TSTP Solution File: SWV693-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV693-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n032.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 16:27:49 EDT 2022
% Result : Timeout 300.02s 300.42s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : SWV693-1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.11 % Command : bliksem %s
% 0.10/0.30 % Computer : n032.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % DateTime : Thu Jun 16 06:00:59 EDT 2022
% 0.10/0.30 % CPUTime :
% 1.30/1.66 *** allocated 10000 integers for termspace/termends
% 1.30/1.66 *** allocated 10000 integers for clauses
% 1.30/1.66 *** allocated 10000 integers for justifications
% 1.30/1.66 *** allocated 15000 integers for termspace/termends
% 1.30/1.66 *** allocated 22500 integers for termspace/termends
% 1.30/1.66 *** allocated 33750 integers for termspace/termends
% 1.30/1.66 *** allocated 50625 integers for termspace/termends
% 1.30/1.66 Bliksem 1.12
% 1.30/1.66
% 1.30/1.66
% 1.30/1.66 Automatic Strategy Selection
% 1.30/1.66
% 1.30/1.66 Clauses:
% 1.30/1.66 [
% 1.30/1.66 [ hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.30/1.66 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( Y, 'tc_nat' ), Z ) ) ) ],
% 1.30/1.66 [ hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.30/1.66 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( Y, 'tc_nat' ), Z ) ) ) ],
% 1.30/1.66 [ hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.30/1.66 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( X, 'tc_nat' ), Z ) ) ) ],
% 1.30/1.66 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( 'c_Suc',
% 1.30/1.66 Y ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) )
% 1.30/1.66 ) ],
% 1.30/1.66 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), ~( hBOOL(
% 1.30/1.66 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', X ), 'tc_nat' ), Y ) ) )
% 1.30/1.66 ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =( hAPP(
% 1.30/1.66 'c_HOL_Oinverse__class_Oinverse'( X ), Y ), hAPP(
% 1.30/1.66 'c_HOL_Oinverse__class_Oinverse'( X ), Z ) ) ), =( Y, Z ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.30/1.66 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.30/1.66 hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), Z ), X ), T ) ), ~( hBOOL(
% 1.30/1.66 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z
% 1.30/1.66 ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ) ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.30/1.66 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) )
% 1.30/1.66 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.30/1.66 , X ) ), T ), X ), Z ) ) ) ],
% 1.30/1.66 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.30/1.66 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ),
% 1.30/1.66 'c_SetInterval_Oord__class_OatMost'( hAPP( 'c_Suc', Z ), 'tc_nat' ) ),
% 1.30/1.66 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.30/1.66 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ),
% 1.30/1.66 'c_SetInterval_Oord__class_OatMost'( Z, 'tc_nat' ) ) ), hAPP( Y, hAPP(
% 1.30/1.66 'c_Suc', Z ) ) ) ) ],
% 1.30/1.66 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP(
% 1.30/1.66 'c_Suc', X ) ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' )
% 1.30/1.66 , hAPP( 'c_Suc', X ) ), Z ) ) ), =( Y, Z ) ],
% 1.30/1.66 [ hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.30/1.66 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( X, 'tc_nat' ), Z ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z
% 1.30/1.66 ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.30/1.66 , ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.30/1.66 ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z
% 1.30/1.66 ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.30/1.66 , ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.30/1.66 ) ) ) ],
% 1.30/1.66 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.30/1.66 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ),
% 1.30/1.66 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, hAPP( 'c_Suc', T ),
% 1.30/1.66 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.30/1.66 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ),
% 1.30/1.66 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, 'tc_nat' ) ) ), hAPP(
% 1.30/1.66 Y, T ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, 'tc_nat' ), Z ) )
% 1.30/1.66 ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.30/1.66 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.30/1.66 X ), Y ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.30/1.66 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ) ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.30/1.66 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.30/1.66 X ), Z ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.30/1.66 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.30/1.66 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.30/1.66 X ), Z ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.30/1.66 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ) ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.30/1.66 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.30/1.66 X ), Y ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.30/1.66 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =( hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), 'c_HOL_Oone__class_Oone'( X
% 1.30/1.66 ) ) ), =( hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Y ), Z ) ],
% 1.30/1.66 [ ~( =( hAPP( 'c_Suc', X ), X ) ) ],
% 1.30/1.66 [ ~( =( X, hAPP( 'c_Suc', X ) ) ) ],
% 1.30/1.66 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP(
% 1.30/1.66 hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), T ) ) ) ), =( Z, T ), =( Y
% 1.30/1.66 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.30/1.66 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Lim_OisCont'( Y
% 1.30/1.66 , Z, X, X ), ~( 'c_Deriv_Oderiv'( Y, Z, T, X ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP(
% 1.30/1.66 'c_HOL_Oinverse__class_Oinverse'( X ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.30/1.66 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Y
% 1.30/1.66 ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.30/1.66 X ), Z ), T ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), T )
% 1.30/1.66 ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.30/1.66 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ) ],
% 1.30/1.66 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( Y, X ), 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 1.30/1.66 T, X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), T ) ) ), ~( hBOOL(
% 1.30/1.66 hAPP( 'c_lessequals'( Y, X ), Z ) ) ) ],
% 1.30/1.66 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( Y, X ), 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 1.30/1.66 T, X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), T ) ) ), ~( hBOOL(
% 1.30/1.66 hAPP( 'c_lessequals'( Y, X ), Z ) ) ) ],
% 1.30/1.66 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( Y, X ), 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 1.30/1.66 T, X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), T ) ) ), ~( hBOOL(
% 1.30/1.66 hAPP( 'c_lessequals'( Y, X ), Z ) ) ) ],
% 1.30/1.66 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 1.30/1.66 X ), Z ) ) ],
% 1.30/1.66 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 1.30/1.66 X ), Y ) ) ],
% 1.30/1.66 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( 'c_lessequals'(
% 1.30/1.66 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ), Z ) ) ]
% 1.30/1.66 ,
% 1.30/1.66 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( 'c_lessequals'(
% 1.30/1.66 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ), Y ) ) ]
% 1.30/1.66 ,
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.30/1.66 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X ), hAPP(
% 1.30/1.66 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL(
% 1.30/1.66 hAPP( 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.30/1.66 ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.30/1.66 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X ),
% 1.30/1.66 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ), X
% 1.30/1.66 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X )
% 1.30/1.66 , T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.30/1.66 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ), T ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), hBOOL(
% 1.30/1.66 hAPP( 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.30/1.66 ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.30/1.66 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'(
% 1.30/1.66 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ), X
% 1.30/1.66 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ),
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ), Y ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ),
% 1.30/1.66 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 1.30/1.66 , X ), hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Y ) ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.30/1.66 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'(
% 1.30/1.66 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.30/1.66 Y, X ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ),
% 1.30/1.66 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ),
% 1.30/1.66 ~( hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ),
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.30/1.66 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ),
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.30/1.66 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.30/1.66 X ), Z ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.30/1.66 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ),
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ), Y ) ) ), ~( hBOOL(
% 1.30/1.66 hAPP( 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.30/1.66 ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ) ) ) ) ],
% 1.30/1.66 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ),
% 1.30/1.66 'c_Deriv_Odifferentiable'( Y, Z, X ), ~( 'c_Deriv_Oderiv'( Y, Z, T, X ) )
% 1.30/1.66 ],
% 1.30/1.66 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ),
% 1.30/1.66 'c_Deriv_Odifferentiable'( Y, Z, X ), ~( 'c_Deriv_Oderiv'( Y, Z, T, X ) )
% 1.30/1.66 ],
% 1.30/1.66 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( X ), 'c_Series_Osuminf'( Y, X ) ),
% 1.30/1.66 'c_Series_Osuminf'( Z, X ) ), 'c_Series_Osuminf'( 'c_COMBS'( hAPP( hAPP(
% 1.30/1.66 'c_COMBB'( X, 'tc_fun'( X, X ), 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( X
% 1.30/1.66 ) ), Y ), Z, 'tc_nat', X, X ), X ) ), ~( 'c_Series_Osummable'( Z, X ) )
% 1.30/1.66 , ~( 'c_Series_Osummable'( Y, X ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.30/1.66 X ), Y ), 'c_HOL_Oone__class_Oone'( X ) ) ) ) ],
% 1.30/1.66 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), ~( hBOOL(
% 1.30/1.66 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.30/1.66 'tc_nat' ), Z ), X ), 'tc_nat' ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ) ) ) ],
% 1.30/1.66 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), ~( hBOOL(
% 1.30/1.66 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.30/1.66 'tc_nat' ), X ), Z ), 'tc_nat' ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ) ) ) ],
% 1.30/1.66 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.30/1.66 , hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.30/1.66 ), Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z )
% 1.30/1.66 ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.30/1.66 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.30/1.66 , hBOOL( hAPP( 'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X
% 1.30/1.66 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ) ],
% 1.30/1.66 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.30/1.66 , hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.30/1.66 ), Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T )
% 1.30/1.66 ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, X ), T ) ) ) ],
% 1.30/1.66 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.30/1.66 , hBOOL( hAPP( 'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Y ), X
% 1.30/1.66 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ) ) ],
% 1.30/1.66 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), hBOOL(
% 1.30/1.66 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z
% 1.30/1.66 ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), ~(
% 1.30/1.66 hBOOL( hAPP( 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.30/1.66 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), hBOOL(
% 1.30/1.66 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z
% 1.30/1.66 ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), ~(
% 1.30/1.66 hBOOL( hAPP( 'c_lessequals'( Z, X ), T ) ) ) ],
% 1.30/1.66 [ hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.30/1.66 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.30/1.66 'tc_nat' ), Z ), Y ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ),
% 1.30/1.66 Z ) ) ) ],
% 1.30/1.66 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ),
% 1.30/1.66 X ), 'tc_nat' ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z )
% 1.30/1.66 , Y ) ) ) ) ],
% 1.30/1.66 [ hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.30/1.66 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.30/1.66 'tc_nat' ), X ), Z ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, 'tc_nat' ),
% 1.30/1.66 Z ) ) ) ],
% 1.30/1.66 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( 'c_Suc',
% 1.30/1.66 X ) ) ) ],
% 1.30/1.66 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( 'c_Suc',
% 1.30/1.66 X ) ) ) ],
% 1.30/1.66 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', X ), 'tc_nat' )
% 1.30/1.66 , Y ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, 'tc_nat' ), Y ) )
% 1.30/1.66 ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Z ) ) ) ]
% 1.30/1.66 ,
% 1.30/1.66 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), hAPP(
% 1.30/1.66 'c_Suc', hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) )
% 1.30/1.66 ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ), hAPP( 'c_Suc', Y ) )
% 1.30/1.66 ), ~( hBOOL( hAPP( 'c_lessequals'( Z, 'tc_nat' ), Y ) ) ) ],
% 1.30/1.66 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.30/1.66 Y, Z, X ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X )
% 1.30/1.66 , T ) ) ) ],
% 1.30/1.66 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.30/1.66 Y, Z, X ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X )
% 1.30/1.66 , T ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ), =( Z, Y ) ],
% 1.30/1.66 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ],
% 1.30/1.66 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ) ],
% 1.30/1.66 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), =( Z, Y ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ) ],
% 1.30/1.66 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( Y, X ), Z ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, X ),
% 1.30/1.66 Y ) ) ) ],
% 1.30/1.66 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 1.30/1.66 'class_RealVector_Oreal__normed__algebra__1'( Y ) ), =( Z, T ), ~(
% 1.30/1.66 'c_Lim_OLIM'( U, W, T, Y, X ) ), ~( 'c_Lim_OLIM'( U, W, Z, Y, X ) ) ]
% 1.30/1.66 ,
% 1.30/1.66 [ =( X, Y ), ~( hBOOL( hAPP( 'c_lessequals'( Y, 'tc_nat' ), X ) ) ), ~(
% 1.30/1.66 hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ) ) ],
% 1.30/1.66 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), hBOOL(
% 1.30/1.66 hAPP( 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), X ) ), =( Y, X ) ],
% 1.30/1.66 [ ~( 'class_RealVector_Ometric__space'( X ) ), =( Y, Z ), ~(
% 1.30/1.66 'c_SEQ_OLIMSEQ'( T, Z, X ) ), ~( 'c_SEQ_OLIMSEQ'( T, Y, X ) ) ],
% 1.30/1.66 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( Y, Z ), ~(
% 1.30/1.66 'c_Deriv_Oderiv'( T, U, Z, X ) ), ~( 'c_Deriv_Oderiv'( T, U, Y, X ) ) ]
% 1.30/1.66 ,
% 1.30/1.66 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), Z ) ), =( Z, Y ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( Z, 'tc_nat' ), Y ) ) ],
% 1.30/1.66 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), hBOOL(
% 1.30/1.66 hAPP( 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), X ) ), =( Y, X ) ],
% 1.30/1.66 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( Z, X ), Y ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ),
% 1.30/1.66 Z ) ) ) ],
% 1.30/1.66 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ), =( Z, Y ) ],
% 1.30/1.66 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( Z, X ), Y ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ),
% 1.30/1.66 Z ) ) ) ],
% 1.30/1.66 [ =( 'c_HOL_Oord__class_Oless'( 'v_n', 'tc_nat' ), 'c_lessequals'( hAPP(
% 1.30/1.66 'c_Suc', 'v_n' ), 'tc_nat' ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ),
% 1.30/1.66 'c_HOL_Oone__class_Oone'( X ) ), Y ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.30/1.66 ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ),
% 1.30/1.66 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL(
% 1.30/1.66 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ),
% 1.30/1.66 'c_HOL_Oone__class_Oone'( X ) ), Y ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.30/1.66 ) ) ) ) ],
% 1.30/1.66 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( 'c_lessequals'(
% 1.30/1.66 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.30/1.66 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), X ),
% 1.30/1.66 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.30/1.66 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 1.30/1.66 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.30/1.66 'class_Int_Onumber'( X ) ), ~( =( hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oinverse__class_Odivide'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.30/1.66 ) ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =(
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.30/1.66 ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.30/1.66 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.30/1.66 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oinverse__class_Odivide'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X
% 1.30/1.66 ) ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Y
% 1.30/1.66 ), X ), 'c_HOL_Oone__class_Oone'( X ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.30/1.66 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( Z, 'tc_nat' ), Y ) ) ) ],
% 1.30/1.66 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Z ) ), Y ) ), ~( hBOOL(
% 1.30/1.66 hAPP( 'c_lessequals'( Z, 'tc_nat' ), X ) ) ) ],
% 1.30/1.66 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL(
% 1.30/1.66 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.30/1.66 X ), Y ), Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.30/1.66 , ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.30/1.66 ) ) ) ],
% 1.30/1.66 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL(
% 1.30/1.66 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.30/1.66 X ), Y ), Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL(
% 1.30/1.66 hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.30/1.66 ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X )
% 1.30/1.66 , Z ), T ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ),
% 1.30/1.66 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z
% 1.30/1.66 , X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ), ~(
% 1.30/1.66 hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.30/1.66 ), Y ), T ), X ), Z ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z
% 1.30/1.66 ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ),
% 1.30/1.66 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.30/1.66 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ), Y ) ) ),
% 1.30/1.66 ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ) ) ],
% 1.30/1.66 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.30/1.66 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.30/1.66 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 1.30/1.66 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 1.30/1.66 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 1.30/1.66 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.30/1.66 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.30/1.66 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 1.30/1.66 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.30/1.66 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 1.30/1.66 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.30/1.66 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.30/1.66 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 1.30/1.66 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 1.30/1.66 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 1.30/1.66 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.30/1.66 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 1.30/1.66 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 1.30/1.66 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 1.30/1.66 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.30/1.66 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 1.30/1.66 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.30/1.66 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.30/1.66 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.30/1.66 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 1.30/1.66 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 1.30/1.66 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 1.30/1.66 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.30/1.66 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.30/1.66 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 1.30/1.66 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.30/1.66 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 1.30/1.66 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), hAPP(
% 1.30/1.66 'c_Suc', Y ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 1.30/1.66 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.30/1.66 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc'
% 1.30/1.66 , X ) ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ),
% 1.30/1.66 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.30/1.66 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.30/1.66 'tc_nat' ), 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.30/1.66 'tc_nat' ), X ), Y ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.30/1.66 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), Y ) ) ), ~( hBOOL(
% 1.30/1.66 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.30/1.66 'tc_nat' ), X ) ) ) ],
% 1.30/1.66 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.30/1.66 ), Y ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.30/1.66 ],
% 1.30/1.66 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.30/1.66 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ),
% 1.30/1.66 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.30/1.66 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ),
% 1.30/1.66 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.30/1.66 ), Y ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.30/1.66 ],
% 1.30/1.66 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), T ), Y ) ), U ) ) ), ~( hBOOL(
% 1.30/1.66 hAPP( 'c_lessequals'( X, 'tc_nat' ), T ) ) ), =( Z, hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ), X ) ), Y ) ), U ) ) ],
% 1.30/1.66 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), T ), Y ) ), U ) ) ), ~( hBOOL(
% 1.30/1.66 hAPP( 'c_lessequals'( T, 'tc_nat' ), X ) ) ), =( hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), T ) ), Y ) ), Z ), U ) ]
% 1.30/1.66 ,
% 1.30/1.66 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 1.30/1.66 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.30/1.66 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.30/1.66 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ), =( Z,
% 1.30/1.66 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.30/1.66 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 1.30/1.66 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.30/1.66 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.30/1.66 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ), =( Y,
% 1.30/1.66 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.30/1.66 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.30/1.66 X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.30/1.66 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), =(
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.30/1.66 ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.30/1.66 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.30/1.66 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oinverse__class_Odivide'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X
% 1.30/1.66 ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.30/1.66 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.30/1.66 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( 'c_HOL_Ozero__class_Ozero'(
% 1.30/1.66 X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.30/1.66 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'(
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) )
% 1.30/1.66 , ~( hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.30/1.66 , X ) ), T ), X ), Z ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.30/1.66 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.30/1.66 , X ) ), Z ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.30/1.66 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), hAPP(
% 1.30/1.66 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ) ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.30/1.66 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'(
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.30/1.66 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( T, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.30/1.66 ~( hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.30/1.66 X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ), Z ) ) ) ]
% 1.30/1.66 ,
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.30/1.66 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'(
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.30/1.66 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z
% 1.30/1.66 , X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ) ) ) ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ]
% 1.30/1.66 ,
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 1.30/1.66 'c_Nat_Osemiring__1__class_Oof__nat'( hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ), X ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y
% 1.30/1.66 , X ) ), 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ) ],
% 1.30/1.66 [ hBOOL( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 1.30/1.66 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ), ~( hBOOL(
% 1.30/1.66 hAPP( X, T ) ) ) ],
% 1.30/1.66 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.30/1.66 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ),
% 1.30/1.66 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, 'tc_nat' ) ), hAPP(
% 1.30/1.66 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( Y, Z ) ), hAPP( hAPP(
% 1.30/1.66 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ),
% 1.30/1.66 'c_SetInterval_Oord__class_OatLeastLessThan'( hAPP( 'c_Suc', Z ), T,
% 1.30/1.66 'tc_nat' ) ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, 'tc_nat'
% 1.30/1.66 ), T ) ) ) ],
% 1.30/1.66 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.30/1.66 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X,
% 1.30/1.66 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 1.30/1.66 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.30/1.66 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.30/1.66 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, hAPP(
% 1.30/1.66 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, hAPP( 'c_Suc'
% 1.30/1.66 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.30/1.66 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), =( Y, Z ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( Y, X ), Z ) ) ) ],
% 1.30/1.66 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.30/1.66 Y, X ), Z ) ) ) ],
% 1.30/1.66 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), =( X, Y
% 1.30/1.66 ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ) ) ],
% 1.30/1.66 [ =( X, Y ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y )
% 1.30/1.66 ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ) ) ],
% 1.30/1.66 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), =( X, Y
% 1.30/1.66 ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ) ) ],
% 1.30/1.66 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), =( Y, Z ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( Y, X ), Z ) ) ) ],
% 1.30/1.66 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.30/1.66 Y, X ), Z ) ) ), =( Y, Z ) ],
% 1.30/1.66 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( Y, X ), Z ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.30/1.66 Y, X ), Z ) ) ],
% 1.30/1.66 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.30/1.66 Y, X ), Z ) ) ) ],
% 1.30/1.66 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.30/1.66 Y, X ), Z ) ) ), =( Z, Y ) ],
% 1.30/1.66 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), =( Z, Y ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( Y, X ), Z ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z
% 1.30/1.66 ), X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ) ) ),
% 1.30/1.66 ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z )
% 1.30/1.66 ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z
% 1.30/1.66 ), X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ) ) ),
% 1.30/1.66 ~( hBOOL( hAPP( 'c_lessequals'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.30/1.66 ) ), ~( hBOOL( hAPP( 'c_lessequals'( T, X ), Y ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), 'c_HOL_Oone__class_Oone'(
% 1.30/1.66 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, Z ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.30/1.66 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ), T ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), hBOOL(
% 1.30/1.66 hAPP( 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.30/1.66 ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T
% 1.30/1.66 ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.30/1.66 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X ), hAPP(
% 1.30/1.66 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL(
% 1.30/1.66 hAPP( 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.30/1.66 ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), Z ) ) ) ],
% 1.30/1.66 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.30/1.66 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), hAPP(
% 1.30/1.66 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ) ],
% 1.30/1.66 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.30/1.66 ), Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T )
% 1.30/1.66 , U ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( U, X ), Z ) ) ), ~( hBOOL(
% 1.30/1.66 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), U
% 1.30/1.66 ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ), ~(
% 1.30/1.66 hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) )
% 1.30/1.66 ) ],
% 1.30/1.66 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.30/1.66 'tc_nat' ), 'tc_nat' ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat'
% 1.30/1.66 ), X ), Y ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.30/1.66 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), Y ) ) ) ],
% 1.30/1.66 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.30/1.66 'tc_nat' ), 'tc_nat' ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat'
% 1.30/1.66 ), X ), Y ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.30/1.66 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), X ) ) ) ],
% 1.30/1.66 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ),
% 1.30/1.66 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.30/1.66 ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ) ) ) ) ]
% 1.30/1.66 ,
% 1.30/1.66 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.30/1.66 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) )
% 1.30/1.66 ],
% 1.30/1.66 [ =( 'c_Set_Ovimage'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y
% 1.30/1.66 , Z, 'tc_fun'( T, 'tc_bool' ) ), U, T ),
% 1.30/1.66 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Ovimage'( X, Y, U, T
% 1.30/1.66 ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( Y, 'tc_nat' ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.30/1.66 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), T ), Y ), X ), hAPP(
% 1.30/1.66 hAPP( 'c_Power_Opower__class_Opower'( X ), T ), Z ) ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ), T ) ) ) ]
% 1.30/1.66 ,
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( Y, 'tc_nat' ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.30/1.66 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), T ), Y ), X ), hAPP(
% 1.30/1.66 hAPP( 'c_Power_Opower__class_Opower'( X ), T ), Z ) ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ), T ) ) ) ]
% 1.30/1.66 ,
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z )
% 1.30/1.66 , X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), T ) ) ), ~(
% 1.30/1.66 hBOOL( hAPP( 'c_lessequals'( Z, 'tc_nat' ), T ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ), Y ) ) ) ]
% 1.30/1.66 ,
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.30/1.66 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ),
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.30/1.66 , ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( T
% 1.30/1.66 , X ) ), Z ) ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.30/1.66 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X ), hAPP(
% 1.30/1.66 hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) )
% 1.30/1.66 , ~( hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ), X ),
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), X ), hAPP(
% 1.30/1.66 'c_HOL_Oinverse__class_Oinverse'( X ), Y ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ), ~( hBOOL(
% 1.30/1.66 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.30/1.66 ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP(
% 1.30/1.66 'c_HOL_Oinverse__class_Oinverse'( X ), Y ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.30/1.66 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.30/1.66 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_Lattices_Olower__semilattice__class_Oinf'( Z, X, 'tc_fun'( T,
% 1.30/1.66 'tc_bool' ) ), Y ) ) ) ],
% 1.30/1.66 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 1.30/1.66 'tc_bool' ) ), Y ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.30/1.66 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.30/1.66 'c_HOL_Oone__class_Oone'( X ) ) ) ) ],
% 1.30/1.66 [ hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.30/1.66 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( Y, 'tc_nat' ), T ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( X
% 1.30/1.66 , 'tc_nat' ), Z ) ) ) ],
% 1.30/1.66 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), X ) ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ),
% 1.30/1.66 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ),
% 1.30/1.66 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ),
% 1.30/1.66 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ), Y ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.30/1.66 ), Y ), Z ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.30/1.66 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.30/1.66 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.30/1.66 X ), Z ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.30/1.66 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ),
% 1.30/1.66 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ),
% 1.30/1.66 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ) ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.30/1.66 , hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ),
% 1.30/1.66 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ]
% 1.30/1.66 ,
% 1.30/1.66 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), X ) ), hBOOL(
% 1.30/1.66 hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( 'c_Suc', X ) ) ) ]
% 1.30/1.66 ,
% 1.30/1.66 [ ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ) ), ~(
% 1.30/1.66 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), hAPP( 'c_Suc', X )
% 1.30/1.66 ) ) ) ],
% 1.30/1.66 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( 'c_Suc',
% 1.30/1.66 Y ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), X ) ) ]
% 1.30/1.66 ,
% 1.30/1.66 [ =( X, hAPP( 'c_Suc', Y ) ), hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' )
% 1.30/1.66 , Y ) ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), hAPP( 'c_Suc', Y
% 1.30/1.66 ) ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.30/1.66 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.30/1.66 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.30/1.66 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.30/1.66 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.30/1.66 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.30/1.66 X ), X ), Y ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.30/1.66 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.30/1.66 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.30/1.66 X ), X ), Y ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.30/1.66 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.30/1.66 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.30/1.66 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ), ~(
% 1.30/1.66 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X
% 1.30/1.66 ), hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Y ) ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.30/1.66 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.30/1.66 'c_HOL_Oone__class_Oone'( X ) ) ), X ), Z ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.30/1.66 'c_HOL_Oone__class_Oone'( X ) ) ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.30/1.66 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) )
% 1.30/1.66 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ) ],
% 1.30/1.66 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ),
% 1.30/1.66 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ) ) ) ) ],
% 1.30/1.66 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ),
% 1.30/1.66 'c_Lattices_Olower__semilattice__class_Oinf'( T, Z, X ) ) ) ) ],
% 1.30/1.66 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 1.30/1.66 X ), T ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.30/1.66 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 1.30/1.66 X ), T ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, X ), T ) ) ) ],
% 1.30/1.66 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ),
% 1.30/1.66 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ) ) ) ) ],
% 1.30/1.66 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ),
% 1.30/1.66 'c_Lattices_Olower__semilattice__class_Oinf'( T, Z, X ) ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.30/1.66 ), Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T )
% 1.30/1.66 , Z ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.30/1.66 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.30/1.66 ), Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T )
% 1.30/1.66 , Z ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ),
% 1.30/1.66 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( T, X ), Y ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.30/1.66 , ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.30/1.66 ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.30/1.66 , ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.30/1.66 ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oinverse__class_Odivide'( X ), Y ), 'c_HOL_Oone__class_Oone'( X )
% 1.30/1.66 ), Y ) ],
% 1.30/1.66 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.30/1.66 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ) ) ), =( X, Z
% 1.30/1.66 ) ],
% 1.30/1.66 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.30/1.66 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ), =( Y, Z
% 1.30/1.66 ) ],
% 1.30/1.66 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.30/1.66 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ), =( Y, Z
% 1.30/1.66 ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.30/1.66 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP(
% 1.30/1.66 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 1.30/1.66 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =( hAPP(
% 1.30/1.66 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 1.30/1.66 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 1.30/1.66 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 1.30/1.66 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 1.30/1.66 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), =( Y, T ) ],
% 1.30/1.66 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL(
% 1.30/1.66 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.30/1.66 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.30/1.66 , ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.30/1.66 ) ) ) ],
% 1.30/1.66 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL(
% 1.30/1.66 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.30/1.66 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL(
% 1.30/1.66 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.30/1.66 ) ) ) ],
% 1.30/1.66 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( 'c_lessequals'(
% 1.30/1.66 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.30/1.66 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 1.30/1.66 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ), X ),
% 1.30/1.66 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.30/1.66 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.30/1.66 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X
% 1.30/1.66 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) )
% 1.30/1.66 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ), X ),
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.30/1.66 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.30/1.66 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ),
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.30/1.66 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( T
% 1.30/1.66 , X ) ), Z ) ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.30/1.66 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ), T ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ), X
% 1.30/1.66 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.30/1.66 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ), Y ) ) ), ~( hBOOL(
% 1.30/1.66 hAPP( 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.30/1.66 ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.30/1.66 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X ), hAPP(
% 1.30/1.66 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ), X
% 1.30/1.66 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.30/1.66 Z, X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), Z ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z
% 1.30/1.66 ), X ), T ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.30/1.66 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ),
% 1.30/1.66 X ), Y ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.30/1.66 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z
% 1.30/1.66 ), X ), T ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.30/1.66 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.30/1.66 ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X )
% 1.30/1.66 , Z ), T ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ),
% 1.30/1.66 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z
% 1.30/1.66 , X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ),
% 1.30/1.66 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.30/1.66 X ), T ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X )
% 1.30/1.66 , Z ), T ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ),
% 1.30/1.66 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( T, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.30/1.66 ~( hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.30/1.66 X ), Y ), T ), X ), Z ) ) ) ],
% 1.30/1.66 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc',
% 1.30/1.66 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'(
% 1.30/1.66 'tc_nat' ) ), 'tc_nat' ), X ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'(
% 1.30/1.66 'tc_nat' ) ), 'tc_nat' ), Y ) ) ) ],
% 1.30/1.66 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( 'c_Suc',
% 1.30/1.66 X ) ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP(
% 1.30/1.66 'c_Suc', Y ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 1.30/1.66 'c_Nat_Osemiring__1__class_Oof__nat'( hAPP( 'c_Suc', Y ), X ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.30/1.66 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ) ) ) ],
% 1.30/1.66 [ ~( =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP(
% 1.30/1.66 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( Y, hAPP(
% 1.30/1.66 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.30/1.66 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.30/1.66 [ ~( =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP(
% 1.30/1.66 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( X,
% 1.30/1.66 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, hAPP( 'c_Suc',
% 1.30/1.66 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z )
% 1.30/1.66 , X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), T ) ) ), ~(
% 1.30/1.66 hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), X ), Y ) ) )
% 1.30/1.66 , ~( hBOOL( hAPP( 'c_lessequals'( Z, 'tc_nat' ), T ) ) ) ],
% 1.30/1.66 [ =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 1.30/1.66 'tc_nat' ) ), hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) )
% 1.30/1.66 ],
% 1.30/1.66 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 1.30/1.66 hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.30/1.66 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ), T ),
% 1.30/1.66 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 1.30/1.66 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 1.30/1.66 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.30/1.66 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ) ),
% 1.30/1.66 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ) ) ],
% 1.30/1.66 [ ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ) ), =( hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), X ) ), Z ) ), T ) ) ) ]
% 1.30/1.66 ,
% 1.30/1.66 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.30/1.66 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( hAPP( hAPP(
% 1.30/1.66 'c_COMBB'( X, Y, X ), Z ), hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ) ),
% 1.30/1.66 'c_HOL_Ozero__class_Ozero'( X ), hAPP( Z, T ), X, Y ), ~( 'c_Lim_OisCont'(
% 1.30/1.66 Z, T, X, Y ) ) ],
% 1.30/1.66 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.30/1.66 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OisCont'( Z, T, X, Y ),
% 1.30/1.66 ~( 'c_Lim_OLIM'( hAPP( hAPP( 'c_COMBB'( X, Y, X ), Z ), hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( X ), T ) ), 'c_HOL_Ozero__class_Ozero'( X ),
% 1.30/1.66 hAPP( Z, T ), X, Y ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X )
% 1.30/1.66 , Z ), T ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) )
% 1.30/1.66 ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z
% 1.30/1.66 ), X ), T ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.30/1.66 ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X )
% 1.30/1.66 , Z ), T ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.30/1.66 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ),
% 1.30/1.66 X ), Z ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.30/1.66 X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.30/1.66 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X )
% 1.30/1.66 , T ), Z ) ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z
% 1.30/1.66 ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.30/1.66 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T
% 1.30/1.66 ), Z ) ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z
% 1.30/1.66 ), T ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.30/1.66 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T
% 1.30/1.66 ), X ), Z ) ) ) ],
% 1.30/1.66 [ ~( 'class_Nat_Osemiring__char__0'( X ) ), ~( =(
% 1.30/1.66 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 1.30/1.66 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ), =( Y, Z ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.30/1.66 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'(
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( T, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.30/1.66 , ~( hBOOL( hAPP( 'c_lessequals'( Z, X ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.30/1.66 , X ) ), T ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.30/1.66 , X ) ), T ), X ), Z ) ) ) ],
% 1.30/1.66 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.30/1.66 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X, hAPP(
% 1.30/1.66 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.30/1.66 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.30/1.66 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, hAPP(
% 1.30/1.66 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Y ), X ),
% 1.30/1.66 'c_HOL_Oone__class_Oone'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X )
% 1.30/1.66 , 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.30/1.66 ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.30/1.66 X ), Y ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), ~( hBOOL(
% 1.30/1.66 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.30/1.66 ) ) ) ) ],
% 1.30/1.66 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( 'c_Suc'
% 1.30/1.66 , X ) ), Y ), hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.30/1.66 'tc_nat' ), X ), Y ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, 'tc_nat' ),
% 1.30/1.66 X ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z
% 1.30/1.66 ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL(
% 1.30/1.66 hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ]
% 1.30/1.66 ,
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z
% 1.30/1.66 ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL(
% 1.30/1.66 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ]
% 1.30/1.66 ,
% 1.30/1.66 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ) ) ],
% 1.30/1.66 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Z ) ) ) ],
% 1.30/1.66 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), ~( hBOOL(
% 1.30/1.66 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.30/1.66 'tc_nat' ), X ), Z ), 'tc_nat' ), Y ) ) ) ],
% 1.30/1.66 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ) ) ],
% 1.30/1.66 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Z ) ) ) ],
% 1.30/1.66 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 1.30/1.66 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( X ),
% 1.30/1.66 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ),
% 1.30/1.66 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ) ],
% 1.30/1.66 [ hBOOL( hAPP( 'c_lessequals'( hAPP( 'c_Suc', X ), 'tc_nat' ), Y ) ),
% 1.30/1.66 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ) ) ],
% 1.30/1.66 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), ~( hBOOL(
% 1.30/1.66 hAPP( 'c_lessequals'( hAPP( 'c_Suc', X ), 'tc_nat' ), Y ) ) ) ],
% 1.30/1.66 [ hBOOL( hAPP( 'c_lessequals'( hAPP( 'c_Suc', X ), 'tc_nat' ), Y ) ),
% 1.30/1.66 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ) ) ],
% 1.30/1.66 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), ~( hBOOL(
% 1.30/1.66 hAPP( 'c_lessequals'( hAPP( 'c_Suc', X ), 'tc_nat' ), Y ) ) ) ],
% 1.30/1.66 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.30/1.66 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z )
% 1.30/1.66 , T ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), Z ) ) ), ~( hBOOL(
% 1.30/1.66 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ) ]
% 1.30/1.66 ,
% 1.30/1.66 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.30/1.66 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z )
% 1.30/1.66 , T ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), T ) ) ), ~( hBOOL(
% 1.30/1.66 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ) ]
% 1.30/1.66 ,
% 1.30/1.66 [ hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.30/1.66 'tc_nat' ), X ), Y ), 'tc_nat' ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.30/1.66 X, 'tc_nat' ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z )
% 1.30/1.66 , Y ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, 'tc_nat' ), Z ) ) ) ]
% 1.30/1.66 ,
% 1.30/1.66 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 1.30/1.66 Z ), 'tc_nat' ), Y ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, 'tc_nat' ),
% 1.30/1.66 Y ) ) ) ],
% 1.30/1.66 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( 'c_Suc',
% 1.30/1.66 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ) ) ],
% 1.30/1.66 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( 'c_Suc',
% 1.30/1.66 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ) ) ) ) ],
% 1.30/1.66 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( 'c_Suc',
% 1.30/1.66 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ) ) ],
% 1.30/1.66 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), Z ), 'tc_nat' ),
% 1.30/1.66 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), T ), Y ) ), U ) ) ), ~( hBOOL(
% 1.30/1.66 hAPP( 'c_HOL_Oord__class_Oless'( Z, 'tc_nat' ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ), X ) ), Y ) ), U ) ) ) ),
% 1.30/1.66 ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), T ) ) ) ],
% 1.30/1.66 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ), T ) ), U ) ) ), ~(
% 1.30/1.66 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ), X ), 'tc_nat' ),
% 1.30/1.66 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), T ) ), U ) ) ) ), ~( hBOOL(
% 1.30/1.66 hAPP( 'c_lessequals'( Z, 'tc_nat' ), Y ) ) ) ],
% 1.30/1.66 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), Z ), 'tc_nat' ),
% 1.30/1.66 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), T ), Y ) ), U ) ) ), ~( hBOOL(
% 1.30/1.66 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.30/1.66 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP(
% 1.30/1.66 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), T ) ), Y ) ), Z ),
% 1.30/1.66 'tc_nat' ), U ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( T, 'tc_nat' ), X ) )
% 1.30/1.66 ) ],
% 1.30/1.66 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Z ) ), T ),
% 1.30/1.66 'tc_nat' ), U ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), T ), 'tc_nat' ),
% 1.30/1.66 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ), U ) ) ) ), ~( hBOOL(
% 1.30/1.66 hAPP( 'c_lessequals'( Y, 'tc_nat' ), X ) ) ) ],
% 1.30/1.66 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_SEQ_OCauchy'( Y, X ),
% 1.30/1.66 ~( 'c_SEQ_OLIMSEQ'( Y, Z, X ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP(
% 1.30/1.66 'c_HOL_Oinverse__class_Oinverse'( X ), Y ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.30/1.66 ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.30/1.66 'class_Int_Onumber__ring'( X ) ), =( hAPP(
% 1.30/1.66 'c_HOL_Oinverse__class_Oinverse'( X ), Y ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.30/1.66 ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.30/1.66 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.30/1.66 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ),
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.30/1.66 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( T
% 1.30/1.66 , X ) ), Z ), X ), Y ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.30/1.66 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.30/1.66 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.30/1.66 hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), Z ), X ), T ) ), ~( hBOOL(
% 1.30/1.66 hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.30/1.66 ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.30/1.66 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.30/1.66 ), T ), Z ), X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ) ]
% 1.30/1.66 ,
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.30/1.66 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X
% 1.30/1.66 ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.30/1.66 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.30/1.66 , Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), Z ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.30/1.66 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.30/1.66 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ), T ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) )
% 1.30/1.66 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ), Y ) ) ), ~( hBOOL(
% 1.30/1.66 hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.30/1.66 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.30/1.66 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ),
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.30/1.66 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( T
% 1.30/1.66 , X ) ), Z ), X ), Y ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y
% 1.30/1.66 , X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ) ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z
% 1.30/1.66 ), X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ) ),
% 1.30/1.66 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.30/1.66 ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ),
% 1.30/1.66 ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.30/1.66 ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, X ), T ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z
% 1.30/1.66 ), X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ) ),
% 1.30/1.66 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.30/1.66 ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ),
% 1.30/1.66 ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 1.30/1.66 ) ), ~( hBOOL( hAPP( 'c_lessequals'( T, X ), Z ) ) ) ],
% 1.30/1.66 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( 'c_Suc'
% 1.30/1.66 , hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ) ), Z )
% 1.30/1.66 , hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( 'c_Suc', X
% 1.30/1.66 ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ),
% 1.30/1.66 ~( hBOOL( hAPP( 'c_lessequals'( Y, 'tc_nat' ), X ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.30/1.66 ), Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T )
% 1.30/1.66 , U ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( U, X ), Z ) ) ),
% 1.30/1.66 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.30/1.66 ), X ), U ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), T ) ) ), ~(
% 1.30/1.66 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.30/1.66 X ), Y ) ) ) ],
% 1.30/1.66 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( 'c_Suc',
% 1.30/1.66 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.30/1.66 'tc_nat' ) ), hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ]
% 1.30/1.66 ,
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.30/1.66 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.30/1.66 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.30/1.66 ) ), Z ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ),
% 1.30/1.66 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( Y, 'tc_nat' ), Z ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( Y, 'tc_nat' ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.30/1.66 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ),
% 1.30/1.66 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ) ) ],
% 1.30/1.66 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 1.30/1.66 'class_RealVector_Ometric__space'( Y ) ), ~(
% 1.30/1.66 'class_RealVector_Ometric__space'( Z ) ), 'c_Lim_OLIM'( hAPP( hAPP(
% 1.30/1.66 'c_COMBB'( X, Y, Z ), T ), U ), W, hAPP( T, V0 ), Z, Y ), ~( 'c_Lim_OLIM'(
% 1.30/1.66 U, W, V0, Z, X ) ), ~( 'c_Lim_OisCont'( T, V0, X, Y ) ) ],
% 1.30/1.66 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.30/1.66 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.30/1.66 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( 'c_Suc',
% 1.30/1.66 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.30/1.66 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X
% 1.30/1.66 ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.30/1.66 , hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( T, X ), X ),
% 1.30/1.66 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.30/1.66 , Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), Z ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.30/1.66 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.30/1.66 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ), T ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) )
% 1.30/1.66 , hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ),
% 1.30/1.66 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ) ) ) ],
% 1.30/1.66 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_SEQ_OLIMSEQ'( hAPP(
% 1.30/1.66 hAPP( 'c_COMBB'( 'tc_nat', X, 'tc_nat' ), Y ), 'c_Suc' ), Z, X ), ~(
% 1.30/1.66 'c_SEQ_OLIMSEQ'( Y, Z, X ) ) ],
% 1.30/1.66 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_SEQ_OLIMSEQ'( Y, Z, X
% 1.30/1.66 ), ~( 'c_SEQ_OLIMSEQ'( hAPP( hAPP( 'c_COMBB'( 'tc_nat', X, 'tc_nat' ), Y
% 1.30/1.66 ), 'c_Suc' ), Z, X ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP(
% 1.30/1.66 'c_HOL_Oinverse__class_Oinverse'( X ), hAPP(
% 1.30/1.66 'c_HOL_Oinverse__class_Oinverse'( X ), Y ) ), Y ) ],
% 1.30/1.66 [ hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.30/1.66 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.30/1.66 'tc_nat' ), X ) ) ],
% 1.30/1.66 [ hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.30/1.66 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ) ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.30/1.66 'tc_nat' ), Y ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.30/1.66 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X
% 1.30/1.66 ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ), X
% 1.30/1.66 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( Z, X ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.30/1.66 , Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), Z ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.30/1.66 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.30/1.66 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ), T ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ), X
% 1.30/1.66 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.30/1.66 , T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ), Y ) ) ), ~(
% 1.30/1.66 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ) ) ) ],
% 1.30/1.66 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.30/1.66 'c_Series_Osuminf'( hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'(
% 1.30/1.66 X, X ), 'tc_nat' ), 'c_HOL_Oinverse__class_Odivide'( X ) ), Y ), 'tc_nat'
% 1.30/1.66 , X, X ), Z ), X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ),
% 1.30/1.66 'c_Series_Osuminf'( Y, X ) ), Z ) ), ~( 'c_Series_Osummable'( Y, X ) ) ]
% 1.30/1.66 ,
% 1.30/1.66 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Lim_OLIM'( hAPP(
% 1.30/1.66 'c_COMBC'( 'c_HOL_Oinverse__class_Odivide'( X ), X, X, X ), Y ), Z, hAPP(
% 1.30/1.66 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ), X, X ) ],
% 1.30/1.66 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( hBOOL(
% 1.30/1.66 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.30/1.66 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.30/1.66 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.30/1.66 ), =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.30/1.66 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.30/1.66 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.30/1.66 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.30/1.66 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), X ) ) ],
% 1.30/1.66 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 1.30/1.66 'c_Finite__Set_Osetprod'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 1.30/1.66 , 'tc_bool' ) ), Z, X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.30/1.66 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.30/1.66 , X ) ), Z ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X
% 1.30/1.66 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ),
% 1.30/1.66 ~( hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ),
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.30/1.66 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ),
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.30/1.66 , ~( hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( T
% 1.30/1.66 , X ) ), Z ), X ), Y ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.30/1.66 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ],
% 1.30/1.66 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( T, X ), Z ) ) ) ],
% 1.30/1.66 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( T, X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.30/1.66 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.30/1.66 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.30/1.66 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.30/1.66 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.30/1.66 X ), Y ), Z ) ), T ) ) ],
% 1.30/1.66 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.30/1.66 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.30/1.66 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ) ],
% 1.30/1.66 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =( hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.30/1.66 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.30/1.66 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.30/1.66 X ), Y ), Z ) ), T ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.30/1.66 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.30/1.66 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.30/1.66 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.30/1.66 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.30/1.66 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.30/1.66 'tc_nat' ), 'tc_nat' ), X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.30/1.66 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), Y ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.30/1.66 'tc_nat' ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X )
% 1.30/1.66 ) ) ) ],
% 1.30/1.66 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( X, 'tc_nat' ), Y ) ) ) ],
% 1.30/1.66 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( X, 'tc_nat' ), Z ) ) ) ],
% 1.30/1.66 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 1.30/1.66 Z ), 'tc_nat' ), Y ) ) ) ],
% 1.30/1.66 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ),
% 1.30/1.66 X ), 'tc_nat' ), Y ) ) ) ],
% 1.30/1.66 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( X, 'tc_nat' ), Y ) ) ) ],
% 1.30/1.66 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( X, 'tc_nat' ), Z ) ) ) ],
% 1.30/1.66 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.30/1.66 Y, X ), Z ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), Y ) )
% 1.30/1.66 ) ],
% 1.30/1.66 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP( 'c_lessequals'( Z
% 1.30/1.66 , X ), Y ) ) ],
% 1.30/1.66 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.30/1.66 Y, X ), Y ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), Y ) )
% 1.30/1.66 ) ],
% 1.30/1.66 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( Y, X ), Y ) ), hBOOL( hAPP( 'c_lessequals'( Y
% 1.30/1.66 , X ), Y ) ) ],
% 1.30/1.66 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__meet'( X ) ), =(
% 1.30/1.66 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.30/1.66 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ) ),
% 1.30/1.66 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ) ) ],
% 1.30/1.66 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__meet'( X ) ), =(
% 1.30/1.66 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.30/1.66 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ), T ),
% 1.30/1.66 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.30/1.66 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.30/1.66 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ), T ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ), X
% 1.30/1.66 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.30/1.66 ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ), Y ) ) ) ]
% 1.30/1.66 ,
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.30/1.66 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.30/1.66 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ), T ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ), X
% 1.30/1.66 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.30/1.66 , T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ), Y ) ) ), hBOOL(
% 1.30/1.66 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.30/1.66 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X
% 1.30/1.66 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ),
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ), X
% 1.30/1.66 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( Z, X ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.30/1.66 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X
% 1.30/1.66 ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ), X
% 1.30/1.66 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( Z, X ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ) ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ),
% 1.30/1.66 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.30/1.66 'c_HOL_Oinverse__class_Oinverse'( X ), Y ) ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.30/1.66 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.30/1.66 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ), X
% 1.30/1.66 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.30/1.66 ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ), Y ) ) ) ]
% 1.30/1.66 ,
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.30/1.66 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.30/1.66 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ), T ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) )
% 1.30/1.66 , hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ),
% 1.30/1.66 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.30/1.66 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X
% 1.30/1.66 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ), X
% 1.30/1.66 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oinverse__class_Odivide'( X ), T ),
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.30/1.66 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X
% 1.30/1.66 ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.30/1.66 , hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( T, X ), X ),
% 1.30/1.66 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ],
% 1.30/1.66 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ), =( hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), U ) ],
% 1.30/1.66 [ hBOOL( hAPP( 'c_lessequals'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'(
% 1.30/1.66 'tc_nat' ) ), 'tc_nat' ), X ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP(
% 1.30/1.66 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), X ) ) ) ) ],
% 1.30/1.66 [ hBOOL( hAPP( 'c_lessequals'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'(
% 1.30/1.66 'tc_nat' ) ), 'tc_nat' ), X ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP(
% 1.30/1.66 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.30/1.66 ), Y ), hAPP( 'c_Suc', Z ) ), X ), 'c_HOL_Oone__class_Oone'( X ) ) ),
% 1.30/1.66 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.30/1.66 'c_HOL_Oone__class_Oone'( X ) ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) )
% 1.30/1.66 ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.30/1.66 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.30/1.66 'c_HOL_Oinverse__class_Oinverse'( X ), Z ), X ), hAPP(
% 1.30/1.66 'c_HOL_Oinverse__class_Oinverse'( X ), Y ) ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Y
% 1.30/1.66 ), X ), hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Z ) ) ), ~( hBOOL(
% 1.30/1.66 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z
% 1.30/1.66 ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.30/1.66 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.30/1.66 'c_HOL_Oinverse__class_Oinverse'( X ), Z ), X ), hAPP(
% 1.30/1.66 'c_HOL_Oinverse__class_Oinverse'( X ), Y ) ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Y
% 1.30/1.66 ), X ), hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Z ) ) ), ~( hBOOL(
% 1.30/1.66 hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.30/1.66 ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ) ) ],
% 1.30/1.66 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL(
% 1.30/1.66 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL(
% 1.30/1.66 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ]
% 1.30/1.66 ,
% 1.30/1.66 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.30/1.66 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP(
% 1.30/1.66 'c_Suc', X ) ) ) ],
% 1.30/1.66 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( 'c_Suc',
% 1.30/1.66 Y ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ) ) ],
% 1.30/1.66 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( 'c_Suc', Y ) ) ) ) ],
% 1.30/1.66 [ ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), X ) ) ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( 'c_Suc', X ) ) ) ],
% 1.30/1.66 [ hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.30/1.66 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.30/1.66 'tc_nat' ), Z ), T ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, 'tc_nat' ),
% 1.30/1.66 T ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Z ) ) ) ],
% 1.30/1.66 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), hBOOL(
% 1.30/1.66 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z
% 1.30/1.66 ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) ) ), ~(
% 1.30/1.66 hBOOL( hAPP( 'c_lessequals'( Z, X ), U ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), ~( hBOOL(
% 1.30/1.66 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.30/1.66 'c_HOL_Oinverse__class_Oinverse'( X ), Y ) ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.30/1.66 'c_HOL_Oinverse__class_Oinverse'( X ), Y ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ],
% 1.30/1.66 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), Z ) ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), T ), Y ) ), U ) ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), T ) ), Y ) ), Z ) ), U ) )
% 1.30/1.66 , ~( hBOOL( hAPP( 'c_lessequals'( T, 'tc_nat' ), X ) ) ) ],
% 1.30/1.66 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), Z ) ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), T ), Y ) ), U ) ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ), X ) ), Y ) ), U ) ) ), ~(
% 1.30/1.66 hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), T ) ) ) ],
% 1.30/1.66 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), ~( hBOOL(
% 1.30/1.66 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ) ) ) ) ],
% 1.30/1.66 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.30/1.66 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.30/1.66 ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.30/1.66 ), 'c_HOL_Oone__class_Oone'( X ) ), Y ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.30/1.66 X ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.30/1.66 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.30/1.66 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.30/1.66 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.30/1.66 X ), Z ), T ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), T ) ) ), ~(
% 1.30/1.66 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.30/1.66 X ), Z ) ) ) ],
% 1.30/1.66 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 1.30/1.66 'c_Series_Osummable'( Y, X ), ~( 'c_Series_Osums'( Y, Z, X ) ) ],
% 1.30/1.66 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 1.30/1.66 'c_Series_Osummable'( Y, X ), ~( 'c_Series_Osums'( Y, Z, X ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.30/1.66 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ),
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.30/1.66 , ~( hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( T
% 1.30/1.66 , X ) ), Z ), X ), Y ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), hAPP(
% 1.30/1.66 hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ) ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), X ), hAPP( hAPP(
% 1.30/1.66 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), X ), Y ) ) ) ],
% 1.30/1.66 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( 'c_Suc',
% 1.30/1.66 X ) ), Y ), hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.30/1.66 'tc_nat' ), X ), Y ) ) ) ],
% 1.30/1.66 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP(
% 1.30/1.66 'c_Suc', Y ) ), hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.30/1.66 'tc_nat' ), X ), Y ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.30/1.66 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ), T ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ), X
% 1.30/1.66 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ),
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ), Y ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.30/1.66 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ), T ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ), X
% 1.30/1.66 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.30/1.66 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ), Y ) ) ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.30/1.66 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X ), hAPP(
% 1.30/1.66 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ),
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ), X
% 1.30/1.66 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( Z, X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X )
% 1.30/1.66 , Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.30/1.66 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X ), hAPP(
% 1.30/1.66 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ), X
% 1.30/1.66 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.30/1.66 Z, X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ) ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.30/1.66 ), Y ), Z ), X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.30/1.66 T ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.30/1.66 'c_HOL_Oone__class_Oone'( X ) ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) )
% 1.30/1.66 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, 'tc_nat' ), Z ) ) ) ]
% 1.30/1.66 ,
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z )
% 1.30/1.66 , X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), T ) ) ), ~(
% 1.30/1.66 hBOOL( hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ) )
% 1.30/1.66 , ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.30/1.66 ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( T, 'tc_nat' ), Z ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.30/1.66 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.30/1.66 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ),
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.30/1.66 , 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ), Y ) ) ), hBOOL(
% 1.30/1.66 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z
% 1.30/1.66 ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.30/1.66 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.30/1.66 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ),
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.30/1.66 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( T
% 1.30/1.66 , X ) ), Z ) ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.30/1.66 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.30/1.66 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ), T ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) )
% 1.30/1.66 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ), Y ) ) ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.30/1.66 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X
% 1.30/1.66 ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.30/1.66 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ) ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.30/1.66 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.30/1.66 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.30/1.66 Y, X ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ),
% 1.30/1.66 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ),
% 1.30/1.66 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ),
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.30/1.66 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.30/1.66 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ),
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.30/1.66 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.30/1.66 X ), Z ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.30/1.66 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.30/1.66 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ),
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.30/1.66 , 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ), Y ) ) ), ~(
% 1.30/1.66 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( T
% 1.30/1.66 , X ) ), Z ) ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.30/1.66 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.30/1.66 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ) ) ), ~(
% 1.30/1.66 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, 'tc_nat' ), Y ) ) ), hBOOL(
% 1.30/1.66 hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), T ) ) ],
% 1.30/1.66 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), hAPP(
% 1.30/1.66 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.30/1.66 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), ~( hBOOL(
% 1.30/1.66 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y
% 1.30/1.66 ), Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ), ~( hBOOL(
% 1.30/1.66 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z
% 1.30/1.66 ), Y ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL(
% 1.30/1.66 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y
% 1.30/1.66 ), Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL(
% 1.30/1.66 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z
% 1.30/1.66 ), Y ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.30/1.66 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Z ), X ),
% 1.30/1.66 hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Y ) ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Y ), X ),
% 1.30/1.66 hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.30/1.66 , ~( hBOOL( hAPP( 'c_lessequals'( Z, X ), Y ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.30/1.66 Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Z ), X ),
% 1.30/1.66 hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Y ) ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Y ), X ),
% 1.30/1.66 hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.30/1.66 , ~( hBOOL( hAPP( 'c_lessequals'( Z, X ), Y ) ) ) ],
% 1.30/1.66 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Lim_OisCont'(
% 1.30/1.66 hAPP( 'c_COMBC'( 'c_HOL_Oinverse__class_Odivide'( X ), X, X, X ), Y ), Z
% 1.30/1.66 , X, X ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Y ), X ),
% 1.30/1.66 'c_HOL_Oone__class_Oone'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.30/1.66 'c_HOL_Oone__class_Oone'( X ), X ), Y ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.30/1.66 X ), 'c_HOL_Oone__class_Oone'( X ) ), 'c_HOL_Oone__class_Oone'( X ) ) ),
% 1.30/1.66 Y ) ) ],
% 1.30/1.66 [ ~( =( hAPP( 'c_Suc', X ), hAPP( 'c_Suc', Y ) ) ), =( X, Y ) ],
% 1.30/1.66 [ ~( =( hAPP( 'c_Suc', X ), hAPP( 'c_Suc', Y ) ) ), =( X, Y ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.30/1.66 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), X
% 1.30/1.66 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( Z, X ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.30/1.66 , X ) ), T ) ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.30/1.66 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.30/1.66 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), X
% 1.30/1.66 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( T, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.30/1.66 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.30/1.66 , X ) ), T ), X ), Z ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.30/1.66 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.30/1.66 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.30/1.66 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.30/1.66 X ), Z ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ) ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.30/1.66 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), X
% 1.30/1.66 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( T, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.30/1.66 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.30/1.66 X ), T ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.30/1.66 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), X
% 1.30/1.66 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( Z, X ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.30/1.66 , X ) ), T ) ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.30/1.66 , X ) ), T ), X ), Z ) ) ) ],
% 1.30/1.66 [ =( 'c_SetInterval_Oord__class_OatMost'( hAPP( 'c_Suc', X ), 'tc_nat' )
% 1.30/1.66 , 'c_Set_Oinsert'( hAPP( 'c_Suc', X ),
% 1.30/1.66 'c_SetInterval_Oord__class_OatMost'( X, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.30/1.66 [ ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ) ), =( hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), X ) ), Z ) ), T ) ), hAPP(
% 1.30/1.66 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ), T ) ) ],
% 1.30/1.66 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.30/1.66 'tc_nat' ), 'tc_nat' ), hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'(
% 1.30/1.66 'tc_nat' ) ) ) ) ],
% 1.30/1.66 [ ~( =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP(
% 1.30/1.66 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( X,
% 1.30/1.66 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 1.30/1.66 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.30/1.66 [ ~( =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP(
% 1.30/1.66 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( Y, hAPP(
% 1.30/1.66 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, hAPP( 'c_Suc'
% 1.30/1.66 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.30/1.66 [ hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.30/1.66 'tc_nat' ), X ), Y ), 'tc_nat' ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.30/1.66 X, 'tc_nat' ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y
% 1.30/1.66 ) ) ) ) ],
% 1.30/1.66 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X )
% 1.30/1.66 , Z ), 'tc_nat' ), Y ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.30/1.66 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.30/1.66 [ hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.30/1.66 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP(
% 1.30/1.66 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Z ) ), T ),
% 1.30/1.66 'tc_nat' ), U ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), T ), 'tc_nat' ),
% 1.30/1.66 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ), U ) ) ) ), ~( hBOOL(
% 1.30/1.66 hAPP( 'c_lessequals'( Y, 'tc_nat' ), X ) ) ) ],
% 1.30/1.66 [ hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.30/1.66 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y
% 1.30/1.66 ) ), Z ), 'tc_nat' ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.30/1.66 , hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), T ), Y ) ), U ) )
% 1.30/1.66 ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), T ) ), Y ) ), Z ),
% 1.30/1.66 'tc_nat' ), U ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( T, 'tc_nat' ), X ) )
% 1.30/1.66 ) ],
% 1.30/1.66 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ), T ) ), U ) ) ), ~(
% 1.30/1.66 hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.30/1.66 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T
% 1.30/1.66 ) ), X ), 'tc_nat' ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.30/1.66 , hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), T ) ), U ) )
% 1.30/1.66 ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, 'tc_nat' ), Y ) ) ) ],
% 1.30/1.66 [ hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.30/1.66 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y
% 1.30/1.66 ) ), Z ), 'tc_nat' ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.30/1.66 , hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), T ), Y ) ), U ) )
% 1.30/1.66 ), ~( hBOOL( hAPP( 'c_lessequals'( Z, 'tc_nat' ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ), X ) ), Y ) ), U ) ) ) ),
% 1.30/1.66 ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), T ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 1.30/1.66 'c_Nat_Osemiring__1__class_Oof__nat'( hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ), X ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'(
% 1.30/1.66 Y, X ) ), 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ) ],
% 1.30/1.66 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), T ) ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ) ) ), =( Y, T ), =( X
% 1.30/1.66 , Z ) ],
% 1.30/1.66 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), T ) ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ) ) ), =( Y, T ), =( X
% 1.30/1.66 , Z ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.30/1.66 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X
% 1.30/1.66 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( T, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.30/1.66 , hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.30/1.66 , X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.30/1.66 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( T, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.30/1.66 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.30/1.66 , X ) ), T ) ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.30/1.66 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ],
% 1.30/1.66 [ =( X, Y ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ),
% 1.30/1.66 hAPP( 'c_Suc', Y ) ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X,
% 1.30/1.66 'tc_nat' ), Y ) ) ],
% 1.30/1.66 [ =( X, Y ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ),
% 1.30/1.66 hAPP( 'c_Suc', X ) ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y,
% 1.30/1.66 'tc_nat' ), X ) ) ],
% 1.30/1.66 [ =( X, Y ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y )
% 1.30/1.66 ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP(
% 1.30/1.66 'c_Suc', Y ) ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.30/1.66 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( T, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.30/1.66 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.30/1.66 , X ) ), T ) ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.30/1.66 , X ) ), T ), X ), Z ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.30/1.66 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'(
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( T, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.30/1.66 , ~( hBOOL( hAPP( 'c_lessequals'( Z, X ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.30/1.66 , X ) ), T ) ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.30/1.66 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.30/1.66 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X ), hAPP(
% 1.30/1.66 hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( T, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.30/1.66 , hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.30/1.66 , X ), T ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ) ) ) ],
% 1.30/1.66 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( Z, X ), Y ) ) ) ],
% 1.30/1.66 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y
% 1.30/1.66 , X ), Z ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ) ]
% 1.30/1.66 ,
% 1.30/1.66 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP( 'c_lessequals'( Z
% 1.30/1.66 , X ), Y ) ) ],
% 1.30/1.66 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.30/1.66 Y, X ), Z ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), Y ) )
% 1.30/1.66 ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.30/1.66 'c_HOL_Ozero__class_Ozero'( X ) ), =( hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Y ), 'c_HOL_Oone__class_Oone'(
% 1.30/1.66 X ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Y ), 'c_HOL_Oone__class_Oone'(
% 1.30/1.66 X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Y ), 'c_HOL_Oone__class_Oone'(
% 1.30/1.66 X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), ~( hBOOL(
% 1.30/1.66 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ) ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ), ~( hBOOL(
% 1.30/1.66 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ), ~( hBOOL(
% 1.30/1.66 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ) ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), ~( hBOOL(
% 1.30/1.66 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ) ) ],
% 1.30/1.66 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.30/1.66 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.30/1.66 X ), Z ), T ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), T )
% 1.30/1.66 ) ), ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.30/1.66 ), Z ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), ~( 'class_Int_Onumber'(
% 1.30/1.66 X ) ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.30/1.66 X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), Z ) ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.30/1.66 , X ) ), T ) ) ) ],
% 1.30/1.66 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.30/1.66 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ), ~(
% 1.30/1.66 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.30/1.66 'tc_nat' ), 'tc_nat' ), X ) ) ), =( Y, Z ) ],
% 1.30/1.66 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.30/1.66 'tc_nat' ), 'tc_nat' ), X ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.30/1.66 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 'tc_nat'
% 1.30/1.66 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ) )
% 1.30/1.66 ],
% 1.30/1.66 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.30/1.66 'tc_nat' ), 'tc_nat' ), X ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.30/1.66 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), X ), 'tc_nat'
% 1.30/1.66 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), X ) ) ) )
% 1.30/1.66 ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), X ), Y ) ), hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL(
% 1.30/1.66 hAPP( 'c_lessequals'( hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Y ), X
% 1.30/1.66 ), 'c_HOL_Oone__class_Oone'( X ) ) ) ) ],
% 1.30/1.66 [ hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.30/1.66 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( Y, 'tc_nat' ), Z ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.30/1.66 'tc_nat' ), X ) ) ) ],
% 1.30/1.66 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z )
% 1.30/1.66 , X ), 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.30/1.66 Z ), Y ) ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.30/1.66 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), Z ) ) ) ],
% 1.30/1.66 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.30/1.66 'tc_nat' ), Z ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), X ), 'tc_nat' ), hAPP(
% 1.30/1.66 hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ) ) ) ],
% 1.30/1.66 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.30/1.66 'tc_nat' ), Z ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ), 'tc_nat' ), hAPP(
% 1.30/1.66 hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ) ) ) ],
% 1.30/1.66 [ =( X, hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X
% 1.30/1.66 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( 'c_Suc', hAPP( 'c_Suc',
% 1.30/1.66 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ) ) ],
% 1.30/1.66 [ ~( 'class_Int_Oring__char__0'( X ) ), ~( 'class_Int_Onumber__ring'( X
% 1.30/1.66 ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =( Y, Z ) ],
% 1.30/1.66 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.30/1.66 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z ), ~( hBOOL(
% 1.30/1.66 hAPP( 'c_lessequals'( Z, X ), Y ) ) ) ],
% 1.30/1.66 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =(
% 1.30/1.66 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ) ), hBOOL(
% 1.30/1.66 hAPP( 'c_lessequals'( Y, X ), Z ) ) ],
% 1.30/1.66 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.30/1.66 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ), ~( hBOOL(
% 1.30/1.66 hAPP( 'c_lessequals'( Y, X ), Z ) ) ) ],
% 1.30/1.66 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.30/1.66 'tc_nat' ), 'tc_nat' ), hAPP( 'c_Suc', X ) ) ) ],
% 1.30/1.66 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.30/1.66 'tc_nat' ), 'tc_nat' ), hAPP( 'c_Suc', X ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ),
% 1.30/1.66 ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), X ), hAPP(
% 1.30/1.66 'c_HOL_Oinverse__class_Oinverse'( X ), Y ) ) ) ) ],
% 1.30/1.66 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.30/1.66 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 1.30/1.66 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 1.30/1.66 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.30/1.66 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X,
% 1.30/1.66 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.30/1.66 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.30/1.66 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 1.30/1.66 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ), hAPP( hAPP(
% 1.30/1.66 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.30/1.66 'tc_nat' ), Z ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.30/1.66 'c_HOL_Oone__class_Oone'( X ), X ), Y ) ) ) ],
% 1.30/1.66 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ), T ) ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ), Y ) ), T ) ) ],
% 1.30/1.66 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.30/1.66 'tc_nat' ), 'tc_nat' ), X ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.30/1.66 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ) ) ],
% 1.30/1.66 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.30/1.66 'tc_nat' ), 'tc_nat' ), X ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.30/1.66 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), X ) ) ) ) ],
% 1.30/1.66 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL(
% 1.30/1.66 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.30/1.66 X ), Y ), Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.30/1.66 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.30/1.66 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Y ), X ),
% 1.30/1.66 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X
% 1.30/1.66 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL(
% 1.30/1.66 hAPP( 'c_lessequals'( hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Y ), X
% 1.30/1.66 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.30/1.66 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.30/1.66 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP(
% 1.30/1.66 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), Y ) ) ), ~( hBOOL(
% 1.30/1.66 hAPP( 'c_lessequals'( Y, 'tc_nat' ), X ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Z ) ) ) ],
% 1.30/1.66 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), ~( hBOOL(
% 1.30/1.66 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.30/1.66 'tc_nat' ), hAPP( 'c_Suc', Z ) ), X ), 'tc_nat' ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc', Z ) ), Y ) ) ) )
% 1.30/1.66 ],
% 1.30/1.66 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc', X ) ), Y ),
% 1.30/1.66 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP(
% 1.30/1.66 'c_Suc', X ) ), Z ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y,
% 1.30/1.66 'tc_nat' ), Z ) ) ) ],
% 1.30/1.66 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', X ), 'tc_nat' )
% 1.30/1.66 , Y ) ), =( hAPP( 'c_Suc', X ), Y ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ) ) ],
% 1.30/1.66 [ hBOOL( hAPP( 'c_lessequals'( hAPP( 'c_Suc', X ), 'tc_nat' ), Y ) ),
% 1.30/1.66 hBOOL( hAPP( 'c_lessequals'( Y, 'tc_nat' ), X ) ) ],
% 1.30/1.66 [ ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( hAPP( 'c_Suc', Y ), 'tc_nat' ), X ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =( hAPP(
% 1.30/1.66 'c_HOL_Oinverse__class_Oinverse'( X ), Y ), 'c_HOL_Oone__class_Oone'( X )
% 1.30/1.66 ) ), =( Y, 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ), Y ) ),
% 1.30/1.66 hBOOL( hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.30/1.66 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.30/1.66 'c_HOL_Oinverse__class_Oinverse'( X ), Y ), X ), 'c_HOL_Oone__class_Oone'(
% 1.30/1.66 X ) ) ) ) ],
% 1.30/1.66 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ) ), Z ) ) ), ~( hBOOL(
% 1.30/1.66 hAPP( 'c_lessequals'( Z, 'tc_nat' ), Y ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.30/1.66 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X
% 1.30/1.66 ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.30/1.66 , Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), Z ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.30/1.66 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.30/1.66 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ), T ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oinverse__class_Odivide'( X ), T ),
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.30/1.66 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.30/1.66 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ), T ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.30/1.66 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X
% 1.30/1.66 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ),
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.30/1.66 ), Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), Z ) ) ) ]
% 1.30/1.66 ,
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.30/1.66 'c_HOL_Oinverse__class_Oinverse'( X ), Y ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) )
% 1.30/1.66 ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.30/1.66 'c_HOL_Oinverse__class_Oinverse'( X ), Y ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) )
% 1.30/1.66 ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ),
% 1.30/1.66 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.30/1.66 ), X ), hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Y ) ) ) ) ],
% 1.30/1.66 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.30/1.66 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X,
% 1.30/1.66 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, hAPP( 'c_Suc',
% 1.30/1.66 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.30/1.66 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.30/1.66 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, hAPP(
% 1.30/1.66 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.30/1.66 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.30/1.66 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.30/1.66 hAPP( 'c_Suc', Z ) ), X ), 'tc_nat' ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc', Z ) ), Y ) ) ) )
% 1.30/1.66 ],
% 1.30/1.66 [ hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.30/1.66 'tc_nat' ), hAPP( 'c_Suc', X ) ), Y ), 'tc_nat' ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc', X ) ), Z ) ) ),
% 1.30/1.66 ~( hBOOL( hAPP( 'c_lessequals'( Y, 'tc_nat' ), Z ) ) ) ],
% 1.30/1.66 [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ), 'c_Lim_OLIM'(
% 1.30/1.66 'c_HOL_Oinverse__class_Oinverse'( X ), Y, hAPP(
% 1.30/1.66 'c_HOL_Oinverse__class_Oinverse'( X ), Y ), X, X ), =( Y,
% 1.30/1.66 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 1.30/1.66 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ),
% 1.30/1.66 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.30/1.66 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.30/1.66 ), Z ), Y ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.30/1.66 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ),
% 1.30/1.66 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.30/1.66 ), Y ), Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ),
% 1.30/1.66 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.30/1.66 X ), Z ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ), X ),
% 1.30/1.66 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.30/1.66 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.30/1.66 X ), Y ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ),
% 1.30/1.66 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.30/1.66 [ hBOOL( hAPP( 'c_lessequals'( hAPP( 'c_Suc', X ), 'tc_nat' ), hAPP(
% 1.30/1.66 'c_Suc', X ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.30/1.66 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X ), hAPP(
% 1.30/1.66 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), Z ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.30/1.66 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ), T ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X )
% 1.30/1.66 , T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.30/1.66 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ), T ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T
% 1.30/1.66 ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.30/1.66 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X ), hAPP(
% 1.30/1.66 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ),
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.30/1.66 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), Z ) ) ) ],
% 1.30/1.66 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), X ) ) ) ],
% 1.30/1.66 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP(
% 1.30/1.66 hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ), ~( hBOOL(
% 1.30/1.66 hAPP( 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), Z ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.30/1.66 'tc_nat' ), X ) ) ) ],
% 1.30/1.66 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), ~( hBOOL(
% 1.30/1.66 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.30/1.66 'tc_nat' ), Z ), X ), 'tc_nat' ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.30/1.66 'tc_nat' ), Z ) ) ) ],
% 1.30/1.66 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP(
% 1.30/1.66 hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ) ), ~( hBOOL(
% 1.30/1.66 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.30/1.66 'tc_nat' ), Y ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X,
% 1.30/1.66 'tc_nat' ), Z ) ) ) ],
% 1.30/1.66 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP(
% 1.30/1.66 hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ), ~( hBOOL(
% 1.30/1.66 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.30/1.66 'tc_nat' ), X ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y,
% 1.30/1.66 'tc_nat' ), Z ) ) ) ],
% 1.30/1.66 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP(
% 1.30/1.66 hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ), ~( hBOOL(
% 1.30/1.66 hAPP( 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), Z ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.30/1.66 'tc_nat' ), X ) ) ) ],
% 1.30/1.66 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.30/1.66 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP(
% 1.30/1.66 hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ) ), ~( hBOOL(
% 1.30/1.66 hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Z ) ) ), ~( hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.30/1.66 'tc_nat' ), Y ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.30/1.66 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.30/1.66 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X )
% 1.30/1.66 , Z ), T ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ),
% 1.30/1.66 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( T, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.30/1.66 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.30/1.66 X ), T ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.30/1.66 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.30/1.66 X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ) ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z
% 1.30/1.66 ), X ), T ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.30/1.66 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.30/1.66 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.30/1.66 X ), Z ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.66 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.30/1.66 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), hBOOL( hAPP(
% 1.30/1.66 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.30/1.66 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.30/1.66 X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ), Y ) ) ) ],
% 1.30/1.66 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ) ],
% 1.30/1.66 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.30/1.66 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ), Z ) ) ),
% 1.30/1.67 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 1.30/1.67 , X ), Y ) ) ) ],
% 1.30/1.67 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.30/1.67 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( Z, X ), U ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.30/1.67 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.30/1.67 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( Z, X ), U ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.30/1.67 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', X ), 'tc_nat' )
% 1.30/1.67 , hAPP( 'c_Suc', Y ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X,
% 1.30/1.67 'tc_nat' ), Y ) ) ) ],
% 1.30/1.67 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), ~( hBOOL(
% 1.30/1.67 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', X ), 'tc_nat' ), hAPP(
% 1.30/1.67 'c_Suc', Y ) ) ) ) ],
% 1.30/1.67 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', X ), 'tc_nat' )
% 1.30/1.67 , hAPP( 'c_Suc', Y ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X,
% 1.30/1.67 'tc_nat' ), Y ) ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'(
% 1.30/1.67 hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( 'tc_nat', X ), X ),
% 1.30/1.67 'c_Power_Opower__class_Opower'( X ) ), Y ), X, 'tc_nat', X ), hAPP(
% 1.30/1.67 'c_Suc', Z ) ), T, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.30/1.67 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.30/1.67 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), U ), hAPP( hAPP(
% 1.30/1.67 'c_Power_Opower__class_Opower'( X ), hAPP( Y, T ) ), Z ) ) ), X ), ~(
% 1.30/1.67 'c_Deriv_Oderiv'( Y, T, U, X ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.30/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Odivide'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.30/1.67 ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =( hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Oinverse'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.30/1.67 ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.30/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =( hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Oinverse'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.30/1.67 ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Oinverse'( X ), hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Oinverse'( X ), Y ) ), Y ), =( Y,
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.30/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.30/1.67 ,
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Oinverse'( X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.30/1.67 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.30/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Oinverse'( X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.30/1.67 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.30/1.67 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc'
% 1.30/1.67 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), hAPP( 'c_Suc',
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), hAPP( 'c_Suc',
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.30/1.67 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.30/1.67 X ), Y ), Z ) ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.30/1.67 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Oone__class_Oone'( X )
% 1.30/1.67 ) ), Z ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.30/1.67 X ), Z ), 'c_HOL_Oone__class_Oone'( X ) ) ), Y ) ) ],
% 1.30/1.67 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), hAPP(
% 1.30/1.67 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ), Y ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( Z, 'tc_nat' ), Y ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), ~( 'class_Int_Onumber'(
% 1.30/1.67 X ) ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ),
% 1.30/1.67 'c_Int_Onumber__class_Onumber__of'( T, X ) ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.30/1.67 X ), Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), Z ),
% 1.30/1.67 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), X ), hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Oinverse'( X ), Y ) ) ) ) ],
% 1.30/1.67 [ =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( 'c_Suc',
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.30/1.67 'tc_nat' ) ) ) ],
% 1.30/1.67 [ ~( 'class_Orderings_Oorder'( X ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( Y, X ), Y ) ) ) ],
% 1.30/1.67 [ ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), X ) ) ) ]
% 1.30/1.67 ,
% 1.30/1.67 [ ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), X ) ) ) ]
% 1.30/1.67 ,
% 1.30/1.67 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( Y, X ), Y ) ) ) ],
% 1.30/1.67 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( Y, X ), Y ) ) ) ],
% 1.30/1.67 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP( 'c_lessequals'( Z
% 1.30/1.67 , X ), Y ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), Z ) ) ) ],
% 1.30/1.67 [ ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ) ) ) ), =( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ) ), X ), Y ) ],
% 1.30/1.67 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL(
% 1.30/1.67 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.30/1.67 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.30/1.67 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.30/1.67 X ), X ), Y ) ) ) ],
% 1.30/1.67 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.30/1.67 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.30/1.67 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ) ) ) ],
% 1.30/1.67 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.30/1.67 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Oinverse'( X ), Y ), X ),
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Y
% 1.30/1.67 ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.30/1.67 ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Y
% 1.30/1.67 ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.30/1.67 ],
% 1.30/1.67 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), T ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Z ) ) ) ],
% 1.30/1.67 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.30/1.67 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( Z, X ), U ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.30/1.67 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X
% 1.30/1.67 ), Z ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ) ]
% 1.30/1.67 ,
% 1.30/1.67 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ) ) ],
% 1.30/1.67 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y
% 1.30/1.67 , X ), Z ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) )
% 1.30/1.67 ],
% 1.30/1.67 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.30/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Oinverse'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.30/1.67 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ), hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Oinverse'( X ), Y ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ),
% 1.30/1.67 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.30/1.67 ), X ), Y ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Oinverse'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.30/1.67 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Odivide'( X ), 'c_Series_Osuminf'( Y, X ) ), Z ),
% 1.30/1.67 'c_Series_Osuminf'( hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'(
% 1.30/1.67 X, X ), 'tc_nat' ), 'c_HOL_Oinverse__class_Odivide'( X ) ), Y ), 'tc_nat'
% 1.30/1.67 , X, X ), Z ), X ) ), ~( 'c_Series_Osummable'( Y, X ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL(
% 1.30/1.67 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ]
% 1.30/1.67 ,
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL(
% 1.30/1.67 hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ]
% 1.30/1.67 ,
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z
% 1.30/1.67 ), X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ) ) ),
% 1.30/1.67 ~( hBOOL( hAPP( 'c_lessequals'( U, X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), U ) ) )
% 1.30/1.67 , ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), T ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ), hAPP( hAPP(
% 1.30/1.67 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ) ) ), ~(
% 1.30/1.67 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X
% 1.30/1.67 ), Y ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), Z ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 1.30/1.67 X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 1.30/1.67 X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), Z ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.30/1.67 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'( Y
% 1.30/1.67 , 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_Series_Osummable'( Y, X ) )
% 1.30/1.67 ],
% 1.30/1.67 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Y ), X ), ~( hBOOL(
% 1.30/1.67 hAPP( 'c_lessequals'( Y, 'tc_nat' ), X ) ) ) ],
% 1.30/1.67 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), X ) ), Y ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( X, 'tc_nat' ), Y ) ) ) ],
% 1.30/1.67 [ ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ) ), =( Y, hAPP(
% 1.30/1.67 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), X ) ), X ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( Y,
% 1.30/1.67 'c_Series_Osuminf'( Z, X ) ), ~( 'c_Series_Osums'( Z, Y, X ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.30/1.67 'c_Series_Osuminf'( Y, X ), Z ), ~( 'c_Series_Osums'( Y, Z, X ) ) ],
% 1.30/1.67 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ), Y ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( Y, 'tc_nat' ), X ) ) ) ],
% 1.30/1.67 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Z ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( Z, 'tc_nat' ), Y ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.30/1.67 'tc_nat' ), Y ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.30/1.67 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ) ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.30/1.67 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.30/1.67 'tc_nat' ), Y ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( hAPP( hAPP(
% 1.30/1.67 'c_Power_Opower__class_Opower'( X ), Y ), Z ), hAPP( hAPP(
% 1.30/1.67 'c_Power_Opower__class_Opower'( X ), Y ), T ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ), Y ) ) ),
% 1.30/1.67 =( Z, T ) ],
% 1.30/1.67 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ),
% 1.30/1.67 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.30/1.67 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.30/1.67 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ),
% 1.30/1.67 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ) ],
% 1.30/1.67 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ),
% 1.30/1.67 hBOOL( hAPP( 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.30/1.67 X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ), X
% 1.30/1.67 ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.30/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.30/1.67 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.30/1.67 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.30/1.67 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.30/1.67 X ) ) ],
% 1.30/1.67 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), hAPP( 'c_Suc', Y ) ) ),
% 1.30/1.67 ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ) ) ],
% 1.30/1.67 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( hAPP( 'c_Suc', X ), 'tc_nat' ), Y ) ) ) ],
% 1.30/1.67 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'(
% 1.30/1.67 'tc_nat' ) ), 'tc_nat' ), Y ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'(
% 1.30/1.67 'tc_nat' ) ), 'tc_nat' ), X ) ) ) ],
% 1.30/1.67 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), X ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'(
% 1.30/1.67 'tc_nat' ) ), 'tc_nat' ), Y ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'(
% 1.30/1.67 'tc_nat' ) ), 'tc_nat' ), X ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Oinverse'( X ), Z ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.30/1.67 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Oinverse'( X ), Z ) ) ) ],
% 1.30/1.67 [ ~( hBOOL( hAPP( 'c_lessequals'( hAPP( 'c_Suc', X ), 'tc_nat' ), X ) )
% 1.30/1.67 ) ],
% 1.30/1.67 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP(
% 1.30/1.67 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), Y ) ) ), ~( hBOOL(
% 1.30/1.67 hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Z ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( Y, 'tc_nat' ), Z ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y
% 1.30/1.67 , 'tc_nat' ), X ) ) ) ],
% 1.30/1.67 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), ~( hBOOL(
% 1.30/1.67 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.30/1.67 'tc_nat' ), X ), Z ), 'tc_nat' ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( Z, 'tc_nat' ), Y ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z
% 1.30/1.67 , 'tc_nat' ), X ) ) ) ],
% 1.30/1.67 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.30/1.67 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.30/1.67 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 1.30/1.67 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 1.30/1.67 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 1.30/1.67 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.30/1.67 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 1.30/1.67 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.30/1.67 'tc_bool' ) ) ) ],
% 1.30/1.67 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.30/1.67 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.30/1.67 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 1.30/1.67 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ),
% 1.30/1.67 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.30/1.67 ), X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ),
% 1.30/1.67 'c_HOL_Oone__class_Oone'( X ) ), Y ) ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.30/1.67 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X )
% 1.30/1.67 ), Y ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 'class_Int_Onumber'( X )
% 1.30/1.67 ), =( hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ),
% 1.30/1.67 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.30/1.67 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ],
% 1.30/1.67 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL(
% 1.30/1.67 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y
% 1.30/1.67 ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.30/1.67 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X
% 1.30/1.67 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.30/1.67 Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), Z ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.30/1.67 ), T ), Y ), X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), T ),
% 1.30/1.67 Z ) ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.30/1.67 'c_HOL_Oone__class_Oone'( X ), X ), T ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.30/1.67 ), Y ), Z ), X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.30/1.67 T ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.30/1.67 'c_HOL_Oone__class_Oone'( X ), X ), Y ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( Z, 'tc_nat' ), T ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), Z ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.30/1.67 ), T ), Y ), X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), T ),
% 1.30/1.67 Z ) ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.30/1.67 'c_HOL_Oone__class_Oone'( X ), X ), T ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.30/1.67 ), Y ), Z ), X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.30/1.67 T ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, 'tc_nat' ), T ) )
% 1.30/1.67 ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 1.30/1.67 X ), X ), Y ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.30/1.67 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'(
% 1.30/1.67 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z
% 1.30/1.67 , X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.30/1.67 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ) ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.30/1.67 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ), Z ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.30/1.67 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'(
% 1.30/1.67 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( T, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.30/1.67 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.30/1.67 X ), T ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.30/1.67 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'(
% 1.30/1.67 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.30/1.67 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.30/1.67 X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.30/1.67 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ) ) ) ) ],
% 1.30/1.67 [ ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), Y ) ) ) ]
% 1.30/1.67 ,
% 1.30/1.67 [ ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), X ) ) ) ]
% 1.30/1.67 ,
% 1.30/1.67 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.30/1.67 'tc_nat' ), X ), Z ), 'tc_nat' ), Y ) ) ) ],
% 1.30/1.67 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), Z ) ), ~(
% 1.30/1.67 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), Y ) ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.30/1.67 X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ),
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ),
% 1.30/1.67 ~( hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ), Y ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z
% 1.30/1.67 ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ),
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.30/1.67 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ), Y ) ) ),
% 1.30/1.67 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.30/1.67 X ), Z ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z
% 1.30/1.67 ), T ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ),
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ),
% 1.30/1.67 ~( hBOOL( hAPP( 'c_lessequals'( Z, X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X )
% 1.30/1.67 , Z ), T ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ),
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z
% 1.30/1.67 , X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ),
% 1.30/1.67 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.30/1.67 X ), T ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.30/1.67 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.30/1.67 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ), T ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL(
% 1.30/1.67 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T )
% 1.30/1.67 , 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ), Y ) ) ), hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.30/1.67 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.30/1.67 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X ), hAPP(
% 1.30/1.67 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.30/1.67 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL(
% 1.30/1.67 hAPP( 'c_lessequals'( Z, X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.30/1.67 ), Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ) ), hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.30/1.67 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_Series_Osums'(
% 1.30/1.67 Y, 'c_Series_Osuminf'( Y, X ), X ), ~( 'c_Series_Osummable'( Y, X ) ) ]
% 1.30/1.67 ,
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.30/1.67 'c_Series_Osummable'( Y, X ) ), 'c_Series_Osums'( Y, 'c_Series_Osuminf'(
% 1.30/1.67 Y, X ), X ) ],
% 1.30/1.67 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, X, 'tc_fun'( Y,
% 1.30/1.67 'tc_bool' ) ), X ) ],
% 1.30/1.67 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.30/1.67 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Y, X ), Y ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.30/1.67 ), Y ), Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.30/1.67 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.30/1.67 ), Y ), Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.30/1.67 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.30/1.67 X ), X ), Y ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.30/1.67 ), Y ), Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.30/1.67 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.30/1.67 X ), X ), Y ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.30/1.67 ), Y ), Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.30/1.67 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.30/1.67 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Z ) ) ) ],
% 1.30/1.67 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), ~( hBOOL(
% 1.30/1.67 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.30/1.67 'tc_nat' ), Z ), X ), 'tc_nat' ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.30/1.67 'tc_nat' ), Z ), Y ) ) ) ) ],
% 1.30/1.67 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), Z ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =( hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Oinverse'( X ), Y ), hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Oinverse'( X ), Z ) ) ), =( Y, Z ), =( Z,
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.30/1.67 ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 1.30/1.67 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.30/1.67 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.30/1.67 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ),
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.30/1.67 ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.30/1.67 X ) ), ~( =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) )
% 1.30/1.67 , =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.30/1.67 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 1.30/1.67 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.30/1.67 , 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.30/1.67 ,
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.30/1.67 Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.30/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Odivide'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.30/1.67 ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.30/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Odivide'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.30/1.67 ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.30/1.67 Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.30/1.67 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.30/1.67 Y ) ],
% 1.30/1.67 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 1.30/1.67 Y ) ],
% 1.30/1.67 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.30/1.67 Y ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.30/1.67 X ) ), =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 1.30/1.67 Y ) ],
% 1.30/1.67 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 1.30/1.67 Y ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.30/1.67 Y ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 1.30/1.67 Y ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.30/1.67 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( hAPP( hAPP(
% 1.30/1.67 'c_COMBB'( X, Y, X ), Z ), hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ) ),
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ), hAPP( Z, T ), X, Y ), ~( 'c_Lim_OLIM'( Z
% 1.30/1.67 , T, hAPP( Z, T ), X, Y ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.30/1.67 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( Z, T, hAPP( Z, T
% 1.30/1.67 ), X, Y ), ~( 'c_Lim_OLIM'( hAPP( hAPP( 'c_COMBB'( X, Y, X ), Z ), hAPP(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( X ), T ) ), 'c_HOL_Ozero__class_Ozero'( X ),
% 1.30/1.67 hAPP( Z, T ), X, Y ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 1.30/1.67 'class_RealVector_Oreal__normed__vector'( Y ) ), 'c_Lim_OLIM'( hAPP( hAPP(
% 1.30/1.67 'c_COMBB'( Y, X, Y ), Z ), hAPP( 'c_HOL_Oplus__class_Oplus'( Y ), T ) ),
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( Y ), U, Y, X ), ~( 'c_Lim_OLIM'( Z, T, U, Y,
% 1.30/1.67 X ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 1.30/1.67 'class_RealVector_Oreal__normed__vector'( Y ) ), 'c_Lim_OLIM'( Z, T, U, Y
% 1.30/1.67 , X ), ~( 'c_Lim_OLIM'( hAPP( hAPP( 'c_COMBB'( Y, X, Y ), Z ), hAPP(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( Y ), T ) ), 'c_HOL_Ozero__class_Ozero'( Y ),
% 1.30/1.67 U, Y, X ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ), ~(
% 1.30/1.67 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( hAPP( hAPP(
% 1.30/1.67 'c_COMBB'( X, X, Y ), 'c_HOL_Oinverse__class_Oinverse'( X ) ), Z ), T,
% 1.30/1.67 hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), U ), Y, X ), =( U,
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Lim_OLIM'( Z, T, U, Y, X ) ) ]
% 1.30/1.67 ,
% 1.30/1.67 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 1.30/1.67 'class_RealVector_Oreal__normed__div__algebra'( Y ) ), 'c_Lim_OisCont'(
% 1.30/1.67 hAPP( hAPP( 'c_COMBB'( Y, Y, X ), 'c_HOL_Oinverse__class_Oinverse'( Y ) )
% 1.30/1.67 , Z ), T, X, Y ), =( hAPP( Z, T ), 'c_HOL_Ozero__class_Ozero'( Y ) ), ~(
% 1.30/1.67 'c_Lim_OisCont'( Z, T, X, Y ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ),
% 1.30/1.67 'c_Deriv_Odifferentiable'( hAPP( hAPP( 'c_COMBB'( X, X, X ),
% 1.30/1.67 'c_HOL_Oinverse__class_Oinverse'( X ) ), Y ), Z, X ), =( hAPP( Y, Z ),
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Deriv_Odifferentiable'( Y, Z, X
% 1.30/1.67 ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ),
% 1.30/1.67 'c_Limits_Otendsto'( hAPP( hAPP( 'c_COMBB'( X, X, Y ),
% 1.30/1.67 'c_HOL_Oinverse__class_Oinverse'( X ) ), Z ), hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Oinverse'( X ), T ), U, Y, X ), =( T,
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Limits_Otendsto'( Z, T, U, Y, X
% 1.30/1.67 ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.30/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.30/1.67 'class_Int_Onumber'( X ) ), ~( =( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.30/1.67 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), =( Y, hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( T
% 1.30/1.67 , X ) ), Z ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.30/1.67 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.30/1.67 X ), Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U
% 1.30/1.67 ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ), ~( hBOOL(
% 1.30/1.67 hAPP( 'c_lessequals'( Z, X ), U ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.30/1.67 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.30/1.67 X ), Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U
% 1.30/1.67 ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.30/1.67 X ), Z ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( Z, X ), U ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.30/1.67 ), Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y )
% 1.30/1.67 , T ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.30/1.67 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), T ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.30/1.67 ), Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y )
% 1.30/1.67 , T ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) )
% 1.30/1.67 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ), Z ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.30/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.30/1.67 'class_Int_Onumber'( X ) ), =( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.30/1.67 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ),
% 1.30/1.67 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.30/1.67 X ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ) ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.30/1.67 X ), Y ), U ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.30/1.67 ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ), =( U,
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.30/1.67 ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.30/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.30/1.67 'class_Int_Onumber'( X ) ), =( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.30/1.67 , X ) ), Z ) ), Z ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), =( Z,
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.30/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.30/1.67 'class_Int_Onumber'( X ) ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.30/1.67 X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.30/1.67 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ),
% 1.30/1.67 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y ), =(
% 1.30/1.67 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.30/1.67 ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.30/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.30/1.67 'class_Int_Onumber'( X ) ), =( Y, hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.30/1.67 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ),
% 1.30/1.67 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =(
% 1.30/1.67 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.30/1.67 ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.30/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.30/1.67 'class_Int_Onumber'( X ) ), =( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.30/1.67 , hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.30/1.67 , X ) ), Z ) ), Z ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.30/1.67 , hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ),
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.30/1.67 , Y ), T ), X ), Z ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.30/1.67 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ), hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ]
% 1.30/1.67 ,
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( T, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.30/1.67 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ), hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ]
% 1.30/1.67 ,
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( T, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.30/1.67 , hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.30/1.67 , X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), hAPP(
% 1.30/1.67 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.30/1.67 ), Y ), Z ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.30/1.67 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.30/1.67 ), Y ), Z ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.30/1.67 , T ), Z ), X ), Y ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.30/1.67 ), Y ), Z ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X
% 1.30/1.67 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.30/1.67 , T ), Z ), X ), Y ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.30/1.67 , Y ), Z ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X )
% 1.30/1.67 , 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ),
% 1.30/1.67 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ), Y ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.30/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.30/1.67 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.30/1.67 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.30/1.67 , X ) ), Z ) ), Z ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.30/1.67 X ), Y ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, X ),
% 1.30/1.67 'c_HOL_Oone__class_Oone'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.30/1.67 X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ),
% 1.30/1.67 'c_HOL_Oone__class_Oone'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.30/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ), T ) ), =( T,
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.30/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ), Z ) ), =( Z,
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Oinverse__class_Oinverse'(
% 1.30/1.67 X ), Y ) ), hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Z ) ), hAPP(
% 1.30/1.67 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Oinverse__class_Oinverse'(
% 1.30/1.67 X ), Y ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) ),
% 1.30/1.67 hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Z ) ) ), =( Z,
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.30/1.67 ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Oinverse__class_Oinverse'(
% 1.30/1.67 X ), Y ) ), hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Z ) ), hAPP(
% 1.30/1.67 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.30/1.67 X ), Y ), Z ) ), hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Y ) ) ),
% 1.30/1.67 hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Z ) ) ), =( Z,
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.30/1.67 ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.30/1.67 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.30/1.67 , Y ), T ), X ), Z ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( T, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.30/1.67 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.30/1.67 , Y ), T ), X ), Z ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.30/1.67 ), Y ), Z ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.30/1.67 , T ), Z ), X ), Y ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X
% 1.30/1.67 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.30/1.67 ), Y ), Z ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X
% 1.30/1.67 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.30/1.67 , T ), Z ), X ), Y ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X
% 1.30/1.67 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.30/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.30/1.67 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.30/1.67 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.30/1.67 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.30/1.67 , X ) ), Z ) ), Z ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Oinverse'( X ), Y ) ), 'c_HOL_Oone__class_Oone'( X
% 1.30/1.67 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Oinverse__class_Oinverse'(
% 1.30/1.67 X ), Y ) ), Y ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y,
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Oinverse__class_Oinverse'(
% 1.30/1.67 X ), Y ) ), Y ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y,
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.30/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.30/1.67 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.30/1.67 X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ), =(
% 1.30/1.67 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.30/1.67 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z ), =( T,
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( hBOOL(
% 1.30/1.67 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.30/1.67 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ) ) ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.30/1.67 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.30/1.67 X ), Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U
% 1.30/1.67 ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.30/1.67 X ), Z ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.30/1.67 X ), X ), Y ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), U )
% 1.30/1.67 ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.30/1.67 , Y ), T ), X ), Z ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.30/1.67 ), Y ), Z ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X
% 1.30/1.67 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ) ), ~(
% 1.30/1.67 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.30/1.67 X ), Z ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) )
% 1.30/1.67 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), Z ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.30/1.67 , Y ), Z ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ) ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.30/1.67 ), Y ), Z ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) )
% 1.30/1.67 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ), X ), Z ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.30/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.30/1.67 'class_Int_Onumber'( X ) ), =( Y, hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.30/1.67 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ),
% 1.30/1.67 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =(
% 1.30/1.67 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.30/1.67 ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.30/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.30/1.67 'class_Int_Onumber'( X ) ), =( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.30/1.67 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ),
% 1.30/1.67 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y ), =(
% 1.30/1.67 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.30/1.67 ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ) ) ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ) ) ), X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.30/1.67 ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( hBOOL(
% 1.30/1.67 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.30/1.67 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), hAPP(
% 1.30/1.67 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ), X ),
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.30/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.30/1.67 'class_Int_Onumber'( X ) ), =( 'c_HOL_Ozero__class_Ozero'( X ), hAPP(
% 1.30/1.67 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.30/1.67 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ),
% 1.30/1.67 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.30/1.67 hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL(
% 1.30/1.67 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.30/1.67 X ), Y ), T ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T
% 1.30/1.67 ) ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.30/1.67 hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL(
% 1.30/1.67 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.30/1.67 X ), T ), Y ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z
% 1.30/1.67 ) ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.30/1.67 , Y ), T ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T )
% 1.30/1.67 ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.30/1.67 , T ), Y ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.30/1.67 ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.30/1.67 X ), Y ), Y ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z )
% 1.30/1.67 ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.30/1.67 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.30/1.67 X ), Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U
% 1.30/1.67 ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.30/1.67 X ), Z ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( Z, X ), U ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.30/1.67 hAPP( 'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) )
% 1.30/1.67 , ~( hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.30/1.67 hAPP( 'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) )
% 1.30/1.67 , ~( hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.30/1.67 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ), ~(
% 1.30/1.67 hBOOL( hAPP( 'c_lessequals'( Z, X ), T ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) )
% 1.30/1.67 ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) )
% 1.30/1.67 ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.30/1.67 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ), ~(
% 1.30/1.67 hBOOL( hAPP( 'c_lessequals'( T, X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.30/1.67 ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ) ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( T, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.30/1.67 ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP(
% 1.30/1.67 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), X ),
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP(
% 1.30/1.67 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ), X ),
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.30/1.67 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ) ) ), =( Z,
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.30/1.67 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ) ) ), =( Y,
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X )
% 1.30/1.67 , Z ), T ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ),
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z
% 1.30/1.67 , X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ), ~(
% 1.30/1.67 hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.30/1.67 ), Y ), T ), X ), Z ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z
% 1.30/1.67 ), X ), T ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ),
% 1.30/1.67 X ), Y ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 1.30/1.67 'class_RealVector_Ometric__space'( Y ) ), ~(
% 1.30/1.67 'class_RealVector_Ometric__space'( Z ) ), 'c_Lim_OLIM'( hAPP( hAPP(
% 1.30/1.67 'c_COMBB'( X, Y, Z ), T ), U ), W, hAPP( T, V0 ), Z, Y ), ~( 'c_Lim_OLIM'(
% 1.30/1.67 U, W, V0, Z, X ) ), ~( 'c_Lim_OLIM'( T, V0, hAPP( T, V0 ), X, Y ) ) ]
% 1.30/1.67 ,
% 1.30/1.67 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 1.30/1.67 'class_RealVector_Ometric__space'( Y ) ), ~(
% 1.30/1.67 'class_RealVector_Ometric__space'( Z ) ), 'c_Lim_OisCont'( hAPP( hAPP(
% 1.30/1.67 'c_COMBB'( Z, Y, X ), T ), U ), W, X, Y ), ~( 'c_Lim_OisCont'( T, hAPP( U
% 1.30/1.67 , W ), Z, Y ) ), ~( 'c_Lim_OisCont'( U, W, X, Z ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ),
% 1.30/1.67 'c_Deriv_Odifferentiable'( hAPP( hAPP( 'c_COMBB'( X, X, X ), Y ), Z ), T
% 1.30/1.67 , X ), ~( 'c_Deriv_Odifferentiable'( Z, T, X ) ), ~(
% 1.30/1.67 'c_Deriv_Odifferentiable'( Y, hAPP( Z, T ), X ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.30/1.67 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.30/1.67 X ), Y ), U ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.30/1.67 ) ) ), =( Z, U ), =( Y, T ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.30/1.67 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.30/1.67 X ), Y ), U ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.30/1.67 ) ) ), =( Z, U ), =( Y, T ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.30/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Oinverse'( X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Oinverse__class_Oinverse'(
% 1.30/1.67 X ), Y ) ), hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Z ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.30/1.67 , Z ), T ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.30/1.67 ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.30/1.67 , T ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Y )
% 1.30/1.67 ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.30/1.67 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.30/1.67 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ) ],
% 1.30/1.67 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.30/1.67 , hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T
% 1.30/1.67 ), Y ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ) )
% 1.30/1.67 ],
% 1.30/1.67 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.30/1.67 , hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( Z, X ), T ) ) ) ],
% 1.30/1.67 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.30/1.67 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( Z, X ), T ) ) ) ],
% 1.30/1.67 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.30/1.67 , hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.30/1.67 ), T ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) )
% 1.30/1.67 ],
% 1.30/1.67 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.30/1.67 , hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.30/1.67 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.30/1.67 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.30/1.67 [ hBOOL( hAPP( 'c_lessequals'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'(
% 1.30/1.67 'tc_nat' ) ), 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.30/1.67 'tc_nat' ), X ), Y ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP( 'c_Suc',
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ), Y ) ) ), ~( hBOOL(
% 1.30/1.67 hAPP( 'c_lessequals'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.30/1.67 ) ), 'tc_nat' ), X ) ) ) ],
% 1.30/1.67 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y
% 1.30/1.67 , X ), Y ) ) ],
% 1.30/1.67 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X
% 1.30/1.67 ), Y ) ) ],
% 1.30/1.67 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), X ) ) ],
% 1.30/1.67 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( Z, 'tc_nat' ), Y ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( X
% 1.30/1.67 , 'tc_nat' ), Z ) ) ) ],
% 1.30/1.67 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), X ) ) ],
% 1.30/1.67 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( T, X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.30/1.67 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.30/1.67 T, X ), Z ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), T ) )
% 1.30/1.67 ) ],
% 1.30/1.67 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z )
% 1.30/1.67 , T ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( U, X ), T ) ) ), ~( hBOOL(
% 1.30/1.67 hAPP( 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.30/1.67 , Z ), U ) ) ) ) ],
% 1.30/1.67 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y
% 1.30/1.67 , X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( T, X ), Z ) ) ), ~( hBOOL(
% 1.30/1.67 hAPP( 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.30/1.67 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL(
% 1.30/1.67 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z
% 1.30/1.67 ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL(
% 1.30/1.67 hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ]
% 1.30/1.67 ,
% 1.30/1.67 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( T, X ), Z ) ) ) ],
% 1.30/1.67 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.30/1.67 Y, X ), T ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ), Z ) )
% 1.30/1.67 ) ],
% 1.30/1.67 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X
% 1.30/1.67 ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), T ) ) ), ~( hBOOL(
% 1.30/1.67 hAPP( 'c_lessequals'( T, X ), Z ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Y
% 1.30/1.67 ), X ), 'c_HOL_Oone__class_Oone'( X ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ), Y ) ) ) ]
% 1.30/1.67 ,
% 1.30/1.67 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( 'c_Suc',
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), hAPP( 'c_Suc',
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.30/1.67 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ),
% 1.30/1.67 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.30/1.67 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.30/1.67 ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( T
% 1.30/1.67 , X ) ), Z ) ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.30/1.67 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ),
% 1.30/1.67 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.30/1.67 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.30/1.67 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ), Y ) ) ), hBOOL(
% 1.30/1.67 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z
% 1.30/1.67 ) ) ],
% 1.30/1.67 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 1.30/1.67 'c_SetInterval_Oord__class_OatMost'( Y, X ),
% 1.30/1.67 'c_SetInterval_Oord__class_OatMost'( Z, X ) ) ), =( Y, Z ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 1.30/1.67 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OisCont'( Z, T, X, Y ),
% 1.30/1.67 ~( 'c_Lim_OLIM'( Z, T, hAPP( Z, T ), X, Y ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 1.30/1.67 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( Z, T, hAPP( Z, T
% 1.30/1.67 ), X, Y ), ~( 'c_Lim_OisCont'( Z, T, X, Y ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.30/1.67 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.30/1.67 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ), T ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL(
% 1.30/1.67 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T )
% 1.30/1.67 , 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ), Y ) ) ), ~( hBOOL(
% 1.30/1.67 hAPP( 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.30/1.67 ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.30/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.30/1.67 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X ), hAPP(
% 1.30/1.67 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.30/1.67 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL(
% 1.30/1.67 hAPP( 'c_lessequals'( Z, X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.30/1.67 ), Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ) ), ~( hBOOL(
% 1.30/1.67 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y )
% 1.30/1.67 , 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), Z ) ) ) ],
% 1.30/1.67 [ =( X, Y ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ),
% 1.30/1.67 hAPP( 'c_Suc', Y ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, 'tc_nat' ),
% 1.30/1.67 X ) ) ) ],
% 1.30/1.67 [ hBOOL( hAPP( 'c_Set_Ovimage'( X, Y, Z, T ), U ) ), ~( hBOOL( hAPP( Y,
% 1.30/1.67 hAPP( X, U ) ) ) ) ],
% 1.30/1.67 [ hBOOL( hAPP( X, hAPP( Y, Z ) ) ), ~( hBOOL( hAPP( 'c_Set_Ovimage'( Y,
% 1.30/1.67 X, T, U ), Z ) ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_Series_Osums'(
% 1.30/1.67 Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( Y,
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), X ), ~( 'c_Series_Osums'(
% 1.30/1.67 hAPP( hAPP( 'c_COMBB'( 'tc_nat', X, 'tc_nat' ), Y ), 'c_Suc' ), Z, X ) )
% 1.30/1.67 ],
% 1.30/1.67 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), X ) ), Y ), hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), X ) ) ],
% 1.30/1.67 [ hBOOL( hAPP( 'c_lessequals'( hAPP( 'c_Suc', X ), 'tc_nat' ), hAPP(
% 1.30/1.67 'c_Suc', Y ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ) )
% 1.30/1.67 ],
% 1.30/1.67 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( hAPP( 'c_Suc', X ), 'tc_nat' ), hAPP( 'c_Suc', Y ) ) ) )
% 1.30/1.67 ],
% 1.30/1.67 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ) ) ],
% 1.30/1.67 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y
% 1.30/1.67 , X ), Z ) ), hBOOL( hAPP( 'c_lessequals'( Z, X ), Y ) ) ],
% 1.30/1.67 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( Y, 'tc_nat' ), X ) ) ],
% 1.30/1.67 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ) ) ],
% 1.30/1.67 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ) ) ],
% 1.30/1.67 [ ~( 'class_Orderings_Oorder'( X ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.30/1.67 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), 'tc_nat' ),
% 1.30/1.67 'c_HOL_Oinverse__class_Odivide'( X ) ), Y ), Z, 'tc_nat', X, X ), hAPP(
% 1.30/1.67 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ), X ), =( U,
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_SEQ_OLIMSEQ'( Z, U, X ) ), ~(
% 1.30/1.67 'c_SEQ_OLIMSEQ'( Y, T, X ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.30/1.67 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.30/1.67 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.30/1.67 'c_Power_Opower__class_Opower'( X ), Y ), T ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( T, 'tc_nat' ), Z ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.30/1.67 X ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.30/1.67 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.30/1.67 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 1.30/1.67 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( T, 'tc_nat' ), Z ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.30/1.67 X ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~( =( hAPP( Y,
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.30/1.67 ) ), 'c_Series_Osums'( Y, Z, X ), ~( 'c_Series_Osums'( hAPP( hAPP(
% 1.30/1.67 'c_COMBB'( 'tc_nat', X, 'tc_nat' ), Y ), 'c_Suc' ), Z, X ) ) ],
% 1.30/1.67 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.30/1.67 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( 'c_Suc', Z ) ), T ) ),
% 1.30/1.67 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.30/1.67 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), T ) ) ), Y ) ), ~( hBOOL(
% 1.30/1.67 hAPP( 'c_lessequals'( T, 'tc_nat' ), Z ) ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), 'c_Series_Osuminf'( Y, X ) ), Z ),
% 1.30/1.67 'c_Series_Osuminf'( hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'(
% 1.30/1.67 X, X ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X ) ), Y ), 'tc_nat', X
% 1.30/1.67 , X ), Z ), X ) ), ~( 'c_Series_Osummable'( Y, X ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), 'c_Series_Osuminf'( Y, X ) ), Z ),
% 1.30/1.67 'c_Series_Osuminf'( hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'(
% 1.30/1.67 X, X ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X ) ), Y ), 'tc_nat', X
% 1.30/1.67 , X ), Z ), X ) ), ~( 'c_Series_Osummable'( Y, X ) ) ],
% 1.30/1.67 [ =( hAPP( hAPP( 'c_Finite__Set_Osetsum'( 'tc_nat',
% 1.30/1.67 'tc_Complex_Ocomplex' ), hAPP( 'c_Power_Opower__class_Opower'(
% 1.30/1.67 'tc_Complex_Ocomplex' ), hAPP( hAPP( 'c_Power_Opower__class_Opower'(
% 1.30/1.67 'tc_Complex_Ocomplex' ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.30/1.67 'tc_Complex_Ocomplex' ), 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex'
% 1.30/1.67 ) ), 'c_FFT__Mirabelle_Oroot'( X ) ) ), Y ) ) ),
% 1.30/1.67 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.30/1.67 'tc_nat' ), X, 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.30/1.67 'tc_Complex_Ocomplex' ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y,
% 1.30/1.67 'tc_nat' ), X ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), Y ) ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Ominus__class_Ominus'( X ), 'c_Series_Osuminf'( Y, X ) ),
% 1.30/1.67 'c_Series_Osuminf'( Z, X ) ), 'c_Series_Osuminf'( 'c_COMBS'( hAPP( hAPP(
% 1.30/1.67 'c_COMBB'( X, 'tc_fun'( X, X ), 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'(
% 1.30/1.67 X ) ), Y ), Z, 'tc_nat', X, X ), X ) ), ~( 'c_Series_Osummable'( Z, X ) )
% 1.30/1.67 , ~( 'c_Series_Osummable'( Y, X ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'( Y
% 1.30/1.67 , Z, X ), ~( 'c_SEQ_OZseq'( hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( X,
% 1.30/1.67 'tc_fun'( X, X ), 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( X ) ), Y ),
% 1.30/1.67 'tc_nat', X, X ), Z ), X ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OZseq'(
% 1.30/1.67 hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), 'tc_nat' ),
% 1.30/1.67 'c_HOL_Ominus__class_Ominus'( X ) ), Y ), 'tc_nat', X, X ), Z ), X ), ~(
% 1.30/1.67 'c_SEQ_OLIMSEQ'( Y, Z, X ) ) ],
% 1.30/1.67 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.30/1.67 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ),
% 1.30/1.67 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, hAPP( 'c_Suc', T ),
% 1.30/1.67 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( T, 'tc_nat' ), Z ) ) ) ],
% 1.30/1.67 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.30/1.67 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.30/1.67 'c_SetInterval_Oord__class_OgreaterThanLessThan'( Y, Z, X ),
% 1.30/1.67 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, X ), 'tc_fun'( X,
% 1.30/1.67 'tc_bool' ) ), 'c_SetInterval_Oord__class_OgreaterThanLessThan'( Y, T, X
% 1.30/1.67 ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, X ), T ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ) ],
% 1.30/1.67 [ =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' )
% 1.30/1.67 , 'c_FFT__Mirabelle_Oroot'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.30/1.67 'tc_nat' ), X ), Y ) ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.30/1.67 'tc_nat' ), X ), Z ) ), hAPP( hAPP( 'c_Power_Opower__class_Opower'(
% 1.30/1.67 'tc_Complex_Ocomplex' ), 'c_FFT__Mirabelle_Oroot'( Y ) ), Z ) ), ~( hBOOL(
% 1.30/1.67 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.30/1.67 'tc_nat' ), X ) ) ) ],
% 1.30/1.67 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( X ), hAPP( Y, Z ) ), hAPP( hAPP(
% 1.30/1.67 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ),
% 1.30/1.67 'c_SetInterval_Oord__class_OgreaterThanLessThan'( Z, T, 'tc_nat' ) ) ),
% 1.30/1.67 hAPP( hAPP( 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ),
% 1.30/1.67 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, 'tc_nat' ) ) ), ~(
% 1.30/1.67 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, 'tc_nat' ), T ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.30/1.67 , T ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Y )
% 1.30/1.67 ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ),
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.30/1.67 , Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.30/1.67 ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ), Z ) ) ), ~(
% 1.30/1.67 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.30/1.67 , T ), Y ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.30/1.67 ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.30/1.67 , Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.30/1.67 ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), T ) ) ), ~(
% 1.30/1.67 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.30/1.67 X ), Y ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.30/1.67 , Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.30/1.67 ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( T, X ), Z ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.30/1.67 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.30/1.67 X ), Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T
% 1.30/1.67 ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( Z, X ), T ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.30/1.67 , Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.30/1.67 ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), T ) ) ), ~(
% 1.30/1.67 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.30/1.67 X ), Y ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.30/1.67 , Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.30/1.67 ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ), Z ) ) ), ~(
% 1.30/1.67 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.30/1.67 , Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.30/1.67 ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ),
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( T, X ), Y ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.30/1.67 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.30/1.67 X ), Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z
% 1.30/1.67 ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.30/1.67 , Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.30/1.67 ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ), ~(
% 1.30/1.67 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.30/1.67 X ), Z ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.30/1.67 , Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.30/1.67 ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ), Y ) ) ), ~(
% 1.30/1.67 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ),
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.30/1.67 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) )
% 1.30/1.67 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), T ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.30/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ), =( Y,
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.30/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ), =( Z,
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.30/1.67 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.30/1.67 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.30/1.67 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.30/1.67 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ), ~( hBOOL(
% 1.30/1.67 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z
% 1.30/1.67 ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.30/1.67 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.30/1.67 ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.30/1.67 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.30/1.67 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.30/1.67 ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.30/1.67 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.30/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), Z ), Y ), =( Z,
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.30/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y, hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), Z ) ), =( Z,
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ) ), =( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ), Y ), Z ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ), Y ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), ~( hBOOL(
% 1.30/1.67 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y )
% 1.30/1.67 , Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ), ~( hBOOL(
% 1.30/1.67 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z )
% 1.30/1.67 , Y ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL(
% 1.30/1.67 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y )
% 1.30/1.67 , Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL(
% 1.30/1.67 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z )
% 1.30/1.67 , Y ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.30/1.67 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.30/1.67 X ), Y ), Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.30/1.67 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.30/1.67 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.30/1.67 X ), Y ), Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.30/1.67 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.30/1.67 X ), X ), Y ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.30/1.67 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.30/1.67 X ), Y ), Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.30/1.67 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.30/1.67 X ), X ), Z ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.30/1.67 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ), ~(
% 1.30/1.67 hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) )
% 1.30/1.67 ), ~( hBOOL( hAPP( 'c_lessequals'( Z, X ), T ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.30/1.67 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ), ~(
% 1.30/1.67 hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) )
% 1.30/1.67 ), ~( hBOOL( hAPP( 'c_lessequals'( Z, X ), T ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.30/1.67 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ), ~(
% 1.30/1.67 hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) )
% 1.30/1.67 ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.30/1.67 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ), ~(
% 1.30/1.67 hBOOL( hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.30/1.67 ), ~( hBOOL( hAPP( 'c_lessequals'( T, X ), Z ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.30/1.67 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ), ~(
% 1.30/1.67 hBOOL( hAPP( 'c_lessequals'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.30/1.67 ), ~( hBOOL( hAPP( 'c_lessequals'( T, X ), Y ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.30/1.67 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ) ), =( T, U ), =( Z,
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =( hAPP(
% 1.30/1.67 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.30/1.67 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =( hAPP(
% 1.30/1.67 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.30/1.67 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL(
% 1.30/1.67 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ]
% 1.30/1.67 ,
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL(
% 1.30/1.67 hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ]
% 1.30/1.67 ,
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL(
% 1.30/1.67 hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ]
% 1.30/1.67 ,
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL(
% 1.30/1.67 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ]
% 1.30/1.67 ,
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.30/1.67 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.30/1.67 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.30/1.67 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.30/1.67 ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.30/1.67 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.30/1.67 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.30/1.67 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.30/1.67 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.30/1.67 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.30/1.67 ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.30/1.67 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.30/1.67 ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.30/1.67 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.30/1.67 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.30/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ) ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_Lim_OLIM'(
% 1.30/1.67 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z, hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X, X ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_Lim_OisCont'(
% 1.30/1.67 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z, X, X ) ],
% 1.30/1.67 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.30/1.67 Y ) ],
% 1.30/1.67 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ),
% 1.30/1.67 Y ) ],
% 1.30/1.67 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ),
% 1.30/1.67 Y ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ),
% 1.30/1.67 Y ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.30/1.67 Y ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ),
% 1.30/1.67 Y ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.30/1.67 X ) ), =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.30/1.67 X ), Y ), T ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z )
% 1.30/1.67 ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.30/1.67 X ) ), =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.30/1.67 X ), Y ), T ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z )
% 1.30/1.67 ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.30/1.67 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ), U ) ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.30/1.67 X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ), U )
% 1.30/1.67 ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.30/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), Z ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'(
% 1.30/1.67 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z, Y, X ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ),
% 1.30/1.67 'c_SEQ_OLIMSEQ'( hAPP( hAPP( 'c_COMBB'( X, X, 'tc_nat' ),
% 1.30/1.67 'c_HOL_Oinverse__class_Oinverse'( X ) ), Y ), hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Oinverse'( X ), Z ), X ), =( Z,
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_SEQ_OLIMSEQ'( Y, Z, X ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.30/1.67 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), X ), hAPP(
% 1.30/1.67 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( T, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.30/1.67 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Ominus__class_Ominus'( X ), U ), Y ) ), Z ) ), W ) ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.30/1.67 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), U ) ), W ) ) ), ~( hBOOL(
% 1.30/1.67 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.30/1.67 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), Y ), X )
% 1.30/1.67 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ), W ) ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.30/1.67 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), X ), hAPP(
% 1.30/1.67 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.30/1.67 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Ominus__class_Ominus'( X ), Y ), U ) ), Z ) ), T ), X ), W ) ) ) ]
% 1.30/1.67 ,
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.30/1.67 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ) ), U ), X ), W ) ),
% 1.30/1.67 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.30/1.67 X ), Y ), T ) ), U ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.30/1.67 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), W ) ) ) ) ]
% 1.30/1.67 ,
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__field'( X ) ), =( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ) ), W ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.30/1.67 X ), Y ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Ominus__class_Ominus'( X ), Z ), U ) ), W ) ) ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Ominus__class_Ominus'( X ), Y ), T ) ), W ) ), U ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.30/1.67 X ), U ), Z ) ), W ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( T, X ), hAPP(
% 1.30/1.67 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Ominus__class_Ominus'( X ), U ), Y ) ), Z ) ), W ) ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.30/1.67 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), U ) ), W ) ) ), ~( hBOOL(
% 1.30/1.67 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.30/1.67 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), Y ), X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.30/1.67 X ), Z ), U ) ), W ) ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.30/1.67 X ), U ), Z ) ), W ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.30/1.67 X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), U ) ), Z ) ), T
% 1.30/1.67 ), X ), W ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ) ), U ), X ), W ) ),
% 1.30/1.67 ~( hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.30/1.67 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), U ), X ),
% 1.30/1.67 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), W ) ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.30/1.67 hAPP( 'c_Suc', T ) ), X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.30/1.67 ), Z ), hAPP( 'c_Suc', T ) ) ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X ),
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP(
% 1.30/1.67 hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.30/1.67 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), X ),
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( hAPP( hAPP(
% 1.30/1.67 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP(
% 1.30/1.67 hAPP( 'c_Power_Opower__class_Opower'( X ), T ), hAPP( 'c_Suc', Z ) ) ) )
% 1.30/1.67 , =( Y, T ), ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.30/1.67 X ), X ), T ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.30/1.67 ), Y ), T ), X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.30/1.67 T ) ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.30/1.67 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ) ), hAPP( hAPP(
% 1.30/1.67 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), U ), Z ) ) ), hAPP( hAPP(
% 1.30/1.67 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.30/1.67 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 1.30/1.67 'c_Power_Opower__class_Opower'( X ), Y ), U ) ) ), Z ) ), =( Y,
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.30/1.67 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.30/1.67 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.30/1.67 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), X ),
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Limits_Otendsto'(
% 1.30/1.67 hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y ),
% 1.30/1.67 'c_HOL_Oinverse__class_Odivide'( X ) ), Z ), Y, X, X ), T ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Odivide'( X ), U ), T ), W, Y, X ), ~(
% 1.30/1.67 'c_Limits_Otendsto'( Z, U, W, Y, X ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), ~(
% 1.30/1.67 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( hAPP( 'c_COMBC'(
% 1.30/1.67 hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y ),
% 1.30/1.67 'c_HOL_Oinverse__class_Odivide'( X ) ), Z ), Y, X, X ), T ), U, hAPP(
% 1.30/1.67 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), W ), T ), Y, X ), ~(
% 1.30/1.67 'c_Lim_OLIM'( Z, U, W, Y, X ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'(
% 1.30/1.67 hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), X ),
% 1.30/1.67 'c_HOL_Oinverse__class_Odivide'( X ) ), Y ), X, X, X ), Z ), T, hAPP(
% 1.30/1.67 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), U ), Z ), X ), ~(
% 1.30/1.67 'c_Deriv_Oderiv'( Y, T, U, X ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Limits_OZfun'(
% 1.30/1.67 hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y ),
% 1.30/1.67 'c_HOL_Oinverse__class_Odivide'( X ) ), Z ), Y, X, X ), T ), U, Y, X ),
% 1.30/1.67 ~( 'c_Limits_OZfun'( Z, U, Y, X ) ) ],
% 1.30/1.67 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.30/1.67 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( U, X ), T ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, X ), Y
% 1.30/1.67 ) ) ) ],
% 1.30/1.67 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.30/1.67 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( Z, X ), Y ) ), ~( hBOOL( hAPP( 'c_lessequals'( U, X ), T
% 1.30/1.67 ) ) ) ],
% 1.30/1.67 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.30/1.67 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( T, X ), U ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ) ],
% 1.30/1.67 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.30/1.67 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( T, X ), U ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ) ],
% 1.30/1.67 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.30/1.67 X ), Y ), Z ) ), Z ), Y ) ],
% 1.30/1.67 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.30/1.67 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) )
% 1.30/1.67 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Ominus__class_Ominus'( X ), Y ), T ) ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Ominus__class_Ominus'( X ), Z ), U ) ) ) ],
% 1.30/1.67 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.30/1.67 X ), Y ), Z ) ), Z ), Y ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.30/1.67 'c_Series_Osuminf'( hAPP( hAPP( 'c_COMBB'( X, X, 'tc_nat' ), hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), Y ) ), Z ), X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_Series_Osuminf'( Z, X ) ) ),
% 1.30/1.67 ~( 'c_Series_Osummable'( Z, X ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_Series_Osuminf'( Z, X ) ),
% 1.30/1.67 'c_Series_Osuminf'( hAPP( hAPP( 'c_COMBB'( X, X, 'tc_nat' ), hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), Y ) ), Z ), X ) ), ~(
% 1.30/1.67 'c_Series_Osummable'( Z, X ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.30/1.67 ), Y ), Z ), X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), T ),
% 1.30/1.67 Z ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), Z ) ) ), ~( hBOOL(
% 1.30/1.67 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ), ~(
% 1.30/1.67 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ),
% 1.30/1.67 'c_Deriv_Odifferentiable'( 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'(
% 1.30/1.67 X, X ), X ), 'c_HOL_Oplus__class_Oplus'( X ) ), Y ), Z, X, X, X ), T, X )
% 1.30/1.67 , ~( 'c_Deriv_Odifferentiable'( Z, T, X ) ), ~( 'c_Deriv_Odifferentiable'(
% 1.30/1.67 Y, T, X ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.30/1.67 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBS'( hAPP(
% 1.30/1.67 hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y ), 'c_HOL_Oplus__class_Oplus'( X
% 1.30/1.67 ) ), Z ), T, Y, X, X ), U, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.30/1.67 W ), V0 ), Y, X ), ~( 'c_Lim_OLIM'( T, U, V0, Y, X ) ), ~( 'c_Lim_OLIM'(
% 1.30/1.67 Z, U, W, Y, X ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_Limits_OZfun'(
% 1.30/1.67 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y ),
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( X ) ), Z ), T, Y, X, X ), U, Y, X ), ~(
% 1.30/1.67 'c_Limits_OZfun'( T, U, Y, X ) ), ~( 'c_Limits_OZfun'( Z, U, Y, X ) ) ]
% 1.30/1.67 ,
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'(
% 1.30/1.67 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), X ),
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( X ) ), Y ), Z, X, X, X ), T, hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( X ), U ), W ), X ), ~( 'c_Deriv_Oderiv'( Z, T
% 1.30/1.67 , W, X ) ), ~( 'c_Deriv_Oderiv'( Y, T, U, X ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 1.30/1.67 'class_RealVector_Oreal__normed__vector'( Y ) ), 'c_Lim_OisCont'(
% 1.30/1.67 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( Y, 'tc_fun'( Y, Y ), X ),
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( Y ) ), Z ), T, X, Y, Y ), U, X, Y ), ~(
% 1.30/1.67 'c_Lim_OisCont'( T, U, X, Y ) ), ~( 'c_Lim_OisCont'( Z, U, X, Y ) ) ]
% 1.30/1.67 ,
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 1.30/1.67 'c_Limits_Otendsto'( 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X
% 1.30/1.67 ), Y ), 'c_HOL_Oplus__class_Oplus'( X ) ), Z ), T, Y, X, X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( X ), U ), W ), V0, Y, X ), ~(
% 1.30/1.67 'c_Limits_Otendsto'( T, W, V0, Y, X ) ), ~( 'c_Limits_Otendsto'( Z, U, V0
% 1.30/1.67 , Y, X ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.30/1.67 ), Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.30/1.67 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ), ~( hBOOL(
% 1.30/1.67 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 1.30/1.67 ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.30/1.67 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ), Y ) ) ) ]
% 1.30/1.67 ,
% 1.30/1.67 [ hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.30/1.67 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.30/1.67 [ ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.30/1.67 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ]
% 1.30/1.67 ,
% 1.30/1.67 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.30/1.67 'tc_nat' ), 'tc_nat' ), X ) ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.30/1.67 ) ) ],
% 1.30/1.67 [ ~( =( hAPP( 'c_Suc', X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ]
% 1.30/1.67 ,
% 1.30/1.67 [ ~( =( hAPP( 'c_Suc', X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ]
% 1.30/1.67 ,
% 1.30/1.67 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.30/1.67 'tc_nat' ) ) ],
% 1.30/1.67 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ),
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.30/1.67 'tc_nat' ) ) ],
% 1.30/1.67 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.30/1.67 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ), =( Y
% 1.30/1.67 , Z ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.30/1.67 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.30/1.67 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ), =( X
% 1.30/1.67 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y, Z ) ],
% 1.30/1.67 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.30/1.67 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ) ), =( Y
% 1.30/1.67 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, Z ) ],
% 1.30/1.67 [ ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ),
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 1.30/1.67 [ ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ),
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 1.30/1.67 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 1.30/1.67 'tc_nat' ) ), Y ) ) ],
% 1.30/1.67 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ),
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.30/1.67 'tc_nat' ) ) ) ],
% 1.30/1.67 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( X, 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) )
% 1.30/1.67 ) ],
% 1.30/1.67 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X,
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.30/1.67 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X,
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.30/1.67 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.30/1.67 [ ~( =( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y )
% 1.30/1.67 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.30/1.67 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), X
% 1.30/1.67 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.30/1.67 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( 'c_Suc', X ) ) ) ]
% 1.30/1.67 ,
% 1.30/1.67 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( 'c_Suc', X ) ) ) ]
% 1.30/1.67 ,
% 1.30/1.67 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.30/1.67 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.30/1.67 [ hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.30/1.67 'tc_nat' ), X ) ) ],
% 1.30/1.67 [ =( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.30/1.67 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ) ],
% 1.30/1.67 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), X ) ],
% 1.30/1.67 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 1.30/1.67 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.30/1.67 'c_Orderings_Obot__class_Obot'( X ), X ), 'c_Orderings_Obot__class_Obot'(
% 1.30/1.67 X ) ) ],
% 1.30/1.67 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 1.30/1.67 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.30/1.67 'c_Orderings_Obot__class_Obot'( X ), Y, X ),
% 1.30/1.67 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.30/1.67 [ ~( 'class_Orderings_Obot'( X ) ), hBOOL( hAPP( 'c_lessequals'(
% 1.30/1.67 'c_Orderings_Obot__class_Obot'( X ), X ), Y ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.30/1.67 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.30/1.67 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 1.30/1.67 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.30/1.67 ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ), Z ) ) )
% 1.30/1.67 , hBOOL( hAPP( 'c_lessequals'( T, 'tc_nat' ), Z ) ), =( Y,
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.30/1.67 'c_Power_Opower__class_Opower'( X ), hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Oinverse'( X ), Y ) ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.30/1.67 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 1.30/1.67 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( T, 'tc_nat' ), Z ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.30/1.67 X ) ) ],
% 1.30/1.67 [ =( 'c_Set_Ovimage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.30/1.67 'tc_bool' ) ), Z, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.30/1.67 'tc_bool' ) ) ) ],
% 1.30/1.67 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.30/1.67 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 1.30/1.67 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 1.30/1.67 ) ) ) ],
% 1.30/1.67 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 1.30/1.67 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 1.30/1.67 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.30/1.67 ) ],
% 1.30/1.67 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.30/1.67 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP(
% 1.30/1.67 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.30/1.67 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), T ) ) ],
% 1.30/1.67 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.30/1.67 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y )
% 1.30/1.67 , 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.30/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Oinverse'( X ), hAPP( hAPP(
% 1.30/1.67 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.30/1.67 'c_Power_Opower__class_Opower'( X ), hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Oinverse'( X ), Y ) ), Z ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.30/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.30/1.67 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.30/1.67 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 1.30/1.67 'c_Power_Opower__class_Opower'( X ), Z ), T ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL(
% 1.30/1.67 hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ]
% 1.30/1.67 ,
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), hBOOL(
% 1.30/1.67 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL(
% 1.30/1.67 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ]
% 1.30/1.67 ,
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), ~( hBOOL(
% 1.30/1.67 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ), ~( hBOOL(
% 1.30/1.67 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ), ~( hBOOL(
% 1.30/1.67 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), ~( hBOOL(
% 1.30/1.67 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.30/1.67 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ) ), ~(
% 1.30/1.67 hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) )
% 1.30/1.67 ), ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.30/1.67 , T ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, X ), U ) ) ), ~( hBOOL(
% 1.30/1.67 hAPP( 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.30/1.67 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ) ), ~(
% 1.30/1.67 hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) )
% 1.30/1.67 ), ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.30/1.67 , Y ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, X ), U ) ) ), ~( hBOOL(
% 1.30/1.67 hAPP( 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.30/1.67 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.30/1.67 X ), Y ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.30/1.67 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.30/1.67 X ), Y ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ), X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ) ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( hBOOL(
% 1.30/1.67 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.30/1.67 X ), Y ), Y ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.30/1.67 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.30/1.67 Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.30/1.67 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), hBOOL(
% 1.30/1.67 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y )
% 1.30/1.67 , Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL(
% 1.30/1.67 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ]
% 1.30/1.67 ,
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), hBOOL(
% 1.30/1.67 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y )
% 1.30/1.67 , Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL(
% 1.30/1.67 hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ]
% 1.30/1.67 ,
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), hBOOL(
% 1.30/1.67 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y )
% 1.30/1.67 , Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL(
% 1.30/1.67 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ]
% 1.30/1.67 ,
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), hBOOL(
% 1.30/1.67 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y )
% 1.30/1.67 , Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL(
% 1.30/1.67 hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ]
% 1.30/1.67 ,
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), hBOOL(
% 1.30/1.67 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y )
% 1.30/1.67 , Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL(
% 1.30/1.67 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ) ]
% 1.30/1.67 ,
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Oinverse'( X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Oinverse__class_Oinverse'(
% 1.30/1.67 X ), Z ) ), hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Y ) ) ), =( Z,
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.30/1.67 ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.30/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.30/1.67 ), Y ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.30/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y, hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), Z ) ), =( Z,
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.30/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), Z ), Y ), =( Z,
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( hAPP(
% 1.30/1.67 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ) ) ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ) ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.30/1.67 ,
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ),
% 1.30/1.67 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ) ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.30/1.67 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), T ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.30/1.67 , Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.30/1.67 ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ),
% 1.30/1.67 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.30/1.67 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), T ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.30/1.67 , Z ), Y ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Y )
% 1.30/1.67 ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ) ) ), =( U,
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.30/1.67 ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), U ), hAPP(
% 1.30/1.67 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ) ), =( Z,
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ) ), =( U, 'c_HOL_Ozero__class_Ozero'( X )
% 1.30/1.67 ), =( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), U ), hAPP(
% 1.30/1.67 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.30/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.30/1.67 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'(
% 1.30/1.67 hAPP( hAPP( 'c_COMBB'( X, X, X ), Y ), Z ), T, hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), U ), W ), X ), ~( 'c_Deriv_Oderiv'( Z
% 1.30/1.67 , T, W, X ) ), ~( 'c_Deriv_Oderiv'( Y, hAPP( Z, T ), U, X ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'(
% 1.30/1.67 hAPP( hAPP( 'c_COMBB'( X, X, X ), Y ), Z ), T, hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), U ), W ), X ), ~( 'c_Deriv_Oderiv'( Y
% 1.30/1.67 , hAPP( Z, T ), U, X ) ), ~( 'c_Deriv_Oderiv'( Z, T, W, X ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_Limits_OZfun'(
% 1.30/1.67 hAPP( hAPP( 'c_COMBB'( X, X, Y ), hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.30/1.67 , Z ) ), T ), U, Y, X ), ~( 'c_Limits_OZfun'( T, U, Y, X ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_Limits_OZfun'(
% 1.30/1.67 hAPP( hAPP( 'c_COMBB'( X, X, Y ), hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.30/1.67 , Z ) ), T ), U, Y, X ), ~( 'c_Limits_OZfun'( T, U, Y, X ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 1.30/1.67 'c_Limits_Otendsto'( hAPP( hAPP( 'c_COMBB'( X, X, Y ), hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), Z ) ), T ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ), W, Y, X ), ~(
% 1.30/1.67 'c_Limits_Otendsto'( T, U, W, Y, X ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 1.30/1.67 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( hAPP( hAPP(
% 1.30/1.67 'c_COMBB'( X, X, Y ), hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ) ), T )
% 1.30/1.67 , U, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), W ), Y, X ), ~(
% 1.30/1.67 'c_Lim_OLIM'( T, U, W, Y, X ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'(
% 1.30/1.67 hAPP( hAPP( 'c_COMBB'( X, X, X ), hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.30/1.67 , Y ) ), Z ), T, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), U )
% 1.30/1.67 , X ), ~( 'c_Deriv_Oderiv'( Z, T, U, X ) ) ],
% 1.30/1.67 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ),
% 1.30/1.67 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.30/1.67 Y, X ), Z ) ) ) ],
% 1.30/1.67 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), X ),
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.30/1.67 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X )
% 1.30/1.67 , Y ), Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ) ],
% 1.30/1.67 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X )
% 1.30/1.67 , Y ), Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 1.30/1.67 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Ozero__class_Ozero'(
% 1.30/1.67 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.30/1.67 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Ominus__class_Ominus'( X ), Y ), T ) ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Ominus__class_Ominus'( X ), Z ), U ) ) ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Ominus__class_Ominus'( X ), Y ), T ) ), U ) ) ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), T ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Ominus__class_Ominus'( X ), Z ), U ) ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.30/1.67 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Ominus__class_Ominus'( X ), T ), Y ) ), Z ) ), U ) ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.30/1.67 X ), T ), Z ) ), U ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( 'class_Int_Onumber'( X )
% 1.30/1.67 ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.30/1.67 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.30/1.67 , X ) ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.30/1.67 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( 'class_Int_Onumber'( X )
% 1.30/1.67 ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ),
% 1.30/1.67 'c_Int_Onumber__class_Onumber__of'( T, X ) ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.30/1.67 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), Z ),
% 1.30/1.67 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.30/1.67 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.30/1.67 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.30/1.67 X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), U ) ), Z ) ), T
% 1.30/1.67 ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.30/1.67 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.30/1.67 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ) ) ), =( hAPP(
% 1.30/1.67 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Ominus__class_Ominus'( X ), Y ), U ) ), Z ) ), T ), W ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.30/1.67 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.30/1.67 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ) ) ), =( T, hAPP(
% 1.30/1.67 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Ominus__class_Ominus'( X ), U ), Y ) ), Z ) ), W ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.30/1.67 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.30/1.67 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.30/1.67 ), ~( =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.30/1.67 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ),
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.30/1.67 ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X ),
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP(
% 1.30/1.67 hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ),
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.30/1.67 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.30/1.67 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ),
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z )
% 1.30/1.67 , X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), T ), Z ) ) ), ~(
% 1.30/1.67 hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) )
% 1.30/1.67 ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.30/1.67 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 1.30/1.67 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.30/1.67 hAPP( 'c_Suc', Y ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.30/1.67 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.30/1.67 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.30/1.67 hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) )
% 1.30/1.67 ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Oinverse'( X ), hAPP( hAPP(
% 1.30/1.67 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.30/1.67 'c_Power_Opower__class_Opower'( X ), hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Oinverse'( X ), Y ) ), Z ) ), =( Y,
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.30/1.67 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.30/1.67 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 1.30/1.67 'c_Power_Opower__class_Opower'( X ), Z ), T ) ) ), =( Z,
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_Lim_OisCont'(
% 1.30/1.67 hAPP( 'c_COMBC'( 'c_HOL_Otimes__class_Otimes'( X ), X, X, X ), Y ), Z, X
% 1.30/1.67 , X ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_Lim_OLIM'(
% 1.30/1.67 hAPP( 'c_COMBC'( 'c_HOL_Otimes__class_Otimes'( X ), X, X, X ), Y ), Z,
% 1.30/1.67 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ), X, X ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_SEQ_OCauchy'(
% 1.30/1.67 hAPP( hAPP( 'c_COMBB'( X, X, 'tc_nat' ), hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), Y ) ), Z ), X ), ~( 'c_SEQ_OCauchy'( Z
% 1.30/1.67 , X ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.30/1.67 hAPP( hAPP( 'c_COMBB'( X, X, 'tc_nat' ), hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), Y ) ), Z ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), ~( 'c_SEQ_OLIMSEQ'( Z,
% 1.30/1.67 T, X ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_SEQ_OZseq'(
% 1.30/1.67 hAPP( hAPP( 'c_COMBB'( X, X, 'tc_nat' ), hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), Y ) ), Z ), X ), ~( 'c_SEQ_OZseq'( Z,
% 1.30/1.67 X ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_SEQ_OZseq'(
% 1.30/1.67 hAPP( hAPP( 'c_COMBB'( X, X, 'tc_nat' ), hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), Y ) ), Z ), X ), ~( 'c_SEQ_OZseq'( Z,
% 1.30/1.67 X ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 1.30/1.67 'c_Series_Osummable'( hAPP( hAPP( 'c_COMBB'( X, X, 'tc_nat' ), hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), Y ) ), Z ), X ), ~(
% 1.30/1.67 'c_Series_Osummable'( Z, X ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 1.30/1.67 'c_Series_Osummable'( hAPP( hAPP( 'c_COMBB'( X, X, 'tc_nat' ), hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), Y ) ), Z ), X ), ~(
% 1.30/1.67 'c_Series_Osummable'( Z, X ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_Series_Osums'(
% 1.30/1.67 hAPP( hAPP( 'c_COMBB'( X, X, 'tc_nat' ), hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), Y ) ), Z ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), ~( 'c_Series_Osums'( Z
% 1.30/1.67 , T, X ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_Series_Osums'(
% 1.30/1.67 hAPP( hAPP( 'c_COMBB'( X, X, 'tc_nat' ), hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), Y ) ), Z ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), ~( 'c_Series_Osums'( Z
% 1.30/1.67 , T, X ) ) ],
% 1.30/1.67 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.30/1.67 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.30/1.67 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.30/1.67 'c_Power_Opower__class_Opower'( X ), Y ), T ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.30/1.67 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP(
% 1.30/1.67 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.30/1.67 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 1.30/1.67 [ ~( 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 1.30/1.67 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP(
% 1.30/1.67 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.30/1.67 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 1.30/1.67 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.30/1.67 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP(
% 1.30/1.67 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.30/1.67 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), Y ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.30/1.67 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP(
% 1.30/1.67 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.30/1.67 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.30/1.67 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.30/1.67 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 1.30/1.67 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.30/1.67 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.30/1.67 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.30/1.67 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), Y ), hAPP( hAPP(
% 1.30/1.67 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ) ) ],
% 1.30/1.67 [ ~( 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 1.30/1.67 'c_Power_Opower__class_Opower'( X ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.30/1.67 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.30/1.67 'c_Power_Opower__class_Opower'( X ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.30/1.67 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.30/1.67 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 1.30/1.67 'c_Complete__Lattice_OSup__class_OSup'( 'c_Orderings_Obot__class_Obot'(
% 1.30/1.67 'tc_fun'( X, 'tc_bool' ) ), X ), 'c_Orderings_Obot__class_Obot'( X ) ) ]
% 1.30/1.67 ,
% 1.30/1.67 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 1.30/1.67 'c_Complete__Lattice_OSup__class_OSup'( 'c_Set_Oinsert'( Y,
% 1.30/1.67 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X ), Y )
% 1.30/1.67 ],
% 1.30/1.67 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), hAPP(
% 1.30/1.67 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ),
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.30/1.67 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.30/1.67 'tc_nat' ), 'tc_nat' ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.30/1.67 'tc_nat' ), X ), Y ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y,
% 1.30/1.67 'tc_nat' ), X ) ) ) ],
% 1.30/1.67 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), ~( hBOOL(
% 1.30/1.67 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.30/1.67 'tc_nat' ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), X
% 1.30/1.67 ) ) ) ) ],
% 1.30/1.67 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ),
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.30/1.67 X, 'tc_nat' ), Y ) ) ) ],
% 1.30/1.67 [ ~( =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ),
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), hBOOL( hAPP( 'c_lessequals'(
% 1.30/1.67 X, 'tc_nat' ), Y ) ) ],
% 1.30/1.67 [ hBOOL( hAPP( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( hBOOL(
% 1.30/1.67 hAPP( 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), Z ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 X, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ) ) ) ]
% 1.30/1.67 ,
% 1.30/1.67 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), X ) ),
% 1.30/1.67 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.30/1.67 'tc_nat' ), 'tc_nat' ), X ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.30/1.67 'tc_nat' ), Y ) ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'(
% 1.30/1.67 hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( 'tc_nat', X ), X ),
% 1.30/1.67 'c_Power_Opower__class_Opower'( X ) ), Y ), X, 'tc_nat', X ), Z ), T,
% 1.30/1.67 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.30/1.67 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), U ), hAPP( hAPP(
% 1.30/1.67 'c_Power_Opower__class_Opower'( X ), hAPP( Y, T ) ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), hAPP( 'c_Suc',
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ) ), X ), ~(
% 1.30/1.67 'c_Deriv_Oderiv'( Y, T, U, X ) ) ],
% 1.30/1.67 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 1.30/1.67 'c_Complete__Lattice_OSup__class_OSup'( 'c_Set_Oinsert'( Y, Z, X ), X ),
% 1.30/1.67 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.30/1.67 'c_Complete__Lattice_OSup__class_OSup'( Z, X ), X ) ) ],
% 1.30/1.67 [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 1.30/1.67 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.30/1.67 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ) ) ), ~( hBOOL(
% 1.30/1.67 hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ) ],
% 1.30/1.67 [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_Orderings_Obot__class_Obot'(
% 1.30/1.67 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.30/1.67 Y, Z, X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ],
% 1.30/1.67 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 1.30/1.67 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 1.30/1.67 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL(
% 1.30/1.67 hAPP( 'c_lessequals'( Z, X ), Y ) ) ) ],
% 1.30/1.67 [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 1.30/1.67 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 1.30/1.67 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), ~( hBOOL(
% 1.30/1.67 hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ) ],
% 1.30/1.67 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 1.30/1.67 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 1.30/1.67 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ],
% 1.30/1.67 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 1.30/1.67 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.30/1.67 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 1.30/1.67 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, X ), 'tc_fun'( X,
% 1.30/1.67 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 1.30/1.67 ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.30/1.67 'c_Series_Osummable'( Y, X ) ), =( 'c_Series_Osuminf'( hAPP( hAPP(
% 1.30/1.67 'c_COMBB'( 'tc_nat', X, 'tc_nat' ), Y ), hAPP( 'c_COMBC'(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'tc_nat', 'tc_nat', 'tc_nat' ), Z
% 1.30/1.67 ) ), X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ),
% 1.30/1.67 'c_Series_Osuminf'( Y, X ) ), hAPP( hAPP( 'c_Finite__Set_Osetsum'(
% 1.30/1.67 'tc_nat', X ), Y ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ) ) ) ) ],
% 1.30/1.67 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.30/1.67 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.30/1.67 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 1.30/1.67 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, X ), 'tc_fun'( X,
% 1.30/1.67 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, T, X ) )
% 1.30/1.67 , ~( hBOOL( hAPP( 'c_lessequals'( Z, X ), T ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( Y, X ), Z ) ) ) ],
% 1.30/1.67 [ =( 'c_GCD_Ogcd__class_OGCD'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.30/1.67 'tc_nat', 'tc_bool' ) ), 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.30/1.67 ) ) ],
% 1.30/1.67 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 1.30/1.67 'c_SetInterval_Oord__class_OgreaterThanLessThan'( Y, Z, X ),
% 1.30/1.67 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL(
% 1.30/1.67 hAPP( 'c_lessequals'( Z, X ), Y ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.30/1.67 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.30/1.67 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.30/1.67 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), =(
% 1.30/1.67 'c_Nat_Osemiring__1__class_Oof__nat'( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ), X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Ominus__class_Ominus'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'(
% 1.30/1.67 Y, X ) ), 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ), ~( hBOOL(
% 1.30/1.67 hAPP( 'c_lessequals'( Z, 'tc_nat' ), Y ) ) ) ],
% 1.30/1.67 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), hAPP( 'c_Suc', Y ) ),
% 1.30/1.67 'tc_nat' ), X ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), X ) ) ) ],
% 1.30/1.67 [ =( hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' )
% 1.30/1.67 , X ), hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), X ),
% 1.30/1.67 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.30/1.67 'tc_nat' ), 'tc_nat' ), X ) ) ) ],
% 1.30/1.67 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 1.30/1.67 , Z ), 'c_Set_Oinsert'( X, T, Z ), 'tc_fun'( Z, 'tc_bool' ) ),
% 1.30/1.67 'c_Set_Oinsert'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 1.30/1.67 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_Series_Osums'(
% 1.30/1.67 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), 'tc_nat' ),
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( X ) ), Y ), Z, 'tc_nat', X, X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~( 'c_Series_Osums'( Z, U
% 1.30/1.67 , X ) ), ~( 'c_Series_Osums'( Y, T, X ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 1.30/1.67 'c_Series_Osummable'( 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X
% 1.30/1.67 ), 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( X ) ), Y ), Z, 'tc_nat', X, X
% 1.30/1.67 ), X ), ~( 'c_Series_Osummable'( Z, X ) ), ~( 'c_Series_Osummable'( Y, X
% 1.30/1.67 ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.30/1.67 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), 'tc_nat' ),
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( X ) ), Y ), Z, 'tc_nat', X, X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~( 'c_SEQ_OLIMSEQ'( Z, U
% 1.30/1.67 , X ) ), ~( 'c_SEQ_OLIMSEQ'( Y, T, X ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OZseq'(
% 1.30/1.67 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), 'tc_nat' ),
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( X ) ), Y ), Z, 'tc_nat', X, X ), X ), ~(
% 1.30/1.67 'c_SEQ_OZseq'( Z, X ) ), ~( 'c_SEQ_OZseq'( Y, X ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ),
% 1.30/1.67 'c_Series_Osummable'( hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'(
% 1.30/1.67 X, X ), 'tc_nat' ), 'c_HOL_Oinverse__class_Odivide'( X ) ), Y ), 'tc_nat'
% 1.30/1.67 , X, X ), Z ), X ), ~( 'c_Series_Osummable'( Y, X ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ),
% 1.30/1.67 'c_Series_Osummable'( hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'(
% 1.30/1.67 X, X ), 'tc_nat' ), 'c_HOL_Oinverse__class_Odivide'( X ) ), Y ), 'tc_nat'
% 1.30/1.67 , X, X ), Z ), X ), ~( 'c_Series_Osummable'( Y, X ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.30/1.67 hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), 'tc_nat' ),
% 1.30/1.67 'c_HOL_Oinverse__class_Odivide'( X ) ), Y ), 'tc_nat', X, X ), Z ), hAPP(
% 1.30/1.67 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ), ~(
% 1.30/1.67 'c_SEQ_OLIMSEQ'( Y, T, X ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_SEQ_OZseq'( hAPP(
% 1.30/1.67 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), 'tc_nat' ),
% 1.30/1.67 'c_HOL_Oinverse__class_Odivide'( X ) ), Y ), 'tc_nat', X, X ), Z ), X ),
% 1.30/1.67 ~( 'c_SEQ_OZseq'( Y, X ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_SEQ_OCauchy'(
% 1.30/1.67 hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), 'tc_nat' ),
% 1.30/1.67 'c_HOL_Oinverse__class_Odivide'( X ) ), Y ), 'tc_nat', X, X ), Z ), X ),
% 1.30/1.67 ~( 'c_SEQ_OCauchy'( Y, X ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Series_Osums'(
% 1.30/1.67 hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), 'tc_nat' ),
% 1.30/1.67 'c_HOL_Oinverse__class_Odivide'( X ) ), Y ), 'tc_nat', X, X ), Z ), hAPP(
% 1.30/1.67 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ), ~(
% 1.30/1.67 'c_Series_Osums'( Y, T, X ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Series_Osums'(
% 1.30/1.67 hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), 'tc_nat' ),
% 1.30/1.67 'c_HOL_Oinverse__class_Odivide'( X ) ), Y ), 'tc_nat', X, X ), Z ), hAPP(
% 1.30/1.67 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ), ~(
% 1.30/1.67 'c_Series_Osums'( Y, T, X ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.30/1.67 hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), 'tc_nat' ),
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( X ) ), Y ), 'tc_nat', X, X ), Z ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~( 'c_SEQ_OLIMSEQ'( Y, T
% 1.30/1.67 , X ) ) ],
% 1.30/1.67 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.30/1.67 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Y ), ~( hBOOL(
% 1.30/1.67 hAPP( 'c_lessequals'( Z, X ), Y ) ) ) ],
% 1.30/1.67 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =(
% 1.30/1.67 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ) ), hBOOL(
% 1.30/1.67 hAPP( 'c_lessequals'( Y, X ), Z ) ) ],
% 1.30/1.67 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.30/1.67 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ), ~( hBOOL(
% 1.30/1.67 hAPP( 'c_lessequals'( Y, X ), Z ) ) ) ],
% 1.30/1.67 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.30/1.67 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.30/1.67 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ), Y ) ],
% 1.30/1.67 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 1.30/1.67 X ), T ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, X ), T ) ) ), ~( hBOOL(
% 1.30/1.67 hAPP( 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.30/1.67 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 1.30/1.67 X ), T ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, X ), T ) ) ), ~( hBOOL(
% 1.30/1.67 hAPP( 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.30/1.67 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( Y, X ), 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 1.30/1.67 Y, X ) ) ) ],
% 1.30/1.67 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( Y, X ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.30/1.67 Z, X ) ) ) ],
% 1.30/1.67 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 1.30/1.67 X ), T ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, X ), T ) ) ), ~( hBOOL(
% 1.30/1.67 hAPP( 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.30/1.67 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X
% 1.30/1.67 ), 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ) ],
% 1.30/1.67 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X
% 1.30/1.67 ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ) ],
% 1.30/1.67 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.30/1.67 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ) ) ), ~( hBOOL(
% 1.30/1.67 hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.30/1.67 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.30/1.67 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ) ) ), ~( hBOOL(
% 1.30/1.67 hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ) ],
% 1.30/1.67 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.30/1.67 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y, X ), X ), Z ) ) ) ]
% 1.30/1.67 ,
% 1.30/1.67 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.30/1.67 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ), Z ) ) ) ]
% 1.30/1.67 ,
% 1.30/1.67 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( Y, X ), 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 1.30/1.67 T, X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.30/1.67 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( Y, X ), 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 1.30/1.67 T, X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), Z ) ) ) ],
% 1.30/1.67 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.30/1.67 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y, X ), X ), Z ) ) ) ]
% 1.30/1.67 ,
% 1.30/1.67 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.30/1.67 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ), Z ) ) ) ]
% 1.30/1.67 ,
% 1.30/1.67 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 1.30/1.67 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.30/1.67 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 1.30/1.67 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.30/1.67 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ),
% 1.30/1.67 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 1.30/1.67 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 1.30/1.67 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.30/1.67 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 1.30/1.67 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.30/1.67 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 1.30/1.67 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 1.30/1.67 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.30/1.67 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.30/1.67 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), Y ) ],
% 1.30/1.67 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 1.30/1.67 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.30/1.67 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 1.30/1.67 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.30/1.67 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ),
% 1.30/1.67 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 1.30/1.67 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 1.30/1.67 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.30/1.67 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 1.30/1.67 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.30/1.67 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 1.30/1.67 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 1.30/1.67 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__join'( X ) ), =(
% 1.30/1.67 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.30/1.67 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ), T ),
% 1.30/1.67 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 1.30/1.67 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__join'( X ) ), =(
% 1.30/1.67 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.30/1.67 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ) ),
% 1.30/1.67 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ) ) ],
% 1.30/1.67 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 1.30/1.67 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.30/1.67 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ) ),
% 1.30/1.67 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ) ) ],
% 1.30/1.67 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 1.30/1.67 hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.30/1.67 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ), T ),
% 1.30/1.67 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 1.30/1.67 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), Z ) ),
% 1.30/1.67 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Z ) ) ) ],
% 1.30/1.67 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( 'c_Suc'
% 1.30/1.67 , X ) ), hAPP( 'c_Suc', Y ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.30/1.67 'tc_nat' ), X ), Y ) ) ],
% 1.30/1.67 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP(
% 1.30/1.67 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Z ) ) ), ~( hBOOL(
% 1.30/1.67 hAPP( 'c_HOL_Oord__class_Oless'( Z, 'tc_nat' ), X ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( Z, 'tc_nat' ), Y ) ) ) ],
% 1.30/1.67 [ ~( hBOOL( hAPP( X, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat'
% 1.30/1.67 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ), Y ) )
% 1.30/1.67 ) ), hBOOL( hAPP( X, Z ) ) ],
% 1.30/1.67 [ ~( hBOOL( hAPP( X, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat'
% 1.30/1.67 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ), Y ) )
% 1.30/1.67 ) ), hBOOL( hAPP( X, Z ) ) ],
% 1.30/1.67 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ) ],
% 1.30/1.67 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ) ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Z ) ) ],
% 1.30/1.67 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( 'c_Suc', X ) ), Y ) ),
% 1.30/1.67 hAPP( 'c_Suc', Z ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat'
% 1.30/1.67 ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Z )
% 1.30/1.67 ) ],
% 1.30/1.67 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), hAPP(
% 1.30/1.67 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Y ), ~( hBOOL(
% 1.30/1.67 hAPP( 'c_lessequals'( Y, 'tc_nat' ), X ) ) ) ],
% 1.30/1.67 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X )
% 1.30/1.67 , Z ), 'tc_nat' ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ),
% 1.30/1.67 Y ), Z ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, 'tc_nat' ), Y ) ) ),
% 1.30/1.67 ~( hBOOL( hAPP( 'c_lessequals'( Z, 'tc_nat' ), X ) ) ) ],
% 1.30/1.67 [ hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.30/1.67 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), Y ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( X, 'tc_nat' ), Z ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y
% 1.30/1.67 , 'tc_nat' ), Z ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, 'tc_nat' ), X )
% 1.30/1.67 ) ) ],
% 1.30/1.67 [ hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.30/1.67 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), Y ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( X, 'tc_nat' ), Z ) ) ) ],
% 1.30/1.67 [ hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.30/1.67 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( Z, 'tc_nat' ), Y ) ) ) ],
% 1.30/1.67 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.30/1.67 [ ~( =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ),
% 1.30/1.67 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), Y ) ) ), ~(
% 1.30/1.67 hBOOL( hAPP( 'c_lessequals'( Y, 'tc_nat' ), Z ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( Y, 'tc_nat' ), X ) ) ), =( X, Z ) ],
% 1.30/1.67 [ hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.30/1.67 'tc_nat' ), X ), Y ), 'tc_nat' ), X ) ) ],
% 1.30/1.67 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.30/1.67 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), hAPP(
% 1.30/1.67 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ) ],
% 1.30/1.67 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), Y ) ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Z ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( Y, 'tc_nat' ), Z ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y
% 1.30/1.67 , 'tc_nat' ), X ) ) ) ],
% 1.30/1.67 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), X ), Y ) ],
% 1.30/1.67 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Y ), X ) ],
% 1.30/1.67 [ =( 'c_Set_Ovimage'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y
% 1.30/1.67 , Z, 'tc_fun'( T, 'tc_bool' ) ), U, T ),
% 1.30/1.67 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Ovimage'( X, Y, U, T
% 1.30/1.67 ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 1.30/1.67 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 1.30/1.67 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 1.30/1.67 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 1.30/1.67 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.30/1.67 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( T,
% 1.30/1.67 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z,
% 1.30/1.67 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.30/1.67 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.30/1.67 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.30/1.67 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 1.30/1.67 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.30/1.67 'c_Lattices_Oupper__semilattice__class_Osup'( X, T, 'tc_fun'( Z,
% 1.30/1.67 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 1.30/1.67 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.30/1.67 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 1.30/1.67 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 1.30/1.67 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 1.30/1.67 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.30/1.67 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( T,
% 1.30/1.67 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z,
% 1.30/1.67 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.30/1.67 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.30/1.67 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 1.30/1.67 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 1.30/1.67 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.30/1.67 'c_Lattices_Olower__semilattice__class_Oinf'( X, T, 'tc_fun'( Z,
% 1.30/1.67 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 1.30/1.67 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.30/1.67 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.30/1.67 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.30/1.67 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.30/1.67 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 1.30/1.67 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 1.30/1.67 'c_Lattices_Olower__semilattice__class_Oinf'( T, X, 'tc_fun'( Z,
% 1.30/1.67 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 1.30/1.67 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.30/1.67 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.30/1.67 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 1.30/1.67 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 1.30/1.67 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 1.30/1.67 'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( Z,
% 1.30/1.67 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_SEQ_OLIMSEQ'( hAPP(
% 1.30/1.67 hAPP( 'c_COMBB'( 'tc_nat', X, 'tc_nat' ), Y ), hAPP( 'c_COMBC'(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'tc_nat', 'tc_nat', 'tc_nat' )
% 1.30/1.67 , Z ) ), T, X ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), Z ) ) ), ~(
% 1.30/1.67 'c_SEQ_OLIMSEQ'( Y, T, X ) ) ],
% 1.30/1.67 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_Finite__Set_Osetsum'(
% 1.30/1.67 'tc_nat', X ), Y ), 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T,
% 1.30/1.67 'tc_nat' ) ) ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ),
% 1.30/1.67 'c_SetInterval_Oord__class_OatLeastLessThan'( T, U, 'tc_nat' ) ) ), hAPP(
% 1.30/1.67 hAPP( 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ),
% 1.30/1.67 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, U, 'tc_nat' ) ) ), ~(
% 1.30/1.67 hBOOL( hAPP( 'c_lessequals'( T, 'tc_nat' ), U ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( Z, 'tc_nat' ), T ) ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 1.30/1.67 'c_Series_Osummable'( hAPP( hAPP( 'c_COMBB'( 'tc_nat', X, 'tc_nat' ), Y )
% 1.30/1.67 , hAPP( 'c_COMBC'( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'tc_nat',
% 1.30/1.67 'tc_nat', 'tc_nat' ), Z ) ), X ), ~( 'c_Series_Osummable'( Y, X ) ) ]
% 1.30/1.67 ,
% 1.30/1.67 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_SEQ_OLIMSEQ'( hAPP(
% 1.30/1.67 hAPP( 'c_COMBB'( 'tc_nat', X, 'tc_nat' ), Y ), hAPP( 'c_COMBC'(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'tc_nat', 'tc_nat', 'tc_nat' ), Z
% 1.30/1.67 ) ), T, X ), ~( 'c_SEQ_OLIMSEQ'( Y, T, X ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_SEQ_OLIMSEQ'( Y, Z, X
% 1.30/1.67 ), ~( 'c_SEQ_OLIMSEQ'( hAPP( hAPP( 'c_COMBB'( 'tc_nat', X, 'tc_nat' ), Y
% 1.30/1.67 ), hAPP( 'c_COMBC'( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'tc_nat',
% 1.30/1.67 'tc_nat', 'tc_nat' ), T ) ), Z, X ) ) ],
% 1.30/1.67 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 1.30/1.67 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.30/1.67 'c_SetInterval_Oord__class_OatMost'( Y, X ),
% 1.30/1.67 'c_SetInterval_Oord__class_OgreaterThanLessThan'( Y, Z, X ), 'tc_fun'( X
% 1.30/1.67 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' )
% 1.30/1.67 ) ) ],
% 1.30/1.67 [ =( 'c_SetInterval_Oord__class_OatLeastLessThan'( X, hAPP( 'c_Suc', Y )
% 1.30/1.67 , 'tc_nat' ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_nat',
% 1.30/1.67 'tc_bool' ) ) ), hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ) ],
% 1.30/1.67 [ =( 'c_SetInterval_Oord__class_OatLeastLessThan'( X, hAPP( 'c_Suc', Y )
% 1.30/1.67 , 'tc_nat' ), 'c_Set_Oinsert'( Y,
% 1.30/1.67 'c_SetInterval_Oord__class_OatLeastLessThan'( X, Y, 'tc_nat' ), 'tc_nat'
% 1.30/1.67 ) ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ) ) ],
% 1.30/1.67 [ ~( =( 'c_FFT__Mirabelle_Oroot'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.30/1.67 'tc_Complex_Ocomplex' ) ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Lim_OLIM'(
% 1.30/1.67 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), X ),
% 1.30/1.67 'c_HOL_Oinverse__class_Odivide'( X ) ), hAPP( 'c_COMBC'( hAPP( hAPP(
% 1.30/1.67 'c_COMBB'( X, 'tc_fun'( X, X ), X ), 'c_HOL_Ominus__class_Ominus'( X ) )
% 1.30/1.67 , Y ), X, X, X ), hAPP( Y, Z ) ) ), hAPP( 'c_COMBC'(
% 1.30/1.67 'c_HOL_Ominus__class_Ominus'( X ), X, X, X ), Z ), X, X, X ), Z, T, X, X
% 1.30/1.67 ), ~( 'c_Deriv_Oderiv'( Y, Z, T, X ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'( Y
% 1.30/1.67 , Z, T, X ), ~( 'c_Lim_OLIM'( 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( X,
% 1.30/1.67 'tc_fun'( X, X ), X ), 'c_HOL_Oinverse__class_Odivide'( X ) ), hAPP(
% 1.30/1.67 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), X ),
% 1.30/1.67 'c_HOL_Ominus__class_Ominus'( X ) ), Y ), X, X, X ), hAPP( Y, Z ) ) ),
% 1.30/1.67 hAPP( 'c_COMBC'( 'c_HOL_Ominus__class_Ominus'( X ), X, X, X ), Z ), X, X
% 1.30/1.67 , X ), Z, T, X, X ) ) ],
% 1.30/1.67 [ =( 'c_SetInterval_Oord__class_OatLeastLessThan'( X, hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ), 'tc_nat' ),
% 1.30/1.67 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.30/1.67 'c_SetInterval_Oord__class_OatLeastLessThan'( X, Y, 'tc_nat' ),
% 1.30/1.67 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ), 'tc_nat' ), 'tc_fun'(
% 1.30/1.67 'tc_nat', 'tc_bool' ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' )
% 1.30/1.67 , Y ) ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.30/1.67 'c_Series_Osuminf'( Y, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.30/1.67 hAPP( hAPP( 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ),
% 1.30/1.67 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.30/1.67 'tc_nat' ), Z, 'tc_nat' ) ) ), 'c_Series_Osuminf'( hAPP( hAPP( 'c_COMBB'(
% 1.30/1.67 'tc_nat', X, 'tc_nat' ), Y ), hAPP( 'c_COMBC'( 'c_HOL_Oplus__class_Oplus'(
% 1.30/1.67 'tc_nat' ), 'tc_nat', 'tc_nat', 'tc_nat' ), Z ) ), X ) ) ), ~(
% 1.30/1.67 'c_Series_Osummable'( Y, X ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), ~(
% 1.30/1.67 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( hAPP( 'c_COMBC'(
% 1.30/1.67 hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y ),
% 1.30/1.67 'c_HOL_Oinverse__class_Odivide'( X ) ), Z ), Y, X, X ), T ), U,
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_Lim_OLIM'( Z, U,
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ),
% 1.30/1.67 'c_Deriv_Odifferentiable'( 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'(
% 1.30/1.67 X, X ), X ), 'c_HOL_Oinverse__class_Odivide'( X ) ), Y ), Z, X, X, X ), T
% 1.30/1.67 , X ), =( hAPP( Z, T ), 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 1.30/1.67 'c_Deriv_Odifferentiable'( Z, T, X ) ), ~( 'c_Deriv_Odifferentiable'( Y,
% 1.30/1.67 T, X ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.30/1.67 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBS'( hAPP(
% 1.30/1.67 hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y ), 'c_HOL_Oplus__class_Oplus'( X
% 1.30/1.67 ) ), Z ), T, Y, X, X ), U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.30/1.67 'c_Lim_OLIM'( T, U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.30/1.67 'c_Lim_OLIM'( Z, U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Limits_Otendsto'(
% 1.30/1.67 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y ),
% 1.30/1.67 'c_HOL_Oinverse__class_Odivide'( X ) ), Z ), T, Y, X, X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Odivide'( X ), U ), W ), V0, Y, X ), =( W,
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Limits_Otendsto'( T, W, V0, Y, X
% 1.30/1.67 ) ), ~( 'c_Limits_Otendsto'( Z, U, V0, Y, X ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.30/1.67 , Y ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), X ),
% 1.30/1.67 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ), ~( hBOOL(
% 1.30/1.67 hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 1.30/1.67 ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 1.30/1.67 'class_RealVector_Oreal__normed__vector'( Y ) ), 'c_Lim_OLIM'( hAPP( hAPP(
% 1.30/1.67 'c_COMBB'( Y, X, Y ), Z ), hAPP( 'c_COMBC'( 'c_HOL_Oplus__class_Oplus'( Y
% 1.30/1.67 ), Y, Y, Y ), T ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( Y ), U )
% 1.30/1.67 , T ), W, Y, X ), ~( 'c_Lim_OLIM'( Z, U, W, Y, X ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_Limits_OZfun'(
% 1.30/1.67 hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y ),
% 1.30/1.67 'c_HOL_Ominus__class_Ominus'( X ) ), Z ), Y, X, X ), T ), U, Y, X ), ~(
% 1.30/1.67 'c_Limits_Otendsto'( Z, T, U, Y, X ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 1.30/1.67 'c_Limits_Otendsto'( Y, Z, T, U, X ), ~( 'c_Limits_OZfun'( hAPP(
% 1.30/1.67 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), U ),
% 1.30/1.67 'c_HOL_Ominus__class_Ominus'( X ) ), Y ), U, X, X ), Z ), T, U, X ) ) ]
% 1.30/1.67 ,
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'(
% 1.30/1.67 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), X ),
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ) ), Y ), Z, X, X, X ), T, hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.30/1.67 X ), U ), hAPP( Z, T ) ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.30/1.67 , W ), hAPP( Y, T ) ) ), X ), ~( 'c_Deriv_Oderiv'( Z, T, W, X ) ), ~(
% 1.30/1.67 'c_Deriv_Oderiv'( Y, T, U, X ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'(
% 1.30/1.67 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), X ),
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ) ), Y ), Z, X, X, X ), T, hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.30/1.67 X ), hAPP( Y, T ) ), U ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.30/1.67 , W ), hAPP( Z, T ) ) ), X ), ~( 'c_Deriv_Oderiv'( Z, T, U, X ) ), ~(
% 1.30/1.67 'c_Deriv_Oderiv'( Y, T, W, X ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.30/1.67 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.30/1.67 hAPP( 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.30/1.67 ) ), 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ) ) ) ), hBOOL(
% 1.30/1.67 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.30/1.67 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.30/1.67 hAPP( 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.30/1.67 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.30/1.67 'class_Power_Opower'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y
% 1.30/1.67 , 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( hAPP( hAPP(
% 1.30/1.67 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.30/1.67 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ),
% 1.30/1.67 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.30/1.67 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.30/1.67 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), X ),
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( hAPP( hAPP(
% 1.30/1.67 'c_Power_Opower__class_Opower'( X ), Y ), Z ), hAPP( hAPP(
% 1.30/1.67 'c_Power_Opower__class_Opower'( X ), T ), Z ) ) ), =( Y, T ), ~( hBOOL(
% 1.30/1.67 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.30/1.67 'tc_nat' ), Z ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.30/1.67 hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y, X ), 'tc_fun'(
% 1.30/1.67 'tc_fun'( Y, 'tc_bool' ), X ), 'tc_nat' ), 'c_Finite__Set_Osetsum'( Y, X
% 1.30/1.67 ) ), 'c_COMBC'( Z, Y, 'tc_nat', X ) ), 'tc_nat', 'tc_fun'( Y, 'tc_bool'
% 1.30/1.67 ), X ), T ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y, X ), U ), T ), X )
% 1.30/1.67 , ~( 'c_SEQ_OLIMSEQ'( hAPP( Z, 'c_SEQ_Osko__SEQ__XLIMSEQ__setsum__1__1'(
% 1.30/1.67 U, T, Z, Y, X ) ), hAPP( U, 'c_SEQ_Osko__SEQ__XLIMSEQ__setsum__1__1'( U,
% 1.30/1.67 T, Z, Y, X ) ), X ) ) ],
% 1.30/1.67 [ =( 'c_FFT__Mirabelle_Oroot'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 1.30/1.67 , 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ) ) ],
% 1.30/1.67 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'v_i', 'tc_nat' ), 'v_n' ) ) ]
% 1.30/1.67 ,
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'(
% 1.30/1.67 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), X ),
% 1.30/1.67 'c_HOL_Oinverse__class_Odivide'( X ) ), Y ), Z, X, X, X ), T, hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), U ), hAPP( Z, T ) ) ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), W ), hAPP( Y, T ) ) ) ), hAPP( hAPP(
% 1.30/1.67 'c_Power_Opower__class_Opower'( X ), hAPP( Z, T ) ), hAPP( 'c_Suc', hAPP(
% 1.30/1.67 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ), X ), =( hAPP( Z
% 1.30/1.67 , T ), 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Deriv_Oderiv'( Z, T, W, X
% 1.30/1.67 ) ), ~( 'c_Deriv_Oderiv'( Y, T, U, X ) ) ],
% 1.30/1.67 [ =( 'c_GCD_Ogcd__class_OLCM'( 'c_Set_Oinsert'( X,
% 1.30/1.67 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_nat', 'tc_bool' ) ),
% 1.30/1.67 'tc_nat' ), 'tc_nat' ), X ) ],
% 1.30/1.67 [ =( 'c_GCD_Ogcd__class_OGCD'( 'c_Set_Oinsert'( X,
% 1.30/1.67 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_nat', 'tc_bool' ) ),
% 1.30/1.67 'tc_nat' ), 'tc_nat' ), X ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'(
% 1.30/1.67 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), X ),
% 1.30/1.67 'c_HOL_Oinverse__class_Odivide'( X ) ), Y ), Z, X, X, X ), T, hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), U ), hAPP( Z, T ) ) ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), hAPP( Y, T ) ), W ) ) ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), hAPP( Z, T ) ), hAPP( Z, T ) ) ), X )
% 1.30/1.67 , =( hAPP( Z, T ), 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Deriv_Oderiv'(
% 1.30/1.67 Z, T, W, X ) ), ~( 'c_Deriv_Oderiv'( Y, T, U, X ) ) ],
% 1.30/1.67 [ =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' )
% 1.30/1.67 , 'c_FFT__Mirabelle_Oroot'( X ) ), X ), 'c_HOL_Oone__class_Oone'(
% 1.30/1.67 'tc_Complex_Ocomplex' ) ) ],
% 1.30/1.67 [ =( 'c_SetInterval_Oord__class_OatLeastLessThan'( hAPP( 'c_Suc', X ), Y
% 1.30/1.67 , 'tc_nat' ), 'c_SetInterval_Oord__class_OgreaterThanLessThan'( X, Y,
% 1.30/1.67 'tc_nat' ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.30/1.67 'c_Finite__Set_Osetsum'( 'tc_nat', X ), hAPP(
% 1.30/1.67 'c_Power_Opower__class_Opower'( X ), Y ) ),
% 1.30/1.67 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.30/1.67 'tc_nat' ), Z, 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.30/1.67 X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.30/1.67 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), 'c_HOL_Oone__class_Oone'(
% 1.30/1.67 X ) ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ),
% 1.30/1.67 'c_HOL_Oone__class_Oone'( X ) ) ) ), =( Y, 'c_HOL_Oone__class_Oone'( X )
% 1.30/1.67 ) ],
% 1.30/1.67 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.30/1.67 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ),
% 1.30/1.67 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.30/1.67 'tc_nat' ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T )
% 1.30/1.67 , 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.30/1.67 'c_Finite__Set_Osetsum'( 'tc_nat', X ), hAPP( hAPP( 'c_COMBB'( 'tc_nat',
% 1.30/1.67 X, 'tc_nat' ), Y ), hAPP( 'c_COMBC'( 'c_HOL_Oplus__class_Oplus'( 'tc_nat'
% 1.30/1.67 ), 'tc_nat', 'tc_nat', 'tc_nat' ), T ) ) ),
% 1.30/1.67 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.30/1.67 'tc_nat' ), Z, 'tc_nat' ) ) ), hAPP( hAPP( 'c_Finite__Set_Osetsum'(
% 1.30/1.67 'tc_nat', X ), Y ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), T, 'tc_nat' ) ) ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 1.30/1.67 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( hAPP( hAPP(
% 1.30/1.67 'c_COMBB'( X, X, Y ), hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ) ), T )
% 1.30/1.67 , U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_Lim_OLIM'( T, U,
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 1.30/1.67 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( hAPP( hAPP(
% 1.30/1.67 'c_COMBB'( X, X, Y ), hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ) ), T )
% 1.30/1.67 , U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_Lim_OLIM'( T, U,
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ) ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), Y ), U ) ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ), =( U,
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.30/1.67 ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Ominus__class_Ominus'( X ), hAPP( 'c_HOL_Oinverse__class_Oinverse'(
% 1.30/1.67 X ), Y ) ), hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Z ) ), hAPP(
% 1.30/1.67 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Oinverse__class_Oinverse'(
% 1.30/1.67 X ), Y ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Z ), Y ) ) ),
% 1.30/1.67 hAPP( 'c_HOL_Oinverse__class_Oinverse'( X ), Z ) ) ), =( Z,
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.30/1.67 ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 1.30/1.67 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( hAPP( 'c_COMBC'(
% 1.30/1.67 hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y ),
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ) ), Z ), Y, X, X ), T ), U, hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), W ), T ), Y, X ), ~( 'c_Lim_OLIM'( Z,
% 1.30/1.67 U, W, Y, X ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 1.30/1.67 'c_Limits_Otendsto'( hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'(
% 1.30/1.67 X, X ), Y ), 'c_HOL_Otimes__class_Otimes'( X ) ), Z ), Y, X, X ), T ),
% 1.30/1.67 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), T ), W, Y, X ), ~(
% 1.30/1.67 'c_Limits_Otendsto'( Z, U, W, Y, X ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_Limits_OZfun'(
% 1.30/1.67 hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y ),
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ) ), Z ), Y, X, X ), T ), U, Y, X ), ~(
% 1.30/1.67 'c_Limits_OZfun'( Z, U, Y, X ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_Limits_OZfun'(
% 1.30/1.67 hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y ),
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ) ), Z ), Y, X, X ), T ), U, Y, X ), ~(
% 1.30/1.67 'c_Limits_OZfun'( Z, U, Y, X ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 1.30/1.67 'class_RealVector_Oreal__normed__algebra'( Y ) ), 'c_Lim_OisCont'(
% 1.30/1.67 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( Y, 'tc_fun'( Y, Y ), X ),
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( Y ) ), Z ), T, X, Y, Y ), U, X, Y ), ~(
% 1.30/1.67 'c_Lim_OisCont'( T, U, X, Y ) ), ~( 'c_Lim_OisCont'( Z, U, X, Y ) ) ]
% 1.30/1.67 ,
% 1.30/1.67 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 1.30/1.67 'c_Finite__Set_Osetprod'( 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'(
% 1.30/1.67 X, X ), Y ), 'c_HOL_Otimes__class_Otimes'( X ) ), Z ), T, Y, X, X ), U, Y
% 1.30/1.67 , X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.30/1.67 'c_Finite__Set_Osetprod'( Z, U, Y, X ) ), 'c_Finite__Set_Osetprod'( T, U
% 1.30/1.67 , Y, X ) ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_Limits_OZfun'(
% 1.30/1.67 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y ),
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ) ), Z ), T, Y, X, X ), U, Y, X ), ~(
% 1.30/1.67 'c_Limits_OZfun'( T, U, Y, X ) ), ~( 'c_Limits_OZfun'( Z, U, Y, X ) ) ]
% 1.30/1.67 ,
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ),
% 1.30/1.67 'c_Deriv_Odifferentiable'( 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'(
% 1.30/1.67 X, X ), X ), 'c_HOL_Otimes__class_Otimes'( X ) ), Y ), Z, X, X, X ), T, X
% 1.30/1.67 ), ~( 'c_Deriv_Odifferentiable'( Z, T, X ) ), ~(
% 1.30/1.67 'c_Deriv_Odifferentiable'( Y, T, X ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 1.30/1.67 'c_Limits_Otendsto'( 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X
% 1.30/1.67 ), Y ), 'c_HOL_Otimes__class_Otimes'( X ) ), Z ), T, Y, X, X ), hAPP(
% 1.30/1.67 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), W ), V0, Y, X ), ~(
% 1.30/1.67 'c_Limits_Otendsto'( T, W, V0, Y, X ) ), ~( 'c_Limits_Otendsto'( Z, U, V0
% 1.30/1.67 , Y, X ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 1.30/1.67 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBS'( hAPP(
% 1.30/1.67 hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y ), 'c_HOL_Otimes__class_Otimes'(
% 1.30/1.67 X ) ), Z ), T, Y, X, X ), U, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.30/1.67 ), W ), V0 ), Y, X ), ~( 'c_Lim_OLIM'( T, U, V0, Y, X ) ), ~(
% 1.30/1.67 'c_Lim_OLIM'( Z, U, W, Y, X ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.30/1.67 hAPP( 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.30/1.67 ) ), Y ) ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.30/1.67 ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.30/1.67 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.30/1.67 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.30/1.67 ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( =( hAPP( hAPP(
% 1.30/1.67 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.30/1.67 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ),
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP(
% 1.30/1.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.30/1.67 hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.30/1.67 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 1.30/1.67 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( X ) )
% 1.30/1.67 ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.30/1.67 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 1.30/1.67 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.30/1.67 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ),
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_Int_Onumber__class_Onumber__of'(
% 1.30/1.67 Y, 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.30/1.67 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.30/1.67 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.30/1.67 ), =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ),
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.30/1.67 , 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ) ), =(
% 1.30/1.67 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.30/1.67 X ) ) ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 1.30/1.67 'c_Limits_Otendsto'( 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X
% 1.30/1.67 ), Y ), 'c_HOL_Ominus__class_Ominus'( X ) ), Z ), T, Y, X, X ), hAPP(
% 1.30/1.67 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), U ), W ), V0, Y, X ), ~(
% 1.30/1.67 'c_Limits_Otendsto'( T, W, V0, Y, X ) ), ~( 'c_Limits_Otendsto'( Z, U, V0
% 1.30/1.67 , Y, X ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.30/1.67 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBS'( hAPP(
% 1.30/1.67 hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y ), 'c_HOL_Ominus__class_Ominus'(
% 1.30/1.67 X ) ), Z ), T, Y, X, X ), U, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X
% 1.30/1.67 ), W ), V0 ), Y, X ), ~( 'c_Lim_OLIM'( T, U, V0, Y, X ) ), ~(
% 1.30/1.67 'c_Lim_OLIM'( Z, U, W, Y, X ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'(
% 1.30/1.67 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), X ),
% 1.30/1.67 'c_HOL_Ominus__class_Ominus'( X ) ), Y ), Z, X, X, X ), T, hAPP( hAPP(
% 1.30/1.67 'c_HOL_Ominus__class_Ominus'( X ), U ), W ), X ), ~( 'c_Deriv_Oderiv'( Z
% 1.30/1.67 , T, W, X ) ), ~( 'c_Deriv_Oderiv'( Y, T, U, X ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 1.30/1.67 'class_RealVector_Oreal__normed__vector'( Y ) ), 'c_Lim_OisCont'(
% 1.30/1.67 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( Y, 'tc_fun'( Y, Y ), X ),
% 1.30/1.67 'c_HOL_Ominus__class_Ominus'( Y ) ), Z ), T, X, Y, Y ), U, X, Y ), ~(
% 1.30/1.67 'c_Lim_OisCont'( T, U, X, Y ) ), ~( 'c_Lim_OisCont'( Z, U, X, Y ) ) ]
% 1.30/1.67 ,
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_Limits_OZfun'(
% 1.30/1.67 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y ),
% 1.30/1.67 'c_HOL_Ominus__class_Ominus'( X ) ), Z ), T, Y, X, X ), U, Y, X ), ~(
% 1.30/1.67 'c_Limits_OZfun'( T, U, Y, X ) ), ~( 'c_Limits_OZfun'( Z, U, Y, X ) ) ]
% 1.30/1.67 ,
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ),
% 1.30/1.67 'c_Deriv_Odifferentiable'( 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'(
% 1.30/1.67 X, X ), X ), 'c_HOL_Ominus__class_Ominus'( X ) ), Y ), Z, X, X, X ), T, X
% 1.30/1.67 ), ~( 'c_Deriv_Odifferentiable'( Z, T, X ) ), ~(
% 1.30/1.67 'c_Deriv_Odifferentiable'( Y, T, X ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP( 'c_Finite__Set_Osetsum'(
% 1.30/1.67 Y, X ), Z ), T ) ), U ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y, X ),
% 1.30/1.67 hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y ),
% 1.30/1.67 'c_HOL_Oinverse__class_Odivide'( X ) ), Z ), Y, X, X ), U ) ), T ) ) ]
% 1.30/1.67 ,
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP( 'c_Finite__Set_Osetsum'(
% 1.30/1.67 Y, X ), Z ), T ) ), U ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y, X ),
% 1.30/1.67 hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y ),
% 1.30/1.67 'c_HOL_Oinverse__class_Odivide'( X ) ), Z ), Y, X, X ), U ) ), T ) ) ]
% 1.30/1.67 ,
% 1.30/1.67 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.30/1.67 'c_Finite__Set_Osetsum'( Y, X ), 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( X,
% 1.30/1.67 'tc_fun'( X, X ), Y ), 'c_HOL_Oplus__class_Oplus'( X ) ), Z ), T, Y, X, X
% 1.30/1.67 ) ), U ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.30/1.67 'c_Finite__Set_Osetsum'( Y, X ), Z ), U ) ), hAPP( hAPP(
% 1.30/1.67 'c_Finite__Set_Osetsum'( Y, X ), T ), U ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), =( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y
% 1.30/1.67 , X ), Z ), T ) ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( U, X ), W ), V0 )
% 1.30/1.67 ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y, X ), hAPP( 'c_COMBC'( hAPP(
% 1.30/1.67 hAPP( 'c_COMBB'( 'tc_fun'( U, X ), 'tc_fun'( 'tc_fun'( U, 'tc_bool' ), X
% 1.30/1.67 ), Y ), 'c_Finite__Set_Osetsum'( U, X ) ), hAPP( 'c_COMBC'( hAPP( hAPP(
% 1.30/1.67 'c_COMBB'( 'tc_fun'( X, X ), 'tc_fun'( 'tc_fun'( U, X ), 'tc_fun'( U, X )
% 1.30/1.67 ), Y ), 'c_COMBB'( X, X, U ) ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X
% 1.30/1.67 ), Y ), 'c_HOL_Otimes__class_Otimes'( X ) ), Z ) ), Y, 'tc_fun'( U, X )
% 1.30/1.67 , 'tc_fun'( U, X ) ), W ) ), Y, 'tc_fun'( U, 'tc_bool' ), X ), V0 ) ), T
% 1.30/1.67 ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_SEQ_OZseq'(
% 1.30/1.67 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), 'tc_nat' ),
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ) ), Y ), Z, 'tc_nat', X, X ), X ), ~(
% 1.30/1.67 'c_SEQ_OZseq'( Z, X ) ), ~( 'c_SEQ_OZseq'( Y, X ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.30/1.67 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), 'tc_nat' ),
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ) ), Y ), Z, 'tc_nat', X, X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X ), ~( 'c_SEQ_OLIMSEQ'( Z,
% 1.30/1.67 U, X ) ), ~( 'c_SEQ_OLIMSEQ'( Y, T, X ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_SEQ_OZseq'(
% 1.30/1.67 hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), 'tc_nat' ),
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ) ), Y ), 'tc_nat', X, X ), Z ), X ), ~(
% 1.30/1.67 'c_SEQ_OZseq'( Y, X ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_SEQ_OZseq'(
% 1.30/1.67 hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), 'tc_nat' ),
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ) ), Y ), 'tc_nat', X, X ), Z ), X ), ~(
% 1.30/1.67 'c_SEQ_OZseq'( Y, X ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.30/1.67 hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), 'tc_nat' ),
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ) ), Y ), 'tc_nat', X, X ), Z ), hAPP(
% 1.30/1.67 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ), ~(
% 1.30/1.67 'c_SEQ_OLIMSEQ'( Y, T, X ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_SEQ_OCauchy'(
% 1.30/1.67 hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), 'tc_nat' ),
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ) ), Y ), 'tc_nat', X, X ), Z ), X ), ~(
% 1.30/1.67 'c_SEQ_OCauchy'( Y, X ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 1.30/1.67 'c_Series_Osummable'( hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'(
% 1.30/1.67 X, X ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X ) ), Y ), 'tc_nat', X
% 1.30/1.67 , X ), Z ), X ), ~( 'c_Series_Osummable'( Y, X ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 1.30/1.67 'c_Series_Osummable'( hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'(
% 1.30/1.67 X, X ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X ) ), Y ), 'tc_nat', X
% 1.30/1.67 , X ), Z ), X ), ~( 'c_Series_Osummable'( Y, X ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_Series_Osums'(
% 1.30/1.67 hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), 'tc_nat' ),
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ) ), Y ), 'tc_nat', X, X ), Z ), hAPP(
% 1.30/1.67 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ), ~(
% 1.30/1.67 'c_Series_Osums'( Y, T, X ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_Series_Osums'(
% 1.30/1.67 hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), 'tc_nat' ),
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ) ), Y ), 'tc_nat', X, X ), Z ), hAPP(
% 1.30/1.67 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ), ~(
% 1.30/1.67 'c_Series_Osums'( Y, T, X ) ) ],
% 1.30/1.67 [ =( hAPP( hAPP( 'c_Finite__Set_Osetsum'( 'tc_nat',
% 1.30/1.67 'tc_Complex_Ocomplex' ), hAPP( 'c_Power_Opower__class_Opower'(
% 1.30/1.67 'tc_Complex_Ocomplex' ), hAPP( hAPP( 'c_Power_Opower__class_Opower'(
% 1.30/1.67 'tc_Complex_Ocomplex' ), 'c_FFT__Mirabelle_Oroot'( X ) ), Y ) ) ),
% 1.30/1.67 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.30/1.67 'tc_nat' ), X, 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.30/1.67 'tc_Complex_Ocomplex' ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y,
% 1.30/1.67 'tc_nat' ), X ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), Y ) ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_Series_Osums'(
% 1.30/1.67 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), 'tc_nat' ),
% 1.30/1.67 'c_HOL_Ominus__class_Ominus'( X ) ), Y ), Z, 'tc_nat', X, X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Ominus__class_Ominus'( X ), T ), U ), X ), ~( 'c_Series_Osums'( Z
% 1.30/1.67 , U, X ) ), ~( 'c_Series_Osums'( Y, T, X ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OZseq'(
% 1.30/1.67 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), 'tc_nat' ),
% 1.30/1.67 'c_HOL_Ominus__class_Ominus'( X ) ), Y ), Z, 'tc_nat', X, X ), X ), ~(
% 1.30/1.67 'c_SEQ_OZseq'( Z, X ) ), ~( 'c_SEQ_OZseq'( Y, X ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 1.30/1.67 'c_Series_Osummable'( 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X
% 1.30/1.67 ), 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( X ) ), Y ), Z, 'tc_nat', X
% 1.30/1.67 , X ), X ), ~( 'c_Series_Osummable'( Z, X ) ), ~( 'c_Series_Osummable'( Y
% 1.30/1.67 , X ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.30/1.67 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), 'tc_nat' ),
% 1.30/1.67 'c_HOL_Ominus__class_Ominus'( X ) ), Y ), Z, 'tc_nat', X, X ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Ominus__class_Ominus'( X ), T ), U ), X ), ~( 'c_SEQ_OLIMSEQ'( Z,
% 1.30/1.67 U, X ) ), ~( 'c_SEQ_OLIMSEQ'( Y, T, X ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.30/1.67 hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), 'tc_nat' ),
% 1.30/1.67 'c_HOL_Ominus__class_Ominus'( X ) ), Y ), 'tc_nat', X, X ), Z ), hAPP(
% 1.30/1.67 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), T ), Z ), X ), ~(
% 1.30/1.67 'c_SEQ_OLIMSEQ'( Y, T, X ) ) ],
% 1.30/1.67 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 1.30/1.67 'c_Complete__Lattice_OSup__class_OSup'( 'c_Set_Oinsert'( Y,
% 1.30/1.67 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.30/1.67 'tc_bool' ) ), X ), X ), X ),
% 1.30/1.67 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 1.30/1.67 [ =( 'c_Set_Ovimage'( X, 'c_Set_Oinsert'( Y, Z, T ), U, T ),
% 1.30/1.67 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Ovimage'( X,
% 1.30/1.67 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 1.30/1.67 'tc_bool' ) ), T ), U, T ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U,
% 1.30/1.67 'tc_bool' ) ) ) ],
% 1.30/1.67 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 'c_Finite__Set_Osetsum'(
% 1.30/1.67 'tc_nat', X ), Y ), 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T,
% 1.30/1.67 'tc_nat' ) ) ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ),
% 1.30/1.67 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, U, 'tc_nat' ) ) ), hAPP(
% 1.30/1.67 hAPP( 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ),
% 1.30/1.67 'c_SetInterval_Oord__class_OatLeastLessThan'( U, T, 'tc_nat' ) ) ), ~(
% 1.30/1.67 hBOOL( hAPP( 'c_lessequals'( U, 'tc_nat' ), T ) ) ), ~( hBOOL( hAPP(
% 1.30/1.67 'c_lessequals'( Z, 'tc_nat' ), U ) ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 1.30/1.67 'class_RealVector_Oreal__normed__algebra'( Y ) ), ~( 'class_Power_Opower'(
% 1.30/1.67 Y ) ), 'c_Lim_OisCont'( hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( Y,
% 1.30/1.67 'tc_fun'( 'tc_nat', Y ), X ), 'c_Power_Opower__class_Opower'( Y ) ), Z )
% 1.30/1.67 , X, 'tc_nat', Y ), T ), U, X, Y ), ~( 'c_Lim_OisCont'( Z, U, X, Y ) ) ]
% 1.30/1.67 ,
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 1.30/1.67 'class_Power_Opower'( X ) ), ~( 'class_RealVector_Ometric__space'( Y ) )
% 1.30/1.67 , 'c_Lim_OLIM'( hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'(
% 1.30/1.67 'tc_nat', X ), Y ), 'c_Power_Opower__class_Opower'( X ) ), Z ), Y,
% 1.30/1.67 'tc_nat', X ), T ), U, hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), W
% 1.30/1.67 ), T ), Y, X ), ~( 'c_Lim_OLIM'( Z, U, W, Y, X ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ),
% 1.30/1.67 'c_Deriv_Odifferentiable'( hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( X,
% 1.30/1.67 'tc_fun'( 'tc_nat', X ), X ), 'c_Power_Opower__class_Opower'( X ) ), Y )
% 1.30/1.67 , X, 'tc_nat', X ), Z ), T, X ), ~( 'c_Deriv_Odifferentiable'( Y, T, X )
% 1.30/1.67 ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_Series_Osums'(
% 1.30/1.67 hAPP( hAPP( 'c_COMBB'( 'tc_nat', X, 'tc_nat' ), Y ), hAPP( 'c_COMBC'(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'tc_nat', 'tc_nat', 'tc_nat' ), Z
% 1.30/1.67 ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), T ), hAPP( hAPP(
% 1.30/1.67 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ),
% 1.30/1.67 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.30/1.67 'tc_nat' ), Z, 'tc_nat' ) ) ), X ), ~( 'c_Series_Osums'( Y, T, X ) ) ]
% 1.30/1.67 ,
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 1.30/1.67 'class_Power_Opower'( X ) ), 'c_SEQ_OLIMSEQ'( hAPP( 'c_COMBC'( hAPP( hAPP(
% 1.30/1.67 'c_COMBB'( X, 'tc_fun'( 'tc_nat', X ), 'tc_nat' ),
% 1.30/1.67 'c_Power_Opower__class_Opower'( X ) ), Y ), 'tc_nat', 'tc_nat', X ), Z )
% 1.30/1.67 , hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), T ), Z ), X ), ~(
% 1.30/1.67 'c_SEQ_OLIMSEQ'( Y, T, X ) ) ],
% 1.30/1.67 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.30/1.67 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ),
% 1.30/1.67 'c_SetInterval_Oord__class_OatLeastLessThan'( hAPP( 'c_Suc', Z ), hAPP(
% 1.30/1.67 'c_Suc', T ), 'tc_nat' ) ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( 'tc_nat'
% 1.30/1.67 , X ), hAPP( hAPP( 'c_COMBB'( 'tc_nat', X, 'tc_nat' ), Y ), 'c_Suc' ) ),
% 1.30/1.67 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, 'tc_nat' ) ) ) ],
% 1.30/1.67 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 1.30/1.67 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.30/1.67 'c_SetInterval_Oord__class_OgreaterThanLessThan'( Y, Z, X ),
% 1.30/1.67 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, X ), 'tc_fun'( X,
% 1.30/1.67 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 1.30/1.67 ) ],
% 1.30/1.67 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), 'v_i' ), 'tc_nat' ), 'v_n'
% 1.30/1.67 ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), 'v_n' ) )
% 1.30/1.67 ) ],
% 1.30/1.67 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), 'v_i' ), X ), 'tc_nat' ), 'v_n'
% 1.30/1.67 ) ) ],
% 1.30/1.67 [ =( 'c_SetInterval_Oord__class_OatMost'( 'c_HOL_Ozero__class_Ozero'(
% 1.30/1.67 'tc_nat' ), 'tc_nat' ), 'c_Set_Oinsert'( 'c_HOL_Ozero__class_Ozero'(
% 1.30/1.67 'tc_nat' ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_nat', 'tc_bool'
% 1.30/1.67 ) ), 'tc_nat' ) ) ],
% 1.30/1.67 [ =( 'c_SetInterval_Oord__class_OatLeastLessThan'( X, hAPP( 'c_Suc', X )
% 1.30/1.67 , 'tc_nat' ), 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 1.30/1.67 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_nat' ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 1.30/1.67 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( hAPP( 'c_COMBC'(
% 1.30/1.67 hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y ),
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ) ), Z ), Y, X, X ), T ), U,
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_Lim_OLIM'( Z, U,
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 1.30/1.67 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( hAPP( 'c_COMBC'(
% 1.30/1.67 hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y ),
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ) ), Z ), Y, X, X ), T ), U,
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_Lim_OLIM'( Z, U,
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.30/1.67 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( Z, T, U, Y, X ),
% 1.30/1.67 ~( 'c_Lim_OLIM'( hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X,
% 1.30/1.67 X ), Y ), 'c_HOL_Ominus__class_Ominus'( X ) ), Z ), Y, X, X ), U ), T,
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.30/1.67 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( hAPP( 'c_COMBC'(
% 1.30/1.67 hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y ),
% 1.30/1.67 'c_HOL_Ominus__class_Ominus'( X ) ), Z ), Y, X, X ), T ), U,
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_Lim_OLIM'( Z, U, T, Y, X )
% 1.30/1.67 ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 1.30/1.67 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBS'( hAPP(
% 1.30/1.67 hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y ), 'c_HOL_Otimes__class_Otimes'(
% 1.30/1.67 X ) ), Z ), T, Y, X, X ), U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.30/1.67 'c_Lim_OLIM'( T, U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.30/1.67 'c_Lim_OLIM'( Z, U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.30/1.67 [ =( 'c_FFT__Mirabelle_OIDFT'( X, Y, 'v_i' ), hAPP( hAPP(
% 1.30/1.67 'c_Finite__Set_Osetsum'( 'tc_nat', 'tc_Complex_Ocomplex' ), 'c_COMBS'(
% 1.30/1.67 hAPP( hAPP( 'c_COMBB'( 'tc_Complex_Ocomplex', 'tc_fun'(
% 1.30/1.67 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ), 'tc_nat' ),
% 1.30/1.67 'c_HOL_Oinverse__class_Odivide'( 'tc_Complex_Ocomplex' ) ), Y ), hAPP(
% 1.30/1.67 hAPP( 'c_COMBB'( 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat' ), hAPP(
% 1.30/1.67 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ),
% 1.30/1.67 'c_FFT__Mirabelle_Oroot'( X ) ) ), hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.30/1.67 'tc_nat' ), 'v_i' ) ), 'tc_nat', 'tc_Complex_Ocomplex',
% 1.30/1.67 'tc_Complex_Ocomplex' ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'( Y
% 1.30/1.67 , Z, X ), ~( 'c_SEQ_OLIMSEQ'( 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( X,
% 1.30/1.67 'tc_fun'( X, X ), 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( X ) ), Y ), T
% 1.30/1.67 , 'tc_nat', X, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.30/1.67 'c_SEQ_OLIMSEQ'( T, Z, X ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'( Y
% 1.30/1.67 , Z, X ), ~( 'c_SEQ_OLIMSEQ'( 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( X,
% 1.30/1.67 'tc_fun'( X, X ), 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( X ) ), T ), Y
% 1.30/1.67 , 'tc_nat', X, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.30/1.67 'c_SEQ_OLIMSEQ'( T, Z, X ) ) ],
% 1.30/1.67 [ =( hAPP( hAPP( 'c_Finite__Set_Osetsum'( 'tc_nat',
% 1.30/1.67 'tc_Complex_Ocomplex' ), 'c_COMBS'( hAPP( hAPP( 'c_COMBB'(
% 1.30/1.67 'tc_Complex_Ocomplex', 'tc_fun'( 'tc_Complex_Ocomplex',
% 1.30/1.67 'tc_Complex_Ocomplex' ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'(
% 1.30/1.67 'tc_Complex_Ocomplex' ) ), hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'(
% 1.30/1.67 'tc_fun'( 'tc_nat', 'tc_Complex_Ocomplex' ), 'tc_fun'( 'tc_fun'( 'tc_nat'
% 1.30/1.67 , 'tc_bool' ), 'tc_Complex_Ocomplex' ), 'tc_nat' ),
% 1.30/1.67 'c_Finite__Set_Osetsum'( 'tc_nat', 'tc_Complex_Ocomplex' ) ), hAPP( hAPP(
% 1.30/1.67 'c_COMBB'( 'tc_Complex_Ocomplex', 'tc_fun'( 'tc_nat',
% 1.30/1.67 'tc_Complex_Ocomplex' ), 'tc_nat' ), 'c_Power_Opower__class_Opower'(
% 1.30/1.67 'tc_Complex_Ocomplex' ) ), 'c_COMBS'( 'c_COMBS'( hAPP( hAPP( 'c_COMBB'(
% 1.30/1.67 'tc_bool', 'tc_fun'( 'tc_Complex_Ocomplex', 'tc_fun'(
% 1.30/1.67 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ) ), 'tc_nat' ), 'c_HOL_OIf'(
% 1.30/1.67 'tc_Complex_Ocomplex' ) ), 'c_lessequals'( 'v_i', 'tc_nat' ) ), hAPP(
% 1.30/1.67 hAPP( 'c_COMBB'( 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat' ), hAPP(
% 1.30/1.67 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ),
% 1.30/1.67 'c_FFT__Mirabelle_Oroot'( 'v_n' ) ) ), hAPP( 'c_COMBC'(
% 1.30/1.67 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), 'tc_nat', 'tc_nat', 'tc_nat' )
% 1.30/1.67 , 'v_i' ) ), 'tc_nat', 'tc_Complex_Ocomplex', 'tc_fun'(
% 1.30/1.67 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.30/1.67 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat' ), hAPP(
% 1.30/1.67 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oinverse__class_Odivide'( 'tc_Complex_Ocomplex' ),
% 1.30/1.67 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ) ),
% 1.30/1.67 'c_FFT__Mirabelle_Oroot'( 'v_n' ) ) ) ), hAPP(
% 1.30/1.67 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), 'v_i' ) ), 'tc_nat',
% 1.30/1.67 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ) ) ), 'tc_nat', 'tc_fun'(
% 1.30/1.67 'tc_nat', 'tc_bool' ), 'tc_Complex_Ocomplex' ),
% 1.30/1.67 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.30/1.67 'tc_nat' ), 'v_n', 'tc_nat' ) ) ), 'v_a', 'tc_nat', 'tc_Complex_Ocomplex'
% 1.30/1.67 , 'tc_Complex_Ocomplex' ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'v_n', 'tc_nat' ) ), hAPP( hAPP(
% 1.30/1.67 'c_Finite__Set_Osetsum'( 'tc_nat', 'tc_Complex_Ocomplex' ), 'c_COMBS'(
% 1.30/1.67 hAPP( hAPP( 'c_COMBB'( 'tc_Complex_Ocomplex', 'tc_fun'(
% 1.30/1.67 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ), 'tc_nat' ),
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( 'tc_Complex_Ocomplex' ) ), hAPP( 'c_COMBC'(
% 1.30/1.67 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_nat', 'tc_Complex_Ocomplex' ),
% 1.30/1.67 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_Complex_Ocomplex' ),
% 1.30/1.67 'tc_nat' ), 'c_Finite__Set_Osetsum'( 'tc_nat', 'tc_Complex_Ocomplex' ) )
% 1.30/1.67 , hAPP( hAPP( 'c_COMBB'( 'tc_Complex_Ocomplex', 'tc_fun'( 'tc_nat',
% 1.30/1.67 'tc_Complex_Ocomplex' ), 'tc_nat' ), 'c_Power_Opower__class_Opower'(
% 1.30/1.67 'tc_Complex_Ocomplex' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_nat',
% 1.30/1.67 'tc_Complex_Ocomplex', 'tc_nat' ), hAPP( 'c_Power_Opower__class_Opower'(
% 1.30/1.67 'tc_Complex_Ocomplex' ), 'c_FFT__Mirabelle_Oroot'( 'v_n' ) ) ), hAPP(
% 1.30/1.67 'c_COMBC'( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), 'tc_nat', 'tc_nat',
% 1.30/1.67 'tc_nat' ), 'v_i' ) ) ) ), 'tc_nat', 'tc_fun'( 'tc_nat', 'tc_bool' ),
% 1.30/1.67 'tc_Complex_Ocomplex' ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'v_n', 'tc_nat' ) ) ), 'v_a',
% 1.30/1.67 'tc_nat', 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ) ),
% 1.30/1.67 'c_SetInterval_Oord__class_OatLeastLessThan'( 'v_i', 'v_n', 'tc_nat' ) )
% 1.30/1.67 ) ],
% 1.30/1.67 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), ~( =( hAPP( Y,
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.30/1.67 ) ), =( hAPP( hAPP( 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ),
% 1.30/1.67 'c_SetInterval_Oord__class_OatLeastLessThan'( hAPP( 'c_Suc',
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z, 'tc_nat' ) ), hAPP( hAPP(
% 1.30/1.67 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ),
% 1.30/1.67 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.30/1.67 'tc_nat' ), Z, 'tc_nat' ) ) ) ],
% 1.30/1.67 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.30/1.67 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ),
% 1.30/1.67 'c_SetInterval_Oord__class_OatLeastLessThan'( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), U ), T ), 'tc_nat' ) ), hAPP(
% 1.30/1.67 hAPP( 'c_Finite__Set_Osetsum'( 'tc_nat', X ), hAPP( hAPP( 'c_COMBB'(
% 1.30/1.67 'tc_nat', X, 'tc_nat' ), Y ), hAPP( 'c_COMBC'( 'c_HOL_Oplus__class_Oplus'(
% 1.30/1.67 'tc_nat' ), 'tc_nat', 'tc_nat', 'tc_nat' ), T ) ) ),
% 1.30/1.67 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, U, 'tc_nat' ) ) ) ],
% 1.30/1.67 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.30/1.67 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( Y,
% 1.30/1.67 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ),
% 1.30/1.67 'c_SetInterval_Oord__class_OgreaterThanLessThan'( Y, Z, X ), 'tc_fun'( X
% 1.30/1.67 , 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X )
% 1.30/1.67 ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ) ],
% 1.30/1.67 [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), =(
% 1.30/1.67 'c_Series_Osuminf'( 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X )
% 1.30/1.67 , 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X ) ), Y ), hAPP(
% 1.30/1.67 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.30/1.67 'tc_nat', X, X ), X ), hAPP( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 1.30/1.67 ) ],
% 1.30/1.67 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.30/1.67 'c_Finite__Set_Osetsum'( 'tc_nat', X ), hAPP( hAPP( 'c_COMBB'( 'tc_nat',
% 1.30/1.67 X, 'tc_nat' ), Y ), hAPP( 'c_COMBC'( 'c_HOL_Oplus__class_Oplus'( 'tc_nat'
% 1.30/1.67 ), 'tc_nat', 'tc_nat', 'tc_nat' ), Z ) ) ),
% 1.30/1.67 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.30/1.67 'tc_nat' ), T, 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X
% 1.30/1.67 ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ),
% 1.30/1.67 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.30/1.67 'tc_nat' ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), T ), Z )
% 1.30/1.67 , 'tc_nat' ) ) ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y )
% 1.30/1.67 , 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ) ) ) ) ],
% 1.30/1.67 [ =( 'c_FFT__Mirabelle_ODFT'( X, Y, 'v_i' ), hAPP( hAPP(
% 1.30/1.67 'c_Finite__Set_Osetsum'( 'tc_nat', 'tc_Complex_Ocomplex' ), 'c_COMBS'(
% 1.30/1.67 hAPP( hAPP( 'c_COMBB'( 'tc_Complex_Ocomplex', 'tc_fun'(
% 1.30/1.67 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ), 'tc_nat' ),
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( 'tc_Complex_Ocomplex' ) ), hAPP( hAPP(
% 1.30/1.67 'c_COMBB'( 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat' ), hAPP(
% 1.30/1.67 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ),
% 1.30/1.67 'c_FFT__Mirabelle_Oroot'( X ) ) ), hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.30/1.67 'tc_nat' ), 'v_i' ) ) ), Y, 'tc_nat', 'tc_Complex_Ocomplex',
% 1.30/1.67 'tc_Complex_Ocomplex' ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ) ) ],
% 1.30/1.67 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), =( hAPP( hAPP(
% 1.30/1.67 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 'c_Finite__Set_Osetsum'(
% 1.30/1.67 'tc_nat', X ), Y ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.30/1.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ) ) ), hAPP( hAPP(
% 1.30/1.67 'c_HOL_Otimes__class_Otimes'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'(
% 1.30/1.67 Z, X ) ), T ) ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( 'tc_nat', X ), hAPP(
% 1.30/1.67 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), 'tc_nat' ),
% 1.30/1.67 'c_HOL_Ominus__class_Ominus'( X ) ), Y ), 'tc_nat', X, X ), T ) ),
% 1.30/1.67 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.30/1.68 'tc_nat' ), Z, 'tc_nat' ) ) ) ],
% 1.30/1.68 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), ~(
% 1.30/1.68 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.30/1.68 'c_Finite__Set_Osetsum'( 'tc_nat', X ), 'c_COMBS'( hAPP( hAPP( 'c_COMBB'(
% 1.30/1.68 X, 'tc_fun'( X, X ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X ) ),
% 1.30/1.68 hAPP( 'c_Power_Opower__class_Opower'( X ), Y ) ), hAPP( hAPP( 'c_COMBB'(
% 1.30/1.68 'tc_nat', X, 'tc_nat' ), hAPP( 'c_Power_Opower__class_Opower'( X ), Z ) )
% 1.30/1.68 , hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( 'c_Suc', T ) ) )
% 1.30/1.68 , 'tc_nat', X, X ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.30/1.68 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( 'c_Suc', T ), 'tc_nat' ) )
% 1.30/1.68 , hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), hAPP( hAPP(
% 1.30/1.68 'c_Finite__Set_Osetsum'( 'tc_nat', X ), 'c_COMBS'( hAPP( hAPP( 'c_COMBB'(
% 1.30/1.68 X, 'tc_fun'( X, X ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X ) ),
% 1.30/1.68 hAPP( 'c_Power_Opower__class_Opower'( X ), Y ) ), hAPP( hAPP( 'c_COMBB'(
% 1.30/1.68 'tc_nat', X, 'tc_nat' ), hAPP( 'c_Power_Opower__class_Opower'( X ), Z ) )
% 1.30/1.68 , hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ) ), 'tc_nat', X, X )
% 1.30/1.68 ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.30/1.68 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( 'c_Suc', T ), 'tc_nat' ) )
% 1.30/1.68 ) ) ],
% 1.30/1.68 [ ~( 'class_Power_Opower'( X ) ), ~(
% 1.30/1.68 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.30/1.68 'c_Finite__Set_Osetsum'( 'tc_nat', X ), 'c_COMBS'( hAPP( hAPP( 'c_COMBB'(
% 1.30/1.68 X, 'tc_fun'( X, X ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X ) ),
% 1.30/1.68 hAPP( 'c_Power_Opower__class_Opower'( X ), Y ) ), hAPP( hAPP( 'c_COMBB'(
% 1.30/1.68 'tc_nat', X, 'tc_nat' ), hAPP( 'c_Power_Opower__class_Opower'( X ), Z ) )
% 1.30/1.68 , hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ) ), 'tc_nat', X, X )
% 1.30/1.68 ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.30/1.68 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( 'c_Suc', T ), 'tc_nat' ) )
% 1.30/1.68 , hAPP( hAPP( 'c_Finite__Set_Osetsum'( 'tc_nat', X ), 'c_COMBS'( hAPP(
% 1.30/1.68 hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), 'tc_nat' ),
% 1.30/1.68 'c_HOL_Otimes__class_Otimes'( X ) ), hAPP( hAPP( 'c_COMBB'( 'tc_nat', X,
% 1.30/1.68 'tc_nat' ), hAPP( 'c_Power_Opower__class_Opower'( X ), Y ) ), hAPP(
% 1.30/1.68 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ) ) ), hAPP(
% 1.30/1.68 'c_Power_Opower__class_Opower'( X ), Z ), 'tc_nat', X, X ) ),
% 1.30/1.68 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.30/1.68 'tc_nat' ), hAPP( 'c_Suc', T ), 'tc_nat' ) ) ) ],
% 1.30/1.68 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), ~(
% 1.30/1.68 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.30/1.68 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.30/1.68 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ) ), hAPP(
% 1.30/1.68 hAPP( 'c_Power_Opower__class_Opower'( X ), T ), hAPP( 'c_Suc', Z ) ) ),
% 1.30/1.68 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.30/1.68 'c_HOL_Ominus__class_Ominus'( X ), Y ), T ) ), hAPP( hAPP(
% 1.30/1.68 'c_Finite__Set_Osetsum'( 'tc_nat', X ), 'c_COMBS'( hAPP( hAPP( 'c_COMBB'(
% 1.30/1.68 X, 'tc_fun'( X, X ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X ) ),
% 1.30/1.68 hAPP( 'c_Power_Opower__class_Opower'( X ), Y ) ), hAPP( hAPP( 'c_COMBB'(
% 1.30/1.68 'tc_nat', X, 'tc_nat' ), hAPP( 'c_Power_Opower__class_Opower'( X ), T ) )
% 1.30/1.68 , hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ) ), 'tc_nat', X, X )
% 1.30/1.68 ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.30/1.68 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( 'c_Suc', Z ), 'tc_nat' ) )
% 1.30/1.68 ) ) ],
% 1.30/1.68 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), ~(
% 1.30/1.68 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.30/1.68 'c_Finite__Set_Osetsum'( 'tc_nat', X ), hAPP( 'c_COMBC'( hAPP( hAPP(
% 1.30/1.68 'c_COMBB'( X, 'tc_fun'( X, X ), 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'(
% 1.30/1.68 X ) ), 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), 'tc_nat' )
% 1.30/1.68 , 'c_HOL_Otimes__class_Otimes'( X ) ), hAPP( hAPP( 'c_COMBB'( 'tc_nat', X
% 1.30/1.68 , 'tc_nat' ), hAPP( 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.30/1.68 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) ), hAPP(
% 1.30/1.68 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ) ) ), hAPP(
% 1.30/1.68 'c_Power_Opower__class_Opower'( X ), Y ), 'tc_nat', X, X ) ), 'tc_nat', X
% 1.30/1.68 , X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), T ) ) ),
% 1.30/1.68 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.30/1.68 'tc_nat' ), T, 'tc_nat' ) ), hAPP( hAPP( 'c_Finite__Set_Osetsum'(
% 1.30/1.68 'tc_nat', X ), 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ),
% 1.30/1.68 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X ) ), hAPP(
% 1.30/1.68 'c_Power_Opower__class_Opower'( X ), Y ) ), 'c_COMBS'( hAPP( hAPP(
% 1.30/1.68 'c_COMBB'( X, 'tc_fun'( X, X ), 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'(
% 1.30/1.68 X ) ), hAPP( hAPP( 'c_COMBB'( 'tc_nat', X, 'tc_nat' ), hAPP(
% 1.30/1.68 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.30/1.68 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) ), hAPP(
% 1.30/1.68 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ) ) ), hAPP( hAPP( 'c_COMBB'(
% 1.30/1.68 'tc_nat', X, 'tc_nat' ), hAPP( 'c_Power_Opower__class_Opower'( X ), Y ) )
% 1.30/1.68 , hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ) ), 'tc_nat', X, X )
% 1.30/1.68 , 'tc_nat', X, X ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.30/1.68 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), T, 'tc_nat' ) ) ) ],
% 1.30/1.68 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =( hAPP( hAPP(
% 1.30/1.68 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.30/1.68 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.30/1.68 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =( hAPP( hAPP(
% 1.30/1.68 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.30/1.68 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.30/1.68 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =( hAPP(
% 1.30/1.68 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.30/1.68 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.30/1.68 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =( hAPP(
% 1.30/1.68 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.30/1.68 X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.30/1.68 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.30/1.68 'c_Set_Oinsert'( Y, Z, X ) ) ) ],
% 1.30/1.68 [ =( 'c_SetInterval_Oord__class_OatLeastLessThan'( X,
% 1.30/1.68 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ),
% 1.30/1.68 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ) ]
% 1.30/1.68 ,
% 1.30/1.68 [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), X ) ) ],
% 1.30/1.68 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.30/1.68 'c_Finite__Set_Osetsum'( Y, X ), hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'(
% 1.30/1.68 'tc_fun'( Z, X ), 'tc_fun'( 'tc_fun'( Z, 'tc_bool' ), X ), Y ),
% 1.30/1.68 'c_Finite__Set_Osetsum'( Z, X ) ), T ), Y, 'tc_fun'( Z, 'tc_bool' ), X )
% 1.30/1.68 , U ) ), W ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Z, X ), hAPP(
% 1.30/1.68 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y, X ), 'tc_fun'( 'tc_fun'( Y
% 1.30/1.68 , 'tc_bool' ), X ), Z ), 'c_Finite__Set_Osetsum'( Y, X ) ), 'c_COMBC'( T
% 1.30/1.68 , Y, Z, X ) ), Z, 'tc_fun'( Y, 'tc_bool' ), X ), W ) ), U ) ) ],
% 1.30/1.68 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.30/1.68 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.30/1.68 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.30/1.68 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.30/1.68 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.30/1.68 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.30/1.68 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.30/1.68 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.30/1.68 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.30/1.68 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.30/1.68 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.30/1.68 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.30/1.68 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.30/1.68 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.30/1.68 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.30/1.68 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.30/1.68 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.30/1.68 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.30/1.68 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.30/1.68 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.30/1.68 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.30/1.68 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.30/1.68 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.30/1.68 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), Y ), hAPP( hAPP(
% 1.30/1.68 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.30/1.68 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 1.30/1.68 [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP( 'c_Set_Oinsert'( Z,
% 1.30/1.68 X, T ), Y ) ) ) ],
% 1.30/1.68 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ),
% 1.30/1.68 'c_Set_Oinsert'( X, Y, Z ) ) ],
% 1.30/1.68 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X, Y
% 1.30/1.68 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 1.30/1.68 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 1.30/1.68 'tc_bool' ) ), Z ) ) ],
% 1.30/1.68 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Set_Oinsert'( Y
% 1.30/1.68 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'( Y,
% 1.30/1.68 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T,
% 1.30/1.68 'tc_bool' ) ), T ) ) ],
% 1.30/1.68 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.30/1.68 'c_Finite__Set_Osetsum'( Y, X ), 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( X,
% 1.30/1.68 'tc_fun'( X, X ), Y ), 'c_HOL_Ominus__class_Ominus'( X ) ), Z ), T, Y, X
% 1.30/1.68 , X ) ), U ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.30/1.68 'c_Finite__Set_Osetsum'( Y, X ), Z ), U ) ), hAPP( hAPP(
% 1.30/1.68 'c_Finite__Set_Osetsum'( Y, X ), T ), U ) ) ) ],
% 1.30/1.68 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 1.30/1.68 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 1.30/1.68 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 1.30/1.68 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ],
% 1.30/1.68 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), =( hAPP( hAPP(
% 1.30/1.68 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.30/1.68 'c_Finite__Set_Osetsum'( Z, X ), T ), U ) ), hAPP( hAPP(
% 1.30/1.68 'c_Finite__Set_Osetsum'( Z, X ), hAPP( hAPP( 'c_COMBB'( X, X, Z ), hAPP(
% 1.30/1.68 'c_HOL_Otimes__class_Otimes'( X ), Y ) ), T ) ), U ) ) ],
% 1.30/1.68 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.30/1.68 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.30/1.68 'c_Finite__Set_Osetsum'( Z, X ), T ), U ) ), hAPP( hAPP(
% 1.30/1.68 'c_Finite__Set_Osetsum'( Z, X ), hAPP( hAPP( 'c_COMBB'( X, X, Z ), hAPP(
% 1.30/1.68 'c_HOL_Otimes__class_Otimes'( X ), Y ) ), T ) ), U ) ) ],
% 1.30/1.68 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.30/1.68 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.30/1.68 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 1.30/1.68 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.30/1.68 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ) ) ],
% 1.30/1.68 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.30/1.68 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.30/1.68 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 1.30/1.68 'c_HOL_Otimes__class_Otimes'( X ), Z ), hAPP( hAPP(
% 1.30/1.68 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ],
% 1.30/1.68 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.30/1.68 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.30/1.68 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 1.30/1.68 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.30/1.68 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ) ) ],
% 1.30/1.68 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.30/1.68 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.30/1.68 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.30/1.68 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.30/1.68 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.30/1.68 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.30/1.68 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.30/1.68 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.30/1.68 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.30/1.68 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), Z ) ) ],
% 1.30/1.68 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =( hAPP( hAPP(
% 1.30/1.68 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.30/1.68 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.30/1.68 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.30/1.68 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.30/1.68 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.30/1.68 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.30/1.68 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X,
% 1.30/1.68 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 1.30/1.68 ) ],
% 1.30/1.68 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =( hAPP( hAPP(
% 1.30/1.68 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.30/1.68 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.30/1.68 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.30/1.68 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 1.30/1.68 'c_Power_Opower__class_Opower'( X ), Z ), T ) ) ) ],
% 1.30/1.68 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.30/1.68 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.30/1.68 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.30/1.68 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.30/1.68 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 1.30/1.68 'c_Power_Opower__class_Opower'( X ), Z ), T ) ) ) ],
% 1.30/1.68 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), =( hAPP( hAPP(
% 1.30/1.68 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y
% 1.30/1.68 , X ), Z ), T ) ), U ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y, X ), hAPP(
% 1.30/1.68 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y ),
% 1.30/1.68 'c_HOL_Otimes__class_Otimes'( X ) ), Z ), Y, X, X ), U ) ), T ) ) ],
% 1.30/1.68 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.30/1.68 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y
% 1.30/1.68 , X ), Z ), T ) ), U ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y, X ), hAPP(
% 1.30/1.68 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y ),
% 1.30/1.68 'c_HOL_Otimes__class_Otimes'( X ) ), Z ), Y, X, X ), U ) ), T ) ) ],
% 1.30/1.68 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( hAPP(
% 1.30/1.68 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ), Y ) ],
% 1.30/1.68 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.30/1.68 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 1.30/1.68 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y
% 1.30/1.68 ), 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.30/1.68 'tc_nat' ) ) ],
% 1.30/1.68 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.30/1.68 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.30/1.68 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.30/1.68 ), =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ),
% 1.30/1.68 'c_HOL_Ozero__class_Ozero'( X ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.30/1.68 , =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.30/1.68 [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~(
% 1.30/1.68 =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ),
% 1.30/1.68 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.30/1.68 ) ) ],
% 1.30/1.68 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.30/1.68 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.30/1.68 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.30/1.68 ), ~( =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ),
% 1.30/1.68 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.30/1.68 ) ) ],
% 1.30/1.68 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( hAPP(
% 1.30/1.68 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.30/1.68 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.30/1.68 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ],
% 1.30/1.68 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 1.30/1.68 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 1.30/1.68 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 1.30/1.68 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( X, T ) ],
% 1.30/1.68 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 1.30/1.68 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 1.30/1.68 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 1.30/1.68 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( X, T ) ],
% 1.30/1.68 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 1.30/1.68 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 1.30/1.68 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 1.30/1.68 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( Y, U ) ],
% 1.30/1.68 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 1.30/1.68 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 1.30/1.68 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 1.30/1.68 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( Y, U ) ],
% 1.30/1.68 [ ~( =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ),
% 1.30/1.68 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( =( hAPP( hAPP(
% 1.30/1.68 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), X ),
% 1.30/1.68 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y, X ) ],
% 1.30/1.68 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.30/1.68 'c_Finite__Set_Osetsum'( Y, X ), Z ), 'c_Orderings_Obot__class_Obot'(
% 1.30/1.68 'tc_fun'( Y, 'tc_bool' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.30/1.68 [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 1.30/1.68 ) ), Y ) ) ) ],
% 1.30/1.68 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.30/1.68 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.30/1.68 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.30/1.68 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.30/1.68 'c_HOL_Otimes__class_Otimes'( X ), T ), hAPP( hAPP(
% 1.30/1.68 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.30/1.68 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), U ) ) ) ],
% 1.30/1.68 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.30/1.68 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.30/1.68 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.30/1.68 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.30/1.68 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.30/1.68 'c_HOL_Otimes__class_Otimes'( X ), Z ), hAPP( hAPP(
% 1.30/1.68 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ) ) ) ],
% 1.30/1.68 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.30/1.68 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.30/1.68 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.30/1.68 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.30/1.68 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.30/1.68 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.30/1.68 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ) ],
% 1.30/1.68 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 1.30/1.68 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.30/1.68 'c_Orderings_Obot__class_Obot'( X ), X ), Y ) ],
% 1.30/1.68 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 1.30/1.68 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.30/1.68 'c_Orderings_Obot__class_Obot'( X ), Y, X ), Y ) ],
% 1.30/1.68 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.30/1.68 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 1.30/1.68 X, 'tc_bool' ) ), Y ) ],
% 1.30/1.68 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 1.30/1.68 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 1.30/1.68 'tc_bool' ) ), X ) ],
% 1.30/1.68 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( Z, Y ) ), ~( hBOOL( hAPP(
% 1.30/1.68 'c_Lattices_Oupper__semilattice__class_Osup'( Z, X, 'tc_fun'( T,
% 1.30/1.68 'tc_bool' ) ), Y ) ) ) ],
% 1.30/1.68 [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 1.30/1.68 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ) ],
% 1.30/1.68 [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 1.30/1.68 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( X, T ) ) ) ],
% 1.30/1.68 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 1.30/1.68 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.30/1.68 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 1.30/1.68 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.30/1.68 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =( hAPP(
% 1.30/1.68 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.30/1.68 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 1.30/1.68 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.30/1.68 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =( hAPP(
% 1.30/1.68 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.30/1.68 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.30/1.68 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.30/1.68 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.30/1.68 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.30/1.68 X ) ) ],
% 1.30/1.68 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.30/1.68 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.30/1.68 X ) ) ],
% 1.30/1.68 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.30/1.68 'c_HOL_Ominus__class_Ominus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.30/1.68 , Y ) ],
% 1.30/1.68 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.30/1.68 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.30/1.68 X ) ) ],
% 1.30/1.68 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.30/1.68 X ) ), =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ),
% 1.30/1.68 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.30/1.68 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), X ),
% 1.30/1.68 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.30/1.68 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ),
% 1.30/1.68 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ) ],
% 1.30/1.68 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 1.30/1.68 'tc_fun'( Z, 'tc_bool' ) ) ) ) ],
% 1.30/1.68 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.30/1.68 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.30/1.68 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ) ],
% 1.30/1.68 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.30/1.68 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.30/1.68 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ) ],
% 1.30/1.68 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.30/1.68 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Y, X ), Y ) ],
% 1.30/1.68 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, X, 'tc_fun'( Y,
% 1.30/1.68 'tc_bool' ) ), X ) ],
% 1.30/1.68 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.30/1.68 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.30/1.68 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.30/1.68 ), ~( =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.30/1.68 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.30/1.68 ) ) ],
% 1.30/1.68 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, Z, T ), T ),
% 1.30/1.68 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, Z, T ), T ) ) ],
% 1.30/1.68 [ =( hAPP( hAPP( hAPP( 'c_COMBB'( X, Y, Z ), T ), U ), W ), hAPP( T,
% 1.30/1.68 hAPP( U, W ) ) ) ],
% 1.30/1.68 [ =( hAPP( hAPP( 'c_COMBC'( X, Y, Z, T ), U ), W ), hAPP( hAPP( X, W ),
% 1.30/1.68 U ) ) ],
% 1.30/1.68 [ =( hAPP( 'c_COMBS'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), hAPP( Y
% 1.30/1.68 , W ) ) ) ],
% 1.30/1.68 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.30/1.68 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), hAPP( hAPP(
% 1.30/1.68 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ) ), =( Z, T ) ],
% 1.30/1.68 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.30/1.68 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.30/1.68 'c_HOL_Ominus__class_Ominus'( X ), T ), T ) ) ), =( Y, Z ) ],
% 1.30/1.68 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ),
% 1.30/1.68 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.30/1.68 'tc_nat' ) ) ],
% 1.30/1.68 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.30/1.68 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.30/1.68 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 1.30/1.68 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 1.30/1.68 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 1.30/1.68 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.30/1.68 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.30/1.68 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 1.30/1.68 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.30/1.68 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 1.30/1.68 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.30/1.68 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 1.30/1.68 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 1.30/1.68 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 1.30/1.68 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 1.30/1.68 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.30/1.68 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 1.30/1.68 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 1.30/1.68 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 1.30/1.68 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.30/1.68 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T,
% 1.30/1.68 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.30/1.68 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.30/1.68 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.30/1.68 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 1.30/1.68 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 1.30/1.68 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 1.30/1.68 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.30/1.68 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.30/1.68 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 1.30/1.68 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.30/1.68 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 1.30/1.68 [ ~( =( 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 1.30/1.68 , 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'(
% 1.30/1.68 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ), =( X, Z ) ],
% 1.30/1.68 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.30/1.68 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.30/1.68 X ) ) ), =( Y, Z ) ],
% 1.30/1.68 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP( hAPP(
% 1.30/1.68 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.30/1.68 X ) ) ), =( Y, Z ) ],
% 1.30/1.68 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.30/1.68 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ),
% 1.30/1.68 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 1.30/1.68 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.30/1.68 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.30/1.68 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.30/1.68 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.30/1.68 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.30/1.68 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ],
% 1.30/1.68 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.30/1.68 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.30/1.68 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.30/1.68 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.30/1.68 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.30/1.68 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ],
% 1.30/1.68 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.30/1.68 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.30/1.68 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.30/1.68 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.30/1.68 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.30/1.68 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.30/1.68 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.30/1.68 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.30/1.68 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.30/1.68 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.30/1.68 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.30/1.68 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.30/1.68 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.30/1.68 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.30/1.68 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.30/1.68 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Z ) ), Y ) ) ],
% 1.30/1.68 [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), T ) ), ~( hBOOL( hAPP( Y, T )
% 1.30/1.68 ) ) ],
% 1.30/1.68 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 1.30/1.68 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 1.30/1.68 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Z,
% 1.30/1.68 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.30/1.68 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 1.30/1.68 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 1.30/1.68 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Y,
% 1.30/1.68 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.30/1.68 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 1.30/1.68 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 1.30/1.68 ) ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.30/1.68 ) ],
% 1.30/1.68 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 1.30/1.68 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 1.30/1.68 ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.30/1.68 ) ],
% 1.30/1.68 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.30/1.68 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 1.30/1.68 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 1.30/1.68 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 1.30/1.68 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X,
% 1.30/1.68 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.30/1.68 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.30/1.68 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 1.30/1.68 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 1.30/1.68 [ =( 'c_Set_Oinsert'( X, Y, Z ),
% 1.30/1.68 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X,
% 1.30/1.68 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y,
% 1.30/1.68 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.30/1.68 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.30/1.68 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.30/1.68 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 1.30/1.68 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 1.30/1.68 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 1.30/1.68 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 1.30/1.68 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 1.30/1.68 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 1.30/1.68 'tc_bool' ) ) ) ],
% 1.30/1.68 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.30/1.68 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.30/1.68 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 1.30/1.68 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 1.30/1.68 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'v_i', 'tc_nat' ), 'v_n' ) ) ]
% 1.30/1.68 ,
% 1.30/1.68 [ ~( =( hAPP( hAPP( 'c_Finite__Set_Osetsum'( 'tc_nat',
% 1.30/1.68 'tc_Complex_Ocomplex' ), 'c_COMBS'( hAPP( hAPP( 'c_COMBB'(
% 1.30/1.68 'tc_Complex_Ocomplex', 'tc_fun'( 'tc_Complex_Ocomplex',
% 1.30/1.68 'tc_Complex_Ocomplex' ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'(
% 1.30/1.68 'tc_Complex_Ocomplex' ) ), hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'(
% 1.30/1.68 'tc_fun'( 'tc_nat', 'tc_Complex_Ocomplex' ), 'tc_fun'( 'tc_fun'( 'tc_nat'
% 1.30/1.68 , 'tc_bool' ), 'tc_Complex_Ocomplex' ), 'tc_nat' ),
% 1.30/1.68 'c_Finite__Set_Osetsum'( 'tc_nat', 'tc_Complex_Ocomplex' ) ), hAPP( hAPP(
% 1.30/1.68 'c_COMBB'( 'tc_Complex_Ocomplex', 'tc_fun'( 'tc_nat',
% 1.30/1.68 'tc_Complex_Ocomplex' ), 'tc_nat' ), 'c_Power_Opower__class_Opower'(
% 1.30/1.68 'tc_Complex_Ocomplex' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_nat',
% 1.30/1.68 'tc_Complex_Ocomplex', 'tc_nat' ), hAPP( 'c_Power_Opower__class_Opower'(
% 1.30/1.68 'tc_Complex_Ocomplex' ), 'c_FFT__Mirabelle_Oroot'( 'v_n' ) ) ), hAPP(
% 1.30/1.68 'c_COMBC'( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), 'tc_nat', 'tc_nat',
% 1.30/1.68 'tc_nat' ), 'v_i' ) ) ) ), 'tc_nat', 'tc_fun'( 'tc_nat', 'tc_bool' ),
% 1.30/1.68 'tc_Complex_Ocomplex' ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.30/1.68 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'v_n', 'tc_nat' ) ) ), 'v_a',
% 1.30/1.68 'tc_nat', 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ) ),
% 1.30/1.68 'c_SetInterval_Oord__class_OatLeastLessThan'( 'v_i', 'v_n', 'tc_nat' ) )
% 1.30/1.68 , hAPP( hAPP( 'c_Finite__Set_Osetsum'( 'tc_nat', 'tc_Complex_Ocomplex' )
% 1.30/1.68 , 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( 'tc_Complex_Ocomplex', 'tc_fun'(
% 1.30/1.68 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ), 'tc_nat' ),
% 1.30/1.68 'c_HOL_Otimes__class_Otimes'( 'tc_Complex_Ocomplex' ) ), hAPP( 'c_COMBC'(
% 1.30/1.68 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_nat', 'tc_Complex_Ocomplex' ),
% 1.30/1.68 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_Complex_Ocomplex' ),
% 1.30/1.68 'tc_nat' ), 'c_Finite__Set_Osetsum'( 'tc_nat', 'tc_Complex_Ocomplex' ) )
% 1.30/1.68 , hAPP( hAPP( 'c_COMBB'( 'tc_Complex_Ocomplex', 'tc_fun'( 'tc_nat',
% 1.30/1.68 'tc_Complex_Ocomplex' ), 'tc_nat' ), 'c_Power_Opower__class_Opower'(
% 1.30/1.68 'tc_Complex_Ocomplex' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_nat',
% 1.30/1.68 'tc_Complex_Ocomplex', 'tc_nat' ), hAPP( 'c_Power_Opower__class_Opower'(
% 1.30/1.68 'tc_Complex_Ocomplex' ), 'c_FFT__Mirabelle_Oroot'( 'v_n' ) ) ), hAPP(
% 1.30/1.68 'c_COMBC'( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), 'tc_nat', 'tc_nat',
% 1.30/1.68 'tc_nat' ), 'v_i' ) ) ) ), 'tc_nat', 'tc_fun'( 'tc_nat', 'tc_bool' ),
% 1.30/1.68 'tc_Complex_Ocomplex' ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.30/1.68 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'v_n', 'tc_nat' ) ) ), 'v_a',
% 1.30/1.68 'tc_nat', 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ) ),
% 1.30/1.68 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( 'v_i',
% 1.30/1.68 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_nat', 'tc_bool' ) ),
% 1.30/1.68 'tc_nat' ), 'c_SetInterval_Oord__class_OgreaterThanLessThan'( 'v_i',
% 1.30/1.68 'v_n', 'tc_nat' ), 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ) ) ) ],
% 1.30/1.68 [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_fun'( X, Y ) ), ~(
% 1.30/1.68 'class_Complete__Lattice_Ocomplete__lattice'( Y ) ) ],
% 1.30/1.68 [ 'class_Lattices_Oupper__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 1.30/1.68 'class_Lattices_Olattice'( Y ) ) ],
% 1.30/1.68 [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 1.30/1.68 'class_Lattices_Olattice'( Y ) ) ],
% 1.30/1.68 [ 'class_Lattices_Odistrib__lattice'( 'tc_fun'( X, Y ) ), ~(
% 1.30/1.68 'class_Lattices_Odistrib__lattice'( Y ) ) ],
% 1.30/1.68 [ 'class_Lattices_Obounded__lattice'( 'tc_fun'( X, Y ) ), ~(
% 1.30/1.68 'class_Lattices_Obounded__lattice'( Y ) ) ],
% 1.30/1.68 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 1.30/1.68 'class_Orderings_Opreorder'( Y ) ) ],
% 1.30/1.68 [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~(
% 1.30/1.68 'class_Lattices_Olattice'( Y ) ) ],
% 1.30/1.68 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 1.30/1.68 'class_Orderings_Oorder'( Y ) ) ],
% 1.30/1.68 [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Obot'(
% 1.30/1.68 Y ) ) ],
% 1.30/1.68 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 1.30/1.68 ],
% 1.30/1.68 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 1.30/1.68 ) ],
% 1.30/1.68 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 1.30/1.68 ],
% 1.30/1.68 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_nat' ) ]
% 1.30/1.68 ,
% 1.30/1.68 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 1.30/1.68 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 1.30/1.68 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 1.30/1.68 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 1.30/1.68 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 1.30/1.68 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' ) ],
% 1.30/1.68 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_nat' ) ],
% 1.30/1.68 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 1.30/1.68 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 1.30/1.68 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 1.30/1.68 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_nat' ) ],
% 1.30/1.68 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 1.30/1.68 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 1.30/1.68 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 1.30/1.68 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 1.30/1.68 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 1.30/1.68 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 1.30/1.68 [ 'class_Lattices_Oupper__semilattice'( 'tc_nat' ) ],
% 1.30/1.68 [ 'class_Lattices_Olower__semilattice'( 'tc_nat' ) ],
% 1.30/1.68 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ],
% 1.30/1.68 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ],
% 1.30/1.68 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_nat' ) ],
% 1.30/1.68 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 1.30/1.68 [ 'class_Ring__and__Field_Omult__mono'( 'tc_nat' ) ],
% 1.30/1.68 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 1.30/1.68 [ 'class_Lattices_Odistrib__lattice'( 'tc_nat' ) ],
% 1.30/1.68 [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 1.30/1.68 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 1.30/1.68 [ 'class_Nat_Osemiring__char__0'( 'tc_nat' ) ],
% 1.30/1.68 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 1.30/1.68 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 1.30/1.68 [ 'class_Lattices_Olattice'( 'tc_nat' ) ],
% 1.30/1.68 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 1.30/1.68 [ 'class_Orderings_Obot'( 'tc_nat' ) ],
% 1.30/1.68 [ 'class_Power_Opower'( 'tc_nat' ) ],
% 1.30/1.68 [ 'class_Int_Onumber'( 'tc_nat' ) ],
% 1.30/1.68 [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_bool' ) ],
% 1.30/1.68 [ 'class_Lattices_Oupper__semilattice'( 'tc_bool' ) ],
% 1.30/1.68 [ 'class_Lattices_Olower__semilattice'( 'tc_bool' ) ],
% 1.30/1.68 [ 'class_Lattices_Odistrib__lattice'( 'tc_bool' ) ],
% 1.30/1.68 [ 'class_Lattices_Obounded__lattice'( 'tc_bool' ) ],
% 1.30/1.68 [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 1.30/1.68 [ 'class_Lattices_Olattice'( 'tc_bool' ) ],
% 1.30/1.68 [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 1.30/1.68 [ 'class_Orderings_Obot'( 'tc_bool' ) ],
% 1.30/1.68 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 1.30/1.68 'tc_Int_Oint' ) ],
% 1.30/1.68 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 1.30/1.68 'tc_Int_Oint' ) ],
% 1.30/1.68 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 1.30/1.68 'tc_Int_Oint' ) ],
% 1.30/1.68 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_Int_Oint' )
% 1.30/1.68 ],
% 1.30/1.68 [ 'class_OrderedGroup_Olordered__ab__group__add__meet'( 'tc_Int_Oint' )
% 1.30/1.68 ],
% 1.30/1.68 [ 'class_OrderedGroup_Olordered__ab__group__add__join'( 'tc_Int_Oint' )
% 1.30/1.68 ],
% 1.30/1.68 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'( 'tc_Int_Oint' )
% 1.30/1.68 ],
% 1.30/1.68 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_Int_Oint' ) ]
% 1.30/1.68 ,
% 1.30/1.68 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_Int_Oint' ) ]
% 1.30/1.68 ,
% 1.30/1.68 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_Int_Oint' ) ]
% 1.30/1.68 ,
% 1.30/1.68 [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_Int_Oint' ) ]
% 1.30/1.68 ,
% 1.30/1.68 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_Int_Oint' ) ]
% 1.30/1.68 ,
% 1.30/1.68 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_Int_Oint' ) ]
% 1.30/1.68 ,
% 1.30/1.68 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.30/1.68 [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.30/1.68 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Int_Oint' ) ],
% 1.30/1.68 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_Int_Oint' ) ],
% 1.30/1.68 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_Int_Oint' ) ],
% 1.30/1.68 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Int_Oint' ) ],
% 1.30/1.68 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_Int_Oint' ) ],
% 1.30/1.68 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Int_Oint' ) ],
% 1.30/1.68 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_Int_Oint' ) ],
% 1.30/1.68 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Int_Oint' ) ],
% 1.30/1.68 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Int_Oint' ) ],
% 1.30/1.68 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Int_Oint' ) ],
% 1.30/1.68 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_Int_Oint' ) ],
% 1.30/1.68 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Int_Oint' ) ],
% 1.30/1.68 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Int_Oint' ) ],
% 1.30/1.68 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Int_Oint' ) ],
% 1.30/1.68 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_Int_Oint' ) ],
% 1.30/1.68 [ 'class_Lattices_Oupper__semilattice'( 'tc_Int_Oint' ) ],
% 1.30/1.68 [ 'class_Lattices_Olower__semilattice'( 'tc_Int_Oint' ) ],
% 1.30/1.68 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_Int_Oint' ) ],
% 1.30/1.68 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_Int_Oint' ) ],
% 1.30/1.68 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_Int_Oint' ) ],
% 1.30/1.68 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Int_Oint' ) ],
% 1.30/1.68 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Int_Oint' ) ],
% 1.30/1.68 [ 'class_Ring__and__Field_Omult__mono'( 'tc_Int_Oint' ) ],
% 1.30/1.68 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_Int_Oint' ) ],
% 1.30/1.68 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Int_Oint' ) ],
% 1.30/1.68 [ 'class_Lattices_Odistrib__lattice'( 'tc_Int_Oint' ) ],
% 1.30/1.68 [ 'class_Ring__and__Field_Osemiring'( 'tc_Int_Oint' ) ],
% 1.30/1.68 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Int_Oint' ) ],
% 1.30/1.68 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Int_Oint' ) ],
% 1.30/1.68 [ 'class_Ring__and__Field_Oring__1'( 'tc_Int_Oint' ) ],
% 1.30/1.68 [ 'class_Ring__and__Field_Oring'( 'tc_Int_Oint' ) ],
% 1.30/1.68 [ 'class_Ring__and__Field_Oidom'( 'tc_Int_Oint' ) ],
% 1.30/1.68 [ 'class_Nat_Osemiring__char__0'( 'tc_Int_Oint' ) ],
% 1.30/1.68 [ 'class_Orderings_Opreorder'( 'tc_Int_Oint' ) ],
% 1.30/1.68 [ 'class_Orderings_Olinorder'( 'tc_Int_Oint' ) ],
% 1.30/1.68 [ 'class_Lattices_Olattice'( 'tc_Int_Oint' ) ],
% 1.30/1.68 [ 'class_Orderings_Oorder'( 'tc_Int_Oint' ) ],
% 1.30/1.68 [ 'class_Int_Oring__char__0'( 'tc_Int_Oint' ) ],
% 1.30/1.68 [ 'class_Int_Onumber__ring'( 'tc_Int_Oint' ) ],
% 1.30/1.68 [ 'class_Power_Opower'( 'tc_Int_Oint' ) ],
% 1.30/1.68 [ 'class_Int_Onumber'( 'tc_Int_Oint' ) ],
% 1.30/1.68 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 1.30/1.68 'tc_Complex_Ocomplex' ) ],
% 1.30/1.68 [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 1.30/1.68 'tc_Complex_Ocomplex' ) ],
% 1.30/1.68 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 1.30/1.68 'tc_Complex_Ocomplex' ) ],
% 1.30/1.68 [ 'class_RealVector_Oreal__normed__div__algebra'( 'tc_Complex_Ocomplex'
% 1.30/1.68 ) ],
% 1.30/1.68 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Complex_Ocomplex' )
% 1.30/1.68 ],
% 1.30/1.68 [ 'class_RealVector_Oreal__normed__algebra__1'( 'tc_Complex_Ocomplex' )
% 1.30/1.68 ],
% 1.30/1.68 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Complex_Ocomplex' )
% 1.30/1.68 ],
% 1.30/1.68 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_Complex_Ocomplex' )
% 1.30/1.68 ],
% 1.30/1.68 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Complex_Ocomplex' ) ]
% 1.30/1.68 ,
% 1.30/1.68 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_Complex_Ocomplex' ) ]
% 1.30/1.68 ,
% 1.30/1.68 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_Complex_Ocomplex' ) ]
% 1.30/1.68 ,
% 1.30/1.68 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Complex_Ocomplex' ) ]
% 1.30/1.68 ,
% 1.30/1.68 [ 'class_RealVector_Oreal__normed__vector'( 'tc_Complex_Ocomplex' ) ]
% 1.30/1.68 ,
% 1.30/1.68 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Complex_Ocomplex' ) ]
% 1.30/1.68 ,
% 1.30/1.68 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Complex_Ocomplex' ) ]
% 1.30/1.68 ,
% 1.30/1.68 [ 'class_Ring__and__Field_Odivision__ring'( 'tc_Complex_Ocomplex' ) ]
% 1.30/1.68 ,
% 1.30/1.68 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Complex_Ocomplex' ) ]
% 1.30/1.68 ,
% 1.30/1.68 [ 'class_RealVector_Oreal__normed__field'( 'tc_Complex_Ocomplex' ) ]
% 1.30/1.68 ,
% 1.30/1.68 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Complex_Ocomplex' ) ]
% 1.30/1.68 ,
% 1.30/1.68 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Complex_Ocomplex' ) ]
% 1.30/1.68 ,
% 1.30/1.68 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_Complex_Ocomplex' ) ],
% 1.30/1.68 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_Complex_Ocomplex' ) ],
% 1.30/1.68 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Complex_Ocomplex' ) ],
% 1.30/1.68 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Complex_Ocomplex' ) ],
% 1.30/1.68 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_Complex_Ocomplex' ) ],
% 1.30/1.68 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Complex_Ocomplex' ) ],
% 1.30/1.68 [ 'class_Ring__and__Field_Osemiring'( 'tc_Complex_Ocomplex' ) ],
% 1.30/1.68 [ 'class_RealVector_Ometric__space'( 'tc_Complex_Ocomplex' ) ],
% 1.30/1.68 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Complex_Ocomplex' ) ],
% 1.30/1.68 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Complex_Ocomplex' ) ],
% 1.30/1.68 [ 'class_Ring__and__Field_Oring__1'( 'tc_Complex_Ocomplex' ) ],
% 1.30/1.68 [ 'class_RealVector_Oreal__field'( 'tc_Complex_Ocomplex' ) ],
% 1.30/1.68 [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex' ) ],
% 1.30/1.68 [ 'class_Ring__and__Field_Oring'( 'tc_Complex_Ocomplex' ) ],
% 1.30/1.68 [ 'class_Ring__and__Field_Oidom'( 'tc_Complex_Ocomplex' ) ],
% 1.30/1.68 [ 'class_Nat_Osemiring__char__0'( 'tc_Complex_Ocomplex' ) ],
% 1.30/1.68 [ 'class_Int_Oring__char__0'( 'tc_Complex_Ocomplex' ) ],
% 1.30/1.68 [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ],
% 1.30/1.68 [ 'class_Power_Opower'( 'tc_Complex_Ocomplex' ) ],
% 1.30/1.68 [ 'class_Int_Onumber'( 'tc_Complex_Ocomplex' ) ],
% 1.30/1.68 [ =( hAPP( 'c_COMBS'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), hAPP( Y
% 1.30/1.68 , W ) ) ) ],
% 1.30/1.68 [ =( hAPP( hAPP( 'c_COMBC'( X, Y, Z, T ), U ), W ), hAPP( hAPP( X, W ),
% 1.30/1.68 U ) ) ],
% 1.30/1.68 [ =( hAPP( hAPP( hAPP( 'c_COMBB'( X, Y, Z ), T ), U ), W ), hAPP( T,
% 1.30/1.68 hAPP( U, W ) ) ) ],
% 1.30/1.68 [ 'c_fequal'( X, X, Y ) ],
% 1.30/1.68 [ =( X, Y ), ~( 'c_fequal'( X, Y, Z ) ) ]
% 1.30/1.68 ] .
% 1.30/1.68
% 1.30/1.68
% 1.30/1.68 percentage equality = 0.180638, percentage horn = 0.841258
% 1.30/1.68 This is a problem with some equality
% 1.30/1.68
% 1.30/1.68
% 1.30/1.68
% 1.30/1.68 Options Used:
% 1.30/1.68
% 1.30/1.68 useres = 1
% 1.30/1.68 useparamod = 1
% 1.30/1.68 useeqrefl = 1
% 1.30/1.68 useeqfact = 1
% 1.30/1.68 usefactor = 1
% 1.30/1.68 usesimpsplitting = 0
% 1.30/1.68 usesimpdemod = 5
% 1.30/1.68 usesimpres = 3
% 1.30/1.68
% 1.30/1.68 resimpinuse = 1000
% 1.30/1.68 resimpclauses = 20000
% 1.30/1.68 substype = eqrewr
% 1.30/1.68 backwardsubs = 1
% 1.30/1.68 selectoldest = 5
% 1.30/1.68
% 1.30/1.68 litorderings [0] = split
% 1.30/1.68 litorderings [1] = extend the termordering, first sorting on arguments
% 1.30/1.68
% 1.30/1.68 termordering = kbo
% 1.30/1.68
% 1.30/1.68 litapriori = 0
% 1.30/1.68 termapriori = 1
% 1.30/1.68 litaposteriori = 0
% 1.30/1.68 termaposteriori = 0
% 1.30/1.68 demodaposteriori = 0
% 1.30/1.68 ordereqreflfact = 0
% 1.30/1.68
% 1.30/1.68 litselect = negord
% 1.30/1.68
% 1.30/1.68 maxweight = 15
% 1.30/1.68 maxdepth = 30000
% 1.30/1.68 maxlength = 115
% 1.30/1.68 maxnrvars = 195
% 1.30/1.68 excuselevel = 1
% 1.30/1.68 increasemaxweight = 1
% 1.30/1.68
% 1.30/1.68 maxselected = 10000000
% 1.30/1.68 maxnrclauses = 10000000
% 1.30/1.68
% 1.30/1.68 showgenerated = 0
% 1.30/1.68 showkept = 0
% 1.30/1.68 showselected = 0
% 1.30/1.68 showdeleted = 0
% 1.30/1.68 showresimp = 1
% 1.30/1.68 showstatus = 2000
% 1.30/1.68
% 1.30/1.68 prologoutput = 1
% 1.30/1.68 nrgoals = 5000000
% 1.30/1.68 totalproof = 1
% 1.30/1.68
% 1.30/1.68 Symbols occurring in the translation:
% 1.30/1.68
% 1.30/1.68 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.30/1.68 . [1, 2] (w:1, o:163, a:1, s:1, b:0),
% 1.30/1.68 ! [4, 1] (w:0, o:75, a:1, s:1, b:0),
% 1.30/1.68 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.30/1.68 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.30/1.68 'tc_nat' [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 1.30/1.68 'c_HOL_Otimes__class_Otimes' [40, 1] (w:1, o:80, a:1, s:1, b:0),
% 1.30/1.68 hAPP [42, 2] (w:1, o:188, a:1, s:1, b:0),
% 1.30/1.68 'c_lessequals' [44, 2] (w:1, o:189, a:1, s:1, b:0),
% 1.30/1.68 hBOOL [46, 1] (w:1, o:81, a:1, s:1, b:0),
% 1.30/1.68 'c_HOL_Oord__class_Oless' [49, 2] (w:1, o:192, a:1, s:1, b:0),
% 1.30/1.68 'c_Suc' [50, 0] (w:1, o:19, a:1, s:1, b:0),
% 1.30/1.68 'class_Ring__and__Field_Odivision__ring' [52, 1] (w:1, o:86, a:1, s:1
% 1.30/1.68 , b:0),
% 1.30/1.68 'class_Ring__and__Field_Odivision__by__zero' [53, 1] (w:1, o:87, a:1
% 1.30/1.68 , s:1, b:0),
% 1.30/1.68 'c_HOL_Oinverse__class_Oinverse' [54, 1] (w:1, o:88, a:1, s:1, b:0),
% 1.30/1.68
% 1.30/1.68 'class_Ring__and__Field_Oordered__field' [57, 1] (w:1, o:91, a:1, s:1
% 1.30/1.68 , b:0),
% 1.30/1.68 'class_Int_Onumber' [58, 1] (w:1, o:92, a:1, s:1, b:0),
% 1.30/1.68 'c_Int_Onumber__class_Onumber__of' [60, 2] (w:1, o:193, a:1, s:1, b:0
% 1.30/1.68 ),
% 1.30/1.68 'c_HOL_Ozero__class_Ozero' [62, 1] (w:1, o:93, a:1, s:1, b:0),
% 1.30/1.68 'c_HOL_Oinverse__class_Odivide' [63, 1] (w:1, o:94, a:1, s:1, b:0),
% 1.34/1.68 'class_OrderedGroup_Ocomm__monoid__add' [64, 1] (w:1, o:96, a:1, s:1
% 1.34/1.68 , b:0),
% 1.34/1.68 'c_Finite__Set_Osetsum' [65, 2] (w:1, o:194, a:1, s:1, b:0),
% 1.34/1.68 'c_SetInterval_Oord__class_OatMost' [67, 2] (w:1, o:195, a:1, s:1, b:
% 1.34/1.68 0),
% 1.34/1.68 'c_HOL_Oplus__class_Oplus' [68, 1] (w:1, o:98, a:1, s:1, b:0),
% 1.34/1.68 'c_SetInterval_Oord__class_OatLeastLessThan' [71, 3] (w:1, o:203, a:1
% 1.34/1.68 , s:1, b:0),
% 1.34/1.68 'c_HOL_Oone__class_Oone' [72, 1] (w:1, o:97, a:1, s:1, b:0),
% 1.34/1.68 'class_RealVector_Oreal__normed__field' [75, 1] (w:1, o:99, a:1, s:1
% 1.34/1.68 , b:0),
% 1.34/1.68 'c_Lim_OisCont' [76, 4] (w:1, o:215, a:1, s:1, b:0),
% 1.34/1.68 'c_Deriv_Oderiv' [78, 4] (w:1, o:217, a:1, s:1, b:0),
% 1.34/1.68 'class_Ring__and__Field_Ofield' [79, 1] (w:1, o:100, a:1, s:1, b:0),
% 1.34/1.68
% 1.34/1.68 'class_Ring__and__Field_Oordered__semidom' [80, 1] (w:1, o:102, a:1
% 1.34/1.68 , s:1, b:0),
% 1.34/1.68 'class_Lattices_Olower__semilattice' [81, 1] (w:1, o:103, a:1, s:1
% 1.34/1.68 , b:0),
% 1.34/1.68 'c_Lattices_Olower__semilattice__class_Oinf' [83, 3] (w:1, o:204, a:1
% 1.34/1.68 , s:1, b:0),
% 1.34/1.68 'class_Lattices_Olattice' [84, 1] (w:1, o:104, a:1, s:1, b:0),
% 1.34/1.68 'c_Deriv_Odifferentiable' [85, 3] (w:1, o:206, a:1, s:1, b:0),
% 1.34/1.68 'class_RealVector_Oreal__normed__vector' [87, 1] (w:1, o:105, a:1, s:
% 1.34/1.68 1, b:0),
% 1.34/1.68 'c_Series_Osuminf' [89, 2] (w:1, o:196, a:1, s:1, b:0),
% 1.34/1.68 'tc_fun' [91, 2] (w:1, o:197, a:1, s:1, b:0),
% 1.34/1.68 'c_COMBB' [92, 3] (w:1, o:205, a:1, s:1, b:0),
% 1.34/1.68 'c_COMBS' [93, 5] (w:1, o:221, a:1, s:1, b:0),
% 1.34/1.68 'c_Series_Osummable' [94, 2] (w:1, o:198, a:1, s:1, b:0),
% 1.34/1.68 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [95, 1]
% 1.34/1.68 (w:1, o:106, a:1, s:1, b:0),
% 1.34/1.68 'class_OrderedGroup_Opordered__ab__semigroup__add' [96, 1] (w:1, o:
% 1.34/1.68 107, a:1, s:1, b:0),
% 1.34/1.68 'c_HOL_Ominus__class_Ominus' [97, 1] (w:1, o:108, a:1, s:1, b:0),
% 1.34/1.68 'class_Ring__and__Field_Oordered__idom' [98, 1] (w:1, o:109, a:1, s:1
% 1.34/1.68 , b:0),
% 1.34/1.68 'class_Orderings_Olinorder' [99, 1] (w:1, o:110, a:1, s:1, b:0),
% 1.34/1.68 'class_Orderings_Oorder' [100, 1] (w:1, o:111, a:1, s:1, b:0),
% 1.34/1.68 'class_RealVector_Ometric__space' [102, 1] (w:1, o:112, a:1, s:1, b:0
% 1.34/1.68 ),
% 1.34/1.68 'class_RealVector_Oreal__normed__algebra__1' [103, 1] (w:1, o:113, a:
% 1.34/1.68 1, s:1, b:0),
% 1.34/1.68 'c_Lim_OLIM' [106, 5] (w:1, o:222, a:1, s:1, b:0),
% 1.34/1.68 'c_SEQ_OLIMSEQ' [107, 3] (w:1, o:207, a:1, s:1, b:0),
% 1.34/1.68 'v_n' [110, 0] (w:1, o:51, a:1, s:1, b:0),
% 1.34/1.68 'c_Lattices_Oupper__semilattice__class_Osup' [111, 3] (w:1, o:208, a:
% 1.34/1.68 1, s:1, b:0),
% 1.34/1.68 'class_OrderedGroup_Opordered__comm__monoid__add' [112, 1] (w:1, o:
% 1.34/1.68 114, a:1, s:1, b:0),
% 1.34/1.68 'tc_bool' [115, 0] (w:1, o:54, a:1, s:1, b:0),
% 1.34/1.68 'class_OrderedGroup_Olordered__ab__group__add' [117, 1] (w:1, o:115
% 1.34/1.68 , a:1, s:1, b:0),
% 1.34/1.68 'class_Ring__and__Field_Osemiring__1' [119, 1] (w:1, o:121, a:1, s:1
% 1.34/1.68 , b:0),
% 1.34/1.68 'c_Nat_Osemiring__1__class_Oof__nat' [120, 2] (w:1, o:199, a:1, s:1
% 1.34/1.68 , b:0),
% 1.34/1.68 'c_Set_Ovimage' [121, 4] (w:1, o:218, a:1, s:1, b:0),
% 1.34/1.68 'c_Power_Opower__class_Opower' [122, 1] (w:1, o:123, a:1, s:1, b:0),
% 1.34/1.68
% 1.34/1.68 'class_Ring__and__Field_Ocomm__semiring__1' [124, 1] (w:1, o:84, a:1
% 1.34/1.68 , s:1, b:0),
% 1.34/1.68 'class_Ring__and__Field_Oidom' [125, 1] (w:1, o:124, a:1, s:1, b:0),
% 1.34/1.68
% 1.34/1.68 'class_Int_Onumber__ring' [126, 1] (w:1, o:125, a:1, s:1, b:0),
% 1.34/1.68 'class_OrderedGroup_Ocancel__ab__semigroup__add' [127, 1] (w:1, o:126
% 1.34/1.68 , a:1, s:1, b:0),
% 1.34/1.68 'class_OrderedGroup_Ocancel__semigroup__add' [128, 1] (w:1, o:127, a:
% 1.34/1.68 1, s:1, b:0),
% 1.34/1.68 'class_Nat_Osemiring__char__0' [130, 1] (w:1, o:95, a:1, s:1, b:0),
% 1.34/1.68 'c_SEQ_OCauchy' [131, 2] (w:1, o:200, a:1, s:1, b:0),
% 1.34/1.68 'c_COMBC' [134, 4] (w:1, o:216, a:1, s:1, b:0),
% 1.34/1.68 'class_OrderedGroup_Ocomm__monoid__mult' [135, 1] (w:1, o:128, a:1
% 1.34/1.68 , s:1, b:0),
% 1.34/1.68 'c_Orderings_Obot__class_Obot' [136, 1] (w:1, o:122, a:1, s:1, b:0),
% 1.34/1.68
% 1.34/1.68 'c_Finite__Set_Osetprod' [137, 4] (w:1, o:219, a:1, s:1, b:0),
% 1.34/1.68 'class_Orderings_Opreorder' [138, 1] (w:1, o:129, a:1, s:1, b:0),
% 1.34/1.68 'class_OrderedGroup_Oab__group__add' [139, 1] (w:1, o:130, a:1, s:1
% 1.34/1.68 , b:0),
% 1.34/1.68 'class_OrderedGroup_Oab__semigroup__add' [140, 1] (w:1, o:131, a:1
% 6.14/6.51 , s:1, b:0),
% 6.14/6.51 'class_OrderedGroup_Olordered__ab__group__add__meet' [141, 1] (w:1
% 6.14/6.51 , o:132, a:1, s:1, b:0),
% 6.14/6.51 'c_Series_Osums' [142, 3] (w:1, o:209, a:1, s:1, b:0),
% 6.14/6.51 'c_Set_Oinsert' [145, 3] (w:1, o:210, a:1, s:1, b:0),
% 6.14/6.51 'class_Ring__and__Field_Osemiring' [146, 1] (w:1, o:133, a:1, s:1, b:
% 6.14/6.51 0),
% 6.14/6.51 'class_Int_Oring__char__0' [148, 1] (w:1, o:134, a:1, s:1, b:0),
% 6.14/6.51 'class_RealVector_Oreal__normed__div__algebra' [149, 1] (w:1, o:135
% 6.14/6.51 , a:1, s:1, b:0),
% 6.14/6.51 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [151, 1]
% 6.14/6.51 (w:1, o:136, a:1, s:1, b:0),
% 6.14/6.51 'class_Ring__and__Field_Ozero__neq__one' [152, 1] (w:1, o:137, a:1
% 6.14/6.51 , s:1, b:0),
% 6.14/6.51 'class_OrderedGroup_Omonoid__add' [154, 1] (w:1, o:139, a:1, s:1, b:0
% 6.14/6.51 ),
% 6.14/6.51 'c_Limits_Otendsto' [156, 5] (w:1, o:223, a:1, s:1, b:0),
% 6.14/6.51 'class_Ring__and__Field_Oordered__semiring__strict' [157, 1] (w:1, o:
% 6.14/6.51 140, a:1, s:1, b:0),
% 6.14/6.51 'class_Ring__and__Field_Oordered__ring__strict' [158, 1] (w:1, o:101
% 6.14/6.51 , a:1, s:1, b:0),
% 6.14/6.51 'class_Ring__and__Field_Oordered__semiring' [159, 1] (w:1, o:141, a:1
% 6.14/6.51 , s:1, b:0),
% 6.14/6.51 'class_OrderedGroup_Opordered__ab__group__add' [160, 1] (w:1, o:142
% 6.14/6.51 , a:1, s:1, b:0),
% 6.14/6.51 'class_OrderedGroup_Omonoid__mult' [161, 1] (w:1, o:143, a:1, s:1, b:
% 6.14/6.51 0),
% 6.14/6.51 'class_RealVector_Oreal__normed__algebra' [163, 1] (w:1, o:144, a:1
% 6.14/6.51 , s:1, b:0),
% 6.14/6.51 'tc_Complex_Ocomplex' [164, 0] (w:1, o:66, a:1, s:1, b:0),
% 6.14/6.51 'c_FFT__Mirabelle_Oroot' [165, 1] (w:1, o:145, a:1, s:1, b:0),
% 6.14/6.51 'c_SEQ_OZseq' [166, 2] (w:1, o:201, a:1, s:1, b:0),
% 6.14/6.51 'c_SetInterval_Oord__class_OgreaterThanLessThan' [167, 3] (w:1, o:211
% 6.14/6.51 , a:1, s:1, b:0),
% 6.14/6.51 'class_Ring__and__Field_Oordered__comm__semiring__strict' [168, 1]
% 6.14/6.51 (w:1, o:146, a:1, s:1, b:0),
% 6.14/6.51 'class_Ring__and__Field_Omult__mono1' [169, 1] (w:1, o:147, a:1, s:1
% 6.14/6.51 , b:0),
% 6.14/6.51 'class_Ring__and__Field_Omult__mono' [170, 1] (w:1, o:148, a:1, s:1
% 6.14/6.51 , b:0),
% 6.14/6.51 'class_Ring__and__Field_Opordered__ring' [171, 1] (w:1, o:149, a:1
% 6.14/6.51 , s:1, b:0),
% 6.14/6.51 'class_Ring__and__Field_Ocomm__semiring' [172, 1] (w:1, o:85, a:1, s:
% 6.14/6.51 1, b:0),
% 6.14/6.51 'class_RealVector_Oreal__field' [176, 1] (w:1, o:150, a:1, s:1, b:0)
% 6.14/6.51 ,
% 6.14/6.51 'c_Limits_OZfun' [178, 4] (w:1, o:220, a:1, s:1, b:0),
% 6.14/6.51 'class_OrderedGroup_Ogroup__add' [181, 1] (w:1, o:151, a:1, s:1, b:0)
% 6.14/6.51 ,
% 6.14/6.51 'class_Lattices_Obounded__lattice' [182, 1] (w:1, o:152, a:1, s:1, b:
% 6.14/6.51 0),
% 6.14/6.51 'class_Orderings_Obot' [183, 1] (w:1, o:153, a:1, s:1, b:0),
% 6.14/6.51 'class_Ring__and__Field_Opordered__cancel__semiring' [184, 1] (w:1
% 6.14/6.51 , o:154, a:1, s:1, b:0),
% 6.14/6.51 'class_Ring__and__Field_Opordered__semiring' [185, 1] (w:1, o:155, a:
% 6.14/6.51 1, s:1, b:0),
% 6.14/6.51 'class_Ring__and__Field_Oring' [188, 1] (w:1, o:116, a:1, s:1, b:0),
% 6.14/6.51
% 6.14/6.51 'class_Ring__and__Field_Ono__zero__divisors' [189, 1] (w:1, o:90, a:1
% 6.14/6.51 , s:1, b:0),
% 6.14/6.51 'class_Ring__and__Field_Omult__zero' [190, 1] (w:1, o:89, a:1, s:1
% 6.14/6.51 , b:0),
% 6.14/6.51 'class_Power_Opower' [191, 1] (w:1, o:158, a:1, s:1, b:0),
% 6.14/6.51 'class_Ring__and__Field_Osemiring__0' [192, 1] (w:1, o:120, a:1, s:1
% 6.14/6.51 , b:0),
% 6.14/6.51 'class_Complete__Lattice_Ocomplete__lattice' [194, 1] (w:1, o:159, a:
% 6.14/6.51 1, s:1, b:0),
% 6.14/6.51 'c_Complete__Lattice_OSup__class_OSup' [195, 2] (w:1, o:202, a:1, s:1
% 6.14/6.51 , b:0),
% 6.14/6.51 'c_GCD_Ogcd__class_OGCD' [196, 2] (w:1, o:190, a:1, s:1, b:0),
% 6.14/6.51 'class_Ring__and__Field_Oring__1' [197, 1] (w:1, o:117, a:1, s:1, b:0
% 6.14/6.51 ),
% 6.14/6.51 'class_Lattices_Oupper__semilattice' [198, 1] (w:1, o:160, a:1, s:1
% 6.14/6.51 , b:0),
% 6.14/6.51 'class_Lattices_Odistrib__lattice' [199, 1] (w:1, o:161, a:1, s:1, b:
% 6.14/6.51 0),
% 6.14/6.51 'class_OrderedGroup_Olordered__ab__group__add__join' [200, 1] (w:1
% 6.14/6.51 , o:138, a:1, s:1, b:0),
% 6.14/6.51 'c_SEQ_Osko__SEQ__XLIMSEQ__setsum__1__1' [202, 5] (w:1, o:224, a:1
% 6.14/6.51 , s:1, b:0),
% 6.14/6.51 'v_i' [203, 0] (w:1, o:69, a:1, s:1, b:0),
% 6.14/6.51 'c_GCD_Ogcd__class_OLCM' [204, 2] (w:1, o:191, a:1, s:1, b:0),
% 6.14/6.51 'c_FFT__Mirabelle_OIDFT' [205, 3] (w:1, o:212, a:1, s:1, b:0),
% 6.14/6.51 'c_HOL_OIf' [206, 1] (w:1, o:162, a:1, s:1, b:0),
% 6.14/6.51 'v_a' [207, 0] (w:1, o:70, a:1, s:1, b:0),
% 23.44/23.85 'c_FFT__Mirabelle_ODFT' [208, 3] (w:1, o:213, a:1, s:1, b:0),
% 23.44/23.85 'class_Ring__and__Field_Ocomm__semiring__0' [209, 1] (w:1, o:83, a:1
% 23.44/23.85 , s:1, b:0),
% 23.44/23.85 'class_Ring__and__Field_Ocomm__ring' [210, 1] (w:1, o:82, a:1, s:1
% 23.44/23.85 , b:0),
% 23.44/23.85 'class_Ring__and__Field_Oring__no__zero__divisors' [211, 1] (w:1, o:
% 23.44/23.85 118, a:1, s:1, b:0),
% 23.44/23.85 'class_OrderedGroup_Oab__semigroup__mult' [216, 1] (w:1, o:156, a:1
% 23.44/23.85 , s:1, b:0),
% 23.44/23.85 'class_OrderedGroup_Oab__semigroup__idem__mult' [217, 1] (w:1, o:157
% 23.44/23.85 , a:1, s:1, b:0),
% 23.44/23.85 'class_Ring__and__Field_Oring__1__no__zero__divisors' [218, 1] (w:1
% 23.44/23.85 , o:119, a:1, s:1, b:0),
% 23.44/23.85 'tc_Int_Oint' [223, 0] (w:1, o:74, a:1, s:1, b:0),
% 23.44/23.85 'c_fequal' [224, 3] (w:1, o:214, a:1, s:1, b:0).
% 23.44/23.85
% 23.44/23.85
% 23.44/23.85 Starting Search:
% 23.44/23.85
% 23.44/23.85 Resimplifying inuse:
% 23.44/23.85 Done
% 23.44/23.85
% 23.44/23.85
% 23.44/23.85 Intermediate Status:
% 23.44/23.85 Generated: 4096
% 23.44/23.85 Kept: 2156
% 23.44/23.85 Inuse: 84
% 23.44/23.85 Deleted: 2
% 23.44/23.85 Deletedinuse: 0
% 23.44/23.85
% 23.44/23.85 Resimplifying inuse:
% 23.44/23.85 Done
% 23.44/23.85
% 23.44/23.85 Resimplifying inuse:
% 23.44/23.85 Done
% 23.44/23.85
% 23.44/23.85
% 23.44/23.85 Intermediate Status:
% 23.44/23.85 Generated: 11771
% 23.44/23.85 Kept: 4187
% 23.44/23.85 Inuse: 207
% 23.44/23.85 Deleted: 9
% 23.44/23.85 Deletedinuse: 0
% 23.44/23.85
% 23.44/23.85 Resimplifying inuse:
% 23.44/23.85 Done
% 23.44/23.85
% 23.44/23.85 Resimplifying inuse:
% 23.44/23.85 Done
% 23.44/23.85
% 23.44/23.85
% 23.44/23.85 Intermediate Status:
% 23.44/23.85 Generated: 21785
% 23.44/23.85 Kept: 6450
% 23.44/23.85 Inuse: 281
% 23.44/23.85 Deleted: 10
% 23.44/23.85 Deletedinuse: 0
% 23.44/23.85
% 23.44/23.85 Resimplifying inuse:
% 23.44/23.85 Done
% 23.44/23.85
% 23.44/23.85
% 23.44/23.85 Intermediate Status:
% 23.44/23.85 Generated: 31682
% 23.44/23.85 Kept: 8540
% 23.44/23.85 Inuse: 301
% 23.44/23.85 Deleted: 10
% 23.44/23.85 Deletedinuse: 0
% 23.44/23.85
% 23.44/23.85 Resimplifying inuse:
% 23.44/23.85 Done
% 23.44/23.85
% 23.44/23.85 Resimplifying inuse:
% 23.44/23.85 Done
% 23.44/23.85
% 23.44/23.85
% 23.44/23.85 Intermediate Status:
% 23.44/23.85 Generated: 41715
% 23.44/23.85 Kept: 10760
% 23.44/23.85 Inuse: 364
% 23.44/23.85 Deleted: 12
% 23.44/23.85 Deletedinuse: 0
% 23.44/23.85
% 23.44/23.85 Resimplifying inuse:
% 23.44/23.85 Done
% 23.44/23.85
% 23.44/23.85 Resimplifying inuse:
% 23.44/23.85 Done
% 23.44/23.85
% 23.44/23.85
% 23.44/23.85 Intermediate Status:
% 23.44/23.85 Generated: 53025
% 23.44/23.85 Kept: 14060
% 23.44/23.85 Inuse: 426
% 23.44/23.85 Deleted: 14
% 23.44/23.85 Deletedinuse: 0
% 23.44/23.85
% 23.44/23.85 Resimplifying inuse:
% 23.44/23.85 Done
% 23.44/23.85
% 23.44/23.85 Resimplifying inuse:
% 23.44/23.85 Done
% 23.44/23.85
% 23.44/23.85
% 23.44/23.85 Intermediate Status:
% 23.44/23.85 Generated: 61568
% 23.44/23.85 Kept: 16312
% 23.44/23.85 Inuse: 442
% 23.44/23.85 Deleted: 14
% 23.44/23.85 Deletedinuse: 0
% 23.44/23.85
% 23.44/23.85 Resimplifying inuse:
% 23.44/23.85 Done
% 23.44/23.85
% 23.44/23.85
% 23.44/23.85 Intermediate Status:
% 23.44/23.85 Generated: 73904
% 23.44/23.85 Kept: 19283
% 23.44/23.85 Inuse: 487
% 23.44/23.85 Deleted: 19
% 23.44/23.85 Deletedinuse: 0
% 23.44/23.85
% 23.44/23.85 Resimplifying inuse:
% 23.44/23.85 Done
% 23.44/23.85
% 23.44/23.85 Resimplifying inuse:
% 23.44/23.85 Done
% 23.44/23.85
% 23.44/23.85 Resimplifying clauses:
% 23.44/23.85 Done
% 23.44/23.85
% 23.44/23.85
% 23.44/23.85 Intermediate Status:
% 23.44/23.85 Generated: 85682
% 23.44/23.85 Kept: 22510
% 23.44/23.85 Inuse: 497
% 23.44/23.85 Deleted: 173
% 23.44/23.85 Deletedinuse: 0
% 23.44/23.85
% 23.44/23.85 Resimplifying inuse:
% 23.44/23.85 Done
% 23.44/23.85
% 23.44/23.85 Resimplifying inuse:
% 23.44/23.85 Done
% 23.44/23.85
% 23.44/23.85
% 23.44/23.85 Intermediate Status:
% 23.44/23.85 Generated: 94903
% 23.44/23.85 Kept: 25742
% 23.44/23.85 Inuse: 507
% 23.44/23.85 Deleted: 173
% 23.44/23.85 Deletedinuse: 0
% 23.44/23.85
% 23.44/23.85 Resimplifying inuse:
% 23.44/23.85 Done
% 23.44/23.85
% 23.44/23.85
% 23.44/23.85 Intermediate Status:
% 23.44/23.85 Generated: 108451
% 23.44/23.85 Kept: 29041
% 23.44/23.85 Inuse: 522
% 23.44/23.85 Deleted: 173
% 23.44/23.85 Deletedinuse: 0
% 23.44/23.85
% 23.44/23.85 Resimplifying inuse:
% 23.44/23.85 Done
% 23.44/23.85
% 23.44/23.85 Resimplifying inuse:
% 23.44/23.85 Done
% 23.44/23.85
% 23.44/23.85
% 23.44/23.85 Intermediate Status:
% 23.44/23.85 Generated: 116844
% 23.44/23.85 Kept: 31113
% 23.44/23.85 Inuse: 557
% 23.44/23.85 Deleted: 173
% 23.44/23.85 Deletedinuse: 0
% 23.44/23.85
% 23.44/23.85 Resimplifying inuse:
% 23.44/23.85 Done
% 23.44/23.85
% 23.44/23.85 Resimplifying inuse:
% 23.44/23.85 Done
% 23.44/23.85
% 23.44/23.85
% 23.44/23.85 Intermediate Status:
% 23.44/23.85 Generated: 122471
% 23.44/23.85 Kept: 33227
% 23.44/23.85 Inuse: 587
% 23.44/23.85 Deleted: 173
% 23.44/23.85 Deletedinuse: 0
% 23.44/23.85
% 23.44/23.85 Resimplifying inuse:
% 23.44/23.85 Done
% 23.44/23.85
% 23.44/23.85 Resimplifying inuse:
% 23.44/23.85 Done
% 23.44/23.85
% 23.44/23.85
% 23.44/23.85 Intermediate Status:
% 23.44/23.85 Generated: 133847
% 23.44/23.85 Kept: 35448
% 23.44/23.85 Inuse: 617
% 23.44/23.85 Deleted: 173
% 23.44/23.85 Deletedinuse: 0
% 23.44/23.85
% 23.44/23.85 Resimplifying inuse:
% 23.44/23.85 Done
% 23.44/23.85
% 23.44/23.85 Resimplifying inuse:
% 23.44/23.85 Done
% 23.44/23.85
% 23.44/23.85
% 23.44/23.85 Intermediate Status:
% 23.44/23.85 Generated: 140512
% 23.44/23.85 Kept: 37608
% 23.44/23.85 Inuse: 637
% 23.44/23.85 Deleted: 173
% 23.44/23.85 Deletedinuse: 0
% 23.44/23.85
% 23.44/23.85 Resimplifying inuse:
% 23.44/23.85 Done
% 23.44/23.85
% 23.44/23.85 Resimplifying inuse:
% 23.44/23.85 Done
% 23.44/23.85
% 23.44/23.85
% 23.44/23.85 Intermediate Status:
% 23.44/23.85 Generated: 146433
% 23.44/23.85 Kept: 39722
% 23.44/23.85 Inuse: 667
% 23.44/23.85 Deleted: 173
% 23.44/23.85 Deletedinuse: 0
% 23.44/23.85
% 23.44/23.85 Resimplifying inuse:
% 23.44/23.85 Done
% 23.44/23.85
% 23.44/23.85 Resimplifying clauses:
% 23.44/23.85 Done
% 23.44/23.85
% 23.44/23.85
% 23.44/23.85 Intermediate Status:
% 23.44/23.85 Generated: 153500
% 23.44/23.85 Kept: 42050
% 23.44/23.85 Inuse: 697
% 23.44/23.85 Deleted: 251
% 23.44/23.85 Deletedinuse: 0
% 23.44/23.85
% 23.44/23.85 Resimplifying inuse:
% 23.44/23.85 Done
% 23.44/23.85
% 23.44/23.85 Resimplifying inuse:
% 23.44/23.85 Done
% 23.44/23.85
% 23.44/23.85
% 23.44/23.85 Intermediate Status:
% 23.44/23.85 Generated: 167588
% 23.44/23.85 Kept: 44677
% 23.44/23.85 Inuse: 712
% 23.44/23.85 Deleted: 251
% 23.44/23.85 Deletedinuse: 0
% 23.44/23.85
% 23.44/23.85 Resimplifying inuse:
% 23.44/23.85 Done
% 23.44/23.85
% 23.44/23.85 Resimplifying inuse:
% 23.44/23.85 Done
% 23.44/23.85
% 23.44/23.85
% 23.44/23.85 Intermediate Status:
% 23.44/23.85 Generated: 181006
% 23.44/23.85 Kept: 47113
% 23.44/23.85 Inuse: 722
% 23.44/23.85 Deleted: 251
% 23.44/23.85 Deletedinuse: 0
% 23.44/23.85
% 23.44/23.85 Resimplifying inuse:
% 23.44/23.85 Done
% 23.44/23.85
% 23.44/23.85 Resimplifying inuse:
% 23.44/23.85 Done
% 23.44/23.85
% 23.44/23.85
% 23.44/23.85 Intermediate Status:
% 23.44/23.85 Generated: 194644
% 23.44/23.85 Kept: 49582
% 23.44/23.85 Inuse: 732
% 23.44/23.85 Deleted: 251
% 23.44/23.85 Deletedinuse: 0
% 74.92/75.36
% 74.92/75.36 Resimplifying inuse:
% 74.92/75.36 Done
% 74.92/75.36
% 74.92/75.36 Resimplifying inuse:
% 74.92/75.36 Done
% 74.92/75.36
% 74.92/75.36
% 74.92/75.36 Intermediate Status:
% 74.92/75.36 Generated: 203063
% 74.92/75.36 Kept: 52260
% 74.92/75.36 Inuse: 757
% 74.92/75.36 Deleted: 251
% 74.92/75.36 Deletedinuse: 0
% 74.92/75.36
% 74.92/75.36 Resimplifying inuse:
% 74.92/75.36 Done
% 74.92/75.36
% 74.92/75.36 Resimplifying inuse:
% 74.92/75.36 Done
% 74.92/75.36
% 74.92/75.36
% 74.92/75.36 Intermediate Status:
% 74.92/75.36 Generated: 210780
% 74.92/75.36 Kept: 54370
% 74.92/75.36 Inuse: 777
% 74.92/75.36 Deleted: 251
% 74.92/75.36 Deletedinuse: 0
% 74.92/75.36
% 74.92/75.36
% 74.92/75.36 Intermediate Status:
% 74.92/75.36 Generated: 221766
% 74.92/75.36 Kept: 57270
% 74.92/75.36 Inuse: 787
% 74.92/75.36 Deleted: 251
% 74.92/75.36 Deletedinuse: 0
% 74.92/75.36
% 74.92/75.36 Resimplifying inuse:
% 74.92/75.36 Done
% 74.92/75.36
% 74.92/75.36
% 74.92/75.36 Intermediate Status:
% 74.92/75.36 Generated: 232571
% 74.92/75.36 Kept: 59980
% 74.92/75.36 Inuse: 792
% 74.92/75.36 Deleted: 251
% 74.92/75.36 Deletedinuse: 0
% 74.92/75.36
% 74.92/75.36 Resimplifying inuse:
% 74.92/75.36 Done
% 74.92/75.36
% 74.92/75.36 Resimplifying inuse:
% 74.92/75.36 Done
% 74.92/75.36
% 74.92/75.36 Resimplifying clauses:
% 74.92/75.36 Done
% 74.92/75.36
% 74.92/75.36
% 74.92/75.36 Intermediate Status:
% 74.92/75.36 Generated: 242815
% 74.92/75.36 Kept: 62556
% 74.92/75.36 Inuse: 822
% 74.92/75.36 Deleted: 373
% 74.92/75.36 Deletedinuse: 0
% 74.92/75.36
% 74.92/75.36 Resimplifying inuse:
% 74.92/75.36 Done
% 74.92/75.36
% 74.92/75.36 Resimplifying inuse:
% 74.92/75.36 Done
% 74.92/75.36
% 74.92/75.36
% 74.92/75.36 Intermediate Status:
% 74.92/75.36 Generated: 249064
% 74.92/75.36 Kept: 64670
% 74.92/75.36 Inuse: 837
% 74.92/75.36 Deleted: 373
% 74.92/75.36 Deletedinuse: 0
% 74.92/75.36
% 74.92/75.36 Resimplifying inuse:
% 74.92/75.36 Done
% 74.92/75.36
% 74.92/75.36
% 74.92/75.36 Intermediate Status:
% 74.92/75.36 Generated: 262432
% 74.92/75.36 Kept: 68245
% 74.92/75.36 Inuse: 847
% 74.92/75.36 Deleted: 373
% 74.92/75.36 Deletedinuse: 0
% 74.92/75.36
% 74.92/75.36 Resimplifying inuse:
% 74.92/75.36 Done
% 74.92/75.36
% 74.92/75.36 Resimplifying inuse:
% 74.92/75.36 Done
% 74.92/75.36
% 74.92/75.36
% 74.92/75.36 Intermediate Status:
% 74.92/75.36 Generated: 268985
% 74.92/75.36 Kept: 70403
% 74.92/75.36 Inuse: 857
% 74.92/75.36 Deleted: 373
% 74.92/75.36 Deletedinuse: 0
% 74.92/75.36
% 74.92/75.36 Resimplifying inuse:
% 74.92/75.36 Done
% 74.92/75.36
% 74.92/75.36 Resimplifying inuse:
% 74.92/75.36 Done
% 74.92/75.36
% 74.92/75.36
% 74.92/75.36 Intermediate Status:
% 74.92/75.36 Generated: 277264
% 74.92/75.36 Kept: 72924
% 74.92/75.36 Inuse: 877
% 74.92/75.36 Deleted: 373
% 74.92/75.36 Deletedinuse: 0
% 74.92/75.36
% 74.92/75.36 Resimplifying inuse:
% 74.92/75.36 Done
% 74.92/75.36
% 74.92/75.36 Resimplifying inuse:
% 74.92/75.36 Done
% 74.92/75.36
% 74.92/75.36
% 74.92/75.36 Intermediate Status:
% 74.92/75.36 Generated: 285639
% 74.92/75.36 Kept: 75042
% 74.92/75.36 Inuse: 902
% 74.92/75.36 Deleted: 374
% 74.92/75.36 Deletedinuse: 1
% 74.92/75.36
% 74.92/75.36 Resimplifying inuse:
% 74.92/75.36 Done
% 74.92/75.36
% 74.92/75.36 Resimplifying inuse:
% 74.92/75.36 Done
% 74.92/75.36
% 74.92/75.36
% 74.92/75.36 Intermediate Status:
% 74.92/75.36 Generated: 295750
% 74.92/75.36 Kept: 77684
% 74.92/75.36 Inuse: 927
% 74.92/75.36 Deleted: 374
% 74.92/75.36 Deletedinuse: 1
% 74.92/75.36
% 74.92/75.36 Resimplifying inuse:
% 74.92/75.36 Done
% 74.92/75.36
% 74.92/75.36 Resimplifying inuse:
% 74.92/75.36 Done
% 74.92/75.36
% 74.92/75.36
% 74.92/75.36 Intermediate Status:
% 74.92/75.36 Generated: 306332
% 74.92/75.36 Kept: 80826
% 74.92/75.36 Inuse: 942
% 74.92/75.36 Deleted: 374
% 74.92/75.36 Deletedinuse: 1
% 74.92/75.36
% 74.92/75.36 Resimplifying inuse:
% 74.92/75.36 Done
% 74.92/75.36
% 74.92/75.36 Resimplifying inuse:
% 74.92/75.36 Done
% 74.92/75.36
% 74.92/75.36 Resimplifying clauses:
% 74.92/75.36 Done
% 74.92/75.36
% 74.92/75.36
% 74.92/75.36 Intermediate Status:
% 74.92/75.36 Generated: 314884
% 74.92/75.36 Kept: 83256
% 74.92/75.36 Inuse: 952
% 74.92/75.36 Deleted: 801
% 74.92/75.36 Deletedinuse: 1
% 74.92/75.36
% 74.92/75.36 Resimplifying inuse:
% 74.92/75.36 Done
% 74.92/75.36
% 74.92/75.36 Resimplifying inuse:
% 74.92/75.36 Done
% 74.92/75.36
% 74.92/75.36
% 74.92/75.36 Intermediate Status:
% 74.92/75.36 Generated: 323968
% 74.92/75.36 Kept: 85305
% 74.92/75.36 Inuse: 972
% 74.92/75.36 Deleted: 801
% 74.92/75.36 Deletedinuse: 1
% 74.92/75.36
% 74.92/75.36 Resimplifying inuse:
% 74.92/75.36 Done
% 74.92/75.36
% 74.92/75.36
% 74.92/75.36 Intermediate Status:
% 74.92/75.36 Generated: 335085
% 74.92/75.36 Kept: 87374
% 74.92/75.36 Inuse: 997
% 74.92/75.36 Deleted: 801
% 74.92/75.36 Deletedinuse: 1
% 74.92/75.36
% 74.92/75.36 Resimplifying inuse:
% 74.92/75.36 Done
% 74.92/75.36
% 74.92/75.36
% 74.92/75.36 Intermediate Status:
% 74.92/75.36 Generated: 342897
% 74.92/75.36 Kept: 89594
% 74.92/75.36 Inuse: 1007
% 74.92/75.36 Deleted: 801
% 74.92/75.36 Deletedinuse: 1
% 74.92/75.36
% 74.92/75.36 Resimplifying inuse:
% 74.92/75.36 Done
% 74.92/75.36
% 74.92/75.36 Resimplifying inuse:
% 74.92/75.36 Done
% 74.92/75.36
% 74.92/75.36
% 74.92/75.36 Intermediate Status:
% 74.92/75.36 Generated: 352211
% 74.92/75.36 Kept: 91800
% 74.92/75.36 Inuse: 1037
% 74.92/75.36 Deleted: 801
% 74.92/75.36 Deletedinuse: 1
% 74.92/75.36
% 74.92/75.36 Resimplifying inuse:
% 74.92/75.36 Done
% 74.92/75.36
% 74.92/75.36 Resimplifying inuse:
% 74.92/75.36 Done
% 74.92/75.36
% 74.92/75.36
% 74.92/75.36 Intermediate Status:
% 74.92/75.36 Generated: 361242
% 74.92/75.36 Kept: 93804
% 74.92/75.36 Inuse: 1067
% 74.92/75.36 Deleted: 801
% 74.92/75.36 Deletedinuse: 1
% 74.92/75.36
% 74.92/75.36 Resimplifying inuse:
% 74.92/75.36 Done
% 74.92/75.36
% 74.92/75.36 Resimplifying inuse:
% 74.92/75.36 Done
% 74.92/75.36
% 74.92/75.36
% 74.92/75.36 Intermediate Status:
% 74.92/75.36 Generated: 377244
% 74.92/75.36 Kept: 95953
% 74.92/75.36 Inuse: 1112
% 74.92/75.36 Deleted: 801
% 74.92/75.36 Deletedinuse: 1
% 74.92/75.36
% 74.92/75.36 Resimplifying inuse:
% 74.92/75.36 Done
% 74.92/75.36
% 74.92/75.36 Resimplifying inuse:
% 74.92/75.36 Done
% 74.92/75.36
% 74.92/75.36
% 74.92/75.36 Intermediate Status:
% 74.92/75.36 Generated: 385117
% 74.92/75.36 Kept: 98120
% 74.92/75.36 Inuse: 1137
% 74.92/75.36 Deleted: 802
% 74.92/75.36 Deletedinuse: 2
% 74.92/75.36
% 74.92/75.36 Resimplifying inuse:
% 74.92/75.36 Done
% 74.92/75.36
% 74.92/75.36
% 74.92/75.36 Intermediate Status:
% 74.92/75.36 Generated: 396600
% 74.92/75.36 Kept: 101251
% 74.92/75.36 Inuse: 1157
% 74.92/75.36 Deleted: 802
% 74.92/75.36 Deletedinuse: 2
% 74.92/75.36
% 74.92/75.36 Resimplifying inuse:
% 74.92/75.36 Done
% 74.92/75.36
% 74.92/75.36
% 74.92/75.36 Intermediate Status:
% 74.92/75.36 Generated: 404155
% 74.92/75.36 Kept: 103544
% 74.92/75.36 Inuse: 1162
% 74.92/75.36 Deleted: 802
% 74.92/75.36 Deletedinuse: 2
% 74.92/75.36
% 74.92/75.36 Resimplifying inuse:
% 74.92/75.36 Done
% 74.92/75.36
% 74.92/75.36 Resimplifying clauses:
% 74.92/75.36 Done
% 74.92/75.36
% 74.92/75.36 Resimplifying inuse:
% 74.92/75.36 Done
% 74.92/75.36
% 74.92/75.36
% 74.92/75.36 Intermediate Status:
% 74.92/75.36 Generated: 412062
% 74.92/75.36 Kept: 105579
% 74.92/75.36 Inuse: 1178
% 74.92/75.36 Deleted: 1155
% 74.92/75.36 Deletedinuse: 4
% 74.92/75.36
% 74.92/75.36 Resimplifying inuse:
% 74.92/75.36 Done
% 74.92/75.36
% 74.92/75.36 Resimplifying inuse:
% 74.92/75.36 Done
% 74.92/75.36
% 74.92/75.36
% 74.92/75.36 Intermediate Status:
% 74.92/75.36 Generated: 422076
% 74.92/75.36 Kept: 108152
% 74.92/75.36 Inuse: 1197
% 74.92/75.36 Deleted: 1155
% 74.92/75.36 Deletedinuse: 4
% 74.92/75.36
% 74.92/75.36 Resimplifying inuse:
% 74.92/75.36 Done
% 74.92/75.36
% 74.92/75.36 Resimplifying inuse:
% 74.92/75.36 Done
% 74.92/75.36
% 74.92/75.36
% 74.92/75.36 Intermediate Status:
% 74.92/75.36 Generated: 431364
% 74.92/75.36 Kept: 110165
% 74.92/75.36 Inuse: 1220
% 196.13/196.53 Deleted: 1155
% 196.13/196.53 Deletedinuse: 4
% 196.13/196.53
% 196.13/196.53 Resimplifying inuse:
% 196.13/196.53 Done
% 196.13/196.53
% 196.13/196.53
% 196.13/196.53 Intermediate Status:
% 196.13/196.53 Generated: 439526
% 196.13/196.53 Kept: 112207
% 196.13/196.53 Inuse: 1232
% 196.13/196.53 Deleted: 1155
% 196.13/196.53 Deletedinuse: 4
% 196.13/196.53
% 196.13/196.53 Resimplifying inuse:
% 196.13/196.53 Done
% 196.13/196.53
% 196.13/196.53 Resimplifying inuse:
% 196.13/196.53 Done
% 196.13/196.53
% 196.13/196.53
% 196.13/196.53 Intermediate Status:
% 196.13/196.53 Generated: 445770
% 196.13/196.53 Kept: 114237
% 196.13/196.53 Inuse: 1247
% 196.13/196.53 Deleted: 1155
% 196.13/196.53 Deletedinuse: 4
% 196.13/196.53
% 196.13/196.53 Resimplifying inuse:
% 196.13/196.53 Done
% 196.13/196.53
% 196.13/196.53 Resimplifying inuse:
% 196.13/196.53 Done
% 196.13/196.53
% 196.13/196.53
% 196.13/196.53 Intermediate Status:
% 196.13/196.53 Generated: 456033
% 196.13/196.53 Kept: 116557
% 196.13/196.53 Inuse: 1272
% 196.13/196.53 Deleted: 1155
% 196.13/196.53 Deletedinuse: 4
% 196.13/196.53
% 196.13/196.53 Resimplifying inuse:
% 196.13/196.53 Done
% 196.13/196.53
% 196.13/196.53
% 196.13/196.53 Intermediate Status:
% 196.13/196.53 Generated: 469171
% 196.13/196.53 Kept: 119086
% 196.13/196.53 Inuse: 1287
% 196.13/196.53 Deleted: 1155
% 196.13/196.53 Deletedinuse: 4
% 196.13/196.53
% 196.13/196.53 Resimplifying inuse:
% 196.13/196.53 Done
% 196.13/196.53
% 196.13/196.53 Resimplifying inuse:
% 196.13/196.53 Done
% 196.13/196.53
% 196.13/196.53
% 196.13/196.53 Intermediate Status:
% 196.13/196.53 Generated: 480353
% 196.13/196.53 Kept: 121255
% 196.13/196.53 Inuse: 1312
% 196.13/196.53 Deleted: 1155
% 196.13/196.53 Deletedinuse: 4
% 196.13/196.53
% 196.13/196.53 Resimplifying inuse:
% 196.13/196.53 Done
% 196.13/196.53
% 196.13/196.53 Resimplifying inuse:
% 196.13/196.53 Done
% 196.13/196.53
% 196.13/196.53
% 196.13/196.53 Intermediate Status:
% 196.13/196.53 Generated: 489176
% 196.13/196.53 Kept: 123914
% 196.13/196.53 Inuse: 1332
% 196.13/196.53 Deleted: 1155
% 196.13/196.53 Deletedinuse: 4
% 196.13/196.54
% 196.13/196.54 Resimplifying clauses:
% 196.13/196.54 Done
% 196.13/196.54
% 196.13/196.54 Resimplifying inuse:
% 196.13/196.54 Done
% 196.13/196.54
% 196.13/196.54 Resimplifying inuse:
% 196.13/196.54 Done
% 196.13/196.54
% 196.13/196.54
% 196.13/196.54 Intermediate Status:
% 196.13/196.54 Generated: 495456
% 196.13/196.54 Kept: 125914
% 196.13/196.54 Inuse: 1349
% 196.13/196.54 Deleted: 1536
% 196.13/196.54 Deletedinuse: 4
% 196.13/196.54
% 196.13/196.54 Resimplifying inuse:
% 196.13/196.54 Done
% 196.13/196.54
% 196.13/196.54
% 196.13/196.54 Intermediate Status:
% 196.13/196.54 Generated: 515386
% 196.13/196.54 Kept: 130873
% 196.13/196.54 Inuse: 1367
% 196.13/196.54 Deleted: 1536
% 196.13/196.54 Deletedinuse: 4
% 196.13/196.54
% 196.13/196.54 Resimplifying inuse:
% 196.13/196.54 Done
% 196.13/196.54
% 196.13/196.54 Resimplifying inuse:
% 196.13/196.54 Done
% 196.13/196.54
% 196.13/196.54
% 196.13/196.54 Intermediate Status:
% 196.13/196.54 Generated: 526886
% 196.13/196.54 Kept: 134041
% 196.13/196.54 Inuse: 1392
% 196.13/196.54 Deleted: 1536
% 196.13/196.54 Deletedinuse: 4
% 196.13/196.54
% 196.13/196.54 Resimplifying inuse:
% 196.13/196.54 Done
% 196.13/196.54
% 196.13/196.54 Resimplifying inuse:
% 196.13/196.54 Done
% 196.13/196.54
% 196.13/196.54
% 196.13/196.54 Intermediate Status:
% 196.13/196.54 Generated: 535708
% 196.13/196.54 Kept: 136719
% 196.13/196.54 Inuse: 1402
% 196.13/196.54 Deleted: 1536
% 196.13/196.54 Deletedinuse: 4
% 196.13/196.54
% 196.13/196.54 Resimplifying inuse:
% 196.13/196.54 Done
% 196.13/196.54
% 196.13/196.54 Resimplifying inuse:
% 196.13/196.54 Done
% 196.13/196.54
% 196.13/196.54
% 196.13/196.54 Intermediate Status:
% 196.13/196.54 Generated: 591238
% 196.13/196.54 Kept: 145550
% 196.13/196.54 Inuse: 1417
% 196.13/196.54 Deleted: 1536
% 196.13/196.54 Deletedinuse: 4
% 196.13/196.54
% 196.13/196.54 Resimplifying inuse:
% 196.13/196.54 Done
% 196.13/196.54
% 196.13/196.54 Resimplifying clauses:
% 196.13/196.54 Done
% 196.13/196.54
% 196.13/196.54
% 196.13/196.54 Intermediate Status:
% 196.13/196.54 Generated: 607653
% 196.13/196.54 Kept: 150460
% 196.13/196.54 Inuse: 1422
% 196.13/196.54 Deleted: 1597
% 196.13/196.54 Deletedinuse: 4
% 196.13/196.54
% 196.13/196.54 Resimplifying inuse:
% 196.13/196.54 Done
% 196.13/196.54
% 196.13/196.54
% 196.13/196.54 Intermediate Status:
% 196.13/196.54 Generated: 617210
% 196.13/196.54 Kept: 153418
% 196.13/196.54 Inuse: 1432
% 196.13/196.54 Deleted: 1597
% 196.13/196.54 Deletedinuse: 4
% 196.13/196.54
% 196.13/196.54 Resimplifying inuse:
% 196.13/196.54 Done
% 196.13/196.54
% 196.13/196.54 Resimplifying inuse:
% 196.13/196.54 Done
% 196.13/196.54
% 196.13/196.54
% 196.13/196.54 Intermediate Status:
% 196.13/196.54 Generated: 624911
% 196.13/196.54 Kept: 155462
% 196.13/196.54 Inuse: 1447
% 196.13/196.54 Deleted: 1597
% 196.13/196.54 Deletedinuse: 4
% 196.13/196.54
% 196.13/196.54 Resimplifying inuse:
% 196.13/196.54 Done
% 196.13/196.54
% 196.13/196.54 Resimplifying inuse:
% 196.13/196.54 Done
% 196.13/196.54
% 196.13/196.54
% 196.13/196.54 Intermediate Status:
% 196.13/196.54 Generated: 633801
% 196.13/196.54 Kept: 157876
% 196.13/196.54 Inuse: 1467
% 196.13/196.54 Deleted: 1597
% 196.13/196.54 Deletedinuse: 4
% 196.13/196.54
% 196.13/196.54 Resimplifying inuse:
% 196.13/196.54 Done
% 196.13/196.54
% 196.13/196.54
% 196.13/196.54 Intermediate Status:
% 196.13/196.54 Generated: 640853
% 196.13/196.54 Kept: 160084
% 196.13/196.54 Inuse: 1482
% 196.13/196.54 Deleted: 1597
% 196.13/196.54 Deletedinuse: 4
% 196.13/196.54
% 196.13/196.54 Resimplifying inuse:
% 196.13/196.54 Done
% 196.13/196.54
% 196.13/196.54
% 196.13/196.54 Intermediate Status:
% 196.13/196.54 Generated: 662749
% 196.13/196.54 Kept: 165931
% 196.13/196.54 Inuse: 1492
% 196.13/196.54 Deleted: 1598
% 196.13/196.54 Deletedinuse: 5
% 196.13/196.54
% 196.13/196.54 Resimplifying inuse:
% 196.13/196.54 Done
% 196.13/196.54
% 196.13/196.54 Resimplifying clauses:
% 196.13/196.54 Done
% 196.13/196.54
% 196.13/196.54
% 196.13/196.54 Intermediate Status:
% 196.13/196.54 Generated: 677643
% 196.13/196.54 Kept: 168442
% 196.13/196.54 Inuse: 1497
% 196.13/196.54 Deleted: 1721
% 196.13/196.54 Deletedinuse: 6
% 196.13/196.54
% 196.13/196.54 Resimplifying inuse:
% 196.13/196.54 Done
% 196.13/196.54
% 196.13/196.54 Resimplifying inuse:
% 196.13/196.54 Done
% 196.13/196.54
% 196.13/196.54
% 196.13/196.54 Intermediate Status:
% 196.13/196.54 Generated: 687755
% 196.13/196.54 Kept: 170621
% 196.13/196.54 Inuse: 1527
% 196.13/196.54 Deleted: 1721
% 196.13/196.54 Deletedinuse: 6
% 196.13/196.54
% 196.13/196.54 Resimplifying inuse:
% 196.13/196.54 Done
% 196.13/196.54
% 196.13/196.54
% 196.13/196.54 Intermediate Status:
% 196.13/196.54 Generated: 698040
% 196.13/196.54 Kept: 173068
% 196.13/196.54 Inuse: 1552
% 196.13/196.54 Deleted: 1722
% 196.13/196.54 Deletedinuse: 7
% 196.13/196.54
% 196.13/196.54 Resimplifying inuse:
% 196.13/196.54 Done
% 196.13/196.54
% 196.13/196.54 Resimplifying inuse:
% 196.13/196.54 Done
% 196.13/196.54
% 196.13/196.54
% 196.13/196.54 Intermediate Status:
% 196.13/196.54 Generated: 706596
% 196.13/196.54 Kept: 175744
% 196.13/196.54 Inuse: 1572
% 196.13/196.54 Deleted: 1728
% 196.13/196.54 Deletedinuse: 13
% 196.13/196.54
% 196.13/196.54 Resimplifying inuse:
% 196.13/196.54 Done
% 196.13/196.54
% 196.13/196.54
% 196.13/196.54 Intermediate Status:
% 196.13/196.54 Generated: 716032
% 196.13/196.54 Kept: 178619
% 196.13/196.54 Inuse: 1577
% 196.13/196.54 Deleted: 1728
% 196.13/196.54 Deletedinuse: 13
% 196.13/196.54
% 196.13/196.54 Resimplifying inuse:
% 196.13/196.54 Done
% 196.13/196.54
% 196.13/196.54 Resimplifying inuse:
% 196.13/196.54 Done
% 196.13/196.54
% 196.13/196.54
% 196.13/196.54 Intermediate Status:
% 196.13/196.54 Generated: 727478
% 196.13/196.54 Kept: 182324
% 196.13/196.54 Inuse: 1592
% 196.13/196.54 Deleted: 1728
% 196.13/196.54 Deletedinuse: 13
% 196.13/196.54
% 196.13/196.54 Resimplifying inuse:
% 196.13/196.54 Done
% 196.13/196.54
% 196.13/196.54 Resimplifying inuse:
% 196.13/196.54 Done
% 196.13/196.54
% 196.13/196.54
% 196.13/196.54 Intermediate Status:
% 196.13/196.54 Generated: 733612
% 196.13/196.54 Kept: 184425
% 196.13/196.54 Inuse: 1607
% 196.13/196.54 Deleted: 1728
% 196.13/196.54 Deletedinuse: 13
% 196.13/196.54
% 196.13/196.54 Resimplifying inuse:
% 196.13/196.54 Done
% 196.13/196.54
% 196.13/196.54
% 196.13/196.54 Intermediate Status:
% 196.13/196.54 Generated: 745608Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------