ), Z ), 'tc_nat' ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( Y, X ), 'c_HOL_Oplus__class_Oplus'( Z, T, X
% 1.18/1.59     ) ), 'c_HOL_Oplus__class_Oplus'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, 
% 1.18/1.59    X ), Z ), hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), T ), X ) ) ],
% 1.18/1.59     [ =( 'c_HOL_Ominus__class_Ominus'( X, hAPP( 'c_Suc', 
% 1.18/1.59    'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ) ), 'tc_nat' ), 
% 1.18/1.59    'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat'
% 1.18/1.59     ), hAPP( 'c_Suc', Y ), 'tc_nat' ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, 
% 1.18/1.59    'tc_nat' ), Y ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( hAPP( 'c_Power_Opower__class_Opower'( Y, X ), Z ), X ), 
% 1.18/1.59    hAPP( 'c_Power_Opower__class_Opower'( T, X ), Z ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ), X ), hAPP( 
% 1.18/1.59    'c_HOL_Oabs__class_Oabs'( X ), T ) ) ) ), ~( 
% 1.18/1.59    'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.18/1.59    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~( 
% 1.18/1.59    'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~( 
% 1.18/1.59    'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.18/1.59    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Y, X ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP( 
% 1.18/1.59    'c_HOL_Oabs__class_Oabs'( X ), Y ), Y ), ~( hBOOL( hAPP( 'c_lessequals'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Z, X ), Y ) ), =( Z, Y ) ],
% 1.18/1.59     [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Z, X ), Y ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ],
% 1.18/1.59     [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Z, X ), Y ) ) ],
% 1.18/1.59     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), =( Z, Y ), hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Z, X ), Y ) ) ],
% 1.18/1.59     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( Y, X ), Z ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, X ), 
% 1.18/1.59    Y ) ) ) ],
% 1.18/1.59     [ =( X, Y ), ~( hBOOL( hAPP( 'c_lessequals'( Y, 'tc_nat' ), X ) ) ), ~( 
% 1.18/1.59    hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ) ) ],
% 1.18/1.59     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), hBOOL( 
% 1.18/1.59    hAPP( 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), X ) ), =( Y, X ) ],
% 1.18/1.59     [ ~( 'class_RealVector_Ometric__space'( X ) ), =( Y, Z ), ~( 
% 1.18/1.59    'c_SEQ_OLIMSEQ'( T, Z, X ) ), ~( 'c_SEQ_OLIMSEQ'( T, Y, X ) ) ],
% 1.18/1.59     [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), Z ) ), =( Z, Y ), hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Z, 'tc_nat' ), Y ) ) ],
% 1.18/1.59     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), hBOOL( 
% 1.18/1.59    hAPP( 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), X ) ), =( Y, X ) ],
% 1.18/1.59     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( Z, X ), Y ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), 
% 1.18/1.59    Z ) ) ) ],
% 1.18/1.59     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Z, X ), Y ) ), =( Z, Y ) ],
% 1.18/1.59     [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( Z, X ), Y ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), 
% 1.18/1.59    Z ) ) ) ],
% 1.18/1.59     [ =( hAPP( 'c_List_Onth'( 'c_List_Odrop'( X, Y, Z ), Z ), T ), hAPP( 
% 1.18/1.59    'c_List_Onth'( Y, Z ), 'c_HOL_Oplus__class_Oplus'( X, T, 'tc_nat' ) ) ), 
% 1.18/1.59    ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, T, 
% 1.18/1.59    'tc_nat' ), 'tc_nat' ), 'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z
% 1.18/1.59     ) ) ) ) ) ],
% 1.18/1.59     [ =( 'c_HOL_Oord__class_Oless'( 'v_n', 'tc_nat' ), 'c_lessequals'( hAPP( 
% 1.18/1.59    'c_Suc', 'v_n' ), 'tc_nat' ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ), hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( Y, X ), hAPP( 
% 1.18/1.59    'c_Power_Opower__class_Opower'( Y, X ), Z ) ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ), Y ) ) ) ]
% 1.18/1.59    ,
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Oinverse__class_Odivide'( 
% 1.18/1.59    hAPP( 'c_HOL_Otimes__class_Otimes'( Z, X ), Y ), Y, X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( 
% 1.18/1.59    hAPP( 'c_HOL_Otimes__class_Otimes'( Z, X ), Y ), Y, X ), Z ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), hBOOL( 
% 1.18/1.59    hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Oplus__class_Oplus'( Z, hAPP( 
% 1.18/1.59    'c_HOL_Oabs__class_Oabs'( X ), T ), X ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), Z ) ) ) ]
% 1.18/1.59    ,
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y, 
% 1.18/1.59    'c_HOL_Oinverse__class_Odivide'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X
% 1.18/1.59     ), Z ), Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.18/1.59    'c_HOL_Oinverse__class_Odivide'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X
% 1.18/1.59     ), Z ), Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.59     [ ~( 'class_Orderings_Oorder'( X ) ), =( hAPP( 
% 1.18/1.59    'c_SetInterval_Oord__class_OatLeastLessThan'( Y, X ), Z ), 
% 1.18/1.59    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( 
% 1.18/1.59    hAPP( 'c_lessequals'( Z, X ), Y ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( 
% 1.18/1.59    X ), Y, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( 
% 1.18/1.59    hAPP( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( 
% 1.18/1.59    'c_HOL_Oone__class_Oone'( X ), Y, X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.18/1.59     ) ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.59    'class_Int_Onumber'( X ) ), ~( =( 'c_HOL_Oinverse__class_Odivide'( Y, 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.18/1.59    Z, X ) ) ), =( 'c_Int_Onumber__class_Onumber__of'( Z, X ), 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.59    'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 
% 1.18/1.59    X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( 
% 1.18/1.59    'c_HOL_Oinverse__class_Odivide'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.18/1.59    , 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( Y, 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP( 
% 1.18/1.59    'c_HOL_Oabs__class_Oabs'( X ), Y ), X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.18/1.59     ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Y
% 1.18/1.59     ), X ), 'c_HOL_Oone__class_Oone'( X ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.18/1.59     [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 1.18/1.59     ) ), Y ) ) ) ],
% 1.18/1.59     [ =( 'c_SetInterval_Oord__class_OlessThan'( 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.59    'tc_nat' ), 'tc_nat' ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 
% 1.18/1.59    'tc_nat', 'tc_bool' ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X )
% 1.18/1.59    , Z ), X ), hAPP( 'c_HOL_Otimes__class_Otimes'( T, X ), U ) ), hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( T, X ), hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.59    hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), Z ), X ), U ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X )
% 1.18/1.59    , Z ), X ), hAPP( 'c_HOL_Otimes__class_Otimes'( T, X ), U ) ), hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( Y, X ), hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.59    Z, X ), hAPP( 'c_HOL_Otimes__class_Otimes'( T, X ), U ) ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X )
% 1.18/1.59    , Z ), X ), hAPP( 'c_HOL_Otimes__class_Otimes'( T, X ), U ) ), hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X )
% 1.18/1.59    , T ), X ), hAPP( 'c_HOL_Otimes__class_Otimes'( Z, X ), U ) ) ) ],
% 1.18/1.59     [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( X, Y, 
% 1.18/1.59    'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( X, 
% 1.18/1.59    'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ), ~( hBOOL( 
% 1.18/1.59    hAPP( 'c_lessequals'( Z, 'tc_nat' ), Y ) ) ) ],
% 1.18/1.59     [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( X, Y, 
% 1.18/1.59    'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( 
% 1.18/1.59    'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ), Y, 'tc_nat' ) ), ~( hBOOL( 
% 1.18/1.59    hAPP( 'c_lessequals'( Z, 'tc_nat' ), X ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ) ), hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.18/1.59    X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL( 
% 1.18/1.59    hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 1.18/1.59     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.18/1.59    , ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.18/1.59     ) ) ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL( 
% 1.18/1.59    hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 1.18/1.59     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( 
% 1.18/1.59    Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.18/1.59     ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.18/1.59    'c_HOL_Oinverse__class_Odivide'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y )
% 1.18/1.59    , Z, X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), 
% 1.18/1.59    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.18/1.59     ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( Y, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ), 
% 1.18/1.59    ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ), 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z
% 1.18/1.59    , X ), hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), T ) ) ) ), ~( hBOOL( 
% 1.18/1.59    hAPP( 'c_lessequals'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), T ), X
% 1.18/1.59     ), Z ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), T ) ), 
% 1.18/1.59    ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( 
% 1.18/1.59    hAPP( 'c_HOL_Otimes__class_Otimes'( T, X ), Z ), X ), Y ) ) ), ~( hBOOL( 
% 1.18/1.59    hAPP( 'c_lessequals'( Y, X ), hAPP( 'c_HOL_Otimes__class_Otimes'( T, X )
% 1.18/1.59    , Z ) ) ) ) ],
% 1.18/1.59     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_SEQ_OLIMSEQ'( 
% 1.18/1.59    'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( Y, X ), Z, X, X, 'tc_nat' ), 
% 1.18/1.59    hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), T ), X ), ~( 'c_SEQ_OLIMSEQ'( 
% 1.18/1.59    Z, T, X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( hBOOL( 
% 1.18/1.59    hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( Y, X ), Y ), hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( Z, X ), Z ), X ), X ), 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.18/1.59     [ =( 'c_Nat_Onat_Onat__case'( X, Y, hAPP( 'c_Suc', Z ), T ), hAPP( Y, Z
% 1.18/1.59     ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.59    'class_Int_Onumber'( X ) ), =( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.18/1.59    'c_HOL_Oinverse__class_Odivide'( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.18/1.59    Y, X ) ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.18/1.59     [ =( hAPP( 'c_HOL_Otimes__class_Otimes'( X, 'tc_nat' ), hAPP( 'c_Suc', Y
% 1.18/1.59     ) ), 'c_HOL_Oplus__class_Oplus'( X, hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.59    X, 'tc_nat' ), Y ), 'tc_nat' ) ) ],
% 1.18/1.59     [ =( hAPP( 'c_HOL_Otimes__class_Otimes'( hAPP( 'c_Suc', X ), 'tc_nat' )
% 1.18/1.59    , Y ), 'c_HOL_Oplus__class_Oplus'( Y, hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.59    X, 'tc_nat' ), Y ), 'tc_nat' ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL( 
% 1.18/1.59    hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.18/1.59     ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( Y, X ), Z ) ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL( 
% 1.18/1.59    hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.18/1.59     ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( Z, X ), Y ) ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL( 
% 1.18/1.59    hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.18/1.59    hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), Z ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.18/1.59    , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.59    X ), X ), Y ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( Y, X ), Z ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.18/1.59    , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.18/1.59     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.59    'tc_nat' ), 'tc_nat' ), hAPP( 'c_HOL_Otimes__class_Otimes'( X, 'tc_nat' )
% 1.18/1.59    , Y ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), Y ) ) ), ~( hBOOL( 
% 1.18/1.59    hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 1.18/1.59    'tc_nat' ), X ) ) ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.18/1.59     ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), 
% 1.18/1.59    ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y
% 1.18/1.59    , Y, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), 
% 1.18/1.59    ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y
% 1.18/1.59    , Y, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.18/1.59     ],
% 1.18/1.59     [ ~( =( 'c_HOL_Oplus__class_Oplus'( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.59    X, 'tc_nat' ), Y ), Z, 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( T, 'tc_nat' ), Y ), U, 'tc_nat' ) ) ), ~( 
% 1.18/1.59    hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), T ) ) ), =( Z, 
% 1.18/1.59    'c_HOL_Oplus__class_Oplus'( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.59    'c_HOL_Ominus__class_Ominus'( T, X, 'tc_nat' ), 'tc_nat' ), Y ), U, 
% 1.18/1.59    'tc_nat' ) ) ],
% 1.18/1.59     [ ~( =( 'c_HOL_Oplus__class_Oplus'( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.59    X, 'tc_nat' ), Y ), Z, 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( T, 'tc_nat' ), Y ), U, 'tc_nat' ) ) ), ~( 
% 1.18/1.59    hBOOL( hAPP( 'c_lessequals'( T, 'tc_nat' ), X ) ) ), =( 
% 1.18/1.59    'c_HOL_Oplus__class_Oplus'( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.59    'c_HOL_Ominus__class_Ominus'( X, T, 'tc_nat' ), 'tc_nat' ), Y ), Z, 
% 1.18/1.59    'tc_nat' ), U ) ],
% 1.18/1.59     [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.59    hAPP( 'c_Suc', hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) )
% 1.18/1.59    , 'tc_nat' ), X ), 'tc_nat' ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.18/1.59    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 1.18/1.59    , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'( 
% 1.18/1.59    Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.18/1.59     [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( 
% 1.18/1.59    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 1.18/1.59    , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'( 
% 1.18/1.59    Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =( 
% 1.18/1.59    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.18/1.59     ), ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.18/1.59    , Z ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X
% 1.18/1.59     ), X ), Y ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =( 
% 1.18/1.59    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.18/1.59     ), ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.18/1.59    , Z ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X
% 1.18/1.59     ), X ), Y ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.59    'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 
% 1.18/1.59    X ), 'c_HOL_Oinverse__class_Odivide'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.18/1.59    , X ) ) ), =( 'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.59    'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 
% 1.18/1.59    X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( 
% 1.18/1.59    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.18/1.59    'c_HOL_Oinverse__class_Odivide'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.18/1.59     ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.59    'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 
% 1.18/1.59    X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.59    X ), 'c_HOL_Oinverse__class_Odivide'( Z, 
% 1.18/1.59    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.18/1.59     [ ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ) ), =( 
% 1.18/1.59    'c_HOL_Oplus__class_Oplus'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, 
% 1.18/1.59    'tc_nat' ), Z ), T, 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( X, 'tc_nat' ), Z ), 
% 1.18/1.59    'c_HOL_Oplus__class_Oplus'( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.59    'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ), 'tc_nat' ), Z ), T, 
% 1.18/1.59    'tc_nat' ), 'tc_nat' ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( hAPP( 'c_Power_Opower__class_Opower'( Y, X
% 1.18/1.59     ), Z ), X ), hAPP( 'c_Power_Opower__class_Opower'( Y, X ), T ) ), hAPP( 
% 1.18/1.59    'c_Power_Opower__class_Opower'( Y, X ), 'c_HOL_Oplus__class_Oplus'( Z, T
% 1.18/1.59    , 'tc_nat' ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), 
% 1.18/1.59    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 1.18/1.59    , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~( 
% 1.18/1.59    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL( 
% 1.18/1.59    hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL( 
% 1.18/1.59    hAPP( 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X
% 1.18/1.59     ), T ), X ), hAPP( 'c_HOL_Otimes__class_Otimes'( Z, X ), T ) ) ) ) ]
% 1.18/1.59    ,
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL( 
% 1.18/1.59    hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL( 
% 1.18/1.59    hAPP( 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Otimes__class_Otimes'( T, X
% 1.18/1.59     ), Y ), X ), hAPP( 'c_HOL_Otimes__class_Otimes'( T, X ), Z ) ) ) ) ]
% 1.18/1.59    ,
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), T
% 1.18/1.59     ), X ), hAPP( 'c_HOL_Otimes__class_Otimes'( Z, X ), T ) ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Otimes__class_Otimes'( T, X ), Y
% 1.18/1.59     ), X ), hAPP( 'c_HOL_Otimes__class_Otimes'( T, X ), Z ) ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( Y, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ), 
% 1.18/1.59    ~( hBOOL( hAPP( 'c_lessequals'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X
% 1.18/1.59     ), T ), X ), Z ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), T ) ), 
% 1.18/1.59    ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( T, X ), Z ) ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.18/1.59     ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( Y, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ), 
% 1.18/1.59    ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.18/1.59     ), X ), T ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( Y, X ), T ), X ), Z ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), Z ), X ), T )
% 1.18/1.59     ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.59    X ), X ), Z ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), 
% 1.18/1.59    'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), T ) ), 
% 1.18/1.59    ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.18/1.59     ), X ), Z ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( T, X ), Z ) ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( Y, X ), hAPP( 'c_HOL_Otimes__class_Otimes'( Z, X ), T ) )
% 1.18/1.59     ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.59    X ), X ), T ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( 
% 1.18/1.59    'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), Z ) ) ) ],
% 1.18/1.59     [ ~( 'class_Nat_Osemiring__char__0'( X ) ), ~( =( 
% 1.18/1.59    'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), 
% 1.18/1.59    'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ), =( Y, Z ) ],
% 1.18/1.59     [ 'c_Finite__Set_Ofinite'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 
% 1.18/1.59    'tc_bool' ) ), X ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.18/1.59    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oone__class_Oone'( X ), 
% 1.18/1.59    hAPP( 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), X )
% 1.18/1.59    , Y ), X ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.59    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( 
% 1.18/1.59    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), 
% 1.18/1.59    'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( T, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.18/1.59    , ~( hBOOL( hAPP( 'c_lessequals'( Z, X ), hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.18/1.59    , X ), T ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.18/1.59    , X ), T ), X ), Z ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( 
% 1.18/1.59    'c_Power_Opower__class_Opower'( Y, X ), 
% 1.18/1.59    'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ), 
% 1.18/1.59    'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.18/1.59    , 'tc_nat' ), 'tc_nat' ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), 
% 1.18/1.59    'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.18/1.59    , 'tc_nat' ), 'tc_nat' ), ~( hBOOL( hAPP( 'c_lessequals'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( 
% 1.18/1.59    'c_Power_Opower__class_Opower'( Y, X ), 
% 1.18/1.59    'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ) ) ) ) ],
% 1.18/1.59     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.59    'c_List_Osko__List__Xex__nat__less__eq__1__2'( X, Y ), 'tc_nat' ), Y ) )
% 1.18/1.59    , ~( hBOOL( hAPP( X, Z ) ) ), ~( 'c_in'( Z, hAPP( 
% 1.18/1.59    'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.59    'tc_nat' ), 'tc_nat' ), Y ), 'tc_nat' ) ) ],
% 1.18/1.59     [ ~( =( hAPP( 'c_HOL_Otimes__class_Otimes'( X, 'tc_nat' ), Y ), hAPP( 
% 1.18/1.59    'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X, hAPP( 
% 1.18/1.59    'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.18/1.59     [ ~( =( hAPP( 'c_HOL_Otimes__class_Otimes'( X, 'tc_nat' ), Y ), hAPP( 
% 1.18/1.59    'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, hAPP( 
% 1.18/1.59    'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Y ), X ), 
% 1.18/1.59    'c_HOL_Oone__class_Oone'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X )
% 1.18/1.59    , 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.18/1.59    'c_HOL_Oplus__class_Oplus'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), Y
% 1.18/1.59     ), hAPP( 'c_HOL_Otimes__class_Otimes'( Z, X ), Z ), X ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( 'class_Int_Onumber'( X )
% 1.18/1.59     ), =( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.59    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), 
% 1.18/1.59    'c_HOL_Ominus__class_Ominus'( Z, T, X ) ), 'c_HOL_Ominus__class_Ominus'( 
% 1.18/1.59    hAPP( 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y
% 1.18/1.59    , X ), X ), Z ), hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.59    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), T ), X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.18/1.59    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) )
% 1.18/1.59     ), ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.18/1.59    , Y ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), ~( hBOOL( 
% 1.18/1.59    hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.18/1.59    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) )
% 1.18/1.59     ) ) ],
% 1.18/1.59     [ =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 
% 1.18/1.59    'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ],
% 1.18/1.59     [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( 'c_Suc', X ), Y, 'tc_nat' ), 
% 1.18/1.59    hAPP( 'c_Suc', 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ) ) ), ~( 
% 1.18/1.59    hBOOL( hAPP( 'c_lessequals'( Y, 'tc_nat' ), X ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =( hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X )
% 1.18/1.59    , T ), 'c_HOL_Oplus__class_Oplus'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y
% 1.18/1.59    , X ), T ), hAPP( 'c_HOL_Otimes__class_Otimes'( Z, X ), T ), X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 1.18/1.59     ), 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( U, X ), Z ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), U ) ) )
% 1.18/1.59    , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ), ~( hBOOL( 
% 1.18/1.59    hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ]
% 1.18/1.59    ,
% 1.18/1.59     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.59    'tc_nat' ), 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) )
% 1.18/1.59    , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.59    'tc_nat' ), 'tc_nat' ), Y ) ) ) ],
% 1.18/1.59     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.59    'tc_nat' ), 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) )
% 1.18/1.59    , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.59    'tc_nat' ), 'tc_nat' ), X ) ) ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), 
% 1.18/1.59    ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.18/1.59     ), X ), 'c_HOL_Oplus__class_Oplus'( Y, Y, X ) ) ) ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.18/1.59    'c_HOL_Oplus__class_Oplus'( Y, Y, X ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) )
% 1.18/1.59     ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP( 
% 1.18/1.59    'c_HOL_Oabs__class_Oabs'( X ), 'c_HOL_Ominus__class_Ominus'( Y, Z, X ) )
% 1.18/1.59    , hAPP( 'c_HOL_Oabs__class_Oabs'( X ), 'c_HOL_Ominus__class_Ominus'( Z, Y
% 1.18/1.59    , X ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( Y, 'tc_nat' ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( 
% 1.18/1.59    hAPP( 'c_Power_Opower__class_Opower'( T, X ), Y ), X ), hAPP( 
% 1.18/1.59    'c_Power_Opower__class_Opower'( T, X ), Z ) ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ), T ) ) ) ]
% 1.18/1.59    ,
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( Y, 'tc_nat' ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( 
% 1.18/1.59    hAPP( 'c_Power_Opower__class_Opower'( T, X ), Y ), X ), hAPP( 
% 1.18/1.59    'c_Power_Opower__class_Opower'( T, X ), Z ) ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ), T ) ) ) ]
% 1.18/1.59    ,
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( hAPP( 'c_Power_Opower__class_Opower'( Y, X ), Z ), X ), 
% 1.18/1.59    hAPP( 'c_Power_Opower__class_Opower'( Y, X ), T ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( Z, 'tc_nat' ), T ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ), Y ) ) ) ]
% 1.18/1.59    ,
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.59    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( 
% 1.18/1.59    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), 
% 1.18/1.59    'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.18/1.59    , ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( T, X )
% 1.18/1.59    , X ), Z ) ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.59    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X ), hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 1.18/1.59    , X ), T ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), 
% 1.18/1.59    'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), X ), hAPP( 
% 1.18/1.59    'c_HOL_Oinverse__class_Oinverse'( X ), Y ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ), ~( hBOOL( 
% 1.18/1.59    hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.18/1.59     ) ) ) ],
% 1.18/1.59     [ ~( 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Oone__class_Oone'( 
% 1.18/1.59    'tc_nat' ), 'tc_nat' ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), ~( hBOOL( 
% 1.18/1.59    hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( Y, X ), Z ) ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ), ~( hBOOL( 
% 1.18/1.59    hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( Z, X ), Y ) ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ), ~( hBOOL( 
% 1.18/1.59    hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( Y, X ), Z ) ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), ~( hBOOL( 
% 1.18/1.59    hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( Z, X ), Y ) ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( hBOOL( 
% 1.18/1.59    hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.18/1.59    'c_HOL_Oplus__class_Oplus'( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.18/1.59    hAPP( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.18/1.59    , 'c_HOL_Ozero__class_Ozero'( X ) ), X ) ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.59    'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 
% 1.18/1.59    X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ), =( hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.18/1.59    , X ), T ), Z ), =( T, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( 
% 1.18/1.59    'c_HOL_Oinverse__class_Oinverse'( X ), Y ), 
% 1.18/1.59    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) )
% 1.18/1.59    , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP( 
% 1.18/1.59    'c_HOL_Oabs__class_Oabs'( X ), 'c_HOL_Oone__class_Oone'( X ) ), 
% 1.18/1.59    'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.18/1.59    'c_HOL_Oplus__class_Oplus'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), Z
% 1.18/1.59     ), hAPP( 'c_HOL_Otimes__class_Otimes'( T, X ), Z ), X ), hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X )
% 1.18/1.59    , Z ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.18/1.59    'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.18/1.59    , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), 
% 1.18/1.59    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( Y, X ), U ), hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( T, X ), Z ), X ), hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( Z, X ), U ), X ) ), =( U, 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.18/1.59     ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.18/1.59    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ), 
% 1.18/1.59    'c_HOL_Oone__class_Oone'( X ), X ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( hAPP( 'c_HOL_Oinverse__class_Oinverse'( X )
% 1.18/1.59    , Y ), X ), Y ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( hAPP( 'c_HOL_Oinverse__class_Oinverse'( X )
% 1.18/1.59    , Y ), X ), Y ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( Y, X ), hAPP( 
% 1.18/1.59    'c_HOL_Oinverse__class_Oinverse'( X ), Y ) ), 'c_HOL_Oone__class_Oone'( X
% 1.18/1.59     ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.59     [ hBOOL( hAPP( 'c_lessequals'( hAPP( 'c_HOL_Otimes__class_Otimes'( X, 
% 1.18/1.59    'tc_nat' ), Y ), 'tc_nat' ), hAPP( 'c_HOL_Otimes__class_Otimes'( Z, 
% 1.18/1.59    'tc_nat' ), T ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, 'tc_nat' ), T ) )
% 1.18/1.59     ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Z ) ) ) ],
% 1.18/1.59     [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( X, 'tc_nat' ), hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( X, 'tc_nat' ), X ) ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), Z ), X ), 
% 1.18/1.59    hAPP( 'c_HOL_Otimes__class_Otimes'( T, X ), U ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( 
% 1.18/1.59    hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( 
% 1.18/1.59    hBOOL( hAPP( 'c_lessequals'( Z, X ), U ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( Y, X ), T ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), Z ), X ), 
% 1.18/1.59    hAPP( 'c_HOL_Otimes__class_Otimes'( T, X ), U ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( 
% 1.18/1.59    hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ), ~( 
% 1.18/1.59    hBOOL( hAPP( 'c_lessequals'( Z, X ), U ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( Y, X ), T ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.59    'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 
% 1.18/1.59    X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( 
% 1.18/1.59    'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.18/1.59    'c_HOL_Oinverse__class_Odivide'( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.59    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), Z ), Z, X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), 
% 1.18/1.59    hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ), 
% 1.18/1.59    ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.59    'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), Y ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 1.18/1.59     ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), 
% 1.18/1.59    hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.18/1.59    X ), Z ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 1.18/1.59     ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Otimes__class_Otimes'( T, X ), Z
% 1.18/1.59     ), X ), Y ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( T, X ), Z ) ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 1.18/1.59     ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Otimes__class_Otimes'( T, X ), Z
% 1.18/1.59     ), X ), Y ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( T, X ), Z ) ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), 
% 1.18/1.59    hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ), 
% 1.18/1.59    ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), 
% 1.18/1.59    'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T
% 1.18/1.59    , X ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( T, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), 
% 1.18/1.59    hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.18/1.59    X ), T ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T
% 1.18/1.59    , X ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ), 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Z, X ), hAPP( 'c_HOL_Otimes__class_Otimes'( Y
% 1.18/1.59    , X ), T ) ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( Y, X ), T ), X ), Z ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T
% 1.18/1.59    , X ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Z, X ), hAPP( 'c_HOL_Otimes__class_Otimes'( Y
% 1.18/1.59    , X ), T ) ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( Y, X ), T ), X ), Z ) ) ) ],
% 1.18/1.59     [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Oplus__class_Oplus'( X, Y, 
% 1.18/1.59    'tc_nat' ), 'tc_nat' ), 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' )
% 1.18/1.59    , 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.18/1.59     [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Oplus__class_Oplus'( X, Y, 
% 1.18/1.59    'tc_nat' ), 'tc_nat' ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Y, 
% 1.18/1.59    'tc_nat' ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ]
% 1.18/1.59    ,
% 1.18/1.59     [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ), 
% 1.18/1.59    'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), ~( 
% 1.18/1.59    'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Oplus__class_Oplus'( X, Y, 
% 1.18/1.59    'tc_nat' ), 'tc_nat' ) ) ],
% 1.18/1.59     [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ), 
% 1.18/1.59    'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), ~( 
% 1.18/1.59    'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Oplus__class_Oplus'( Y, X, 
% 1.18/1.59    'tc_nat' ), 'tc_nat' ) ) ],
% 1.18/1.59     [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Oplus__class_Oplus'( X, Y, 
% 1.18/1.59    'tc_nat' ), 'tc_nat' ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Y, 
% 1.18/1.59    'tc_nat' ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ]
% 1.18/1.59    ,
% 1.18/1.59     [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Oplus__class_Oplus'( X, Y, 
% 1.18/1.59    'tc_nat' ), 'tc_nat' ), 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' )
% 1.18/1.59    , 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.18/1.59     [ 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ), ~( 
% 1.18/1.59    'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), ~( 
% 1.18/1.59    'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Oplus__class_Oplus'( X, Y, 
% 1.18/1.59    'tc_nat' ), 'tc_nat' ) ) ],
% 1.18/1.59     [ 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ), ~( 
% 1.18/1.59    'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), ~( 
% 1.18/1.59    'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Oplus__class_Oplus'( Y, X, 
% 1.18/1.59    'tc_nat' ), 'tc_nat' ) ) ],
% 1.18/1.59     [ ~( 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Oplus__class_Oplus'( X, 
% 1.18/1.59    Y, 'tc_nat' ), 'tc_nat' ) ), 'c_Parity_Oeven__odd__class_Oeven'( Y, 
% 1.18/1.59    'tc_nat' ), ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.18/1.59     [ ~( 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Oplus__class_Oplus'( X, 
% 1.18/1.59    Y, 'tc_nat' ), 'tc_nat' ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Y, 
% 1.18/1.59    'tc_nat' ) ), 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.18/1.59     [ 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ), 
% 1.18/1.59    'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), 
% 1.18/1.59    'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Oplus__class_Oplus'( X, Y, 
% 1.18/1.59    'tc_nat' ), 'tc_nat' ) ],
% 1.18/1.59     [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ), ~( 
% 1.18/1.59    'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), 
% 1.18/1.59    'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Oplus__class_Oplus'( Y, X, 
% 1.18/1.59    'tc_nat' ), 'tc_nat' ) ],
% 1.18/1.59     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), X ) ), hBOOL( 
% 1.18/1.59    hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( 'c_Suc', X ) ) ) ]
% 1.18/1.59    ,
% 1.18/1.59     [ ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ) ), ~( 
% 1.18/1.59    hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), hAPP( 'c_Suc', X )
% 1.18/1.59     ) ) ) ],
% 1.18/1.59     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( 'c_Suc', 
% 1.18/1.59    Y ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), X ) ) ]
% 1.18/1.59    ,
% 1.18/1.59     [ =( X, hAPP( 'c_Suc', Y ) ), hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' )
% 1.18/1.59    , Y ) ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), hAPP( 'c_Suc', Y
% 1.18/1.59     ) ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), 
% 1.18/1.59    hAPP( 'c_Power_Opower__class_Opower'( Y, X ), Z ) ), X ), hAPP( 
% 1.18/1.59    'c_Power_Opower__class_Opower'( Y, X ), Z ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ), 
% 1.18/1.59    ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.18/1.59     ), X ), Y ) ) ) ],
% 1.18/1.59     [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ominus__class_Ominus'( X, Y
% 1.18/1.59    , 'tc_nat' ), 'tc_nat' ), Y ), ~( hBOOL( hAPP( 'c_lessequals'( Y, 
% 1.18/1.59    'tc_nat' ), X ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), 
% 1.18/1.59    hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.18/1.59    X ), Y ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( Y, X ), Z ), X ), hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( Y, X ), T ) ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Z, X ), Y ) ), ~( hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Otimes__class_Otimes'( T, X ), Z
% 1.18/1.59     ), X ), hAPP( 'c_HOL_Otimes__class_Otimes'( T, X ), Y ) ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), 
% 1.18/1.59    hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.18/1.59    X ), Y ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( Z, X ), Y ), X ), hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( T, X ), Y ) ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Z, X ), Y ) ), ~( hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Otimes__class_Otimes'( Z, X ), T
% 1.18/1.59     ), X ), hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), T ) ) ) ) ],
% 1.18/1.59     [ =( 'c_nat_Onat__size'( hAPP( 'c_Suc', X ) ), 
% 1.18/1.59    'c_HOL_Oplus__class_Oplus'( 'c_nat_Onat__size'( X ), hAPP( 'c_Suc', 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.18/1.59    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.18/1.59    , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.18/1.59    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.18/1.59    , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.59    X ), X ), Y ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.18/1.59    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.18/1.59    , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.59    X ), X ), Y ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.18/1.59    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.18/1.59    , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ), ~( 
% 1.18/1.59    hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X
% 1.18/1.59     ), hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Y ) ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.18/1.59    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'( Z, 
% 1.18/1.59    T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~( 
% 1.18/1.59    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.18/1.59    'c_HOL_Oplus__class_Oplus'( hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), 
% 1.18/1.59    Y ), hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Z ), X ), hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.59    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), hAPP( 
% 1.18/1.59    'c_HOL_Oinverse__class_Oinverse'( X ), Y ) ), X ), hAPP( 
% 1.18/1.59    'c_HOL_Oinverse__class_Oinverse'( X ), Z ) ) ), =( Z, 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.18/1.59     ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( 
% 1.18/1.59    'c_HOL_Oplus__class_Oplus'( hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), 
% 1.18/1.59    Y ), hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Z ), X ), hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( hAPP( 'c_HOL_Otimes__class_Otimes'( hAPP( 
% 1.18/1.59    'c_HOL_Oinverse__class_Oinverse'( X ), Y ), X ), 
% 1.18/1.59    'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ), X ), hAPP( 
% 1.18/1.59    'c_HOL_Oinverse__class_Oinverse'( X ), Z ) ) ), =( Z, 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.18/1.59     ) ],
% 1.18/1.59     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( Y, X ), 'c_Series_Osuminf'( Z, X ) ), 
% 1.18/1.59    'c_Series_Osuminf'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( Y, X ), Z, X
% 1.18/1.59    , X, 'tc_nat' ), X ) ), ~( 'c_Series_Osummable'( Z, X ) ) ],
% 1.18/1.59     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 1.18/1.59    'c_Series_Osuminf'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( Y, X ), Z, X
% 1.18/1.59    , X, 'tc_nat' ), X ), hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), 
% 1.18/1.59    'c_Series_Osuminf'( Z, X ) ) ), ~( 'c_Series_Osummable'( Z, X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( 
% 1.18/1.59    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( 
% 1.18/1.59    'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ), X
% 1.18/1.59     ), Z ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ) ]
% 1.18/1.59    ,
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Oinverse__class_Odivide'( 
% 1.18/1.59    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( 
% 1.18/1.59    'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ) )
% 1.18/1.59     ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.18/1.59    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.18/1.59    , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, 
% 1.18/1.59    hAPP( 'c_HOL_Otimes__class_Otimes'( T, X ), Z ), X ), Z, X ) ), =( Z, 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.18/1.59    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.18/1.59    , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Z, 
% 1.18/1.59    hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), T ), X ), T, X ) ), =( T, 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.18/1.59    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 1.18/1.59    'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'( 
% 1.18/1.59    'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, U, 
% 1.18/1.59    X ), X ) ) ],
% 1.18/1.59     [ =( 'c_HOL_Ominus__class_Ominus'( X, hAPP( 'c_Suc', Y ), 'tc_nat' ), 
% 1.18/1.59    'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, 
% 1.18/1.59    'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 1.18/1.59     [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( hAPP( 
% 1.18/1.59    'c_Suc', X ), Y, 'tc_nat' ), hAPP( 'c_Suc', Z ), 'tc_nat' ), 
% 1.18/1.59    'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y, 
% 1.18/1.59    'tc_nat' ), Z, 'tc_nat' ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 1.18/1.59     ), 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.18/1.59    , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 1.18/1.59     ), 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.18/1.59    , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ), Y ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP( 
% 1.18/1.59    'c_HOL_Oabs__class_Oabs'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X
% 1.18/1.59     ) ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.18/1.59    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.18/1.59    , ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.18/1.59     ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.18/1.59    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.18/1.59    , ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.18/1.59     ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), Z ), X ), Z )
% 1.18/1.59     ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.18/1.59     ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.18/1.59    X ), Y ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.59    X ), X ), Z ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), Z ), X ), Y )
% 1.18/1.59     ), ~( hBOOL( hAPP( 'c_lessequals'( Z, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.18/1.59     ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.18/1.59    X ), Z ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.59    X ), X ), Y ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.18/1.59    'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y
% 1.18/1.59     ) ],
% 1.18/1.59     [ 'c_Finite__Set_Ofinite'( 'c_SetInterval_Oord__class_OlessThan'( X, 
% 1.18/1.59    'tc_nat' ), 'tc_nat' ) ],
% 1.18/1.59     [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 
% 1.18/1.59    'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ) ) ), =( X, Z ) ],
% 1.18/1.59     [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 
% 1.18/1.59    'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ) ) ), =( Y, Z ) ],
% 1.18/1.59     [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 
% 1.18/1.59    'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ) ) ), =( Y, Z ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 1.18/1.59    X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 1.18/1.59    'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =( 
% 1.18/1.59    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T, 
% 1.18/1.59    X ) ) ), =( Z, T ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( 
% 1.18/1.59    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T, 
% 1.18/1.59    X ) ) ), =( Z, T ) ],
% 1.18/1.59     [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( 
% 1.18/1.59    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, Z, 
% 1.18/1.59    X ) ) ), =( Y, T ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( hBOOL( 
% 1.18/1.59    hAPP( 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X
% 1.18/1.59     ), Y ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), Z ), X ), 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, X
% 1.18/1.59     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), Z ), X ), 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( Y, X ), Z ), T, X ), X ), 
% 1.18/1.59    'c_HOL_Oplus__class_Oplus'( hAPP( 'c_HOL_Otimes__class_Otimes'( U, X ), Z
% 1.18/1.59     ), W, X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( T, X ), 
% 1.18/1.59    'c_HOL_Oplus__class_Oplus'( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.59    'c_HOL_Ominus__class_Ominus'( U, Y, X ), X ), Z ), W, X ) ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( Y, X ), 'c_HOL_Oplus__class_Oplus'( hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Z, T, X ), X
% 1.18/1.59     ), U ), W, X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( 
% 1.18/1.59    'c_HOL_Oplus__class_Oplus'( hAPP( 'c_HOL_Otimes__class_Otimes'( T, X ), U
% 1.18/1.59     ), Y, X ), X ), 'c_HOL_Oplus__class_Oplus'( hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( Z, X ), U ), W, X ) ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( Y, X ), Z ), T, X ), X ), 
% 1.18/1.59    'c_HOL_Oplus__class_Oplus'( hAPP( 'c_HOL_Otimes__class_Otimes'( U, X ), Z
% 1.18/1.59     ), W, X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( 
% 1.18/1.59    'c_HOL_Oplus__class_Oplus'( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.59    'c_HOL_Ominus__class_Ominus'( Y, U, X ), X ), Z ), T, X ), X ), W ) ) ) ]
% 1.18/1.59    ,
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X
% 1.18/1.59     ), T ), U, X ), X ), W ) ), ~( hBOOL( hAPP( 'c_lessequals'( 
% 1.18/1.59    'c_HOL_Oplus__class_Oplus'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), T
% 1.18/1.59     ), U, X ), X ), 'c_HOL_Oplus__class_Oplus'( hAPP( 
% 1.18/1.59    'c_HOL_Otimes__class_Otimes'( Z, X ), T ), W, X ) ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.18/1.59     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.59    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.18/1.59    'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, X
% 1.18/1.59     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( 
% 1.18/1.59    'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ],
% 1.18/1.59     [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( 'c_Suc', X ), 
% 1.18/1.59    'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ), X ) ],
% 1.18/1.59     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), 
% 1.18/1.59    'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ) ) ],
% 1.18/1.59     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), 
% 1.18/1.59    'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Z ) ) ) ],
% 1.18/1.59     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), ~( hBOOL( 
% 1.18/1.59    hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Z, 
% 1.18/1.59    'tc_nat' ), 'tc_nat' ), Y ) ) ) ],
% 1.18/1.59     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), 
% 1.18/1.59    'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ) ) ],
% 1.18/1.59     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), 
% 1.18/1.59    'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.59    'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Z ) ) ) ],
% 1.18/1.59     [ hBOOL( hAPP( 'c_lessequals'( hAPP( 'c_Suc', X ), 'tc_nat' ), Y ) ), 
% 1.18/1.59    ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ) ) ],
% 1.18/1.59     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), ~( hBOOL( 
% 1.18/1.59    hAPP( 'c_lessequals'( hAPP( 'c_Suc', X ), 'tc_nat' ), Y ) ) ) ],
% 1.18/1.59     [ hBOOL( hAPP( 'c_lessequals'( hAPP( 'c_Suc', X ), 'tc_nat' ), Y ) ), 
% 1.18/1.59    ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ) ) ],
% 1.18/1.59     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), ~( hBOOL( 
% 1.18/1.59    hAPP( 'c_lessequals'( hAPP( 'c_Suc', X ), 'tc_nat' ), Y ) ) ) ],
% 1.18/1.60     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.18/1.60    , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_lessequals'( Y, X ), 'c_HOL_Oplus__class_Oplus'( Z, T, X ) ) ), ~( 
% 1.18/1.60    hBOOL( hAPP( 'c_lessequals'( Y, X ), Z ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ) ],
% 1.18/1.60     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.18/1.60    , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_lessequals'( Y, X ), 'c_HOL_Oplus__class_Oplus'( Z, T, X ) ) ), ~( 
% 1.18/1.60    hBOOL( hAPP( 'c_lessequals'( Y, X ), T ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ) ],
% 1.18/1.60     [ ~( 'class_HOL_Oord'( X ) ), 'c_in'( Y, 
% 1.18/1.60    'c_SetInterval_Oord__class_OlessThan'( Z, X ), X ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ) ],
% 1.18/1.60     [ ~( 'class_HOL_Oord'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y
% 1.18/1.60    , X ), Z ) ), ~( 'c_in'( Y, 'c_SetInterval_Oord__class_OlessThan'( Z, X )
% 1.18/1.60    , X ) ) ],
% 1.18/1.60     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP( 
% 1.18/1.60    'c_HOL_Oabs__class_Oabs'( X ), hAPP( 'c_Finite__Set_Osetsum'( 'c_COMBB'( 
% 1.18/1.60    'c_HOL_Oabs__class_Oabs'( X ), Y, X, X, Z ), Z, X ), T ) ), hAPP( 
% 1.18/1.60    'c_Finite__Set_Osetsum'( 'c_COMBB'( 'c_HOL_Oabs__class_Oabs'( X ), Y, X, 
% 1.18/1.60    X, Z ), Z, X ), T ) ) ],
% 1.18/1.60     [ ~( 'class_Orderings_Obot'( X ) ), hBOOL( hAPP( 'c_lessequals'( 
% 1.18/1.60    'c_Orderings_Obot__class_Obot'( X ), X ), Y ) ) ],
% 1.18/1.60     [ hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y, 
% 1.18/1.60    'tc_nat' ), 'tc_nat' ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( X, 
% 1.18/1.60    'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ) ) ) ), ~( 
% 1.18/1.60    hBOOL( hAPP( 'c_lessequals'( Y, 'tc_nat' ), Z ) ) ) ],
% 1.18/1.60     [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), 
% 1.18/1.60    'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), 'tc_nat' )
% 1.18/1.60    , Y ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, 'tc_nat' ), Y ) ) ) ],
% 1.18/1.60     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( 'c_Suc', 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ) ) ],
% 1.18/1.60     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( 'c_Suc', 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_nat' ) ) ) ) ],
% 1.18/1.60     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( 'c_Suc', 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ) ) ],
% 1.18/1.60     [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Z, 'tc_nat' ), 
% 1.18/1.60    'c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1'( X ) ) ) ), ~( hBOOL( 
% 1.18/1.60    hAPP( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 1.18/1.60     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( 
% 1.18/1.60    hAPP( 'c_HOL_Otimes__class_Otimes'( X, 'tc_nat' ), Y ), Z, 'tc_nat' ), 
% 1.18/1.60    'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( T, 'tc_nat' ), Y ), U, 'tc_nat' ) ) ), ~( 
% 1.18/1.60    hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, 'tc_nat' ), 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.60    'c_HOL_Ominus__class_Ominus'( T, X, 'tc_nat' ), 'tc_nat' ), Y ), U, 
% 1.18/1.60    'tc_nat' ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), T ) ) )
% 1.18/1.60     ],
% 1.18/1.60     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.60    'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ), 'tc_nat' ), T ), U, 
% 1.18/1.60    'tc_nat' ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( hAPP( 'c_HOL_Otimes__class_Otimes'( Z, 
% 1.18/1.60    'tc_nat' ), T ), X, 'tc_nat' ), 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( 
% 1.18/1.60    hAPP( 'c_HOL_Otimes__class_Otimes'( Y, 'tc_nat' ), T ), U, 'tc_nat' ) ) )
% 1.18/1.60     ), ~( hBOOL( hAPP( 'c_lessequals'( Z, 'tc_nat' ), Y ) ) ) ],
% 1.18/1.60     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( 
% 1.18/1.60    hAPP( 'c_HOL_Otimes__class_Otimes'( X, 'tc_nat' ), Y ), Z, 'tc_nat' ), 
% 1.18/1.60    'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( T, 'tc_nat' ), Y ), U, 'tc_nat' ) ) ), ~( 
% 1.18/1.60    hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( X, T, 
% 1.18/1.60    'tc_nat' ), 'tc_nat' ), Y ), Z, 'tc_nat' ), 'tc_nat' ), U ) ) ), ~( hBOOL( 
% 1.18/1.60    hAPP( 'c_lessequals'( T, 'tc_nat' ), X ) ) ) ],
% 1.18/1.60     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( 
% 1.18/1.60    hAPP( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( X, Y, 
% 1.18/1.60    'tc_nat' ), 'tc_nat' ), Z ), T, 'tc_nat' ), 'tc_nat' ), U ) ), ~( hBOOL( 
% 1.18/1.60    hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X, 'tc_nat' ), Z ), T, 'tc_nat' ), 'tc_nat'
% 1.18/1.60     ), 'c_HOL_Oplus__class_Oplus'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, 
% 1.18/1.60    'tc_nat' ), Z ), U, 'tc_nat' ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, 
% 1.18/1.60    'tc_nat' ), X ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), Z
% 1.18/1.60     ), 'c_HOL_Oplus__class_Oplus'( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.60    'c_HOL_Ominus__class_Ominus'( T, Y, X ), X ), Z ), U, X ), X ), 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( hAPP( 'c_HOL_Otimes__class_Otimes'( T, X ), Z
% 1.18/1.60     ), U, X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_lessequals'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( Y, X ), Z ) ), X ), hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ), X
% 1.18/1.60     ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Z ) ) ) ) ],
% 1.18/1.60     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), hBOOL( 
% 1.18/1.60    hAPP( 'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP( 
% 1.18/1.60    'c_HOL_Oabs__class_Oabs'( X ), Y ), X ), Z ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL( 
% 1.18/1.60    hAPP( 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X
% 1.18/1.60     ), Z ), X ), hAPP( 'c_HOL_Otimes__class_Otimes'( T, X ), U ) ) ), ~( 
% 1.18/1.60    hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) )
% 1.18/1.60     ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.60    X ), X ), T ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), U )
% 1.18/1.60     ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Oinverse'( X ), Y ), 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) )
% 1.18/1.60     ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber__ring'( X ) ), =( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Oinverse'( X ), Y ), 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) )
% 1.18/1.60     ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.18/1.60    , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( T, X )
% 1.18/1.60    , X ), Z ), X ), Y ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.18/1.60    , X ), Z ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X )
% 1.18/1.60    , 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ), 
% 1.18/1.60    ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X
% 1.18/1.60     ), 'c_HOL_Oinverse__class_Odivide'( Z, 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.18/1.60    , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( Y, X ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.18/1.60    T, X ) ) ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( Y, X ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.18/1.60    T, X ) ), X ), Z ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.18/1.60    , X ), X ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Otimes__class_Otimes'( T, X ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ), Y ) ) ), ~( hBOOL( 
% 1.18/1.60    hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( T, X ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.18/1.60    Z, X ) ) ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.18/1.60    , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( T, X )
% 1.18/1.60    , X ), Z ), X ), Y ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X
% 1.18/1.60     ), hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z ) ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( Z, X ), T ) ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( 
% 1.18/1.60    hAPP( 'c_lessequals'( Z, X ), T ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( Z, X ), T ) ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ), ~( hBOOL( 
% 1.18/1.60    hAPP( 'c_lessequals'( T, X ), Z ) ) ) ],
% 1.18/1.60     [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( 'c_Suc', 
% 1.18/1.60    'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ) ), Z, 'tc_nat' ), 
% 1.18/1.60    'c_HOL_Ominus__class_Ominus'( hAPP( 'c_Suc', X ), 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ), ~( hBOOL( 
% 1.18/1.60    hAPP( 'c_lessequals'( Y, 'tc_nat' ), X ) ) ) ],
% 1.18/1.60     [ =( 'c_Nat_Onat_Onat__case'( X, Y, Z, T ), hAPP( Y, 
% 1.18/1.60    'c_HOL_Ominus__class_Ominus'( Z, 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 
% 1.18/1.60    'tc_nat' ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.18/1.60     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.18/1.60     ) ],
% 1.18/1.60     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), X ), Y ), Y
% 1.18/1.60     ) ],
% 1.18/1.60     [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), X ), Y ), Y
% 1.18/1.60     ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), X ), Y ), Y
% 1.18/1.60     ) ],
% 1.18/1.60     [ =( hAPP( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( 
% 1.18/1.60    'tc_nat' ), 'tc_nat' ), X ), X ) ],
% 1.18/1.60     [ =( hAPP( 'c_HOL_Otimes__class_Otimes'( X, 'tc_nat' ), 
% 1.18/1.60    'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), X ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.18/1.60     ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), X ), Y ), Y
% 1.18/1.60     ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.18/1.60    'c_Ring__and__Field_Odvd__class_Odvd'( Y, hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( Z, X ), Y ), X ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.18/1.60    'c_Ring__and__Field_Odvd__class_Odvd'( Y, hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( Y, X ), Z ), X ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Odvd'( X ) ), 
% 1.18/1.60    'c_Ring__and__Field_Odvd__class_Odvd'( Y, hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( Y, X ), Z ), X ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 1.18/1.60     ), 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( U, X ), Z ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), U ) ) )
% 1.18/1.60    , ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), T ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) )
% 1.18/1.60     ],
% 1.18/1.60     [ =( 'c_HOL_Oplus__class_Oplus'( hAPP( 'c_Suc', 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.60    'tc_nat' ), 'tc_nat' ), hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.60    'tc_nat' ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), hAPP( 
% 1.18/1.60    'c_Power_Opower__class_Opower'( Y, X ), Z ), X ), hAPP( 
% 1.18/1.60    'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( 
% 1.18/1.60    'c_HOL_Oone__class_Oone'( X ), Y, X ), X ), Z ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_lessequals'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ), 
% 1.18/1.60    'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_lessequals'( Y, 'tc_nat' ), Z ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_lessequals'( Y, 'tc_nat' ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( 
% 1.18/1.60    'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ), 
% 1.18/1.60    'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ) ) ],
% 1.18/1.60     [ =( hAPP( 'c_Suc', X ), 'c_HOL_Oplus__class_Oplus'( 
% 1.18/1.60    'c_HOL_Oone__class_Oone'( 'tc_nat' ), X, 'tc_nat' ) ) ],
% 1.18/1.60     [ =( hAPP( 'c_Suc', X ), 'c_HOL_Oplus__class_Oplus'( X, 
% 1.18/1.60    'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ) ) ],
% 1.18/1.60     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), hBOOL( 
% 1.18/1.60    hAPP( 'c_lessequals'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( 
% 1.18/1.60    'c_Finite__Set_Osetsum'( Y, Z, X ), T ) ), X ), hAPP( 
% 1.18/1.60    'c_Finite__Set_Osetsum'( 'c_COMBB'( 'c_HOL_Oabs__class_Oabs'( X ), Y, X, 
% 1.18/1.60    X, Z ), Z, X ), T ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 1.18/1.60    X ) ), =( 'c_HOL_Oplus__class_Oplus'( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.60    Y, X ), Z ), hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), T ), X ), 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), T
% 1.18/1.60     ), hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), Z ), X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 1.18/1.60    X ) ), =( 'c_HOL_Oplus__class_Oplus'( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.60    Y, X ), Z ), hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), T ), X ), 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), T
% 1.18/1.60     ), hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), Z ), X ) ) ],
% 1.18/1.60     [ =( 'c_HOL_Oplus__class_Oplus'( hAPP( 'c_HOL_Otimes__class_Otimes'( X, 
% 1.18/1.60    'tc_nat' ), Y ), hAPP( 'c_HOL_Otimes__class_Otimes'( X, 'tc_nat' ), Z ), 
% 1.18/1.60    'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X, 'tc_nat' ), Z ), hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X, 'tc_nat' ), Y ), 'tc_nat' ) ) ],
% 1.18/1.60     [ =( 'c_HOL_Oplus__class_Oplus'( hAPP( 'c_HOL_Otimes__class_Otimes'( X, 
% 1.18/1.60    'tc_nat' ), Y ), hAPP( 'c_HOL_Otimes__class_Otimes'( X, 'tc_nat' ), Z ), 
% 1.18/1.60    'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X, 'tc_nat' ), Z ), hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X, 'tc_nat' ), Y ), 'tc_nat' ) ) ],
% 1.18/1.60     [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( 'c_Suc', 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ) ],
% 1.18/1.60     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), hBOOL( 
% 1.18/1.60    hAPP( 'c_lessequals'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), 
% 1.18/1.60    'c_HOL_Ominus__class_Ominus'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ), 
% 1.18/1.60    hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Z ), X ) ), X ), hAPP( 
% 1.18/1.60    'c_HOL_Oabs__class_Oabs'( X ), 'c_HOL_Ominus__class_Ominus'( Y, Z, X ) )
% 1.18/1.60     ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Otimes__class_Otimes'( hAPP( 
% 1.18/1.60    'c_HOL_Oabs__class_Oabs'( X ), Y ), X ), hAPP( 'c_HOL_Oabs__class_Oabs'( 
% 1.18/1.60    X ), Z ) ), X ), hAPP( 'c_HOL_Otimes__class_Otimes'( T, X ), U ) ) ), ~( 
% 1.18/1.60    hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Oabs__class_Oabs'( X
% 1.18/1.60     ), Z ), X ), U ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( 
% 1.18/1.60    'c_HOL_Oabs__class_Oabs'( X ), Y ), X ), T ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X
% 1.18/1.60     ), 'c_HOL_Oinverse__class_Odivide'( Z, 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.18/1.60    , hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), Z ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.18/1.60    , X ), X ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ), X
% 1.18/1.60     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Y, X ), hAPP( 'c_HOL_Otimes__class_Otimes'( T
% 1.18/1.60    , X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ) ) ) ],
% 1.18/1.60     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), Z, X
% 1.18/1.60     ), Y ) ],
% 1.18/1.60     [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_SEQ_OLIMSEQ'( 
% 1.18/1.60    'c_COMBB'( Y, 'c_Suc', 'tc_nat', X, 'tc_nat' ), Z, X ), ~( 
% 1.18/1.60    'c_SEQ_OLIMSEQ'( Y, Z, X ) ) ],
% 1.18/1.60     [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_SEQ_OLIMSEQ'( Y, Z, X
% 1.18/1.60     ), ~( 'c_SEQ_OLIMSEQ'( 'c_COMBB'( Y, 'c_Suc', 'tc_nat', X, 'tc_nat' ), Z
% 1.18/1.60    , X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Oinverse'( X ), hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Oinverse'( X ), Y ) ), Y ) ],
% 1.18/1.60     [ hBOOL( hAPP( 'c_lessequals'( hAPP( 'c_HOL_Otimes__class_Otimes'( X, 
% 1.18/1.60    'tc_nat' ), Y ), 'tc_nat' ), hAPP( 'c_HOL_Otimes__class_Otimes'( X, 
% 1.18/1.60    'tc_nat' ), Z ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), X ) ) ],
% 1.18/1.60     [ hBOOL( hAPP( 'c_lessequals'( hAPP( 'c_HOL_Otimes__class_Otimes'( X, 
% 1.18/1.60    'tc_nat' ), Y ), 'tc_nat' ), hAPP( 'c_HOL_Otimes__class_Otimes'( Z, 
% 1.18/1.60    'tc_nat' ), Y ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), Y ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X
% 1.18/1.60     ), 'c_HOL_Oinverse__class_Odivide'( Z, 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ), X
% 1.18/1.60     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Z, X ), hAPP( 'c_HOL_Otimes__class_Otimes'( Y
% 1.18/1.60    , X ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), Z ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.18/1.60    , X ), X ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Otimes__class_Otimes'( T, X ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ), Y ) ) ), ~( hBOOL( 
% 1.18/1.60    hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( T, X ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.18/1.60    Z, X ) ) ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( 
% 1.18/1.60    'c_Power_Opower__class_Opower'( Y, X ), hAPP( 'c_Suc', Z ) ), hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( Y, X ), hAPP( 
% 1.18/1.60    'c_Power_Opower__class_Opower'( Y, X ), Z ) ) ) ],
% 1.18/1.60     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( 
% 1.18/1.60    'c_Power_Opower__class_Opower'( Y, X ), hAPP( 'c_Suc', Z ) ), hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( hAPP( 'c_Power_Opower__class_Opower'( Y, X
% 1.18/1.60     ), Z ), X ), Y ) ) ],
% 1.18/1.60     [ ~( 'class_Power_Opower'( X ) ), =( hAPP( 
% 1.18/1.60    'c_Power_Opower__class_Opower'( Y, X ), hAPP( 'c_Suc', Z ) ), hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( Y, X ), hAPP( 
% 1.18/1.60    'c_Power_Opower__class_Opower'( Y, X ), Z ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( 
% 1.18/1.60    'c_Power_Opower__class_Opower'( Y, X ), hAPP( 'c_Suc', Z ) ), hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( Y, X ), hAPP( 
% 1.18/1.60    'c_Power_Opower__class_Opower'( Y, X ), Z ) ) ) ],
% 1.18/1.60     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( hBOOL( 
% 1.18/1.60    hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.18/1.60     ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.18/1.60    ,
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( Y, X ), Z ), hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( Z, X ), Y ) ) ],
% 1.18/1.60     [ =( hAPP( 'c_HOL_Otimes__class_Otimes'( X, 'tc_nat' ), Y ), hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( Y, 'tc_nat' ), X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( Y, X ), Z ), hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( Z, X ), Y ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.18/1.60    , X ), Z ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X )
% 1.18/1.60    , 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ), 
% 1.18/1.60    ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X
% 1.18/1.60     ), X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.18/1.60    , ~( hBOOL( hAPP( 'c_lessequals'( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z ), X ), Y ) ) ), hBOOL( 
% 1.18/1.60    hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z
% 1.18/1.60     ) ) ],
% 1.18/1.60     [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( T, X ), Z ) ) ) ],
% 1.18/1.60     [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( T, X ), Z ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( hAPP( 'c_Power_Opower__class_Opower'( Y, X ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), X ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.18/1.60    , 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( 
% 1.18/1.60    Z, 'tc_nat' ), 'tc_nat' ) ],
% 1.18/1.60     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.18/1.60    , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 1.18/1.60     ) ) ],
% 1.18/1.60     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.18/1.60    , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.18/1.60     ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.18/1.60    , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.18/1.60     ) ) ],
% 1.18/1.60     [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( X, Y, 
% 1.18/1.60    'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( X, 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), hBOOL( 
% 1.18/1.60    hAPP( 'c_lessequals'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), Z ), X
% 1.18/1.60     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( 
% 1.18/1.60    Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), hBOOL( 
% 1.18/1.60    hAPP( 'c_lessequals'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), Z ), X
% 1.18/1.60     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), hBOOL( 
% 1.18/1.60    hAPP( 'c_lessequals'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), Z ), X
% 1.18/1.60     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( 
% 1.18/1.60    Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), hBOOL( 
% 1.18/1.60    hAPP( 'c_lessequals'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), Z ), X
% 1.18/1.60     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), hBOOL( 
% 1.18/1.60    hAPP( 'c_lessequals'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), Z ), X
% 1.18/1.60     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( 
% 1.18/1.60    Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Oinverse'( X ), hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.60    Y, X ), Z ) ), hAPP( 'c_HOL_Otimes__class_Otimes'( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Oinverse'( X ), Y ), X ), hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Oinverse'( X ), Z ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Oinverse'( X ), hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.60    Y, X ), Z ) ), hAPP( 'c_HOL_Otimes__class_Otimes'( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Oinverse'( X ), Z ), X ), hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Oinverse'( X ), Y ) ) ), =( Z, 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.18/1.60     ) ],
% 1.18/1.60     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), hBOOL( 
% 1.18/1.60    hAPP( 'c_lessequals'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ), X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.18/1.60     ) ],
% 1.18/1.60     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL( 
% 1.18/1.60    hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.18/1.60    , ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.18/1.60     ) ) ) ],
% 1.18/1.60     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL( 
% 1.18/1.60    hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) )
% 1.18/1.60     ],
% 1.18/1.60     [ =( 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ), hAPP( 'c_Suc', 
% 1.18/1.60    'c_HOL_Ominus__class_Ominus'( 'c_Int_Onumber__class_Onumber__of'( X, 
% 1.18/1.60    'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ) ) ), ~( 
% 1.18/1.60    hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.60    'tc_nat' ), 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' )
% 1.18/1.60     ) ) ) ],
% 1.18/1.60     [ ~( hBOOL( hAPP( X, 'c_Nat_Onat_Onat__case'( Y, Z, hAPP( 'c_Suc', T ), 
% 1.18/1.60    't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( Z, T ) ) ) ],
% 1.18/1.60     [ ~( hBOOL( hAPP( X, 'c_Nat_Onat_Onat__case'( Y, Z, hAPP( 'c_Suc', T ), 
% 1.18/1.60    't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( Z, T ) ) ) ],
% 1.18/1.60     [ ~( hBOOL( hAPP( X, Y ) ) ), ~( 'c_in'( Y, 
% 1.18/1.60    'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 
% 1.18/1.60    X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), Z ), Z, X ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X
% 1.18/1.60     ), hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), T ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) )
% 1.18/1.60    , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.18/1.60    , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( T, X )
% 1.18/1.60    , X ), Z ) ) ) ) ],
% 1.18/1.60     [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( X, Y, 
% 1.18/1.60    'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ), 'tc_nat' ), 
% 1.18/1.60    'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ) ) ],
% 1.18/1.60     [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( X, Y, 
% 1.18/1.60    'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), 'tc_nat' ), 
% 1.18/1.60    'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.18/1.60    , X ), X ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( 
% 1.18/1.60    hAPP( 'c_HOL_Otimes__class_Otimes'( T, X ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ), Y ) ) ), ~( hBOOL( 
% 1.18/1.60    hAPP( 'c_lessequals'( Y, X ), hAPP( 'c_HOL_Otimes__class_Otimes'( T, X )
% 1.18/1.60    , 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X ), 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.18/1.60    , X ), X ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z
% 1.18/1.60    , X ), hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_lessequals'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), Z ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), T ) ), 
% 1.18/1.60    ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T )
% 1.18/1.60     ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.60    T, X ), Z ), X ), Y ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), T ) ), 
% 1.18/1.60    ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T )
% 1.18/1.60     ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X
% 1.18/1.60     ), hAPP( 'c_HOL_Otimes__class_Otimes'( T, X ), Z ) ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_lessequals'( Y, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ), 
% 1.18/1.60    ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.18/1.60     ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, X ), hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( Y, X ), T ) ) ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ]
% 1.18/1.60    ,
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_lessequals'( Y, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ), 
% 1.18/1.60    ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.18/1.60     ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( Y, X ), T ), X ), Z ) ) ) ],
% 1.18/1.60     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( Y, X ), hAPP( 'c_Finite__Set_Osetsum'( Z, T
% 1.18/1.60    , X ), U ) ), hAPP( 'c_Finite__Set_Osetsum'( 'c_COMBB'( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( Y, X ), Z, X, X, T ), T, X ), U ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), =( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( Y, X ), hAPP( 'c_Finite__Set_Osetsum'( Z, T
% 1.18/1.60    , X ), U ) ), hAPP( 'c_Finite__Set_Osetsum'( 'c_COMBB'( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( Y, X ), Z, X, X, T ), T, X ), U ) ) ],
% 1.18/1.60     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ), hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X, 'tc_nat' ), Y ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.60    'tc_nat' ) ), 'tc_nat' ), X ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.60    'tc_nat' ) ), 'tc_nat' ), Y ) ) ) ],
% 1.18/1.60     [ =( 'c_HOL_Oplus__class_Oplus'( hAPP( 'c_Suc', X ), Y, 'tc_nat' ), 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( X, hAPP( 'c_Suc', Y ), 'tc_nat' ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =( 
% 1.18/1.60    'c_Nat_Osemiring__1__class_Oof__nat'( hAPP( 'c_Suc', Y ), X ), 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ), 
% 1.18/1.60    'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ) ) ],
% 1.18/1.60     [ ~( =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( Y, hAPP( 'c_Suc', 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y, 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.18/1.60     [ ~( =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( X, 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, hAPP( 'c_Suc', 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =( 
% 1.18/1.60    'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Oone__class_Oone'( 'tc_nat'
% 1.18/1.60     ), X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.18/1.60     [ ~( 'class_RealVector_Ometric__space'( X ) ), =( 'c_SEQ_Olim'( Y, X ), 
% 1.18/1.60    Z ), ~( 'c_SEQ_OLIMSEQ'( Y, Z, X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_lessequals'( hAPP( 'c_Power_Opower__class_Opower'( Y, X ), Z ), X ), 
% 1.18/1.60    hAPP( 'c_Power_Opower__class_Opower'( Y, X ), T ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), X ), Y ) ) ), ~( hBOOL( 
% 1.18/1.60    hAPP( 'c_lessequals'( Z, 'tc_nat' ), T ) ) ) ],
% 1.18/1.60     [ =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( 
% 1.18/1.60    'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( Y, X ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.18/1.60    Z, X ) ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ), Y ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.18/1.60    , X ), X ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Otimes__class_Otimes'( T, X ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ), Y ) ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X
% 1.18/1.60     ), hAPP( 'c_HOL_Otimes__class_Otimes'( Z, X ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ), X
% 1.18/1.60     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Oinverse__class_Odivide'( Y, 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X
% 1.18/1.60     ), 'c_HOL_Oinverse__class_Odivide'( Z, 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ), X
% 1.18/1.60     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Z, X ), hAPP( 'c_HOL_Otimes__class_Otimes'( Y
% 1.18/1.60    , X ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =( hAPP( 
% 1.18/1.60    'c_HOL_Oabs__class_Oabs'( X ), hAPP( 'c_HOL_Oinverse__class_Oinverse'( X
% 1.18/1.60     ), Y ) ), hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), hAPP( 
% 1.18/1.60    'c_HOL_Oabs__class_Oabs'( X ), Y ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.60    X ) ) ],
% 1.18/1.60     [ 'c_in'( X, Y, Z ), ~( hBOOL( hAPP( Y, X ) ) ) ],
% 1.18/1.60     [ hBOOL( hAPP( X, Y ) ), ~( 'c_in'( Y, X, Z ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =( hAPP( 
% 1.18/1.60    'c_HOL_Oabs__class_Oabs'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.18/1.60     ), 'c_HOL_Oinverse__class_Odivide'( hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.18/1.60    , Y ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Z ), X ) ), =( Z, 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), 
% 1.18/1.60    =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Oinverse'( X ), Y ) ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ), X
% 1.18/1.60     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ), Y ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.18/1.60    , X ), X ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ), X
% 1.18/1.60     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X
% 1.18/1.60     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ), X
% 1.18/1.60     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Oinverse__class_Odivide'( T, 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X
% 1.18/1.60     ), 'c_HOL_Oinverse__class_Odivide'( Z, 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.18/1.60    , hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( 
% 1.18/1.60    'c_Power_Opower__class_Opower'( Y, X ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ) ) ), ~( 
% 1.18/1.60    'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.18/1.60    , 'tc_nat' ), 'tc_nat' ) ) ],
% 1.18/1.60     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.18/1.60    , 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ), =( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( Y, T, X ), U ) ],
% 1.18/1.60     [ hBOOL( hAPP( 'c_lessequals'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.60    'tc_nat' ) ), 'tc_nat' ), X ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP( 
% 1.18/1.60    'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ), hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( Y, 'tc_nat' ), X ) ) ) ) ],
% 1.18/1.60     [ hBOOL( hAPP( 'c_lessequals'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.60    'tc_nat' ) ), 'tc_nat' ), X ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP( 
% 1.18/1.60    'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ), hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X, 'tc_nat' ), Y ) ) ) ) ],
% 1.18/1.60     [ =( hAPP( 'c_HOL_Otimes__class_Otimes'( X, 'tc_nat' ), Y ), 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( Y, hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.60    'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 
% 1.18/1.60    'tc_nat' ), 'tc_nat' ), Y ), 'tc_nat' ) ), =( X, 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( hAPP( 'c_Power_Opower__class_Opower'( Y, X ), 
% 1.18/1.60    hAPP( 'c_Suc', Z ) ), X ), 'c_HOL_Oone__class_Oone'( X ) ) ), ~( hBOOL( 
% 1.18/1.60    hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 1.18/1.60     ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.18/1.60    , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Oinverse'( X ), Z ), X ), hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Oinverse'( X ), Y ) ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Y
% 1.18/1.60     ), X ), hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Z ) ) ), ~( hBOOL( 
% 1.18/1.60    hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z
% 1.18/1.60     ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.18/1.60    , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Oinverse'( X ), Z ), X ), hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Oinverse'( X ), Y ) ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Y
% 1.18/1.60     ), X ), hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Z ) ) ), ~( hBOOL( 
% 1.18/1.60    hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.18/1.60     ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ) ) ],
% 1.18/1.60     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL( 
% 1.18/1.60    hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ],
% 1.18/1.60     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( 
% 1.18/1.60    X, Y, 'tc_nat' ), 'tc_nat' ), hAPP( 'c_Suc', X ) ) ) ],
% 1.18/1.60     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( 'c_Suc', 
% 1.18/1.60    Y ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ) ) ],
% 1.18/1.60     [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( 'c_Suc', Y ) ) ) ) ],
% 1.18/1.60     [ ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), X ) ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( 'c_Suc', X ) ) ) ],
% 1.18/1.60     [ hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y, 
% 1.18/1.60    'tc_nat' ), 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( Z, T, 'tc_nat' ) ) )
% 1.18/1.60    , ~( hBOOL( hAPP( 'c_lessequals'( Y, 'tc_nat' ), T ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_lessequals'( X, 'tc_nat' ), Z ) ) ) ],
% 1.18/1.60     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), hBOOL( 
% 1.18/1.60    hAPP( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( T, U, X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( 
% 1.18/1.60    Z, X ), U ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.18/1.60     [ ~( =( 'c_GCD_Ogcd__class_Olcm'( X, Y, 'tc_nat' ), 
% 1.18/1.60    'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ), =( Y, 'c_HOL_Oone__class_Oone'( 
% 1.18/1.60    'tc_nat' ) ) ],
% 1.18/1.60     [ ~( =( 'c_GCD_Ogcd__class_Olcm'( X, Y, 'tc_nat' ), 
% 1.18/1.60    'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ), =( X, 'c_HOL_Oone__class_Oone'( 
% 1.18/1.60    'tc_nat' ) ) ],
% 1.18/1.60     [ ~( =( 'c_GCD_Ogcd__class_Olcm'( X, Y, 'tc_nat' ), 
% 1.18/1.60    'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ), =( X, 'c_HOL_Oone__class_Oone'( 
% 1.18/1.60    'tc_nat' ) ) ],
% 1.18/1.60     [ ~( =( 'c_GCD_Ogcd__class_Olcm'( X, Y, 'tc_nat' ), 
% 1.18/1.60    'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ), =( Y, 'c_HOL_Oone__class_Oone'( 
% 1.18/1.60    'tc_nat' ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), ~( hBOOL( 
% 1.18/1.60    hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Oinverse'( X ), Y ) ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Oinverse'( X ), Y ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ],
% 1.18/1.60     [ ~( hBOOL( hAPP( X, 'c_HOL_Ominus__class_Ominus'( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ), Y, 'tc_nat' ) ) ) ), hBOOL( 
% 1.18/1.60    hAPP( X, Z ) ) ],
% 1.18/1.60     [ ~( hBOOL( hAPP( X, 'c_HOL_Ominus__class_Ominus'( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ), Y, 'tc_nat' ) ) ) ), hBOOL( 
% 1.18/1.60    hAPP( X, Z ) ) ],
% 1.18/1.60     [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X, 'tc_nat' ), Y ), Z, 'tc_nat' ), 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( hAPP( 'c_HOL_Otimes__class_Otimes'( T, 
% 1.18/1.60    'tc_nat' ), Y ), U, 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.60    'c_HOL_Ominus__class_Ominus'( X, T, 'tc_nat' ), 'tc_nat' ), Y ), Z, 
% 1.18/1.60    'tc_nat' ), U, 'tc_nat' ) ), ~( hBOOL( hAPP( 'c_lessequals'( T, 'tc_nat'
% 1.18/1.60     ), X ) ) ) ],
% 1.18/1.60     [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X, 'tc_nat' ), Y ), Z, 'tc_nat' ), 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( hAPP( 'c_HOL_Otimes__class_Otimes'( T, 
% 1.18/1.60    'tc_nat' ), Y ), U, 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( 
% 1.18/1.60    Z, 'c_HOL_Oplus__class_Oplus'( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.60    'c_HOL_Ominus__class_Ominus'( T, X, 'tc_nat' ), 'tc_nat' ), Y ), U, 
% 1.18/1.60    'tc_nat' ), 'tc_nat' ) ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), 
% 1.18/1.60    T ) ) ) ],
% 1.18/1.60     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), ~( hBOOL( 
% 1.18/1.60    hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( Y, Y, X ) ) ) ) ],
% 1.18/1.60     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( Y, Y, X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y, 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'( 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ), 'tc_nat' ) ), ~( hBOOL( 
% 1.18/1.60    hAPP( 'c_lessequals'( hAPP( 'c_Power_Opower__class_Opower'( Y, X ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), X ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), 
% 1.18/1.60    ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 1.18/1.60     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( 
% 1.18/1.60    'c_HOL_Oone__class_Oone'( X ), Y, X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.18/1.60     ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.18/1.60     [ ~( 'class_RealVector_Oreal__field'( X ) ), =( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( Y, X ), Z ), hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( T, X ), U ), X ), W, X ), 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Z, U, X )
% 1.18/1.60    , W, X ) ), hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, T, X )
% 1.18/1.60    , W, X ), X ), U ), X ) ) ],
% 1.18/1.60     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 
% 1.18/1.60    'c_Series_Osummable'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( Y, X ), Z
% 1.18/1.60    , X, X, 'tc_nat' ), X ), ~( 'c_Series_Osummable'( Z, X ) ) ],
% 1.18/1.60     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 
% 1.18/1.60    'c_Series_Osummable'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( Y, X ), Z
% 1.18/1.60    , X, X, 'tc_nat' ), X ), ~( 'c_Series_Osummable'( Z, X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( 'class_Int_Onumber'( X )
% 1.18/1.60     ), =( hAPP( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( 
% 1.18/1.60    Y, Z, X ), X ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), 
% 1.18/1.60    'c_HOL_Ominus__class_Ominus'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X )
% 1.18/1.60    , 'c_Int_Onumber__class_Onumber__of'( T, X ) ), hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( Z, X ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.18/1.60    T, X ) ), X ) ) ],
% 1.18/1.60     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), hBOOL( 
% 1.18/1.60    hAPP( 'c_lessequals'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), 
% 1.18/1.60    'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( T, U, X ), X ) ), X ), 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), 
% 1.18/1.60    'c_HOL_Ominus__class_Ominus'( Y, T, X ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( 
% 1.18/1.60    X ), 'c_HOL_Ominus__class_Ominus'( Z, U, X ) ), X ) ) ) ],
% 1.18/1.60     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_Series_Osums'( 
% 1.18/1.60    'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( Y, X ), Z, X, X, 'tc_nat' ), 
% 1.18/1.60    hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), T ), X ), ~( 'c_Series_Osums'( 
% 1.18/1.60    Z, T, X ) ) ],
% 1.18/1.60     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_Series_Osums'( 
% 1.18/1.60    'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( Y, X ), Z, X, X, 'tc_nat' ), 
% 1.18/1.60    hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), T ), X ), ~( 'c_Series_Osums'( 
% 1.18/1.60    Z, T, X ) ) ],
% 1.18/1.60     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.18/1.60    , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Oplus__class_Oplus'( Z, T, X )
% 1.18/1.60     ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), T ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.18/1.60     ],
% 1.18/1.60     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( 
% 1.18/1.60    'c_Finite__Set_Osetsum'( Y, Z, X ), T ), hAPP( 'c_Finite__Set_Osetsum'( U
% 1.18/1.60    , Z, X ), T ) ), 'c_in'( 
% 1.18/1.60    'c_ATP__Linkup_Osko__Finite__Set__Xsetsum__cong__1__1'( T, Y, U, Z, X ), 
% 1.18/1.60    T, Z ) ],
% 1.18/1.60     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 
% 1.18/1.60    'c_Series_Osummable'( Y, X ), ~( 'c_Series_Osums'( Y, Z, X ) ) ],
% 1.18/1.60     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 
% 1.18/1.60    'c_Series_Osummable'( Y, X ), ~( 'c_Series_Osums'( Y, Z, X ) ) ],
% 1.18/1.60     [ =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( hBOOL( hAPP( 'c_lessequals'( 
% 1.18/1.60    X, 'tc_nat' ), Y ) ) ) ],
% 1.18/1.60     [ ~( =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), hBOOL( hAPP( 'c_lessequals'( 
% 1.18/1.60    X, 'tc_nat' ), Y ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), Z
% 1.18/1.60     ), T, X ), 'c_HOL_Oplus__class_Oplus'( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( U, X ), Z ), 'c_HOL_Oplus__class_Oplus'( 
% 1.18/1.60    hAPP( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X
% 1.18/1.60     ), X ), Z ), T, X ), X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.18/1.60    'c_Ring__and__Field_Odvd__class_Odvd'( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.60    Y, X ), Z ), hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), T ), X ), ~( 
% 1.18/1.60    'c_Ring__and__Field_Odvd__class_Odvd'( Z, T, X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.18/1.60    'c_Ring__and__Field_Odvd__class_Odvd'( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.60    Y, X ), Z ), hAPP( 'c_HOL_Otimes__class_Otimes'( T, X ), Z ), X ), ~( 
% 1.18/1.60    'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.18/1.60    , ~( hBOOL( hAPP( 'c_lessequals'( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z ), X ), Y ) ) ), ~( 
% 1.18/1.60    hBOOL( hAPP( 'c_lessequals'( Y, X ), hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z ) ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), X ), hAPP( 
% 1.18/1.60    'c_Power_Opower__class_Opower'( Y, X ), Z ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), X ), Y ) ) ) ],
% 1.18/1.60     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP( 
% 1.18/1.60    'c_HOL_Oabs__class_Oabs'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ) )
% 1.18/1.60    , hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ) ) ],
% 1.18/1.60     [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z, 
% 1.18/1.60    'tc_nat' ), 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( Y, 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.18/1.60     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.18/1.60    , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 1.18/1.60     ) ) ],
% 1.18/1.60     [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.18/1.60    , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.18/1.60     ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.18/1.60    , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.18/1.60     ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.18/1.60    , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 1.18/1.60     ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.18/1.60    , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 1.18/1.60     ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.18/1.60    , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.18/1.60     ) ) ],
% 1.18/1.60     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.60    'tc_nat' ), 'tc_nat' ), X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), Y ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 1.18/1.60    'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_nat' ) ) ) ) ],
% 1.18/1.60     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( 
% 1.18/1.60    'c_Power_Opower__class_Opower'( Y, X ), 'c_HOL_Oplus__class_Oplus'( Z, T
% 1.18/1.60    , 'tc_nat' ) ), hAPP( 'c_HOL_Otimes__class_Otimes'( hAPP( 
% 1.18/1.60    'c_Power_Opower__class_Opower'( Y, X ), Z ), X ), hAPP( 
% 1.18/1.60    'c_Power_Opower__class_Opower'( Y, X ), T ) ) ) ],
% 1.18/1.60     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), hBOOL( 
% 1.18/1.60    hAPP( 'c_lessequals'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ), X ), 'c_HOL_Oplus__class_Oplus'( 
% 1.18/1.60    hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ), hAPP( 'c_HOL_Oabs__class_Oabs'( 
% 1.18/1.60    X ), Z ), X ) ) ) ],
% 1.18/1.60     [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( 
% 1.18/1.60    Y, Z, 'tc_nat' ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y )
% 1.18/1.60     ) ) ],
% 1.18/1.60     [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( 
% 1.18/1.60    Y, Z, 'tc_nat' ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Z )
% 1.18/1.60     ) ) ],
% 1.18/1.60     [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), 'tc_nat' )
% 1.18/1.60    , Y ) ) ) ],
% 1.18/1.60     [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Z, X, 'tc_nat' ), 'tc_nat' )
% 1.18/1.60    , Y ) ) ) ],
% 1.18/1.60     [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( 
% 1.18/1.60    Y, Z, 'tc_nat' ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y )
% 1.18/1.60     ) ) ],
% 1.18/1.60     [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( 
% 1.18/1.60    Y, Z, 'tc_nat' ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Z )
% 1.18/1.60     ) ) ],
% 1.18/1.60     [ ~( 'c_Parity_Oeven__odd__class_Oeven'( hAPP( 'c_Suc', hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( hAPP( 'c_Suc', hAPP( 'c_Suc', 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat' ), X ) ), 'tc_nat' )
% 1.18/1.60     ) ],
% 1.18/1.60     [ =( hAPP( 'c_COMBB'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) ) ) ]
% 1.18/1.60    ,
% 1.18/1.60     [ =( hAPP( 'c_COMBK'( X, Y, Z ), T ), X ) ],
% 1.18/1.60     [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP( 'c_lessequals'( 
% 1.18/1.60    Y, X ), Z ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), Y ) )
% 1.18/1.60     ) ],
% 1.18/1.60     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP( 'c_lessequals'( Z
% 1.18/1.60    , X ), Y ) ) ],
% 1.18/1.60     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( 'c_lessequals'( 
% 1.18/1.60    Y, X ), Y ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), Y ) )
% 1.18/1.60     ) ],
% 1.18/1.60     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Y, X ), Y ) ), hBOOL( hAPP( 'c_lessequals'( Y
% 1.18/1.60    , X ), Y ) ) ],
% 1.18/1.60     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_lessequals'( Z, X ), Y ) ) ) ],
% 1.18/1.60     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y
% 1.18/1.60    , X ), Z ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ) ]
% 1.18/1.60    ,
% 1.18/1.60     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP( 'c_lessequals'( Z
% 1.18/1.60    , X ), Y ) ) ],
% 1.18/1.60     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( 'c_lessequals'( 
% 1.18/1.60    Y, X ), Z ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), Y ) )
% 1.18/1.60     ) ],
% 1.18/1.60     [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), 
% 1.18/1.60    'c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1'( X ) ) ), ~( hBOOL( 
% 1.18/1.60    hAPP( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y, 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 1.18/1.60    , Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.18/1.60     ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.18/1.60     ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), ~( hBOOL( 
% 1.18/1.60    hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( Z, Y, X ) ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ), ~( hBOOL( 
% 1.18/1.60    hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ), ~( hBOOL( 
% 1.18/1.60    hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( Z, Y, X ) ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), ~( hBOOL( 
% 1.18/1.60    hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ) ) ],
% 1.18/1.60     [ ~( =( hAPP( 'c_HOL_Otimes__class_Otimes'( X, 'tc_nat' ), Y ), 
% 1.18/1.60    'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ), =( X, 'c_HOL_Oone__class_Oone'( 
% 1.18/1.60    'tc_nat' ) ) ],
% 1.18/1.60     [ ~( =( hAPP( 'c_HOL_Otimes__class_Otimes'( X, 'tc_nat' ), Y ), 
% 1.18/1.60    'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ), =( Y, 'c_HOL_Oone__class_Oone'( 
% 1.18/1.60    'tc_nat' ) ) ],
% 1.18/1.60     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.18/1.60    , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Oplus__class_Oplus'( Z, T, X )
% 1.18/1.60     ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ), ~( 
% 1.18/1.60    hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) )
% 1.18/1.60     ) ],
% 1.18/1.60     [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ), 'tc_nat'
% 1.18/1.60     ), 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ) ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_lessequals'( Z, 'tc_nat' ), Y ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z
% 1.18/1.60    , 'tc_nat' ), X ) ) ) ],
% 1.18/1.60     [ hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 
% 1.18/1.60    'tc_nat' ), 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ) )
% 1.18/1.60     ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Z ) ) ), ~( hBOOL( 
% 1.18/1.60    hAPP( 'c_lessequals'( Y, 'tc_nat' ), Z ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_lessequals'( Y, 'tc_nat' ), X ) ) ) ],
% 1.18/1.60     [ hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 
% 1.18/1.60    'tc_nat' ), 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ) )
% 1.18/1.60     ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Z ) ) ) ],
% 1.18/1.60     [ hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 
% 1.18/1.60    'tc_nat' ), 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ) )
% 1.18/1.60     ), ~( hBOOL( hAPP( 'c_lessequals'( Z, 'tc_nat' ), Y ) ) ) ],
% 1.18/1.60     [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Oplus__class_Oplus'( X, Y, 
% 1.18/1.60    'tc_nat' ), 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.18/1.60     [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y, 
% 1.18/1.60    'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( X, 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.18/1.60     [ ~( =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ), 
% 1.18/1.60    'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_lessequals'( Y, 'tc_nat' ), Z ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y
% 1.18/1.60    , 'tc_nat' ), X ) ) ), =( X, Z ) ],
% 1.18/1.60     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 
% 1.18/1.60    'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.18/1.60    , T, X ) ) ), =( Z, T ) ],
% 1.18/1.60     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 
% 1.18/1.60    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.18/1.60    , T, X ) ) ), =( Y, Z ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), ~( 'class_Int_Onumber'( 
% 1.18/1.60    X ) ), =( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( Z, T, X ) ), 'c_HOL_Oplus__class_Oplus'( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.18/1.60    , X ), Z ), hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), T ), X ) ) ],
% 1.18/1.60     [ ~( =( hAPP( 'c_HOL_Otimes__class_Otimes'( X, 'tc_nat' ), Y ), hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X, 'tc_nat' ), Z ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 1.18/1.60    'tc_nat' ), X ) ) ), =( Y, Z ) ],
% 1.18/1.60     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.60    'tc_nat' ), 'tc_nat' ), X ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    hAPP( 'c_HOL_Otimes__class_Otimes'( X, 'tc_nat' ), Y ), 'tc_nat' ), hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X, 'tc_nat' ), Z ) ) ) ) ],
% 1.18/1.60     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.60    'tc_nat' ), 'tc_nat' ), X ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    hAPP( 'c_HOL_Otimes__class_Otimes'( Y, 'tc_nat' ), X ), 'tc_nat' ), hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( Z, 'tc_nat' ), X ) ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), X ), Y ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( 
% 1.18/1.60    hAPP( 'c_lessequals'( hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Y ), X
% 1.18/1.60     ), 'c_HOL_Oone__class_Oone'( X ) ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL( 
% 1.18/1.60    hAPP( 'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) )
% 1.18/1.60    , ~( hBOOL( hAPP( 'c_lessequals'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, 
% 1.18/1.60    X ), T ), X ), hAPP( 'c_HOL_Otimes__class_Otimes'( Z, X ), T ) ) ) ) ]
% 1.18/1.60    ,
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL( 
% 1.18/1.60    hAPP( 'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) )
% 1.18/1.60    , ~( hBOOL( hAPP( 'c_lessequals'( hAPP( 'c_HOL_Otimes__class_Otimes'( T, 
% 1.18/1.60    X ), Y ), X ), hAPP( 'c_HOL_Otimes__class_Otimes'( T, X ), Z ) ) ) ) ]
% 1.18/1.60    ,
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_lessequals'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), Z ), X ), 
% 1.18/1.60    hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), T ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_lessequals'( Z, X ), T ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) )
% 1.18/1.60     ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( T, X ), Y ), X ), hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( T, X ), Z ) ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) )
% 1.18/1.60     ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_lessequals'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), Z ), X ), 
% 1.18/1.60    hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), T ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_lessequals'( T, X ), Z ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.18/1.60     ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( T, X ), Z ), X ), hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( T, X ), Y ) ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( T, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.18/1.60     ],
% 1.18/1.60     [ hBOOL( hAPP( 'c_lessequals'( hAPP( 'c_HOL_Otimes__class_Otimes'( X, 
% 1.18/1.60    'tc_nat' ), Y ), 'tc_nat' ), hAPP( 'c_HOL_Otimes__class_Otimes'( X, 
% 1.18/1.60    'tc_nat' ), Z ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, 'tc_nat' ), Z ) )
% 1.18/1.60     ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.60    'tc_nat' ), 'tc_nat' ), X ) ) ) ],
% 1.18/1.60     [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_lessequals'( hAPP( 'c_HOL_Otimes__class_Otimes'( Z, 'tc_nat' ), X ), 
% 1.18/1.60    'tc_nat' ), hAPP( 'c_HOL_Otimes__class_Otimes'( Z, 'tc_nat' ), Y ) ) ) )
% 1.18/1.60    , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.60    'tc_nat' ), 'tc_nat' ), Z ) ) ) ],
% 1.18/1.60     [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 1.18/1.60    'tc_nat' ), Z ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( Z, 'tc_nat' ), X ), 'tc_nat' ), hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( Z, 'tc_nat' ), Y ) ) ) ) ],
% 1.18/1.60     [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 1.18/1.60    'tc_nat' ), Z ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X, 'tc_nat' ), Z ), 'tc_nat' ), hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( Y, 'tc_nat' ), Z ) ) ) ) ],
% 1.18/1.60     [ =( X, hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X
% 1.18/1.60    , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( 'c_Suc', hAPP( 'c_Suc', 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ) ) ],
% 1.18/1.60     [ ~( 'class_Int_Oring__char__0'( X ) ), ~( 'class_Int_Onumber__ring'( X
% 1.18/1.60     ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =( Y, Z ) ],
% 1.18/1.60     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( 
% 1.18/1.60    'c_HOL_Ominus__class_Ominus'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X )
% 1.18/1.60    , Z ), hAPP( 'c_HOL_Otimes__class_Otimes'( T, X ), U ), X ), 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, T, X ), X
% 1.18/1.60     ), 'c_HOL_Ominus__class_Ominus'( Z, U, X ) ), hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, T, X ), X
% 1.18/1.60     ), U ), X ), hAPP( 'c_HOL_Otimes__class_Otimes'( T, X ), 
% 1.18/1.60    'c_HOL_Ominus__class_Ominus'( Z, U, X ) ), X ) ) ],
% 1.18/1.60     [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Ominus__class_Ominus'( X, Y
% 1.18/1.60    , 'tc_nat' ), 'tc_nat' ), 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat'
% 1.18/1.60     ), 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.18/1.60     [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Ominus__class_Ominus'( X, Y
% 1.18/1.60    , 'tc_nat' ), 'tc_nat' ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Y, 
% 1.18/1.60    'tc_nat' ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ]
% 1.18/1.60    ,
% 1.18/1.60     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.60    'tc_nat' ), 'tc_nat' ), hAPP( 'c_Suc', X ) ) ) ],
% 1.18/1.60     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.60    'tc_nat' ), 'tc_nat' ), hAPP( 'c_Suc', X ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), 
% 1.18/1.60    ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), X ), hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Oinverse'( X ), Y ) ) ) ) ],
% 1.18/1.60     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =( 
% 1.18/1.60    'c_SetInterval_Oord__class_OlessThan'( Y, X ), 
% 1.18/1.60    'c_SetInterval_Oord__class_OlessThan'( Z, X ) ) ), =( Y, Z ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ), hAPP( 
% 1.18/1.60    'c_Power_Opower__class_Opower'( Y, X ), Z ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 1.18/1.60    'tc_nat' ), Z ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_HOL_Oone__class_Oone'( X ), X ), Y ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), Z
% 1.18/1.60     ), 'c_HOL_Oplus__class_Oplus'( hAPP( 'c_HOL_Otimes__class_Otimes'( T, X
% 1.18/1.60     ), Z ), U, X ), X ), 'c_HOL_Oplus__class_Oplus'( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X )
% 1.18/1.60    , Z ), U, X ) ) ],
% 1.18/1.60     [ =( 'c_HOL_Oplus__class_Oplus'( hAPP( 'c_HOL_Otimes__class_Otimes'( X, 
% 1.18/1.60    'tc_nat' ), Y ), 'c_HOL_Oplus__class_Oplus'( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( Z, 'tc_nat' ), Y ), T, 'tc_nat' ), 'tc_nat'
% 1.18/1.60     ), 'c_HOL_Oplus__class_Oplus'( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), 'tc_nat' ), Y ), T, 
% 1.18/1.60    'tc_nat' ) ) ],
% 1.18/1.60     [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_SEQ_OLIMSEQ'( Y, 
% 1.18/1.60    'c_SEQ_Olim'( Y, X ), X ), ~( 'c_SEQ_Oconvergent'( Y, X ) ) ],
% 1.18/1.60     [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_SEQ_Oconvergent'( Y, X
% 1.18/1.60     ), ~( 'c_SEQ_OLIMSEQ'( Y, 'c_SEQ_Olim'( Y, X ), X ) ) ],
% 1.18/1.60     [ hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 
% 1.18/1.60    'tc_nat' ), 'tc_nat' ), X ) ) ],
% 1.18/1.60     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.60    'tc_nat' ), 'tc_nat' ), X ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X, 'tc_nat' ), Y ) ) ) ) ],
% 1.18/1.60     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.60    'tc_nat' ), 'tc_nat' ), X ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( Y, 'tc_nat' ), X ) ) ) ) ],
% 1.18/1.60     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL( 
% 1.18/1.60    hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 1.18/1.60     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.18/1.60    , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.18/1.60     [ =( hAPP( 'c_SetInterval_Oord__class_OatLeastLessThan'( X, 'tc_nat' ), 
% 1.18/1.60    hAPP( 'c_Suc', Y ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_nat'
% 1.18/1.60    , 'tc_bool' ) ) ), hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ) ]
% 1.18/1.60    ,
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y, 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ), ~( hBOOL( hAPP( 'c_lessequals'( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( hAPP( 'c_HOL_Otimes__class_Otimes'( Z, X ), Z
% 1.18/1.60     ), hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), Y ), X ), X ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y, 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ), ~( hBOOL( hAPP( 'c_lessequals'( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), Y
% 1.18/1.60     ), hAPP( 'c_HOL_Otimes__class_Otimes'( Z, X ), Z ), X ), X ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.18/1.60     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( Y, X ), 'c_HOL_Ominus__class_Ominus'( Z, T
% 1.18/1.60    , X ) ), 'c_HOL_Ominus__class_Ominus'( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.60    Y, X ), Z ), hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), T ), X ) ) ]
% 1.18/1.60    ,
% 1.18/1.60     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( Y, X ), 'c_HOL_Ominus__class_Ominus'( Z, T
% 1.18/1.60    , X ) ), 'c_HOL_Ominus__class_Ominus'( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.60    Y, X ), Z ), hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), T ), X ) ) ]
% 1.18/1.60    ,
% 1.18/1.60     [ =( hAPP( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( X
% 1.18/1.60    , Y, 'tc_nat' ), 'tc_nat' ), Z ), 'c_HOL_Ominus__class_Ominus'( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X, 'tc_nat' ), Z ), hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( Y, 'tc_nat' ), Z ), 'tc_nat' ) ) ],
% 1.18/1.60     [ =( hAPP( 'c_HOL_Otimes__class_Otimes'( X, 'tc_nat' ), 
% 1.18/1.60    'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ) ), 
% 1.18/1.60    'c_HOL_Ominus__class_Ominus'( hAPP( 'c_HOL_Otimes__class_Otimes'( X, 
% 1.18/1.60    'tc_nat' ), Y ), hAPP( 'c_HOL_Otimes__class_Otimes'( X, 'tc_nat' ), Z ), 
% 1.18/1.60    'tc_nat' ) ) ],
% 1.18/1.60     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X
% 1.18/1.60     ), T ), 'c_HOL_Ominus__class_Ominus'( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.60    Y, X ), T ), hAPP( 'c_HOL_Otimes__class_Otimes'( Z, X ), T ), X ) ) ]
% 1.18/1.60    ,
% 1.18/1.60     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X
% 1.18/1.60     ), T ), 'c_HOL_Ominus__class_Ominus'( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.60    Y, X ), T ), hAPP( 'c_HOL_Otimes__class_Otimes'( Z, X ), T ), X ) ) ]
% 1.18/1.60    ,
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( 
% 1.18/1.60    'c_Power_Opower__class_Opower'( Y, X ), 'c_HOL_Ominus__class_Ominus'( Z, 
% 1.18/1.60    T, 'tc_nat' ) ), 'c_HOL_Oinverse__class_Odivide'( hAPP( 
% 1.18/1.60    'c_Power_Opower__class_Opower'( Y, X ), Z ), hAPP( 
% 1.18/1.60    'c_Power_Opower__class_Opower'( Y, X ), T ), X ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_lessequals'( T, 'tc_nat' ), Z ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.60    X ) ) ],
% 1.18/1.60     [ =( 'c_GCD_Ogcd__class_Olcm'( X, X, 'tc_nat' ), X ) ],
% 1.18/1.60     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 1.18/1.60    'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'( 
% 1.18/1.60    'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.18/1.60    , U, X ), X ) ) ],
% 1.18/1.60     [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y, 
% 1.18/1.60    'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( 
% 1.18/1.60    'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 1.18/1.60     [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y, 
% 1.18/1.60    'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 'tc_nat' ), 'tc_nat' ), 
% 1.18/1.60    'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_lessequals'( Y, 'tc_nat' ), Z ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y
% 1.18/1.60    , 'tc_nat' ), X ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_lessequals'( hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Y ), X ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X
% 1.18/1.60     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( 
% 1.18/1.60    hAPP( 'c_lessequals'( hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Y ), X
% 1.18/1.60     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.18/1.60     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( 
% 1.18/1.60    X, Y, 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 
% 1.18/1.60    'tc_nat' ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, 'tc_nat' ), X ) ) ), 
% 1.18/1.60    ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Z ) ) ) ],
% 1.18/1.60     [ ~( 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Ominus__class_Ominus'( X
% 1.18/1.60    , 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ), 'tc_nat' ) ), ~( 
% 1.18/1.60    'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 1.18/1.60    'tc_nat' ), X ) ) ) ],
% 1.18/1.60     [ 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ), 
% 1.18/1.60    'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Ominus__class_Ominus'( X, 
% 1.18/1.60    'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ), 'tc_nat' ), ~( hBOOL( 
% 1.18/1.60    hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 1.18/1.60    'tc_nat' ), X ) ) ) ],
% 1.18/1.60     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), ~( hBOOL( 
% 1.18/1.60    hAPP( 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Otimes__class_Otimes'( hAPP( 
% 1.18/1.60    'c_Suc', Z ), 'tc_nat' ), X ), 'tc_nat' ), hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( hAPP( 'c_Suc', Z ), 'tc_nat' ), Y ) ) ) ) ]
% 1.18/1.60    ,
% 1.18/1.60     [ =( 'c_HOL_Oplus__class_Oplus'( hAPP( 'c_Suc', X ), Y, 'tc_nat' ), hAPP( 
% 1.18/1.60    'c_Suc', 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ) ],
% 1.18/1.60     [ =( 'c_HOL_Oplus__class_Oplus'( X, hAPP( 'c_Suc', Y ), 'tc_nat' ), hAPP( 
% 1.18/1.60    'c_Suc', 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), Z
% 1.18/1.60     ), T, X ), 'c_HOL_Oplus__class_Oplus'( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( U, X ), Z ), W, X ) ) ), =( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.60    'c_HOL_Ominus__class_Ominus'( Y, U, X ), X ), Z ), T, X ), W ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), Z
% 1.18/1.60     ), T, X ), 'c_HOL_Oplus__class_Oplus'( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( U, X ), Z ), W, X ) ) ), =( T, 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.60    'c_HOL_Ominus__class_Ominus'( U, Y, X ), X ), Z ), W, X ) ) ],
% 1.18/1.60     [ =( 'c_GCD_Ogcd__class_Olcm'( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), X, 
% 1.18/1.60    'tc_nat' ), X ) ],
% 1.18/1.60     [ =( 'c_GCD_Ogcd__class_Olcm'( X, 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 
% 1.18/1.60    'tc_nat' ), X ) ],
% 1.18/1.60     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), hBOOL( 
% 1.18/1.60    hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.18/1.60    hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ) ) ), =( Y, 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( Y, X ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.18/1.60    Z, X ) ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ), Y ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.18/1.60    , X ), X ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( 
% 1.18/1.60    hAPP( 'c_HOL_Otimes__class_Otimes'( T, X ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ), Y ) ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X ), hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( Z, X ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.18/1.60    T, X ) ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_lessequals'( Z, X ), 'c_HOL_Oinverse__class_Odivide'( Y, 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X ), 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.18/1.60    , X ), X ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z
% 1.18/1.60    , X ), hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( hAPP( 'c_Power_Opower__class_Opower'( Y, X ), 
% 1.18/1.60    Z ), X ), hAPP( 'c_Power_Opower__class_Opower'( Y, X ), T ) ) ), ~( hBOOL( 
% 1.18/1.60    hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 1.18/1.60     ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( T, 'tc_nat' ), Z ) ) ) ],
% 1.18/1.60     [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.60    X, 'tc_nat' ), Y ), 'tc_nat' ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Y
% 1.18/1.60    , 'tc_nat' ) ) ],
% 1.18/1.60     [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.60    X, 'tc_nat' ), Y ), 'tc_nat' ), ~( 'c_Parity_Oeven__odd__class_Oeven'( X
% 1.18/1.60    , 'tc_nat' ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.18/1.60    'c_Ring__and__Field_Odvd__class_Odvd'( hAPP( 
% 1.18/1.60    'c_Power_Opower__class_Opower'( Y, X ), Z ), hAPP( 
% 1.18/1.60    'c_Power_Opower__class_Opower'( Y, X ), T ), X ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_lessequals'( Z, 'tc_nat' ), T ) ) ) ],
% 1.18/1.60     [ =( 'c_Complex_Ocnj'( 'c_Complex_Ocnj'( X ) ), X ) ],
% 1.18/1.60     [ =( 'c_GCD_Ogcd__class_Olcm'( X, Y, 'tc_nat' ), 
% 1.18/1.60    'c_GCD_Ogcd__class_Olcm'( Y, X, 'tc_nat' ) ) ],
% 1.18/1.60     [ =( 'c_GCD_Ogcd__class_Olcm'( X, Y, 'tc_nat' ), 
% 1.18/1.60    'c_GCD_Ogcd__class_Olcm'( Y, X, 'tc_nat' ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_lessequals'( hAPP( 'c_Power_Opower__class_Opower'( Y, X ), Z ), X ), 
% 1.18/1.60    hAPP( 'c_Power_Opower__class_Opower'( Y, X ), T ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_lessequals'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ), ~( hBOOL( 
% 1.18/1.60    hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ), ~( 
% 1.18/1.60    hBOOL( hAPP( 'c_lessequals'( T, 'tc_nat' ), Z ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z ), X ), Y ) ) ), hBOOL( 
% 1.18/1.60    hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z
% 1.18/1.60     ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), 
% 1.18/1.60    ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( T, X )
% 1.18/1.60    , X ), Z ) ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.18/1.60    , X ), X ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Otimes__class_Otimes'( T, X ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ), Y ) ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X
% 1.18/1.60     ), 'c_HOL_Oinverse__class_Odivide'( Z, 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.18/1.60    , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( Y, X ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.18/1.60    T, X ) ) ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.18/1.60    T, X ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.18/1.60    Y, X ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ), 
% 1.18/1.60    ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), 
% 1.18/1.60    hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.18/1.60    X ), Z ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z ), X ), Y ) ) ), ~( 
% 1.18/1.60    hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( T, X )
% 1.18/1.60    , X ), Z ) ) ) ) ],
% 1.18/1.60     [ ~( =( 'c_Complex_Oii', 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex'
% 1.18/1.60     ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y, 
% 1.18/1.60    X ) ) ],
% 1.18/1.60     [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( Z, T, 'tc_nat' ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Z, 'tc_nat' ), Y ) ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), T ) ) ],
% 1.18/1.60     [ =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_nat' ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y, 
% 1.18/1.60    X ) ) ],
% 1.18/1.60     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y, 
% 1.18/1.60    X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), ~( hBOOL( 
% 1.18/1.60    hAPP( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ), ~( hBOOL( 
% 1.18/1.60    hAPP( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_lessequals'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( 
% 1.18/1.60    hAPP( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( 
% 1.18/1.60    hAPP( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.18/1.60     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( 
% 1.18/1.60    X, Y, 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( X, Z, 
% 1.18/1.60    'tc_nat' ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, 'tc_nat' )
% 1.18/1.60    , X ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, 'tc_nat' ), Y )
% 1.18/1.60     ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_lessequals'( hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Z ), X ), 
% 1.18/1.60    hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Y ) ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_lessequals'( hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Y ), X ), 
% 1.18/1.60    hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Z ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.18/1.60    , ~( hBOOL( hAPP( 'c_lessequals'( Z, X ), Y ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_lessequals'( hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Z ), X ), 
% 1.18/1.60    hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Y ) ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_lessequals'( hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Y ), X ), 
% 1.18/1.60    hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Z ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.18/1.60    , ~( hBOOL( hAPP( 'c_lessequals'( Z, X ), Y ) ) ) ],
% 1.18/1.60     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( 
% 1.18/1.60    'c_Finite__Set_Osetsum'( Y, 'tc_nat', X ), 
% 1.18/1.60    'c_SetInterval_Oord__class_OlessThan'( hAPP( 'c_Suc', Z ), 'tc_nat' ) ), 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( hAPP( 'c_Finite__Set_Osetsum'( Y, 'tc_nat', X
% 1.18/1.60     ), 'c_SetInterval_Oord__class_OlessThan'( Z, 'tc_nat' ) ), hAPP( Y, Z )
% 1.18/1.60    , X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), Z
% 1.18/1.60     ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ), 
% 1.18/1.60    ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), Y ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 1.18/1.60     ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Otimes__class_Otimes'( T, X ), Z
% 1.18/1.60     ), X ), Y ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 1.18/1.60     ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Otimes__class_Otimes'( T, X ), Z
% 1.18/1.60     ), X ), Y ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 1.18/1.60     ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), 
% 1.18/1.60    ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( T, X ), Z ) ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Y, X ), hAPP( 'c_HOL_Otimes__class_Otimes'( Z
% 1.18/1.60    , X ), T ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ), 
% 1.18/1.60    ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T
% 1.18/1.60    , X ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Z, X ), hAPP( 'c_HOL_Otimes__class_Otimes'( Y
% 1.18/1.60    , X ), T ) ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T
% 1.18/1.60    , X ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Z, X ), hAPP( 'c_HOL_Otimes__class_Otimes'( Y
% 1.18/1.60    , X ), T ) ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T
% 1.18/1.60    , X ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( T, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), 
% 1.18/1.60    ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( Y, X ), T ), X ), Z ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), =( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.18/1.60    , 'c_HOL_Oinverse__class_Odivide'( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), Z ), Z, X ) ), =( Z, 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_lessequals'( hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Y ), X ), 
% 1.18/1.60    'c_HOL_Oone__class_Oone'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( 
% 1.18/1.60    'c_HOL_Oone__class_Oone'( X ), X ), Y ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( Y, Y, X ), hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ), 
% 1.18/1.60    'c_HOL_Oone__class_Oone'( X ), X ), X ), Y ) ) ],
% 1.18/1.60     [ ~( =( hAPP( 'c_Suc', X ), hAPP( 'c_Suc', Y ) ) ), =( X, Y ) ],
% 1.18/1.60     [ ~( =( hAPP( 'c_Suc', X ), hAPP( 'c_Suc', Y ) ) ), =( X, Y ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), X
% 1.18/1.60     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Z, X ), hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), T ) ) ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ]
% 1.18/1.60    ,
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), X
% 1.18/1.60     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( T, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), 
% 1.18/1.60    ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.18/1.60    , X ), T ), X ), Z ) ) ) ],
% 1.18/1.60     [ =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), hAPP( 'c_Suc', 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.18/1.60     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), hBOOL( 
% 1.18/1.60    hAPP( 'c_lessequals'( Y, X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ) )
% 1.18/1.60     ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), 
% 1.18/1.60    hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.18/1.60    X ), Z ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), X
% 1.18/1.60     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( T, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), 
% 1.18/1.60    hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.18/1.60    X ), T ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), X
% 1.18/1.60     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Z, X ), hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), T ) ) ) ), ~( hBOOL( 
% 1.18/1.60    hAPP( 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), T ), X ), Z ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X
% 1.18/1.60     ), T ), U, X ), X ), W ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), T
% 1.18/1.60     ), U, X ), X ), 'c_HOL_Oplus__class_Oplus'( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( Z, X ), T ), W, X ) ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( Y, X ), Z ), T, X ), X ), 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( hAPP( 'c_HOL_Otimes__class_Otimes'( U, X ), Z
% 1.18/1.60     ), W, X ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.60    'c_HOL_Ominus__class_Ominus'( Y, U, X ), X ), Z ), T, X ), X ), W ) ) ) ]
% 1.18/1.60    ,
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Oplus__class_Oplus'( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Z, T, X ), X
% 1.18/1.60     ), U ), W, X ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( hAPP( 'c_HOL_Otimes__class_Otimes'( T, X ), U
% 1.18/1.60     ), Y, X ), X ), 'c_HOL_Oplus__class_Oplus'( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( Z, X ), U ), W, X ) ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( Y, X ), Z ), T, X ), X ), 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( hAPP( 'c_HOL_Otimes__class_Otimes'( U, X ), Z
% 1.18/1.60     ), W, X ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ), 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.60    'c_HOL_Ominus__class_Ominus'( U, Y, X ), X ), Z ), W, X ) ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), =( Y, hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.18/1.60    , X ), X ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =( 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.18/1.60     ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), =( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.18/1.60    , X ), X ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y ), =( 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.18/1.60     ) ) ],
% 1.18/1.60     [ ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ) ), =( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( hAPP( 'c_HOL_Otimes__class_Otimes'( X, 
% 1.18/1.60    'tc_nat' ), Z ), 'c_HOL_Oplus__class_Oplus'( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, X, 
% 1.18/1.60    'tc_nat' ), 'tc_nat' ), Z ), T, 'tc_nat' ), 'tc_nat' ), 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, 
% 1.18/1.60    'tc_nat' ), Z ), T, 'tc_nat' ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ), 
% 1.18/1.60    Y, X ) ) ],
% 1.18/1.60     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.60    'tc_nat' ), 'tc_nat' ), hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.60    'tc_nat' ) ) ) ) ],
% 1.18/1.60     [ ~( =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( X, 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y, 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.18/1.60     [ ~( =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( Y, hAPP( 'c_Suc', 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, hAPP( 'c_Suc', 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.18/1.60     [ hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 
% 1.18/1.60    'tc_nat' ), 'tc_nat' ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( X, 
% 1.18/1.60    'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ) ) ) ) ],
% 1.18/1.60     [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( 
% 1.18/1.60    Y, Z, 'tc_nat' ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( 
% 1.18/1.60    'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_nat' ), 'tc_nat' ), Y ) ) ) ]
% 1.18/1.60    ,
% 1.18/1.60     [ =( 'c_GCD_Ogcd__class_Olcm'( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 
% 1.18/1.60    'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ), 
% 1.18/1.60    'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ), X )
% 1.18/1.60    , Z ) ) ) ],
% 1.18/1.60     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), hBOOL( 
% 1.18/1.60    hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( 
% 1.18/1.60    'c_Finite__Set_Osetsum'( 'c_COMBB'( 'c_HOL_Oabs__class_Oabs'( X ), Y, X, 
% 1.18/1.60    X, Z ), Z, X ), T ) ) ) ],
% 1.18/1.60     [ hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( X, Y, 
% 1.18/1.60    'tc_nat' ), 'tc_nat' ), Z ), T, 'tc_nat' ), 'tc_nat' ), U ) ), ~( hBOOL( 
% 1.18/1.60    hAPP( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X, 'tc_nat' ), Z ), T, 'tc_nat' ), 'tc_nat'
% 1.18/1.60     ), 'c_HOL_Oplus__class_Oplus'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, 
% 1.18/1.60    'tc_nat' ), Z ), U, 'tc_nat' ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, 
% 1.18/1.60    'tc_nat' ), X ) ) ) ],
% 1.18/1.60     [ hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X, 'tc_nat' ), Y ), Z, 'tc_nat' ), 'tc_nat'
% 1.18/1.60     ), 'c_HOL_Oplus__class_Oplus'( hAPP( 'c_HOL_Otimes__class_Otimes'( T, 
% 1.18/1.60    'tc_nat' ), Y ), U, 'tc_nat' ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.60    'c_HOL_Ominus__class_Ominus'( X, T, 'tc_nat' ), 'tc_nat' ), Y ), Z, 
% 1.18/1.60    'tc_nat' ), 'tc_nat' ), U ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( T, 
% 1.18/1.60    'tc_nat' ), X ) ) ) ],
% 1.18/1.60     [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( 
% 1.18/1.60    hAPP( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, 
% 1.18/1.60    'tc_nat' ), 'tc_nat' ), T ), U, 'tc_nat' ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( Z, 'tc_nat' ), T ), X, 'tc_nat' ), 'tc_nat'
% 1.18/1.60     ), 'c_HOL_Oplus__class_Oplus'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, 
% 1.18/1.60    'tc_nat' ), T ), U, 'tc_nat' ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, 
% 1.18/1.60    'tc_nat' ), Y ) ) ) ],
% 1.18/1.60     [ hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X, 'tc_nat' ), Y ), Z, 'tc_nat' ), 'tc_nat'
% 1.18/1.60     ), 'c_HOL_Oplus__class_Oplus'( hAPP( 'c_HOL_Otimes__class_Otimes'( T, 
% 1.18/1.60    'tc_nat' ), Y ), U, 'tc_nat' ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, 
% 1.18/1.60    'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( T, X, 
% 1.18/1.60    'tc_nat' ), 'tc_nat' ), Y ), U, 'tc_nat' ) ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_lessequals'( X, 'tc_nat' ), T ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =( 
% 1.18/1.60    'c_Nat_Osemiring__1__class_Oof__nat'( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.60    Y, 'tc_nat' ), Z ), X ), hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.60    'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ), 
% 1.18/1.60    'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ) ],
% 1.18/1.60     [ ~( =( 'c_HOL_Oplus__class_Oplus'( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.60    X, 'tc_nat' ), Y ), hAPP( 'c_HOL_Otimes__class_Otimes'( Z, 'tc_nat' ), T
% 1.18/1.60     ), 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X, 'tc_nat' ), T ), hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( Z, 'tc_nat' ), Y ), 'tc_nat' ) ) ), =( Y, T
% 1.18/1.60     ), =( X, Z ) ],
% 1.18/1.60     [ ~( =( 'c_HOL_Oplus__class_Oplus'( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.60    X, 'tc_nat' ), Y ), hAPP( 'c_HOL_Otimes__class_Otimes'( Z, 'tc_nat' ), T
% 1.18/1.60     ), 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X, 'tc_nat' ), T ), hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( Z, 'tc_nat' ), Y ), 'tc_nat' ) ) ), =( Y, T
% 1.18/1.60     ), =( X, Z ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 1.18/1.60    X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( Y, X ), Z ), hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( T, X ), U ), X ), 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), U
% 1.18/1.60     ), hAPP( 'c_HOL_Otimes__class_Otimes'( T, X ), Z ), X ) ) ), =( Z, U ), 
% 1.18/1.60    =( Y, T ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 1.18/1.60    X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( Y, X ), Z ), hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( T, X ), U ), X ), 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), U
% 1.18/1.60     ), hAPP( 'c_HOL_Otimes__class_Otimes'( T, X ), Z ), X ) ) ), =( Z, U ), 
% 1.18/1.60    =( Y, T ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ), X
% 1.18/1.60     ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ) ), hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( Y, X ), Y ) ) ],
% 1.18/1.60     [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( 'c_Suc', X ), hAPP( 'c_Suc', Y
% 1.18/1.60     ), 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X
% 1.18/1.60     ), hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), T ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( T, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.18/1.60    , hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.18/1.60    , X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( T, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.18/1.60    , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.18/1.60    , X ), T ) ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ],
% 1.18/1.60     [ =( X, Y ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), 
% 1.18/1.60    hAPP( 'c_Suc', Y ) ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 
% 1.18/1.60    'tc_nat' ), Y ) ) ],
% 1.18/1.60     [ =( X, Y ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), 
% 1.18/1.60    hAPP( 'c_Suc', X ) ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, 
% 1.18/1.60    'tc_nat' ), X ) ) ],
% 1.18/1.60     [ =( X, Y ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y )
% 1.18/1.60     ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( 
% 1.18/1.60    'c_Suc', Y ) ) ) ) ],
% 1.18/1.60     [ ~( =( X, hAPP( 'c_HOL_Otimes__class_Otimes'( X, 'tc_nat' ), Y ) ) ), 
% 1.18/1.60    =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y, 
% 1.18/1.60    'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.18/1.60    , X ), Z ), Z, X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), =( Z, 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( T, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.18/1.60    , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.18/1.60    , X ), T ) ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.18/1.60    , X ), T ), X ), Z ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( T, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.18/1.60    , ~( hBOOL( hAPP( 'c_lessequals'( Z, X ), hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.18/1.60    , X ), T ) ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X ), hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 1.18/1.60    , X ), T ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ), 
% 1.18/1.60    ~( hBOOL( hAPP( 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.18/1.60     ), X ), 'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ) ) ) ],
% 1.18/1.60     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( hAPP( 'c_Suc', X ), 'tc_nat' ), Y ), 
% 1.18/1.60    'tc_nat' ), hAPP( 'c_HOL_Otimes__class_Otimes'( hAPP( 'c_Suc', X ), 
% 1.18/1.60    'tc_nat' ), Z ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, 
% 1.18/1.60    'tc_nat' ), Z ) ) ) ],
% 1.18/1.60     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', X ), 'tc_nat' )
% 1.18/1.60    , Y ) ), =( hAPP( 'c_Suc', X ), Y ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ) ) ],
% 1.18/1.60     [ hBOOL( hAPP( 'c_lessequals'( hAPP( 'c_Suc', X ), 'tc_nat' ), Y ) ), 
% 1.18/1.60    hBOOL( hAPP( 'c_lessequals'( Y, 'tc_nat' ), X ) ) ],
% 1.18/1.60     [ ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_lessequals'( hAPP( 'c_Suc', Y ), 'tc_nat' ), X ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP( 
% 1.18/1.60    'c_Power_Opower__class_Opower'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y )
% 1.18/1.60    , X ), Z ), hAPP( 'c_Power_Opower__class_Opower'( Y, X ), Z ) ), ~( 
% 1.18/1.60    'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 1.18/1.60     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.60    'tc_nat' ), 'tc_nat' ), X ) ), 'c_Parity_Oeven__odd__class_Oeven'( X, 
% 1.18/1.60    'tc_nat' ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.18/1.60    'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Y
% 1.18/1.60    , 'tc_nat' ), 'tc_nat' ), hBOOL( hAPP( 'c_lessequals'( Z, X ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP( 
% 1.18/1.60    'c_Power_Opower__class_Opower'( Z, X ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), X ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.18/1.60     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~( =( hAPP( Y, 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.18/1.60     ) ), 'c_Series_Osums'( Y, Z, X ), ~( 'c_Series_Osums'( 'c_COMBB'( Y, 
% 1.18/1.60    'c_Suc', 'tc_nat', X, 'tc_nat' ), Z, X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Oinverse'( X ), Y ), 'c_HOL_Oone__class_Oone'( X )
% 1.18/1.60     ) ), =( Y, 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.18/1.60     [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ), 
% 1.18/1.60    'c_SEQ_OLIMSEQ'( 'c_COMBB'( 'c_HOL_Oinverse__class_Oinverse'( X ), Y, X, 
% 1.18/1.60    X, 'tc_nat' ), hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Z ), X ), =( 
% 1.18/1.60    Z, 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_SEQ_OLIMSEQ'( Y, Z, X ) ) ]
% 1.18/1.60    ,
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ), Y ) ), 
% 1.18/1.60    hBOOL( hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.18/1.60    , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Oinverse'( X ), Y ), X ), 'c_HOL_Oone__class_Oone'( 
% 1.18/1.60    X ) ) ) ) ],
% 1.18/1.60     [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), 
% 1.18/1.60    'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_nat'
% 1.18/1.60     ), Z, 'tc_nat' ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, 'tc_nat' ), Y )
% 1.18/1.60     ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X
% 1.18/1.60     ), 'c_HOL_Oinverse__class_Odivide'( Z, 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), Z ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( Y, X ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.18/1.60    Z, X ) ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.18/1.60    Z, X ) ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( T, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.18/1.60    , X ), X ) ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.18/1.60    , X ), X ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.18/1.60    Z, X ) ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( T, X ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.18/1.60    Z, X ) ) ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X
% 1.18/1.60     ), hAPP( 'c_HOL_Otimes__class_Otimes'( Z, X ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ), Z ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), 
% 1.18/1.60    T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( 
% 1.18/1.60    'c_HOL_Oabs__class_Oabs'( X ), 'c_HOL_Ominus__class_Ominus'( T, Y, X ) )
% 1.18/1.60    , X ), Z ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( 
% 1.18/1.60    'c_HOL_Oabs__class_Oabs'( X ), hAPP( 'c_HOL_Oinverse__class_Oinverse'( X
% 1.18/1.60     ), Y ) ), hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), hAPP( 
% 1.18/1.60    'c_HOL_Oabs__class_Oabs'( X ), Y ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( 
% 1.18/1.60    'c_HOL_Oabs__class_Oabs'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.18/1.60     ), 'c_HOL_Oinverse__class_Odivide'( hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.18/1.60    , Y ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Z ), X ) ) ],
% 1.18/1.60     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP( 
% 1.18/1.60    'c_HOL_Oabs__class_Oabs'( X ), Y ), Y ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) )
% 1.18/1.60     ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Oinverse'( X ), Y ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) )
% 1.18/1.60     ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Oinverse'( X ), Y ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) )
% 1.18/1.60     ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), 
% 1.18/1.60    ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.18/1.60     ), X ), hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Y ) ) ) ) ],
% 1.18/1.60     [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), hAPP( 'c_Suc', 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X, 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, hAPP( 'c_Suc', 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.18/1.60     [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), hAPP( 'c_Suc', 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, hAPP( 'c_Suc', 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y, 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.18/1.60     [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_lessequals'( hAPP( 'c_HOL_Otimes__class_Otimes'( hAPP( 'c_Suc', Z ), 
% 1.18/1.60    'tc_nat' ), X ), 'tc_nat' ), hAPP( 'c_HOL_Otimes__class_Otimes'( hAPP( 
% 1.18/1.60    'c_Suc', Z ), 'tc_nat' ), Y ) ) ) ) ],
% 1.18/1.60     [ hBOOL( hAPP( 'c_lessequals'( hAPP( 'c_HOL_Otimes__class_Otimes'( hAPP( 
% 1.18/1.60    'c_Suc', X ), 'tc_nat' ), Y ), 'tc_nat' ), hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( hAPP( 'c_Suc', X ), 'tc_nat' ), Z ) ) ), 
% 1.18/1.60    ~( hBOOL( hAPP( 'c_lessequals'( Y, 'tc_nat' ), Z ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), Y
% 1.18/1.60     ), hAPP( 'c_HOL_Otimes__class_Otimes'( Z, X ), Z ), X ) ) ), =( Z, 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), Y
% 1.18/1.60     ), hAPP( 'c_HOL_Otimes__class_Otimes'( Z, X ), Z ), X ) ) ), =( Y, 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), 
% 1.18/1.60    X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), 
% 1.18/1.60    hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X
% 1.18/1.60     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), 
% 1.18/1.60    hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 1.18/1.60     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), 
% 1.18/1.60    hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.18/1.60    X ), Z ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), 
% 1.18/1.60    hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.18/1.60    X ), Y ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.18/1.60     [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_Orderings_Obot__class_Obot'( 
% 1.18/1.60    'tc_fun'( X, 'tc_bool' ) ), hAPP( 
% 1.18/1.60    'c_SetInterval_Oord__class_OatLeastLessThan'( Y, X ), Z ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ],
% 1.18/1.60     [ ~( 'class_Orderings_Oorder'( X ) ), ~( =( 
% 1.18/1.60    'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), hAPP( 
% 1.18/1.60    'c_SetInterval_Oord__class_OatLeastLessThan'( Y, X ), Z ) ) ), ~( hBOOL( 
% 1.18/1.60    hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X
% 1.18/1.60     ), Z ), hAPP( 'c_HOL_Otimes__class_Otimes'( T, X ), Z ), X ), 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ), =( Z, 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X
% 1.18/1.60     ), Z ), hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), T ), X ), 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ), =( Y, 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.60     [ hBOOL( hAPP( 'c_lessequals'( hAPP( 'c_Suc', X ), 'tc_nat' ), hAPP( 
% 1.18/1.60    'c_Suc', X ) ) ) ],
% 1.18/1.60     [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ), ~( 
% 1.18/1.60    'c_Parity_Oeven__odd__class_Oeven'( hAPP( 'c_Suc', X ), 'tc_nat' ) ) ]
% 1.18/1.60    ,
% 1.18/1.60     [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( 'c_Suc', X ), 'tc_nat' ), 
% 1.18/1.60    'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X ), 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.18/1.60    , X ), X ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.18/1.60    T, X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( Y, X ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.18/1.60    T, X ) ), X ), Z ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( Y, X ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.18/1.60    Z, X ) ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.18/1.60    Z, X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( T, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.18/1.60    , X ), X ) ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.18/1.60    , X ), X ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.18/1.60    Z, X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( T, X ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.18/1.60    Z, X ) ) ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X ), hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( Z, X ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.18/1.60    T, X ) ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.18/1.60    T, X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( T
% 1.18/1.60    , X ), X ), X ), Z ) ) ) ],
% 1.18/1.60     [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X, 'tc_nat' ), X ) ) ) ],
% 1.18/1.60     [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ), 'c_Finite__Set_Ofinite'( 
% 1.18/1.60    Y, X ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.18/1.60    , X ), T ), 'c_HOL_Oinverse__class_Odivide'( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( Y, X ), T ), Z, X ) ) ],
% 1.18/1.60     [ =( hAPP( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( 
% 1.18/1.60    'tc_nat' ), 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), 
% 1.18/1.60    'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.18/1.60     [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Ominus__class_Ominus'( X, Y
% 1.18/1.60    , 'tc_nat' ), 'tc_nat' ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 
% 1.18/1.60    'tc_nat' ), Y ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ), 
% 1.18/1.60    hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( Y, X ), Z ), X ), hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( Y, X ), T ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) )
% 1.18/1.60    , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), T ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), Z
% 1.18/1.60     ), X ), hAPP( 'c_HOL_Otimes__class_Otimes'( T, X ), Z ) ) ), ~( hBOOL( 
% 1.18/1.60    hAPP( 'c_HOL_Oord__class_Oless'( T, X ), Y ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.18/1.60     ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), Z
% 1.18/1.60     ), X ), hAPP( 'c_HOL_Otimes__class_Otimes'( T, X ), Z ) ) ), ~( hBOOL( 
% 1.18/1.60    hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.18/1.60     ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL( 
% 1.18/1.60    hAPP( 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X
% 1.18/1.60     ), Z ), X ), hAPP( 'c_HOL_Otimes__class_Otimes'( T, X ), Z ) ) ), ~( 
% 1.18/1.60    hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.18/1.60    X ), Z ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) )
% 1.18/1.60     ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), Z
% 1.18/1.60     ), X ), hAPP( 'c_HOL_Otimes__class_Otimes'( T, X ), Z ) ) ), ~( hBOOL( 
% 1.18/1.60    hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.18/1.60     ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ), Y ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), Z
% 1.18/1.60     ), X ), hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), T ) ) ), ~( hBOOL( 
% 1.18/1.60    hAPP( 'c_HOL_Oord__class_Oless'( T, X ), Z ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.18/1.60     ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), Z
% 1.18/1.60     ), X ), hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), T ) ) ), ~( hBOOL( 
% 1.18/1.60    hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), T ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) )
% 1.18/1.60     ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL( 
% 1.18/1.60    hAPP( 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X
% 1.18/1.60     ), Z ), X ), hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), T ) ) ), ~( 
% 1.18/1.60    hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.18/1.60    X ), Y ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), T ) ) )
% 1.18/1.60     ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), Z
% 1.18/1.60     ), X ), hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), T ) ) ), ~( hBOOL( 
% 1.18/1.60    hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.18/1.60     ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ), Z ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), Z
% 1.18/1.60     ), X ), hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), T ) ) ), ~( hBOOL( 
% 1.18/1.60    hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), T ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) )
% 1.18/1.60     ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Otimes__class_Otimes'( T, X ), Y
% 1.18/1.60     ), X ), hAPP( 'c_HOL_Otimes__class_Otimes'( T, X ), Z ) ) ) ), ~( hBOOL( 
% 1.18/1.60    hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T
% 1.18/1.60     ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), Z
% 1.18/1.60     ), X ), hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), T ) ) ), ~( hBOOL( 
% 1.18/1.60    hAPP( 'c_HOL_Oord__class_Oless'( T, X ), Z ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.18/1.60     ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Otimes__class_Otimes'( T, X ), Z
% 1.18/1.60     ), X ), hAPP( 'c_HOL_Otimes__class_Otimes'( T, X ), Y ) ) ) ), ~( hBOOL( 
% 1.18/1.60    hAPP( 'c_HOL_Oord__class_Oless'( T, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.18/1.60     ) ) ) ],
% 1.18/1.60     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X, 'tc_nat' ), Y ), 'tc_nat' ), hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X, 'tc_nat' ), Z ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), Z ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 1.18/1.60    'tc_nat' ), X ) ) ) ],
% 1.18/1.60     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), ~( hBOOL( 
% 1.18/1.60    hAPP( 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Otimes__class_Otimes'( Z, 
% 1.18/1.60    'tc_nat' ), X ), 'tc_nat' ), hAPP( 'c_HOL_Otimes__class_Otimes'( Z, 
% 1.18/1.60    'tc_nat' ), Y ) ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), Z ) ) ) ],
% 1.18/1.60     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X, 'tc_nat' ), Y ), 'tc_nat' ), hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( Z, 'tc_nat' ), Y ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 1.18/1.60    'tc_nat' ), Y ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 
% 1.18/1.60    'tc_nat' ), Z ) ) ) ],
% 1.18/1.60     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X, 'tc_nat' ), Y ), 'tc_nat' ), hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X, 'tc_nat' ), Z ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 1.18/1.60    'tc_nat' ), X ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, 
% 1.18/1.60    'tc_nat' ), Z ) ) ) ],
% 1.18/1.60     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X, 'tc_nat' ), Y ), 'tc_nat' ), hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X, 'tc_nat' ), Z ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), Z ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 1.18/1.60    'tc_nat' ), X ) ) ) ],
% 1.18/1.60     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X, 'tc_nat' ), Y ), 'tc_nat' ), hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( Z, 'tc_nat' ), Y ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Z ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 1.18/1.60    'tc_nat' ), Y ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.18/1.60    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T, 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ), ~( 
% 1.18/1.60    'c_Ring__and__Field_Odvd__class_Odvd'( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.60    Y, X ), T ), hAPP( 'c_HOL_Otimes__class_Otimes'( Z, X ), T ), X ) ) ]
% 1.18/1.60    ,
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 
% 1.18/1.60    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T, 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ), ~( 
% 1.18/1.60    'c_Ring__and__Field_Odvd__class_Odvd'( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.60    T, X ), Y ), hAPP( 'c_HOL_Otimes__class_Otimes'( T, X ), Z ), X ) ) ]
% 1.18/1.60    ,
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.18/1.60    'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.18/1.60    'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_lessequals'( Y, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ), 
% 1.18/1.60    ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.18/1.60     ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, X ), hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( Y, X ), T ) ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_lessequals'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), T ), X ), Z )
% 1.18/1.60     ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_lessequals'( Y, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ), 
% 1.18/1.60    ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.18/1.60     ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ]
% 1.18/1.60    ,
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), 
% 1.18/1.60    hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.18/1.60    X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), T ) ), 
% 1.18/1.60    ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T )
% 1.18/1.60     ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.60    T, X ), Z ), X ), Y ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( T, X ), Z ) ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), T ) ), 
% 1.18/1.60    ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T )
% 1.18/1.60     ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ]
% 1.18/1.60    ,
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), 
% 1.18/1.60    hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.18/1.60    X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), Y ) ) ) ],
% 1.18/1.60     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 1.18/1.60    'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 1.18/1.60     ), Y ) ],
% 1.18/1.60     [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( X, Y, 
% 1.18/1.60    'tc_nat' ), X, 'tc_nat' ), Y ) ],
% 1.18/1.60     [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( X, Y, 
% 1.18/1.60    'tc_nat' ), Y, 'tc_nat' ), X ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 1.18/1.60    , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 1.18/1.60    , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.18/1.60     [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 1.18/1.60    , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 1.18/1.60    , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), 
% 1.18/1.60    'c_HOL_Ominus__class_Ominus'( Y, Z, X ) ), X ), T ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Oplus__class_Oplus'( Z, T, X )
% 1.18/1.60     ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_HOL_Ominus__class_Ominus'( Z, T, X ), X ), Y ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ), hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( Y, X ), Z ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ), Z ) ) ), 
% 1.18/1.60    ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 1.18/1.60    , X ), Y ) ) ) ],
% 1.18/1.60     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 1.18/1.60    hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z
% 1.18/1.60    , X ), X ), 'c_HOL_Oplus__class_Oplus'( T, U, X ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_lessequals'( Z, X ), U ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.18/1.60     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 1.18/1.60    hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z
% 1.18/1.60    , X ), X ), 'c_HOL_Oplus__class_Oplus'( T, U, X ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Z, X ), U ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_lessequals'( Y, X ), T ) ) ) ],
% 1.18/1.60     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', X ), 'tc_nat' )
% 1.18/1.60    , hAPP( 'c_Suc', Y ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 
% 1.18/1.60    'tc_nat' ), Y ) ) ) ],
% 1.18/1.60     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), ~( hBOOL( 
% 1.18/1.60    hAPP( 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', X ), 'tc_nat' ), hAPP( 
% 1.18/1.60    'c_Suc', Y ) ) ) ) ],
% 1.18/1.60     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', X ), 'tc_nat' )
% 1.18/1.60    , hAPP( 'c_Suc', Y ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 
% 1.18/1.60    'tc_nat' ), Y ) ) ) ],
% 1.18/1.60     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'( 
% 1.18/1.60    'c_COMBB'( 'c_Finite__Set_Osetsum'( Y, 'tc_nat', X ), 
% 1.18/1.60    'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.60    'tc_nat' ), 'tc_nat' ), 'tc_fun'( 'tc_nat', 'tc_bool' ), X, 'tc_nat' ), 
% 1.18/1.60    'c_Series_Osuminf'( Y, X ), X ), ~( 'c_Series_Osummable'( Y, X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.18/1.60     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~( =( 
% 1.18/1.60    hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.18/1.60     ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Oinverse'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.18/1.60     ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Oinverse'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.18/1.60     ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( Y, X ), U ), hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( T, X ), Z ), X ), hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( Z, X ), U ), X ) ), =( U, 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.18/1.60     ) ],
% 1.18/1.60     [ =( hAPP( 'c_HOL_Otimes__class_Otimes'( hAPP( 'c_Suc', 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ), hAPP( 'c_Suc', 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), hAPP( 'c_Suc', 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y, hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.18/1.60    , X ), Z ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.18/1.60    , X ), Z ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.18/1.60    'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 1.18/1.60     [ =( 'c_Complex_Ocnj'( 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' )
% 1.18/1.60     ), 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), Z
% 1.18/1.60     ), Z, X ), hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), X ), Z
% 1.18/1.60     ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( Y, hAPP( 'c_HOL_Otimes__class_Otimes'( Z, X )
% 1.18/1.60    , Y ), X ), hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oone__class_Oone'( X ), X ), X ), Y
% 1.18/1.60     ) ) ],
% 1.18/1.60     [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z
% 1.18/1.60    , 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), Y, 'tc_nat' ) ), ~( hBOOL( 
% 1.18/1.60    hAPP( 'c_lessequals'( Z, 'tc_nat' ), Y ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), ~( 'class_Int_Onumber'( 
% 1.18/1.60    X ) ), =( hAPP( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( 
% 1.18/1.60    Y, Z, X ), X ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( T, X ) ), hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( Z, X ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.18/1.60    T, X ) ), X ) ) ],
% 1.18/1.60     [ =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), hAPP( 'c_Suc', 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( X, 
% 1.18/1.60    'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ), Y, 'tc_nat' ) ) ), =( X
% 1.18/1.60    , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.18/1.60     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( 
% 1.18/1.60    X, Y, 'tc_nat' ), 'tc_nat' ), Z ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Z ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ), X
% 1.18/1.60     ), Z ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( Y, X ), Z ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_lessequals'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), X ), hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Oinverse'( X ), Y ) ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.18/1.60    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~( 
% 1.18/1.60    'c_Ring__and__Field_Odvd__class_Odvd'( hAPP( 'c_HOL_Oabs__class_Oabs'( X
% 1.18/1.60     ), Y ), Z, X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.18/1.60    'c_Ring__and__Field_Odvd__class_Odvd'( hAPP( 'c_HOL_Oabs__class_Oabs'( X
% 1.18/1.60     ), Y ), Z, X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ]
% 1.18/1.60    ,
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.18/1.60    'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~( 
% 1.18/1.60    'c_Ring__and__Field_Odvd__class_Odvd'( Y, hAPP( 'c_HOL_Oabs__class_Oabs'( 
% 1.18/1.60    X ), Z ), X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.18/1.60    'c_Ring__and__Field_Odvd__class_Odvd'( Y, hAPP( 'c_HOL_Oabs__class_Oabs'( 
% 1.18/1.60    X ), Z ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ]
% 1.18/1.60    ,
% 1.18/1.60     [ =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.60    'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 1.18/1.60     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Y, X ), Y ) ) ) ],
% 1.18/1.60     [ ~( 'class_Orderings_Oorder'( X ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Y, X ), Y ) ) ) ],
% 1.18/1.60     [ ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), X ) ) ) ]
% 1.18/1.60    ,
% 1.18/1.60     [ ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), X ) ) ) ]
% 1.18/1.60    ,
% 1.18/1.60     [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Y, X ), Y ) ) ) ],
% 1.18/1.60     [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP( 'c_lessequals'( Z
% 1.18/1.60    , X ), Y ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), Z ) ) ) ],
% 1.18/1.60     [ ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_nat' ) ) ) ), =( 
% 1.18/1.60    'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_nat'
% 1.18/1.60     ), X, 'tc_nat' ), Y ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber__ring'( X ) ), =( hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.18/1.60    , 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Y, X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), X
% 1.18/1.60     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.18/1.60     [ =( 'c_Nat_Osize__class_Osize'( 'c_List_Odrop'( X, Y, Z ), 
% 1.18/1.60    'tc_List_Olist'( Z ) ), 'c_HOL_Ominus__class_Ominus'( 
% 1.18/1.60    'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( Z ) ), X, 'tc_nat' ) ) ]
% 1.18/1.60    ,
% 1.18/1.60     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL( 
% 1.18/1.60    hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.18/1.60    , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.60    X ), X ), Y ) ) ) ],
% 1.18/1.60     [ =( 'c_GCD_Ogcd__class_Olcm'( X, 'c_GCD_Ogcd__class_Olcm'( X, Y, 
% 1.18/1.60    'tc_nat' ), 'tc_nat' ), 'c_GCD_Ogcd__class_Olcm'( X, Y, 'tc_nat' ) ) ]
% 1.18/1.60    ,
% 1.18/1.60     [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( 
% 1.18/1.60    X, Y, 'tc_nat' ) ) ) ],
% 1.18/1.60     [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( 
% 1.18/1.60    X, Y, 'tc_nat' ) ) ) ],
% 1.18/1.60     [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( 
% 1.18/1.60    Y, X, 'tc_nat' ) ) ) ],
% 1.18/1.60     [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( 
% 1.18/1.60    X, Y, 'tc_nat' ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), X ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), 
% 1.18/1.60    ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Oinverse'( X ), Y ), X ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Y
% 1.18/1.60     ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.18/1.60     ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Y
% 1.18/1.60     ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.18/1.60     ],
% 1.18/1.60     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X
% 1.18/1.60     ), Z ) ) ) ],
% 1.18/1.60     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( 
% 1.18/1.60    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.60    X ) ) ) ) ],
% 1.18/1.60     [ =( X, hAPP( 'c_Suc', 'c_HOL_Ominus__class_Ominus'( X, 
% 1.18/1.60    'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 1.18/1.60    'tc_nat' ), X ) ) ) ],
% 1.18/1.60     [ =( hAPP( 'c_Suc', 'c_HOL_Ominus__class_Ominus'( X, 
% 1.18/1.60    'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ) ), X ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 1.18/1.60    'tc_nat' ), X ) ) ) ],
% 1.18/1.60     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X
% 1.18/1.60    , Y, 'tc_nat' ), 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( Z, T, 'tc_nat' )
% 1.18/1.60     ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), T ) ) ), 
% 1.18/1.60    ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Z ) ) ) ],
% 1.18/1.60     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 1.18/1.60    hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z
% 1.18/1.60    , X ), X ), 'c_HOL_Oplus__class_Oplus'( T, U, X ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Z, X ), U ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.18/1.60     [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X
% 1.18/1.60     ), Z ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ) ]
% 1.18/1.60    ,
% 1.18/1.60     [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ) ) ],
% 1.18/1.60     [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y
% 1.18/1.60    , X ), Z ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) )
% 1.18/1.60     ],
% 1.18/1.60     [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Oinverse'( X ), 'c_HOL_Oone__class_Oone'( X ) ), 
% 1.18/1.60    'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ), hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Oinverse'( X ), Y ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ), 
% 1.18/1.60    ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.18/1.60     ), X ), Y ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Oinverse'( X ), 'c_HOL_Oone__class_Oone'( X ) ), 
% 1.18/1.60    'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( 
% 1.18/1.60    hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ]
% 1.18/1.60    ,
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_lessequals'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( 
% 1.18/1.60    hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ]
% 1.18/1.60    ,
% 1.18/1.60     [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_SEQ_Oconvergent'( Y, X
% 1.18/1.60     ), ~( 'c_SEQ_OLIMSEQ'( Y, Z, X ) ) ],
% 1.18/1.60     [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_SEQ_Oconvergent'( Y, X
% 1.18/1.60     ), ~( 'c_SEQ_OLIMSEQ'( Y, Z, X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_lessequals'( U, X ), Z ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), U ) ) )
% 1.18/1.60    , ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), T ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ), hAPP( 
% 1.18/1.60    'c_Power_Opower__class_Opower'( Y, X ), hAPP( 'c_Suc', Z ) ) ) ), ~( 
% 1.18/1.60    hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X
% 1.18/1.60     ), Y ) ) ) ],
% 1.18/1.60     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ) ],
% 1.18/1.60     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.18/1.60     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~( 
% 1.18/1.60    hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Oabs__class_Oabs'( X
% 1.18/1.60     ), Y ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), Z ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), 
% 1.18/1.60    X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), 
% 1.18/1.60    X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), Z ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Y, X ) ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.18/1.60    'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 1.18/1.60     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'( Y
% 1.18/1.60    , 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_Series_Osummable'( Y, X ) )
% 1.18/1.60     ],
% 1.18/1.60     [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( X, Y, 
% 1.18/1.60    'tc_nat' ), Y, 'tc_nat' ), X ), ~( hBOOL( hAPP( 'c_lessequals'( Y, 
% 1.18/1.60    'tc_nat' ), X ) ) ) ],
% 1.18/1.60     [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ominus__class_Ominus'( Y, X, 
% 1.18/1.60    'tc_nat' ), 'tc_nat' ), Y ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat'
% 1.18/1.60     ), Y ) ) ) ],
% 1.18/1.60     [ ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ) ), =( Y, 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat'
% 1.18/1.60     ), X, 'tc_nat' ) ) ],
% 1.18/1.60     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( Y, 
% 1.18/1.60    'c_Series_Osuminf'( Z, X ) ), ~( 'c_Series_Osums'( Z, Y, X ) ) ],
% 1.18/1.60     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( 
% 1.18/1.60    'c_Series_Osuminf'( Y, X ), Z ), ~( 'c_Series_Osums'( Y, Z, X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 1.18/1.60     ), 'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( Z, X ), T ) ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) )
% 1.18/1.60    , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ), Z ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 1.18/1.60     ), 'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( Z, X ), T ) ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.18/1.60    , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), T ) ) ) ],
% 1.18/1.60     [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( X, Y, 
% 1.18/1.60    'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), Y, 'tc_nat' ) ), ~( hBOOL( 
% 1.18/1.60    hAPP( 'c_lessequals'( Y, 'tc_nat' ), X ) ) ) ],
% 1.18/1.60     [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 
% 1.18/1.60    'tc_nat' ), 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), Z, 'tc_nat' ) ), ~( hBOOL( 
% 1.18/1.60    hAPP( 'c_lessequals'( Z, 'tc_nat' ), Y ) ) ) ],
% 1.18/1.60     [ =( 'c_List_Odrop'( X, 'c_List_Odrop'( Y, Z, T ), T ), 'c_List_Odrop'( 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), Z, T ) ) ],
% 1.18/1.60     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.60    'tc_nat' ), 'tc_nat' ), 'c_GCD_Ogcd__class_Olcm'( X, Y, 'tc_nat' ) ) ), 
% 1.18/1.60    ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.60    'tc_nat' ), 'tc_nat' ), Y ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 1.18/1.60    'tc_nat' ), X ) ) ) ],
% 1.18/1.60     [ =( 'c_GCD_Ogcd__class_Olcm'( X, 'c_GCD_Ogcd__class_Olcm'( Y, Z, 
% 1.18/1.60    'tc_nat' ), 'tc_nat' ), 'c_GCD_Ogcd__class_Olcm'( Y, 
% 1.18/1.60    'c_GCD_Ogcd__class_Olcm'( X, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.18/1.60     [ =( 'c_GCD_Ogcd__class_Olcm'( 'c_GCD_Ogcd__class_Olcm'( X, Y, 'tc_nat'
% 1.18/1.60     ), Z, 'tc_nat' ), 'c_GCD_Ogcd__class_Olcm'( X, 'c_GCD_Ogcd__class_Olcm'( 
% 1.18/1.60    Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.18/1.60     [ =( 'c_GCD_Ogcd__class_Olcm'( 'c_GCD_Ogcd__class_Olcm'( X, Y, 'tc_nat'
% 1.18/1.60     ), Z, 'tc_nat' ), 'c_GCD_Ogcd__class_Olcm'( X, 'c_GCD_Ogcd__class_Olcm'( 
% 1.18/1.60    Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 1.18/1.60    'tc_nat' ), Y ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.18/1.60    'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ) ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.18/1.60    'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 1.18/1.60    'tc_nat' ), Y ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL( 
% 1.18/1.60    hAPP( 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X
% 1.18/1.60     ), Z ), X ), hAPP( 'c_HOL_Otimes__class_Otimes'( T, X ), U ) ) ), ~( 
% 1.18/1.60    hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) )
% 1.18/1.60     ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.60    X ), X ), Y ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), U )
% 1.18/1.60     ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL( 
% 1.18/1.60    hAPP( 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X
% 1.18/1.60     ), Z ), X ), hAPP( 'c_HOL_Otimes__class_Otimes'( T, X ), U ) ) ), ~( 
% 1.18/1.60    hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.18/1.60    X ), Z ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.60    X ), X ), Y ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, X ), U ) ) ), ~( 
% 1.18/1.60    hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( hAPP( 
% 1.18/1.60    'c_Power_Opower__class_Opower'( Y, X ), Z ), hAPP( 
% 1.18/1.60    'c_Power_Opower__class_Opower'( Y, X ), T ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ), Y ) ) ), 
% 1.18/1.60    =( Z, T ) ],
% 1.18/1.60     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ), 
% 1.18/1.60    ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ) ],
% 1.18/1.60     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ), 
% 1.18/1.60    hBOOL( hAPP( 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), 
% 1.18/1.60    X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ), X
% 1.18/1.60     ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( 
% 1.18/1.60    'c_Power_Opower__class_Opower'( Y, X ), 
% 1.18/1.60    'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) )
% 1.18/1.60    , 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( 
% 1.18/1.60    Z, 'tc_nat' ), 'tc_nat' ) ],
% 1.18/1.60     [ ~( =( 'c_Complex_Ocnj'( X ), 'c_Complex_Ocnj'( Y ) ) ), =( X, Y ) ]
% 1.18/1.60    ,
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 
% 1.18/1.60    X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( Y
% 1.18/1.60    , X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( Y, X ), hAPP( 
% 1.18/1.60    'c_Power_Opower__class_Opower'( Y, X ), Z ) ), hAPP( 
% 1.18/1.60    'c_Power_Opower__class_Opower'( Y, X ), hAPP( 'c_Suc', Z ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( hAPP( 'c_Power_Opower__class_Opower'( Y, X
% 1.18/1.60     ), Z ), X ), Y ), hAPP( 'c_Power_Opower__class_Opower'( Y, X ), hAPP( 
% 1.18/1.60    'c_Suc', Z ) ) ) ],
% 1.18/1.60     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), hBOOL( 
% 1.18/1.60    hAPP( 'c_lessequals'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), 
% 1.18/1.60    'c_HOL_Ominus__class_Ominus'( Y, Z, X ) ), X ), 
% 1.18/1.60    'c_HOL_Oplus__class_Oplus'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ), 
% 1.18/1.60    hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Z ), X ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.18/1.60    'c_Ring__and__Field_Odvd__class_Odvd'( hAPP( 
% 1.18/1.60    'c_Power_Opower__class_Opower'( Y, X ), Z ), hAPP( 
% 1.18/1.60    'c_Power_Opower__class_Opower'( T, X ), U ), X ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_lessequals'( Z, 'tc_nat' ), U ) ) ), ~( 
% 1.18/1.60    'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.18/1.60    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber'( X ) ), ~( =( 'c_HOL_Oinverse__class_Odivide'( Y, Z, 
% 1.18/1.60    X ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), =( Y, hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( T, X )
% 1.18/1.60    , X ), Z ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.60     [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), hAPP( 'c_Suc', Y ) ) ), 
% 1.18/1.60    ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ) ) ],
% 1.18/1.60     [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_lessequals'( hAPP( 'c_Suc', X ), 'tc_nat' ), Y ) ) ) ],
% 1.18/1.60     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( X, 'tc_nat' ), Y ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.60    'tc_nat' ) ), 'tc_nat' ), Y ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.60    'tc_nat' ) ), 'tc_nat' ), X ) ) ) ],
% 1.18/1.60     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( Y, 'tc_nat' ), X ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.60    'tc_nat' ) ), 'tc_nat' ), Y ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.60    'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.60    'tc_nat' ) ), 'tc_nat' ), X ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.18/1.60    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( Y, X ), hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Oinverse'( X ), Z ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.18/1.60    'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y, 
% 1.18/1.60    Z, X ), hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Oinverse'( X ), Z ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.60     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.60     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.60     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.60     [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( 
% 1.18/1.60    'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ), 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.18/1.60    'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.18/1.60    , X ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =( 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 1.18/1.60     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Oinverse'( X ), hAPP( 
% 1.18/1.60    'c_HOL_Oinverse__class_Oinverse'( X ), Y ) ), Y ), =( Y, 
% 1.18/1.60    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( Y, 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( X ) ), ~( 
% 1.18/1.61    'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 1.18/1.61    , X ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.18/1.61    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.18/1.61    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.18/1.61    ,
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( 
% 1.18/1.61    'c_HOL_Oinverse__class_Oinverse'( X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.18/1.61    , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( 
% 1.18/1.61    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( 
% 1.18/1.61    'c_HOL_Oinverse__class_Oinverse'( X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.18/1.61    , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =( hAPP( 
% 1.18/1.61    'c_HOL_Oinverse__class_Oinverse'( X ), Y ), hAPP( 
% 1.18/1.61    'c_HOL_Oinverse__class_Oinverse'( X ), Z ) ) ), =( Y, Z ), =( Z, 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.18/1.61     ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =( 
% 1.18/1.61    'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =( 
% 1.18/1.61    hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), Z ), 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 1.18/1.61     ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( Y, X ), Z ), 'c_HOL_Ozero__class_Ozero'( X
% 1.18/1.61     ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( Y, X ), Z ), 'c_HOL_Ozero__class_Ozero'( X
% 1.18/1.61     ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.61     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =( 
% 1.18/1.61    'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.18/1.61     ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.61     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 1.18/1.61    'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.18/1.61     ) ],
% 1.18/1.61     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 1.18/1.61    'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.18/1.61     ) ],
% 1.18/1.61     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 1.18/1.61    'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.18/1.61     ) ],
% 1.18/1.61     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( 
% 1.18/1.61    'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.18/1.61     ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 1.18/1.61    X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 1.18/1.61    X ) ), ~( =( Y, 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ), =( Z, 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.61     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( 
% 1.18/1.61    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.18/1.61    ,
% 1.18/1.61     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP( 
% 1.18/1.61    'c_HOL_Oabs__class_Oabs'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.61     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( 
% 1.18/1.61    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.18/1.61     ) ), =( Y, Z ) ],
% 1.18/1.61     [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( 
% 1.18/1.61    'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.18/1.61     ) ), =( Y, Z ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 1.18/1.61    X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 
% 1.18/1.61    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.18/1.61    , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.18/1.61    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.18/1.61    'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.18/1.61    , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.18/1.61    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.18/1.61    'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.18/1.61    , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.61     [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( 
% 1.18/1.61    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.18/1.61    , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.61     [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 
% 1.18/1.61    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 1.18/1.61     ],
% 1.18/1.61     [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( 
% 1.18/1.61    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.18/1.61     ],
% 1.18/1.61     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 1.18/1.61    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 1.18/1.61     ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'( 
% 1.18/1.61    X ) ), =( Y, 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.18/1.61     ), X ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.18/1.61    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.18/1.61     ],
% 1.18/1.61     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 1.18/1.61    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.18/1.61     ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.18/1.61    'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 1.18/1.61     ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( 
% 1.18/1.61    'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.18/1.61     ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP( 
% 1.18/1.61    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), 
% 1.18/1.61    'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ), ~( hBOOL( hAPP( 
% 1.18/1.61    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( Y, X ), Z ) ) ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP( 
% 1.18/1.61    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( Y, X ), Z ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.61    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ), 
% 1.18/1.61    'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP( 
% 1.18/1.61    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), ~( hBOOL( 
% 1.18/1.61    hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( Y, X ), Z ) ) ) ), 
% 1.18/1.61    'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP( 
% 1.18/1.61    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( Y, X ), Z ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.61    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ), 
% 1.18/1.61    'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.18/1.61    'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), hBOOL( hAPP( 
% 1.18/1.61    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ), ~( hBOOL( 
% 1.18/1.61    hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( Z, X ), Y ) ) ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP( 
% 1.18/1.61    'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.61    'c_lessequals'( hAPP( 'c_Power_Opower__class_Opower'( Y, X ), hAPP( 
% 1.18/1.61    'c_Suc', T ) ), X ), hAPP( 'c_Power_Opower__class_Opower'( Z, X ), hAPP( 
% 1.18/1.61    'c_Suc', T ) ) ) ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 
% 1.18/1.61    'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), hBOOL( hAPP( 
% 1.18/1.61    'c_lessequals'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( 
% 1.18/1.61    hAPP( 'c_lessequals'( hAPP( 'c_Power_Opower__class_Opower'( Z, X ), Y ), 
% 1.18/1.61    X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP( 
% 1.18/1.61    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y )
% 1.18/1.61    , X ), Z ) ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP( 
% 1.18/1.61    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( Y, X ), Z ) ) ), =( Y, 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'( 
% 1.18/1.61    Z, 'tc_nat' ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y, 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X ), 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( Y, X ), 
% 1.18/1.61    'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), X ), 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( Y, X ), hAPP( 'c_Suc', Z ) ), hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( T, X ), hAPP( 'c_Suc', Z ) ) ) ), =( Y, T
% 1.18/1.61     ), ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.18/1.61    , T ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X
% 1.18/1.61     ), X ), Y ) ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP( 
% 1.18/1.61    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( Y, X ), Z ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.61    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) )
% 1.18/1.61    , 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y, 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'( 
% 1.18/1.61    Z, 'tc_nat' ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( Y, X ), Z ), X ), 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP( 
% 1.18/1.61    'c_HOL_Oord__class_Oless'( hAPP( 'c_Power_Opower__class_Opower'( Y, X ), 
% 1.18/1.61    Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.61    'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.18/1.61    , 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP( 
% 1.18/1.61    'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.61    'c_HOL_Oord__class_Oless'( hAPP( 'c_Power_Opower__class_Opower'( Y, X ), 
% 1.18/1.61    T ), X ), hAPP( 'c_Power_Opower__class_Opower'( Z, X ), T ) ) ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 1.18/1.61    'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), ~( hBOOL( hAPP( 
% 1.18/1.61    'c_HOL_Oord__class_Oless'( hAPP( 'c_Power_Opower__class_Opower'( Z, X ), 
% 1.18/1.61    Y ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP( 
% 1.18/1.61    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( Y, X ), Z ) ) ), ~( 
% 1.18/1.61    'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP( 
% 1.18/1.61    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( Y, X ), Z ) ) ), ~( 
% 1.18/1.61    'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( 
% 1.18/1.61    'class_OrderedGroup_Omonoid__mult'( X ) ), hBOOL( hAPP( 'c_lessequals'( 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( Y, X ), Z ) ) ), ~( 
% 1.18/1.61    'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP( 
% 1.18/1.61    'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), 
% 1.18/1.61    ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( Y, X ), 
% 1.18/1.61    'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), X ), 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 
% 1.18/1.61    'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( hBOOL( hAPP( 
% 1.18/1.61    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.18/1.61    'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ) ) ) ), ~( 
% 1.18/1.61    'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Y
% 1.18/1.61    , 'tc_nat' ), 'tc_nat' ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP( 
% 1.18/1.61    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), 
% 1.18/1.61    'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.18/1.61    , 'tc_nat' ), 'tc_nat' ), =( 'c_Int_Onumber__class_Onumber__of'( Z, 
% 1.18/1.61    'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( hBOOL( hAPP( 
% 1.18/1.61    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( Y, X ), 
% 1.18/1.61    'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ) ) ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP( 
% 1.18/1.61    'c_HOL_Oord__class_Oless'( hAPP( 'c_Power_Opower__class_Opower'( Y, X ), 
% 1.18/1.61    Z ), X ), hAPP( 'c_Power_Opower__class_Opower'( T, X ), Z ) ) ), ~( hBOOL( 
% 1.18/1.61    hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 1.18/1.61    'tc_nat' ), Z ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.61    'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP( 
% 1.18/1.61    'c_lessequals'( hAPP( 'c_Power_Opower__class_Opower'( Y, X ), 
% 1.18/1.61    'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), X ), 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X
% 1.18/1.61     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), 
% 1.18/1.61    'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.18/1.61    , 'tc_nat' ), 'tc_nat' ), =( 'c_Int_Onumber__class_Onumber__of'( Z, 
% 1.18/1.61    'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 1.18/1.61    'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Y
% 1.18/1.61    , 'tc_nat' ), 'tc_nat' ) ), =( 'c_Int_Onumber__class_Onumber__of'( Y, 
% 1.18/1.61    'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hBOOL( hAPP( 
% 1.18/1.61    'c_lessequals'( hAPP( 'c_Power_Opower__class_Opower'( 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.18/1.61    Y, 'tc_nat' ) ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.18/1.61     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( 
% 1.18/1.61    'c_Finite__Set_Osetsum'( Y, Z, X ), T ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.18/1.61     ), 'c_in'( 'c_ATP__Linkup_Osko__Finite__Set__Xsetsum__0_H__1__1'( T, Y, 
% 1.18/1.61    Z, X ), T, Z ) ],
% 1.18/1.61     [ hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 1.18/1.61    'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.18/1.61     [ ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.61    'tc_nat' ), 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ]
% 1.18/1.61    ,
% 1.18/1.61     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.61    'tc_nat' ), 'tc_nat' ), X ) ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.18/1.61     ) ) ],
% 1.18/1.61     [ ~( =( hAPP( 'c_Suc', X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ]
% 1.18/1.61    ,
% 1.18/1.61     [ ~( =( hAPP( 'c_Suc', X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ]
% 1.18/1.61    ,
% 1.18/1.61     [ =( hAPP( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.61    'tc_nat' ), 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ]
% 1.18/1.61    ,
% 1.18/1.61     [ =( hAPP( 'c_HOL_Otimes__class_Otimes'( X, 'tc_nat' ), 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.61    'tc_nat' ) ) ],
% 1.18/1.61     [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.61    'tc_nat' ), 'tc_nat' ) ],
% 1.18/1.61     [ =( 'c_Nat_Onat_Onat__case'( X, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.18/1.61     ), Z ), X ) ],
% 1.18/1.61     [ =( 'c_Nat_Onat_Onat__case'( X, Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.18/1.61     ), Z ), X ) ],
% 1.18/1.61     [ ~( =( hAPP( 'c_HOL_Otimes__class_Otimes'( X, 'tc_nat' ), Y ), hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( X, 'tc_nat' ), Z ) ) ), =( Y, Z ), =( X, 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.18/1.61     [ ~( =( hAPP( 'c_HOL_Otimes__class_Otimes'( X, 'tc_nat' ), Y ), hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( X, 'tc_nat' ), Z ) ) ), =( X, 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y, Z ) ],
% 1.18/1.61     [ ~( =( hAPP( 'c_HOL_Otimes__class_Otimes'( X, 'tc_nat' ), Y ), hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( Z, 'tc_nat' ), Y ) ) ), =( Y, 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, Z ) ],
% 1.18/1.61     [ ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 1.18/1.61     [ ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 1.18/1.61     [ =( hAPP( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.61    'tc_nat' ), 'tc_nat' ), X ), hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), Y ) ) ],
% 1.18/1.61     [ =( hAPP( 'c_HOL_Otimes__class_Otimes'( X, 'tc_nat' ), 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( Y, 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.61    'tc_nat' ) ) ) ],
% 1.18/1.61     [ =( 'c_GCD_Ogcd__class_Olcm'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.18/1.61    , 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.18/1.61     [ =( 'c_GCD_Ogcd__class_Olcm'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X
% 1.18/1.61    , 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.18/1.61     [ =( 'c_GCD_Ogcd__class_Olcm'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.18/1.61    , 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.18/1.61     [ =( 'c_GCD_Ogcd__class_Olcm'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X
% 1.18/1.61    , 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.18/1.61     [ ~( =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_nat' ), 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( =( 
% 1.18/1.61    'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_nat' ), 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y, X ) ],
% 1.18/1.61     [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( hBOOL( hAPP( 
% 1.18/1.61    'c_lessequals'( X, 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) )
% 1.18/1.61     ) ],
% 1.18/1.61     [ ~( =( hAPP( 'c_HOL_Otimes__class_Otimes'( X, 'tc_nat' ), Y ), 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y, 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.18/1.61     [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.18/1.61     [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y, 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.18/1.61     [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_nat' ), 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.18/1.61     [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.61    'tc_nat' ), 'tc_nat' ), X ) ],
% 1.18/1.61     [ ~( =( X, 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( Y, 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.18/1.61     [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), X ) ), =( Y, 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.18/1.61     [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( 'c_Suc', X ) ) ) ]
% 1.18/1.61    ,
% 1.18/1.61     [ ~( hBOOL( hAPP( 'c_lessequals'( hAPP( 'c_Suc', X ), 'tc_nat' ), X ) )
% 1.18/1.61     ) ],
% 1.18/1.61     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( 
% 1.18/1.61    X, Y, 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( Z, Y, 
% 1.18/1.61    'tc_nat' ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' )
% 1.18/1.61    , Z ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, 'tc_nat' ), Z ) ) ), ~( 
% 1.18/1.61    hBOOL( hAPP( 'c_lessequals'( Y, 'tc_nat' ), X ) ) ) ],
% 1.18/1.61     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), ~( hBOOL( 
% 1.18/1.61    hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X, Z, 
% 1.18/1.61    'tc_nat' ), 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ) )
% 1.18/1.61     ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, 'tc_nat' ), Y ) ) ), ~( hBOOL( 
% 1.18/1.61    hAPP( 'c_lessequals'( Z, 'tc_nat' ), X ) ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.61    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.18/1.61    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), 
% 1.18/1.61    ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.18/1.61     ), X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), 
% 1.18/1.61    Y, X ) ) ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.61    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.18/1.61    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.18/1.61    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) )
% 1.18/1.61     ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.61    X ), X ), Y ) ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 'class_Int_Onumber'( X )
% 1.18/1.61     ), =( hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), 
% 1.18/1.61    'c_Int_Onumber__class_Onumber__of'( Y, X ) ), 
% 1.18/1.61    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), 
% 1.18/1.61    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.18/1.61     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 1.18/1.61    'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( 
% 1.18/1.61    hAPP( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.18/1.61     [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 1.18/1.61    'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X
% 1.18/1.61     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.18/1.61     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 
% 1.18/1.61    'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =( hAPP( 
% 1.18/1.61    'c_HOL_Oabs__class_Oabs'( X ), Y ), Y ), hBOOL( hAPP( 
% 1.18/1.61    'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ]
% 1.18/1.61    ,
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =( hAPP( 
% 1.18/1.61    'c_HOL_Oabs__class_Oabs'( X ), Y ), Y ), hBOOL( hAPP( 
% 1.18/1.61    'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ]
% 1.18/1.61    ,
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP( 
% 1.18/1.61    'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), Z ) ), ~( hBOOL( hAPP( 
% 1.18/1.61    'c_HOL_Oord__class_Oless'( hAPP( 'c_Power_Opower__class_Opower'( T, X ), 
% 1.18/1.61    Y ), X ), hAPP( 'c_Power_Opower__class_Opower'( T, X ), Z ) ) ) ), ~( 
% 1.18/1.61    hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X
% 1.18/1.61     ), T ) ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP( 
% 1.18/1.61    'c_HOL_Oord__class_Oless'( hAPP( 'c_Power_Opower__class_Opower'( Y, X ), 
% 1.18/1.61    Z ), X ), hAPP( 'c_Power_Opower__class_Opower'( Y, X ), T ) ) ), ~( hBOOL( 
% 1.18/1.61    hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 1.18/1.61     ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, 'tc_nat' ), T ) ) ) ]
% 1.18/1.61    ,
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP( 
% 1.18/1.61    'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), Z ) ), ~( hBOOL( hAPP( 
% 1.18/1.61    'c_HOL_Oord__class_Oless'( hAPP( 'c_Power_Opower__class_Opower'( T, X ), 
% 1.18/1.61    Y ), X ), hAPP( 'c_Power_Opower__class_Opower'( T, X ), Z ) ) ) ), ~( 
% 1.18/1.61    hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X
% 1.18/1.61     ), T ) ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP( 
% 1.18/1.61    'c_HOL_Oord__class_Oless'( hAPP( 'c_Power_Opower__class_Opower'( Y, X ), 
% 1.18/1.61    Z ), X ), hAPP( 'c_Power_Opower__class_Opower'( Y, X ), T ) ) ), ~( hBOOL( 
% 1.18/1.61    hAPP( 'c_HOL_Oord__class_Oless'( Z, 'tc_nat' ), T ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.61    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ), Y ) ) ) ]
% 1.18/1.61    ,
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.61    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.61    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( 
% 1.18/1.61    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), 
% 1.18/1.61    'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.61    'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z
% 1.18/1.61    , X ), hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.61    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), T ) ) ) ), ~( hBOOL( 
% 1.18/1.61    hAPP( 'c_lessequals'( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.61    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), T ), X ), Z ) ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.61    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.61    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( 
% 1.18/1.61    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), 
% 1.18/1.61    'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.61    'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP( 
% 1.18/1.61    'c_HOL_Oord__class_Oless'( T, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), 
% 1.18/1.61    hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.18/1.61    X ), T ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.61    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.61    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( 
% 1.18/1.61    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP( 
% 1.18/1.61    'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), 
% 1.18/1.61    hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.18/1.61    X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( 
% 1.18/1.61    'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), 
% 1.18/1.61    'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ) ) ],
% 1.18/1.61     [ ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( 
% 1.18/1.61    X, Y, 'tc_nat' ), 'tc_nat' ), Y ) ) ) ],
% 1.18/1.61     [ ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( 
% 1.18/1.61    X, Y, 'tc_nat' ), 'tc_nat' ), X ) ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), =( 
% 1.18/1.61    'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Ominus__class_Ominus'( Y, Z
% 1.18/1.61    , 'tc_nat' ), X ), 'c_HOL_Ominus__class_Ominus'( 
% 1.18/1.61    'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), 
% 1.18/1.61    'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ), ~( hBOOL( hAPP( 
% 1.18/1.61    'c_lessequals'( Z, 'tc_nat' ), Y ) ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.18/1.61    'c_Ring__and__Field_Odvd__class_Odvd'( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.61    Y, X ), Z ), hAPP( 'c_HOL_Otimes__class_Otimes'( T, X ), U ), X ), ~( 
% 1.18/1.61    'c_Ring__and__Field_Odvd__class_Odvd'( Z, U, X ) ), ~( 
% 1.18/1.61    'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 1.18/1.61     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP( 
% 1.18/1.61    'c_HOL_Oabs__class_Oabs'( X ), 'c_HOL_Oplus__class_Oplus'( hAPP( 
% 1.18/1.61    'c_HOL_Oabs__class_Oabs'( X ), Y ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), 
% 1.18/1.61    Z ), X ) ), 'c_HOL_Oplus__class_Oplus'( hAPP( 'c_HOL_Oabs__class_Oabs'( X
% 1.18/1.61     ), Y ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Z ), X ) ) ],
% 1.18/1.61     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), 
% 1.18/1.61    'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.61    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), 
% 1.18/1.61    'tc_nat' ), Y ) ) ) ],
% 1.18/1.61     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X
% 1.18/1.61    , Y, 'tc_nat' ), 'tc_nat' ), Z ) ), ~( hBOOL( hAPP( 
% 1.18/1.61    'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.18/1.61    , Y, 'tc_nat' ) ) ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.61    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.18/1.61    'c_lessequals'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), Z ), X ), T )
% 1.18/1.61     ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP( 
% 1.18/1.61    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ), 
% 1.18/1.61    ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X
% 1.18/1.61     ), X ), Y ) ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.61    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.18/1.61    'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), T ) ), 
% 1.18/1.61    ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( 
% 1.18/1.61    hAPP( 'c_HOL_Otimes__class_Otimes'( T, X ), Z ), X ), Y ) ) ), hBOOL( 
% 1.18/1.61    hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z
% 1.18/1.61     ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.61    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.18/1.61    'c_lessequals'( Y, X ), hAPP( 'c_HOL_Otimes__class_Otimes'( Z, X ), T ) )
% 1.18/1.61     ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ), 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP( 
% 1.18/1.61    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ), 
% 1.18/1.61    ~( hBOOL( hAPP( 'c_lessequals'( Z, X ), 'c_HOL_Oinverse__class_Odivide'( 
% 1.18/1.61    Y, T, X ) ) ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.61    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.18/1.61    'c_lessequals'( Y, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ), 
% 1.18/1.61    ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ), 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z
% 1.18/1.61    , X ), hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), T ) ) ) ), hBOOL( hAPP( 
% 1.18/1.61    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ]
% 1.18/1.61    ,
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.61    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.61    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( 
% 1.18/1.61    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.18/1.61    , X ), X ), X ), T ) ), ~( hBOOL( hAPP( 'c_lessequals'( 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.61    'c_lessequals'( hAPP( 'c_HOL_Otimes__class_Otimes'( T, X ), 
% 1.18/1.61    'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ), Y ) ) ), hBOOL( hAPP( 
% 1.18/1.61    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.18/1.61    'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.61    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.61    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X ), 
% 1.18/1.61    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.18/1.61    , X ), X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z
% 1.18/1.61    , X ), hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), 
% 1.18/1.61    'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ) ), hBOOL( hAPP( 
% 1.18/1.61    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.18/1.61    'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ],
% 1.18/1.61     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_Series_Osums'( 
% 1.18/1.61    Y, 'c_Series_Osuminf'( Y, X ), X ), ~( 'c_Series_Osummable'( Y, X ) ) ]
% 1.18/1.61    ,
% 1.18/1.61     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~( 
% 1.18/1.61    'c_Series_Osummable'( Y, X ) ), 'c_Series_Osums'( Y, 'c_Series_Osuminf'( 
% 1.18/1.61    Y, X ), X ) ],
% 1.18/1.61     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~( 
% 1.18/1.61    hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), 
% 1.18/1.61    X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.18/1.61     ) ) ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( 
% 1.18/1.61    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 1.18/1.61     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.61    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.18/1.61    , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( 
% 1.18/1.61    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 1.18/1.61     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.61    'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.18/1.61    , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.61    X ), X ), Y ) ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.61    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.18/1.61    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 1.18/1.61     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.61    'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.18/1.61    , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.61    X ), X ), Y ) ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.61    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.18/1.61    'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 1.18/1.61     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.61    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.18/1.61    , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.18/1.61     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X
% 1.18/1.61    , Y, 'tc_nat' ), 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' )
% 1.18/1.61     ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Z ) ) ) ]
% 1.18/1.61    ,
% 1.18/1.61     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), ~( hBOOL( 
% 1.18/1.61    hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Z, X, 
% 1.18/1.61    'tc_nat' ), 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ) ) )
% 1.18/1.61     ) ],
% 1.18/1.61     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X
% 1.18/1.61    , Y, 'tc_nat' ), 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' )
% 1.18/1.61     ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), Z ) ) ) ]
% 1.18/1.61    ,
% 1.18/1.61     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.18/1.61    , hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 
% 1.18/1.61    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( T, Y, X ), X ), 
% 1.18/1.61    'c_HOL_Oplus__class_Oplus'( T, Z, X ) ) ) ) ],
% 1.18/1.61     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.18/1.61    , hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, 
% 1.18/1.61    Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.61    'c_HOL_Oord__class_Oless'( Z, X ), T ) ) ) ],
% 1.18/1.61     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 1.18/1.61    hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z
% 1.18/1.61    , X ), X ), 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.61    'c_HOL_Oord__class_Oless'( Z, X ), T ) ) ) ],
% 1.18/1.61     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.18/1.61    , hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 
% 1.18/1.61    'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), 
% 1.18/1.61    'c_HOL_Oplus__class_Oplus'( Z, T, X ) ) ) ) ],
% 1.18/1.61     [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.18/1.61    , hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, 
% 1.18/1.61    Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( T, Z, X ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.61    'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.18/1.61     [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ), 
% 1.18/1.61    hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z
% 1.18/1.61    , X ), X ), 'c_HOL_Oplus__class_Oplus'( T, Z, X ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.61    'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.18/1.61     [ hBOOL( hAPP( 'c_lessequals'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.61    'tc_nat' ) ), 'tc_nat' ), hAPP( 'c_HOL_Otimes__class_Otimes'( X, 'tc_nat'
% 1.18/1.61     ), Y ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP( 'c_Suc', 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ), Y ) ) ), ~( hBOOL( 
% 1.18/1.61    hAPP( 'c_lessequals'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.18/1.61     ) ), 'tc_nat' ), X ) ) ) ],
% 1.18/1.61     [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y
% 1.18/1.61    , X ), Y ) ) ],
% 1.18/1.61     [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X
% 1.18/1.61     ), Y ) ) ],
% 1.18/1.61     [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), X ) ) ],
% 1.18/1.61     [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP( 
% 1.18/1.61    'c_lessequals'( Z, 'tc_nat' ), Y ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( X
% 1.18/1.61    , 'tc_nat' ), Z ) ) ) ],
% 1.18/1.61     [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), X ) ) ],
% 1.18/1.61     [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( 
% 1.18/1.61    'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 
% 1.18/1.61    'c_HOL_Oord__class_Oless'( T, X ), Z ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.61    'c_lessequals'( Y, X ), T ) ) ) ],
% 1.18/1.61     [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( 
% 1.18/1.61    'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( 
% 1.18/1.61    T, X ), Z ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), T ) )
% 1.18/1.61     ) ],
% 1.18/1.61     [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP( 
% 1.18/1.61    'c_lessequals'( Y, X ), 'c_HOL_Oplus__class_Oplus'( Z, T, X ) ) ), ~( 
% 1.18/1.61    hBOOL( hAPP( 'c_lessequals'( U, X ), T ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.61    'c_lessequals'( Y, X ), 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ) ) ]
% 1.18/1.61    ,
% 1.18/1.61     [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y
% 1.18/1.61    , X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( T, X ), Z ) ) ), ~( hBOOL( 
% 1.18/1.61    hAPP( 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.18/1.61    'c_Ring__and__Field_Odvd__class_Odvd'( hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( Y, X ), Z ), T, X ), ~( hBOOL( hAPP( 
% 1.18/1.61    'c_lessequals'( Z, 'tc_nat' ), U ) ) ), ~( 
% 1.18/1.61    'c_Ring__and__Field_Odvd__class_Odvd'( hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( Y, X ), U ), T, X ) ) ],
% 1.18/1.61     [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL( 
% 1.18/1.61    hAPP( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, X
% 1.18/1.61     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( 
% 1.18/1.61    Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.18/1.61     [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( 
% 1.18/1.61    'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 
% 1.18/1.61    'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.61    'c_lessequals'( T, X ), Z ) ) ) ],
% 1.18/1.61     [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( 
% 1.18/1.61    'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( 
% 1.18/1.61    Y, X ), T ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ), Z ) )
% 1.18/1.61     ) ],
% 1.18/1.61     [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X
% 1.18/1.61     ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), T ) ) ), ~( hBOOL( 
% 1.18/1.61    hAPP( 'c_lessequals'( T, X ), Z ) ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.61    'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( 
% 1.18/1.61    'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Y
% 1.18/1.61     ), X ), 'c_HOL_Oone__class_Oone'( X ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.61    'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ), Y ) ) ) ]
% 1.18/1.61    ,
% 1.18/1.61     [ 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ), 
% 1.18/1.61    'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), ~( 
% 1.18/1.61    'c_Parity_Oeven__odd__class_Oeven'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y
% 1.18/1.61    , 'tc_nat' ), X ), 'tc_nat' ) ) ],
% 1.18/1.61     [ hBOOL( hAPP( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( hBOOL( 
% 1.18/1.61    hAPP( 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), Z ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.61    X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_nat' ) ) ) ) ],
% 1.18/1.61     [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.18/1.61    , hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ), 
% 1.18/1.61    hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.61    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.61    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( 
% 1.18/1.61    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), 
% 1.18/1.61    'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.61    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.18/1.61    'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), hBOOL( hAPP( 
% 1.18/1.61    'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), 
% 1.18/1.61    ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( T, X )
% 1.18/1.61    , X ), Z ) ) ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.61    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.61    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( 
% 1.18/1.61    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), 
% 1.18/1.61    'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.61    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.18/1.61    'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.61    'c_lessequals'( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.61    'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z ), X ), Y ) ) ), hBOOL( 
% 1.18/1.61    hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z
% 1.18/1.61     ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.61    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.61    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( 
% 1.18/1.61    'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.18/1.61    , X ), X ), X ), T ) ), ~( hBOOL( hAPP( 'c_lessequals'( 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.61    'c_lessequals'( hAPP( 'c_HOL_Otimes__class_Otimes'( T, X ), 
% 1.18/1.61    'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ), Y ) ) ), ~( hBOOL( 
% 1.18/1.61    hAPP( 'c_lessequals'( Y, X ), hAPP( 'c_HOL_Otimes__class_Otimes'( T, X )
% 1.18/1.61    , 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ) ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~( 
% 1.18/1.61    'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( 
% 1.18/1.61    'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X ), 
% 1.18/1.61    'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.18/1.61    , X ), X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z
% 1.18/1.61    , X ), hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), 
% 1.18/1.61    'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.61    'c_lessequals'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), 
% 1.18/1.61    'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), Z ) ) ) ],
% 1.18/1.61     [ =( X, Y ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), 
% 1.18/1.61    hAPP( 'c_Suc', Y ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, 'tc_nat' ), 
% 1.18/1.61    X ) ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( 
% 1.18/1.61    'c_HOL_Ominus__class_Ominus'( hAPP( 'c_HOL_Oinverse__class_Oinverse'( X )
% 1.18/1.61    , Y ), hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Z ), X ), hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( hAPP( 'c_HOL_Otimes__class_Otimes'( hAPP( 
% 1.18/1.61    'c_HOL_Oinverse__class_Oinverse'( X ), Y ), X ), 
% 1.18/1.61    'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ), X ), hAPP( 
% 1.18/1.61    'c_HOL_Oinverse__class_Oinverse'( X ), Z ) ) ), =( Z, 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.18/1.61     ) ],
% 1.18/1.61     [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ), 
% 1.18/1.61    'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), hBOOL( hAPP( 
% 1.18/1.61    'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), X ) ), ~( 
% 1.18/1.61    'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Ominus__class_Ominus'( Y, X, 
% 1.18/1.61    'tc_nat' ), 'tc_nat' ) ) ],
% 1.18/1.61     [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ), 
% 1.18/1.61    'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), hBOOL( hAPP( 
% 1.18/1.61    'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), ~( 
% 1.18/1.61    'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Ominus__class_Ominus'( X, Y, 
% 1.18/1.61    'tc_nat' ), 'tc_nat' ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( 
% 1.18/1.61    'c_HOL_Oplus__class_Oplus'( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 
% 1.18/1.61    hAPP( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.18/1.61    , 'c_HOL_Ozero__class_Ozero'( X ) ), X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.18/1.61     ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP( 
% 1.18/1.61    'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP( 
% 1.18/1.61    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ), 
% 1.18/1.61    ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( T, X ), Z ), X ), hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( T, X ), Y ) ) ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP( 
% 1.18/1.61    'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), 
% 1.18/1.61    hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), T ) ), ~( hBOOL( hAPP( 
% 1.18/1.61    'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), Z
% 1.18/1.61     ), X ), hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), T ) ) ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP( 
% 1.18/1.61    'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP( 
% 1.18/1.61    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ), 
% 1.18/1.61    ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( Z, X ), T ), X ), hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( Y, X ), T ) ) ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP( 
% 1.18/1.61    'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), 
% 1.18/1.61    hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), T ) ), ~( hBOOL( hAPP( 
% 1.18/1.61    'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Otimes__class_Otimes'( Z, X ), Y
% 1.18/1.61     ), X ), hAPP( 'c_HOL_Otimes__class_Otimes'( T, X ), Y ) ) ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP( 
% 1.18/1.61    'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Oplus__class_Oplus'( Z, T, X )
% 1.18/1.61     ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( 
% 1.18/1.61    'c_HOL_Oabs__class_Oabs'( X ), 'c_HOL_Ominus__class_Ominus'( Y, Z, X ) )
% 1.18/1.61    , X ), T ) ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP( 
% 1.18/1.61    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( Y, X ), 
% 1.18/1.61    'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ) ) ), =( Y, 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'( 
% 1.18/1.61    'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.18/1.61     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( 
% 1.18/1.61    X, Y, 'tc_nat' ), 'tc_nat' ), X ) ), ~( hBOOL( hAPP( 
% 1.18/1.61    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 1.18/1.61    'tc_nat' ), X ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), Y ) ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y )
% 1.18/1.61    , X ), 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( Y, X ), 
% 1.18/1.61    'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ) ), ~( 
% 1.18/1.61    'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.18/1.61    , 'tc_nat' ), 'tc_nat' ) ) ],
% 1.18/1.61     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_Series_Osums'( 
% 1.18/1.61    Y, 'c_HOL_Oplus__class_Oplus'( Z, hAPP( Y, 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.61    'tc_nat' ) ), X ), X ), ~( 'c_Series_Osums'( 'c_COMBB'( Y, 'c_Suc', 
% 1.18/1.61    'tc_nat', X, 'tc_nat' ), Z, X ) ) ],
% 1.18/1.61     [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ominus__class_Ominus'( Y, X, 
% 1.18/1.61    'tc_nat' ), 'tc_nat' ), Y ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, 
% 1.18/1.61    'tc_nat' ), X ) ) ],
% 1.18/1.61     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( 
% 1.18/1.61    X, hAPP( 'c_Suc', Y ), 'tc_nat' ), 'tc_nat' ), X ) ), ~( hBOOL( hAPP( 
% 1.18/1.61    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 1.18/1.61    'tc_nat' ), X ) ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( 
% 1.18/1.61    'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 
% 1.18/1.61    'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), =( U, 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.18/1.61     ), =( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), U ), hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( T, X ), Z ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( Y, X ), Z ), hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( T, X ), U ) ) ), =( Z, 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( X ) ), =( U, 'c_HOL_Ozero__class_Ozero'( X )
% 1.18/1.61     ), =( 'c_HOL_Oinverse__class_Odivide'( Y, U, X ), 
% 1.18/1.61    'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ],
% 1.18/1.61     [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), hBOOL( 
% 1.18/1.61    hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( 
% 1.18/1.61    'c_HOL_Oabs__class_Oabs'( X ), Y ) ) ) ],
% 1.18/1.61     [ hBOOL( hAPP( 'c_lessequals'( hAPP( 'c_Suc', X ), 'tc_nat' ), hAPP( 
% 1.18/1.61    'c_Suc', Y ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ) )
% 1.18/1.61     ],
% 1.18/1.61     [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP( 
% 1.18/1.61    'c_lessequals'( hAPP( 'c_Suc', X ), 'tc_nat' ), hAPP( 'c_Suc', Y ) ) ) )
% 1.18/1.61     ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.18/1.61    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( 
% 1.18/1.61    'c_HOL_Oinverse__class_Odivide'( hAPP( 'c_HOL_Otimes__class_Otimes'( 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( X ), X ), Y ), Y, X ), 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.61     [ ~( =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( X, 'tc_nat' ), Y ) ) ), =( Y, 
% 1.18/1.61    'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.18/1.61     [ ~( =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( X, 'tc_nat' ), Y ) ) ), =( X, 
% 1.18/1.61    'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( hAPP( 
% 1.18/1.61    'c_HOL_Oabs__class_Oabs'( X ), Y ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), 
% 1.18/1.61    Z ) ) ), 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ],
% 1.18/1.61     [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP( 
% 1.18/1.61    'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.61    'c_HOL_Oord__class_Oless'( Z, X ), Y ) ) ) ],
% 1.18/1.61     [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP( 
% 1.18/1.61    'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.61    'c_HOL_Oord__class_Oless'( Z, X ), Y ) ) ) ],
% 1.18/1.61     [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y
% 1.18/1.61    , X ), Z ) ), hBOOL( hAPP( 'c_lessequals'( Z, X ), Y ) ) ],
% 1.18/1.61     [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), hBOOL( hAPP( 
% 1.18/1.61    'c_lessequals'( Y, 'tc_nat' ), X ) ) ],
% 1.18/1.61     [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( 
% 1.18/1.61    'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.61    'c_HOL_Oord__class_Oless'( Z, X ), Y ) ) ) ],
% 1.18/1.61     [ ~( 'class_Orderings_Oorder'( X ) ), ~( hBOOL( hAPP( 
% 1.18/1.61    'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.61    'c_HOL_Oord__class_Oless'( Z, X ), Y ) ) ) ],
% 1.18/1.61     [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( 'c_Suc', X ) ) ) ]
% 1.18/1.61    ,
% 1.18/1.61     [ ~( =( 'c_GCD_Ogcd__class_Olcm'( X, Y, 'tc_nat' ), 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y, 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.18/1.61     [ ~( hBOOL( hAPP( X, 'c_Nat_Onat_Onat__case'( Y, Z, 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 't_a' ) ) ) ), hBOOL( hAPP( X, Y
% 1.18/1.61     ) ) ],
% 1.18/1.61     [ =( 'c_nat_Onat__size'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.18/1.61     [ =( 'c_String_Ochar_Ochar__size'( X ), 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.61    'tc_nat' ) ) ],
% 1.18/1.61     [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.18/1.61    , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.18/1.61     [ =( 'c_Orderings_Obot__class_Obot'( 'tc_nat' ), 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.18/1.61     [ =( 'c_List_Odrop'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, Y ), X )
% 1.18/1.61     ],
% 1.18/1.61     [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.18/1.61     ), X, 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.18/1.61     [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X, 
% 1.18/1.61    'c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1'( X ) ) ) ), ~( hBOOL( 
% 1.18/1.61    hAPP( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 1.18/1.61     [ hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 1.18/1.61    'tc_nat' ), X ) ) ],
% 1.18/1.61     [ =( 'c_Nat_Osize__class_Osize'( X, 'tc_String_Ochar' ), 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.18/1.61     [ =( X, 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.61    'tc_nat' ), 'tc_nat' ) ) ],
% 1.18/1.61     [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.18/1.61     ), 'tc_nat' ), X ) ],
% 1.18/1.61     [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.18/1.61    , X, 'tc_nat' ), X ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.18/1.61    'c_Ring__and__Field_Odvd__class_Odvd'( Y, hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( Y, X ), Z ), X ), ~( hBOOL( hAPP( 
% 1.18/1.61    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 1.18/1.61    'tc_nat' ), Z ) ) ) ],
% 1.18/1.61     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( Y, X ), hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( Z, 'tc_nat' ), T ) ), hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( hAPP( 'c_Power_Opower__class_Opower'( Y, 
% 1.18/1.61    X ), Z ), X ), T ) ) ],
% 1.18/1.61     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( Y, X ), 'c_HOL_Oone__class_Oone'( 
% 1.18/1.61    'tc_nat' ) ), Y ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( Y, X ), 'c_HOL_Oone__class_Oone'( 
% 1.18/1.61    'tc_nat' ) ), Y ) ],
% 1.18/1.61     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( hAPP( 'c_Power_Opower__class_Opower'( Y, X
% 1.18/1.61     ), Z ), X ), Y ), hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( Y, X ), Z ) ) ) ],
% 1.18/1.61     [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), X ), Y ), 
% 1.18/1.61    'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( 
% 1.18/1.61    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( 
% 1.18/1.61    'c_HOL_Oinverse__class_Oinverse'( X ), hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( Y, X ), Z ) ), hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( hAPP( 'c_HOL_Oinverse__class_Oinverse'( X
% 1.18/1.61     ), Y ), X ), Z ) ) ],
% 1.18/1.61     [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =( hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X
% 1.18/1.61     ), Z ), X ), T ), hAPP( 'c_HOL_Otimes__class_Otimes'( hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( Y, X ), T ), X ), hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( Z, X ), T ) ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X
% 1.18/1.61     ), Z ), X ), T ), hAPP( 'c_HOL_Otimes__class_Otimes'( hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( Y, X ), T ), X ), hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( Z, X ), T ) ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 
% 1.18/1.61    'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.18/1.61     ), X ), T ), 'c_HOL_Oinverse__class_Odivide'( hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( Y, X ), T ), hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( Z, X ), T ), X ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( hAPP( 'c_Power_Opower__class_Opower'( Y, 
% 1.18/1.61    X ), Z ), X ), T ), hAPP( 'c_Power_Opower__class_Opower'( Y, X ), hAPP( 
% 1.18/1.61    'c_HOL_Otimes__class_Otimes'( Z, 'tc_nat' ), T ) ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP( 
% 1.18/1.61    'c_HOL_Oabs__class_Oabs'( X ), hAPP( 'c_Power_Opower__class_Opower'( Y, X
% 1.18/1.61     ), Z ) ), hAPP( 'c_Power_Opower__class_Opower'( hAPP( 
% 1.18/1.61    'c_HOL_Oabs__class_Oabs'( X ), Y ), X ), Z ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), 
% 1.18/1.61    'c_Ring__and__Field_Odvd__class_Odvd'( hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( Y, X ), Z ), hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( T, X ), Z ), X ), ~( 
% 1.18/1.61    'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 1.18/1.61     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), ~( =( hAPP( Y, 
% 1.18/1.61    'c_ATP__Linkup_Osko__Finite__Set__Xsetsum__cong2__1__1'( Z, Y, T, U, X )
% 1.18/1.61     ), hAPP( T, 'c_ATP__Linkup_Osko__Finite__Set__Xsetsum__cong2__1__1'( Z, 
% 1.18/1.61    Y, T, U, X ) ) ) ), =( hAPP( 'c_Finite__Set_Osetsum'( Y, U, X ), Z ), 
% 1.18/1.61    hAPP( 'c_Finite__Set_Osetsum'( T, U, X ), Z ) ) ],
% 1.18/1.61     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), ~( =( hAPP( Y, 
% 1.18/1.61    'c_ATP__Linkup_Osko__Finite__Set__Xsetsum__cong__1__1'( Z, Y, T, U, X ) )
% 1.18/1.61    , hAPP( T, 'c_ATP__Linkup_Osko__Finite__Set__Xsetsum__cong__1__1'( Z, Y, 
% 1.18/1.61    T, U, X ) ) ) ), =( hAPP( 'c_Finite__Set_Osetsum'( Y, U, X ), Z ), hAPP( 
% 1.18/1.61    'c_Finite__Set_Osetsum'( T, U, X ), Z ) ) ],
% 1.18/1.61     [ hBOOL( hAPP( X, Y ) ), ~( 'c_in'( Y, hAPP( 
% 1.18/1.61    'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.61    'tc_nat' ), 'tc_nat' ), Z ), 'tc_nat' ) ), ~( hBOOL( hAPP( X, 
% 1.18/1.61    'c_List_Osko__List__Xall__nat__less__eq__1__1'( X, Z ) ) ) ) ],
% 1.18/1.61     [ hBOOL( hAPP( X, 'c_List_Osko__List__Xex__nat__less__eq__1__2'( X, Y )
% 1.18/1.61     ) ), ~( hBOOL( hAPP( X, Z ) ) ), ~( 'c_in'( Z, hAPP( 
% 1.18/1.61    'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.61    'tc_nat' ), 'tc_nat' ), Y ), 'tc_nat' ) ) ],
% 1.18/1.61     [ ~( 'class_HOL_Oord'( X ) ), ~( 'class_OrderedGroup_Ocomm__monoid__add'( 
% 1.18/1.61    Y ) ), =( hAPP( 'c_Finite__Set_Osetsum'( Z, X, Y ), hAPP( 
% 1.18/1.61    'c_SetInterval_Oord__class_OatLeastLessThan'( T, X ), U ) ), hAPP( 
% 1.18/1.61    'c_Finite__Set_Osetsum'( W, X, Y ), hAPP( 
% 1.18/1.61    'c_SetInterval_Oord__class_OatLeastLessThan'( T, X ), U ) ) ), hBOOL( 
% 1.18/1.61    hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.61    'c_List_Osko__SetInterval__Xsetsum__ivl__cong__1__1'( T, U, Z, W, X, Y )
% 1.18/1.61    , X ), U ) ) ],
% 1.18/1.61     [ ~( 'class_HOL_Oord'( X ) ), ~( 'class_OrderedGroup_Ocomm__monoid__add'( 
% 1.18/1.61    Y ) ), =( hAPP( 'c_Finite__Set_Osetsum'( Z, X, Y ), hAPP( 
% 1.18/1.61    'c_SetInterval_Oord__class_OatLeastLessThan'( T, X ), U ) ), hAPP( 
% 1.18/1.61    'c_Finite__Set_Osetsum'( W, X, Y ), hAPP( 
% 1.18/1.61    'c_SetInterval_Oord__class_OatLeastLessThan'( T, X ), U ) ) ), hBOOL( 
% 1.18/1.61    hAPP( 'c_lessequals'( T, X ), 
% 1.18/1.61    'c_List_Osko__SetInterval__Xsetsum__ivl__cong__1__1'( T, U, Z, W, X, Y )
% 1.18/1.61     ) ) ],
% 1.18/1.61     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( 
% 1.18/1.61    'c_Series_Osuminf'( Y, X ), 'c_SEQ_Olim'( 'c_COMBB'( 
% 1.18/1.61    'c_Finite__Set_Osetsum'( Y, 'tc_nat', X ), 
% 1.18/1.61    'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.61    'tc_nat' ), 'tc_nat' ), 'tc_fun'( 'tc_nat', 'tc_bool' ), X, 'tc_nat' ), X
% 1.18/1.61     ) ) ],
% 1.18/1.61     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'( 
% 1.18/1.61    'c_COMBB'( 'c_Finite__Set_Osetsum'( Y, 'tc_nat', X ), 
% 1.18/1.61    'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.61    'tc_nat' ), 'tc_nat' ), 'tc_fun'( 'tc_nat', 'tc_bool' ), X, 'tc_nat' ), Z
% 1.18/1.61    , X ), ~( 'c_Series_Osums'( Y, Z, X ) ) ],
% 1.18/1.61     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_Series_Osums'( 
% 1.18/1.61    Y, Z, X ), ~( 'c_SEQ_OLIMSEQ'( 'c_COMBB'( 'c_Finite__Set_Osetsum'( Y, 
% 1.18/1.61    'tc_nat', X ), 'c_SetInterval_Oord__class_OatLeastLessThan'( 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), 'tc_fun'( 'tc_nat', 
% 1.18/1.61    'tc_bool' ), X, 'tc_nat' ), Z, X ) ) ],
% 1.18/1.61     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 
% 1.18/1.61    'c_Series_Osummable'( Y, X ), ~( 'c_SEQ_Oconvergent'( 'c_COMBB'( 
% 1.18/1.61    'c_Finite__Set_Osetsum'( Y, 'tc_nat', X ), 
% 1.18/1.61    'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.61    'tc_nat' ), 'tc_nat' ), 'tc_fun'( 'tc_nat', 'tc_bool' ), X, 'tc_nat' ), X
% 1.18/1.61     ) ) ],
% 1.18/1.61     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 
% 1.18/1.61    'c_SEQ_Oconvergent'( 'c_COMBB'( 'c_Finite__Set_Osetsum'( Y, 'tc_nat', X )
% 1.18/1.61    , 'c_SetInterval_Oord__class_OatLeastLessThan'( 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), 'tc_fun'( 'tc_nat', 
% 1.18/1.61    'tc_bool' ), X, 'tc_nat' ), X ), ~( 'c_Series_Osummable'( Y, X ) ) ],
% 1.18/1.61     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 1.18/1.61    'c_List_Olistsum'( Y, X ), hAPP( 'c_Finite__Set_Osetsum'( 'c_List_Onth'( 
% 1.18/1.61    Y, X ), 'tc_nat', X ), hAPP( 'c_SetInterval_Oord__class_OatLeastLessThan'( 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), 
% 1.18/1.61    'c_Nat_Osize__class_Osize'( Y, 'tc_List_Olist'( X ) ) ) ) ) ],
% 1.18/1.61     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_Series_Osums'( 
% 1.18/1.61    Y, hAPP( 'c_Finite__Set_Osetsum'( Y, 'tc_nat', X ), hAPP( 
% 1.18/1.61    'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.61    'tc_nat' ), 'tc_nat' ), Z ) ), X ), hBOOL( hAPP( 'c_lessequals'( Z, 
% 1.18/1.61    'tc_nat' ), 'c_Series_Osko__Series__Xseries__zero__1__1'( Y, Z, X ) ) ) ]
% 1.18/1.61    ,
% 1.18/1.61     [ 'c_Finite__Set_Ofinite'( hAPP( 
% 1.18/1.61    'c_SetInterval_Oord__class_OatLeastLessThan'( X, 'tc_nat' ), Y ), 
% 1.18/1.61    'tc_nat' ) ],
% 1.18/1.61     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( 
% 1.18/1.61    'c_Finite__Set_Osetsum'( Y, 'tc_nat', X ), hAPP( 
% 1.18/1.61    'c_SetInterval_Oord__class_OatLeastLessThan'( hAPP( 'c_Suc', Z ), 
% 1.18/1.61    'tc_nat' ), hAPP( 'c_Suc', T ) ) ), hAPP( 'c_Finite__Set_Osetsum'( 
% 1.18/1.61    'c_COMBB'( Y, 'c_Suc', 'tc_nat', X, 'tc_nat' ), 'tc_nat', X ), hAPP( 
% 1.18/1.61    'c_SetInterval_Oord__class_OatLeastLessThan'( Z, 'tc_nat' ), T ) ) ) ]
% 1.18/1.61    ,
% 1.18/1.61     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( 
% 1.18/1.61    'c_HOL_Oplus__class_Oplus'( hAPP( 'c_Finite__Set_Osetsum'( Y, 'tc_nat', X
% 1.18/1.61     ), hAPP( 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, 'tc_nat' ), T
% 1.18/1.61     ) ), hAPP( 'c_Finite__Set_Osetsum'( Y, 'tc_nat', X ), hAPP( 
% 1.18/1.61    'c_SetInterval_Oord__class_OatLeastLessThan'( T, 'tc_nat' ), U ) ), X ), 
% 1.18/1.61    hAPP( 'c_Finite__Set_Osetsum'( Y, 'tc_nat', X ), hAPP( 
% 1.18/1.61    'c_SetInterval_Oord__class_OatLeastLessThan'( Z, 'tc_nat' ), U ) ) ), ~( 
% 1.18/1.61    hBOOL( hAPP( 'c_lessequals'( T, 'tc_nat' ), U ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.61    'c_lessequals'( Z, 'tc_nat' ), T ) ) ) ],
% 1.18/1.61     [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( 
% 1.18/1.61    'c_HOL_Ominus__class_Ominus'( hAPP( 'c_Finite__Set_Osetsum'( Y, 'tc_nat'
% 1.18/1.61    , X ), hAPP( 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, 'tc_nat' )
% 1.18/1.61    , T ) ), hAPP( 'c_Finite__Set_Osetsum'( Y, 'tc_nat', X ), hAPP( 
% 1.18/1.61    'c_SetInterval_Oord__class_OatLeastLessThan'( Z, 'tc_nat' ), U ) ), X ), 
% 1.18/1.61    hAPP( 'c_Finite__Set_Osetsum'( Y, 'tc_nat', X ), hAPP( 
% 1.18/1.61    'c_SetInterval_Oord__class_OatLeastLessThan'( U, 'tc_nat' ), T ) ) ), ~( 
% 1.18/1.61    hBOOL( hAPP( 'c_lessequals'( U, 'tc_nat' ), T ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.61    'c_lessequals'( Z, 'tc_nat' ), U ) ) ) ],
% 1.18/1.61     [ ~( =( 'c_Complex_Oii', 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.61    'tc_Complex_Ocomplex' ) ) ) ],
% 1.18/1.61     [ ~( =( 'c_Complex_Ocnj'( X ), 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.61    'tc_Complex_Ocomplex' ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.61    'tc_Complex_Ocomplex' ) ) ],
% 1.18/1.61     [ =( 'c_Complex_Ocnj'( 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex'
% 1.18/1.61     ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( 
% 1.18/1.61    'c_Finite__Set_Osetsum'( 'c_Power_Opower__class_Opower'( Y, X ), 'tc_nat'
% 1.18/1.61    , X ), hAPP( 'c_SetInterval_Oord__class_OatLeastLessThan'( 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), Z ) ), 
% 1.18/1.61    'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( Y, X ), Z ), 'c_HOL_Oone__class_Oone'( X
% 1.18/1.61     ), X ), 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Oone__class_Oone'( X ), 
% 1.18/1.61    X ), X ) ), =( Y, 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.18/1.61     [ =( 'c_Complex_Ocnj'( hAPP( 'c_Power_Opower__class_Opower'( X, 
% 1.18/1.61    'tc_Complex_Ocomplex' ), Y ) ), hAPP( 'c_Power_Opower__class_Opower'( 
% 1.18/1.61    'c_Complex_Ocnj'( X ), 'tc_Complex_Ocomplex' ), Y ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( 
% 1.18/1.61    'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( hBOOL( hAPP( 
% 1.18/1.61    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.18/1.61    'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ) ) ) ), hBOOL( hAPP( 
% 1.18/1.61    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y, 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( hBOOL( hAPP( 
% 1.18/1.61    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 1.18/1.61     ) ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 
% 1.18/1.61    'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), hBOOL( hAPP( 
% 1.18/1.61    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( Z, X ), 
% 1.18/1.61    'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ) ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~( 
% 1.18/1.61    'class_Power_Opower'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y
% 1.18/1.61    , 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), X ), 
% 1.18/1.61    'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), 
% 1.18/1.61    'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP( 
% 1.18/1.61    'c_lessequals'( hAPP( 'c_Power_Opower__class_Opower'( Y, X ), Z ), X ), 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X
% 1.18/1.61     ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), 
% 1.18/1.61    'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ), =( Z, 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP( 
% 1.18/1.61    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), 
% 1.18/1.61    'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ), =( Z, 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( hBOOL( hAPP( 
% 1.18/1.61    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( Y, X ), Z ) ) ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( 
% 1.18/1.61    'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.61    'c_lessequals'( hAPP( 'c_Power_Opower__class_Opower'( Z, X ), 
% 1.18/1.61    'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), X ), 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 
% 1.18/1.61    'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), =( Y, 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hBOOL( hAPP( 'c_lessequals'( 
% 1.18/1.61    hAPP( 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.18/1.61     ), Y ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( Y, X ), Z ), hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( T, X ), Z ) ) ), =( Y, T ), ~( hBOOL( 
% 1.18/1.61    hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 1.18/1.61    'tc_nat' ), Z ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.61    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ],
% 1.18/1.61     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( 
% 1.18/1.61    'c_Finite__Set_Osetsum'( Y, 'tc_nat', X ), hAPP( 
% 1.18/1.61    'c_SetInterval_Oord__class_OatLeastLessThan'( Z, 'tc_nat' ), hAPP( 
% 1.18/1.61    'c_Suc', T ) ) ), 'c_HOL_Ozero__class_Ozero'( X ) ), ~( hBOOL( hAPP( 
% 1.18/1.61    'c_HOL_Oord__class_Oless'( T, 'tc_nat' ), Z ) ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =( 
% 1.18/1.61    'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.61    'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.18/1.61     ), X ), T ), 'c_HOL_Oinverse__class_Odivide'( hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( Y, X ), T ), hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( Z, X ), T ), X ) ), =( Z, 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( hAPP( 
% 1.18/1.61    'c_HOL_Oinverse__class_Oinverse'( X ), hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( Y, X ), Z ) ), hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( hAPP( 'c_HOL_Oinverse__class_Oinverse'( X
% 1.18/1.61     ), Y ), X ), Z ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP( 
% 1.18/1.61    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( Y, X ), Z ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.61    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) )
% 1.18/1.61     ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP( 
% 1.18/1.61    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( Y, X ), Z ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.61    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP( 
% 1.18/1.61    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( Y, X ), Z ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.61    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~( 
% 1.18/1.61    'class_Power_Opower'( X ) ), =( hAPP( 'c_Power_Opower__class_Opower'( 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( 'c_Suc', Y ) ), 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP( 
% 1.18/1.61    'c_lessequals'( hAPP( 'c_Power_Opower__class_Opower'( Y, X ), Z ), X ), 
% 1.18/1.61    hAPP( 'c_Power_Opower__class_Opower'( T, X ), Z ) ) ), ~( hBOOL( hAPP( 
% 1.18/1.61    'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ), ~( hBOOL( 
% 1.18/1.61    hAPP( 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP( 
% 1.18/1.61    'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), 
% 1.18/1.61    ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( Y, X ), Z ), X ), 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y, 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X ), 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( Y, X ), Z ), X ), 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( 
% 1.18/1.61    'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( 
% 1.18/1.61    'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.18/1.61     ), ~( =( hAPP( 'c_Power_Opower__class_Opower'( Y, X ), 
% 1.18/1.61    'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.18/1.61     ) ) ],
% 1.18/1.61     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( 
% 1.18/1.61    'c_Finite__Set_Osetsum'( 'c_COMBK'( 'c_HOL_Ozero__class_Ozero'( X ), X, Y
% 1.18/1.61     ), Y, X ), Z ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.61     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( 
% 1.18/1.61    'c_Finite__Set_Osetsum'( Y, Z, X ), 'c_Orderings_Obot__class_Obot'( 
% 1.18/1.61    'tc_fun'( Z, 'tc_bool' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.61     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), ~( =( hAPP( Y, 
% 1.18/1.61    'c_ATP__Linkup_Osko__Finite__Set__Xsetsum__0_H__1__1'( Z, Y, T, X ) ), 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( X ) ) ), =( hAPP( 'c_Finite__Set_Osetsum'( Y
% 1.18/1.61    , T, X ), Z ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.18/1.61     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( 
% 1.18/1.61    'c_Finite__Set_Osetsum'( Y, Z, X ), T ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.18/1.61     ), 'c_Finite__Set_Ofinite'( T, Z ) ],
% 1.18/1.61     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( 
% 1.18/1.61    'c_Finite__Set_Osetsum'( Y, Z, X ), T ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.18/1.61     ), 'c_Finite__Set_Ofinite'( T, Z ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( Y, X ), 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.61    'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.18/1.61     [ ~( 'class_Power_Opower'( X ) ), =( hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( Y, X ), 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.61    'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.18/1.61     [ =( hAPP( 'c_Power_Opower__class_Opower'( 'c_FFT__Mirabelle_Oroot'( 
% 1.18/1.61    hAPP( 'c_HOL_Otimes__class_Otimes'( X, 'tc_nat' ), Y ) ), 
% 1.18/1.61    'tc_Complex_Ocomplex' ), hAPP( 'c_HOL_Otimes__class_Otimes'( X, 'tc_nat'
% 1.18/1.61     ), Z ) ), hAPP( 'c_Power_Opower__class_Opower'( 'c_FFT__Mirabelle_Oroot'( 
% 1.18/1.61    Y ), 'tc_Complex_Ocomplex' ), Z ) ), ~( hBOOL( hAPP( 
% 1.18/1.61    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 
% 1.18/1.61    'tc_nat' ), X ) ) ) ],
% 1.18/1.61     [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~( =( hAPP( Y, 
% 1.18/1.61    'c_Series_Osko__Series__Xseries__zero__1__1'( Y, Z, X ) ), 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( X ) ) ), 'c_Series_Osums'( Y, hAPP( 
% 1.18/1.61    'c_Finite__Set_Osetsum'( Y, 'tc_nat', X ), hAPP( 
% 1.18/1.61    'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.61    'tc_nat' ), 'tc_nat' ), Z ) ), X ) ],
% 1.18/1.61     [ =( hAPP( 'c_SetInterval_Oord__class_OatLeastLessThan'( X, 'tc_nat' ), 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_Orderings_Obot__class_Obot'( 
% 1.18/1.61    'tc_fun'( 'tc_nat', 'tc_bool' ) ) ) ],
% 1.18/1.61     [ =( hAPP( 'c_SetInterval_Oord__class_OatLeastLessThan'( 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), X ), 
% 1.18/1.61    'c_SetInterval_Oord__class_OlessThan'( X, 'tc_nat' ) ) ],
% 1.18/1.61     [ ~( 'class_HOL_Oord'( X ) ), ~( 'class_OrderedGroup_Ocomm__monoid__add'( 
% 1.18/1.61    Y ) ), ~( =( hAPP( Z, 
% 1.18/1.61    'c_List_Osko__SetInterval__Xsetsum__ivl__cong__1__1'( T, U, Z, W, X, Y )
% 1.18/1.61     ), hAPP( W, 'c_List_Osko__SetInterval__Xsetsum__ivl__cong__1__1'( T, U, 
% 1.18/1.61    Z, W, X, Y ) ) ) ), =( hAPP( 'c_Finite__Set_Osetsum'( Z, X, Y ), hAPP( 
% 1.18/1.61    'c_SetInterval_Oord__class_OatLeastLessThan'( T, X ), U ) ), hAPP( 
% 1.18/1.61    'c_Finite__Set_Osetsum'( W, X, Y ), hAPP( 
% 1.18/1.61    'c_SetInterval_Oord__class_OatLeastLessThan'( T, X ), U ) ) ) ],
% 1.18/1.61     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.61    'tc_nat' ), 'tc_nat' ), 'v_k' ) ) ],
% 1.18/1.61     [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'v_k', 'tc_nat' ), 'v_n' ) ) ]
% 1.18/1.61    ,
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( hBOOL( hAPP( 
% 1.18/1.61    'c_lessequals'( hAPP( 'c_Power_Opower__class_Opower'( Y, X ), 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.61    X ) ) ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( 
% 1.18/1.61    'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( 
% 1.18/1.61    'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.18/1.61     ), =( hAPP( 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.61    X ), X ), 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_Int_Onumber__class_Onumber__of'( 
% 1.18/1.61    Y, 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~( 
% 1.18/1.61    'class_Power_Opower'( X ) ), =( hAPP( 'c_Power_Opower__class_Opower'( 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_Int_Onumber__class_Onumber__of'( 
% 1.18/1.61    Y, 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ) ), =( 
% 1.18/1.61    'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~( 
% 1.18/1.61    'class_Power_Opower'( X ) ), =( hAPP( 'c_Power_Opower__class_Opower'( 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.61    'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP( 
% 1.18/1.61    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( Y, X ), 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.61    'tc_nat' ) ) ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( 
% 1.18/1.61    'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( 
% 1.18/1.61    'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.18/1.61     ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( =( hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( Z, X ), 
% 1.18/1.61    'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y, 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( hBOOL( hAPP( 
% 1.18/1.61    'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( 
% 1.18/1.61    'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 1.18/1.61     ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.18/1.61     ],
% 1.18/1.61     [ =( hAPP( 'c_Power_Opower__class_Opower'( 'c_FFT__Mirabelle_Oroot'( X )
% 1.18/1.61    , 'tc_Complex_Ocomplex' ), X ), 'c_HOL_Oone__class_Oone'( 
% 1.18/1.61    'tc_Complex_Ocomplex' ) ) ],
% 1.18/1.61     [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), ~( =( hAPP( Y, 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.18/1.61     ) ), =( hAPP( 'c_Finite__Set_Osetsum'( Y, 'tc_nat', X ), hAPP( 
% 1.18/1.61    'c_SetInterval_Oord__class_OatLeastLessThan'( hAPP( 'c_Suc', 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ), Z ) ), hAPP( 
% 1.18/1.61    'c_Finite__Set_Osetsum'( Y, 'tc_nat', X ), hAPP( 
% 1.18/1.61    'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.61    'tc_nat' ), 'tc_nat' ), Z ) ) ) ],
% 1.18/1.61     [ ~( =( 'c_FFT__Mirabelle_Oroot'( X ), 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.61    'tc_Complex_Ocomplex' ) ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~( 
% 1.18/1.61    'class_Power_Opower'( X ) ), =( hAPP( 'c_Power_Opower__class_Opower'( 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( X ), X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.18/1.61     ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( 
% 1.18/1.61    'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( 
% 1.18/1.61    'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.18/1.61     ), =( hAPP( 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.61    X ), X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~( 
% 1.18/1.61    =( hAPP( 'c_Power_Opower__class_Opower'( Y, X ), Z ), 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.18/1.61     ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( 
% 1.18/1.61    'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( 
% 1.18/1.61    'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.18/1.61     ), ~( =( hAPP( 'c_Power_Opower__class_Opower'( Y, X ), Z ), 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.18/1.61     ) ) ],
% 1.18/1.61     [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( 
% 1.18/1.61    'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( 
% 1.18/1.61    'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.18/1.61     ), ~( =( hAPP( 'c_Power_Opower__class_Opower'( Y, X ), 
% 1.18/1.61    'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.18/1.61     ) ) ],
% 1.18/1.61     [ ~( =( hAPP( 'c_Finite__Set_Osetsum'( 'c_Power_Opower__class_Opower'( 
% 1.18/1.61    hAPP( 'c_Power_Opower__class_Opower'( 'c_FFT__Mirabelle_Oroot'( 'v_n' ), 
% 1.18/1.61    'tc_Complex_Ocomplex' ), 'v_k' ), 'tc_Complex_Ocomplex' ), 'tc_nat', 
% 1.18/1.61    'tc_Complex_Ocomplex' ), hAPP( 
% 1.18/1.61    'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.61    'tc_nat' ), 'tc_nat' ), 'v_n' ) ), 'c_HOL_Ozero__class_Ozero'( 
% 1.18/1.61    'tc_Complex_Ocomplex' ) ) ) ],
% 1.18/1.61     [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_fun'( X, Y ) ), ~( 
% 1.18/1.61    'class_Finite__Set_Ofinite_Ofinite'( Y ) ), ~( 
% 1.18/1.61    'class_Finite__Set_Ofinite_Ofinite'( X ) ) ],
% 1.18/1.61     [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~( 
% 1.18/1.61    'class_Orderings_Opreorder'( Y ) ) ],
% 1.18/1.61     [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~( 
% 1.18/1.61    'class_Orderings_Oorder'( Y ) ) ],
% 1.18/1.61     [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Obot'( 
% 1.18/1.61    Y ) ) ],
% 1.18/1.61     [ 'class_HOL_Oord'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Oord'( Y ) ) ]
% 1.18/1.61    ,
% 1.18/1.61     [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 1.18/1.61     ],
% 1.18/1.61     [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 1.18/1.61     ) ],
% 1.18/1.61     [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 1.18/1.61     ],
% 1.18/1.61     [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_nat' ) ]
% 1.18/1.61    ,
% 1.18/1.61     [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 1.18/1.61     [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 1.18/1.61     [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 1.18/1.61     [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 1.18/1.61     [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 1.18/1.61     [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' ) ],
% 1.18/1.61     [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_nat' ) ],
% 1.18/1.61     [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 1.18/1.61     [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 1.18/1.61     [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 1.18/1.61     [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 1.18/1.61     [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 1.18/1.61     [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 1.18/1.61     [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 1.18/1.61     [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 1.18/1.61     [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 1.18/1.61     [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ],
% 1.18/1.61     [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ],
% 1.18/1.61     [ 'class_Ring__and__Field_Omult__mono1'( 'tc_nat' ) ],
% 1.18/1.61     [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 1.18/1.61     [ 'class_Ring__and__Field_Omult__mono'( 'tc_nat' ) ],
% 1.18/1.61     [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 1.18/1.61     [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 1.18/1.61     [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 1.18/1.61     [ 'class_Nat_Osemiring__char__0'( 'tc_nat' ) ],
% 1.18/1.61     [ 'class_Ring__and__Field_Odvd'( 'tc_nat' ) ],
% 1.18/1.61     [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 1.18/1.61     [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 1.18/1.61     [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 1.18/1.61     [ 'class_Orderings_Obot'( 'tc_nat' ) ],
% 1.18/1.61     [ 'class_Power_Opower'( 'tc_nat' ) ],
% 1.18/1.61     [ 'class_Int_Onumber'( 'tc_nat' ) ],
% 1.18/1.61     [ 'class_HOL_Oord'( 'tc_nat' ) ],
% 1.18/1.61     [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_bool' ) ],
% 1.18/1.61     [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 1.18/1.61     [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 1.18/1.61     [ 'class_Orderings_Obot'( 'tc_bool' ) ],
% 1.18/1.61     [ 'class_HOL_Oord'( 'tc_bool' ) ],
% 1.18/1.61     [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 
% 1.18/1.61    'tc_Int_Oint' ) ],
% 1.18/1.61     [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 
% 1.18/1.61    'tc_Int_Oint' ) ],
% 1.18/1.61     [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 
% 1.18/1.61    'tc_Int_Oint' ) ],
% 1.18/1.61     [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_Int_Oint' )
% 1.18/1.61     ],
% 1.18/1.61     [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'( 'tc_Int_Oint' )
% 1.18/1.61     ],
% 1.18/1.61     [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_Int_Oint' ) ]
% 1.18/1.61    ,
% 1.18/1.61     [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_Int_Oint' ) ]
% 1.18/1.61    ,
% 1.18/1.61     [ 'class_OrderedGroup_Opordered__ab__group__add__abs'( 'tc_Int_Oint' ) ]
% 1.18/1.61    ,
% 1.18/1.61     [ 'class_OrderedGroup_Olordered__ab__group__add__abs'( 'tc_Int_Oint' ) ]
% 1.18/1.61    ,
% 1.18/1.61     [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_Int_Oint' ) ]
% 1.18/1.61    ,
% 1.18/1.61     [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_Int_Oint' ) ]
% 1.18/1.61    ,
% 1.18/1.61     [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_Int_Oint' ) ]
% 1.18/1.61    ,
% 1.18/1.61     [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_Int_Oint' ) ]
% 1.18/1.61    ,
% 1.18/1.61     [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.18/1.61     [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.18/1.61     [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Int_Oint' ) ],
% 1.18/1.61     [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_Int_Oint' ) ],
% 1.18/1.61     [ 'class_Ring__and__Field_Opordered__ring__abs'( 'tc_Int_Oint' ) ],
% 1.18/1.61     [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_Int_Oint' ) ],
% 1.18/1.61     [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Int_Oint' ) ],
% 1.18/1.61     [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_Int_Oint' ) ],
% 1.18/1.61     [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Int_Oint' ) ],
% 1.18/1.61     [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Int_Oint' ) ],
% 1.18/1.61     [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Int_Oint' ) ],
% 1.18/1.61     [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Int_Oint' ) ],
% 1.18/1.61     [ 'class_Ring__and__Field_Opordered__ring'( 'tc_Int_Oint' ) ],
% 1.18/1.61     [ 'class_Ring__and__Field_Olordered__ring'( 'tc_Int_Oint' ) ],
% 1.18/1.61     [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Int_Oint' ) ],
% 1.18/1.61     [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Int_Oint' ) ],
% 1.18/1.61     [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Int_Oint' ) ],
% 1.18/1.61     [ 'class_Ring__and__Field_Oordered__idom'( 'tc_Int_Oint' ) ],
% 1.18/1.61     [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Int_Oint' ) ],
% 1.18/1.61     [ 'class_Ring__and__Field_Osemiring__1'( 'tc_Int_Oint' ) ],
% 1.18/1.61     [ 'class_Ring__and__Field_Osemiring__0'( 'tc_Int_Oint' ) ],
% 1.18/1.61     [ 'class_Ring__and__Field_Omult__mono1'( 'tc_Int_Oint' ) ],
% 1.18/1.61     [ 'class_OrderedGroup_Oab__group__add'( 'tc_Int_Oint' ) ],
% 1.18/1.61     [ 'class_Ring__and__Field_Omult__zero'( 'tc_Int_Oint' ) ],
% 1.18/1.61     [ 'class_Ring__and__Field_Omult__mono'( 'tc_Int_Oint' ) ],
% 1.18/1.61     [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_Int_Oint' ) ],
% 1.18/1.61     [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Int_Oint' ) ],
% 1.18/1.61     [ 'class_Ring__and__Field_Osemiring'( 'tc_Int_Oint' ) ],
% 1.18/1.61     [ 'class_OrderedGroup_Omonoid__add'( 'tc_Int_Oint' ) ],
% 1.18/1.61     [ 'class_OrderedGroup_Ogroup__add'( 'tc_Int_Oint' ) ],
% 1.18/1.61     [ 'class_Ring__and__Field_Oring__1'( 'tc_Int_Oint' ) ],
% 1.18/1.61     [ 'class_Ring__and__Field_Oabs__if'( 'tc_Int_Oint' ) ],
% 1.18/1.61     [ 'class_Ring__and__Field_Oring'( 'tc_Int_Oint' ) ],
% 1.18/1.61     [ 'class_Ring__and__Field_Oidom'( 'tc_Int_Oint' ) ],
% 1.18/1.61     [ 'class_Nat_Osemiring__char__0'( 'tc_Int_Oint' ) ],
% 1.18/1.61     [ 'class_Ring__and__Field_Odvd'( 'tc_Int_Oint' ) ],
% 1.18/1.61     [ 'class_Orderings_Opreorder'( 'tc_Int_Oint' ) ],
% 1.18/1.61     [ 'class_Orderings_Olinorder'( 'tc_Int_Oint' ) ],
% 1.18/1.61     [ 'class_Orderings_Oorder'( 'tc_Int_Oint' ) ],
% 1.18/1.61     [ 'class_Int_Oring__char__0'( 'tc_Int_Oint' ) ],
% 1.18/1.61     [ 'class_Int_Onumber__ring'( 'tc_Int_Oint' ) ],
% 1.18/1.61     [ 'class_Power_Opower'( 'tc_Int_Oint' ) ],
% 1.18/1.61     [ 'class_Int_Onumber'( 'tc_Int_Oint' ) ],
% 1.18/1.61     [ 'class_HOL_Oord'( 'tc_Int_Oint' ) ],
% 1.18/1.61     [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_String_Ochar' ) ],
% 1.18/1.61     [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'( 
% 1.18/1.61    'tc_Complex_Ocomplex' ) ],
% 1.18/1.61     [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 
% 1.18/1.61    'tc_Complex_Ocomplex' ) ],
% 1.18/1.61     [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 
% 1.18/1.61    'tc_Complex_Ocomplex' ) ],
% 1.18/1.61     [ 'class_RealVector_Oreal__normed__div__algebra'( 'tc_Complex_Ocomplex'
% 1.18/1.61     ) ],
% 1.18/1.61     [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Complex_Ocomplex' )
% 1.18/1.61     ],
% 1.18/1.61     [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Complex_Ocomplex' )
% 1.18/1.61     ],
% 1.18/1.61     [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_Complex_Ocomplex' )
% 1.18/1.61     ],
% 1.18/1.61     [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Complex_Ocomplex' ) ]
% 1.18/1.61    ,
% 1.18/1.61     [ 'class_RealVector_Oreal__normed__algebra'( 'tc_Complex_Ocomplex' ) ]
% 1.18/1.61    ,
% 1.18/1.61     [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Complex_Ocomplex' ) ]
% 1.18/1.61    ,
% 1.18/1.61     [ 'class_RealVector_Oreal__normed__vector'( 'tc_Complex_Ocomplex' ) ]
% 1.18/1.61    ,
% 1.18/1.61     [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Complex_Ocomplex' ) ]
% 1.18/1.61    ,
% 1.18/1.61     [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Complex_Ocomplex' ) ]
% 1.18/1.61    ,
% 1.18/1.61     [ 'class_Ring__and__Field_Odivision__ring'( 'tc_Complex_Ocomplex' ) ]
% 1.18/1.61    ,
% 1.18/1.61     [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Complex_Ocomplex' ) ]
% 1.18/1.61    ,
% 1.18/1.61     [ 'class_RealVector_Oreal__normed__field'( 'tc_Complex_Ocomplex' ) ]
% 1.18/1.61    ,
% 1.18/1.61     [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Complex_Ocomplex' ) ]
% 1.18/1.61    ,
% 1.18/1.61     [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Complex_Ocomplex' ) ]
% 1.18/1.61    ,
% 1.18/1.61     [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Complex_Ocomplex' ) ]
% 1.18/1.61    ,
% 1.18/1.61     [ 'class_Ring__and__Field_Osemiring__1'( 'tc_Complex_Ocomplex' ) ],
% 1.18/1.61     [ 'class_Ring__and__Field_Osemiring__0'( 'tc_Complex_Ocomplex' ) ],
% 1.18/1.61     [ 'class_OrderedGroup_Oab__group__add'( 'tc_Complex_Ocomplex' ) ],
% 1.18/1.61     [ 'class_Ring__and__Field_Omult__zero'( 'tc_Complex_Ocomplex' ) ],
% 1.18/1.61     [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_Complex_Ocomplex' ) ],
% 1.18/1.61     [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Complex_Ocomplex' ) ],
% 1.18/1.61     [ 'class_Ring__and__Field_Osemiring'( 'tc_Complex_Ocomplex' ) ],
% 1.18/1.61     [ 'class_RealVector_Ometric__space'( 'tc_Complex_Ocomplex' ) ],
% 1.18/1.61     [ 'class_OrderedGroup_Omonoid__add'( 'tc_Complex_Ocomplex' ) ],
% 1.18/1.61     [ 'class_OrderedGroup_Ogroup__add'( 'tc_Complex_Ocomplex' ) ],
% 1.18/1.61     [ 'class_Ring__and__Field_Oring__1'( 'tc_Complex_Ocomplex' ) ],
% 1.18/1.61     [ 'class_RealVector_Oreal__field'( 'tc_Complex_Ocomplex' ) ],
% 1.18/1.61     [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex' ) ],
% 1.18/1.61     [ 'class_Ring__and__Field_Oring'( 'tc_Complex_Ocomplex' ) ],
% 1.18/1.61     [ 'class_Ring__and__Field_Oidom'( 'tc_Complex_Ocomplex' ) ],
% 1.18/1.61     [ 'class_Nat_Osemiring__char__0'( 'tc_Complex_Ocomplex' ) ],
% 1.18/1.61     [ 'class_Ring__and__Field_Odvd'( 'tc_Complex_Ocomplex' ) ],
% 1.18/1.61     [ 'class_Int_Oring__char__0'( 'tc_Complex_Ocomplex' ) ],
% 1.18/1.61     [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ],
% 1.18/1.61     [ 'class_Power_Opower'( 'tc_Complex_Ocomplex' ) ],
% 1.18/1.61     [ 'class_Int_Onumber'( 'tc_Complex_Ocomplex' ) ],
% 1.18/1.61     [ 'c_fequal'( X, X, Y ) ],
% 1.18/1.61     [ =( X, Y ), ~( 'c_fequal'( X, Y, Z ) ) ]
% 1.18/1.61  ] .
% 1.18/1.61  
% 1.18/1.61  
% 1.18/1.61  percentage equality = 0.187428, percentage horn = 0.810788
% 1.18/1.61  This is a problem with some equality
% 1.18/1.61  
% 1.18/1.61  
% 1.18/1.61  
% 1.18/1.61  Options Used:
% 1.18/1.61  
% 1.18/1.61  useres =            1
% 1.18/1.61  useparamod =        1
% 1.18/1.61  useeqrefl =         1
% 1.18/1.61  useeqfact =         1
% 1.18/1.61  usefactor =         1
% 1.18/1.61  usesimpsplitting =  0
% 1.18/1.61  usesimpdemod =      5
% 1.18/1.61  usesimpres =        3
% 1.18/1.61  
% 1.18/1.61  resimpinuse      =  1000
% 1.18/1.61  resimpclauses =     20000
% 1.18/1.61  substype =          eqrewr
% 1.18/1.61  backwardsubs =      1
% 1.18/1.61  selectoldest =      5
% 1.18/1.61  
% 1.18/1.61  litorderings [0] =  split
% 1.18/1.61  litorderings [1] =  extend the termordering, first sorting on arguments
% 1.18/1.61  
% 1.18/1.61  termordering =      kbo
% 1.18/1.61  
% 1.18/1.61  litapriori =        0
% 1.18/1.61  termapriori =       1
% 1.18/1.61  litaposteriori =    0
% 1.18/1.61  termaposteriori =   0
% 1.18/1.61  demodaposteriori =  0
% 1.18/1.61  ordereqreflfact =   0
% 1.18/1.61  
% 1.18/1.61  litselect =         negord
% 1.18/1.61  
% 1.18/1.61  maxweight =         15
% 1.18/1.61  maxdepth =          30000
% 1.18/1.61  maxlength =         115
% 1.18/1.61  maxnrvars =         195
% 1.18/1.61  excuselevel =       1
% 1.18/1.61  increasemaxweight = 1
% 1.18/1.61  
% 1.18/1.61  maxselected =       10000000
% 1.18/1.61  maxnrclauses =      10000000
% 1.18/1.61  
% 1.18/1.61  showgenerated =    0
% 1.18/1.61  showkept =         0
% 1.18/1.61  showselected =     0
% 1.18/1.61  showdeleted =      0
% 1.18/1.61  showresimp =       1
% 1.18/1.61  showstatus =       2000
% 1.18/1.61  
% 1.18/1.61  prologoutput =     1
% 1.18/1.61  nrgoals =          5000000
% 1.18/1.61  totalproof =       1
% 1.18/1.61  
% 1.18/1.61  Symbols occurring in the translation:
% 1.18/1.61  
% 1.18/1.61  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 1.18/1.61  .  [1, 2]      (w:1, o:162, a:1, s:1, b:0), 
% 1.18/1.61  !  [4, 1]      (w:0, o:75, a:1, s:1, b:0), 
% 1.18/1.61  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 1.18/1.61  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 1.18/1.61  'class_Ring__and__Field_Oordered__semidom'  [40, 1]      (w:1, o:82, a:1
% 1.18/1.61    , s:1, b:0), 
% 1.18/1.61  'c_HOL_Oord__class_Oless'  [42, 2]      (w:1, o:187, a:1, s:1, b:0), 
% 1.18/1.61  'c_HOL_Oplus__class_Oplus'  [45, 3]      (w:1, o:209, a:1, s:1, b:0), 
% 1.18/1.61  hAPP  [46, 2]      (w:1, o:188, a:1, s:1, b:0), 
% 1.18/1.61  hBOOL  [47, 1]      (w:1, o:83, a:1, s:1, b:0), 
% 1.18/1.61  'c_HOL_Ozero__class_Ozero'  [48, 1]      (w:1, o:84, a:1, s:1, b:0), 
% 1.18/1.61  'class_Ring__and__Field_Ocomm__semiring__1'  [49, 1]      (w:1, o:87, a:1
% 1.18/1.61    , s:1, b:0), 
% 1.18/1.61  'c_Ring__and__Field_Odvd__class_Odvd'  [50, 3]      (w:1, o:210, a:1, s:1
% 1.18/1.61    , b:0), 
% 1.18/1.61  'c_HOL_Otimes__class_Otimes'  [51, 2]      (w:1, o:189, a:1, s:1, b:0), 
% 1.18/1.61  'class_OrderedGroup_Ocomm__monoid__add'  [53, 1]      (w:1, o:89, a:1, s:1
% 1.18/1.61    , b:0), 
% 1.18/1.61  'c_Finite__Set_Osetsum'  [55, 3]      (w:1, o:211, a:1, s:1, b:0), 
% 1.18/1.61  'c_ATP__Linkup_Osko__Finite__Set__Xsetsum__cong2__1__1'  [58, 5]      (w:1
% 1.18/1.61    , o:223, a:1, s:1, b:0), 
% 1.18/1.61  'c_in'  [59, 3]      (w:1, o:212, a:1, s:1, b:0), 
% 1.18/1.61  'class_Ring__and__Field_Oordered__semiring__strict'  [60, 1]      (w:1, o:
% 1.18/1.61    90, a:1, s:1, b:0), 
% 1.18/1.61  'class_Ring__and__Field_Oordered__ring__strict'  [61, 1]      (w:1, o:81
% 1.18/1.61    , a:1, s:1, b:0), 
% 1.18/1.61  'c_lessequals'  [62, 2]      (w:1, o:190, a:1, s:1, b:0), 
% 1.18/1.61  'class_Ring__and__Field_Oordered__field'  [63, 1]      (w:1, o:91, a:1, s:1
% 1.18/1.61    , b:0), 
% 1.18/1.61  'class_Ring__and__Field_Odivision__by__zero'  [64, 1]      (w:1, o:93, a:1
% 1.18/1.61    , s:1, b:0), 
% 1.18/1.61  'class_Int_Onumber'  [65, 1]      (w:1, o:95, a:1, s:1, b:0), 
% 1.18/1.61  'c_Int_Onumber__class_Onumber__of'  [67, 2]      (w:1, o:191, a:1, s:1, b:0
% 1.18/1.61    ), 
% 1.18/1.61  'c_HOL_Oinverse__class_Odivide'  [68, 3]      (w:1, o:213, a:1, s:1, b:0), 
% 1.18/1.61    
% 1.18/1.61  'c_HOL_Oone__class_Oone'  [69, 1]      (w:1, o:96, a:1, s:1, b:0), 
% 1.18/1.61  'tc_bool'  [70, 0]      (w:1, o:24, a:1, s:1, b:0), 
% 1.18/1.61  'tc_fun'  [71, 2]      (w:1, o:192, a:1, s:1, b:0), 
% 1.18/1.61  'c_Orderings_Obot__class_Obot'  [72, 1]      (w:1, o:97, a:1, s:1, b:0), 
% 1.18/1.61  'class_Ring__and__Field_Ofield'  [75, 1]      (w:1, o:98, a:1, s:1, b:0), 
% 1.18/1.61  'c_HOL_Oinverse__class_Oinverse'  [76, 1]      (w:1, o:99, a:1, s:1, b:0), 
% 1.18/1.61    
% 1.18/1.61  'class_OrderedGroup_Oab__semigroup__idem__mult'  [77, 1]      (w:1, o:100
% 1.18/1.61    , a:1, s:1, b:0), 
% 1.18/1.61  'class_OrderedGroup_Omonoid__mult'  [79, 1]      (w:1, o:103, a:1, s:1, b:0
% 1.18/1.61    ), 
% 1.18/1.61  'c_Power_Opower__class_Opower'  [80, 2]      (w:1, o:193, a:1, s:1, b:0), 
% 1.18/1.61  'c_Suc'  [81, 0]      (w:1, o:31, a:1, s:1, b:0), 
% 1.18/1.61  'tc_nat'  [84, 0]      (w:1, o:38, a:1, s:1, b:0), 
% 1.18/1.61  'c_HOL_Ominus__class_Ominus'  [85, 3]      (w:1, o:214, a:1, s:1, b:0), 
% 1.18/1.61  'c_SetInterval_Oord__class_OatLeastLessThan'  [88, 2]      (w:1, o:194, a:1
% 1.18/1.61    , s:1, b:0), 
% 1.18/1.61  'c_List_Osko__List__Xall__nat__less__eq__1__1'  [89, 2]      (w:1, o:195
% 1.18/1.61    , a:1, s:1, b:0), 
% 1.18/1.61  'class_Ring__and__Field_Opordered__ring__abs'  [91, 1]      (w:1, o:107, a:
% 1.18/1.61    1, s:1, b:0), 
% 1.18/1.61  'c_HOL_Oabs__class_Oabs'  [92, 1]      (w:1, o:108, a:1, s:1, b:0), 
% 1.18/1.61  'class_Ring__and__Field_Oordered__idom'  [93, 1]      (w:1, o:104, a:1, s:1
% 1.18/1.61    , b:0), 
% 1.18/1.61  'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'  [94, 1]      
% 1.18/1.61    (w:1, o:109, a:1, s:1, b:0), 
% 1.18/1.61  'class_OrderedGroup_Opordered__ab__semigroup__add'  [95, 1]      (w:1, o:
% 1.18/1.61    110, a:1, s:1, b:0), 
% 1.18/1.61  'class_Ring__and__Field_Oidom'  [98, 1]      (w:1, o:111, a:1, s:1, b:0), 
% 1.18/1.61  'class_Ring__and__Field_Omult__mono1'  [99, 1]      (w:1, o:113, a:1, s:1
% 1.18/1.61    , b:0), 
% 1.18/1.61  'class_Ring__and__Field_Omult__mono'  [100, 1]      (w:1, o:114, a:1, s:1
% 1.18/1.61    , b:0), 
% 1.18/1.61  'class_Ring__and__Field_Opordered__ring'  [101, 1]      (w:1, o:115, a:1
% 1.18/1.61    , s:1, b:0), 
% 1.18/1.61  'class_Int_Onumber__ring'  [104, 1]      (w:1, o:116, a:1, s:1, b:0), 
% 1.18/1.61  'class_Ring__and__Field_Odivision__ring'  [105, 1]      (w:1, o:117, a:1
% 1.18/1.61    , s:1, b:0), 
% 1.18/1.61  'class_Orderings_Oorder'  [106, 1]      (w:1, o:118, a:1, s:1, b:0), 
% 1.18/1.61  'c_Parity_Oeven__odd__class_Oeven'  [107, 2]      (w:1, o:196, a:1, s:1, b:
% 1.18/1.61    0), 
% 1.18/1.61  'class_Ring__and__Field_Osemiring__1'  [108, 1]      (w:1, o:124, a:1, s:1
% 1.18/1.61    , b:0), 
% 1.18/1.61  'c_Nat_Osemiring__1__class_Oof__nat'  [109, 2]      (w:1, o:197, a:1, s:1
% 1.18/1.61    , b:0), 
% 1.18/1.61  'class_OrderedGroup_Opordered__ab__group__add'  [110, 1]      (w:1, o:125
% 3.34/3.67    , a:1, s:1, b:0), 
% 3.34/3.67  'class_Ring__and__Field_Odvd'  [113, 1]      (w:1, o:126, a:1, s:1, b:0), 
% 3.34/3.67  'class_Ring__and__Field_Ocomm__ring'  [114, 1]      (w:1, o:85, a:1, s:1
% 3.34/3.67    , b:0), 
% 3.34/3.67  'class_Orderings_Olinorder'  [117, 1]      (w:1, o:127, a:1, s:1, b:0), 
% 3.34/3.67  'class_Ring__and__Field_Opordered__cancel__semiring'  [118, 1]      (w:1
% 3.34/3.67    , o:128, a:1, s:1, b:0), 
% 3.34/3.67  'class_OrderedGroup_Opordered__ab__group__add__abs'  [119, 1]      (w:1, o:
% 3.34/3.67    129, a:1, s:1, b:0), 
% 3.34/3.67  'class_OrderedGroup_Oab__semigroup__mult'  [120, 1]      (w:1, o:130, a:1
% 3.34/3.67    , s:1, b:0), 
% 3.34/3.67  'class_RealVector_Oreal__normed__algebra'  [125, 1]      (w:1, o:131, a:1
% 3.34/3.67    , s:1, b:0), 
% 3.34/3.67  'class_RealVector_Ometric__space'  [130, 1]      (w:1, o:132, a:1, s:1, b:0
% 3.34/3.67    ), 
% 3.34/3.67  'c_SEQ_OLIMSEQ'  [132, 3]      (w:1, o:215, a:1, s:1, b:0), 
% 3.34/3.67  'c_List_Odrop'  [134, 3]      (w:1, o:216, a:1, s:1, b:0), 
% 3.34/3.67  'c_List_Onth'  [135, 2]      (w:1, o:198, a:1, s:1, b:0), 
% 3.34/3.67  'tc_List_Olist'  [136, 1]      (w:1, o:133, a:1, s:1, b:0), 
% 3.34/3.67  'c_Nat_Osize__class_Osize'  [137, 2]      (w:1, o:199, a:1, s:1, b:0), 
% 3.34/3.67  'v_n'  [138, 0]      (w:1, o:55, a:1, s:1, b:0), 
% 3.34/3.67  'class_OrderedGroup_Olordered__ab__group__add__abs'  [139, 1]      (w:1, o:
% 3.34/3.67    101, a:1, s:1, b:0), 
% 3.34/3.67  'c_SetInterval_Oord__class_OlessThan'  [140, 2]      (w:1, o:200, a:1, s:1
% 3.34/3.67    , b:0), 
% 3.34/3.67  'class_OrderedGroup_Opordered__comm__monoid__add'  [141, 1]      (w:1, o:
% 3.34/3.67    134, a:1, s:1, b:0), 
% 3.34/3.67  'c_COMBB'  [142, 5]      (w:1, o:224, a:1, s:1, b:0), 
% 3.34/3.67  'c_Nat_Onat_Onat__case'  [146, 4]      (w:1, o:221, a:1, s:1, b:0), 
% 3.34/3.67  'class_OrderedGroup_Olordered__ab__group__add'  [147, 1]      (w:1, o:102
% 3.34/3.67    , a:1, s:1, b:0), 
% 3.34/3.67  'class_RealVector_Oreal__normed__field'  [149, 1]      (w:1, o:135, a:1, s:
% 3.34/3.67    1, b:0), 
% 3.34/3.67  'class_Ring__and__Field_Ocomm__ring__1'  [151, 1]      (w:1, o:86, a:1, s:1
% 3.34/3.67    , b:0), 
% 3.34/3.67  'class_Ring__and__Field_Oordered__semiring'  [152, 1]      (w:1, o:105, a:1
% 3.34/3.67    , s:1, b:0), 
% 3.34/3.67  'class_Nat_Osemiring__char__0'  [153, 1]      (w:1, o:88, a:1, s:1, b:0), 
% 3.34/3.67  'c_Finite__Set_Ofinite'  [154, 2]      (w:1, o:201, a:1, s:1, b:0), 
% 3.34/3.67  'c_List_Osko__List__Xex__nat__less__eq__1__2'  [155, 2]      (w:1, o:202
% 3.34/3.67    , a:1, s:1, b:0), 
% 3.34/3.67  'class_Ring__and__Field_Oring'  [156, 1]      (w:1, o:119, a:1, s:1, b:0), 
% 3.34/3.67    
% 3.34/3.67  'class_Ring__and__Field_Ocomm__semiring'  [158, 1]      (w:1, o:92, a:1, s:
% 3.34/3.67    1, b:0), 
% 3.34/3.67  'class_Ring__and__Field_Opordered__semiring'  [160, 1]      (w:1, o:136, a:
% 3.34/3.67    1, s:1, b:0), 
% 3.34/3.67  'c_nat_Onat__size'  [161, 1]      (w:1, o:137, a:1, s:1, b:0), 
% 3.34/3.67  'c_Series_Osuminf'  [162, 2]      (w:1, o:203, a:1, s:1, b:0), 
% 3.34/3.67  'c_Series_Osummable'  [163, 2]      (w:1, o:204, a:1, s:1, b:0), 
% 3.34/3.67  'class_OrderedGroup_Ocancel__ab__semigroup__add'  [164, 1]      (w:1, o:138
% 3.34/3.67    , a:1, s:1, b:0), 
% 3.34/3.67  'class_OrderedGroup_Ocancel__semigroup__add'  [165, 1]      (w:1, o:139, a:
% 3.34/3.67    1, s:1, b:0), 
% 3.34/3.67  'class_HOL_Oord'  [167, 1]      (w:1, o:94, a:1, s:1, b:0), 
% 3.34/3.67  'class_Orderings_Obot'  [168, 1]      (w:1, o:140, a:1, s:1, b:0), 
% 3.34/3.67  'c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1'  [169, 1]      (w:1
% 3.34/3.67    , o:141, a:1, s:1, b:0), 
% 3.34/3.67  'class_Ring__and__Field_Olordered__ring'  [170, 1]      (w:1, o:112, a:1
% 3.34/3.67    , s:1, b:0), 
% 3.34/3.67  'class_OrderedGroup_Ocomm__monoid__mult'  [171, 1]      (w:1, o:142, a:1
% 3.34/3.67    , s:1, b:0), 
% 3.34/3.67  'class_OrderedGroup_Ogroup__add'  [172, 1]      (w:1, o:143, a:1, s:1, b:0)
% 3.34/3.67    , 
% 3.34/3.67  'class_Power_Opower'  [173, 1]      (w:1, o:149, a:1, s:1, b:0), 
% 3.34/3.67  'class_Orderings_Opreorder'  [174, 1]      (w:1, o:144, a:1, s:1, b:0), 
% 3.34/3.67  't_a'  [175, 0]      (w:1, o:58, a:1, s:1, b:0), 
% 3.34/3.67  'class_Ring__and__Field_Osemiring__0'  [176, 1]      (w:1, o:123, a:1, s:1
% 3.34/3.67    , b:0), 
% 3.34/3.67  'c_SEQ_Olim'  [177, 2]      (w:1, o:205, a:1, s:1, b:0), 
% 3.34/3.67  'class_OrderedGroup_Oab__group__add'  [181, 1]      (w:1, o:145, a:1, s:1
% 3.34/3.67    , b:0), 
% 3.34/3.67  'c_GCD_Ogcd__class_Olcm'  [182, 3]      (w:1, o:208, a:1, s:1, b:0), 
% 3.34/3.67  'class_RealVector_Oreal__field'  [184, 1]      (w:1, o:150, a:1, s:1, b:0)
% 3.34/3.67    , 
% 3.34/3.67  'c_Series_Osums'  [186, 3]      (w:1, o:217, a:1, s:1, b:0), 
% 3.34/3.67  'c_ATP__Linkup_Osko__Finite__Set__Xsetsum__cong__1__1'  [187, 5]      (w:1
% 3.34/3.67    , o:225, a:1, s:1, b:0), 
% 3.34/3.67  'class_RealVector_Oreal__normed__vector'  [188, 1]      (w:1, o:151, a:1
% 3.34/3.67    , s:1, b:0), 
% 3.34/3.67  'class_OrderedGroup_Oab__semigroup__add'  [189, 1]      (w:1, o:146, a:1
% 18.89/19.26    , s:1, b:0), 
% 18.89/19.26  'c_COMBK'  [193, 3]      (w:1, o:218, a:1, s:1, b:0), 
% 18.89/19.26  'class_Ring__and__Field_Osemiring'  [194, 1]      (w:1, o:152, a:1, s:1, b:
% 18.89/19.26    0), 
% 18.89/19.26  'class_Int_Oring__char__0'  [195, 1]      (w:1, o:153, a:1, s:1, b:0), 
% 18.89/19.26  'c_SEQ_Oconvergent'  [196, 2]      (w:1, o:206, a:1, s:1, b:0), 
% 18.89/19.26  'c_Complex_Ocnj'  [197, 1]      (w:1, o:154, a:1, s:1, b:0), 
% 18.89/19.26  'c_Complex_Oii'  [198, 0]      (w:1, o:66, a:1, s:1, b:0), 
% 18.89/19.26  'tc_Complex_Ocomplex'  [199, 0]      (w:1, o:67, a:1, s:1, b:0), 
% 18.89/19.26  'class_RealVector_Oreal__normed__div__algebra'  [202, 1]      (w:1, o:155
% 18.89/19.26    , a:1, s:1, b:0), 
% 18.89/19.26  'class_Finite__Set_Ofinite_Ofinite'  [203, 1]      (w:1, o:156, a:1, s:1
% 18.89/19.26    , b:0), 
% 18.89/19.26  'class_Ring__and__Field_Oordered__comm__semiring__strict'  [204, 1]      
% 18.89/19.26    (w:1, o:106, a:1, s:1, b:0), 
% 18.89/19.26  'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'  [205, 1]      
% 18.89/19.26    (w:1, o:147, a:1, s:1, b:0), 
% 18.89/19.26  'class_Ring__and__Field_Oring__no__zero__divisors'  [206, 1]      (w:1, o:
% 18.89/19.26    120, a:1, s:1, b:0), 
% 18.89/19.26  'class_Ring__and__Field_Omult__zero'  [207, 1]      (w:1, o:157, a:1, s:1
% 18.89/19.26    , b:0), 
% 18.89/19.26  'class_Ring__and__Field_Ozero__neq__one'  [208, 1]      (w:1, o:158, a:1
% 18.89/19.26    , s:1, b:0), 
% 18.89/19.26  'class_Ring__and__Field_Ono__zero__divisors'  [209, 1]      (w:1, o:80, a:1
% 18.89/19.26    , s:1, b:0), 
% 18.89/19.26  'class_OrderedGroup_Omonoid__add'  [210, 1]      (w:1, o:148, a:1, s:1, b:0
% 18.89/19.26    ), 
% 18.89/19.26  'c_ATP__Linkup_Osko__Finite__Set__Xsetsum__0_H__1__1'  [211, 4]      (w:1
% 18.89/19.26    , o:222, a:1, s:1, b:0), 
% 18.89/19.26  'class_Ring__and__Field_Oabs__if'  [212, 1]      (w:1, o:159, a:1, s:1, b:0
% 18.89/19.26    ), 
% 18.89/19.26  'class_Ring__and__Field_Oring__1'  [213, 1]      (w:1, o:121, a:1, s:1, b:0
% 18.89/19.26    ), 
% 18.89/19.26  'c_String_Ochar_Ochar__size'  [214, 1]      (w:1, o:160, a:1, s:1, b:0), 
% 18.89/19.26  'tc_String_Ochar'  [215, 0]      (w:1, o:69, a:1, s:1, b:0), 
% 18.89/19.26  'c_List_Osko__SetInterval__Xsetsum__ivl__cong__1__1'  [216, 6]      (w:1
% 18.89/19.26    , o:226, a:1, s:1, b:0), 
% 18.89/19.26  'c_List_Olistsum'  [217, 2]      (w:1, o:207, a:1, s:1, b:0), 
% 18.89/19.26  'c_Series_Osko__Series__Xseries__zero__1__1'  [218, 3]      (w:1, o:219, a:
% 18.89/19.26    1, s:1, b:0), 
% 18.89/19.26  'c_FFT__Mirabelle_Oroot'  [219, 1]      (w:1, o:161, a:1, s:1, b:0), 
% 18.89/19.26  'v_k'  [220, 0]      (w:1, o:70, a:1, s:1, b:0), 
% 18.89/19.26  'class_Ring__and__Field_Oring__1__no__zero__divisors'  [221, 1]      (w:1
% 18.89/19.26    , o:122, a:1, s:1, b:0), 
% 18.89/19.26  'tc_Int_Oint'  [224, 0]      (w:1, o:73, a:1, s:1, b:0), 
% 18.89/19.26  'c_fequal'  [225, 3]      (w:1, o:220, a:1, s:1, b:0).
% 18.89/19.26  
% 18.89/19.26  
% 18.89/19.26  Starting Search:
% 18.89/19.26  
% 18.89/19.26  Resimplifying inuse:
% 18.89/19.26  Done
% 18.89/19.26  
% 18.89/19.26  
% 18.89/19.26  Intermediate Status:
% 18.89/19.26  Generated:    4950
% 18.89/19.26  Kept:         2370
% 18.89/19.26  Inuse:        235
% 18.89/19.26  Deleted:      11
% 18.89/19.26  Deletedinuse: 0
% 18.89/19.26  
% 18.89/19.26  Resimplifying inuse:
% 18.89/19.26  Done
% 18.89/19.26  
% 18.89/19.26  Resimplifying inuse:
% 18.89/19.26  Done
% 18.89/19.26  
% 18.89/19.26  
% 18.89/19.26  Intermediate Status:
% 18.89/19.26  Generated:    15299
% 18.89/19.26  Kept:         4659
% 18.89/19.26  Inuse:        280
% 18.89/19.26  Deleted:      11
% 18.89/19.26  Deletedinuse: 0
% 18.89/19.26  
% 18.89/19.26  Resimplifying inuse:
% 18.89/19.26  Done
% 18.89/19.26  
% 18.89/19.26  Resimplifying inuse:
% 18.89/19.26  Done
% 18.89/19.26  
% 18.89/19.26  
% 18.89/19.26  Intermediate Status:
% 18.89/19.26  Generated:    20717
% 18.89/19.26  Kept:         6769
% 18.89/19.26  Inuse:        323
% 18.89/19.26  Deleted:      13
% 18.89/19.26  Deletedinuse: 0
% 18.89/19.26  
% 18.89/19.26  Resimplifying inuse:
% 18.89/19.26  Done
% 18.89/19.26  
% 18.89/19.26  Resimplifying inuse:
% 18.89/19.26  Done
% 18.89/19.26  
% 18.89/19.26  
% 18.89/19.26  Intermediate Status:
% 18.89/19.26  Generated:    27514
% 18.89/19.26  Kept:         8783
% 18.89/19.26  Inuse:        417
% 18.89/19.26  Deleted:      13
% 18.89/19.26  Deletedinuse: 0
% 18.89/19.26  
% 18.89/19.26  Resimplifying inuse:
% 18.89/19.26  Done
% 18.89/19.26  
% 18.89/19.26  
% 18.89/19.26  Intermediate Status:
% 18.89/19.26  Generated:    38382
% 18.89/19.26  Kept:         12179
% 18.89/19.26  Inuse:        425
% 18.89/19.26  Deleted:      13
% 18.89/19.26  Deletedinuse: 0
% 18.89/19.26  
% 18.89/19.26  Resimplifying inuse:
% 18.89/19.26  Done
% 18.89/19.26  
% 18.89/19.26  
% 18.89/19.26  Intermediate Status:
% 18.89/19.26  Generated:    45687
% 18.89/19.26  Kept:         14603
% 18.89/19.26  Inuse:        486
% 18.89/19.26  Deleted:      20
% 18.89/19.26  Deletedinuse: 0
% 18.89/19.26  
% 18.89/19.26  Resimplifying inuse:
% 18.89/19.26  Done
% 18.89/19.26  
% 18.89/19.26  Resimplifying inuse:
% 18.89/19.26  Done
% 18.89/19.26  
% 18.89/19.26  
% 18.89/19.26  Intermediate Status:
% 18.89/19.26  Generated:    54019
% 18.89/19.26  Kept:         17768
% 18.89/19.26  Inuse:        496
% 18.89/19.26  Deleted:      20
% 18.89/19.26  Deletedinuse: 0
% 18.89/19.26  
% 18.89/19.26  Resimplifying inuse:
% 18.89/19.26  Done
% 18.89/19.26  
% 18.89/19.26  Resimplifying inuse:
% 18.89/19.26  Done
% 18.89/19.26  
% 18.89/19.26  
% 18.89/19.26  Intermediate Status:
% 18.89/19.26  Generated:    67774
% 18.89/19.26  Kept:         21943
% 18.89/19.26  Inuse:        541
% 18.89/19.26  Deleted:      20
% 18.89/19.26  Deletedinuse: 0
% 18.89/19.26  
% 18.89/19.26  Resimplifying inuse:
% 18.89/19.26  Done
% 18.89/19.26  
% 18.89/19.26  Resimplifying clauses:
% 18.89/19.26  Done
% 18.89/19.26  
% 18.89/19.26  Resimplifying inuse:
% 18.89/19.26  Done
% 18.89/19.26  
% 18.89/19.26  
% 18.89/19.26  Intermediate Status:
% 18.89/19.26  Generated:    75531
% 18.89/19.26  Kept:         23956
% 18.89/19.26  Inuse:        616
% 18.89/19.26  Deleted:      352
% 18.89/19.26  Deletedinuse: 1
% 18.89/19.26  
% 18.89/19.26  Resimplifying inuse:
% 18.89/19.26  Done
% 18.89/19.26  
% 18.89/19.26  
% 18.89/19.26  Intermediate Status:
% 18.89/19.26  Generated:    86061
% 18.89/19.26  Kept:         25991
% 18.89/19.26  Inuse:        631
% 18.89/19.26  Deleted:      352
% 18.89/19.26  Deletedinuse: 1
% 18.89/19.26  
% 18.89/19.26  Resimplifying inuse:
% 18.89/19.26  Done
% 18.89/19.26  
% 18.89/19.26  Resimplifying inuse:
% 18.89/19.26  Done
% 18.89/19.26  
% 18.89/19.26  
% 18.89/19.26  Intermediate Status:
% 18.89/19.26  Generated:    102299
% 18.89/19.26  Kept:         28886
% 50.76/51.10  Inuse:        646
% 50.76/51.10  Deleted:      352
% 50.76/51.10  Deletedinuse: 1
% 50.76/51.10  
% 50.76/51.10  Resimplifying inuse:
% 50.76/51.10  Done
% 50.76/51.10  
% 50.76/51.10  
% 50.76/51.10  Intermediate Status:
% 50.76/51.10  Generated:    112942
% 50.76/51.10  Kept:         31773
% 50.76/51.10  Inuse:        671
% 50.76/51.10  Deleted:      352
% 50.76/51.10  Deletedinuse: 1
% 50.76/51.10  
% 50.76/51.10  Resimplifying inuse:
% 50.76/51.10  Done
% 50.76/51.10  
% 50.76/51.10  Resimplifying inuse:
% 50.76/51.10  Done
% 50.76/51.10  
% 50.76/51.10  
% 50.76/51.10  Intermediate Status:
% 50.76/51.10  Generated:    118683
% 50.76/51.10  Kept:         33916
% 50.76/51.10  Inuse:        696
% 50.76/51.10  Deleted:      352
% 50.76/51.10  Deletedinuse: 1
% 50.76/51.10  
% 50.76/51.10  Resimplifying inuse:
% 50.76/51.10  Done
% 50.76/51.10  
% 50.76/51.10  Resimplifying inuse:
% 50.76/51.10  Done
% 50.76/51.10  
% 50.76/51.10  
% 50.76/51.10  Intermediate Status:
% 50.76/51.10  Generated:    127837
% 50.76/51.10  Kept:         36021
% 50.76/51.10  Inuse:        751
% 50.76/51.10  Deleted:      352
% 50.76/51.10  Deletedinuse: 1
% 50.76/51.10  
% 50.76/51.10  Resimplifying inuse:
% 50.76/51.10  Done
% 50.76/51.10  
% 50.76/51.10  Resimplifying inuse:
% 50.76/51.10  Done
% 50.76/51.10  
% 50.76/51.10  
% 50.76/51.10  Intermediate Status:
% 50.76/51.10  Generated:    136411
% 50.76/51.10  Kept:         38226
% 50.76/51.10  Inuse:        796
% 50.76/51.10  Deleted:      352
% 50.76/51.10  Deletedinuse: 1
% 50.76/51.10  
% 50.76/51.10  Resimplifying inuse:
% 50.76/51.10  Done
% 50.76/51.10  
% 50.76/51.10  Resimplifying inuse:
% 50.76/51.10  Done
% 50.76/51.10  
% 50.76/51.10  
% 50.76/51.10  Intermediate Status:
% 50.76/51.10  Generated:    149995
% 50.76/51.10  Kept:         41456
% 50.76/51.10  Inuse:        831
% 50.76/51.10  Deleted:      352
% 50.76/51.10  Deletedinuse: 1
% 50.76/51.10  
% 50.76/51.10  Resimplifying inuse:
% 50.76/51.10  Done
% 50.76/51.10  
% 50.76/51.10  Resimplifying inuse:
% 50.76/51.10  Done
% 50.76/51.10  
% 50.76/51.10  Resimplifying clauses:
% 50.76/51.10  Done
% 50.76/51.10  
% 50.76/51.10  
% 50.76/51.10  Intermediate Status:
% 50.76/51.10  Generated:    163934
% 50.76/51.10  Kept:         44548
% 50.76/51.10  Inuse:        851
% 50.76/51.10  Deleted:      484
% 50.76/51.10  Deletedinuse: 1
% 50.76/51.10  
% 50.76/51.10  Resimplifying inuse:
% 50.76/51.10  Done
% 50.76/51.10  
% 50.76/51.10  Resimplifying inuse:
% 50.76/51.10  Done
% 50.76/51.10  
% 50.76/51.10  
% 50.76/51.10  Intermediate Status:
% 50.76/51.10  Generated:    171539
% 50.76/51.10  Kept:         46571
% 50.76/51.10  Inuse:        880
% 50.76/51.10  Deleted:      484
% 50.76/51.10  Deletedinuse: 1
% 50.76/51.10  
% 50.76/51.10  Resimplifying inuse:
% 50.76/51.10  Done
% 50.76/51.10  
% 50.76/51.10  Resimplifying inuse:
% 50.76/51.10  Done
% 50.76/51.10  
% 50.76/51.10  
% 50.76/51.10  Intermediate Status:
% 50.76/51.10  Generated:    177712
% 50.76/51.10  Kept:         48937
% 50.76/51.10  Inuse:        896
% 50.76/51.10  Deleted:      484
% 50.76/51.10  Deletedinuse: 1
% 50.76/51.10  
% 50.76/51.10  Resimplifying inuse:
% 50.76/51.10  Done
% 50.76/51.10  
% 50.76/51.10  
% 50.76/51.10  Intermediate Status:
% 50.76/51.10  Generated:    188355
% 50.76/51.10  Kept:         51765
% 50.76/51.10  Inuse:        911
% 50.76/51.10  Deleted:      484
% 50.76/51.10  Deletedinuse: 1
% 50.76/51.10  
% 50.76/51.10  Resimplifying inuse:
% 50.76/51.10  Done
% 50.76/51.10  
% 50.76/51.10  Resimplifying inuse:
% 50.76/51.10  Done
% 50.76/51.10  
% 50.76/51.10  
% 50.76/51.10  Intermediate Status:
% 50.76/51.10  Generated:    196075
% 50.76/51.10  Kept:         53839
% 50.76/51.10  Inuse:        946
% 50.76/51.10  Deleted:      484
% 50.76/51.10  Deletedinuse: 1
% 50.76/51.10  
% 50.76/51.10  Resimplifying inuse:
% 50.76/51.10  Done
% 50.76/51.10  
% 50.76/51.10  Resimplifying inuse:
% 50.76/51.10  Done
% 50.76/51.10  
% 50.76/51.10  
% 50.76/51.10  Intermediate Status:
% 50.76/51.10  Generated:    207848
% 50.76/51.10  Kept:         56265
% 50.76/51.10  Inuse:        971
% 50.76/51.10  Deleted:      490
% 50.76/51.10  Deletedinuse: 2
% 50.76/51.10  
% 50.76/51.10  Resimplifying inuse:
% 50.76/51.10  Done
% 50.76/51.10  
% 50.76/51.10  Resimplifying inuse:
% 50.76/51.10  Done
% 50.76/51.10  
% 50.76/51.10  
% 50.76/51.10  Intermediate Status:
% 50.76/51.10  Generated:    226158
% 50.76/51.10  Kept:         61023
% 50.76/51.10  Inuse:        991
% 50.76/51.10  Deleted:      503
% 50.76/51.10  Deletedinuse: 5
% 50.76/51.10  
% 50.76/51.10  Resimplifying inuse:
% 50.76/51.10  Done
% 50.76/51.10  
% 50.76/51.10  
% 50.76/51.10  Intermediate Status:
% 50.76/51.10  Generated:    244366
% 50.76/51.10  Kept:         64453
% 50.76/51.10  Inuse:        1001
% 50.76/51.10  Deleted:      503
% 50.76/51.10  Deletedinuse: 5
% 50.76/51.10  
% 50.76/51.10  Resimplifying inuse:
% 50.76/51.10  Done
% 50.76/51.10  
% 50.76/51.10  Resimplifying clauses:
% 50.76/51.10  Done
% 50.76/51.10  
% 50.76/51.10  
% 50.76/51.10  Intermediate Status:
% 50.76/51.10  Generated:    250951
% 50.76/51.10  Kept:         66530
% 50.76/51.10  Inuse:        1011
% 50.76/51.10  Deleted:      1133
% 50.76/51.10  Deletedinuse: 5
% 50.76/51.10  
% 50.76/51.10  Resimplifying inuse:
% 50.76/51.10  Done
% 50.76/51.10  
% 50.76/51.10  Resimplifying inuse:
% 50.76/51.10  Done
% 50.76/51.10  
% 50.76/51.10  
% 50.76/51.10  Intermediate Status:
% 50.76/51.10  Generated:    261794
% 50.76/51.10  Kept:         70040
% 50.76/51.10  Inuse:        1021
% 50.76/51.10  Deleted:      1133
% 50.76/51.10  Deletedinuse: 5
% 50.76/51.10  
% 50.76/51.10  Resimplifying inuse:
% 50.76/51.10  Done
% 50.76/51.10  
% 50.76/51.10  Resimplifying inuse:
% 50.76/51.10  Done
% 50.76/51.10  
% 50.76/51.10  
% 50.76/51.10  Intermediate Status:
% 50.76/51.10  Generated:    278792
% 50.76/51.10  Kept:         72307
% 50.76/51.10  Inuse:        1041
% 50.76/51.10  Deleted:      1133
% 50.76/51.10  Deletedinuse: 5
% 50.76/51.10  
% 50.76/51.10  Resimplifying inuse:
% 50.76/51.10  Done
% 50.76/51.10  
% 50.76/51.10  Resimplifying inuse:
% 50.76/51.10  Done
% 50.76/51.10  
% 50.76/51.10  
% 50.76/51.10  Intermediate Status:
% 50.76/51.10  Generated:    289911
% 50.76/51.10  Kept:         74760
% 50.76/51.10  Inuse:        1061
% 50.76/51.10  Deleted:      1133
% 50.76/51.10  Deletedinuse: 5
% 50.76/51.10  
% 50.76/51.10  Resimplifying inuse:
% 50.76/51.10  Done
% 50.76/51.10  
% 50.76/51.10  Resimplifying inuse:
% 50.76/51.10  Done
% 50.76/51.10  
% 50.76/51.10  
% 50.76/51.10  Intermediate Status:
% 50.76/51.10  Generated:    301047
% 50.76/51.10  Kept:         77180
% 50.76/51.10  Inuse:        1081
% 50.76/51.10  Deleted:      1133
% 50.76/51.10  Deletedinuse: 5
% 50.76/51.10  
% 50.76/51.10  Resimplifying inuse:
% 50.76/51.10  Done
% 50.76/51.10  
% 50.76/51.10  Resimplifying inuse:
% 50.76/51.10  Done
% 50.76/51.10  
% 50.76/51.10  
% 50.76/51.10  Intermediate Status:
% 50.76/51.10  Generated:    314464
% 50.76/51.10  Kept:         80491
% 50.76/51.10  Inuse:        1116
% 50.76/51.10  Deleted:      1133
% 50.76/51.10  Deletedinuse: 5
% 50.76/51.10  
% 50.76/51.10  Resimplifying inuse:
% 50.76/51.10  Done
% 50.76/51.10  
% 50.76/51.10  Resimplifying inuse:
% 50.76/51.10  Done
% 50.76/51.10  
% 50.76/51.10  
% 50.76/51.10  Intermediate Status:
% 50.76/51.10  Generated:    322974
% 50.76/51.10  Kept:         82993
% 50.76/51.10  Inuse:        1136
% 50.76/51.10  Deleted:      1133
% 50.76/51.10  Deletedinuse: 5
% 50.76/51.10  
% 50.76/51.10  Resimplifying inuse:
% 50.76/51.10  Done
% 50.76/51.10  
% 50.76/51.10  Resimplifying inuse:
% 50.76/51.10  Done
% 50.76/51.10  
% 50.76/51.10  Resimplifying clauses:
% 50.76/51.10  Done
% 50.76/51.10  
% 50.76/51.10  
% 50.76/51.10  Intermediate Status:
% 50.76/51.10  Generated:    330476
% 50.76/51.10  Kept:         85063
% 50.76/51.10  Inuse:        1156
% 50.76/51.10  Deleted:      1272
% 50.76/51.10  Deletedinuse: 5
% 50.76/51.10  
% 50.76/51.10  Resimplifying inuse:
% 50.76/51.10  Done
% 50.76/51.10  
% 50.76/51.10  
% 50.76/51.10  Intermediate Status:
% 50.76/51.10  Generated:    353762
% 50.76/51.10  Kept:         89126
% 50.76/51.10  Inuse:        1166
% 50.76/51.10  Deleted:      1272
% 50.76/51.10  Deletedinuse: 5
% 50.76/51.10  
% 50.76/51.10  Resimplifying inuse:
% 50.76/51.10  Done
% 50.76/51.10  
% 50.76/51.10  Resimplifying inuse:
% 50.76/51.10  Done
% 50.76/51.10  
% 50.76/51.10  
% 50.76/51.10  Intermediate Status:
% 50.76/51.10  Generated:    365053
% 50.76/51.10  Kept:         92400
% 50.76/51.10  Inuse:        1186
% 50.76/51.10  Deleted:      1272
% 50.76/51.10  Deletedinuse: 5
% 50.76/51.10  
% 50.76/51.10  Resimplifying inuse:
% 50.76/51.10  Done
% 50.76/51.10  
% 50.76/51.10  Resimplifying inuse:
% 50.76/51.10  Done
% 50.76/51.10  
% 50.76/51.10  
% 50.76/51.10  Intermediate Status:
% 50.76/51.10  Generated:    378552
% 50.76/51.10  Kept:         94411
% 50.76/51.10  Inuse:        1220
% 50.76/51.10  Deleted:      1272
% 114.44/114.85  Deletedinuse: 5
% 114.44/114.85  
% 114.44/114.85  Resimplifying inuse:
% 114.44/114.85  Done
% 114.44/114.85  
% 114.44/114.85  Resimplifying inuse:
% 114.44/114.85  Done
% 114.44/114.85  
% 114.44/114.85  
% 114.44/114.85  Intermediate Status:
% 114.44/114.85  Generated:    388421
% 114.44/114.85  Kept:         96824
% 114.44/114.85  Inuse:        1236
% 114.44/114.85  Deleted:      1272
% 114.44/114.85  Deletedinuse: 5
% 114.44/114.85  
% 114.44/114.85  
% 114.44/114.85  Intermediate Status:
% 114.44/114.85  Generated:    402207
% 114.44/114.85  Kept:         99843
% 114.44/114.85  Inuse:        1246
% 114.44/114.85  Deleted:      1272
% 114.44/114.85  Deletedinuse: 5
% 114.44/114.85  
% 114.44/114.85  Resimplifying inuse:
% 114.44/114.85  Done
% 114.44/114.85  
% 114.44/114.85  
% 114.44/114.85  Intermediate Status:
% 114.44/114.85  Generated:    414996
% 114.44/114.85  Kept:         102741
% 114.44/114.85  Inuse:        1251
% 114.44/114.85  Deleted:      1272
% 114.44/114.85  Deletedinuse: 5
% 114.44/114.85  
% 114.44/114.85  Resimplifying inuse:
% 114.44/114.85  Done
% 114.44/114.85  
% 114.44/114.85  Resimplifying inuse:
% 114.44/114.85  Done
% 114.44/114.85  
% 114.44/114.85  Resimplifying clauses:
% 114.44/114.85  Done
% 114.44/114.85  
% 114.44/114.85  
% 114.44/114.85  Intermediate Status:
% 114.44/114.85  Generated:    438314
% 114.44/114.85  Kept:         106468
% 114.44/114.85  Inuse:        1261
% 114.44/114.85  Deleted:      1352
% 114.44/114.85  Deletedinuse: 5
% 114.44/114.85  
% 114.44/114.85  Resimplifying inuse:
% 114.44/114.85  Done
% 114.44/114.85  
% 114.44/114.85  Resimplifying inuse:
% 114.44/114.85  Done
% 114.44/114.85  
% 114.44/114.85  
% 114.44/114.85  Intermediate Status:
% 114.44/114.85  Generated:    461809
% 114.44/114.85  Kept:         110256
% 114.44/114.85  Inuse:        1271
% 114.44/114.85  Deleted:      1352
% 114.44/114.85  Deletedinuse: 5
% 114.44/114.85  
% 114.44/114.85  Resimplifying inuse:
% 114.44/114.85  Done
% 114.44/114.85  
% 114.44/114.85  Resimplifying inuse:
% 114.44/114.85  Done
% 114.44/114.85  
% 114.44/114.85  
% 114.44/114.85  Intermediate Status:
% 114.44/114.85  Generated:    471029
% 114.44/114.85  Kept:         112863
% 114.44/114.85  Inuse:        1291
% 114.44/114.85  Deleted:      1352
% 114.44/114.85  Deletedinuse: 5
% 114.44/114.85  
% 114.44/114.85  Resimplifying inuse:
% 114.44/114.85  Done
% 114.44/114.85  
% 114.44/114.85  Resimplifying inuse:
% 114.44/114.85  Done
% 114.44/114.85  
% 114.44/114.85  
% 114.44/114.85  Intermediate Status:
% 114.44/114.85  Generated:    478287
% 114.44/114.85  Kept:         115633
% 114.44/114.85  Inuse:        1306
% 114.44/114.85  Deleted:      1352
% 114.44/114.85  Deletedinuse: 5
% 114.44/114.85  
% 114.44/114.85  Resimplifying inuse:
% 114.44/114.85  Done
% 114.44/114.85  
% 114.44/114.85  Resimplifying inuse:
% 114.44/114.85  Done
% 114.44/114.85  
% 114.44/114.85  
% 114.44/114.85  Intermediate Status:
% 114.44/114.85  Generated:    488408
% 114.44/114.85  Kept:         117954
% 114.44/114.85  Inuse:        1331
% 114.44/114.85  Deleted:      1352
% 114.44/114.85  Deletedinuse: 5
% 114.44/114.85  
% 114.44/114.85  Resimplifying inuse:
% 114.44/114.85  Done
% 114.44/114.85  
% 114.44/114.85  Resimplifying inuse:
% 114.44/114.85  Done
% 114.44/114.85  
% 114.44/114.85  
% 114.44/114.85  Intermediate Status:
% 114.44/114.85  Generated:    496573
% 114.44/114.85  Kept:         120029
% 114.44/114.85  Inuse:        1351
% 114.44/114.85  Deleted:      1353
% 114.44/114.85  Deletedinuse: 6
% 114.44/114.85  
% 114.44/114.85  Resimplifying inuse:
% 114.44/114.85  Done
% 114.44/114.85  
% 114.44/114.85  Resimplifying inuse:
% 114.44/114.85  Done
% 114.44/114.85  
% 114.44/114.85  
% 114.44/114.85  Intermediate Status:
% 114.44/114.85  Generated:    507805
% 114.44/114.85  Kept:         122448
% 114.44/114.85  Inuse:        1381
% 114.44/114.85  Deleted:      1353
% 114.44/114.85  Deletedinuse: 6
% 114.44/114.85  
% 114.44/114.85  Resimplifying inuse:
% 114.44/114.85  Done
% 114.44/114.85  
% 114.44/114.85  Resimplifying inuse:
% 114.44/114.85  Done
% 114.44/114.85  
% 114.44/114.85  
% 114.44/114.85  Intermediate Status:
% 114.44/114.85  Generated:    516863
% 114.44/114.85  Kept:         124913
% 114.44/114.85  Inuse:        1401
% 114.44/114.85  Deleted:      1353
% 114.44/114.85  Deletedinuse: 6
% 114.44/114.85  
% 114.44/114.85  Resimplifying inuse:
% 114.44/114.85  Done
% 114.44/114.85  
% 114.44/114.85  Resimplifying clauses:
% 114.44/114.85  Done
% 114.44/114.85  
% 114.44/114.85  Resimplifying inuse:
% 114.44/114.85  Done
% 114.44/114.85  
% 114.44/114.85  
% 114.44/114.85  Intermediate Status:
% 114.44/114.85  Generated:    524122
% 114.44/114.85  Kept:         127032
% 114.44/114.85  Inuse:        1411
% 114.44/114.85  Deleted:      1697
% 114.44/114.85  Deletedinuse: 6
% 114.44/114.85  
% 114.44/114.85  Resimplifying inuse:
% 114.44/114.85  Done
% 114.44/114.85  
% 114.44/114.85  Resimplifying inuse:
% 114.44/114.85  Done
% 114.44/114.85  
% 114.44/114.85  
% 114.44/114.85  Intermediate Status:
% 114.44/114.85  Generated:    531617
% 114.44/114.85  Kept:         129201
% 114.44/114.85  Inuse:        1426
% 114.44/114.85  Deleted:      1697
% 114.44/114.85  Deletedinuse: 6
% 114.44/114.85  
% 114.44/114.85  Resimplifying inuse:
% 114.44/114.85  Done
% 114.44/114.85  
% 114.44/114.85  Resimplifying inuse:
% 114.44/114.85  Done
% 114.44/114.85  
% 114.44/114.85  
% 114.44/114.85  Intermediate Status:
% 114.44/114.85  Generated:    544386
% 114.44/114.85  Kept:         131943
% 114.44/114.85  Inuse:        1446
% 114.44/114.85  Deleted:      1697
% 114.44/114.85  Deletedinuse: 6
% 114.44/114.85  
% 114.44/114.85  Resimplifying inuse:
% 114.44/114.85  Done
% 114.44/114.85  
% 114.44/114.85  Resimplifying inuse:
% 114.44/114.85  Done
% 114.44/114.85  
% 114.44/114.85  
% 114.44/114.85  Intermediate Status:
% 114.44/114.85  Generated:    558957
% 114.44/114.85  Kept:         135785
% 114.44/114.85  Inuse:        1456
% 114.44/114.85  Deleted:      1697
% 114.44/114.85  Deletedinuse: 6
% 114.44/114.85  
% 114.44/114.85  Resimplifying inuse:
% 114.44/114.85  Done
% 114.44/114.85  
% 114.44/114.85  Resimplifying inuse:
% 114.44/114.85  Done
% 114.44/114.85  
% 114.44/114.85  
% 114.44/114.85  Intermediate Status:
% 114.44/114.85  Generated:    570527
% 114.44/114.85  Kept:         137808
% 114.44/114.85  Inuse:        1496
% 114.44/114.85  Deleted:      1697
% 114.44/114.85  Deletedinuse: 6
% 114.44/114.85  
% 114.44/114.85  Resimplifying inuse:
% 114.44/114.85  Done
% 114.44/114.85  
% 114.44/114.85  Resimplifying inuse:
% 114.44/114.85  Done
% 114.44/114.85  
% 114.44/114.85  
% 114.44/114.85  Intermediate Status:
% 114.44/114.85  Generated:    581123
% 114.44/114.85  Kept:         139832
% 114.44/114.85  Inuse:        1521
% 114.44/114.85  Deleted:      1697
% 114.44/114.85  Deletedinuse: 6
% 114.44/114.85  
% 114.44/114.85  Resimplifying inuse:
% 114.44/114.85  Done
% 114.44/114.85  
% 114.44/114.85  Resimplifying inuse:
% 114.44/114.85  Done
% 114.44/114.85  
% 114.44/114.85  
% 114.44/114.85  Intermediate Status:
% 114.44/114.85  Generated:    593994
% 114.44/114.85  Kept:         142299
% 114.44/114.85  Inuse:        1556
% 114.44/114.85  Deleted:      1697
% 114.44/114.85  Deletedinuse: 6
% 114.44/114.85  
% 114.44/114.85  Resimplifying inuse:
% 114.44/114.85  Done
% 114.44/114.85  
% 114.44/114.85  Resimplifying inuse:
% 114.44/114.85  Done
% 114.44/114.85  
% 114.44/114.85  
% 114.44/114.85  Intermediate Status:
% 114.44/114.85  Generated:    606041
% 114.44/114.85  Kept:         144571
% 114.44/114.85  Inuse:        1591
% 114.44/114.85  Deleted:      1697
% 114.44/114.85  Deletedinuse: 6
% 114.44/114.85  
% 114.44/114.85  Resimplifying inuse:
% 114.44/114.85  Done
% 114.44/114.85  
% 114.44/114.85  Resimplifying clauses:
% 114.44/114.85  Done
% 114.44/114.85  
% 114.44/114.85  Resimplifying inuse:
% 114.44/114.85  Done
% 114.44/114.85  
% 114.44/114.85  
% 114.44/114.85  Intermediate Status:
% 114.44/114.85  Generated:    617133
% 114.44/114.85  Kept:         146792
% 114.44/114.85  Inuse:        1621
% 114.44/114.85  Deleted:      2034
% 114.44/114.85  Deletedinuse: 6
% 114.44/114.85  
% 114.44/114.85  Resimplifying inuse:
% 114.44/114.85  Done
% 114.44/114.85  
% 114.44/114.85  Resimplifying inuse:
% 114.44/114.85  Done
% 114.44/114.85  
% 114.44/114.85  
% 114.44/114.85  Intermediate Status:
% 114.44/114.85  Generated:    628744
% 114.44/114.85  Kept:         149264
% 114.44/114.85  Inuse:        1651
% 114.44/114.85  Deleted:      2034
% 114.44/114.85  Deletedinuse: 6
% 114.44/114.85  
% 114.44/114.85  Resimplifying inuse:
% 114.44/114.85  Done
% 114.44/114.85  
% 114.44/114.85  
% 114.44/114.85  Intermediate Status:
% 114.44/114.85  Generated:    660192
% 114.44/114.85  Kept:         155009
% 114.44/114.85  Inuse:        1661
% 114.44/114.85  Deleted:      2034
% 114.44/114.85  Deletedinuse: 6
% 114.44/114.85  
% 114.44/114.85  Resimplifying inuse:
% 114.44/114.85  Done
% 114.44/114.85  
% 114.44/114.85  Resimplifying inuse:
% 114.44/114.85  Done
% 114.44/114.85  
% 114.44/114.85  
% 114.44/114.85  Intermediate Status:
% 114.44/114.85  Generated:    668266
% 114.44/114.85  Kept:         157200
% 114.44/114.85  Inuse:        1676
% 114.44/114.85  Deleted:      2034
% 114.44/114.85  Deletedinuse: 6
% 114.44/114.85  
% 114.44/114.85  Resimplifying inuse:
% 114.44/114.85  Done
% 114.44/114.85  
% 114.44/114.85  Resimplifying inuse:
% 114.44/114.85  Done
% 114.44/114.85  
% 114.44/114.85  
% 114.44/114.85  Intermediate Status:
% 114.44/114.85  Generated:    678273
% 114.44/114.85  Kept:         160045
% 189.41/189.80  Inuse:        1691
% 189.41/189.80  Deleted:      2034
% 189.41/189.80  Deletedinuse: 6
% 189.41/189.80  
% 189.41/189.80  Resimplifying inuse:
% 189.41/189.80  Done
% 189.41/189.80  
% 189.41/189.80  
% 189.41/189.80  Intermediate Status:
% 189.41/189.80  Generated:    692223
% 189.41/189.80  Kept:         165155
% 189.41/189.80  Inuse:        1716
% 189.41/189.80  Deleted:      2034
% 189.41/189.80  Deletedinuse: 6
% 189.41/189.80  
% 189.41/189.80  Resimplifying inuse:
% 189.41/189.80  Done
% 189.41/189.80  
% 189.41/189.80  Resimplifying clauses:
% 189.41/189.80  Done
% 189.41/189.80  
% 189.41/189.80  
% 189.41/189.80  Intermediate Status:
% 189.41/189.80  Generated:    706080
% 189.41/189.80  Kept:         168600
% 189.41/189.80  Inuse:        1726
% 189.41/189.80  Deleted:      2410
% 189.41/189.80  Deletedinuse: 6
% 189.41/189.80  
% 189.41/189.80  Resimplifying inuse:
% 189.41/189.80  Done
% 189.41/189.80  
% 189.41/189.80  
% 189.41/189.80  Intermediate Status:
% 189.41/189.80  Generated:    719784
% 189.41/189.80  Kept:         172231
% 189.41/189.80  Inuse:        1741
% 189.41/189.80  Deleted:      2410
% 189.41/189.80  Deletedinuse: 6
% 189.41/189.80  
% 189.41/189.80  Resimplifying inuse:
% 189.41/189.80  Done
% 189.41/189.80  
% 189.41/189.80  
% 189.41/189.80  Intermediate Status:
% 189.41/189.80  Generated:    731167
% 189.41/189.80  Kept:         175109
% 189.41/189.80  Inuse:        1746
% 189.41/189.80  Deleted:      2413
% 189.41/189.80  Deletedinuse: 9
% 189.41/189.80  
% 189.41/189.80  Resimplifying inuse:
% 189.41/189.80  Done
% 189.41/189.80  
% 189.41/189.80  
% 189.41/189.80  Intermediate Status:
% 189.41/189.80  Generated:    741060
% 189.41/189.80  Kept:         177866
% 189.41/189.80  Inuse:        1751
% 189.41/189.80  Deleted:      2413
% 189.41/189.80  Deletedinuse: 9
% 189.41/189.80  
% 189.41/189.80  Resimplifying inuse:
% 189.41/189.80  Done
% 189.41/189.80  
% 189.41/189.80  Resimplifying inuse:
% 189.41/189.80  Done
% 189.41/189.80  
% 189.41/189.80  
% 189.41/189.80  Intermediate Status:
% 189.41/189.80  Generated:    759005
% 189.41/189.80  Kept:         180589
% 189.41/189.80  Inuse:        1771
% 189.41/189.80  Deleted:      2418
% 189.41/189.80  Deletedinuse: 14
% 189.41/189.80  
% 189.41/189.80  Resimplifying inuse:
% 189.41/189.80  Done
% 189.41/189.80  
% 189.41/189.80  Resimplifying inuse:
% 189.41/189.80  Done
% 189.41/189.80  
% 189.41/189.80  
% 189.41/189.80  Intermediate Status:
% 189.41/189.80  Generated:    767633
% 189.41/189.80  Kept:         182764
% 189.41/189.80  Inuse:        1786
% 189.41/189.80  Deleted:      2420
% 189.41/189.80  Deletedinuse: 16
% 189.41/189.80  
% 189.41/189.80  Resimplifying inuse:
% 189.41/189.80  Done
% 189.41/189.80  
% 189.41/189.80  Resimplifying inuse:
% 189.41/189.80  Done
% 189.41/189.80  
% 189.41/189.80  
% 189.41/189.80  Intermediate Status:
% 189.41/189.80  Generated:    776796
% 189.41/189.80  Kept:         185050
% 189.41/189.80  Inuse:        1806
% 189.41/189.80  Deleted:      2420
% 189.41/189.80  Deletedinuse: 16
% 189.41/189.80  
% 189.41/189.80  Resimplifying inuse:
% 189.41/189.80  Done
% 189.41/189.80  
% 189.41/189.80  Resimplifying clauses:
% 189.41/189.80  Done
% 189.41/189.80  
% 189.41/189.80  
% 189.41/189.80  Intermediate Status:
% 189.41/189.80  Generated:    788637
% 189.41/189.80  Kept:         190035
% 189.41/189.80  Inuse:        1816
% 189.41/189.80  Deleted:      2659
% 189.41/189.80  Deletedinuse: 16
% 189.41/189.80  
% 189.41/189.80  Resimplifying inuse:
% 189.41/189.80  Done
% 189.41/189.80  
% 189.41/189.80  
% 189.41/189.80  Intermediate Status:
% 189.41/189.80  Generated:    797030
% 189.41/189.80  Kept:         194318
% 189.41/189.80  Inuse:        1821
% 189.41/189.80  Deleted:      2659
% 189.41/189.80  Deletedinuse: 16
% 189.41/189.80  
% 189.41/189.80  Resimplifying inuse:
% 189.41/189.80  Done
% 189.41/189.80  
% 189.41/189.80  Resimplifying inuse:
% 189.41/189.80  Done
% 189.41/189.80  
% 189.41/189.80  
% 189.41/189.80  Intermediate Status:
% 189.41/189.80  Generated:    805882
% 189.41/189.80  Kept:         196554
% 189.41/189.80  Inuse:        1841
% 189.41/189.80  Deleted:      2659
% 189.41/189.80  Deletedinuse: 16
% 189.41/189.80  
% 189.41/189.80  Resimplifying inuse:
% 189.41/189.80  Done
% 189.41/189.80  
% 189.41/189.80  Resimplifying inuse:
% 189.41/189.80  Done
% 189.41/189.80  
% 189.41/189.80  
% 189.41/189.80  Intermediate Status:
% 189.41/189.80  Generated:    815226
% 189.41/189.80  Kept:         198555
% 189.41/189.80  Inuse:        1860
% 189.41/189.80  Deleted:      2659
% 189.41/189.80  Deletedinuse: 16
% 189.41/189.80  
% 189.41/189.80  Resimplifying inuse:
% 189.41/189.80  Done
% 189.41/189.80  
% 189.41/189.80  Resimplifying inuse:
% 189.41/189.80  Done
% 189.41/189.80  
% 189.41/189.80  
% 189.41/189.80  Intermediate Status:
% 189.41/189.80  Generated:    824326
% 189.41/189.80  Kept:         201156
% 189.41/189.80  Inuse:        1881
% 189.41/189.80  Deleted:      2659
% 189.41/189.80  Deletedinuse: 16
% 189.41/189.80  
% 189.41/189.80  Resimplifying inuse:
% 189.41/189.80  Done
% 189.41/189.80  
% 189.41/189.80  Resimplifying inuse:
% 189.41/189.80  Done
% 189.41/189.80  
% 189.41/189.80  
% 189.41/189.80  Intermediate Status:
% 189.41/189.80  Generated:    836178
% 189.41/189.80  Kept:         203485
% 189.41/189.80  Inuse:        1916
% 189.41/189.80  Deleted:      2659
% 189.41/189.80  Deletedinuse: 16
% 189.41/189.80  
% 189.41/189.80  Resimplifying inuse:
% 189.41/189.80  Done
% 189.41/189.80  
% 189.41/189.80  Resimplifying inuse:
% 189.41/189.80  Done
% 189.41/189.80  
% 189.41/189.80  
% 189.41/189.80  Intermediate Status:
% 189.41/189.80  Generated:    851553
% 189.41/189.80  Kept:         205604
% 189.41/189.80  Inuse:        1956
% 189.41/189.80  Deleted:      2659
% 189.41/189.80  Deletedinuse: 16
% 189.41/189.80  
% 189.41/189.80  Resimplifying inuse:
% 189.41/189.80  Done
% 189.41/189.80  
% 189.41/189.80  Resimplifying clauses:
% 189.41/189.80  Done
% 189.41/189.80  
% 189.41/189.80  Resimplifying inuse:
% 189.41/189.80  Done
% 189.41/189.80  
% 189.41/189.80  
% 189.41/189.80  Intermediate Status:
% 189.41/189.80  Generated:    860806
% 189.41/189.80  Kept:         207610
% 189.41/189.80  Inuse:        1978
% 189.41/189.80  Deleted:      4110
% 189.41/189.80  Deletedinuse: 16
% 189.41/189.80  
% 189.41/189.80  Resimplifying inuse:
% 189.41/189.80  Done
% 189.41/189.80  
% 189.41/189.80  Resimplifying inuse:
% 189.41/189.80  Done
% 189.41/189.80  
% 189.41/189.80  
% 189.41/189.80  Intermediate Status:
% 189.41/189.80  Generated:    873547
% 189.41/189.80  Kept:         210396
% 189.41/189.80  Inuse:        2006
% 189.41/189.80  Deleted:      4110
% 189.41/189.80  Deletedinuse: 16
% 189.41/189.80  
% 189.41/189.80  
% 189.41/189.80  Intermediate Status:
% 189.41/189.80  Generated:    884210
% 189.41/189.80  Kept:         214052
% 189.41/189.80  Inuse:        2011
% 189.41/189.80  Deleted:      4110
% 189.41/189.80  Deletedinuse: 16
% 189.41/189.80  
% 189.41/189.80  Resimplifying inuse:
% 189.41/189.80  Done
% 189.41/189.80  
% 189.41/189.80  Resimplifying inuse:
% 189.41/189.80  Done
% 189.41/189.80  
% 189.41/189.80  
% 189.41/189.80  Intermediate Status:
% 189.41/189.80  Generated:    893772
% 189.41/189.80  Kept:         216287
% 189.41/189.80  Inuse:        2026
% 189.41/189.80  Deleted:      4110
% 189.41/189.80  Deletedinuse: 16
% 189.41/189.80  
% 189.41/189.80  Resimplifying inuse:
% 189.41/189.80  Done
% 189.41/189.80  
% 189.41/189.80  
% 189.41/189.80  Intermediate Status:
% 189.41/189.80  Generated:    906619
% 189.41/189.80  Kept:         220598
% 189.41/189.80  Inuse:        2036
% 189.41/189.80  Deleted:      4110
% 189.41/189.80  Deletedinuse: 16
% 189.41/189.80  
% 189.41/189.80  Resimplifying inuse:
% 189.41/189.80  Done
% 189.41/189.80  
% 189.41/189.80  
% 189.41/189.80  Intermediate Status:
% 189.41/189.80  Generated:    916493
% 189.41/189.80  Kept:         224215
% 189.41/189.80  Inuse:        2041
% 189.41/189.80  Deleted:      4110
% 189.41/189.80  Deletedinuse: 16
% 189.41/189.80  
% 189.41/189.80  Resimplifying inuse:
% 189.41/189.80  Done
% 189.41/189.80  
% 189.41/189.80  Resimplifying inuse:
% 189.41/189.80  Done
% 189.41/189.80  
% 189.41/189.80  
% 189.41/189.80  Intermediate Status:
% 189.41/189.80  Generated:    925768
% 189.41/189.80  Kept:         226460
% 189.41/189.80  Inuse:        2056
% 189.41/189.80  Deleted:      4110
% 189.41/189.80  Deletedinuse: 16
% 189.41/189.80  
% 189.41/189.80  Resimplifying clauses:
% 189.41/189.80  Done
% 189.41/189.80  
% 189.41/189.80  Resimplifying inuse:
% 189.41/189.80  Done
% 189.41/189.80  
% 189.41/189.80  
% 189.41/189.80  Intermediate Status:
% 189.41/189.80  Generated:    956860
% 189.41/189.80  Kept:         230281
% 189.41/189.80  Inuse:        2071
% 189.41/189.80  Deleted:      4642
% 189.41/189.80  Deletedinuse: 16
% 189.41/189.80  
% 189.41/189.80  Resimplifying inuse:
% 189.41/189.80  Done
% 189.41/189.80  
% 189.41/189.80  
% 189.41/189.80  Intermediate Status:
% 189.41/189.80  Generated:    982332
% 189.41/189.80  Kept:         233741
% 189.41/189.80  Inuse:        2081
% 189.41/189.80  Deleted:      4642
% 189.41/189.80  Deletedinuse: 16
% 189.41/189.80  
% 189.41/189.80  Resimplifying inuse:
% 189.41/189.80  Done
% 189.41/189.80  
% 189.41/189.80  Resimplifying inuse:
% 189.41/189.80  Done
% 189.41/189.80  
% 189.41/189.80  
% 189.41/189.80  Intermediate Status:
% 189.41/189.80  Generated:    990991Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------