TSTP Solution File: SWV695-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV695-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n010.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 16:27:51 EDT 2022
% Result : Timeout 300.04s 300.71s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWV695-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.14 % Command : bliksem %s
% 0.14/0.35 % Computer : n010.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % DateTime : Thu Jun 16 05:15:39 EDT 2022
% 0.14/0.35 % CPUTime :
% 1.34/1.67 *** allocated 10000 integers for termspace/termends
% 1.34/1.67 *** allocated 10000 integers for clauses
% 1.34/1.67 *** allocated 10000 integers for justifications
% 1.34/1.67 *** allocated 15000 integers for termspace/termends
% 1.34/1.67 *** allocated 22500 integers for termspace/termends
% 1.34/1.67 *** allocated 33750 integers for termspace/termends
% 1.34/1.67 *** allocated 50625 integers for termspace/termends
% 1.34/1.67 Bliksem 1.12
% 1.34/1.67
% 1.34/1.67
% 1.34/1.67 Automatic Strategy Selection
% 1.34/1.67
% 1.34/1.67 Clauses:
% 1.34/1.67 [
% 1.34/1.67 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.34/1.67 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ), =( Y, Z
% 1.34/1.67 ) ],
% 1.34/1.67 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.34/1.67 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ) ) ), =( X, Z
% 1.34/1.67 ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oinverse__class_Odivide'( X ), Y ), 'c_HOL_Oone__class_Oone'( X )
% 1.34/1.67 ), Y ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.34/1.67 , ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.34/1.67 ) ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.34/1.67 , ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.34/1.67 ) ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.34/1.67 ), Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T )
% 1.34/1.67 , Z ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ),
% 1.34/1.67 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( T, X ), Y ) ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.34/1.67 ), Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T )
% 1.34/1.67 , Z ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.34/1.67 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.34/1.67 'c_HOL_Oone__class_Oone'( X ) ) ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.34/1.67 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.34/1.67 'c_HOL_Oone__class_Oone'( X ) ) ), X ), Z ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.34/1.67 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.34/1.67 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.34/1.67 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.34/1.67 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.34/1.67 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.67 X ), X ), Y ) ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.34/1.67 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.34/1.67 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.67 X ), X ), Y ) ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.34/1.67 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.34/1.67 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.34/1.67 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.34/1.67 [ =( X, hAPP( 'c_Suc', Y ) ), hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' )
% 1.34/1.67 , Y ) ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), hAPP( 'c_Suc', Y
% 1.34/1.67 ) ) ) ) ],
% 1.34/1.67 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( 'c_Suc',
% 1.34/1.67 Y ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), X ) ) ]
% 1.34/1.67 ,
% 1.34/1.67 [ ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ) ), ~(
% 1.34/1.67 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), hAPP( 'c_Suc', X )
% 1.34/1.67 ) ) ) ],
% 1.34/1.67 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), X ) ), hBOOL(
% 1.34/1.67 hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( 'c_Suc', X ) ) ) ]
% 1.34/1.67 ,
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.34/1.67 , hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ),
% 1.34/1.67 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ]
% 1.34/1.67 ,
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.34/1.67 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ),
% 1.34/1.67 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ),
% 1.34/1.67 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ) ) ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.34/1.67 ), Y ), Z ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.34/1.67 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.34/1.67 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.34/1.67 X ), Z ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ),
% 1.34/1.67 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ),
% 1.34/1.67 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ),
% 1.34/1.67 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ), Y ) ) ) ],
% 1.34/1.67 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), X ) ) ) ) ],
% 1.34/1.67 [ hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.67 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( Y, 'tc_nat' ), T ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( X
% 1.34/1.67 , 'tc_nat' ), Z ) ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.67 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X ), hAPP(
% 1.34/1.67 hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) )
% 1.34/1.67 , ~( hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ), X ),
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.67 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ),
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.34/1.67 , ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( T
% 1.34/1.67 , X ) ), Z ) ) ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z )
% 1.34/1.67 , X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), T ) ) ), ~(
% 1.34/1.67 hBOOL( hAPP( 'c_lessequals'( Z, 'tc_nat' ), T ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ), Y ) ) ) ]
% 1.34/1.67 ,
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( Y, 'tc_nat' ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.34/1.67 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), T ), Y ), X ), hAPP(
% 1.34/1.67 hAPP( 'c_Power_Opower__class_Opower'( X ), T ), Z ) ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ), T ) ) ) ]
% 1.34/1.67 ,
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( Y, 'tc_nat' ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.34/1.67 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), T ), Y ), X ), hAPP(
% 1.34/1.67 hAPP( 'c_Power_Opower__class_Opower'( X ), T ), Z ) ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ), T ) ) ) ]
% 1.34/1.67 ,
% 1.34/1.67 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.67 'tc_nat' ), 'tc_nat' ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat'
% 1.34/1.67 ), X ), Y ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.34/1.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), X ) ) ) ],
% 1.34/1.67 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.67 'tc_nat' ), 'tc_nat' ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat'
% 1.34/1.67 ), X ), Y ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.34/1.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), Y ) ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.34/1.67 ), Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T )
% 1.34/1.67 , U ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( U, X ), Z ) ) ), ~( hBOOL(
% 1.34/1.67 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), U
% 1.34/1.67 ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ), ~(
% 1.34/1.67 hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) )
% 1.34/1.67 ) ],
% 1.34/1.67 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.34/1.67 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), hAPP(
% 1.34/1.67 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ) ],
% 1.34/1.67 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.67 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X ), hAPP(
% 1.34/1.67 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL(
% 1.34/1.67 hAPP( 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.34/1.67 ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), Z ) ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.67 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ), T ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), hBOOL(
% 1.34/1.67 hAPP( 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.34/1.67 ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T
% 1.34/1.67 ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ) ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), 'c_HOL_Oone__class_Oone'(
% 1.34/1.67 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, Z ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z
% 1.34/1.67 ), X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ) ) ),
% 1.34/1.67 ~( hBOOL( hAPP( 'c_lessequals'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.34/1.67 ) ), ~( hBOOL( hAPP( 'c_lessequals'( T, X ), Y ) ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z
% 1.34/1.67 ), X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ) ) ),
% 1.34/1.67 ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z )
% 1.34/1.67 ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.34/1.67 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), =( Z, Y ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( Y, X ), Z ) ) ) ],
% 1.34/1.67 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.34/1.67 Y, X ), Z ) ) ), =( Z, Y ) ],
% 1.34/1.67 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.34/1.67 Y, X ), Z ) ) ) ],
% 1.34/1.67 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( Y, X ), Z ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.34/1.67 Y, X ), Z ) ) ],
% 1.34/1.67 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.34/1.67 Y, X ), Z ) ) ), =( Y, Z ) ],
% 1.34/1.67 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), =( Y, Z ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( Y, X ), Z ) ) ) ],
% 1.34/1.67 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), =( X, Y
% 1.34/1.67 ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ) ) ],
% 1.34/1.67 [ =( X, Y ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y )
% 1.34/1.67 ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ) ) ],
% 1.34/1.67 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), =( X, Y
% 1.34/1.67 ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ) ) ],
% 1.34/1.67 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.34/1.67 Y, X ), Z ) ) ) ],
% 1.34/1.67 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), =( Y, Z ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( Y, X ), Z ) ) ) ],
% 1.34/1.67 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.34/1.67 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, hAPP(
% 1.34/1.67 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, hAPP( 'c_Suc'
% 1.34/1.67 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.34/1.67 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.34/1.67 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X,
% 1.34/1.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 1.34/1.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 1.34/1.67 'c_Nat_Osemiring__1__class_Oof__nat'( hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ), X ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oplus__class_Oplus'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y
% 1.34/1.67 , X ) ), 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.67 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'(
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.34/1.67 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z
% 1.34/1.67 , X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ) ) ) ), hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ]
% 1.34/1.67 ,
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.67 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'(
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.34/1.67 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( T, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.34/1.67 ~( hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.67 X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ), Z ) ) ) ]
% 1.34/1.67 ,
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.67 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.34/1.67 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.34/1.67 , X ) ), Z ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.34/1.67 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), hAPP(
% 1.34/1.67 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ) ) ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.67 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'(
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) )
% 1.34/1.67 , ~( hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.34/1.67 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.34/1.67 , X ) ), T ), X ), Z ) ) ) ],
% 1.34/1.67 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP(
% 1.34/1.67 'c_Suc', X ) ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' )
% 1.34/1.67 , hAPP( 'c_Suc', X ) ), Z ) ) ), =( Y, Z ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.67 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) )
% 1.34/1.67 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.34/1.67 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.34/1.67 , X ) ), T ), X ), Z ) ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.67 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.34/1.67 hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), Z ), X ), T ) ), ~( hBOOL(
% 1.34/1.67 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z
% 1.34/1.67 ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ) ) ) ) ],
% 1.34/1.67 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), ~( hBOOL(
% 1.34/1.67 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', X ), 'tc_nat' ), Y ) ) )
% 1.34/1.67 ],
% 1.34/1.67 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( 'c_Suc',
% 1.34/1.67 Y ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) )
% 1.34/1.67 ) ],
% 1.34/1.67 [ hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.67 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( X, 'tc_nat' ), Z ) ) ) ],
% 1.34/1.67 [ hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.67 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( Y, 'tc_nat' ), Z ) ) ) ],
% 1.34/1.67 [ hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.67 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( Y, 'tc_nat' ), Z ) ) ) ],
% 1.34/1.67 [ hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.67 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( X, 'tc_nat' ), Z ) ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z
% 1.34/1.67 ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.34/1.67 , ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.34/1.67 ) ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z
% 1.34/1.67 ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.34/1.67 , ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.34/1.67 ) ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.34/1.67 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.34/1.67 X ), Y ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.34/1.67 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ) ) ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.34/1.67 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.34/1.67 X ), Z ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.34/1.67 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.34/1.67 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.34/1.67 X ), Z ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.34/1.67 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ) ) ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.34/1.67 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.34/1.67 X ), Y ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.34/1.67 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ) ) ],
% 1.34/1.67 [ ~( =( hAPP( 'c_Suc', X ), X ) ) ],
% 1.34/1.67 [ ~( =( X, hAPP( 'c_Suc', X ) ) ) ],
% 1.34/1.67 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP(
% 1.34/1.67 hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), T ) ) ) ), =( Z, T ), =( Y
% 1.34/1.67 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.34/1.67 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Lim_OisCont'( Y
% 1.34/1.67 , Z, X, X ), ~( 'c_Deriv_Oderiv'( Y, Z, T, X ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.67 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X ), hAPP(
% 1.34/1.67 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL(
% 1.34/1.67 hAPP( 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.34/1.67 ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.67 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X ),
% 1.34/1.67 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ), X
% 1.34/1.67 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X )
% 1.34/1.67 , T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ) ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.67 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ), T ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), hBOOL(
% 1.34/1.67 hAPP( 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.34/1.67 ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.67 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'(
% 1.34/1.67 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ), X
% 1.34/1.67 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ),
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ), Y ) ) ) ],
% 1.34/1.67 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.34/1.67 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ), =( Y, Z
% 1.34/1.67 ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.67 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X
% 1.34/1.67 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) )
% 1.34/1.67 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ), X ),
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.67 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.34/1.67 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ),
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.34/1.67 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( T
% 1.34/1.67 , X ) ), Z ) ) ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.67 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ), T ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ), X
% 1.34/1.67 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.34/1.67 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ), Y ) ) ), ~( hBOOL(
% 1.34/1.67 hAPP( 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.34/1.67 ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ) ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.67 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X ), hAPP(
% 1.34/1.67 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ), X
% 1.34/1.67 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.34/1.67 Z, X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), Z ) ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z
% 1.34/1.67 ), X ), T ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.34/1.67 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ),
% 1.34/1.67 X ), Y ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.34/1.67 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z
% 1.34/1.67 ), X ), T ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.34/1.67 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.34/1.67 ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X )
% 1.34/1.67 , Z ), T ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ),
% 1.34/1.67 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z
% 1.34/1.67 , X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ),
% 1.34/1.67 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.34/1.67 X ), T ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X )
% 1.34/1.67 , Z ), T ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ),
% 1.34/1.67 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( T, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.34/1.67 ~( hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.67 X ), Y ), T ), X ), Z ) ) ) ],
% 1.34/1.67 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc',
% 1.34/1.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.67 'tc_nat' ) ), 'tc_nat' ), X ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.67 'tc_nat' ) ), 'tc_nat' ), Y ) ) ) ],
% 1.34/1.67 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( 'c_Suc',
% 1.34/1.67 X ) ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP(
% 1.34/1.67 'c_Suc', Y ) ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 1.34/1.67 'c_Nat_Osemiring__1__class_Oof__nat'( hAPP( 'c_Suc', Y ), X ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.34/1.67 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ) ) ) ],
% 1.34/1.67 [ ~( =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP(
% 1.34/1.67 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( Y, hAPP(
% 1.34/1.67 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.34/1.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.34/1.67 [ ~( =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP(
% 1.34/1.67 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( X,
% 1.34/1.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, hAPP( 'c_Suc',
% 1.34/1.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z )
% 1.34/1.67 , X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), T ) ) ), ~(
% 1.34/1.67 hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), X ), Y ) ) )
% 1.34/1.67 , ~( hBOOL( hAPP( 'c_lessequals'( Z, 'tc_nat' ), T ) ) ) ],
% 1.34/1.67 [ =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.67 'tc_nat' ) ), hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) )
% 1.34/1.67 ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.67 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.34/1.67 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ), T ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ), X
% 1.34/1.67 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.34/1.67 ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ), Y ) ) ) ]
% 1.34/1.67 ,
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.67 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.34/1.67 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ), T ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ), X
% 1.34/1.67 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.34/1.67 , T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ), Y ) ) ), hBOOL(
% 1.34/1.67 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.67 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X
% 1.34/1.67 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ),
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ), X
% 1.34/1.67 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( Z, X ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.67 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X
% 1.34/1.67 ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ), X
% 1.34/1.67 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( Z, X ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ) ), hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.67 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.34/1.67 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ), X
% 1.34/1.67 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.34/1.67 ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ), Y ) ) ) ]
% 1.34/1.67 ,
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.67 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.34/1.67 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ), T ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) )
% 1.34/1.67 , hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ),
% 1.34/1.67 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.67 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X
% 1.34/1.67 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ), X
% 1.34/1.67 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oinverse__class_Odivide'( X ), T ),
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ) ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.67 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X
% 1.34/1.67 ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.34/1.67 , hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( T, X ), X ),
% 1.34/1.67 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ],
% 1.34/1.67 [ hBOOL( hAPP( 'c_lessequals'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.67 'tc_nat' ) ), 'tc_nat' ), X ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP(
% 1.34/1.67 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), X ) ) ) ) ],
% 1.34/1.67 [ hBOOL( hAPP( 'c_lessequals'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.67 'tc_nat' ) ), 'tc_nat' ), X ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP(
% 1.34/1.67 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.34/1.67 ), Y ), hAPP( 'c_Suc', Z ) ), X ), 'c_HOL_Oone__class_Oone'( X ) ) ),
% 1.34/1.67 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.34/1.67 'c_HOL_Oone__class_Oone'( X ) ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) )
% 1.34/1.67 ],
% 1.34/1.67 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.34/1.67 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP(
% 1.34/1.67 'c_Suc', X ) ) ) ],
% 1.34/1.67 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( 'c_Suc',
% 1.34/1.67 Y ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ) ) ],
% 1.34/1.67 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( 'c_Suc', Y ) ) ) ) ],
% 1.34/1.67 [ ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), X ) ) ), hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( 'c_Suc', X ) ) ) ],
% 1.34/1.67 [ hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.34/1.67 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.34/1.67 'tc_nat' ), Z ), T ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, 'tc_nat' ),
% 1.34/1.67 T ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Z ) ) ) ],
% 1.34/1.67 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), Z ) ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), T ), Y ) ), U ) ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), T ) ), Y ) ), Z ) ), U ) )
% 1.34/1.67 , ~( hBOOL( hAPP( 'c_lessequals'( T, 'tc_nat' ), X ) ) ) ],
% 1.34/1.67 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), Z ) ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), T ), Y ) ), U ) ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ), X ) ), Y ) ), U ) ) ), ~(
% 1.34/1.67 hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), T ) ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.34/1.67 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.34/1.67 ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.34/1.67 ), 'c_HOL_Oone__class_Oone'( X ) ), Y ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.67 X ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.34/1.67 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.34/1.67 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 1.34/1.67 'c_Series_Osummable'( Y, X ), ~( 'c_Series_Osums'( Y, Z, X ) ) ],
% 1.34/1.67 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 1.34/1.67 'c_Series_Osummable'( Y, X ), ~( 'c_Series_Osums'( Y, Z, X ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.67 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ),
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.34/1.67 , ~( hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.34/1.67 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( T
% 1.34/1.67 , X ) ), Z ), X ), Y ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), hAPP(
% 1.34/1.67 hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ) ) ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), X ), hAPP( hAPP(
% 1.34/1.67 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), X ), Y ) ) ) ],
% 1.34/1.67 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( 'c_Suc',
% 1.34/1.67 X ) ), Y ), hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.34/1.67 'tc_nat' ), X ), Y ) ) ) ],
% 1.34/1.67 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP(
% 1.34/1.67 'c_Suc', Y ) ), hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.34/1.67 'tc_nat' ), X ), Y ) ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.67 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.34/1.67 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ), T ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ), X
% 1.34/1.67 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ),
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ), Y ) ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.67 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ), T ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ), X
% 1.34/1.67 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.34/1.67 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ), Y ) ) ), hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.67 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X ), hAPP(
% 1.34/1.67 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ),
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ), X
% 1.34/1.67 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( Z, X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X )
% 1.34/1.67 , Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.67 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X ), hAPP(
% 1.34/1.67 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ), X
% 1.34/1.67 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.34/1.67 Z, X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ) ), hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.34/1.67 ), Y ), Z ), X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.34/1.67 T ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.34/1.67 'c_HOL_Oone__class_Oone'( X ) ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) )
% 1.34/1.67 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, 'tc_nat' ), Z ) ) ) ]
% 1.34/1.67 ,
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z )
% 1.34/1.67 , X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), T ) ) ), ~(
% 1.34/1.67 hBOOL( hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ) )
% 1.34/1.67 , ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.34/1.67 ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( T, 'tc_nat' ), Z ) ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.67 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.34/1.67 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ),
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.34/1.67 , 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ), Y ) ) ), hBOOL(
% 1.34/1.67 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z
% 1.34/1.67 ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.67 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.34/1.67 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ),
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.34/1.67 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( T
% 1.34/1.67 , X ) ), Z ) ) ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.67 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.34/1.67 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ), T ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) )
% 1.34/1.67 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.34/1.67 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ), Y ) ) ), hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.67 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X
% 1.34/1.67 ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.34/1.67 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ) ), hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.67 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.34/1.67 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.34/1.67 Y, X ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ),
% 1.34/1.67 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ),
% 1.34/1.67 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ),
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.67 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.34/1.67 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ),
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.34/1.67 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.34/1.67 X ), Z ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.67 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.34/1.67 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ),
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.34/1.67 , 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ), Y ) ) ), ~(
% 1.34/1.67 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( T
% 1.34/1.67 , X ) ), Z ) ) ) ) ],
% 1.34/1.67 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.34/1.67 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ) ) ), ~(
% 1.34/1.67 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, 'tc_nat' ), Y ) ) ), hBOOL(
% 1.34/1.67 hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), T ) ) ],
% 1.34/1.67 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), hAPP(
% 1.34/1.67 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), ~( hBOOL(
% 1.34/1.67 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y
% 1.34/1.67 ), Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ), ~( hBOOL(
% 1.34/1.67 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z
% 1.34/1.67 ), Y ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL(
% 1.34/1.67 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y
% 1.34/1.67 ), Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL(
% 1.34/1.67 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z
% 1.34/1.67 ), Y ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.34/1.67 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Lim_OisCont'(
% 1.34/1.67 hAPP( 'c_COMBC'( 'c_HOL_Oinverse__class_Odivide'( X ), X, X, X ), Y ), Z
% 1.34/1.67 , X, X ) ],
% 1.34/1.67 [ ~( =( hAPP( 'c_Suc', X ), hAPP( 'c_Suc', Y ) ) ), =( X, Y ) ],
% 1.34/1.67 [ ~( =( hAPP( 'c_Suc', X ), hAPP( 'c_Suc', Y ) ) ), =( X, Y ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.67 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), X
% 1.34/1.67 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( Z, X ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.34/1.67 , X ) ), T ) ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.34/1.67 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.67 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), X
% 1.34/1.67 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( T, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.34/1.67 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.34/1.67 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.34/1.67 , X ) ), T ), X ), Z ) ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.67 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.34/1.67 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.34/1.67 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.34/1.67 X ), Z ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ) ) ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.67 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), X
% 1.34/1.67 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( T, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.34/1.67 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.34/1.67 X ), T ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.67 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), X
% 1.34/1.67 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( Z, X ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.34/1.67 , X ) ), T ) ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.34/1.67 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.34/1.67 , X ) ), T ), X ), Z ) ) ) ],
% 1.34/1.67 [ ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ) ), =( hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), X ) ), Z ) ), T ) ), hAPP(
% 1.34/1.67 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ), T ) ) ],
% 1.34/1.67 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.67 'tc_nat' ), 'tc_nat' ), hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.67 'tc_nat' ) ) ) ) ],
% 1.34/1.67 [ ~( =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP(
% 1.34/1.67 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( X,
% 1.34/1.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 1.34/1.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.34/1.67 [ ~( =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP(
% 1.34/1.67 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( Y, hAPP(
% 1.34/1.67 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, hAPP( 'c_Suc'
% 1.34/1.67 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.34/1.67 [ hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.34/1.67 'tc_nat' ), X ), Y ), 'tc_nat' ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.34/1.67 X, 'tc_nat' ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y
% 1.34/1.67 ) ) ) ) ],
% 1.34/1.67 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X )
% 1.34/1.67 , Z ), 'tc_nat' ), Y ) ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.34/1.67 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.34/1.67 [ hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.34/1.67 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP(
% 1.34/1.67 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Z ) ), T ),
% 1.34/1.67 'tc_nat' ), U ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), T ), 'tc_nat' ),
% 1.34/1.67 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ), U ) ) ) ), ~( hBOOL(
% 1.34/1.67 hAPP( 'c_lessequals'( Y, 'tc_nat' ), X ) ) ) ],
% 1.34/1.67 [ hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.34/1.67 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y
% 1.34/1.67 ) ), Z ), 'tc_nat' ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.34/1.67 , hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), T ), Y ) ), U ) )
% 1.34/1.67 ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), T ) ), Y ) ), Z ),
% 1.34/1.67 'tc_nat' ), U ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( T, 'tc_nat' ), X ) )
% 1.34/1.67 ) ],
% 1.34/1.67 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ), T ) ), U ) ) ), ~(
% 1.34/1.67 hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.34/1.67 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T
% 1.34/1.67 ) ), X ), 'tc_nat' ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.34/1.67 , hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), T ) ), U ) )
% 1.34/1.67 ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, 'tc_nat' ), Y ) ) ) ],
% 1.34/1.67 [ hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.34/1.67 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y
% 1.34/1.67 ) ), Z ), 'tc_nat' ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.34/1.67 , hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), T ), Y ) ), U ) )
% 1.34/1.67 ), ~( hBOOL( hAPP( 'c_lessequals'( Z, 'tc_nat' ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ), X ) ), Y ) ), U ) ) ) ),
% 1.34/1.67 ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), T ) ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 1.34/1.67 'c_Nat_Osemiring__1__class_Oof__nat'( hAPP( hAPP(
% 1.34/1.67 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ), X ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Otimes__class_Otimes'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'(
% 1.34/1.67 Y, X ) ), 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ) ],
% 1.34/1.67 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), T ) ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ) ) ), =( Y, T ), =( X
% 1.34/1.67 , Z ) ],
% 1.34/1.67 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), T ) ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ) ) ), =( Y, T ), =( X
% 1.34/1.67 , Z ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.67 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X
% 1.34/1.67 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( T, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.34/1.67 , hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.34/1.67 , X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ) ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.67 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( T, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.34/1.67 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.34/1.67 , X ) ), T ) ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.34/1.67 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ],
% 1.34/1.67 [ =( X, Y ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ),
% 1.34/1.67 hAPP( 'c_Suc', Y ) ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X,
% 1.34/1.67 'tc_nat' ), Y ) ) ],
% 1.34/1.67 [ =( X, Y ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ),
% 1.34/1.67 hAPP( 'c_Suc', X ) ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y,
% 1.34/1.67 'tc_nat' ), X ) ) ],
% 1.34/1.67 [ =( X, Y ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y )
% 1.34/1.67 ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP(
% 1.34/1.67 'c_Suc', Y ) ) ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.67 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( T, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.34/1.67 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.34/1.67 , X ) ), T ) ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.34/1.67 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.34/1.67 , X ) ), T ), X ), Z ) ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.67 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'(
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( T, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.34/1.67 , ~( hBOOL( hAPP( 'c_lessequals'( Z, X ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.34/1.67 , X ) ), T ) ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.34/1.67 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.67 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X ), hAPP(
% 1.34/1.67 hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( T, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.34/1.67 , hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.34/1.67 , X ), T ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ) ) ) ],
% 1.34/1.67 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc'
% 1.34/1.67 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), hAPP( 'c_Suc',
% 1.34/1.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), hAPP( 'c_Suc',
% 1.34/1.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.34/1.67 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 1.34/1.67 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), hAPP(
% 1.34/1.67 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ), Y ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( Z, 'tc_nat' ), Y ) ) ) ],
% 1.34/1.67 [ =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( 'c_Suc',
% 1.34/1.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.67 'tc_nat' ) ) ) ],
% 1.34/1.67 [ ~( 'class_Orderings_Oorder'( X ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( Y, X ), Y ) ) ) ],
% 1.34/1.67 [ ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), X ) ) ) ]
% 1.34/1.67 ,
% 1.34/1.67 [ ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), X ) ) ) ]
% 1.34/1.67 ,
% 1.34/1.67 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( Y, X ), Y ) ) ) ],
% 1.34/1.67 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( Y, X ), Y ) ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.67 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'(
% 1.34/1.67 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.34/1.67 Y, X ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ),
% 1.34/1.67 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ),
% 1.34/1.67 ~( hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ),
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.67 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ),
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.34/1.67 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.34/1.67 X ), Z ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.67 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ),
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ), Y ) ) ), ~( hBOOL(
% 1.34/1.67 hAPP( 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.34/1.67 ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ) ) ) ) ],
% 1.34/1.67 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ),
% 1.34/1.67 'c_Deriv_Odifferentiable'( Y, Z, X ), ~( 'c_Deriv_Oderiv'( Y, Z, T, X ) )
% 1.34/1.67 ],
% 1.34/1.67 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ),
% 1.34/1.67 'c_Deriv_Odifferentiable'( Y, Z, X ), ~( 'c_Deriv_Oderiv'( Y, Z, T, X ) )
% 1.34/1.67 ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.34/1.67 X ), Y ), 'c_HOL_Oone__class_Oone'( X ) ) ) ) ],
% 1.34/1.67 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), ~( hBOOL(
% 1.34/1.67 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.67 'tc_nat' ), Z ), X ), 'tc_nat' ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ) ) ) ],
% 1.34/1.67 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), ~( hBOOL(
% 1.34/1.67 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.67 'tc_nat' ), X ), Z ), 'tc_nat' ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ) ) ) ],
% 1.34/1.67 [ hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.34/1.67 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.34/1.67 'tc_nat' ), Z ), Y ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ),
% 1.34/1.67 Z ) ) ) ],
% 1.34/1.67 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ),
% 1.34/1.67 X ), 'tc_nat' ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z )
% 1.34/1.67 , Y ) ) ) ) ],
% 1.34/1.67 [ hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.34/1.67 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.34/1.67 'tc_nat' ), X ), Z ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, 'tc_nat' ),
% 1.34/1.67 Z ) ) ) ],
% 1.34/1.67 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( 'c_Suc',
% 1.34/1.67 X ) ) ) ],
% 1.34/1.67 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( 'c_Suc',
% 1.34/1.67 X ) ) ) ],
% 1.34/1.67 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', X ), 'tc_nat' )
% 1.34/1.67 , Y ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, 'tc_nat' ), Y ) )
% 1.34/1.67 ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Z ) ) ) ]
% 1.34/1.67 ,
% 1.34/1.67 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), hAPP(
% 1.34/1.67 'c_Suc', hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) )
% 1.34/1.67 ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ), hAPP( 'c_Suc', Y ) )
% 1.34/1.67 ), ~( hBOOL( hAPP( 'c_lessequals'( Z, 'tc_nat' ), Y ) ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ), =( Z, Y ) ],
% 1.34/1.67 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ), hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ],
% 1.34/1.67 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ) ],
% 1.34/1.67 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), =( Z, Y ), hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ) ],
% 1.34/1.67 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( Y, X ), Z ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, X ),
% 1.34/1.67 Y ) ) ) ],
% 1.34/1.67 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 1.34/1.67 'class_RealVector_Oreal__normed__algebra__1'( Y ) ), =( Z, T ), ~(
% 1.34/1.67 'c_Lim_OLIM'( U, W, T, Y, X ) ), ~( 'c_Lim_OLIM'( U, W, Z, Y, X ) ) ]
% 1.34/1.67 ,
% 1.34/1.67 [ =( X, Y ), ~( hBOOL( hAPP( 'c_lessequals'( Y, 'tc_nat' ), X ) ) ), ~(
% 1.34/1.67 hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ) ) ],
% 1.34/1.67 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), hBOOL(
% 1.34/1.67 hAPP( 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), X ) ), =( Y, X ) ],
% 1.34/1.67 [ ~( 'class_RealVector_Ometric__space'( X ) ), =( Y, Z ), ~(
% 1.34/1.67 'c_SEQ_OLIMSEQ'( T, Z, X ) ), ~( 'c_SEQ_OLIMSEQ'( T, Y, X ) ) ],
% 1.34/1.67 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( Y, Z ), ~(
% 1.34/1.67 'c_Deriv_Oderiv'( T, U, Z, X ) ), ~( 'c_Deriv_Oderiv'( T, U, Y, X ) ) ]
% 1.34/1.67 ,
% 1.34/1.67 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), Z ) ), =( Z, Y ), hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( Z, 'tc_nat' ), Y ) ) ],
% 1.34/1.67 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), hBOOL(
% 1.34/1.67 hAPP( 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), X ) ), =( Y, X ) ],
% 1.34/1.67 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( Z, X ), Y ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ),
% 1.34/1.67 Z ) ) ) ],
% 1.34/1.67 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ), =( Z, Y ) ],
% 1.34/1.67 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( Z, X ), Y ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ),
% 1.34/1.67 Z ) ) ) ],
% 1.34/1.67 [ =( 'c_HOL_Oord__class_Oless'( 'v_n', 'tc_nat' ), 'c_lessequals'( hAPP(
% 1.34/1.67 'c_Suc', 'v_n' ), 'tc_nat' ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ),
% 1.34/1.67 'c_HOL_Oone__class_Oone'( X ) ), Y ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.34/1.67 ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ),
% 1.34/1.67 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL(
% 1.34/1.67 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ),
% 1.34/1.67 'c_HOL_Oone__class_Oone'( X ) ), Y ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.34/1.67 ) ) ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.67 'class_Int_Onumber'( X ) ), ~( =( hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oinverse__class_Odivide'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.34/1.67 ) ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =(
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.34/1.67 ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.67 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.34/1.67 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oinverse__class_Odivide'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X
% 1.34/1.67 ) ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ],
% 1.34/1.67 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( Z, 'tc_nat' ), Y ) ) ) ],
% 1.34/1.67 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Z ) ), Y ) ), ~( hBOOL(
% 1.34/1.67 hAPP( 'c_lessequals'( Z, 'tc_nat' ), X ) ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X )
% 1.34/1.67 , Z ), T ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ),
% 1.34/1.67 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z
% 1.34/1.67 , X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ), ~(
% 1.34/1.67 hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.34/1.67 ), Y ), T ), X ), Z ) ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z
% 1.34/1.67 ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ),
% 1.34/1.67 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.34/1.67 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ), Y ) ) ),
% 1.34/1.67 ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ) ) ],
% 1.34/1.67 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), hAPP(
% 1.34/1.67 'c_Suc', Y ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 1.34/1.67 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.34/1.67 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc'
% 1.34/1.67 , X ) ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ),
% 1.34/1.67 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.34/1.67 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.67 'tc_nat' ), 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.67 'tc_nat' ), X ), Y ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.34/1.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), Y ) ) ), ~( hBOOL(
% 1.34/1.67 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.34/1.67 'tc_nat' ), X ) ) ) ],
% 1.34/1.67 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), T ), Y ) ), U ) ) ), ~( hBOOL(
% 1.34/1.67 hAPP( 'c_lessequals'( X, 'tc_nat' ), T ) ) ), =( Z, hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ), X ) ), Y ) ), U ) ) ],
% 1.34/1.67 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), T ), Y ) ), U ) ) ), ~( hBOOL(
% 1.34/1.67 hAPP( 'c_lessequals'( T, 'tc_nat' ), X ) ) ), =( hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), T ) ), Y ) ), Z ), U ) ]
% 1.34/1.67 ,
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.67 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.34/1.67 X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.34/1.67 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), =(
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.34/1.67 ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.67 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.34/1.67 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oinverse__class_Odivide'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X
% 1.34/1.67 ) ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.67 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.34/1.67 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.67 X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ],
% 1.34/1.67 [ ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ) ), =( hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), X ) ), Z ) ), T ) ) ) ]
% 1.34/1.67 ,
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X )
% 1.34/1.67 , Z ), T ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.34/1.67 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) )
% 1.34/1.67 ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z
% 1.34/1.67 ), X ), T ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.34/1.67 ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X )
% 1.34/1.67 , Z ), T ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.34/1.67 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ),
% 1.34/1.67 X ), Z ) ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.34/1.67 X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.34/1.67 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X )
% 1.34/1.67 , T ), Z ) ) ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z
% 1.34/1.67 ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.34/1.67 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T
% 1.34/1.67 ), Z ) ) ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z
% 1.34/1.67 ), T ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.34/1.67 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T
% 1.34/1.67 ), X ), Z ) ) ) ],
% 1.34/1.67 [ ~( 'class_Nat_Osemiring__char__0'( X ) ), ~( =(
% 1.34/1.67 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 1.34/1.67 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ), =( Y, Z ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.67 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'(
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( T, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.34/1.67 , ~( hBOOL( hAPP( 'c_lessequals'( Z, X ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.34/1.67 , X ) ), T ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.34/1.67 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.34/1.67 , X ) ), T ), X ), Z ) ) ) ],
% 1.34/1.67 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.34/1.67 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X, hAPP(
% 1.34/1.67 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.34/1.67 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.34/1.67 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, hAPP(
% 1.34/1.67 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.34/1.67 ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.34/1.67 X ), Y ) ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), ~( hBOOL(
% 1.34/1.67 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.34/1.67 ) ) ) ) ],
% 1.34/1.67 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( 'c_Suc'
% 1.34/1.67 , X ) ), Y ), hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.34/1.67 'tc_nat' ), X ), Y ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, 'tc_nat' ),
% 1.34/1.67 X ) ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z
% 1.34/1.67 ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL(
% 1.34/1.67 hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ]
% 1.34/1.67 ,
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z
% 1.34/1.67 ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL(
% 1.34/1.67 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ]
% 1.34/1.67 ,
% 1.34/1.67 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ) ) ],
% 1.34/1.67 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Z ) ) ) ],
% 1.34/1.67 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), ~( hBOOL(
% 1.34/1.67 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.34/1.67 'tc_nat' ), X ), Z ), 'tc_nat' ), Y ) ) ) ],
% 1.34/1.67 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ) ) ],
% 1.34/1.67 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Z ) ) ) ],
% 1.34/1.67 [ hBOOL( hAPP( 'c_lessequals'( hAPP( 'c_Suc', X ), 'tc_nat' ), Y ) ),
% 1.34/1.67 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ) ) ],
% 1.34/1.67 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), ~( hBOOL(
% 1.34/1.67 hAPP( 'c_lessequals'( hAPP( 'c_Suc', X ), 'tc_nat' ), Y ) ) ) ],
% 1.34/1.67 [ hBOOL( hAPP( 'c_lessequals'( hAPP( 'c_Suc', X ), 'tc_nat' ), Y ) ),
% 1.34/1.67 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ) ) ],
% 1.34/1.67 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), ~( hBOOL(
% 1.34/1.67 hAPP( 'c_lessequals'( hAPP( 'c_Suc', X ), 'tc_nat' ), Y ) ) ) ],
% 1.34/1.67 [ hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.34/1.67 'tc_nat' ), X ), Y ), 'tc_nat' ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.34/1.67 X, 'tc_nat' ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z )
% 1.34/1.67 , Y ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, 'tc_nat' ), Z ) ) ) ]
% 1.34/1.67 ,
% 1.34/1.67 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 1.34/1.67 Z ), 'tc_nat' ), Y ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, 'tc_nat' ),
% 1.34/1.67 Y ) ) ) ],
% 1.34/1.67 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( 'c_Suc',
% 1.34/1.67 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ) ) ],
% 1.34/1.67 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( 'c_Suc',
% 1.34/1.67 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ) ) ) ) ],
% 1.34/1.67 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( 'c_Suc',
% 1.34/1.67 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ) ) ],
% 1.34/1.67 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), Z ), 'tc_nat' ),
% 1.34/1.67 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), T ), Y ) ), U ) ) ), ~( hBOOL(
% 1.34/1.67 hAPP( 'c_HOL_Oord__class_Oless'( Z, 'tc_nat' ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ), X ) ), Y ) ), U ) ) ) ),
% 1.34/1.67 ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), T ) ) ) ],
% 1.34/1.67 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ), T ) ), U ) ) ), ~(
% 1.34/1.67 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ), X ), 'tc_nat' ),
% 1.34/1.67 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), T ) ), U ) ) ) ), ~( hBOOL(
% 1.34/1.67 hAPP( 'c_lessequals'( Z, 'tc_nat' ), Y ) ) ) ],
% 1.34/1.67 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), Z ), 'tc_nat' ),
% 1.34/1.67 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), T ), Y ) ), U ) ) ), ~( hBOOL(
% 1.34/1.67 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.34/1.67 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP(
% 1.34/1.67 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), T ) ), Y ) ), Z ),
% 1.34/1.67 'tc_nat' ), U ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( T, 'tc_nat' ), X ) )
% 1.34/1.67 ) ],
% 1.34/1.67 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Z ) ), T ),
% 1.34/1.67 'tc_nat' ), U ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), T ), 'tc_nat' ),
% 1.34/1.67 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ), U ) ) ) ), ~( hBOOL(
% 1.34/1.67 hAPP( 'c_lessequals'( Y, 'tc_nat' ), X ) ) ) ],
% 1.34/1.67 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_SEQ_OCauchy'( Y, X ),
% 1.34/1.67 ~( 'c_SEQ_OLIMSEQ'( Y, Z, X ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.67 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.34/1.67 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ),
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.34/1.67 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.34/1.67 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( T
% 1.34/1.67 , X ) ), Z ), X ), Y ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.34/1.67 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.67 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.34/1.67 hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), Z ), X ), T ) ), ~( hBOOL(
% 1.34/1.67 hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.34/1.67 ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.34/1.67 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.34/1.67 ), T ), Z ), X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ) ]
% 1.34/1.67 ,
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.67 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X
% 1.34/1.67 ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.34/1.67 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.34/1.67 , Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), Z ) ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.67 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.34/1.67 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ), T ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) )
% 1.34/1.67 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.34/1.67 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ), Y ) ) ), ~( hBOOL(
% 1.34/1.67 hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ) ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.67 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.34/1.67 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ),
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.34/1.67 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.34/1.67 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( T
% 1.34/1.67 , X ) ), Z ), X ), Y ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y
% 1.34/1.67 , X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ) ) ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z
% 1.34/1.67 ), X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ) ),
% 1.34/1.67 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.34/1.67 ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ),
% 1.34/1.67 ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.34/1.67 ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, X ), T ) ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z
% 1.34/1.67 ), X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ) ),
% 1.34/1.67 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.34/1.67 ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ),
% 1.34/1.67 ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 1.34/1.67 ) ), ~( hBOOL( hAPP( 'c_lessequals'( T, X ), Z ) ) ) ],
% 1.34/1.67 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( 'c_Suc'
% 1.34/1.67 , hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ) ), Z )
% 1.34/1.67 , hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( 'c_Suc', X
% 1.34/1.67 ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ),
% 1.34/1.67 ~( hBOOL( hAPP( 'c_lessequals'( Y, 'tc_nat' ), X ) ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.34/1.67 ), Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T )
% 1.34/1.67 , U ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( U, X ), Z ) ) ),
% 1.34/1.67 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.34/1.67 ), X ), U ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), T ) ) ), ~(
% 1.34/1.67 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.34/1.67 X ), Y ) ) ) ],
% 1.34/1.67 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( 'c_Suc',
% 1.34/1.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.67 'tc_nat' ) ), hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ]
% 1.34/1.67 ,
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.34/1.67 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.34/1.67 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.34/1.67 ) ), Z ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ),
% 1.34/1.67 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( Y, 'tc_nat' ), Z ) ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( Y, 'tc_nat' ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.34/1.67 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ),
% 1.34/1.67 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ) ) ],
% 1.34/1.67 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 1.34/1.67 'class_RealVector_Ometric__space'( Y ) ), ~(
% 1.34/1.67 'class_RealVector_Ometric__space'( Z ) ), 'c_Lim_OLIM'( hAPP( hAPP(
% 1.34/1.67 'c_COMBB'( X, Y, Z ), T ), U ), W, hAPP( T, V0 ), Z, Y ), ~( 'c_Lim_OLIM'(
% 1.34/1.67 U, W, V0, Z, X ) ), ~( 'c_Lim_OisCont'( T, V0, X, Y ) ) ],
% 1.34/1.67 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.34/1.67 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.34/1.67 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( 'c_Suc',
% 1.34/1.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.67 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X
% 1.34/1.67 ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.34/1.67 , hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( T, X ), X ),
% 1.34/1.67 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.34/1.67 , Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), Z ) ) ) ],
% 1.34/1.67 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP( 'c_lessequals'( Z
% 1.34/1.67 , X ), Y ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), Z ) ) ) ],
% 1.34/1.67 [ ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ) ) ) ), =( hAPP( hAPP(
% 1.34/1.67 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ) ), X ), Y ) ],
% 1.34/1.67 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.34/1.67 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.34/1.67 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ) ) ) ],
% 1.34/1.67 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.34/1.67 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.34/1.67 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), T ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Z ) ) ) ],
% 1.34/1.67 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X
% 1.34/1.67 ), Z ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ) ]
% 1.34/1.67 ,
% 1.34/1.67 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ) ) ],
% 1.34/1.67 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y
% 1.34/1.67 , X ), Z ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) )
% 1.34/1.67 ],
% 1.34/1.67 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ) ) ],
% 1.34/1.67 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oinverse__class_Odivide'( X ), 'c_Series_Osuminf'( Y, X ) ), Z ),
% 1.34/1.67 'c_Series_Osuminf'( hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'(
% 1.34/1.67 X, X ), 'tc_nat' ), 'c_HOL_Oinverse__class_Odivide'( X ) ), Y ), 'tc_nat'
% 1.34/1.67 , X, X ), Z ), X ) ), ~( 'c_Series_Osummable'( Y, X ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL(
% 1.34/1.67 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ]
% 1.34/1.67 ,
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL(
% 1.34/1.67 hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ]
% 1.34/1.67 ,
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z
% 1.34/1.67 ), X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ) ) ),
% 1.34/1.67 ~( hBOOL( hAPP( 'c_lessequals'( U, X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), U ) ) )
% 1.34/1.67 , ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), T ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ), hAPP( hAPP(
% 1.34/1.67 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ) ) ), ~(
% 1.34/1.67 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X
% 1.34/1.67 ), Y ) ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), Z ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 1.34/1.67 X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 1.34/1.67 X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), Z ) ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.34/1.67 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 1.34/1.67 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'( Y
% 1.34/1.67 , 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_Series_Osummable'( Y, X ) )
% 1.34/1.67 ],
% 1.34/1.67 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Y ), X ), ~( hBOOL(
% 1.34/1.67 hAPP( 'c_lessequals'( Y, 'tc_nat' ), X ) ) ) ],
% 1.34/1.67 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), X ) ), Y ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( X, 'tc_nat' ), Y ) ) ) ],
% 1.34/1.67 [ ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ) ), =( Y, hAPP(
% 1.34/1.67 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), X ) ), X ) ) ],
% 1.34/1.67 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( Y,
% 1.34/1.67 'c_Series_Osuminf'( Z, X ) ), ~( 'c_Series_Osums'( Z, Y, X ) ) ],
% 1.34/1.67 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.34/1.67 'c_Series_Osuminf'( Y, X ), Z ), ~( 'c_Series_Osums'( Y, Z, X ) ) ],
% 1.34/1.67 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ), Y ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( Y, 'tc_nat' ), X ) ) ) ],
% 1.34/1.67 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Z ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( Z, 'tc_nat' ), Y ) ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.34/1.67 'tc_nat' ), Y ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.34/1.67 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.34/1.67 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ) ) ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.34/1.67 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.34/1.67 'tc_nat' ), Y ) ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( hAPP( hAPP(
% 1.34/1.67 'c_Power_Opower__class_Opower'( X ), Y ), Z ), hAPP( hAPP(
% 1.34/1.67 'c_Power_Opower__class_Opower'( X ), Y ), T ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ), Y ) ) ),
% 1.34/1.67 =( Z, T ) ],
% 1.34/1.67 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ),
% 1.34/1.67 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ),
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ) ],
% 1.34/1.67 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ),
% 1.34/1.67 hBOOL( hAPP( 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.34/1.67 X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ), X
% 1.34/1.67 ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.67 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.34/1.67 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.67 X ) ) ],
% 1.34/1.67 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), hAPP( 'c_Suc', Y ) ) ),
% 1.34/1.67 ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ) ) ],
% 1.34/1.67 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( hAPP( 'c_Suc', X ), 'tc_nat' ), Y ) ) ) ],
% 1.34/1.67 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.67 'tc_nat' ) ), 'tc_nat' ), Y ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.67 'tc_nat' ) ), 'tc_nat' ), X ) ) ) ],
% 1.34/1.67 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), X ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.67 'tc_nat' ) ), 'tc_nat' ), Y ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.67 'tc_nat' ) ), 'tc_nat' ), X ) ) ) ],
% 1.34/1.67 [ ~( hBOOL( hAPP( 'c_lessequals'( hAPP( 'c_Suc', X ), 'tc_nat' ), X ) )
% 1.34/1.67 ) ],
% 1.34/1.67 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.34/1.67 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP(
% 1.34/1.67 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), Y ) ) ), ~( hBOOL(
% 1.34/1.67 hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Z ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( Y, 'tc_nat' ), Z ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y
% 1.34/1.67 , 'tc_nat' ), X ) ) ) ],
% 1.34/1.67 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), ~( hBOOL(
% 1.34/1.67 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.34/1.67 'tc_nat' ), X ), Z ), 'tc_nat' ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( Z, 'tc_nat' ), Y ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z
% 1.34/1.67 , 'tc_nat' ), X ) ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ),
% 1.34/1.67 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.34/1.67 ), X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ),
% 1.34/1.67 'c_HOL_Oone__class_Oone'( X ) ), Y ) ) ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.34/1.67 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X )
% 1.34/1.67 ), Y ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.34/1.67 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), Z ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.34/1.67 ), T ), Y ), X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), T ),
% 1.34/1.67 Z ) ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.34/1.67 'c_HOL_Oone__class_Oone'( X ), X ), T ) ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.34/1.67 ), Y ), Z ), X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.34/1.67 T ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.34/1.67 'c_HOL_Oone__class_Oone'( X ), X ), Y ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( Z, 'tc_nat' ), T ) ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), Z ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.34/1.67 ), T ), Y ), X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), T ),
% 1.34/1.67 Z ) ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.34/1.67 'c_HOL_Oone__class_Oone'( X ), X ), T ) ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.34/1.67 ), Y ), Z ), X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.34/1.67 T ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, 'tc_nat' ), T ) )
% 1.34/1.67 ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 1.34/1.67 X ), X ), Y ) ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.67 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'(
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.34/1.67 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z
% 1.34/1.67 , X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ) ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ), Z ) ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.67 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'(
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.34/1.67 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( T, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.34/1.67 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.34/1.67 X ), T ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.67 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'(
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.34/1.67 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.34/1.67 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.34/1.67 X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ) ) ) ) ],
% 1.34/1.67 [ ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), Y ) ) ) ]
% 1.34/1.67 ,
% 1.34/1.67 [ ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), X ) ) ) ]
% 1.34/1.67 ,
% 1.34/1.67 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.34/1.67 'tc_nat' ), X ), Z ), 'tc_nat' ), Y ) ) ) ],
% 1.34/1.67 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), Z ) ), ~(
% 1.34/1.67 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), Y ) ) ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.34/1.67 X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ),
% 1.34/1.67 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ),
% 1.34/1.67 ~( hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ), Y ) ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z
% 1.34/1.67 ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ),
% 1.34/1.67 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.34/1.67 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ), Y ) ) ),
% 1.34/1.67 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.34/1.67 X ), Z ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z
% 1.34/1.67 ), T ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ),
% 1.34/1.67 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ),
% 1.34/1.67 ~( hBOOL( hAPP( 'c_lessequals'( Z, X ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ) ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X )
% 1.34/1.67 , Z ), T ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ),
% 1.34/1.67 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z
% 1.34/1.67 , X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ),
% 1.34/1.67 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.34/1.67 X ), T ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.67 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ), T ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL(
% 1.34/1.67 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T )
% 1.34/1.67 , 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ), Y ) ) ), hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.67 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X ), hAPP(
% 1.34/1.67 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL(
% 1.34/1.67 hAPP( 'c_lessequals'( Z, X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.34/1.67 ), Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ) ), hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ],
% 1.34/1.67 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_Series_Osums'(
% 1.34/1.67 Y, 'c_Series_Osuminf'( Y, X ), X ), ~( 'c_Series_Osummable'( Y, X ) ) ]
% 1.34/1.67 ,
% 1.34/1.67 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.34/1.67 'c_Series_Osummable'( Y, X ) ), 'c_Series_Osums'( Y, 'c_Series_Osuminf'(
% 1.34/1.67 Y, X ), X ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.34/1.67 ), Y ), Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.34/1.67 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.34/1.67 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.34/1.67 ), Y ), Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.34/1.67 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.67 X ), X ), Y ) ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.34/1.67 ), Y ), Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.34/1.67 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.67 X ), X ), Y ) ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.34/1.67 ), Y ), Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.34/1.67 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.34/1.67 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.34/1.67 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Z ) ) ) ],
% 1.34/1.67 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), ~( hBOOL(
% 1.34/1.67 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.34/1.67 'tc_nat' ), Z ), X ), 'tc_nat' ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.34/1.67 'tc_nat' ), Z ), Y ) ) ) ) ],
% 1.34/1.67 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), Z ) ) ) ],
% 1.34/1.67 [ hBOOL( hAPP( 'c_lessequals'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.67 'tc_nat' ) ), 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.67 'tc_nat' ), X ), Y ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP( 'c_Suc',
% 1.34/1.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ), Y ) ) ), ~( hBOOL(
% 1.34/1.67 hAPP( 'c_lessequals'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.34/1.67 ) ), 'tc_nat' ), X ) ) ) ],
% 1.34/1.67 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y
% 1.34/1.67 , X ), Y ) ) ],
% 1.34/1.67 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X
% 1.34/1.67 ), Y ) ) ],
% 1.34/1.67 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), X ) ) ],
% 1.34/1.67 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( Z, 'tc_nat' ), Y ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( X
% 1.34/1.67 , 'tc_nat' ), Z ) ) ) ],
% 1.34/1.67 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), X ) ) ],
% 1.34/1.67 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( T, X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.34/1.67 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.34/1.67 T, X ), Z ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), T ) )
% 1.34/1.67 ) ],
% 1.34/1.67 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y
% 1.34/1.67 , X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( T, X ), Z ) ) ), ~( hBOOL(
% 1.34/1.67 hAPP( 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.34/1.67 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( T, X ), Z ) ) ) ],
% 1.34/1.67 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.34/1.67 Y, X ), T ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ), Z ) )
% 1.34/1.67 ) ],
% 1.34/1.67 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X
% 1.34/1.67 ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), T ) ) ), ~( hBOOL(
% 1.34/1.67 hAPP( 'c_lessequals'( T, X ), Z ) ) ) ],
% 1.34/1.67 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.34/1.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( 'c_Suc',
% 1.34/1.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), hAPP( 'c_Suc',
% 1.34/1.67 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.67 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ),
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.34/1.67 ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( T
% 1.34/1.67 , X ) ), Z ) ) ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.67 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ),
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ), Y ) ) ), hBOOL(
% 1.34/1.67 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z
% 1.34/1.67 ) ) ],
% 1.34/1.67 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 1.34/1.67 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OisCont'( Z, T, X, Y ),
% 1.34/1.67 ~( 'c_Lim_OLIM'( Z, T, hAPP( Z, T ), X, Y ) ) ],
% 1.34/1.67 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 1.34/1.67 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( Z, T, hAPP( Z, T
% 1.34/1.67 ), X, Y ), ~( 'c_Lim_OisCont'( Z, T, X, Y ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.67 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.34/1.67 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ), T ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL(
% 1.34/1.67 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T )
% 1.34/1.67 , 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ), Y ) ) ), ~( hBOOL(
% 1.34/1.67 hAPP( 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.34/1.67 ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ) ) ) ],
% 1.34/1.67 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.67 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.67 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X ), hAPP(
% 1.34/1.67 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.34/1.67 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL(
% 1.34/1.67 hAPP( 'c_lessequals'( Z, X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.34/1.67 ), Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ) ), ~( hBOOL(
% 1.34/1.67 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y )
% 1.34/1.67 , 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), Z ) ) ) ],
% 1.34/1.67 [ =( X, Y ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ),
% 1.34/1.67 hAPP( 'c_Suc', Y ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, 'tc_nat' ),
% 1.34/1.67 X ) ) ) ],
% 1.34/1.67 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.34/1.67 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), X ) ), Y ), hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), X ) ) ],
% 1.34/1.67 [ hBOOL( hAPP( 'c_lessequals'( hAPP( 'c_Suc', X ), 'tc_nat' ), hAPP(
% 1.34/1.67 'c_Suc', Y ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ) )
% 1.34/1.67 ],
% 1.34/1.67 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( hAPP( 'c_Suc', X ), 'tc_nat' ), hAPP( 'c_Suc', Y ) ) ) )
% 1.34/1.67 ],
% 1.34/1.67 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ) ) ],
% 1.34/1.67 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y
% 1.34/1.67 , X ), Z ) ), hBOOL( hAPP( 'c_lessequals'( Z, X ), Y ) ) ],
% 1.34/1.67 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), hBOOL( hAPP(
% 1.34/1.67 'c_lessequals'( Y, 'tc_nat' ), X ) ) ],
% 1.34/1.67 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ) ) ],
% 1.34/1.67 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ) ) ],
% 1.34/1.67 [ ~( 'class_Orderings_Oorder'( X ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.34/1.67 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ) ) ],
% 1.34/1.67 [ =( hAPP( hAPP( 'c_Finite__Set_Osetsum'( 'tc_nat',
% 1.34/1.68 'tc_Complex_Ocomplex' ), hAPP( 'c_Power_Opower__class_Opower'(
% 1.34/1.68 'tc_Complex_Ocomplex' ), hAPP( hAPP( 'c_Power_Opower__class_Opower'(
% 1.34/1.68 'tc_Complex_Ocomplex' ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.34/1.68 'tc_Complex_Ocomplex' ), 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex'
% 1.34/1.68 ) ), 'c_FFT__Mirabelle_Oroot'( X ) ) ), Y ) ) ),
% 1.34/1.68 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.68 'tc_nat' ), X, 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.68 'tc_Complex_Ocomplex' ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y,
% 1.34/1.68 'tc_nat' ), X ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.34/1.68 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), Y ) ) ) ],
% 1.34/1.68 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.34/1.68 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), 'tc_nat' ),
% 1.34/1.68 'c_HOL_Oinverse__class_Odivide'( X ) ), Y ), Z, 'tc_nat', X, X ), hAPP(
% 1.34/1.68 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ), X ), =( U,
% 1.34/1.68 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_SEQ_OLIMSEQ'( Z, U, X ) ), ~(
% 1.34/1.68 'c_SEQ_OLIMSEQ'( Y, T, X ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.68 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.68 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.34/1.68 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.34/1.68 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ), T ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) )
% 1.34/1.68 , hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.34/1.68 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ),
% 1.34/1.68 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.34/1.68 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ) ) ) ],
% 1.34/1.68 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_SEQ_OLIMSEQ'( hAPP(
% 1.34/1.68 hAPP( 'c_COMBB'( 'tc_nat', X, 'tc_nat' ), Y ), 'c_Suc' ), Z, X ), ~(
% 1.34/1.68 'c_SEQ_OLIMSEQ'( Y, Z, X ) ) ],
% 1.34/1.68 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_SEQ_OLIMSEQ'( Y, Z, X
% 1.34/1.68 ), ~( 'c_SEQ_OLIMSEQ'( hAPP( hAPP( 'c_COMBB'( 'tc_nat', X, 'tc_nat' ), Y
% 1.34/1.68 ), 'c_Suc' ), Z, X ) ) ],
% 1.34/1.68 [ hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.68 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ), hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.34/1.68 'tc_nat' ), X ) ) ],
% 1.34/1.68 [ hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.68 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ) ), hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.34/1.68 'tc_nat' ), Y ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.68 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.68 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X
% 1.34/1.68 ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.34/1.68 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ), X
% 1.34/1.68 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( Z, X ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.34/1.68 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.34/1.68 , Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), Z ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.68 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.68 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.34/1.68 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.34/1.68 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ), T ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ), X
% 1.34/1.68 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.34/1.68 , T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ), Y ) ) ), ~(
% 1.34/1.68 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.34/1.68 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ) ) ) ],
% 1.34/1.68 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.34/1.68 'c_Series_Osuminf'( hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'(
% 1.34/1.68 X, X ), 'tc_nat' ), 'c_HOL_Oinverse__class_Odivide'( X ) ), Y ), 'tc_nat'
% 1.34/1.68 , X, X ), Z ), X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ),
% 1.34/1.68 'c_Series_Osuminf'( Y, X ) ), Z ) ), ~( 'c_Series_Osummable'( Y, X ) ) ]
% 1.34/1.68 ,
% 1.34/1.68 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Lim_OLIM'( hAPP(
% 1.34/1.68 'c_COMBC'( 'c_HOL_Oinverse__class_Odivide'( X ), X, X, X ), Y ), Z, hAPP(
% 1.34/1.68 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ), X, X ) ],
% 1.34/1.68 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.34/1.68 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), X ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.68 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.68 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.34/1.68 , X ) ), Z ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X
% 1.34/1.68 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ),
% 1.34/1.68 ~( hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.34/1.68 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ),
% 1.34/1.68 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.68 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.68 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.34/1.68 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ),
% 1.34/1.68 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.34/1.68 , ~( hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( T
% 1.34/1.68 , X ) ), Z ), X ), Y ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.34/1.68 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ],
% 1.34/1.68 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( T, X ), Z ) ) ) ],
% 1.34/1.68 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( T, X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.34/1.68 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.34/1.68 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ) ],
% 1.34/1.68 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.68 'tc_nat' ), 'tc_nat' ), X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.34/1.68 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), Y ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.34/1.68 'tc_nat' ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X )
% 1.34/1.68 ) ) ) ],
% 1.34/1.68 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( X, 'tc_nat' ), Y ) ) ) ],
% 1.34/1.68 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( X, 'tc_nat' ), Z ) ) ) ],
% 1.34/1.68 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 1.34/1.68 Z ), 'tc_nat' ), Y ) ) ) ],
% 1.34/1.68 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ),
% 1.34/1.68 X ), 'tc_nat' ), Y ) ) ) ],
% 1.34/1.68 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( X, 'tc_nat' ), Y ) ) ) ],
% 1.34/1.68 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( X, 'tc_nat' ), Z ) ) ) ],
% 1.34/1.68 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.34/1.68 Y, X ), Z ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), Y ) )
% 1.34/1.68 ) ],
% 1.34/1.68 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP( 'c_lessequals'( Z
% 1.34/1.68 , X ), Y ) ) ],
% 1.34/1.68 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.34/1.68 Y, X ), Y ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), Y ) )
% 1.34/1.68 ) ],
% 1.34/1.68 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( Y, X ), Y ) ), hBOOL( hAPP( 'c_lessequals'( Y
% 1.34/1.68 , X ), Y ) ) ],
% 1.34/1.68 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( Z, X ), Y ) ) ) ],
% 1.34/1.68 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y
% 1.34/1.68 , X ), Z ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ) ]
% 1.34/1.68 ,
% 1.34/1.68 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP( 'c_lessequals'( Z
% 1.34/1.68 , X ), Y ) ) ],
% 1.34/1.68 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.34/1.68 Y, X ), Z ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), Y ) )
% 1.34/1.68 ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.34/1.68 'c_HOL_Ozero__class_Ozero'( X ) ), =( hAPP( hAPP(
% 1.34/1.68 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Y ), 'c_HOL_Oone__class_Oone'(
% 1.34/1.68 X ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.34/1.68 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Y ), 'c_HOL_Oone__class_Oone'(
% 1.34/1.68 X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.34/1.68 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.34/1.68 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Y ), 'c_HOL_Oone__class_Oone'(
% 1.34/1.68 X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.68 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), ~( hBOOL(
% 1.34/1.68 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ) ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.68 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ), ~( hBOOL(
% 1.34/1.68 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.68 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ), ~( hBOOL(
% 1.34/1.68 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ) ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.68 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), ~( hBOOL(
% 1.34/1.68 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ) ) ],
% 1.34/1.68 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.34/1.68 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ), ~(
% 1.34/1.68 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.68 'tc_nat' ), 'tc_nat' ), X ) ) ), =( Y, Z ) ],
% 1.34/1.68 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.68 'tc_nat' ), 'tc_nat' ), X ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.34/1.68 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 'tc_nat'
% 1.34/1.68 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ) )
% 1.34/1.68 ],
% 1.34/1.68 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.68 'tc_nat' ), 'tc_nat' ), X ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.34/1.68 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), X ), 'tc_nat'
% 1.34/1.68 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), X ) ) ) )
% 1.34/1.68 ],
% 1.34/1.68 [ hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.68 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( Y, 'tc_nat' ), Z ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.34/1.68 'tc_nat' ), X ) ) ) ],
% 1.34/1.68 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z )
% 1.34/1.68 , X ), 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.34/1.68 Z ), Y ) ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.34/1.68 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), Z ) ) ) ],
% 1.34/1.68 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.34/1.68 'tc_nat' ), Z ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), X ), 'tc_nat' ), hAPP(
% 1.34/1.68 hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ) ) ) ],
% 1.34/1.68 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.34/1.68 'tc_nat' ), Z ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ), 'tc_nat' ), hAPP(
% 1.34/1.68 hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ) ) ) ],
% 1.34/1.68 [ =( X, hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X
% 1.34/1.68 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( 'c_Suc', hAPP( 'c_Suc',
% 1.34/1.68 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ) ) ],
% 1.34/1.68 [ ~( 'class_Int_Oring__char__0'( X ) ), ~( 'class_Int_Onumber__ring'( X
% 1.34/1.68 ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.34/1.68 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =( Y, Z ) ],
% 1.34/1.68 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.68 'tc_nat' ), 'tc_nat' ), hAPP( 'c_Suc', X ) ) ) ],
% 1.34/1.68 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.68 'tc_nat' ), 'tc_nat' ), hAPP( 'c_Suc', X ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ), hAPP( hAPP(
% 1.34/1.68 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.34/1.68 'tc_nat' ), Z ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.34/1.68 'c_HOL_Oone__class_Oone'( X ), X ), Y ) ) ) ],
% 1.34/1.68 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ), T ) ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ), Y ) ), T ) ) ],
% 1.34/1.68 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.68 'tc_nat' ), 'tc_nat' ), X ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.34/1.68 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ) ) ],
% 1.34/1.68 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.68 'tc_nat' ), 'tc_nat' ), X ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.34/1.68 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), X ) ) ) ) ],
% 1.34/1.68 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.34/1.68 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP(
% 1.34/1.68 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), Y ) ) ), ~( hBOOL(
% 1.34/1.68 hAPP( 'c_lessequals'( Y, 'tc_nat' ), X ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Z ) ) ) ],
% 1.34/1.68 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), ~( hBOOL(
% 1.34/1.68 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.68 'tc_nat' ), hAPP( 'c_Suc', Z ) ), X ), 'tc_nat' ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc', Z ) ), Y ) ) ) )
% 1.34/1.68 ],
% 1.34/1.68 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc', X ) ), Y ),
% 1.34/1.68 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP(
% 1.34/1.68 'c_Suc', X ) ), Z ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y,
% 1.34/1.68 'tc_nat' ), Z ) ) ) ],
% 1.34/1.68 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', X ), 'tc_nat' )
% 1.34/1.68 , Y ) ), =( hAPP( 'c_Suc', X ), Y ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ) ) ],
% 1.34/1.68 [ hBOOL( hAPP( 'c_lessequals'( hAPP( 'c_Suc', X ), 'tc_nat' ), Y ) ),
% 1.34/1.68 hBOOL( hAPP( 'c_lessequals'( Y, 'tc_nat' ), X ) ) ],
% 1.34/1.68 [ ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( hAPP( 'c_Suc', Y ), 'tc_nat' ), X ) ) ) ],
% 1.34/1.68 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ) ), Z ) ) ), ~( hBOOL(
% 1.34/1.68 hAPP( 'c_lessequals'( Z, 'tc_nat' ), Y ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.68 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.68 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X
% 1.34/1.68 ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.34/1.68 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.34/1.68 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.34/1.68 , Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), Z ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.68 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.68 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.34/1.68 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.34/1.68 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ), T ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.34/1.68 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Oinverse__class_Odivide'( X ), T ),
% 1.34/1.68 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.68 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.68 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.34/1.68 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.34/1.68 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ), T ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.34/1.68 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.34/1.68 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.68 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.68 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X
% 1.34/1.68 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ),
% 1.34/1.68 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.34/1.68 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.34/1.68 ), Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), Z ) ) ) ]
% 1.34/1.68 ,
% 1.34/1.68 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.34/1.68 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X,
% 1.34/1.68 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, hAPP( 'c_Suc',
% 1.34/1.68 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.34/1.68 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.34/1.68 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, hAPP(
% 1.34/1.68 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.34/1.68 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.34/1.68 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.34/1.68 hAPP( 'c_Suc', Z ) ), X ), 'tc_nat' ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc', Z ) ), Y ) ) ) )
% 1.34/1.68 ],
% 1.34/1.68 [ hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.68 'tc_nat' ), hAPP( 'c_Suc', X ) ), Y ), 'tc_nat' ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc', X ) ), Z ) ) ),
% 1.34/1.68 ~( hBOOL( hAPP( 'c_lessequals'( Y, 'tc_nat' ), Z ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 1.34/1.68 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.68 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ),
% 1.34/1.68 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.34/1.68 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.34/1.68 ), Z ), Y ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.68 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.34/1.68 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ),
% 1.34/1.68 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.34/1.68 ), Y ), Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.68 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ),
% 1.34/1.68 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.34/1.68 X ), Z ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.34/1.68 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ), X ),
% 1.34/1.68 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.68 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.34/1.68 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.34/1.68 X ), Y ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.34/1.68 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ),
% 1.34/1.68 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.34/1.68 [ hBOOL( hAPP( 'c_lessequals'( hAPP( 'c_Suc', X ), 'tc_nat' ), hAPP(
% 1.34/1.68 'c_Suc', X ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.68 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.68 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X ), hAPP(
% 1.34/1.68 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.34/1.68 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.34/1.68 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.34/1.68 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), Z ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.68 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.68 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.34/1.68 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ), T ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.34/1.68 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X )
% 1.34/1.68 , T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.68 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.68 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.34/1.68 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.34/1.68 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ), T ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.34/1.68 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T
% 1.34/1.68 ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.68 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.68 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X ), hAPP(
% 1.34/1.68 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ),
% 1.34/1.68 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.34/1.68 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.34/1.68 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), Z ) ) ) ],
% 1.34/1.68 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), X ) ) ) ],
% 1.34/1.68 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP(
% 1.34/1.68 hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ), ~( hBOOL(
% 1.34/1.68 hAPP( 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), Z ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.34/1.68 'tc_nat' ), X ) ) ) ],
% 1.34/1.68 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), ~( hBOOL(
% 1.34/1.68 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.68 'tc_nat' ), Z ), X ), 'tc_nat' ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.34/1.68 'tc_nat' ), Z ) ) ) ],
% 1.34/1.68 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP(
% 1.34/1.68 hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ) ), ~( hBOOL(
% 1.34/1.68 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.34/1.68 'tc_nat' ), Y ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X,
% 1.34/1.68 'tc_nat' ), Z ) ) ) ],
% 1.34/1.68 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP(
% 1.34/1.68 hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ), ~( hBOOL(
% 1.34/1.68 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.34/1.68 'tc_nat' ), X ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y,
% 1.34/1.68 'tc_nat' ), Z ) ) ) ],
% 1.34/1.68 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP(
% 1.34/1.68 hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ), ~( hBOOL(
% 1.34/1.68 hAPP( 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), Z ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.34/1.68 'tc_nat' ), X ) ) ) ],
% 1.34/1.68 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP(
% 1.34/1.68 hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ) ), ~( hBOOL(
% 1.34/1.68 hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Z ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.34/1.68 'tc_nat' ), Y ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.34/1.68 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.34/1.68 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.68 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X )
% 1.34/1.68 , Z ), T ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ),
% 1.34/1.68 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( T, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.34/1.68 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.34/1.68 X ), T ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.68 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.34/1.68 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.34/1.68 X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ) ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.68 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z
% 1.34/1.68 ), X ), T ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.34/1.68 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.34/1.68 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.34/1.68 X ), Z ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.68 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.34/1.68 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.34/1.68 X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.34/1.68 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ), Y ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ), Z ) ) ),
% 1.34/1.68 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 1.34/1.68 , X ), Y ) ) ) ],
% 1.34/1.68 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.34/1.68 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.34/1.68 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( Z, X ), U ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.34/1.68 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.34/1.68 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.34/1.68 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( Z, X ), U ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.34/1.68 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', X ), 'tc_nat' )
% 1.34/1.68 , hAPP( 'c_Suc', Y ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X,
% 1.34/1.68 'tc_nat' ), Y ) ) ) ],
% 1.34/1.68 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), ~( hBOOL(
% 1.34/1.68 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', X ), 'tc_nat' ), hAPP(
% 1.34/1.68 'c_Suc', Y ) ) ) ) ],
% 1.34/1.68 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', X ), 'tc_nat' )
% 1.34/1.68 , hAPP( 'c_Suc', Y ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X,
% 1.34/1.68 'tc_nat' ), Y ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.34/1.68 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.34/1.68 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Oinverse__class_Odivide'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.34/1.68 ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 1.34/1.68 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.34/1.68 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.34/1.68 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.34/1.68 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.34/1.68 ,
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.34/1.68 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.34/1.68 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.34/1.68 'c_Power_Opower__class_Opower'( X ), Y ), T ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( T, 'tc_nat' ), Z ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.68 X ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.34/1.68 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.34/1.68 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.34/1.68 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 1.34/1.68 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( T, 'tc_nat' ), Z ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.68 X ) ) ],
% 1.34/1.68 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~( =( hAPP( Y,
% 1.34/1.68 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.34/1.68 ) ), 'c_Series_Osums'( Y, Z, X ), ~( 'c_Series_Osums'( hAPP( hAPP(
% 1.34/1.68 'c_COMBB'( 'tc_nat', X, 'tc_nat' ), Y ), 'c_Suc' ), Z, X ) ) ],
% 1.34/1.68 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.34/1.68 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( 'c_Suc', Z ) ), T ) ),
% 1.34/1.68 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.34/1.68 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), T ) ) ), Y ) ), ~( hBOOL(
% 1.34/1.68 hAPP( 'c_lessequals'( T, 'tc_nat' ), Z ) ) ) ],
% 1.34/1.68 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( hAPP( hAPP(
% 1.34/1.68 'c_HOL_Oplus__class_Oplus'( X ), 'c_Series_Osuminf'( Y, X ) ),
% 1.34/1.68 'c_Series_Osuminf'( Z, X ) ), 'c_Series_Osuminf'( 'c_COMBS'( hAPP( hAPP(
% 1.34/1.68 'c_COMBB'( X, 'tc_fun'( X, X ), 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( X
% 1.34/1.68 ) ), Y ), Z, 'tc_nat', X, X ), X ) ), ~( 'c_Series_Osummable'( Z, X ) )
% 1.34/1.68 , ~( 'c_Series_Osummable'( Y, X ) ) ],
% 1.34/1.68 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( X ), 'c_Series_Osuminf'( Y, X ) ), Z ),
% 1.34/1.68 'c_Series_Osuminf'( hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'(
% 1.34/1.68 X, X ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X ) ), Y ), 'tc_nat', X
% 1.34/1.68 , X ), Z ), X ) ), ~( 'c_Series_Osummable'( Y, X ) ) ],
% 1.34/1.68 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( X ), 'c_Series_Osuminf'( Y, X ) ), Z ),
% 1.34/1.68 'c_Series_Osuminf'( hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'(
% 1.34/1.68 X, X ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X ) ), Y ), 'tc_nat', X
% 1.34/1.68 , X ), Z ), X ) ), ~( 'c_Series_Osummable'( Y, X ) ) ],
% 1.34/1.68 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_Series_Osums'(
% 1.34/1.68 Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( Y,
% 1.34/1.68 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), X ), ~( 'c_Series_Osums'(
% 1.34/1.68 hAPP( hAPP( 'c_COMBB'( 'tc_nat', X, 'tc_nat' ), Y ), 'c_Suc' ), Z, X ) )
% 1.34/1.68 ],
% 1.34/1.68 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( hAPP( hAPP(
% 1.34/1.68 'c_HOL_Ominus__class_Ominus'( X ), 'c_Series_Osuminf'( Y, X ) ),
% 1.34/1.68 'c_Series_Osuminf'( Z, X ) ), 'c_Series_Osuminf'( 'c_COMBS'( hAPP( hAPP(
% 1.34/1.68 'c_COMBB'( X, 'tc_fun'( X, X ), 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'(
% 1.34/1.68 X ) ), Y ), Z, 'tc_nat', X, X ), X ) ), ~( 'c_Series_Osummable'( Z, X ) )
% 1.34/1.68 , ~( 'c_Series_Osummable'( Y, X ) ) ],
% 1.34/1.68 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'( Y
% 1.34/1.68 , Z, X ), ~( 'c_SEQ_OZseq'( hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( X,
% 1.34/1.68 'tc_fun'( X, X ), 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( X ) ), Y ),
% 1.34/1.68 'tc_nat', X, X ), Z ), X ) ) ],
% 1.34/1.68 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OZseq'(
% 1.34/1.68 hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), 'tc_nat' ),
% 1.34/1.68 'c_HOL_Ominus__class_Ominus'( X ) ), Y ), 'tc_nat', X, X ), Z ), X ), ~(
% 1.34/1.68 'c_SEQ_OLIMSEQ'( Y, Z, X ) ) ],
% 1.34/1.68 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.34/1.68 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ),
% 1.34/1.68 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, hAPP( 'c_Suc', T ),
% 1.34/1.68 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( T, 'tc_nat' ), Z ) ) ) ],
% 1.34/1.68 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.34/1.68 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ),
% 1.34/1.68 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, hAPP( 'c_Suc', T ),
% 1.34/1.68 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.34/1.68 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ),
% 1.34/1.68 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, 'tc_nat' ) ) ), hAPP(
% 1.34/1.68 Y, T ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, 'tc_nat' ), Z ) )
% 1.34/1.68 ],
% 1.34/1.68 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.34/1.68 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ),
% 1.34/1.68 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, 'tc_nat' ) ), hAPP(
% 1.34/1.68 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( Y, Z ) ), hAPP( hAPP(
% 1.34/1.68 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ),
% 1.34/1.68 'c_SetInterval_Oord__class_OatLeastLessThan'( hAPP( 'c_Suc', Z ), T,
% 1.34/1.68 'tc_nat' ) ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, 'tc_nat'
% 1.34/1.68 ), T ) ) ) ],
% 1.34/1.68 [ =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' )
% 1.34/1.68 , 'c_FFT__Mirabelle_Oroot'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.68 'tc_nat' ), X ), Y ) ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.68 'tc_nat' ), X ), Z ) ), hAPP( hAPP( 'c_Power_Opower__class_Opower'(
% 1.34/1.68 'tc_Complex_Ocomplex' ), 'c_FFT__Mirabelle_Oroot'( Y ) ), Z ) ), ~( hBOOL(
% 1.34/1.68 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.34/1.68 'tc_nat' ), X ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.34/1.68 , T ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Y )
% 1.34/1.68 ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ),
% 1.34/1.68 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.34/1.68 , Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.34/1.68 ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ), Z ) ) ), ~(
% 1.34/1.68 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.34/1.68 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.34/1.68 , T ), Y ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.34/1.68 ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.34/1.68 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.34/1.68 , Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.34/1.68 ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), T ) ) ), ~(
% 1.34/1.68 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.34/1.68 X ), Y ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.34/1.68 , Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.34/1.68 ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.34/1.68 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( T, X ), Z ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.34/1.68 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.68 X ), Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T
% 1.34/1.68 ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.34/1.68 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( Z, X ), T ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.34/1.68 , Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.34/1.68 ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), T ) ) ), ~(
% 1.34/1.68 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.34/1.68 X ), Y ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.34/1.68 , Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.34/1.68 ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ), Z ) ) ), ~(
% 1.34/1.68 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.34/1.68 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.34/1.68 , Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.34/1.68 ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ),
% 1.34/1.68 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( T, X ), Y ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.34/1.68 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.68 X ), Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z
% 1.34/1.68 ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.34/1.68 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.34/1.68 , Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.34/1.68 ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ), ~(
% 1.34/1.68 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.34/1.68 X ), Z ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.34/1.68 , Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.34/1.68 ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ), Y ) ) ), ~(
% 1.34/1.68 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ),
% 1.34/1.68 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.34/1.68 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) )
% 1.34/1.68 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), T ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.34/1.68 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.34/1.68 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ), =( Y,
% 1.34/1.68 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.34/1.68 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.34/1.68 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ), =( Z,
% 1.34/1.68 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.34/1.68 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.34/1.68 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.34/1.68 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.34/1.68 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.34/1.68 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ), ~( hBOOL(
% 1.34/1.68 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z
% 1.34/1.68 ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.34/1.68 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.34/1.68 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.34/1.68 ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.34/1.68 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.34/1.68 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.34/1.68 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.34/1.68 ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.34/1.68 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.34/1.68 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.34/1.68 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.34/1.68 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), Z ), Y ), =( Z,
% 1.34/1.68 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.34/1.68 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y, hAPP( hAPP(
% 1.34/1.68 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), Z ) ), =( Z,
% 1.34/1.68 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.34/1.68 'c_HOL_Ozero__class_Ozero'( X ) ), =( hAPP( hAPP(
% 1.34/1.68 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ), Y ), Z ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.34/1.68 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, hAPP( hAPP(
% 1.34/1.68 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ), Y ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), ~( hBOOL(
% 1.34/1.68 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y )
% 1.34/1.68 , Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ), ~( hBOOL(
% 1.34/1.68 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z )
% 1.34/1.68 , Y ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL(
% 1.34/1.68 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y )
% 1.34/1.68 , Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL(
% 1.34/1.68 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z )
% 1.34/1.68 , Y ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.34/1.68 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.68 X ), Y ), Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.34/1.68 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.34/1.68 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.34/1.68 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.68 X ), Y ), Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.34/1.68 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.68 X ), X ), Y ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.34/1.68 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.68 X ), Y ), Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.34/1.68 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.68 X ), X ), Z ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.34/1.68 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ), ~(
% 1.34/1.68 hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) )
% 1.34/1.68 ), ~( hBOOL( hAPP( 'c_lessequals'( Z, X ), T ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.34/1.68 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ), ~(
% 1.34/1.68 hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) )
% 1.34/1.68 ), ~( hBOOL( hAPP( 'c_lessequals'( Z, X ), T ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.34/1.68 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ), ~(
% 1.34/1.68 hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) )
% 1.34/1.68 ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.34/1.68 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ), ~(
% 1.34/1.68 hBOOL( hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.34/1.68 ), ~( hBOOL( hAPP( 'c_lessequals'( T, X ), Z ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.34/1.68 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ), ~(
% 1.34/1.68 hBOOL( hAPP( 'c_lessequals'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.34/1.68 ), ~( hBOOL( hAPP( 'c_lessequals'( T, X ), Y ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL(
% 1.34/1.68 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ]
% 1.34/1.68 ,
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL(
% 1.34/1.68 hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ]
% 1.34/1.68 ,
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL(
% 1.34/1.68 hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ]
% 1.34/1.68 ,
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL(
% 1.34/1.68 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ]
% 1.34/1.68 ,
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL(
% 1.34/1.68 hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ]
% 1.34/1.68 ,
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), hBOOL(
% 1.34/1.68 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL(
% 1.34/1.68 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ]
% 1.34/1.68 ,
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), ~( hBOOL(
% 1.34/1.68 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ), ~( hBOOL(
% 1.34/1.68 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ), ~( hBOOL(
% 1.34/1.68 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), ~( hBOOL(
% 1.34/1.68 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.34/1.68 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ) ), ~(
% 1.34/1.68 hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) )
% 1.34/1.68 ), ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.34/1.68 , T ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, X ), U ) ) ), ~( hBOOL(
% 1.34/1.68 hAPP( 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.34/1.68 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ) ), ~(
% 1.34/1.68 hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) )
% 1.34/1.68 ), ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.34/1.68 , Y ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, X ), U ) ) ), ~( hBOOL(
% 1.34/1.68 hAPP( 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.34/1.68 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.34/1.68 X ), Y ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.34/1.68 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.34/1.68 X ), Y ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ), X ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ) ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( hBOOL(
% 1.34/1.68 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.68 X ), Y ), Y ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.34/1.68 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.34/1.68 Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.34/1.68 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.34/1.68 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), hBOOL(
% 1.34/1.68 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y )
% 1.34/1.68 , Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL(
% 1.34/1.68 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ]
% 1.34/1.68 ,
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), hBOOL(
% 1.34/1.68 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y )
% 1.34/1.68 , Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL(
% 1.34/1.68 hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ]
% 1.34/1.68 ,
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), hBOOL(
% 1.34/1.68 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y )
% 1.34/1.68 , Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL(
% 1.34/1.68 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ]
% 1.34/1.68 ,
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), hBOOL(
% 1.34/1.68 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y )
% 1.34/1.68 , Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL(
% 1.34/1.68 hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ]
% 1.34/1.68 ,
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), hBOOL(
% 1.34/1.68 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y )
% 1.34/1.68 , Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL(
% 1.34/1.68 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ) ]
% 1.34/1.68 ,
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.34/1.68 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.34/1.68 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.34/1.68 ), Y ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.34/1.68 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y, hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), Z ) ), =( Z,
% 1.34/1.68 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.34/1.68 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), Z ), Y ), =( Z,
% 1.34/1.68 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ),
% 1.34/1.68 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ) ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.34/1.68 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), T ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.34/1.68 , Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.34/1.68 ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ),
% 1.34/1.68 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.34/1.68 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), T ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.34/1.68 , Z ), Y ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Y )
% 1.34/1.68 ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( hAPP( hAPP(
% 1.34/1.68 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ) ) ), =( U,
% 1.34/1.68 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.34/1.68 ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), U ), hAPP(
% 1.34/1.68 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ) ), =( Z,
% 1.34/1.68 'c_HOL_Ozero__class_Ozero'( X ) ), =( U, 'c_HOL_Ozero__class_Ozero'( X )
% 1.34/1.68 ), =( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), U ), hAPP(
% 1.34/1.68 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.34/1.68 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.34/1.68 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.34/1.68 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.34/1.68 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL(
% 1.34/1.68 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.34/1.68 X ), Y ), Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.34/1.68 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.34/1.68 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.34/1.68 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( hBOOL(
% 1.34/1.68 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.34/1.68 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.34/1.68 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.34/1.68 ), =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.34/1.68 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.34/1.68 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.34/1.68 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.34/1.68 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z )
% 1.34/1.68 , T ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), T ) ) ), ~( hBOOL(
% 1.34/1.68 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ) ]
% 1.34/1.68 ,
% 1.34/1.68 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.34/1.68 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z )
% 1.34/1.68 , T ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), Z ) ) ), ~( hBOOL(
% 1.34/1.68 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ) ]
% 1.34/1.68 ,
% 1.34/1.68 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 1.34/1.68 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.34/1.68 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.34/1.68 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ), =( Y,
% 1.34/1.68 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.34/1.68 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 1.34/1.68 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.34/1.68 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.34/1.68 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ), =( Z,
% 1.34/1.68 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.34/1.68 ), Y ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.34/1.68 ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.34/1.68 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.34/1.68 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ),
% 1.34/1.68 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.34/1.68 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.34/1.68 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.34/1.68 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ),
% 1.34/1.68 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.34/1.68 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.34/1.68 ), Y ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.34/1.68 ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.34/1.68 X ), Z ), T ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), T )
% 1.34/1.68 ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.34/1.68 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ) ],
% 1.34/1.68 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ),
% 1.34/1.68 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.34/1.68 ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ) ) ) ) ]
% 1.34/1.68 ,
% 1.34/1.68 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.34/1.68 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) )
% 1.34/1.68 ],
% 1.34/1.68 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL(
% 1.34/1.68 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL(
% 1.34/1.68 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ]
% 1.34/1.68 ,
% 1.34/1.68 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), ~( hBOOL(
% 1.34/1.68 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ) ) ) ) ],
% 1.34/1.68 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ],
% 1.34/1.68 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL(
% 1.34/1.68 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.34/1.68 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.34/1.68 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.68 X ), X ), Y ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 1.34/1.68 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.34/1.68 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.34/1.68 Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.34/1.68 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.34/1.68 'c_HOL_Oinverse__class_Odivide'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.34/1.68 ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.34/1.68 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.34/1.68 'c_HOL_Oinverse__class_Odivide'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.34/1.68 ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.34/1.68 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( hAPP( hAPP(
% 1.34/1.68 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.34/1.68 Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.34/1.68 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.68 'class_Int_Onumber'( X ) ), ~( =( hAPP( hAPP(
% 1.34/1.68 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.34/1.68 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), =( Y, hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( T
% 1.34/1.68 , X ) ), Z ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.34/1.68 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.68 X ), Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U
% 1.34/1.68 ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.34/1.68 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ), ~( hBOOL(
% 1.34/1.68 hAPP( 'c_lessequals'( Z, X ), U ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.34/1.68 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.68 X ), Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U
% 1.34/1.68 ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.34/1.68 X ), Z ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.34/1.68 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( Z, X ), U ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.34/1.68 ), Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y )
% 1.34/1.68 , T ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.34/1.68 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.34/1.68 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), T ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.34/1.68 ), Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y )
% 1.34/1.68 , T ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.34/1.68 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) )
% 1.34/1.68 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ), Z ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.34/1.68 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.68 'class_Int_Onumber'( X ) ), =( hAPP( hAPP(
% 1.34/1.68 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.34/1.68 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ),
% 1.34/1.68 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.68 X ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.34/1.68 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.68 'class_Int_Onumber'( X ) ), =( hAPP( hAPP(
% 1.34/1.68 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.34/1.68 , X ) ), Z ) ), Z ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), =( Z,
% 1.34/1.68 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.34/1.68 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.68 'class_Int_Onumber'( X ) ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.68 X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.34/1.68 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ),
% 1.34/1.68 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y ), =(
% 1.34/1.68 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.34/1.68 ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.34/1.68 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.68 'class_Int_Onumber'( X ) ), =( Y, hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.34/1.68 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ),
% 1.34/1.68 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =(
% 1.34/1.68 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.34/1.68 ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.34/1.68 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.68 'class_Int_Onumber'( X ) ), =( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.34/1.68 , hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.34/1.68 , X ) ), Z ) ), Z ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.68 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.34/1.68 , hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ),
% 1.34/1.68 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.34/1.68 , Y ), T ), X ), Z ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.68 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.34/1.68 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ), hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ]
% 1.34/1.68 ,
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.68 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( T, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.34/1.68 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ), hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ]
% 1.34/1.68 ,
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.68 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( T, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.34/1.68 , hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.34/1.68 , X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), hAPP(
% 1.34/1.68 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.68 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.34/1.68 ), Y ), Z ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.34/1.68 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.34/1.68 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.68 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.34/1.68 ), Y ), Z ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.34/1.68 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.34/1.68 , T ), Z ), X ), Y ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.34/1.68 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.68 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.34/1.68 ), Y ), Z ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X
% 1.34/1.68 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.34/1.68 , T ), Z ), X ), Y ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.34/1.68 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.68 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.34/1.68 , Y ), Z ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X )
% 1.34/1.68 , 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ),
% 1.34/1.68 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.34/1.68 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ), Y ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.34/1.68 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.68 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.34/1.68 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( hAPP( hAPP(
% 1.34/1.68 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.34/1.68 , X ) ), Z ) ), Z ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.34/1.68 X ), Y ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, X ),
% 1.34/1.68 'c_HOL_Oone__class_Oone'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.34/1.68 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.34/1.68 X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ),
% 1.34/1.68 'c_HOL_Oone__class_Oone'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.34/1.68 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.68 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.34/1.68 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.34/1.68 , Y ), T ), X ), Z ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.68 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( T, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.34/1.68 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.34/1.68 , Y ), T ), X ), Z ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.68 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.34/1.68 ), Y ), Z ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.34/1.68 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.34/1.68 , T ), Z ), X ), Y ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X
% 1.34/1.68 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.68 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.34/1.68 ), Y ), Z ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X
% 1.34/1.68 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.34/1.68 , T ), Z ), X ), Y ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X
% 1.34/1.68 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.34/1.68 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.68 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.34/1.68 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.34/1.68 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.34/1.68 , X ) ), Z ) ), Z ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.34/1.68 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.68 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.34/1.68 X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ), =(
% 1.34/1.68 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.34/1.68 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z ), =( T,
% 1.34/1.68 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.34/1.68 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.68 X ), Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U
% 1.34/1.68 ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.34/1.68 X ), Z ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.68 X ), X ), Y ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), U )
% 1.34/1.68 ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.34/1.68 , Y ), T ), X ), Z ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.34/1.68 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.34/1.68 ), Y ), Z ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X
% 1.34/1.68 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ) ), ~(
% 1.34/1.68 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.34/1.68 X ), Z ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.68 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) )
% 1.34/1.68 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), Z ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.68 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.34/1.68 , Y ), Z ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.34/1.68 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ) ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.68 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.34/1.68 ), Y ), Z ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.34/1.68 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.68 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) )
% 1.34/1.68 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.34/1.68 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ), X ), Z ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.34/1.68 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.68 'class_Int_Onumber'( X ) ), =( Y, hAPP( hAPP(
% 1.34/1.68 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.34/1.68 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ),
% 1.34/1.68 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =(
% 1.34/1.68 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.34/1.68 ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.34/1.68 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.68 'class_Int_Onumber'( X ) ), =( hAPP( hAPP(
% 1.34/1.68 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.34/1.68 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ),
% 1.34/1.68 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y ), =(
% 1.34/1.68 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.34/1.68 ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.34/1.68 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.68 'class_Int_Onumber'( X ) ), =( 'c_HOL_Ozero__class_Ozero'( X ), hAPP(
% 1.34/1.68 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.34/1.68 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ),
% 1.34/1.68 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.34/1.68 hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL(
% 1.34/1.68 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.68 X ), Y ), T ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T
% 1.34/1.68 ) ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.34/1.68 hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL(
% 1.34/1.68 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.68 X ), T ), Y ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z
% 1.34/1.68 ) ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.34/1.68 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.34/1.68 , Y ), T ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T )
% 1.34/1.68 ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.34/1.68 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.34/1.68 , T ), Y ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.34/1.68 ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.34/1.68 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.68 X ), Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U
% 1.34/1.68 ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.34/1.68 X ), Z ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.34/1.68 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( Z, X ), U ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.34/1.68 hAPP( 'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) )
% 1.34/1.68 , ~( hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.34/1.68 hAPP( 'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) )
% 1.34/1.68 , ~( hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.34/1.68 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ), ~(
% 1.34/1.68 hBOOL( hAPP( 'c_lessequals'( Z, X ), T ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) )
% 1.34/1.68 ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) )
% 1.34/1.68 ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.34/1.68 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ), ~(
% 1.34/1.68 hBOOL( hAPP( 'c_lessequals'( T, X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.34/1.68 ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ) ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( T, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.34/1.68 ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.68 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X )
% 1.34/1.68 , Z ), T ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ),
% 1.34/1.68 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z
% 1.34/1.68 , X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ), ~(
% 1.34/1.68 hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.34/1.68 ), Y ), T ), X ), Z ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.68 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z
% 1.34/1.68 ), X ), T ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.34/1.68 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ),
% 1.34/1.68 X ), Y ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ) ) ],
% 1.34/1.68 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.34/1.68 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.34/1.68 X ), Z ), T ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), T ) ) ), ~(
% 1.34/1.68 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.34/1.68 X ), Z ) ) ) ],
% 1.34/1.68 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL(
% 1.34/1.68 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.34/1.68 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL(
% 1.34/1.68 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.34/1.68 ) ) ) ],
% 1.34/1.68 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL(
% 1.34/1.68 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.34/1.68 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.34/1.68 , ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.34/1.68 ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.34/1.68 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.34/1.68 'c_HOL_Oone__class_Oone'( X ) ) ) ) ],
% 1.34/1.68 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL(
% 1.34/1.68 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.34/1.68 X ), Y ), Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.34/1.68 , ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.34/1.68 ) ) ) ],
% 1.34/1.68 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL(
% 1.34/1.68 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.34/1.68 X ), Y ), Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL(
% 1.34/1.68 hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.34/1.68 ) ) ) ],
% 1.34/1.68 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.34/1.68 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.34/1.68 X ), Z ), T ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), T )
% 1.34/1.68 ) ), ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.34/1.68 ), Z ) ) ) ],
% 1.34/1.68 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 1.34/1.68 'class_RealVector_Ometric__space'( Y ) ), ~(
% 1.34/1.68 'class_RealVector_Ometric__space'( Z ) ), 'c_Lim_OLIM'( hAPP( hAPP(
% 1.34/1.68 'c_COMBB'( X, Y, Z ), T ), U ), W, hAPP( T, V0 ), Z, Y ), ~( 'c_Lim_OLIM'(
% 1.34/1.68 U, W, V0, Z, X ) ), ~( 'c_Lim_OLIM'( T, V0, hAPP( T, V0 ), X, Y ) ) ]
% 1.34/1.68 ,
% 1.34/1.68 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 1.34/1.68 'class_RealVector_Ometric__space'( Y ) ), ~(
% 1.34/1.68 'class_RealVector_Ometric__space'( Z ) ), 'c_Lim_OisCont'( hAPP( hAPP(
% 1.34/1.68 'c_COMBB'( Z, Y, X ), T ), U ), W, X, Y ), ~( 'c_Lim_OisCont'( T, hAPP( U
% 1.34/1.68 , W ), Z, Y ) ), ~( 'c_Lim_OisCont'( U, W, X, Z ) ) ],
% 1.34/1.68 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ),
% 1.34/1.68 'c_Deriv_Odifferentiable'( hAPP( hAPP( 'c_COMBB'( X, X, X ), Y ), Z ), T
% 1.34/1.68 , X ), ~( 'c_Deriv_Odifferentiable'( Z, T, X ) ), ~(
% 1.34/1.68 'c_Deriv_Odifferentiable'( Y, hAPP( Z, T ), X ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.34/1.68 , Z ), T ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.34/1.68 ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.34/1.68 , T ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Y )
% 1.34/1.68 ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.34/1.68 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ) ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ) ],
% 1.34/1.68 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_Lim_OLIM'(
% 1.34/1.68 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z, hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X, X ) ],
% 1.34/1.68 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_Lim_OisCont'(
% 1.34/1.68 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z, X, X ) ],
% 1.34/1.68 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.34/1.68 Y ) ],
% 1.34/1.68 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ),
% 1.34/1.68 Y ) ],
% 1.34/1.68 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =( hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ),
% 1.34/1.68 Y ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ),
% 1.34/1.68 Y ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.34/1.68 Y ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ),
% 1.34/1.68 Y ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.34/1.68 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), Z ) ) ],
% 1.34/1.68 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'(
% 1.34/1.68 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z, Y, X ) ],
% 1.34/1.68 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z )
% 1.34/1.68 , T ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( U, X ), T ) ) ), ~( hBOOL(
% 1.34/1.68 hAPP( 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.34/1.68 , Z ), U ) ) ) ) ],
% 1.34/1.68 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.34/1.68 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.34/1.68 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.34/1.68 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.34/1.68 , hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.34/1.68 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.34/1.68 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.34/1.68 , hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.34/1.68 ), T ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) )
% 1.34/1.68 ],
% 1.34/1.68 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.34/1.68 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.34/1.68 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( Z, X ), T ) ) ) ],
% 1.34/1.68 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.34/1.68 , hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.34/1.68 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( Z, X ), T ) ) ) ],
% 1.34/1.68 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.34/1.68 , hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T
% 1.34/1.68 ), Y ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ) )
% 1.34/1.68 ],
% 1.34/1.68 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.34/1.68 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.34/1.68 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( Z, X ), U ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.34/1.68 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), hBOOL(
% 1.34/1.68 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z
% 1.34/1.68 ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) ) ), ~(
% 1.34/1.68 hBOOL( hAPP( 'c_lessequals'( Z, X ), U ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.34/1.68 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.34/1.68 , hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.34/1.68 ), Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z )
% 1.34/1.68 ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.34/1.68 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.34/1.68 , hBOOL( hAPP( 'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X
% 1.34/1.68 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ) ],
% 1.34/1.68 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.34/1.68 , hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.34/1.68 ), Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T )
% 1.34/1.68 ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, X ), T ) ) ) ],
% 1.34/1.68 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.34/1.68 , hBOOL( hAPP( 'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Y ), X
% 1.34/1.68 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ) ) ],
% 1.34/1.68 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), hBOOL(
% 1.34/1.68 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z
% 1.34/1.68 ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), ~(
% 1.34/1.68 hBOOL( hAPP( 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.34/1.68 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), hBOOL(
% 1.34/1.68 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z
% 1.34/1.68 ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), ~(
% 1.34/1.68 hBOOL( hAPP( 'c_lessequals'( Z, X ), T ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.34/1.68 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ) ],
% 1.34/1.68 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( hAPP( hAPP(
% 1.34/1.68 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.34/1.68 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.34/1.68 hAPP( 'c_Suc', T ) ), X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.34/1.68 ), Z ), hAPP( 'c_Suc', T ) ) ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.34/1.68 'c_HOL_Ozero__class_Ozero'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X ),
% 1.34/1.68 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP(
% 1.34/1.68 hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.34/1.68 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), X ),
% 1.34/1.68 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( hAPP( hAPP(
% 1.34/1.68 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP(
% 1.34/1.68 hAPP( 'c_Power_Opower__class_Opower'( X ), T ), hAPP( 'c_Suc', Z ) ) ) )
% 1.34/1.68 , =( Y, T ), ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.68 X ), X ), T ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.34/1.68 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.34/1.68 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.34/1.68 ), Y ), T ), X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.34/1.68 T ) ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.34/1.68 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.34/1.68 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ) ), hAPP( hAPP(
% 1.34/1.68 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), U ), Z ) ) ), hAPP( hAPP(
% 1.34/1.68 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.34/1.68 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 1.34/1.68 'c_Power_Opower__class_Opower'( X ), Y ), U ) ) ), Z ) ), =( Y,
% 1.34/1.68 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.34/1.68 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL(
% 1.34/1.68 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y
% 1.34/1.68 ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.34/1.68 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X
% 1.34/1.68 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.34/1.68 Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.34/1.68 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL(
% 1.34/1.68 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z
% 1.34/1.68 ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL(
% 1.34/1.68 hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ]
% 1.34/1.68 ,
% 1.34/1.68 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'(
% 1.34/1.68 hAPP( hAPP( 'c_COMBB'( X, X, X ), Y ), Z ), T, hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( X ), U ), W ), X ), ~( 'c_Deriv_Oderiv'( Z
% 1.34/1.68 , T, W, X ) ), ~( 'c_Deriv_Oderiv'( Y, hAPP( Z, T ), U, X ) ) ],
% 1.34/1.68 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'(
% 1.34/1.68 hAPP( hAPP( 'c_COMBB'( X, X, X ), Y ), Z ), T, hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( X ), U ), W ), X ), ~( 'c_Deriv_Oderiv'( Y
% 1.34/1.68 , hAPP( Z, T ), U, X ) ), ~( 'c_Deriv_Oderiv'( Z, T, W, X ) ) ],
% 1.34/1.68 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_Limits_OZfun'(
% 1.34/1.68 hAPP( hAPP( 'c_COMBB'( X, X, Y ), hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.34/1.68 , Z ) ), T ), U, Y, X ), ~( 'c_Limits_OZfun'( T, U, Y, X ) ) ],
% 1.34/1.68 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_Limits_OZfun'(
% 1.34/1.68 hAPP( hAPP( 'c_COMBB'( X, X, Y ), hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.34/1.68 , Z ) ), T ), U, Y, X ), ~( 'c_Limits_OZfun'( T, U, Y, X ) ) ],
% 1.34/1.68 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 1.34/1.68 'c_Limits_Otendsto'( hAPP( hAPP( 'c_COMBB'( X, X, Y ), hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( X ), Z ) ), T ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ), W, Y, X ), ~(
% 1.34/1.68 'c_Limits_Otendsto'( T, U, W, Y, X ) ) ],
% 1.34/1.68 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 1.34/1.68 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( hAPP( hAPP(
% 1.34/1.68 'c_COMBB'( X, X, Y ), hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ) ), T )
% 1.34/1.68 , U, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), W ), Y, X ), ~(
% 1.34/1.68 'c_Lim_OLIM'( T, U, W, Y, X ) ) ],
% 1.34/1.68 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'(
% 1.34/1.68 hAPP( hAPP( 'c_COMBB'( X, X, X ), hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.34/1.68 , Y ) ), Z ), T, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), U )
% 1.34/1.68 , X ), ~( 'c_Deriv_Oderiv'( Z, T, U, X ) ) ],
% 1.34/1.68 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ),
% 1.34/1.68 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.34/1.68 Y, X ), Z ) ) ) ],
% 1.34/1.68 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.34/1.68 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), X ),
% 1.34/1.68 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.34/1.68 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X )
% 1.34/1.68 , Y ), Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ) ],
% 1.34/1.68 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X )
% 1.34/1.68 , Y ), Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), ~( 'class_Int_Onumber'(
% 1.34/1.68 X ) ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.34/1.68 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.68 X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), Z ) ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.34/1.68 , X ) ), T ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.34/1.68 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.34/1.68 X ), 'c_HOL_Oone__class_Oone'( X ) ), 'c_HOL_Oone__class_Oone'( X ) ) ),
% 1.34/1.68 Y ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.34/1.68 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.68 X ), Y ), Z ) ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.34/1.68 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Oone__class_Oone'( X )
% 1.34/1.68 ) ), Z ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.34/1.68 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.34/1.68 X ), Z ), 'c_HOL_Oone__class_Oone'( X ) ) ), Y ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), ~( 'class_Int_Onumber'(
% 1.34/1.68 X ) ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ),
% 1.34/1.68 'c_Int_Onumber__class_Onumber__of'( T, X ) ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.68 X ), Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( X ), Z ),
% 1.34/1.68 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 1.34/1.68 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.68 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( 'class_Int_Onumber'( X )
% 1.34/1.68 ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.34/1.68 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.34/1.68 , X ) ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.34/1.68 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( 'class_Int_Onumber'( X )
% 1.34/1.68 ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ),
% 1.34/1.68 'c_Int_Onumber__class_Onumber__of'( T, X ) ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.34/1.68 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Otimes__class_Otimes'( X ), Z ),
% 1.34/1.68 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.34/1.68 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.34/1.68 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.34/1.68 ), ~( =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.34/1.68 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ),
% 1.34/1.68 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.34/1.68 ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.34/1.68 'c_HOL_Ozero__class_Ozero'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X ),
% 1.34/1.68 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP(
% 1.34/1.68 hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ),
% 1.34/1.68 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.34/1.68 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.34/1.68 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ),
% 1.34/1.68 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z )
% 1.34/1.68 , X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), T ), Z ) ) ), ~(
% 1.34/1.68 hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) )
% 1.34/1.68 ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.34/1.68 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 1.34/1.68 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.34/1.68 hAPP( 'c_Suc', Y ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.34/1.68 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.34/1.68 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.34/1.68 hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.34/1.68 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) )
% 1.34/1.68 ],
% 1.34/1.68 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.34/1.68 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.34/1.68 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.34/1.68 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 1.34/1.68 'c_Power_Opower__class_Opower'( X ), Z ), T ) ) ), =( Z,
% 1.34/1.68 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.34/1.68 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_Lim_OisCont'(
% 1.37/1.68 hAPP( 'c_COMBC'( 'c_HOL_Otimes__class_Otimes'( X ), X, X, X ), Y ), Z, X
% 1.37/1.68 , X ) ],
% 1.37/1.68 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_Lim_OLIM'(
% 1.37/1.68 hAPP( 'c_COMBC'( 'c_HOL_Otimes__class_Otimes'( X ), X, X, X ), Y ), Z,
% 1.37/1.68 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ), X, X ) ],
% 1.37/1.68 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_SEQ_OCauchy'(
% 1.37/1.68 hAPP( hAPP( 'c_COMBB'( X, X, 'tc_nat' ), hAPP(
% 1.37/1.68 'c_HOL_Otimes__class_Otimes'( X ), Y ) ), Z ), X ), ~( 'c_SEQ_OCauchy'( Z
% 1.37/1.68 , X ) ) ],
% 1.37/1.68 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.37/1.68 hAPP( hAPP( 'c_COMBB'( X, X, 'tc_nat' ), hAPP(
% 1.37/1.68 'c_HOL_Otimes__class_Otimes'( X ), Y ) ), Z ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), ~( 'c_SEQ_OLIMSEQ'( Z,
% 1.37/1.68 T, X ) ) ],
% 1.37/1.68 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_SEQ_OZseq'(
% 1.37/1.68 hAPP( hAPP( 'c_COMBB'( X, X, 'tc_nat' ), hAPP(
% 1.37/1.68 'c_HOL_Otimes__class_Otimes'( X ), Y ) ), Z ), X ), ~( 'c_SEQ_OZseq'( Z,
% 1.37/1.68 X ) ) ],
% 1.37/1.68 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_SEQ_OZseq'(
% 1.37/1.68 hAPP( hAPP( 'c_COMBB'( X, X, 'tc_nat' ), hAPP(
% 1.37/1.68 'c_HOL_Otimes__class_Otimes'( X ), Y ) ), Z ), X ), ~( 'c_SEQ_OZseq'( Z,
% 1.37/1.68 X ) ) ],
% 1.37/1.68 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 1.37/1.68 'c_Series_Osummable'( hAPP( hAPP( 'c_COMBB'( X, X, 'tc_nat' ), hAPP(
% 1.37/1.68 'c_HOL_Otimes__class_Otimes'( X ), Y ) ), Z ), X ), ~(
% 1.37/1.68 'c_Series_Osummable'( Z, X ) ) ],
% 1.37/1.68 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 1.37/1.68 'c_Series_Osummable'( hAPP( hAPP( 'c_COMBB'( X, X, 'tc_nat' ), hAPP(
% 1.37/1.68 'c_HOL_Otimes__class_Otimes'( X ), Y ) ), Z ), X ), ~(
% 1.37/1.68 'c_Series_Osummable'( Z, X ) ) ],
% 1.37/1.68 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_Series_Osums'(
% 1.37/1.68 hAPP( hAPP( 'c_COMBB'( X, X, 'tc_nat' ), hAPP(
% 1.37/1.68 'c_HOL_Otimes__class_Otimes'( X ), Y ) ), Z ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), ~( 'c_Series_Osums'( Z
% 1.37/1.68 , T, X ) ) ],
% 1.37/1.68 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_Series_Osums'(
% 1.37/1.68 hAPP( hAPP( 'c_COMBB'( X, X, 'tc_nat' ), hAPP(
% 1.37/1.68 'c_HOL_Otimes__class_Otimes'( X ), Y ) ), Z ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), ~( 'c_Series_Osums'( Z
% 1.37/1.68 , T, X ) ) ],
% 1.37/1.68 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.37/1.68 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.37/1.68 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.37/1.68 'c_Power_Opower__class_Opower'( X ), Y ), T ) ) ) ],
% 1.37/1.68 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.37/1.68 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP(
% 1.37/1.68 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.37/1.68 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 1.37/1.68 [ ~( 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 1.37/1.68 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP(
% 1.37/1.68 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.37/1.68 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 1.37/1.68 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.37/1.68 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP(
% 1.37/1.68 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.37/1.68 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), Y ) ) ],
% 1.37/1.68 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.37/1.68 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP(
% 1.37/1.68 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.37/1.68 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 1.37/1.68 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.37/1.68 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.37/1.68 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.37/1.68 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 1.37/1.68 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ) ) ) ],
% 1.37/1.68 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.37/1.68 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.37/1.68 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.37/1.68 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ) ) ],
% 1.37/1.68 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.37/1.68 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.37/1.68 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), Y ), hAPP( hAPP(
% 1.37/1.68 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ) ) ],
% 1.37/1.68 [ ~( 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 1.37/1.68 'c_Power_Opower__class_Opower'( X ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.37/1.68 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.37/1.68 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.37/1.68 'c_Power_Opower__class_Opower'( X ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.37/1.68 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.37/1.68 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), hAPP(
% 1.37/1.68 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ),
% 1.37/1.68 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.37/1.68 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.37/1.68 'tc_nat' ), 'tc_nat' ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.37/1.68 'tc_nat' ), X ), Y ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y,
% 1.37/1.68 'tc_nat' ), X ) ) ) ],
% 1.37/1.68 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), ~( hBOOL(
% 1.37/1.68 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.37/1.68 'tc_nat' ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), X
% 1.37/1.68 ) ) ) ) ],
% 1.37/1.68 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ),
% 1.37/1.68 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.37/1.68 X, 'tc_nat' ), Y ) ) ) ],
% 1.37/1.68 [ ~( =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ),
% 1.37/1.68 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), hBOOL( hAPP( 'c_lessequals'(
% 1.37/1.68 X, 'tc_nat' ), Y ) ) ],
% 1.37/1.68 [ hBOOL( hAPP( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( hBOOL(
% 1.37/1.68 hAPP( 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), Z ) ) ), ~( hBOOL( hAPP(
% 1.37/1.68 X, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ) ) ) ]
% 1.37/1.68 ,
% 1.37/1.68 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.37/1.68 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), X ) ),
% 1.37/1.68 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.37/1.68 'tc_nat' ), 'tc_nat' ), X ) ) ), ~( hBOOL( hAPP(
% 1.37/1.68 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.37/1.68 'tc_nat' ), Y ) ) ) ],
% 1.37/1.68 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'(
% 1.37/1.68 hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( 'tc_nat', X ), X ),
% 1.37/1.68 'c_Power_Opower__class_Opower'( X ) ), Y ), X, 'tc_nat', X ), Z ), T,
% 1.37/1.68 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.37/1.68 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Otimes__class_Otimes'( X ), U ), hAPP( hAPP(
% 1.37/1.68 'c_Power_Opower__class_Opower'( X ), hAPP( Y, T ) ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), hAPP( 'c_Suc',
% 1.37/1.68 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ) ), X ), ~(
% 1.37/1.68 'c_Deriv_Oderiv'( Y, T, U, X ) ) ],
% 1.37/1.68 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.37/1.68 'c_Series_Osuminf'( Y, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.37/1.68 hAPP( hAPP( 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ),
% 1.37/1.68 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.37/1.68 'tc_nat' ), Z, 'tc_nat' ) ) ), 'c_Series_Osuminf'( hAPP( hAPP( 'c_COMBB'(
% 1.37/1.68 'tc_nat', X, 'tc_nat' ), Y ), hAPP( 'c_COMBC'( 'c_HOL_Oplus__class_Oplus'(
% 1.37/1.68 'tc_nat' ), 'tc_nat', 'tc_nat', 'tc_nat' ), Z ) ), X ) ) ), ~(
% 1.37/1.68 'c_Series_Osummable'( Y, X ) ) ],
% 1.37/1.68 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.37/1.68 'c_Series_Osummable'( Y, X ) ), =( 'c_Series_Osuminf'( hAPP( hAPP(
% 1.37/1.68 'c_COMBB'( 'tc_nat', X, 'tc_nat' ), Y ), hAPP( 'c_COMBC'(
% 1.37/1.68 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'tc_nat', 'tc_nat', 'tc_nat' ), Z
% 1.37/1.68 ) ), X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ),
% 1.37/1.68 'c_Series_Osuminf'( Y, X ) ), hAPP( hAPP( 'c_Finite__Set_Osetsum'(
% 1.37/1.68 'tc_nat', X ), Y ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.37/1.68 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ) ) ) ) ],
% 1.37/1.68 [ =( 'c_FFT__Mirabelle_Oroot'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 1.37/1.68 , 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ) ) ],
% 1.37/1.68 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'v_i', 'tc_nat' ), 'v_n' ) ) ]
% 1.37/1.68 ,
% 1.37/1.68 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'(
% 1.37/1.68 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), X ),
% 1.37/1.68 'c_HOL_Oinverse__class_Odivide'( X ) ), Y ), Z, X, X, X ), T, hAPP( hAPP(
% 1.37/1.68 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Otimes__class_Otimes'( X ), U ), hAPP( Z, T ) ) ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Otimes__class_Otimes'( X ), W ), hAPP( Y, T ) ) ) ), hAPP( hAPP(
% 1.37/1.68 'c_Power_Opower__class_Opower'( X ), hAPP( Z, T ) ), hAPP( 'c_Suc', hAPP(
% 1.37/1.68 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ), X ), =( hAPP( Z
% 1.37/1.68 , T ), 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Deriv_Oderiv'( Z, T, W, X
% 1.37/1.68 ) ), ~( 'c_Deriv_Oderiv'( Y, T, U, X ) ) ],
% 1.37/1.68 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'(
% 1.37/1.68 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), X ),
% 1.37/1.68 'c_HOL_Oinverse__class_Odivide'( X ) ), Y ), Z, X, X, X ), T, hAPP( hAPP(
% 1.37/1.68 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Otimes__class_Otimes'( X ), U ), hAPP( Z, T ) ) ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Otimes__class_Otimes'( X ), hAPP( Y, T ) ), W ) ) ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Otimes__class_Otimes'( X ), hAPP( Z, T ) ), hAPP( Z, T ) ) ), X )
% 1.37/1.68 , =( hAPP( Z, T ), 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Deriv_Oderiv'(
% 1.37/1.68 Z, T, W, X ) ), ~( 'c_Deriv_Oderiv'( Y, T, U, X ) ) ],
% 1.37/1.68 [ =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' )
% 1.37/1.68 , 'c_FFT__Mirabelle_Oroot'( X ) ), X ), 'c_HOL_Oone__class_Oone'(
% 1.37/1.68 'tc_Complex_Ocomplex' ) ) ],
% 1.37/1.68 [ =( 'c_SetInterval_Oord__class_OatLeastLessThan'( hAPP( 'c_Suc', X ), Y
% 1.37/1.68 , 'tc_nat' ), 'c_SetInterval_Oord__class_OgreaterThanLessThan'( X, Y,
% 1.37/1.68 'tc_nat' ) ) ],
% 1.37/1.68 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.37/1.68 'c_Finite__Set_Osetsum'( 'tc_nat', X ), hAPP(
% 1.37/1.68 'c_Power_Opower__class_Opower'( X ), Y ) ),
% 1.37/1.68 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.37/1.68 'tc_nat' ), Z, 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.37/1.68 X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.37/1.68 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), 'c_HOL_Oone__class_Oone'(
% 1.37/1.68 X ) ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ),
% 1.37/1.68 'c_HOL_Oone__class_Oone'( X ) ) ) ), =( Y, 'c_HOL_Oone__class_Oone'( X )
% 1.37/1.68 ) ],
% 1.37/1.68 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 1.37/1.68 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( hAPP( hAPP(
% 1.37/1.68 'c_COMBB'( X, X, Y ), hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ) ), T )
% 1.37/1.68 , U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_Lim_OLIM'( T, U,
% 1.37/1.68 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.37/1.68 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 1.37/1.68 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( hAPP( hAPP(
% 1.37/1.68 'c_COMBB'( X, X, Y ), hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ) ), T )
% 1.37/1.68 , U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_Lim_OLIM'( T, U,
% 1.37/1.68 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.37/1.68 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 1.37/1.68 'class_RealVector_Oreal__normed__vector'( Y ) ), 'c_Lim_OLIM'( Z, T, U, Y
% 1.37/1.68 , X ), ~( 'c_Lim_OLIM'( hAPP( hAPP( 'c_COMBB'( Y, X, Y ), Z ), hAPP(
% 1.37/1.68 'c_HOL_Oplus__class_Oplus'( Y ), T ) ), 'c_HOL_Ozero__class_Ozero'( Y ),
% 1.37/1.68 U, Y, X ) ) ],
% 1.37/1.68 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 1.37/1.68 'class_RealVector_Oreal__normed__vector'( Y ) ), 'c_Lim_OLIM'( hAPP( hAPP(
% 1.37/1.68 'c_COMBB'( Y, X, Y ), Z ), hAPP( 'c_HOL_Oplus__class_Oplus'( Y ), T ) ),
% 1.37/1.68 'c_HOL_Ozero__class_Ozero'( Y ), U, Y, X ), ~( 'c_Lim_OLIM'( Z, T, U, Y,
% 1.37/1.68 X ) ) ],
% 1.37/1.68 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.37/1.68 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( Z, T, hAPP( Z, T
% 1.37/1.68 ), X, Y ), ~( 'c_Lim_OLIM'( hAPP( hAPP( 'c_COMBB'( X, Y, X ), Z ), hAPP(
% 1.37/1.68 'c_HOL_Oplus__class_Oplus'( X ), T ) ), 'c_HOL_Ozero__class_Ozero'( X ),
% 1.37/1.68 hAPP( Z, T ), X, Y ) ) ],
% 1.37/1.68 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.37/1.68 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( hAPP( hAPP(
% 1.37/1.68 'c_COMBB'( X, Y, X ), Z ), hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ) ),
% 1.37/1.68 'c_HOL_Ozero__class_Ozero'( X ), hAPP( Z, T ), X, Y ), ~( 'c_Lim_OLIM'( Z
% 1.37/1.68 , T, hAPP( Z, T ), X, Y ) ) ],
% 1.37/1.68 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.37/1.68 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.37/1.68 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ) ) ), =( Y,
% 1.37/1.68 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.37/1.68 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.37/1.68 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.37/1.68 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ) ) ), =( Z,
% 1.37/1.68 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.37/1.68 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 1.37/1.68 'c_HOL_Ozero__class_Ozero'( X ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP(
% 1.37/1.68 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ), X ),
% 1.37/1.68 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.37/1.68 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 1.37/1.68 'c_HOL_Ozero__class_Ozero'( X ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP(
% 1.37/1.68 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), X ),
% 1.37/1.68 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.37/1.68 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.37/1.68 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.37/1.68 X ), Y ), Y ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z )
% 1.37/1.68 ) ) ) ],
% 1.37/1.68 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( hBOOL(
% 1.37/1.68 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.37/1.68 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), hAPP(
% 1.37/1.68 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ), X ),
% 1.37/1.68 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.37/1.68 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.37/1.68 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.37/1.68 'c_HOL_Ozero__class_Ozero'( X ) ) ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.37/1.68 'c_HOL_Ozero__class_Ozero'( X ) ) ), X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.37/1.68 ) ) ],
% 1.37/1.68 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( hBOOL(
% 1.37/1.68 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.37/1.68 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.37/1.68 'c_HOL_Ozero__class_Ozero'( X ) ) ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.37/1.68 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ) ) ],
% 1.37/1.68 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.37/1.68 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.37/1.68 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ), Z ) ), =( Z,
% 1.37/1.68 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.37/1.68 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.37/1.68 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.37/1.68 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ), T ) ), =( T,
% 1.37/1.68 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.37/1.68 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.37/1.68 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ) ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.37/1.68 X ), Y ), U ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.37/1.68 ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ), =( U,
% 1.37/1.68 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.37/1.68 ) ],
% 1.37/1.68 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.37/1.68 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ) ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Otimes__class_Otimes'( X ), Y ), U ) ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ), =( U,
% 1.37/1.68 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.37/1.68 ) ],
% 1.37/1.68 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP(
% 1.37/1.68 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ) ), U ), X ), W ) ),
% 1.37/1.68 ~( hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.37/1.68 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), U ), X ),
% 1.37/1.68 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), W ) ) ) ) ],
% 1.37/1.68 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP(
% 1.37/1.68 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), X ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.37/1.68 X ), U ), Z ) ), W ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.37/1.68 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.37/1.68 X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), U ) ), Z ) ), T
% 1.37/1.68 ), X ), W ) ) ) ],
% 1.37/1.68 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP(
% 1.37/1.68 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.37/1.68 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), U ) ), W ) ) ), ~( hBOOL(
% 1.37/1.68 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.37/1.68 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), Y ), X ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.37/1.68 X ), Z ), U ) ), W ) ) ) ) ],
% 1.37/1.68 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP(
% 1.37/1.68 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), X ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.37/1.68 X ), U ), Z ) ), W ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( T, X ), hAPP(
% 1.37/1.68 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Ominus__class_Ominus'( X ), U ), Y ) ), Z ) ), W ) ) ) ) ],
% 1.37/1.68 [ ~( 'class_RealVector_Oreal__field'( X ) ), =( hAPP( hAPP(
% 1.37/1.68 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ) ), W ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.37/1.68 X ), Y ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Ominus__class_Ominus'( X ), Z ), U ) ), W ) ) ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Ominus__class_Ominus'( X ), Y ), T ) ), W ) ), U ) ) ) ],
% 1.37/1.68 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP(
% 1.37/1.68 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.37/1.68 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ) ), U ), X ), W ) ),
% 1.37/1.68 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.37/1.68 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.37/1.68 X ), Y ), T ) ), U ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.37/1.68 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), W ) ) ) ) ]
% 1.37/1.68 ,
% 1.37/1.68 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP(
% 1.37/1.68 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.37/1.68 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), X ), hAPP(
% 1.37/1.68 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ) ) ), ~( hBOOL( hAPP(
% 1.37/1.68 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.37/1.68 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Ominus__class_Ominus'( X ), Y ), U ) ), Z ) ), T ), X ), W ) ) ) ]
% 1.37/1.68 ,
% 1.37/1.68 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP(
% 1.37/1.68 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.37/1.68 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), U ) ), W ) ) ), ~( hBOOL(
% 1.37/1.68 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.37/1.68 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), Y ), X )
% 1.37/1.68 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ), W ) ) ) ) ],
% 1.37/1.68 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP(
% 1.37/1.68 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.37/1.68 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), X ), hAPP(
% 1.37/1.68 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ) ) ), ~( hBOOL( hAPP(
% 1.37/1.68 'c_HOL_Oord__class_Oless'( T, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.37/1.68 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Ominus__class_Ominus'( X ), U ), Y ) ), Z ) ), W ) ) ) ) ],
% 1.37/1.68 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 1.37/1.68 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( hAPP( 'c_COMBC'(
% 1.37/1.68 hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y ),
% 1.37/1.68 'c_HOL_Otimes__class_Otimes'( X ) ), Z ), Y, X, X ), T ), U, hAPP( hAPP(
% 1.37/1.68 'c_HOL_Otimes__class_Otimes'( X ), W ), T ), Y, X ), ~( 'c_Lim_OLIM'( Z,
% 1.37/1.68 U, W, Y, X ) ) ],
% 1.37/1.68 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 1.37/1.68 'c_Limits_Otendsto'( hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'(
% 1.37/1.68 X, X ), Y ), 'c_HOL_Otimes__class_Otimes'( X ) ), Z ), Y, X, X ), T ),
% 1.37/1.68 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), T ), W, Y, X ), ~(
% 1.37/1.68 'c_Limits_Otendsto'( Z, U, W, Y, X ) ) ],
% 1.37/1.68 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_Limits_OZfun'(
% 1.37/1.68 hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y ),
% 1.37/1.68 'c_HOL_Otimes__class_Otimes'( X ) ), Z ), Y, X, X ), T ), U, Y, X ), ~(
% 1.37/1.68 'c_Limits_OZfun'( Z, U, Y, X ) ) ],
% 1.37/1.68 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_Limits_OZfun'(
% 1.37/1.68 hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y ),
% 1.37/1.68 'c_HOL_Otimes__class_Otimes'( X ) ), Z ), Y, X, X ), T ), U, Y, X ), ~(
% 1.37/1.68 'c_Limits_OZfun'( Z, U, Y, X ) ) ],
% 1.37/1.68 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 1.37/1.68 'class_RealVector_Oreal__normed__algebra'( Y ) ), 'c_Lim_OisCont'(
% 1.37/1.68 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( Y, 'tc_fun'( Y, Y ), X ),
% 1.37/1.68 'c_HOL_Otimes__class_Otimes'( Y ) ), Z ), T, X, Y, Y ), U, X, Y ), ~(
% 1.37/1.68 'c_Lim_OisCont'( T, U, X, Y ) ), ~( 'c_Lim_OisCont'( Z, U, X, Y ) ) ]
% 1.37/1.68 ,
% 1.37/1.68 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP(
% 1.37/1.68 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.37/1.68 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.37/1.68 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.37/1.68 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), X ),
% 1.37/1.68 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.37/1.68 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Limits_Otendsto'(
% 1.37/1.68 hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y ),
% 1.37/1.68 'c_HOL_Oinverse__class_Odivide'( X ) ), Z ), Y, X, X ), T ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Oinverse__class_Odivide'( X ), U ), T ), W, Y, X ), ~(
% 1.37/1.68 'c_Limits_Otendsto'( Z, U, W, Y, X ) ) ],
% 1.37/1.68 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), ~(
% 1.37/1.68 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( hAPP( 'c_COMBC'(
% 1.37/1.68 hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y ),
% 1.37/1.68 'c_HOL_Oinverse__class_Odivide'( X ) ), Z ), Y, X, X ), T ), U, hAPP(
% 1.37/1.68 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), W ), T ), Y, X ), ~(
% 1.37/1.68 'c_Lim_OLIM'( Z, U, W, Y, X ) ) ],
% 1.37/1.68 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'(
% 1.37/1.68 hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), X ),
% 1.37/1.68 'c_HOL_Oinverse__class_Odivide'( X ) ), Y ), X, X, X ), Z ), T, hAPP(
% 1.37/1.68 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), U ), Z ), X ), ~(
% 1.37/1.68 'c_Deriv_Oderiv'( Y, T, U, X ) ) ],
% 1.37/1.68 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Limits_OZfun'(
% 1.37/1.68 hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y ),
% 1.37/1.68 'c_HOL_Oinverse__class_Odivide'( X ) ), Z ), Y, X, X ), T ), U, Y, X ),
% 1.37/1.68 ~( 'c_Limits_OZfun'( Z, U, Y, X ) ) ],
% 1.37/1.68 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.37/1.68 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), hBOOL( hAPP(
% 1.37/1.68 'c_lessequals'( U, X ), T ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, X ), Y
% 1.37/1.68 ) ) ) ],
% 1.37/1.68 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.37/1.68 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), hBOOL( hAPP(
% 1.37/1.68 'c_lessequals'( Z, X ), Y ) ), ~( hBOOL( hAPP( 'c_lessequals'( U, X ), T
% 1.37/1.68 ) ) ) ],
% 1.37/1.68 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.37/1.68 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), hBOOL( hAPP(
% 1.37/1.68 'c_HOL_Oord__class_Oless'( T, X ), U ) ), ~( hBOOL( hAPP(
% 1.37/1.68 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ) ],
% 1.37/1.68 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.37/1.68 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), hBOOL( hAPP(
% 1.37/1.68 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.37/1.68 'c_HOL_Oord__class_Oless'( T, X ), U ) ) ) ],
% 1.37/1.68 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.37/1.68 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ) ],
% 1.37/1.68 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( hAPP( hAPP(
% 1.37/1.68 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ) ],
% 1.37/1.68 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.37/1.68 'c_Series_Osuminf'( hAPP( hAPP( 'c_COMBB'( X, X, 'tc_nat' ), hAPP(
% 1.37/1.68 'c_HOL_Otimes__class_Otimes'( X ), Y ) ), Z ), X ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_Series_Osuminf'( Z, X ) ) ),
% 1.37/1.68 ~( 'c_Series_Osummable'( Z, X ) ) ],
% 1.37/1.68 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.37/1.68 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_Series_Osuminf'( Z, X ) ),
% 1.37/1.68 'c_Series_Osuminf'( hAPP( hAPP( 'c_COMBB'( X, X, 'tc_nat' ), hAPP(
% 1.37/1.68 'c_HOL_Otimes__class_Otimes'( X ), Y ) ), Z ), X ) ), ~(
% 1.37/1.68 'c_Series_Osummable'( Z, X ) ) ],
% 1.37/1.68 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.37/1.68 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.37/1.68 ), Y ), Z ), X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), T ),
% 1.37/1.68 Z ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.37/1.68 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), Z ) ) ), ~( hBOOL(
% 1.37/1.68 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ), ~(
% 1.37/1.68 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.37/1.68 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.37/1.68 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.37/1.68 ), Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.37/1.68 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ), ~( hBOOL(
% 1.37/1.68 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 1.37/1.68 ) ) ],
% 1.37/1.68 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.37/1.68 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.37/1.68 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ), ~( hBOOL( hAPP(
% 1.37/1.68 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ), Y ) ) ) ]
% 1.37/1.68 ,
% 1.37/1.68 [ hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.37/1.68 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.37/1.68 [ ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.37/1.68 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ]
% 1.37/1.68 ,
% 1.37/1.68 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.37/1.68 'tc_nat' ), 'tc_nat' ), X ) ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.37/1.68 ) ) ],
% 1.37/1.68 [ ~( =( hAPP( 'c_Suc', X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ]
% 1.37/1.68 ,
% 1.37/1.68 [ ~( =( hAPP( 'c_Suc', X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ]
% 1.37/1.68 ,
% 1.37/1.68 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.37/1.68 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.37/1.68 'tc_nat' ) ) ],
% 1.37/1.68 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ),
% 1.37/1.68 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.37/1.68 'tc_nat' ) ) ],
% 1.37/1.68 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.37/1.68 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ), =( Y
% 1.37/1.68 , Z ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.37/1.68 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.37/1.68 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ), =( X
% 1.37/1.68 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y, Z ) ],
% 1.37/1.68 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.37/1.68 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ) ), =( Y
% 1.37/1.68 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, Z ) ],
% 1.37/1.68 [ ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ),
% 1.37/1.68 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 1.37/1.68 [ ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ),
% 1.37/1.68 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 1.37/1.68 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.37/1.68 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 1.37/1.68 'tc_nat' ) ), Y ) ) ],
% 1.37/1.68 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ),
% 1.37/1.68 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.37/1.68 'tc_nat' ) ) ) ],
% 1.37/1.68 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( hBOOL( hAPP(
% 1.37/1.68 'c_lessequals'( X, 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) )
% 1.37/1.68 ) ],
% 1.37/1.68 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.37/1.68 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.37/1.68 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X,
% 1.37/1.68 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.37/1.68 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.37/1.68 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X,
% 1.37/1.68 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.37/1.68 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.37/1.68 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.37/1.68 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.37/1.68 [ ~( =( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y )
% 1.37/1.68 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.37/1.68 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), X
% 1.37/1.68 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.37/1.68 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( 'c_Suc', X ) ) ) ]
% 1.37/1.68 ,
% 1.37/1.68 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( 'c_Suc', X ) ) ) ]
% 1.37/1.68 ,
% 1.37/1.68 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.37/1.68 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.37/1.68 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.37/1.68 [ hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.37/1.68 'tc_nat' ), X ) ) ],
% 1.37/1.68 [ =( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 1.37/1.68 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.37/1.68 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 1.37/1.68 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ) ],
% 1.37/1.68 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.37/1.68 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), X ) ],
% 1.37/1.68 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.37/1.68 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.37/1.68 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.37/1.68 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 1.37/1.68 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.37/1.68 ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ), Z ) ) )
% 1.37/1.68 , hBOOL( hAPP( 'c_lessequals'( T, 'tc_nat' ), Z ) ), =( Y,
% 1.37/1.68 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.37/1.68 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.37/1.68 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP(
% 1.37/1.68 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.37/1.68 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), T ) ) ],
% 1.37/1.68 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.37/1.68 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y )
% 1.37/1.68 , 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.37/1.68 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.37/1.68 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.37/1.68 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.37/1.68 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 1.37/1.68 'c_Power_Opower__class_Opower'( X ), Z ), T ) ) ) ],
% 1.37/1.68 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.37/1.68 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.37/1.68 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.37/1.68 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ) ) ],
% 1.37/1.68 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), =(
% 1.37/1.68 'c_Nat_Osemiring__1__class_Oof__nat'( hAPP( hAPP(
% 1.37/1.68 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ), X ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Ominus__class_Ominus'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'(
% 1.37/1.68 Y, X ) ), 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ), ~( hBOOL(
% 1.37/1.68 hAPP( 'c_lessequals'( Z, 'tc_nat' ), Y ) ) ) ],
% 1.37/1.68 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.37/1.68 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), hAPP( 'c_Suc', Y ) ),
% 1.37/1.68 'tc_nat' ), X ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.37/1.68 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), X ) ) ) ],
% 1.37/1.68 [ =( hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' )
% 1.37/1.68 , X ), hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), X ),
% 1.37/1.68 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.37/1.68 'tc_nat' ), 'tc_nat' ), X ) ) ) ],
% 1.37/1.68 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ),
% 1.37/1.68 'c_Series_Osummable'( hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'(
% 1.37/1.68 X, X ), 'tc_nat' ), 'c_HOL_Oinverse__class_Odivide'( X ) ), Y ), 'tc_nat'
% 1.37/1.68 , X, X ), Z ), X ), ~( 'c_Series_Osummable'( Y, X ) ) ],
% 1.37/1.68 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ),
% 1.37/1.68 'c_Series_Osummable'( hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'(
% 1.37/1.68 X, X ), 'tc_nat' ), 'c_HOL_Oinverse__class_Odivide'( X ) ), Y ), 'tc_nat'
% 1.37/1.68 , X, X ), Z ), X ), ~( 'c_Series_Osummable'( Y, X ) ) ],
% 1.37/1.68 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.37/1.68 hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), 'tc_nat' ),
% 1.37/1.68 'c_HOL_Oinverse__class_Odivide'( X ) ), Y ), 'tc_nat', X, X ), Z ), hAPP(
% 1.37/1.68 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ), ~(
% 1.37/1.68 'c_SEQ_OLIMSEQ'( Y, T, X ) ) ],
% 1.37/1.68 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_SEQ_OZseq'( hAPP(
% 1.37/1.68 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), 'tc_nat' ),
% 1.37/1.68 'c_HOL_Oinverse__class_Odivide'( X ) ), Y ), 'tc_nat', X, X ), Z ), X ),
% 1.37/1.68 ~( 'c_SEQ_OZseq'( Y, X ) ) ],
% 1.37/1.68 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_SEQ_OCauchy'(
% 1.37/1.68 hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), 'tc_nat' ),
% 1.37/1.68 'c_HOL_Oinverse__class_Odivide'( X ) ), Y ), 'tc_nat', X, X ), Z ), X ),
% 1.37/1.68 ~( 'c_SEQ_OCauchy'( Y, X ) ) ],
% 1.37/1.68 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Series_Osums'(
% 1.37/1.68 hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), 'tc_nat' ),
% 1.37/1.68 'c_HOL_Oinverse__class_Odivide'( X ) ), Y ), 'tc_nat', X, X ), Z ), hAPP(
% 1.37/1.68 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ), ~(
% 1.37/1.68 'c_Series_Osums'( Y, T, X ) ) ],
% 1.37/1.68 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Series_Osums'(
% 1.37/1.68 hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), 'tc_nat' ),
% 1.37/1.68 'c_HOL_Oinverse__class_Odivide'( X ) ), Y ), 'tc_nat', X, X ), Z ), hAPP(
% 1.37/1.68 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ), ~(
% 1.37/1.68 'c_Series_Osums'( Y, T, X ) ) ],
% 1.37/1.68 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.37/1.68 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), Z ) ),
% 1.37/1.68 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Z ) ) ) ],
% 1.37/1.68 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( 'c_Suc'
% 1.37/1.68 , X ) ), hAPP( 'c_Suc', Y ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.37/1.68 'tc_nat' ), X ), Y ) ) ],
% 1.37/1.68 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.37/1.68 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP(
% 1.37/1.68 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Z ) ) ), ~( hBOOL(
% 1.37/1.68 hAPP( 'c_HOL_Oord__class_Oless'( Z, 'tc_nat' ), X ) ) ), ~( hBOOL( hAPP(
% 1.37/1.68 'c_HOL_Oord__class_Oless'( Z, 'tc_nat' ), Y ) ) ) ],
% 1.37/1.68 [ ~( hBOOL( hAPP( X, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat'
% 1.37/1.68 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ), Y ) )
% 1.37/1.68 ) ), hBOOL( hAPP( X, Z ) ) ],
% 1.37/1.68 [ ~( hBOOL( hAPP( X, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat'
% 1.37/1.68 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ), Y ) )
% 1.37/1.68 ) ), hBOOL( hAPP( X, Z ) ) ],
% 1.37/1.68 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ) ],
% 1.37/1.68 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ) ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Z ) ) ],
% 1.37/1.68 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( 'c_Suc', X ) ), Y ) ),
% 1.37/1.68 hAPP( 'c_Suc', Z ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat'
% 1.37/1.68 ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Z )
% 1.37/1.68 ) ],
% 1.37/1.68 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), hAPP(
% 1.37/1.68 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Y ), ~( hBOOL(
% 1.37/1.68 hAPP( 'c_lessequals'( Y, 'tc_nat' ), X ) ) ) ],
% 1.37/1.68 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP(
% 1.37/1.68 'c_lessequals'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X )
% 1.37/1.68 , Z ), 'tc_nat' ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ),
% 1.37/1.68 Y ), Z ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, 'tc_nat' ), Y ) ) ),
% 1.37/1.68 ~( hBOOL( hAPP( 'c_lessequals'( Z, 'tc_nat' ), X ) ) ) ],
% 1.37/1.68 [ hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.37/1.68 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), Y ) ) ), ~( hBOOL( hAPP(
% 1.37/1.68 'c_lessequals'( X, 'tc_nat' ), Z ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y
% 1.37/1.68 , 'tc_nat' ), Z ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, 'tc_nat' ), X )
% 1.37/1.68 ) ) ],
% 1.37/1.68 [ hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.37/1.68 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), Y ) ) ), ~( hBOOL( hAPP(
% 1.37/1.68 'c_lessequals'( X, 'tc_nat' ), Z ) ) ) ],
% 1.37/1.68 [ hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.37/1.68 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.37/1.68 'c_lessequals'( Z, 'tc_nat' ), Y ) ) ) ],
% 1.37/1.68 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.37/1.68 [ ~( =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ),
% 1.37/1.68 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), Y ) ) ), ~(
% 1.37/1.68 hBOOL( hAPP( 'c_lessequals'( Y, 'tc_nat' ), Z ) ) ), ~( hBOOL( hAPP(
% 1.37/1.68 'c_lessequals'( Y, 'tc_nat' ), X ) ) ), =( X, Z ) ],
% 1.37/1.68 [ hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.37/1.68 'tc_nat' ), X ), Y ), 'tc_nat' ), X ) ) ],
% 1.37/1.68 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.37/1.68 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), hAPP(
% 1.37/1.68 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ) ],
% 1.37/1.68 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), Y ) ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Z ) ), ~( hBOOL( hAPP(
% 1.37/1.68 'c_lessequals'( Y, 'tc_nat' ), Z ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y
% 1.37/1.68 , 'tc_nat' ), X ) ) ) ],
% 1.37/1.68 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), X ), Y ) ],
% 1.37/1.68 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Y ), X ) ],
% 1.37/1.68 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_SEQ_OLIMSEQ'( hAPP(
% 1.37/1.68 hAPP( 'c_COMBB'( 'tc_nat', X, 'tc_nat' ), Y ), hAPP( 'c_COMBC'(
% 1.37/1.68 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'tc_nat', 'tc_nat', 'tc_nat' )
% 1.37/1.68 , Z ) ), T, X ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.37/1.68 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), Z ) ) ), ~(
% 1.37/1.68 'c_SEQ_OLIMSEQ'( Y, T, X ) ) ],
% 1.37/1.68 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 1.37/1.68 'c_Series_Osummable'( hAPP( hAPP( 'c_COMBB'( 'tc_nat', X, 'tc_nat' ), Y )
% 1.37/1.68 , hAPP( 'c_COMBC'( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'tc_nat',
% 1.37/1.68 'tc_nat', 'tc_nat' ), Z ) ), X ), ~( 'c_Series_Osummable'( Y, X ) ) ]
% 1.37/1.68 ,
% 1.37/1.68 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_SEQ_OLIMSEQ'( hAPP(
% 1.37/1.68 hAPP( 'c_COMBB'( 'tc_nat', X, 'tc_nat' ), Y ), hAPP( 'c_COMBC'(
% 1.37/1.68 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'tc_nat', 'tc_nat', 'tc_nat' ), Z
% 1.37/1.68 ) ), T, X ), ~( 'c_SEQ_OLIMSEQ'( Y, T, X ) ) ],
% 1.37/1.68 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_SEQ_OLIMSEQ'( Y, Z, X
% 1.37/1.68 ), ~( 'c_SEQ_OLIMSEQ'( hAPP( hAPP( 'c_COMBB'( 'tc_nat', X, 'tc_nat' ), Y
% 1.37/1.68 ), hAPP( 'c_COMBC'( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'tc_nat',
% 1.37/1.68 'tc_nat', 'tc_nat' ), T ) ), Z, X ) ) ],
% 1.37/1.68 [ ~( =( 'c_FFT__Mirabelle_Oroot'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.37/1.68 'tc_Complex_Ocomplex' ) ) ) ],
% 1.37/1.68 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'(
% 1.37/1.68 hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( 'tc_nat', X ), X ),
% 1.37/1.68 'c_Power_Opower__class_Opower'( X ) ), Y ), X, 'tc_nat', X ), hAPP(
% 1.37/1.68 'c_Suc', Z ) ), T, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.37/1.68 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.37/1.68 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Otimes__class_Otimes'( X ), U ), hAPP( hAPP(
% 1.37/1.68 'c_Power_Opower__class_Opower'( X ), hAPP( Y, T ) ), Z ) ) ), X ), ~(
% 1.37/1.68 'c_Deriv_Oderiv'( Y, T, U, X ) ) ],
% 1.37/1.68 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Lim_OLIM'(
% 1.37/1.68 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), X ),
% 1.37/1.68 'c_HOL_Oinverse__class_Odivide'( X ) ), hAPP( 'c_COMBC'( hAPP( hAPP(
% 1.37/1.68 'c_COMBB'( X, 'tc_fun'( X, X ), X ), 'c_HOL_Ominus__class_Ominus'( X ) )
% 1.37/1.68 , Y ), X, X, X ), hAPP( Y, Z ) ) ), hAPP( 'c_COMBC'(
% 1.37/1.68 'c_HOL_Ominus__class_Ominus'( X ), X, X, X ), Z ), X, X, X ), Z, T, X, X
% 1.37/1.68 ), ~( 'c_Deriv_Oderiv'( Y, Z, T, X ) ) ],
% 1.37/1.68 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'( Y
% 1.37/1.68 , Z, T, X ), ~( 'c_Lim_OLIM'( 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( X,
% 1.37/1.68 'tc_fun'( X, X ), X ), 'c_HOL_Oinverse__class_Odivide'( X ) ), hAPP(
% 1.37/1.68 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), X ),
% 1.37/1.68 'c_HOL_Ominus__class_Ominus'( X ) ), Y ), X, X, X ), hAPP( Y, Z ) ) ),
% 1.37/1.68 hAPP( 'c_COMBC'( 'c_HOL_Ominus__class_Ominus'( X ), X, X, X ), Z ), X, X
% 1.37/1.68 , X ), Z, T, X, X ) ) ],
% 1.37/1.68 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.37/1.68 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( hAPP( hAPP(
% 1.37/1.68 'c_COMBB'( X, Y, X ), Z ), hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ) ),
% 1.37/1.68 'c_HOL_Ozero__class_Ozero'( X ), hAPP( Z, T ), X, Y ), ~( 'c_Lim_OisCont'(
% 1.37/1.68 Z, T, X, Y ) ) ],
% 1.37/1.68 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.37/1.68 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OisCont'( Z, T, X, Y ),
% 1.37/1.68 ~( 'c_Lim_OLIM'( hAPP( hAPP( 'c_COMBB'( X, Y, X ), Z ), hAPP(
% 1.37/1.68 'c_HOL_Oplus__class_Oplus'( X ), T ) ), 'c_HOL_Ozero__class_Ozero'( X ),
% 1.37/1.68 hAPP( Z, T ), X, Y ) ) ],
% 1.37/1.68 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), ~(
% 1.37/1.68 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( hAPP( 'c_COMBC'(
% 1.37/1.68 hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y ),
% 1.37/1.68 'c_HOL_Oinverse__class_Odivide'( X ) ), Z ), Y, X, X ), T ), U,
% 1.37/1.68 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_Lim_OLIM'( Z, U,
% 1.37/1.68 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.37/1.68 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ),
% 1.37/1.68 'c_Deriv_Odifferentiable'( 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'(
% 1.37/1.68 X, X ), X ), 'c_HOL_Oinverse__class_Odivide'( X ) ), Y ), Z, X, X, X ), T
% 1.37/1.68 , X ), =( hAPP( Z, T ), 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 1.37/1.68 'c_Deriv_Odifferentiable'( Z, T, X ) ), ~( 'c_Deriv_Odifferentiable'( Y,
% 1.37/1.68 T, X ) ) ],
% 1.37/1.68 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Limits_Otendsto'(
% 1.37/1.68 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y ),
% 1.37/1.68 'c_HOL_Oinverse__class_Odivide'( X ) ), Z ), T, Y, X, X ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Oinverse__class_Odivide'( X ), U ), W ), V0, Y, X ), =( W,
% 1.37/1.68 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Limits_Otendsto'( T, W, V0, Y, X
% 1.37/1.68 ) ), ~( 'c_Limits_Otendsto'( Z, U, V0, Y, X ) ) ],
% 1.37/1.68 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.37/1.68 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.37/1.68 , Y ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), X ),
% 1.37/1.68 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ), ~( hBOOL(
% 1.37/1.68 hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 1.37/1.68 ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.37/1.68 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ],
% 1.37/1.68 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_Limits_OZfun'(
% 1.37/1.68 hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y ),
% 1.37/1.68 'c_HOL_Ominus__class_Ominus'( X ) ), Z ), Y, X, X ), T ), U, Y, X ), ~(
% 1.37/1.68 'c_Limits_Otendsto'( Z, T, U, Y, X ) ) ],
% 1.37/1.68 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 1.37/1.68 'c_Limits_Otendsto'( Y, Z, T, U, X ), ~( 'c_Limits_OZfun'( hAPP(
% 1.37/1.68 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), U ),
% 1.37/1.68 'c_HOL_Ominus__class_Ominus'( X ) ), Y ), U, X, X ), Z ), T, U, X ) ) ]
% 1.37/1.68 ,
% 1.37/1.68 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.37/1.68 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.37/1.68 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( hBOOL( hAPP(
% 1.37/1.68 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.37/1.68 hAPP( 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.37/1.68 ) ), 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ) ) ) ), hBOOL(
% 1.37/1.68 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.37/1.68 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.37/1.68 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.37/1.68 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.37/1.68 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), hBOOL( hAPP(
% 1.37/1.68 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.37/1.68 hAPP( 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.37/1.68 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ) ) ) ],
% 1.37/1.68 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.37/1.68 'class_Power_Opower'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y
% 1.37/1.68 , 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( hAPP( hAPP(
% 1.37/1.68 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.37/1.68 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ),
% 1.37/1.68 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.37/1.68 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.37/1.68 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.37/1.68 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( hBOOL( hAPP(
% 1.37/1.68 'c_lessequals'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.37/1.68 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), X ),
% 1.37/1.68 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.37/1.68 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( hAPP( hAPP(
% 1.37/1.68 'c_Power_Opower__class_Opower'( X ), Y ), Z ), hAPP( hAPP(
% 1.37/1.68 'c_Power_Opower__class_Opower'( X ), T ), Z ) ) ), =( Y, T ), ~( hBOOL(
% 1.37/1.68 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.37/1.68 'tc_nat' ), Z ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.37/1.68 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL( hAPP(
% 1.37/1.68 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ],
% 1.37/1.68 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_Limits_OZfun'(
% 1.37/1.68 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y ),
% 1.37/1.68 'c_HOL_Otimes__class_Otimes'( X ) ), Z ), T, Y, X, X ), U, Y, X ), ~(
% 1.37/1.68 'c_Limits_OZfun'( T, U, Y, X ) ), ~( 'c_Limits_OZfun'( Z, U, Y, X ) ) ]
% 1.37/1.68 ,
% 1.37/1.68 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ),
% 1.37/1.68 'c_Deriv_Odifferentiable'( 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'(
% 1.37/1.68 X, X ), X ), 'c_HOL_Otimes__class_Otimes'( X ) ), Y ), Z, X, X, X ), T, X
% 1.37/1.68 ), ~( 'c_Deriv_Odifferentiable'( Z, T, X ) ), ~(
% 1.37/1.68 'c_Deriv_Odifferentiable'( Y, T, X ) ) ],
% 1.37/1.68 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 1.37/1.68 'c_Limits_Otendsto'( 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X
% 1.37/1.68 ), Y ), 'c_HOL_Otimes__class_Otimes'( X ) ), Z ), T, Y, X, X ), hAPP(
% 1.37/1.68 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), W ), V0, Y, X ), ~(
% 1.37/1.68 'c_Limits_Otendsto'( T, W, V0, Y, X ) ), ~( 'c_Limits_Otendsto'( Z, U, V0
% 1.37/1.68 , Y, X ) ) ],
% 1.37/1.68 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 1.37/1.68 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBS'( hAPP(
% 1.37/1.68 hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y ), 'c_HOL_Otimes__class_Otimes'(
% 1.37/1.68 X ) ), Z ), T, Y, X, X ), U, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.37/1.68 ), W ), V0 ), Y, X ), ~( 'c_Lim_OLIM'( T, U, V0, Y, X ) ), ~(
% 1.37/1.68 'c_Lim_OLIM'( Z, U, W, Y, X ) ) ],
% 1.37/1.68 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 1.37/1.68 'c_Limits_Otendsto'( 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X
% 1.37/1.68 ), Y ), 'c_HOL_Oplus__class_Oplus'( X ) ), Z ), T, Y, X, X ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Oplus__class_Oplus'( X ), U ), W ), V0, Y, X ), ~(
% 1.37/1.68 'c_Limits_Otendsto'( T, W, V0, Y, X ) ), ~( 'c_Limits_Otendsto'( Z, U, V0
% 1.37/1.68 , Y, X ) ) ],
% 1.37/1.68 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 1.37/1.68 'class_RealVector_Oreal__normed__vector'( Y ) ), 'c_Lim_OisCont'(
% 1.37/1.68 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( Y, 'tc_fun'( Y, Y ), X ),
% 1.37/1.68 'c_HOL_Oplus__class_Oplus'( Y ) ), Z ), T, X, Y, Y ), U, X, Y ), ~(
% 1.37/1.68 'c_Lim_OisCont'( T, U, X, Y ) ), ~( 'c_Lim_OisCont'( Z, U, X, Y ) ) ]
% 1.37/1.68 ,
% 1.37/1.68 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'(
% 1.37/1.68 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), X ),
% 1.37/1.68 'c_HOL_Oplus__class_Oplus'( X ) ), Y ), Z, X, X, X ), T, hAPP( hAPP(
% 1.37/1.68 'c_HOL_Oplus__class_Oplus'( X ), U ), W ), X ), ~( 'c_Deriv_Oderiv'( Z, T
% 1.37/1.68 , W, X ) ), ~( 'c_Deriv_Oderiv'( Y, T, U, X ) ) ],
% 1.37/1.68 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_Limits_OZfun'(
% 1.37/1.68 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y ),
% 1.37/1.68 'c_HOL_Oplus__class_Oplus'( X ) ), Z ), T, Y, X, X ), U, Y, X ), ~(
% 1.37/1.68 'c_Limits_OZfun'( T, U, Y, X ) ), ~( 'c_Limits_OZfun'( Z, U, Y, X ) ) ]
% 1.37/1.68 ,
% 1.37/1.68 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.37/1.68 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBS'( hAPP(
% 1.37/1.68 hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y ), 'c_HOL_Oplus__class_Oplus'( X
% 1.37/1.68 ) ), Z ), T, Y, X, X ), U, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.37/1.68 W ), V0 ), Y, X ), ~( 'c_Lim_OLIM'( T, U, V0, Y, X ) ), ~( 'c_Lim_OLIM'(
% 1.37/1.68 Z, U, W, Y, X ) ) ],
% 1.37/1.68 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ),
% 1.37/1.68 'c_Deriv_Odifferentiable'( 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'(
% 1.37/1.68 X, X ), X ), 'c_HOL_Oplus__class_Oplus'( X ) ), Y ), Z, X, X, X ), T, X )
% 1.37/1.68 , ~( 'c_Deriv_Odifferentiable'( Z, T, X ) ), ~( 'c_Deriv_Odifferentiable'(
% 1.37/1.68 Y, T, X ) ) ],
% 1.37/1.68 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.37/1.68 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 1.37/1.68 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.37/1.68 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ),
% 1.37/1.68 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_Int_Onumber__class_Onumber__of'(
% 1.37/1.68 Y, 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.37/1.68 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.37/1.68 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.37/1.68 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.37/1.68 ), =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ),
% 1.37/1.68 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.37/1.68 , 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ) ), =(
% 1.37/1.68 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.37/1.68 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.37/1.68 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( hBOOL( hAPP(
% 1.37/1.68 'c_lessequals'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.37/1.68 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.37/1.68 X ) ) ) ) ],
% 1.37/1.68 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.37/1.68 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( hBOOL( hAPP(
% 1.37/1.68 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.37/1.68 hAPP( 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.37/1.68 ) ), Y ) ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.37/1.68 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.37/1.68 ],
% 1.37/1.68 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.37/1.68 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.37/1.68 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.37/1.68 ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.37/1.68 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( =( hAPP( hAPP(
% 1.37/1.68 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.37/1.68 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ),
% 1.37/1.68 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.37/1.68 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP(
% 1.37/1.68 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.37/1.68 hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.37/1.68 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 1.37/1.68 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.37/1.68 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 1.37/1.68 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.37/1.68 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( X ) )
% 1.37/1.68 ],
% 1.37/1.68 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 1.37/1.68 'c_Limits_Otendsto'( 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X
% 1.37/1.68 ), Y ), 'c_HOL_Ominus__class_Ominus'( X ) ), Z ), T, Y, X, X ), hAPP(
% 1.37/1.68 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), U ), W ), V0, Y, X ), ~(
% 1.37/1.68 'c_Limits_Otendsto'( T, W, V0, Y, X ) ), ~( 'c_Limits_Otendsto'( Z, U, V0
% 1.37/1.68 , Y, X ) ) ],
% 1.37/1.68 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.37/1.68 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBS'( hAPP(
% 1.37/1.68 hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y ), 'c_HOL_Ominus__class_Ominus'(
% 1.37/1.68 X ) ), Z ), T, Y, X, X ), U, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X
% 1.37/1.68 ), W ), V0 ), Y, X ), ~( 'c_Lim_OLIM'( T, U, V0, Y, X ) ), ~(
% 1.37/1.68 'c_Lim_OLIM'( Z, U, W, Y, X ) ) ],
% 1.37/1.68 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'(
% 1.37/1.68 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), X ),
% 1.37/1.68 'c_HOL_Ominus__class_Ominus'( X ) ), Y ), Z, X, X, X ), T, hAPP( hAPP(
% 1.37/1.68 'c_HOL_Ominus__class_Ominus'( X ), U ), W ), X ), ~( 'c_Deriv_Oderiv'( Z
% 1.37/1.68 , T, W, X ) ), ~( 'c_Deriv_Oderiv'( Y, T, U, X ) ) ],
% 1.37/1.68 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 1.37/1.68 'class_RealVector_Oreal__normed__vector'( Y ) ), 'c_Lim_OisCont'(
% 1.37/1.68 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( Y, 'tc_fun'( Y, Y ), X ),
% 1.37/1.68 'c_HOL_Ominus__class_Ominus'( Y ) ), Z ), T, X, Y, Y ), U, X, Y ), ~(
% 1.37/1.68 'c_Lim_OisCont'( T, U, X, Y ) ), ~( 'c_Lim_OisCont'( Z, U, X, Y ) ) ]
% 1.37/1.68 ,
% 1.37/1.68 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_Limits_OZfun'(
% 1.37/1.68 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y ),
% 1.37/1.68 'c_HOL_Ominus__class_Ominus'( X ) ), Z ), T, Y, X, X ), U, Y, X ), ~(
% 1.37/1.68 'c_Limits_OZfun'( T, U, Y, X ) ), ~( 'c_Limits_OZfun'( Z, U, Y, X ) ) ]
% 1.37/1.68 ,
% 1.37/1.68 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ),
% 1.37/1.68 'c_Deriv_Odifferentiable'( 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'(
% 1.37/1.68 X, X ), X ), 'c_HOL_Ominus__class_Ominus'( X ) ), Y ), Z, X, X, X ), T, X
% 1.37/1.68 ), ~( 'c_Deriv_Odifferentiable'( Z, T, X ) ), ~(
% 1.37/1.68 'c_Deriv_Odifferentiable'( Y, T, X ) ) ],
% 1.37/1.68 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( hAPP( hAPP(
% 1.37/1.68 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP( 'c_Finite__Set_Osetsum'(
% 1.37/1.68 Y, X ), Z ), T ) ), U ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y, X ),
% 1.37/1.68 hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y ),
% 1.37/1.68 'c_HOL_Oinverse__class_Odivide'( X ) ), Z ), Y, X, X ), U ) ), T ) ) ]
% 1.37/1.68 ,
% 1.37/1.68 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.37/1.68 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP( 'c_Finite__Set_Osetsum'(
% 1.37/1.68 Y, X ), Z ), T ) ), U ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y, X ),
% 1.37/1.68 hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y ),
% 1.37/1.68 'c_HOL_Oinverse__class_Odivide'( X ) ), Z ), Y, X, X ), U ) ), T ) ) ]
% 1.37/1.68 ,
% 1.37/1.68 [ =( hAPP( hAPP( 'c_Finite__Set_Osetsum'( 'tc_nat',
% 1.37/1.68 'tc_Complex_Ocomplex' ), hAPP( 'c_Power_Opower__class_Opower'(
% 1.37/1.68 'tc_Complex_Ocomplex' ), hAPP( hAPP( 'c_Power_Opower__class_Opower'(
% 1.37/1.68 'tc_Complex_Ocomplex' ), 'c_FFT__Mirabelle_Oroot'( X ) ), Y ) ) ),
% 1.37/1.68 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.37/1.68 'tc_nat' ), X, 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.37/1.68 'tc_Complex_Ocomplex' ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y,
% 1.37/1.68 'tc_nat' ), X ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.37/1.68 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), Y ) ) ) ],
% 1.37/1.68 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), =( hAPP( hAPP(
% 1.37/1.68 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y
% 1.37/1.68 , X ), Z ), T ) ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( U, X ), W ), V0 )
% 1.37/1.68 ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y, X ), hAPP( 'c_COMBC'( hAPP(
% 1.37/1.68 hAPP( 'c_COMBB'( 'tc_fun'( U, X ), 'tc_fun'( 'tc_fun'( U, 'tc_bool' ), X
% 1.37/1.68 ), Y ), 'c_Finite__Set_Osetsum'( U, X ) ), hAPP( 'c_COMBC'( hAPP( hAPP(
% 1.37/1.68 'c_COMBB'( 'tc_fun'( X, X ), 'tc_fun'( 'tc_fun'( U, X ), 'tc_fun'( U, X )
% 1.37/1.68 ), Y ), 'c_COMBB'( X, X, U ) ), hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X
% 1.37/1.68 ), Y ), 'c_HOL_Otimes__class_Otimes'( X ) ), Z ) ), Y, 'tc_fun'( U, X )
% 1.37/1.68 , 'tc_fun'( U, X ) ), W ) ), Y, 'tc_fun'( U, 'tc_bool' ), X ), V0 ) ), T
% 1.37/1.68 ) ) ],
% 1.37/1.68 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_SEQ_OZseq'(
% 1.37/1.68 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), 'tc_nat' ),
% 1.37/1.68 'c_HOL_Otimes__class_Otimes'( X ) ), Y ), Z, 'tc_nat', X, X ), X ), ~(
% 1.37/1.68 'c_SEQ_OZseq'( Z, X ) ), ~( 'c_SEQ_OZseq'( Y, X ) ) ],
% 1.37/1.68 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.37/1.68 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), 'tc_nat' ),
% 1.37/1.68 'c_HOL_Otimes__class_Otimes'( X ) ), Y ), Z, 'tc_nat', X, X ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X ), ~( 'c_SEQ_OLIMSEQ'( Z,
% 1.37/1.68 U, X ) ), ~( 'c_SEQ_OLIMSEQ'( Y, T, X ) ) ],
% 1.37/1.68 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OZseq'(
% 1.37/1.68 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), 'tc_nat' ),
% 1.37/1.68 'c_HOL_Oplus__class_Oplus'( X ) ), Y ), Z, 'tc_nat', X, X ), X ), ~(
% 1.37/1.68 'c_SEQ_OZseq'( Z, X ) ), ~( 'c_SEQ_OZseq'( Y, X ) ) ],
% 1.37/1.68 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.37/1.68 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), 'tc_nat' ),
% 1.37/1.68 'c_HOL_Oplus__class_Oplus'( X ) ), Y ), Z, 'tc_nat', X, X ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~( 'c_SEQ_OLIMSEQ'( Z, U
% 1.37/1.68 , X ) ), ~( 'c_SEQ_OLIMSEQ'( Y, T, X ) ) ],
% 1.37/1.68 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 1.37/1.68 'c_Series_Osummable'( 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X
% 1.37/1.68 ), 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( X ) ), Y ), Z, 'tc_nat', X, X
% 1.37/1.68 ), X ), ~( 'c_Series_Osummable'( Z, X ) ), ~( 'c_Series_Osummable'( Y, X
% 1.37/1.68 ) ) ],
% 1.37/1.68 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_Series_Osums'(
% 1.37/1.68 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), 'tc_nat' ),
% 1.37/1.68 'c_HOL_Oplus__class_Oplus'( X ) ), Y ), Z, 'tc_nat', X, X ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~( 'c_Series_Osums'( Z, U
% 1.37/1.68 , X ) ), ~( 'c_Series_Osums'( Y, T, X ) ) ],
% 1.37/1.68 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_SEQ_OZseq'(
% 1.37/1.68 hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), 'tc_nat' ),
% 1.37/1.68 'c_HOL_Otimes__class_Otimes'( X ) ), Y ), 'tc_nat', X, X ), Z ), X ), ~(
% 1.37/1.68 'c_SEQ_OZseq'( Y, X ) ) ],
% 1.37/1.68 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_SEQ_OZseq'(
% 1.37/1.68 hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), 'tc_nat' ),
% 1.37/1.68 'c_HOL_Otimes__class_Otimes'( X ) ), Y ), 'tc_nat', X, X ), Z ), X ), ~(
% 1.37/1.68 'c_SEQ_OZseq'( Y, X ) ) ],
% 1.37/1.68 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.37/1.68 hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), 'tc_nat' ),
% 1.37/1.68 'c_HOL_Otimes__class_Otimes'( X ) ), Y ), 'tc_nat', X, X ), Z ), hAPP(
% 1.37/1.68 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ), ~(
% 1.37/1.68 'c_SEQ_OLIMSEQ'( Y, T, X ) ) ],
% 1.37/1.68 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_SEQ_OCauchy'(
% 1.37/1.68 hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), 'tc_nat' ),
% 1.37/1.68 'c_HOL_Otimes__class_Otimes'( X ) ), Y ), 'tc_nat', X, X ), Z ), X ), ~(
% 1.37/1.68 'c_SEQ_OCauchy'( Y, X ) ) ],
% 1.37/1.68 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 1.37/1.68 'c_Series_Osummable'( hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'(
% 1.37/1.68 X, X ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X ) ), Y ), 'tc_nat', X
% 1.37/1.68 , X ), Z ), X ), ~( 'c_Series_Osummable'( Y, X ) ) ],
% 1.37/1.68 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 1.37/1.68 'c_Series_Osummable'( hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'(
% 1.37/1.68 X, X ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X ) ), Y ), 'tc_nat', X
% 1.37/1.68 , X ), Z ), X ), ~( 'c_Series_Osummable'( Y, X ) ) ],
% 1.37/1.68 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_Series_Osums'(
% 1.37/1.68 hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), 'tc_nat' ),
% 1.37/1.68 'c_HOL_Otimes__class_Otimes'( X ) ), Y ), 'tc_nat', X, X ), Z ), hAPP(
% 1.37/1.68 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ), ~(
% 1.37/1.68 'c_Series_Osums'( Y, T, X ) ) ],
% 1.37/1.68 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_Series_Osums'(
% 1.37/1.68 hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), 'tc_nat' ),
% 1.37/1.68 'c_HOL_Otimes__class_Otimes'( X ) ), Y ), 'tc_nat', X, X ), Z ), hAPP(
% 1.37/1.68 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ), ~(
% 1.37/1.68 'c_Series_Osums'( Y, T, X ) ) ],
% 1.37/1.68 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.37/1.68 hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), 'tc_nat' ),
% 1.37/1.68 'c_HOL_Oplus__class_Oplus'( X ) ), Y ), 'tc_nat', X, X ), Z ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~( 'c_SEQ_OLIMSEQ'( Y, T
% 1.37/1.68 , X ) ) ],
% 1.37/1.68 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_Series_Osums'(
% 1.37/1.68 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), 'tc_nat' ),
% 1.37/1.68 'c_HOL_Ominus__class_Ominus'( X ) ), Y ), Z, 'tc_nat', X, X ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Ominus__class_Ominus'( X ), T ), U ), X ), ~( 'c_Series_Osums'( Z
% 1.37/1.68 , U, X ) ), ~( 'c_Series_Osums'( Y, T, X ) ) ],
% 1.37/1.68 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OZseq'(
% 1.37/1.68 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), 'tc_nat' ),
% 1.37/1.68 'c_HOL_Ominus__class_Ominus'( X ) ), Y ), Z, 'tc_nat', X, X ), X ), ~(
% 1.37/1.68 'c_SEQ_OZseq'( Z, X ) ), ~( 'c_SEQ_OZseq'( Y, X ) ) ],
% 1.37/1.68 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 1.37/1.68 'c_Series_Osummable'( 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X
% 1.37/1.68 ), 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( X ) ), Y ), Z, 'tc_nat', X
% 1.37/1.68 , X ), X ), ~( 'c_Series_Osummable'( Z, X ) ), ~( 'c_Series_Osummable'( Y
% 1.37/1.68 , X ) ) ],
% 1.37/1.68 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.37/1.68 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), 'tc_nat' ),
% 1.37/1.68 'c_HOL_Ominus__class_Ominus'( X ) ), Y ), Z, 'tc_nat', X, X ), hAPP( hAPP(
% 1.37/1.68 'c_HOL_Ominus__class_Ominus'( X ), T ), U ), X ), ~( 'c_SEQ_OLIMSEQ'( Z,
% 1.37/1.68 U, X ) ), ~( 'c_SEQ_OLIMSEQ'( Y, T, X ) ) ],
% 1.37/1.68 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.37/1.68 hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), 'tc_nat' ),
% 1.37/1.68 'c_HOL_Ominus__class_Ominus'( X ) ), Y ), 'tc_nat', X, X ), Z ), hAPP(
% 1.37/1.68 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), T ), Z ), X ), ~(
% 1.37/1.68 'c_SEQ_OLIMSEQ'( Y, T, X ) ) ],
% 1.37/1.68 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.37/1.68 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_Finite__Set_Osetsum'(
% 1.37/1.68 'tc_nat', X ), Y ), 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T,
% 1.37/1.68 'tc_nat' ) ) ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ),
% 1.37/1.68 'c_SetInterval_Oord__class_OatLeastLessThan'( T, U, 'tc_nat' ) ) ), hAPP(
% 1.37/1.68 hAPP( 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ),
% 1.37/1.68 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, U, 'tc_nat' ) ) ), ~(
% 1.37/1.68 hBOOL( hAPP( 'c_lessequals'( T, 'tc_nat' ), U ) ) ), ~( hBOOL( hAPP(
% 1.37/1.68 'c_lessequals'( Z, 'tc_nat' ), T ) ) ) ],
% 1.37/1.68 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.37/1.68 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 'c_Finite__Set_Osetsum'(
% 1.37/1.68 'tc_nat', X ), Y ), 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T,
% 1.37/1.68 'tc_nat' ) ) ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ),
% 1.37/1.68 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, U, 'tc_nat' ) ) ), hAPP(
% 1.37/1.68 hAPP( 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ),
% 1.37/1.68 'c_SetInterval_Oord__class_OatLeastLessThan'( U, T, 'tc_nat' ) ) ), ~(
% 1.37/1.68 hBOOL( hAPP( 'c_lessequals'( U, 'tc_nat' ), T ) ) ), ~( hBOOL( hAPP(
% 1.37/1.68 'c_lessequals'( Z, 'tc_nat' ), U ) ) ) ],
% 1.37/1.68 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 1.37/1.68 'class_RealVector_Oreal__normed__algebra'( Y ) ), ~( 'class_Power_Opower'(
% 1.37/1.68 Y ) ), 'c_Lim_OisCont'( hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( Y,
% 1.37/1.68 'tc_fun'( 'tc_nat', Y ), X ), 'c_Power_Opower__class_Opower'( Y ) ), Z )
% 1.37/1.68 , X, 'tc_nat', Y ), T ), U, X, Y ), ~( 'c_Lim_OisCont'( Z, U, X, Y ) ) ]
% 1.37/1.68 ,
% 1.37/1.68 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 1.37/1.68 'class_Power_Opower'( X ) ), ~( 'class_RealVector_Ometric__space'( Y ) )
% 1.37/1.68 , 'c_Lim_OLIM'( hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'(
% 1.37/1.68 'tc_nat', X ), Y ), 'c_Power_Opower__class_Opower'( X ) ), Z ), Y,
% 1.37/1.68 'tc_nat', X ), T ), U, hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), W
% 1.37/1.68 ), T ), Y, X ), ~( 'c_Lim_OLIM'( Z, U, W, Y, X ) ) ],
% 1.37/1.68 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ),
% 1.37/1.68 'c_Deriv_Odifferentiable'( hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( X,
% 1.37/1.68 'tc_fun'( 'tc_nat', X ), X ), 'c_Power_Opower__class_Opower'( X ) ), Y )
% 1.37/1.68 , X, 'tc_nat', X ), Z ), T, X ), ~( 'c_Deriv_Odifferentiable'( Y, T, X )
% 1.37/1.68 ) ],
% 1.37/1.68 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_Series_Osums'(
% 1.37/1.68 hAPP( hAPP( 'c_COMBB'( 'tc_nat', X, 'tc_nat' ), Y ), hAPP( 'c_COMBC'(
% 1.37/1.68 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'tc_nat', 'tc_nat', 'tc_nat' ), Z
% 1.37/1.68 ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), T ), hAPP( hAPP(
% 1.37/1.68 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ),
% 1.37/1.68 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.37/1.68 'tc_nat' ), Z, 'tc_nat' ) ) ), X ), ~( 'c_Series_Osums'( Y, T, X ) ) ]
% 1.37/1.68 ,
% 1.37/1.68 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 1.37/1.68 'class_Power_Opower'( X ) ), 'c_SEQ_OLIMSEQ'( hAPP( 'c_COMBC'( hAPP( hAPP(
% 1.37/1.68 'c_COMBB'( X, 'tc_fun'( 'tc_nat', X ), 'tc_nat' ),
% 1.37/1.68 'c_Power_Opower__class_Opower'( X ) ), Y ), 'tc_nat', 'tc_nat', X ), Z )
% 1.37/1.68 , hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), T ), Z ), X ), ~(
% 1.37/1.68 'c_SEQ_OLIMSEQ'( Y, T, X ) ) ],
% 1.37/1.68 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.37/1.68 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ),
% 1.37/1.68 'c_SetInterval_Oord__class_OatLeastLessThan'( hAPP( 'c_Suc', Z ), hAPP(
% 1.37/1.68 'c_Suc', T ), 'tc_nat' ) ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( 'tc_nat'
% 1.37/1.68 , X ), hAPP( hAPP( 'c_COMBB'( 'tc_nat', X, 'tc_nat' ), Y ), 'c_Suc' ) ),
% 1.37/1.68 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, 'tc_nat' ) ) ) ],
% 1.37/1.68 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.37/1.68 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), 'v_i' ), 'tc_nat' ), 'v_n'
% 1.37/1.68 ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), 'v_n' ) )
% 1.37/1.68 ) ],
% 1.37/1.68 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.37/1.68 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), 'v_i' ), X ), 'tc_nat' ), 'v_n'
% 1.37/1.68 ) ) ],
% 1.37/1.68 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 1.37/1.68 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( hAPP( 'c_COMBC'(
% 1.37/1.68 hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y ),
% 1.37/1.68 'c_HOL_Otimes__class_Otimes'( X ) ), Z ), Y, X, X ), T ), U,
% 1.37/1.68 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_Lim_OLIM'( Z, U,
% 1.37/1.68 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.37/1.68 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 1.37/1.68 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( hAPP( 'c_COMBC'(
% 1.37/1.68 hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y ),
% 1.37/1.68 'c_HOL_Otimes__class_Otimes'( X ) ), Z ), Y, X, X ), T ), U,
% 1.37/1.68 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_Lim_OLIM'( Z, U,
% 1.37/1.68 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.37/1.68 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.37/1.68 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( Z, T, U, Y, X ),
% 1.37/1.68 ~( 'c_Lim_OLIM'( hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X,
% 1.37/1.68 X ), Y ), 'c_HOL_Ominus__class_Ominus'( X ) ), Z ), Y, X, X ), U ), T,
% 1.37/1.68 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.37/1.69 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.37/1.69 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( hAPP( 'c_COMBC'(
% 1.37/1.69 hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y ),
% 1.37/1.69 'c_HOL_Ominus__class_Ominus'( X ) ), Z ), Y, X, X ), T ), U,
% 1.37/1.69 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_Lim_OLIM'( Z, U, T, Y, X )
% 1.37/1.69 ) ],
% 1.37/1.69 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 1.37/1.69 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBS'( hAPP(
% 1.37/1.69 hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y ), 'c_HOL_Otimes__class_Otimes'(
% 1.37/1.69 X ) ), Z ), T, Y, X, X ), U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.37/1.69 'c_Lim_OLIM'( T, U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.37/1.69 'c_Lim_OLIM'( Z, U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.37/1.69 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.37/1.69 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBS'( hAPP(
% 1.37/1.69 hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y ), 'c_HOL_Oplus__class_Oplus'( X
% 1.37/1.69 ) ), Z ), T, Y, X, X ), U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.37/1.69 'c_Lim_OLIM'( T, U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.37/1.69 'c_Lim_OLIM'( Z, U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.37/1.69 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 1.37/1.69 'class_RealVector_Oreal__normed__vector'( Y ) ), 'c_Lim_OLIM'( hAPP( hAPP(
% 1.37/1.69 'c_COMBB'( Y, X, Y ), Z ), hAPP( 'c_COMBC'( 'c_HOL_Oplus__class_Oplus'( Y
% 1.37/1.69 ), Y, Y, Y ), T ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( Y ), U )
% 1.37/1.69 , T ), W, Y, X ), ~( 'c_Lim_OLIM'( Z, U, W, Y, X ) ) ],
% 1.37/1.69 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'(
% 1.37/1.69 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), X ),
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ) ), Y ), Z, X, X, X ), T, hAPP( hAPP(
% 1.37/1.69 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.37/1.69 X ), hAPP( Y, T ) ), U ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.37/1.69 , W ), hAPP( Z, T ) ) ), X ), ~( 'c_Deriv_Oderiv'( Z, T, U, X ) ), ~(
% 1.37/1.69 'c_Deriv_Oderiv'( Y, T, W, X ) ) ],
% 1.37/1.69 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'(
% 1.37/1.69 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), X ),
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ) ), Y ), Z, X, X, X ), T, hAPP( hAPP(
% 1.37/1.69 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.37/1.69 X ), U ), hAPP( Z, T ) ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.37/1.69 , W ), hAPP( Y, T ) ) ), X ), ~( 'c_Deriv_Oderiv'( Z, T, W, X ) ), ~(
% 1.37/1.69 'c_Deriv_Oderiv'( Y, T, U, X ) ) ],
% 1.37/1.69 [ =( 'c_FFT__Mirabelle_OIDFT'( X, Y, 'v_i' ), hAPP( hAPP(
% 1.37/1.69 'c_Finite__Set_Osetsum'( 'tc_nat', 'tc_Complex_Ocomplex' ), 'c_COMBS'(
% 1.37/1.69 hAPP( hAPP( 'c_COMBB'( 'tc_Complex_Ocomplex', 'tc_fun'(
% 1.37/1.69 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ), 'tc_nat' ),
% 1.37/1.69 'c_HOL_Oinverse__class_Odivide'( 'tc_Complex_Ocomplex' ) ), Y ), hAPP(
% 1.37/1.69 hAPP( 'c_COMBB'( 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat' ), hAPP(
% 1.37/1.69 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ),
% 1.37/1.69 'c_FFT__Mirabelle_Oroot'( X ) ) ), hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.37/1.69 'tc_nat' ), 'v_i' ) ), 'tc_nat', 'tc_Complex_Ocomplex',
% 1.37/1.69 'tc_Complex_Ocomplex' ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.37/1.69 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ) ) ],
% 1.37/1.69 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'( Y
% 1.37/1.69 , Z, X ), ~( 'c_SEQ_OLIMSEQ'( 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( X,
% 1.37/1.69 'tc_fun'( X, X ), 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( X ) ), Y ), T
% 1.37/1.69 , 'tc_nat', X, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.37/1.69 'c_SEQ_OLIMSEQ'( T, Z, X ) ) ],
% 1.37/1.69 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'( Y
% 1.37/1.69 , Z, X ), ~( 'c_SEQ_OLIMSEQ'( 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( X,
% 1.37/1.69 'tc_fun'( X, X ), 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'( X ) ), T ), Y
% 1.37/1.69 , 'tc_nat', X, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.37/1.69 'c_SEQ_OLIMSEQ'( T, Z, X ) ) ],
% 1.37/1.69 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), ~( =( hAPP( Y,
% 1.37/1.69 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.37/1.69 ) ), =( hAPP( hAPP( 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ),
% 1.37/1.69 'c_SetInterval_Oord__class_OatLeastLessThan'( hAPP( 'c_Suc',
% 1.37/1.69 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z, 'tc_nat' ) ), hAPP( hAPP(
% 1.37/1.69 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ),
% 1.37/1.69 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.37/1.69 'tc_nat' ), Z, 'tc_nat' ) ) ) ],
% 1.37/1.69 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.37/1.69 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ),
% 1.37/1.69 'c_SetInterval_Oord__class_OatLeastLessThan'( hAPP( hAPP(
% 1.37/1.69 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), U ), T ), 'tc_nat' ) ), hAPP(
% 1.37/1.69 hAPP( 'c_Finite__Set_Osetsum'( 'tc_nat', X ), hAPP( hAPP( 'c_COMBB'(
% 1.37/1.69 'tc_nat', X, 'tc_nat' ), Y ), hAPP( 'c_COMBC'( 'c_HOL_Oplus__class_Oplus'(
% 1.37/1.69 'tc_nat' ), 'tc_nat', 'tc_nat', 'tc_nat' ), T ) ) ),
% 1.37/1.69 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, U, 'tc_nat' ) ) ) ],
% 1.37/1.69 [ =( hAPP( hAPP( 'c_Finite__Set_Osetsum'( 'tc_nat',
% 1.37/1.69 'tc_Complex_Ocomplex' ), 'c_COMBS'( hAPP( hAPP( 'c_COMBB'(
% 1.37/1.69 'tc_Complex_Ocomplex', 'tc_fun'( 'tc_Complex_Ocomplex',
% 1.37/1.69 'tc_Complex_Ocomplex' ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'(
% 1.37/1.69 'tc_Complex_Ocomplex' ) ), hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'(
% 1.37/1.69 'tc_fun'( 'tc_nat', 'tc_Complex_Ocomplex' ), 'tc_fun'( 'tc_fun'( 'tc_nat'
% 1.37/1.69 , 'tc_bool' ), 'tc_Complex_Ocomplex' ), 'tc_nat' ),
% 1.37/1.69 'c_Finite__Set_Osetsum'( 'tc_nat', 'tc_Complex_Ocomplex' ) ), hAPP( hAPP(
% 1.37/1.69 'c_COMBB'( 'tc_Complex_Ocomplex', 'tc_fun'( 'tc_nat',
% 1.37/1.69 'tc_Complex_Ocomplex' ), 'tc_nat' ), 'c_Power_Opower__class_Opower'(
% 1.37/1.69 'tc_Complex_Ocomplex' ) ), 'c_COMBS'( 'c_COMBS'( hAPP( hAPP( 'c_COMBB'(
% 1.37/1.69 'tc_bool', 'tc_fun'( 'tc_Complex_Ocomplex', 'tc_fun'(
% 1.37/1.69 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ) ), 'tc_nat' ), 'c_HOL_OIf'(
% 1.37/1.69 'tc_Complex_Ocomplex' ) ), 'c_lessequals'( 'v_i', 'tc_nat' ) ), hAPP(
% 1.37/1.69 hAPP( 'c_COMBB'( 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat' ), hAPP(
% 1.37/1.69 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ),
% 1.37/1.69 'c_FFT__Mirabelle_Oroot'( 'v_n' ) ) ), hAPP( 'c_COMBC'(
% 1.37/1.69 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), 'tc_nat', 'tc_nat', 'tc_nat' )
% 1.37/1.69 , 'v_i' ) ), 'tc_nat', 'tc_Complex_Ocomplex', 'tc_fun'(
% 1.37/1.69 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ) ), hAPP( hAPP( 'c_COMBB'(
% 1.37/1.69 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat' ), hAPP(
% 1.37/1.69 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Oinverse__class_Odivide'( 'tc_Complex_Ocomplex' ),
% 1.37/1.69 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ) ),
% 1.37/1.69 'c_FFT__Mirabelle_Oroot'( 'v_n' ) ) ) ), hAPP(
% 1.37/1.69 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), 'v_i' ) ), 'tc_nat',
% 1.37/1.69 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ) ) ), 'tc_nat', 'tc_fun'(
% 1.37/1.69 'tc_nat', 'tc_bool' ), 'tc_Complex_Ocomplex' ),
% 1.37/1.69 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.37/1.69 'tc_nat' ), 'v_n', 'tc_nat' ) ) ), 'v_a', 'tc_nat', 'tc_Complex_Ocomplex'
% 1.37/1.69 , 'tc_Complex_Ocomplex' ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.37/1.69 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'v_n', 'tc_nat' ) ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Oplus__class_Oplus'( 'tc_Complex_Ocomplex' ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( 'tc_Complex_Ocomplex' ), hAPP( hAPP(
% 1.37/1.69 'c_Finite__Set_Osetsum'( 'tc_nat', 'tc_Complex_Ocomplex' ), hAPP(
% 1.37/1.69 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ), hAPP( hAPP(
% 1.37/1.69 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ),
% 1.37/1.69 'c_FFT__Mirabelle_Oroot'( 'v_n' ) ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), 'v_i' ), 'v_i' ) ) ) ),
% 1.37/1.69 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.37/1.69 'tc_nat' ), 'v_n', 'tc_nat' ) ) ), hAPP( 'v_a', 'v_i' ) ) ), hAPP( hAPP(
% 1.37/1.69 'c_Finite__Set_Osetsum'( 'tc_nat', 'tc_Complex_Ocomplex' ), 'c_COMBS'(
% 1.37/1.69 hAPP( hAPP( 'c_COMBB'( 'tc_Complex_Ocomplex', 'tc_fun'(
% 1.37/1.69 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ), 'tc_nat' ),
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( 'tc_Complex_Ocomplex' ) ), hAPP( 'c_COMBC'(
% 1.37/1.69 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_nat', 'tc_Complex_Ocomplex' ),
% 1.37/1.69 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_Complex_Ocomplex' ),
% 1.37/1.69 'tc_nat' ), 'c_Finite__Set_Osetsum'( 'tc_nat', 'tc_Complex_Ocomplex' ) )
% 1.37/1.69 , hAPP( hAPP( 'c_COMBB'( 'tc_Complex_Ocomplex', 'tc_fun'( 'tc_nat',
% 1.37/1.69 'tc_Complex_Ocomplex' ), 'tc_nat' ), 'c_Power_Opower__class_Opower'(
% 1.37/1.69 'tc_Complex_Ocomplex' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_nat',
% 1.37/1.69 'tc_Complex_Ocomplex', 'tc_nat' ), hAPP( 'c_Power_Opower__class_Opower'(
% 1.37/1.69 'tc_Complex_Ocomplex' ), 'c_FFT__Mirabelle_Oroot'( 'v_n' ) ) ), hAPP(
% 1.37/1.69 'c_COMBC'( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), 'tc_nat', 'tc_nat',
% 1.37/1.69 'tc_nat' ), 'v_i' ) ) ) ), 'tc_nat', 'tc_fun'( 'tc_nat', 'tc_bool' ),
% 1.37/1.69 'tc_Complex_Ocomplex' ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.37/1.69 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'v_n', 'tc_nat' ) ) ), 'v_a',
% 1.37/1.69 'tc_nat', 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ) ),
% 1.37/1.69 'c_SetInterval_Oord__class_OgreaterThanLessThan'( 'v_i', 'v_n', 'tc_nat'
% 1.37/1.69 ) ) ) ) ],
% 1.37/1.69 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.37/1.69 'c_HOL_Oplus__class_Oplus'( X ), hAPP( Y, Z ) ), hAPP( hAPP(
% 1.37/1.69 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ),
% 1.37/1.69 'c_SetInterval_Oord__class_OgreaterThanLessThan'( Z, T, 'tc_nat' ) ) ),
% 1.37/1.69 hAPP( hAPP( 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ),
% 1.37/1.69 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, 'tc_nat' ) ) ), ~(
% 1.37/1.69 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, 'tc_nat' ), T ) ) ) ],
% 1.37/1.69 [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), =(
% 1.37/1.69 'c_Series_Osuminf'( 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X )
% 1.37/1.69 , 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X ) ), Y ), hAPP(
% 1.37/1.69 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.37/1.69 'tc_nat', X, X ), X ), hAPP( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 1.37/1.69 ) ],
% 1.37/1.69 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.37/1.69 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ),
% 1.37/1.69 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.37/1.69 'tc_nat' ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T )
% 1.37/1.69 , 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.37/1.69 'c_Finite__Set_Osetsum'( 'tc_nat', X ), hAPP( hAPP( 'c_COMBB'( 'tc_nat',
% 1.37/1.69 X, 'tc_nat' ), Y ), hAPP( 'c_COMBC'( 'c_HOL_Oplus__class_Oplus'( 'tc_nat'
% 1.37/1.69 ), 'tc_nat', 'tc_nat', 'tc_nat' ), T ) ) ),
% 1.37/1.69 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.37/1.69 'tc_nat' ), Z, 'tc_nat' ) ) ), hAPP( hAPP( 'c_Finite__Set_Osetsum'(
% 1.37/1.69 'tc_nat', X ), Y ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.37/1.69 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), T, 'tc_nat' ) ) ) ) ],
% 1.37/1.69 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.37/1.69 'c_Finite__Set_Osetsum'( 'tc_nat', X ), hAPP( hAPP( 'c_COMBB'( 'tc_nat',
% 1.37/1.69 X, 'tc_nat' ), Y ), hAPP( 'c_COMBC'( 'c_HOL_Oplus__class_Oplus'( 'tc_nat'
% 1.37/1.69 ), 'tc_nat', 'tc_nat', 'tc_nat' ), Z ) ) ),
% 1.37/1.69 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.37/1.69 'tc_nat' ), T, 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X
% 1.37/1.69 ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y ),
% 1.37/1.69 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.37/1.69 'tc_nat' ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), T ), Z )
% 1.37/1.69 , 'tc_nat' ) ) ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( 'tc_nat', X ), Y )
% 1.37/1.69 , 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.37/1.69 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ) ) ) ) ],
% 1.37/1.69 [ =( 'c_FFT__Mirabelle_ODFT'( X, Y, 'v_i' ), hAPP( hAPP(
% 1.37/1.69 'c_Finite__Set_Osetsum'( 'tc_nat', 'tc_Complex_Ocomplex' ), 'c_COMBS'(
% 1.37/1.69 hAPP( hAPP( 'c_COMBB'( 'tc_Complex_Ocomplex', 'tc_fun'(
% 1.37/1.69 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ), 'tc_nat' ),
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( 'tc_Complex_Ocomplex' ) ), hAPP( hAPP(
% 1.37/1.69 'c_COMBB'( 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat' ), hAPP(
% 1.37/1.69 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ),
% 1.37/1.69 'c_FFT__Mirabelle_Oroot'( X ) ) ), hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.37/1.69 'tc_nat' ), 'v_i' ) ) ), Y, 'tc_nat', 'tc_Complex_Ocomplex',
% 1.37/1.69 'tc_Complex_Ocomplex' ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.37/1.69 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ) ) ],
% 1.37/1.69 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), =( hAPP( hAPP(
% 1.37/1.69 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 'c_Finite__Set_Osetsum'(
% 1.37/1.69 'tc_nat', X ), Y ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.37/1.69 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ) ) ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'(
% 1.37/1.69 Z, X ) ), T ) ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( 'tc_nat', X ), hAPP(
% 1.37/1.69 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), 'tc_nat' ),
% 1.37/1.69 'c_HOL_Ominus__class_Ominus'( X ) ), Y ), 'tc_nat', X, X ), T ) ),
% 1.37/1.69 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.37/1.69 'tc_nat' ), Z, 'tc_nat' ) ) ) ],
% 1.37/1.69 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), ~(
% 1.37/1.69 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.37/1.69 'c_Finite__Set_Osetsum'( 'tc_nat', X ), 'c_COMBS'( hAPP( hAPP( 'c_COMBB'(
% 1.37/1.69 X, 'tc_fun'( X, X ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X ) ),
% 1.37/1.69 hAPP( 'c_Power_Opower__class_Opower'( X ), Y ) ), hAPP( hAPP( 'c_COMBB'(
% 1.37/1.69 'tc_nat', X, 'tc_nat' ), hAPP( 'c_Power_Opower__class_Opower'( X ), Z ) )
% 1.37/1.69 , hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( 'c_Suc', T ) ) )
% 1.37/1.69 , 'tc_nat', X, X ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.37/1.69 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( 'c_Suc', T ), 'tc_nat' ) )
% 1.37/1.69 , hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), hAPP( hAPP(
% 1.37/1.69 'c_Finite__Set_Osetsum'( 'tc_nat', X ), 'c_COMBS'( hAPP( hAPP( 'c_COMBB'(
% 1.37/1.69 X, 'tc_fun'( X, X ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X ) ),
% 1.37/1.69 hAPP( 'c_Power_Opower__class_Opower'( X ), Y ) ), hAPP( hAPP( 'c_COMBB'(
% 1.37/1.69 'tc_nat', X, 'tc_nat' ), hAPP( 'c_Power_Opower__class_Opower'( X ), Z ) )
% 1.37/1.69 , hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ) ), 'tc_nat', X, X )
% 1.37/1.69 ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.37/1.69 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( 'c_Suc', T ), 'tc_nat' ) )
% 1.37/1.69 ) ) ],
% 1.37/1.69 [ ~( 'class_Power_Opower'( X ) ), ~(
% 1.37/1.69 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.37/1.69 'c_Finite__Set_Osetsum'( 'tc_nat', X ), 'c_COMBS'( hAPP( hAPP( 'c_COMBB'(
% 1.37/1.69 X, 'tc_fun'( X, X ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X ) ),
% 1.37/1.69 hAPP( 'c_Power_Opower__class_Opower'( X ), Y ) ), hAPP( hAPP( 'c_COMBB'(
% 1.37/1.69 'tc_nat', X, 'tc_nat' ), hAPP( 'c_Power_Opower__class_Opower'( X ), Z ) )
% 1.37/1.69 , hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ) ), 'tc_nat', X, X )
% 1.37/1.69 ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.37/1.69 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( 'c_Suc', T ), 'tc_nat' ) )
% 1.37/1.69 , hAPP( hAPP( 'c_Finite__Set_Osetsum'( 'tc_nat', X ), 'c_COMBS'( hAPP(
% 1.37/1.69 hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), 'tc_nat' ),
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ) ), hAPP( hAPP( 'c_COMBB'( 'tc_nat', X,
% 1.37/1.69 'tc_nat' ), hAPP( 'c_Power_Opower__class_Opower'( X ), Y ) ), hAPP(
% 1.37/1.69 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ) ) ), hAPP(
% 1.37/1.69 'c_Power_Opower__class_Opower'( X ), Z ), 'tc_nat', X, X ) ),
% 1.37/1.69 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.37/1.69 'tc_nat' ), hAPP( 'c_Suc', T ), 'tc_nat' ) ) ) ],
% 1.37/1.69 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), ~(
% 1.37/1.69 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.37/1.69 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.37/1.69 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ) ), hAPP(
% 1.37/1.69 hAPP( 'c_Power_Opower__class_Opower'( X ), T ), hAPP( 'c_Suc', Z ) ) ),
% 1.37/1.69 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Ominus__class_Ominus'( X ), Y ), T ) ), hAPP( hAPP(
% 1.37/1.69 'c_Finite__Set_Osetsum'( 'tc_nat', X ), 'c_COMBS'( hAPP( hAPP( 'c_COMBB'(
% 1.37/1.69 X, 'tc_fun'( X, X ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X ) ),
% 1.37/1.69 hAPP( 'c_Power_Opower__class_Opower'( X ), Y ) ), hAPP( hAPP( 'c_COMBB'(
% 1.37/1.69 'tc_nat', X, 'tc_nat' ), hAPP( 'c_Power_Opower__class_Opower'( X ), T ) )
% 1.37/1.69 , hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ) ), 'tc_nat', X, X )
% 1.37/1.69 ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.37/1.69 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( 'c_Suc', Z ), 'tc_nat' ) )
% 1.37/1.69 ) ) ],
% 1.37/1.69 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.37/1.69 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.37/1.69 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.37/1.69 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.37/1.69 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.37/1.69 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.37/1.69 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.37/1.69 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), Y ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.37/1.69 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 1.37/1.69 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.37/1.69 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.37/1.69 X ), Y ), U ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.37/1.69 ) ) ), =( Z, U ), =( Y, T ) ],
% 1.37/1.69 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.37/1.69 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.37/1.69 X ), Y ), U ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.37/1.69 ) ) ), =( Z, U ), =( Y, T ) ],
% 1.37/1.69 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.37/1.69 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.37/1.69 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.37/1.69 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.37/1.69 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.37/1.69 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.37/1.69 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.37/1.69 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.37/1.69 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.37/1.69 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.37/1.69 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.37/1.69 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.37/1.69 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.37/1.69 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.37/1.69 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =( hAPP( hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.37/1.69 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.37/1.69 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =( hAPP( hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.37/1.69 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.37/1.69 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =( hAPP(
% 1.37/1.69 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.37/1.69 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.37/1.69 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =( hAPP(
% 1.37/1.69 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.37/1.69 X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.37/1.69 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( hAPP(
% 1.37/1.69 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.37/1.69 'c_HOL_Ozero__class_Ozero'( X ) ) ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.37/1.69 'c_HOL_Ozero__class_Ozero'( X ) ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.37/1.69 ,
% 1.37/1.69 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.37/1.69 'c_Finite__Set_Osetsum'( Y, X ), hAPP( 'c_COMBC'( hAPP( hAPP( 'c_COMBB'(
% 1.37/1.69 'tc_fun'( Z, X ), 'tc_fun'( 'tc_fun'( Z, 'tc_bool' ), X ), Y ),
% 1.37/1.69 'c_Finite__Set_Osetsum'( Z, X ) ), T ), Y, 'tc_fun'( Z, 'tc_bool' ), X )
% 1.37/1.69 , U ) ), W ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Z, X ), hAPP(
% 1.37/1.69 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( 'tc_fun'( Y, X ), 'tc_fun'( 'tc_fun'( Y
% 1.37/1.69 , 'tc_bool' ), X ), Z ), 'c_Finite__Set_Osetsum'( Y, X ) ), 'c_COMBC'( T
% 1.37/1.69 , Y, Z, X ) ), Z, 'tc_fun'( Y, 'tc_bool' ), X ), W ) ), U ) ) ],
% 1.37/1.69 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =( hAPP( hAPP(
% 1.37/1.69 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.37/1.69 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.37/1.69 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ) ) ), =( T, hAPP(
% 1.37/1.69 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Ominus__class_Ominus'( X ), U ), Y ) ), Z ) ), W ) ) ],
% 1.37/1.69 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =( hAPP( hAPP(
% 1.37/1.69 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.37/1.69 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.37/1.69 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ) ) ), =( hAPP(
% 1.37/1.69 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Ominus__class_Ominus'( X ), Y ), U ) ), Z ) ), T ), W ) ],
% 1.37/1.69 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 1.37/1.69 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.37/1.69 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.37/1.69 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.37/1.69 X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), U ) ), Z ) ), T
% 1.37/1.69 ) ) ) ],
% 1.37/1.69 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.37/1.69 'c_Finite__Set_Osetsum'( Y, X ), 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( X,
% 1.37/1.69 'tc_fun'( X, X ), Y ), 'c_HOL_Ominus__class_Ominus'( X ) ), Z ), T, Y, X
% 1.37/1.69 , X ) ), U ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.37/1.69 'c_Finite__Set_Osetsum'( Y, X ), Z ), U ) ), hAPP( hAPP(
% 1.37/1.69 'c_Finite__Set_Osetsum'( Y, X ), T ), U ) ) ) ],
% 1.37/1.69 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), ~(
% 1.37/1.69 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.37/1.69 'c_Finite__Set_Osetsum'( 'tc_nat', X ), hAPP( 'c_COMBC'( hAPP( hAPP(
% 1.37/1.69 'c_COMBB'( X, 'tc_fun'( X, X ), 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'(
% 1.37/1.69 X ) ), 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), 'tc_nat' )
% 1.37/1.69 , 'c_HOL_Otimes__class_Otimes'( X ) ), hAPP( hAPP( 'c_COMBB'( 'tc_nat', X
% 1.37/1.69 , 'tc_nat' ), hAPP( 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) ), hAPP(
% 1.37/1.69 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ) ) ), hAPP(
% 1.37/1.69 'c_Power_Opower__class_Opower'( X ), Y ), 'tc_nat', X, X ) ), 'tc_nat', X
% 1.37/1.69 , X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), T ) ) ),
% 1.37/1.69 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.37/1.69 'tc_nat' ), T, 'tc_nat' ) ), hAPP( hAPP( 'c_Finite__Set_Osetsum'(
% 1.37/1.69 'tc_nat', X ), 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ),
% 1.37/1.69 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X ) ), hAPP(
% 1.37/1.69 'c_Power_Opower__class_Opower'( X ), Y ) ), 'c_COMBS'( hAPP( hAPP(
% 1.37/1.69 'c_COMBB'( X, 'tc_fun'( X, X ), 'tc_nat' ), 'c_HOL_Ominus__class_Ominus'(
% 1.37/1.69 X ) ), hAPP( hAPP( 'c_COMBB'( 'tc_nat', X, 'tc_nat' ), hAPP(
% 1.37/1.69 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) ), hAPP(
% 1.37/1.69 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ) ) ), hAPP( hAPP( 'c_COMBB'(
% 1.37/1.69 'tc_nat', X, 'tc_nat' ), hAPP( 'c_Power_Opower__class_Opower'( X ), Y ) )
% 1.37/1.69 , hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ) ), 'tc_nat', X, X )
% 1.37/1.69 , 'tc_nat', X, X ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.37/1.69 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), T, 'tc_nat' ) ) ) ],
% 1.37/1.69 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.37/1.69 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ), =( hAPP( hAPP(
% 1.37/1.69 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), U ) ],
% 1.37/1.69 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), =( hAPP( hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.37/1.69 'c_Finite__Set_Osetsum'( Z, X ), T ), U ) ), hAPP( hAPP(
% 1.37/1.69 'c_Finite__Set_Osetsum'( Z, X ), hAPP( hAPP( 'c_COMBB'( X, X, Z ), hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ), Y ) ), T ) ), U ) ) ],
% 1.37/1.69 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.37/1.69 'c_Finite__Set_Osetsum'( Z, X ), T ), U ) ), hAPP( hAPP(
% 1.37/1.69 'c_Finite__Set_Osetsum'( Z, X ), hAPP( hAPP( 'c_COMBB'( X, X, Z ), hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ), Y ) ), T ) ), U ) ) ],
% 1.37/1.69 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 1.37/1.69 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), =( Y, T ) ],
% 1.37/1.69 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 1.37/1.69 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 1.37/1.69 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =( hAPP(
% 1.37/1.69 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 1.37/1.69 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.37/1.69 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP(
% 1.37/1.69 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 1.37/1.69 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.37/1.69 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.37/1.69 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) )
% 1.37/1.69 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ) ],
% 1.37/1.69 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.37/1.69 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.37/1.69 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.37/1.69 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ) ],
% 1.37/1.69 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =( hAPP( hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.37/1.69 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.37/1.69 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.37/1.69 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.37/1.69 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.37/1.69 ) ) ],
% 1.37/1.69 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.37/1.69 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.37/1.69 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.37/1.69 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.37/1.69 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.37/1.69 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.37/1.69 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.37/1.69 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.37/1.69 ) ) ],
% 1.37/1.69 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.37/1.69 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.37/1.69 ) ) ],
% 1.37/1.69 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.37/1.69 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.37/1.69 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.37/1.69 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ) ) ],
% 1.37/1.69 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ), Z ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ],
% 1.37/1.69 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ) ) ],
% 1.37/1.69 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.37/1.69 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), Z ) ) ],
% 1.37/1.69 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =( hAPP( hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.37/1.69 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =( hAPP( hAPP(
% 1.37/1.69 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.37/1.69 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 1.37/1.69 'c_Power_Opower__class_Opower'( X ), Z ), T ) ) ) ],
% 1.37/1.69 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.37/1.69 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.37/1.69 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 1.37/1.69 'c_Power_Opower__class_Opower'( X ), Z ), T ) ) ) ],
% 1.37/1.69 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), =( hAPP( hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y
% 1.37/1.69 , X ), Z ), T ) ), U ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y, X ), hAPP(
% 1.37/1.69 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y ),
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ) ), Z ), Y, X, X ), U ) ), T ) ) ],
% 1.37/1.69 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y
% 1.37/1.69 , X ), Z ), T ) ), U ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y, X ), hAPP(
% 1.37/1.69 'c_COMBC'( hAPP( hAPP( 'c_COMBB'( X, 'tc_fun'( X, X ), Y ),
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ) ), Z ), Y, X, X ), U ) ), T ) ) ],
% 1.37/1.69 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( hAPP(
% 1.37/1.69 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ), Y ) ],
% 1.37/1.69 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =( hAPP(
% 1.37/1.69 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.37/1.69 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.37/1.69 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =( hAPP(
% 1.37/1.69 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.37/1.69 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.37/1.69 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.37/1.69 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ) ), =( T, U ), =( Z,
% 1.37/1.69 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.37/1.69 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.37/1.69 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 1.37/1.69 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y
% 1.37/1.69 ), 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.37/1.69 'tc_nat' ) ) ],
% 1.37/1.69 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.37/1.69 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.37/1.69 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.37/1.69 ), =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ),
% 1.37/1.69 'c_HOL_Ozero__class_Ozero'( X ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.37/1.69 , =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.37/1.69 [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~(
% 1.37/1.69 =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ),
% 1.37/1.69 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.37/1.69 ) ) ],
% 1.37/1.69 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.37/1.69 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.37/1.69 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.37/1.69 ), ~( =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ),
% 1.37/1.69 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.37/1.69 ) ) ],
% 1.37/1.69 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( hAPP(
% 1.37/1.69 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ],
% 1.37/1.69 [ ~( =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ),
% 1.37/1.69 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( =( hAPP( hAPP(
% 1.37/1.69 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), X ),
% 1.37/1.69 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y, X ) ],
% 1.37/1.69 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ), T ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), U ) ) ) ],
% 1.37/1.69 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ), Z ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ) ) ) ],
% 1.37/1.69 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ) ],
% 1.37/1.69 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 1.37/1.69 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.37/1.69 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 1.37/1.69 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.37/1.69 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =( hAPP(
% 1.37/1.69 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.37/1.69 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 1.37/1.69 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.37/1.69 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =( hAPP(
% 1.37/1.69 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.37/1.69 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.37/1.69 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.37/1.69 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.37/1.69 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ),
% 1.37/1.69 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.37/1.69 ) ) ],
% 1.37/1.69 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.37/1.69 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.37/1.69 X ) ) ],
% 1.37/1.69 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.37/1.69 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.37/1.69 X ) ) ],
% 1.37/1.69 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.37/1.69 'c_HOL_Ominus__class_Ominus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.37/1.69 , Y ) ],
% 1.37/1.69 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.37/1.69 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.37/1.69 X ) ) ],
% 1.37/1.69 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.37/1.69 X ) ), =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ),
% 1.37/1.69 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.37/1.69 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), X ),
% 1.37/1.69 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.37/1.69 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ),
% 1.37/1.69 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ) ],
% 1.37/1.69 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.37/1.69 X ) ), ~( =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) )
% 1.37/1.69 , =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.37/1.69 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 1.37/1.69 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.37/1.69 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Ominus__class_Ominus'( X ), T ), Y ) ), Z ) ), U ) ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.37/1.69 X ), T ), Z ) ), U ) ) ],
% 1.37/1.69 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.37/1.69 X ) ), =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.37/1.69 X ), Y ), T ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z )
% 1.37/1.69 ) ) ],
% 1.37/1.69 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.37/1.69 X ) ), =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.37/1.69 X ), Y ), T ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z )
% 1.37/1.69 ) ) ],
% 1.37/1.69 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.37/1.69 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.37/1.69 X ), Y ), Z ) ), Z ), Y ) ],
% 1.37/1.69 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ) ],
% 1.37/1.69 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 1.37/1.69 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.37/1.69 , 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.37/1.69 ,
% 1.37/1.69 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ) ],
% 1.37/1.69 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.37/1.69 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.37/1.69 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.37/1.69 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.37/1.69 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.37/1.69 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.37/1.69 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.37/1.69 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.37/1.69 X ), Y ), Z ) ), T ) ) ],
% 1.37/1.69 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.37/1.69 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.37/1.69 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =( hAPP( hAPP(
% 1.37/1.69 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.37/1.69 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.37/1.69 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.37/1.69 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.37/1.69 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.37/1.69 X ), Y ), Z ) ), T ) ) ],
% 1.37/1.69 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.37/1.69 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.37/1.69 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.37/1.69 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ) ],
% 1.37/1.69 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.37/1.69 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.37/1.69 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.37/1.69 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.37/1.69 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.37/1.69 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.37/1.69 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.37/1.69 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.37/1.69 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.37/1.69 ), ~( =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.37/1.69 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.37/1.69 ) ) ],
% 1.37/1.69 [ =( hAPP( hAPP( hAPP( 'c_COMBB'( X, Y, Z ), T ), U ), W ), hAPP( T,
% 1.37/1.69 hAPP( U, W ) ) ) ],
% 1.37/1.69 [ =( hAPP( hAPP( 'c_COMBC'( X, Y, Z, T ), U ), W ), hAPP( hAPP( X, W ),
% 1.37/1.69 U ) ) ],
% 1.37/1.69 [ =( hAPP( 'c_COMBS'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), hAPP( Y
% 1.37/1.69 , W ) ) ) ],
% 1.37/1.69 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.37/1.69 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ) ), =( Z, T ) ],
% 1.37/1.69 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.37/1.69 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Ominus__class_Ominus'( X ), T ), T ) ) ), =( Y, Z ) ],
% 1.37/1.69 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ),
% 1.37/1.69 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.37/1.69 'tc_nat' ) ) ],
% 1.37/1.69 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.37/1.69 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.37/1.69 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Ominus__class_Ominus'( X ), Y ), T ) ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Ominus__class_Ominus'( X ), Z ), U ) ) ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Ominus__class_Ominus'( X ), Y ), T ) ), U ) ) ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ), T ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Ominus__class_Ominus'( X ), Z ), U ) ) ) ) ],
% 1.37/1.69 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.37/1.69 'c_Finite__Set_Osetsum'( Y, X ), 'c_COMBS'( hAPP( hAPP( 'c_COMBB'( X,
% 1.37/1.69 'tc_fun'( X, X ), Y ), 'c_HOL_Oplus__class_Oplus'( X ) ), Z ), T, Y, X, X
% 1.37/1.69 ) ), U ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.37/1.69 'c_Finite__Set_Osetsum'( Y, X ), Z ), U ) ), hAPP( hAPP(
% 1.37/1.69 'c_Finite__Set_Osetsum'( Y, X ), T ), U ) ) ) ],
% 1.37/1.69 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =( hAPP( hAPP(
% 1.37/1.69 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.37/1.69 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ), U ) ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.37/1.69 X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ), U )
% 1.37/1.69 ) ],
% 1.37/1.69 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.37/1.69 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.37/1.69 X ) ) ), =( Y, Z ) ],
% 1.37/1.69 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP( hAPP(
% 1.37/1.69 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.37/1.69 X ) ) ), =( Y, Z ) ],
% 1.37/1.69 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.37/1.69 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ),
% 1.37/1.69 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 1.37/1.69 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ],
% 1.37/1.69 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ],
% 1.37/1.69 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.37/1.69 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.37/1.69 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.37/1.69 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.37/1.69 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) )
% 1.37/1.69 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Ominus__class_Ominus'( X ), Y ), T ) ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Ominus__class_Ominus'( X ), Z ), U ) ) ) ],
% 1.37/1.69 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Z ) ), Y ) ) ],
% 1.37/1.69 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 1.37/1.69 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.37/1.69 Y ) ],
% 1.37/1.69 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 1.37/1.69 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 1.37/1.69 Y ) ],
% 1.37/1.69 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.37/1.69 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.37/1.69 Y ) ],
% 1.37/1.69 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.37/1.69 X ) ), =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.37/1.69 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.37/1.69 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.37/1.69 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 1.37/1.69 Y ) ],
% 1.37/1.69 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.37/1.69 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 1.37/1.69 Y ) ],
% 1.37/1.69 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.37/1.69 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.37/1.69 Y ) ],
% 1.37/1.69 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.37/1.69 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 1.37/1.69 Y ) ],
% 1.37/1.69 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.37/1.69 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.37/1.69 X ), Y ), Z ) ), Z ), Y ) ],
% 1.37/1.69 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.37/1.69 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), 'v_i' ), 'tc_nat' ), 'v_n'
% 1.37/1.69 ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), 'v_n' ) )
% 1.37/1.69 ) ],
% 1.37/1.69 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'v_i', 'tc_nat' ), 'v_n' ) ) ]
% 1.37/1.69 ,
% 1.37/1.69 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_Complex_Ocomplex' )
% 1.37/1.69 , hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_Complex_Ocomplex' ), hAPP(
% 1.37/1.69 hAPP( 'c_Finite__Set_Osetsum'( 'tc_nat', 'tc_Complex_Ocomplex' ), hAPP(
% 1.37/1.69 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ), hAPP( hAPP(
% 1.37/1.69 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ),
% 1.37/1.69 'c_FFT__Mirabelle_Oroot'( 'v_n' ) ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), 'v_i' ), 'v_i' ) ) ) ),
% 1.37/1.69 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.37/1.69 'tc_nat' ), 'v_n', 'tc_nat' ) ) ), hAPP( 'v_a', 'v_i' ) ) ), hAPP( hAPP(
% 1.37/1.69 'c_Finite__Set_Osetsum'( 'tc_nat', 'tc_Complex_Ocomplex' ), 'c_COMBS'(
% 1.37/1.69 hAPP( hAPP( 'c_COMBB'( 'tc_Complex_Ocomplex', 'tc_fun'(
% 1.37/1.69 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ), 'tc_nat' ),
% 1.37/1.69 'c_HOL_Otimes__class_Otimes'( 'tc_Complex_Ocomplex' ) ), hAPP( 'c_COMBC'(
% 1.37/1.69 hAPP( hAPP( 'c_COMBB'( 'tc_fun'( 'tc_nat', 'tc_Complex_Ocomplex' ),
% 1.37/1.69 'tc_fun'( 'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_Complex_Ocomplex' ),
% 1.37/1.69 'tc_nat' ), 'c_Finite__Set_Osetsum'( 'tc_nat', 'tc_Complex_Ocomplex' ) )
% 1.37/1.69 , hAPP( hAPP( 'c_COMBB'( 'tc_Complex_Ocomplex', 'tc_fun'( 'tc_nat',
% 1.37/1.69 'tc_Complex_Ocomplex' ), 'tc_nat' ), 'c_Power_Opower__class_Opower'(
% 1.37/1.69 'tc_Complex_Ocomplex' ) ), hAPP( hAPP( 'c_COMBB'( 'tc_nat',
% 1.37/1.69 'tc_Complex_Ocomplex', 'tc_nat' ), hAPP( 'c_Power_Opower__class_Opower'(
% 1.37/1.69 'tc_Complex_Ocomplex' ), 'c_FFT__Mirabelle_Oroot'( 'v_n' ) ) ), hAPP(
% 1.37/1.69 'c_COMBC'( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), 'tc_nat', 'tc_nat',
% 1.37/1.69 'tc_nat' ), 'v_i' ) ) ) ), 'tc_nat', 'tc_fun'( 'tc_nat', 'tc_bool' ),
% 1.37/1.69 'tc_Complex_Ocomplex' ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.37/1.69 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'v_n', 'tc_nat' ) ) ), 'v_a',
% 1.37/1.69 'tc_nat', 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ) ),
% 1.37/1.69 'c_SetInterval_Oord__class_OgreaterThanLessThan'( 'v_i', 'v_n', 'tc_nat'
% 1.37/1.69 ) ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_Complex_Ocomplex' )
% 1.37/1.69 , hAPP( hAPP( 'c_Finite__Set_Osetsum'( 'tc_nat', 'tc_Complex_Ocomplex' )
% 1.37/1.69 , hAPP( 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ), hAPP(
% 1.37/1.69 hAPP( 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ),
% 1.37/1.69 'c_FFT__Mirabelle_Oroot'( 'v_n' ) ), hAPP( hAPP(
% 1.37/1.69 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), 'v_i' ), 'v_i' ) ) ) ),
% 1.37/1.69 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.37/1.69 'tc_nat' ), 'v_n', 'tc_nat' ) ) ), hAPP( 'v_a', 'v_i' ) ) ) ) ],
% 1.37/1.69 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 1.37/1.69 'class_Orderings_Opreorder'( Y ) ) ],
% 1.37/1.69 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 1.37/1.69 'class_Orderings_Oorder'( Y ) ) ],
% 1.37/1.69 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 1.37/1.69 ],
% 1.37/1.69 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 1.37/1.69 ) ],
% 1.37/1.69 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 1.37/1.69 ],
% 1.37/1.69 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_nat' ) ]
% 1.37/1.69 ,
% 1.37/1.69 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 1.37/1.69 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 1.37/1.69 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 1.37/1.69 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 1.37/1.69 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 1.37/1.69 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' ) ],
% 1.37/1.69 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_nat' ) ],
% 1.37/1.69 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 1.37/1.69 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 1.37/1.69 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 1.37/1.69 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_nat' ) ],
% 1.37/1.69 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 1.37/1.69 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 1.37/1.69 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 1.37/1.69 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 1.37/1.69 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 1.37/1.69 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 1.37/1.69 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ],
% 1.37/1.69 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ],
% 1.37/1.69 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_nat' ) ],
% 1.37/1.69 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 1.37/1.69 [ 'class_Ring__and__Field_Omult__mono'( 'tc_nat' ) ],
% 1.37/1.69 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 1.37/1.69 [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 1.37/1.69 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 1.37/1.69 [ 'class_Nat_Osemiring__char__0'( 'tc_nat' ) ],
% 1.37/1.69 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 1.37/1.69 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 1.37/1.69 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 1.37/1.69 [ 'class_Power_Opower'( 'tc_nat' ) ],
% 1.37/1.69 [ 'class_Int_Onumber'( 'tc_nat' ) ],
% 1.37/1.69 [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 1.37/1.69 [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 1.37/1.69 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 1.37/1.69 'tc_Int_Oint' ) ],
% 1.37/1.69 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 1.37/1.69 'tc_Int_Oint' ) ],
% 1.37/1.69 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 1.37/1.69 'tc_Int_Oint' ) ],
% 1.37/1.69 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_Int_Oint' )
% 1.37/1.69 ],
% 1.37/1.69 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'( 'tc_Int_Oint' )
% 1.37/1.69 ],
% 1.37/1.69 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_Int_Oint' ) ]
% 1.37/1.69 ,
% 1.37/1.69 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_Int_Oint' ) ]
% 1.37/1.69 ,
% 1.37/1.69 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_Int_Oint' ) ]
% 1.37/1.69 ,
% 1.37/1.69 [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_Int_Oint' ) ]
% 1.37/1.69 ,
% 1.37/1.69 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_Int_Oint' ) ]
% 1.37/1.69 ,
% 1.37/1.69 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_Int_Oint' ) ]
% 1.37/1.69 ,
% 1.37/1.69 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.37/1.69 [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.37/1.69 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Int_Oint' ) ],
% 1.37/1.69 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_Int_Oint' ) ],
% 1.37/1.69 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_Int_Oint' ) ],
% 1.37/1.69 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Int_Oint' ) ],
% 1.37/1.69 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_Int_Oint' ) ],
% 1.37/1.69 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Int_Oint' ) ],
% 1.37/1.69 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_Int_Oint' ) ],
% 1.37/1.69 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Int_Oint' ) ],
% 1.37/1.69 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Int_Oint' ) ],
% 1.37/1.69 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Int_Oint' ) ],
% 1.37/1.69 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_Int_Oint' ) ],
% 1.37/1.69 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Int_Oint' ) ],
% 1.37/1.69 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Int_Oint' ) ],
% 1.37/1.69 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Int_Oint' ) ],
% 1.37/1.69 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_Int_Oint' ) ],
% 1.37/1.69 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_Int_Oint' ) ],
% 1.37/1.69 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_Int_Oint' ) ],
% 1.37/1.69 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_Int_Oint' ) ],
% 1.37/1.69 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Int_Oint' ) ],
% 1.37/1.69 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Int_Oint' ) ],
% 1.37/1.69 [ 'class_Ring__and__Field_Omult__mono'( 'tc_Int_Oint' ) ],
% 1.37/1.69 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_Int_Oint' ) ],
% 1.37/1.69 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Int_Oint' ) ],
% 1.37/1.69 [ 'class_Ring__and__Field_Osemiring'( 'tc_Int_Oint' ) ],
% 1.37/1.69 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Int_Oint' ) ],
% 1.37/1.69 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Int_Oint' ) ],
% 1.37/1.69 [ 'class_Ring__and__Field_Oring__1'( 'tc_Int_Oint' ) ],
% 1.37/1.69 [ 'class_Ring__and__Field_Oring'( 'tc_Int_Oint' ) ],
% 1.37/1.69 [ 'class_Ring__and__Field_Oidom'( 'tc_Int_Oint' ) ],
% 1.37/1.69 [ 'class_Nat_Osemiring__char__0'( 'tc_Int_Oint' ) ],
% 1.37/1.69 [ 'class_Orderings_Opreorder'( 'tc_Int_Oint' ) ],
% 1.37/1.69 [ 'class_Orderings_Olinorder'( 'tc_Int_Oint' ) ],
% 1.37/1.69 [ 'class_Orderings_Oorder'( 'tc_Int_Oint' ) ],
% 1.37/1.69 [ 'class_Int_Oring__char__0'( 'tc_Int_Oint' ) ],
% 1.37/1.69 [ 'class_Int_Onumber__ring'( 'tc_Int_Oint' ) ],
% 1.37/1.69 [ 'class_Power_Opower'( 'tc_Int_Oint' ) ],
% 1.37/1.69 [ 'class_Int_Onumber'( 'tc_Int_Oint' ) ],
% 1.37/1.69 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 1.37/1.69 'tc_Complex_Ocomplex' ) ],
% 1.37/1.69 [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 1.37/1.69 'tc_Complex_Ocomplex' ) ],
% 1.37/1.69 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 1.37/1.69 'tc_Complex_Ocomplex' ) ],
% 1.37/1.69 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Complex_Ocomplex' )
% 1.37/1.69 ],
% 1.37/1.69 [ 'class_RealVector_Oreal__normed__algebra__1'( 'tc_Complex_Ocomplex' )
% 1.37/1.69 ],
% 1.37/1.69 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Complex_Ocomplex' )
% 1.37/1.69 ],
% 1.37/1.69 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_Complex_Ocomplex' )
% 1.37/1.69 ],
% 1.37/1.69 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Complex_Ocomplex' ) ]
% 1.37/1.69 ,
% 1.37/1.69 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_Complex_Ocomplex' ) ]
% 1.37/1.69 ,
% 1.37/1.69 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_Complex_Ocomplex' ) ]
% 1.37/1.69 ,
% 1.37/1.69 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Complex_Ocomplex' ) ]
% 1.37/1.69 ,
% 1.37/1.69 [ 'class_RealVector_Oreal__normed__vector'( 'tc_Complex_Ocomplex' ) ]
% 1.37/1.69 ,
% 1.37/1.69 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Complex_Ocomplex' ) ]
% 1.37/1.69 ,
% 1.37/1.69 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Complex_Ocomplex' ) ]
% 1.37/1.69 ,
% 1.37/1.69 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Complex_Ocomplex' ) ]
% 1.37/1.69 ,
% 1.37/1.69 [ 'class_RealVector_Oreal__normed__field'( 'tc_Complex_Ocomplex' ) ]
% 1.37/1.69 ,
% 1.37/1.69 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Complex_Ocomplex' ) ]
% 1.37/1.69 ,
% 1.37/1.69 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Complex_Ocomplex' ) ]
% 1.37/1.69 ,
% 1.37/1.69 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_Complex_Ocomplex' ) ],
% 1.37/1.69 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_Complex_Ocomplex' ) ],
% 1.37/1.69 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Complex_Ocomplex' ) ],
% 1.37/1.69 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Complex_Ocomplex' ) ],
% 1.37/1.69 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_Complex_Ocomplex' ) ],
% 1.37/1.69 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Complex_Ocomplex' ) ],
% 1.37/1.69 [ 'class_Ring__and__Field_Osemiring'( 'tc_Complex_Ocomplex' ) ],
% 1.37/1.69 [ 'class_RealVector_Ometric__space'( 'tc_Complex_Ocomplex' ) ],
% 1.37/1.69 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Complex_Ocomplex' ) ],
% 1.37/1.69 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Complex_Ocomplex' ) ],
% 1.37/1.69 [ 'class_Ring__and__Field_Oring__1'( 'tc_Complex_Ocomplex' ) ],
% 1.37/1.69 [ 'class_RealVector_Oreal__field'( 'tc_Complex_Ocomplex' ) ],
% 1.37/1.69 [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex' ) ],
% 1.37/1.69 [ 'class_Ring__and__Field_Oring'( 'tc_Complex_Ocomplex' ) ],
% 1.37/1.69 [ 'class_Ring__and__Field_Oidom'( 'tc_Complex_Ocomplex' ) ],
% 1.37/1.69 [ 'class_Nat_Osemiring__char__0'( 'tc_Complex_Ocomplex' ) ],
% 1.37/1.69 [ 'class_Int_Oring__char__0'( 'tc_Complex_Ocomplex' ) ],
% 1.37/1.69 [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ],
% 1.37/1.69 [ 'class_Power_Opower'( 'tc_Complex_Ocomplex' ) ],
% 1.37/1.69 [ 'class_Int_Onumber'( 'tc_Complex_Ocomplex' ) ],
% 1.37/1.69 [ =( hAPP( 'c_COMBS'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), hAPP( Y
% 1.37/1.69 , W ) ) ) ],
% 1.37/1.69 [ =( hAPP( hAPP( 'c_COMBC'( X, Y, Z, T ), U ), W ), hAPP( hAPP( X, W ),
% 1.37/1.69 U ) ) ],
% 1.37/1.69 [ =( hAPP( hAPP( hAPP( 'c_COMBB'( X, Y, Z ), T ), U ), W ), hAPP( T,
% 1.37/1.69 hAPP( U, W ) ) ) ],
% 1.37/1.69 [ 'c_fequal'( X, X, Y ) ],
% 1.37/1.69 [ =( X, Y ), ~( 'c_fequal'( X, Y, Z ) ) ]
% 1.37/1.69 ] .
% 1.37/1.69
% 1.37/1.69
% 1.37/1.69 percentage equality = 0.150823, percentage horn = 0.838374
% 1.37/1.69 This is a problem with some equality
% 1.37/1.69
% 1.37/1.69
% 1.37/1.69
% 1.37/1.69 Options Used:
% 1.37/1.69
% 1.37/1.69 useres = 1
% 1.37/1.69 useparamod = 1
% 1.37/1.69 useeqrefl = 1
% 1.37/1.69 useeqfact = 1
% 1.37/1.69 usefactor = 1
% 1.37/1.69 usesimpsplitting = 0
% 1.37/1.69 usesimpdemod = 5
% 1.37/1.69 usesimpres = 3
% 1.37/1.69
% 1.37/1.69 resimpinuse = 1000
% 1.37/1.69 resimpclauses = 20000
% 1.37/1.69 substype = eqrewr
% 1.37/1.69 backwardsubs = 1
% 1.37/1.69 selectoldest = 5
% 1.37/1.69
% 1.37/1.69 litorderings [0] = split
% 1.37/1.69 litorderings [1] = extend the termordering, first sorting on arguments
% 1.37/1.69
% 1.37/1.69 termordering = kbo
% 1.37/1.69
% 1.37/1.69 litapriori = 0
% 1.37/1.69 termapriori = 1
% 1.37/1.69 litaposteriori = 0
% 1.37/1.69 termaposteriori = 0
% 1.37/1.69 demodaposteriori = 0
% 1.37/1.69 ordereqreflfact = 0
% 1.37/1.69
% 1.37/1.69 litselect = negord
% 1.37/1.69
% 1.37/1.69 maxweight = 15
% 1.37/1.69 maxdepth = 30000
% 1.37/1.69 maxlength = 115
% 1.37/1.69 maxnrvars = 195
% 1.37/1.69 excuselevel = 1
% 1.37/1.69 increasemaxweight = 1
% 1.37/1.69
% 1.37/1.69 maxselected = 10000000
% 1.37/1.69 maxnrclauses = 10000000
% 1.37/1.69
% 1.37/1.69 showgenerated = 0
% 1.37/1.69 showkept = 0
% 1.37/1.69 showselected = 0
% 1.37/1.69 showdeleted = 0
% 1.37/1.69 showresimp = 1
% 1.37/1.69 showstatus = 2000
% 1.37/1.69
% 1.37/1.69 prologoutput = 1
% 1.37/1.69 nrgoals = 5000000
% 1.37/1.69 totalproof = 1
% 1.37/1.69
% 1.37/1.69 Symbols occurring in the translation:
% 1.37/1.69
% 1.37/1.69 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.37/1.69 . [1, 2] (w:1, o:148, a:1, s:1, b:0),
% 1.37/1.69 ! [4, 1] (w:0, o:73, a:1, s:1, b:0),
% 1.37/1.69 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.37/1.69 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.37/1.69 'tc_nat' [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 1.37/1.69 'c_HOL_Oplus__class_Oplus' [40, 1] (w:1, o:79, a:1, s:1, b:0),
% 1.37/1.69 hAPP [42, 2] (w:1, o:173, a:1, s:1, b:0),
% 1.37/1.69 'class_Ring__and__Field_Ofield' [46, 1] (w:1, o:80, a:1, s:1, b:0),
% 1.37/1.69 'c_HOL_Oinverse__class_Odivide' [47, 1] (w:1, o:81, a:1, s:1, b:0),
% 1.37/1.69 'c_HOL_Oone__class_Oone' [49, 1] (w:1, o:78, a:1, s:1, b:0),
% 1.37/1.69 'class_Ring__and__Field_Oordered__field' [50, 1] (w:1, o:84, a:1, s:1
% 1.37/1.69 , b:0),
% 1.37/1.69 'c_HOL_Ozero__class_Ozero' [51, 1] (w:1, o:85, a:1, s:1, b:0),
% 1.37/1.69 'c_lessequals' [52, 2] (w:1, o:174, a:1, s:1, b:0),
% 1.37/1.69 hBOOL [55, 1] (w:1, o:86, a:1, s:1, b:0),
% 1.37/1.69 'c_HOL_Oord__class_Oless' [56, 2] (w:1, o:175, a:1, s:1, b:0),
% 1.37/1.69 'class_Ring__and__Field_Odivision__by__zero' [59, 1] (w:1, o:91, a:1
% 1.37/1.69 , s:1, b:0),
% 1.37/1.69 'c_Suc' [60, 0] (w:1, o:29, a:1, s:1, b:0),
% 1.37/1.69 'c_HOL_Otimes__class_Otimes' [61, 1] (w:1, o:92, a:1, s:1, b:0),
% 1.37/1.69 'class_Int_Onumber' [65, 1] (w:1, o:93, a:1, s:1, b:0),
% 1.37/1.69 'c_Int_Onumber__class_Onumber__of' [67, 2] (w:1, o:176, a:1, s:1, b:0
% 1.37/1.69 ),
% 1.37/1.69 'class_Ring__and__Field_Oordered__semidom' [68, 1] (w:1, o:95, a:1
% 1.37/1.69 , s:1, b:0),
% 1.37/1.69 'c_Power_Opower__class_Opower' [69, 1] (w:1, o:96, a:1, s:1, b:0),
% 1.37/1.69 'class_Orderings_Oorder' [71, 1] (w:1, o:98, a:1, s:1, b:0),
% 1.37/1.69 'class_Orderings_Olinorder' [72, 1] (w:1, o:99, a:1, s:1, b:0),
% 1.37/1.69 'class_Ring__and__Field_Osemiring__1' [73, 1] (w:1, o:105, a:1, s:1
% 1.37/1.69 , b:0),
% 1.37/1.69 'c_Nat_Osemiring__1__class_Oof__nat' [74, 2] (w:1, o:177, a:1, s:1
% 1.37/1.69 , b:0),
% 1.37/1.69 'class_RealVector_Oreal__normed__field' [77, 1] (w:1, o:106, a:1, s:1
% 1.37/1.69 , b:0),
% 1.37/1.69 'c_Lim_OisCont' [79, 4] (w:1, o:193, a:1, s:1, b:0),
% 1.37/1.69 'c_Deriv_Oderiv' [81, 4] (w:1, o:195, a:1, s:1, b:0),
% 1.37/1.69 'c_HOL_Ominus__class_Ominus' [83, 1] (w:1, o:107, a:1, s:1, b:0),
% 3.47/3.81 'class_RealVector_Oreal__normed__vector' [85, 1] (w:1, o:108, a:1, s:
% 3.47/3.81 1, b:0),
% 3.47/3.81 'c_Series_Osummable' [86, 2] (w:1, o:178, a:1, s:1, b:0),
% 3.47/3.81 'c_Series_Osums' [87, 3] (w:1, o:184, a:1, s:1, b:0),
% 3.47/3.81 'c_COMBC' [88, 4] (w:1, o:194, a:1, s:1, b:0),
% 3.47/3.81 'class_Orderings_Opreorder' [91, 1] (w:1, o:109, a:1, s:1, b:0),
% 3.47/3.81 'c_Deriv_Odifferentiable' [92, 3] (w:1, o:186, a:1, s:1, b:0),
% 3.47/3.81 'class_Ring__and__Field_Oordered__idom' [94, 1] (w:1, o:110, a:1, s:1
% 3.47/3.81 , b:0),
% 3.47/3.81 'class_RealVector_Ometric__space' [96, 1] (w:1, o:111, a:1, s:1, b:0)
% 3.47/3.81 ,
% 3.47/3.81 'class_RealVector_Oreal__normed__algebra__1' [97, 1] (w:1, o:112, a:1
% 3.47/3.81 , s:1, b:0),
% 3.47/3.81 'c_Lim_OLIM' [100, 5] (w:1, o:197, a:1, s:1, b:0),
% 3.47/3.81 'c_SEQ_OLIMSEQ' [102, 3] (w:1, o:187, a:1, s:1, b:0),
% 3.47/3.81 'v_n' [105, 0] (w:1, o:53, a:1, s:1, b:0),
% 3.47/3.81 'class_Nat_Osemiring__char__0' [106, 1] (w:1, o:97, a:1, s:1, b:0),
% 3.47/3.81 'c_SEQ_OCauchy' [107, 2] (w:1, o:179, a:1, s:1, b:0),
% 3.47/3.81 'c_COMBB' [109, 3] (w:1, o:185, a:1, s:1, b:0),
% 3.47/3.81 'c_Series_Osuminf' [111, 2] (w:1, o:180, a:1, s:1, b:0),
% 3.47/3.81 'tc_fun' [112, 2] (w:1, o:181, a:1, s:1, b:0),
% 3.47/3.81 'tc_Complex_Ocomplex' [115, 0] (w:1, o:59, a:1, s:1, b:0),
% 3.47/3.81 'c_Finite__Set_Osetsum' [116, 2] (w:1, o:182, a:1, s:1, b:0),
% 3.47/3.81 'c_FFT__Mirabelle_Oroot' [117, 1] (w:1, o:113, a:1, s:1, b:0),
% 3.47/3.81 'c_SetInterval_Oord__class_OatLeastLessThan' [118, 3] (w:1, o:188, a:
% 3.47/3.81 1, s:1, b:0),
% 3.47/3.81 'c_COMBS' [120, 5] (w:1, o:198, a:1, s:1, b:0),
% 3.47/3.81 'class_Int_Oring__char__0' [121, 1] (w:1, o:114, a:1, s:1, b:0),
% 3.47/3.81 'class_Int_Onumber__ring' [122, 1] (w:1, o:115, a:1, s:1, b:0),
% 3.47/3.81 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [123, 1]
% 3.47/3.81 (w:1, o:116, a:1, s:1, b:0),
% 3.47/3.81 'class_Ring__and__Field_Ozero__neq__one' [124, 1] (w:1, o:117, a:1
% 3.47/3.81 , s:1, b:0),
% 3.47/3.81 'class_OrderedGroup_Omonoid__mult' [125, 1] (w:1, o:119, a:1, s:1, b:
% 3.47/3.81 0),
% 3.47/3.81 'class_RealVector_Oreal__normed__algebra' [127, 1] (w:1, o:120, a:1
% 3.47/3.81 , s:1, b:0),
% 3.47/3.81 'c_SEQ_OZseq' [128, 2] (w:1, o:183, a:1, s:1, b:0),
% 3.47/3.81 'class_OrderedGroup_Ocomm__monoid__add' [129, 1] (w:1, o:121, a:1, s:
% 3.47/3.81 1, b:0),
% 3.47/3.81 'class_Ring__and__Field_Oordered__ring__strict' [130, 1] (w:1, o:94
% 3.47/3.81 , a:1, s:1, b:0),
% 3.47/3.81 'class_Ring__and__Field_Oordered__semiring__strict' [131, 1] (w:1, o:
% 3.47/3.81 122, a:1, s:1, b:0),
% 3.47/3.81 'class_Ring__and__Field_Oordered__comm__semiring__strict' [132, 1]
% 3.47/3.81 (w:1, o:123, a:1, s:1, b:0),
% 3.47/3.81 'class_Ring__and__Field_Omult__mono1' [133, 1] (w:1, o:124, a:1, s:1
% 3.47/3.81 , b:0),
% 3.47/3.81 'class_Ring__and__Field_Omult__mono' [134, 1] (w:1, o:125, a:1, s:1
% 3.47/3.81 , b:0),
% 3.47/3.81 'class_Ring__and__Field_Opordered__ring' [135, 1] (w:1, o:127, a:1
% 3.47/3.81 , s:1, b:0),
% 3.47/3.81 'class_Ring__and__Field_Opordered__cancel__semiring' [136, 1] (w:1
% 3.47/3.81 , o:128, a:1, s:1, b:0),
% 3.47/3.81 'class_Ring__and__Field_Opordered__semiring' [137, 1] (w:1, o:129, a:
% 3.47/3.81 1, s:1, b:0),
% 3.47/3.81 'class_OrderedGroup_Opordered__comm__monoid__add' [138, 1] (w:1, o:
% 3.47/3.81 130, a:1, s:1, b:0),
% 3.47/3.81 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [139, 1]
% 3.47/3.81 (w:1, o:131, a:1, s:1, b:0),
% 3.47/3.81 'class_OrderedGroup_Olordered__ab__group__add' [140, 1] (w:1, o:118
% 3.47/3.81 , a:1, s:1, b:0),
% 3.47/3.81 'class_Ring__and__Field_Oordered__semiring' [141, 1] (w:1, o:126, a:1
% 3.47/3.81 , s:1, b:0),
% 3.47/3.81 'class_OrderedGroup_Ocomm__monoid__mult' [142, 1] (w:1, o:132, a:1
% 3.47/3.81 , s:1, b:0),
% 3.47/3.81 'class_Ring__and__Field_Ocomm__semiring__1' [143, 1] (w:1, o:89, a:1
% 3.47/3.81 , s:1, b:0),
% 3.47/3.81 'class_OrderedGroup_Opordered__ab__group__add' [144, 1] (w:1, o:133
% 3.47/3.81 , a:1, s:1, b:0),
% 3.47/3.81 'class_OrderedGroup_Opordered__ab__semigroup__add' [145, 1] (w:1, o:
% 3.47/3.81 134, a:1, s:1, b:0),
% 3.47/3.81 'c_Limits_OZfun' [150, 4] (w:1, o:196, a:1, s:1, b:0),
% 3.47/3.81 'c_Limits_Otendsto' [151, 5] (w:1, o:199, a:1, s:1, b:0),
% 3.47/3.81 'class_Ring__and__Field_Osemiring' [152, 1] (w:1, o:135, a:1, s:1, b:
% 3.47/3.81 0),
% 3.47/3.81 'class_Ring__and__Field_Oring' [153, 1] (w:1, o:100, a:1, s:1, b:0),
% 3.47/3.81
% 3.47/3.81 'class_Ring__and__Field_Ono__zero__divisors' [154, 1] (w:1, o:83, a:1
% 21.53/21.86 , s:1, b:0),
% 21.53/21.86 'class_Ring__and__Field_Omult__zero' [155, 1] (w:1, o:82, a:1, s:1
% 21.53/21.86 , b:0),
% 21.53/21.86 'class_Power_Opower' [156, 1] (w:1, o:144, a:1, s:1, b:0),
% 21.53/21.86 'class_Ring__and__Field_Osemiring__0' [157, 1] (w:1, o:104, a:1, s:1
% 21.53/21.86 , b:0),
% 21.53/21.86 'v_i' [159, 0] (w:1, o:63, a:1, s:1, b:0),
% 21.53/21.86 'c_SetInterval_Oord__class_OgreaterThanLessThan' [161, 3] (w:1, o:189
% 21.53/21.86 , a:1, s:1, b:0),
% 21.53/21.86 'class_RealVector_Oreal__field' [162, 1] (w:1, o:145, a:1, s:1, b:0)
% 21.53/21.86 ,
% 21.53/21.86 'class_Ring__and__Field_Oring__1' [166, 1] (w:1, o:101, a:1, s:1, b:0
% 21.53/21.86 ),
% 21.53/21.86 'tc_bool' [169, 0] (w:1, o:66, a:1, s:1, b:0),
% 21.53/21.86 'class_OrderedGroup_Oab__group__add' [170, 1] (w:1, o:136, a:1, s:1
% 21.53/21.86 , b:0),
% 21.53/21.86 'c_FFT__Mirabelle_OIDFT' [171, 3] (w:1, o:190, a:1, s:1, b:0),
% 21.53/21.86 'c_HOL_OIf' [172, 1] (w:1, o:146, a:1, s:1, b:0),
% 21.53/21.86 'v_a' [173, 0] (w:1, o:67, a:1, s:1, b:0),
% 21.53/21.86 'c_FFT__Mirabelle_ODFT' [174, 3] (w:1, o:191, a:1, s:1, b:0),
% 21.53/21.86 'class_Ring__and__Field_Ocomm__semiring__0' [175, 1] (w:1, o:88, a:1
% 21.53/21.86 , s:1, b:0),
% 21.53/21.86 'class_Ring__and__Field_Ocomm__ring' [176, 1] (w:1, o:87, a:1, s:1
% 21.53/21.86 , b:0),
% 21.53/21.86 'class_Ring__and__Field_Oidom' [177, 1] (w:1, o:147, a:1, s:1, b:0),
% 21.53/21.86
% 21.53/21.86 'class_Ring__and__Field_Oring__no__zero__divisors' [178, 1] (w:1, o:
% 21.53/21.86 102, a:1, s:1, b:0),
% 21.53/21.86 'class_OrderedGroup_Ocancel__semigroup__add' [179, 1] (w:1, o:137, a:
% 21.53/21.86 1, s:1, b:0),
% 21.53/21.86 'class_OrderedGroup_Ocancel__ab__semigroup__add' [180, 1] (w:1, o:138
% 21.53/21.86 , a:1, s:1, b:0),
% 21.53/21.86 'class_Ring__and__Field_Ocomm__semiring' [181, 1] (w:1, o:90, a:1, s:
% 21.53/21.86 1, b:0),
% 21.53/21.86 'class_OrderedGroup_Oab__semigroup__mult' [188, 1] (w:1, o:139, a:1
% 21.53/21.86 , s:1, b:0),
% 21.53/21.86 'class_OrderedGroup_Oab__semigroup__idem__mult' [189, 1] (w:1, o:140
% 21.53/21.86 , a:1, s:1, b:0),
% 21.53/21.86 'class_Ring__and__Field_Oring__1__no__zero__divisors' [190, 1] (w:1
% 21.53/21.86 , o:103, a:1, s:1, b:0),
% 21.53/21.86 'class_OrderedGroup_Ogroup__add' [191, 1] (w:1, o:141, a:1, s:1, b:0)
% 21.53/21.86 ,
% 21.53/21.86 'class_OrderedGroup_Oab__semigroup__add' [192, 1] (w:1, o:142, a:1
% 21.53/21.86 , s:1, b:0),
% 21.53/21.86 'class_OrderedGroup_Omonoid__add' [195, 1] (w:1, o:143, a:1, s:1, b:0
% 21.53/21.86 ),
% 21.53/21.86 'tc_Int_Oint' [198, 0] (w:1, o:72, a:1, s:1, b:0),
% 21.53/21.86 'c_fequal' [199, 3] (w:1, o:192, a:1, s:1, b:0).
% 21.53/21.86
% 21.53/21.86
% 21.53/21.86 Starting Search:
% 21.53/21.86
% 21.53/21.86 Resimplifying inuse:
% 21.53/21.86 Done
% 21.53/21.86
% 21.53/21.86
% 21.53/21.86 Intermediate Status:
% 21.53/21.86 Generated: 4242
% 21.53/21.86 Kept: 2032
% 21.53/21.86 Inuse: 89
% 21.53/21.86 Deleted: 2
% 21.53/21.86 Deletedinuse: 0
% 21.53/21.86
% 21.53/21.86 Resimplifying inuse:
% 21.53/21.86 Done
% 21.53/21.86
% 21.53/21.86 Resimplifying inuse:
% 21.53/21.86 Done
% 21.53/21.86
% 21.53/21.86
% 21.53/21.86 Intermediate Status:
% 21.53/21.86 Generated: 10827
% 21.53/21.86 Kept: 4032
% 21.53/21.86 Inuse: 173
% 21.53/21.86 Deleted: 9
% 21.53/21.86 Deletedinuse: 0
% 21.53/21.86
% 21.53/21.86 Resimplifying inuse:
% 21.53/21.86 Done
% 21.53/21.86
% 21.53/21.86
% 21.53/21.86 Intermediate Status:
% 21.53/21.86 Generated: 17793
% 21.53/21.86 Kept: 6718
% 21.53/21.86 Inuse: 192
% 21.53/21.86 Deleted: 9
% 21.53/21.86 Deletedinuse: 0
% 21.53/21.86
% 21.53/21.86 Resimplifying inuse:
% 21.53/21.86 Done
% 21.53/21.86
% 21.53/21.86 Resimplifying inuse:
% 21.53/21.86 Done
% 21.53/21.86
% 21.53/21.86
% 21.53/21.86 Intermediate Status:
% 21.53/21.86 Generated: 29327
% 21.53/21.86 Kept: 9193
% 21.53/21.86 Inuse: 228
% 21.53/21.86 Deleted: 13
% 21.53/21.86 Deletedinuse: 0
% 21.53/21.86
% 21.53/21.86 Resimplifying inuse:
% 21.53/21.86 Done
% 21.53/21.86
% 21.53/21.86 Resimplifying inuse:
% 21.53/21.86 Done
% 21.53/21.86
% 21.53/21.86
% 21.53/21.86 Intermediate Status:
% 21.53/21.86 Generated: 44415
% 21.53/21.86 Kept: 12257
% 21.53/21.86 Inuse: 291
% 21.53/21.86 Deleted: 15
% 21.53/21.86 Deletedinuse: 0
% 21.53/21.86
% 21.53/21.86 Resimplifying inuse:
% 21.53/21.86 Done
% 21.53/21.86
% 21.53/21.86 Resimplifying inuse:
% 21.53/21.86 Done
% 21.53/21.86
% 21.53/21.86
% 21.53/21.86 Intermediate Status:
% 21.53/21.86 Generated: 50594
% 21.53/21.86 Kept: 14494
% 21.53/21.86 Inuse: 333
% 21.53/21.86 Deleted: 23
% 21.53/21.86 Deletedinuse: 0
% 21.53/21.86
% 21.53/21.86 Resimplifying inuse:
% 21.53/21.86 Done
% 21.53/21.86
% 21.53/21.86
% 21.53/21.86 Intermediate Status:
% 21.53/21.86 Generated: 61055
% 21.53/21.86 Kept: 17524
% 21.53/21.86 Inuse: 368
% 21.53/21.86 Deleted: 23
% 21.53/21.86 Deletedinuse: 0
% 21.53/21.86
% 21.53/21.86 Resimplifying inuse:
% 21.53/21.86 Done
% 21.53/21.86
% 21.53/21.86 Resimplifying inuse:
% 21.53/21.86 Done
% 21.53/21.86
% 21.53/21.86
% 21.53/21.86 Intermediate Status:
% 21.53/21.86 Generated: 69583
% 21.53/21.86 Kept: 19623
% 21.53/21.86 Inuse: 403
% 21.53/21.86 Deleted: 28
% 21.53/21.86 Deletedinuse: 0
% 21.53/21.86
% 21.53/21.86 Resimplifying inuse:
% 21.53/21.86 Done
% 21.53/21.86
% 21.53/21.86 Resimplifying clauses:
% 21.53/21.86 Done
% 21.53/21.86
% 21.53/21.86 Resimplifying inuse:
% 21.53/21.86 Done
% 21.53/21.86
% 21.53/21.86
% 21.53/21.86 Intermediate Status:
% 21.53/21.86 Generated: 75160
% 21.53/21.86 Kept: 21846
% 21.53/21.86 Inuse: 443
% 21.53/21.86 Deleted: 216
% 21.53/21.86 Deletedinuse: 0
% 21.53/21.86
% 21.53/21.86 Resimplifying inuse:
% 21.53/21.86 Done
% 21.53/21.86
% 21.53/21.86
% 21.53/21.86 Intermediate Status:
% 21.53/21.86 Generated: 82534
% 21.53/21.86 Kept: 23896
% 21.53/21.86 Inuse: 483
% 21.53/21.86 Deleted: 216
% 21.53/21.86 Deletedinuse: 0
% 21.53/21.86
% 21.53/21.86 Resimplifying inuse:
% 21.53/21.86 Done
% 21.53/21.86
% 21.53/21.86 Resimplifying inuse:
% 21.53/21.86 Done
% 21.53/21.86
% 21.53/21.86
% 21.53/21.86 Intermediate Status:
% 21.53/21.86 Generated: 91036
% 21.53/21.86 Kept: 26134
% 21.53/21.86 Inuse: 508
% 21.53/21.86 Deleted: 216
% 21.53/21.86 Deletedinuse: 0
% 21.53/21.86
% 21.53/21.86 Resimplifying inuse:
% 21.53/21.86 Done
% 21.53/21.86
% 21.53/21.86 Resimplifying inuse:
% 21.53/21.86 Done
% 21.53/21.86
% 21.53/21.86
% 21.53/21.86 Intermediate Status:
% 21.53/21.86 Generated: 96767
% 72.38/72.74 Kept: 28332
% 72.38/72.74 Inuse: 533
% 72.38/72.74 Deleted: 216
% 72.38/72.74 Deletedinuse: 0
% 72.38/72.74
% 72.38/72.74 Resimplifying inuse:
% 72.38/72.74 Done
% 72.38/72.74
% 72.38/72.74
% 72.38/72.74 Intermediate Status:
% 72.38/72.74 Generated: 123150
% 72.38/72.74 Kept: 33039
% 72.38/72.74 Inuse: 553
% 72.38/72.74 Deleted: 216
% 72.38/72.74 Deletedinuse: 0
% 72.38/72.74
% 72.38/72.74 Resimplifying inuse:
% 72.38/72.74 Done
% 72.38/72.74
% 72.38/72.74
% 72.38/72.74 Intermediate Status:
% 72.38/72.74 Generated: 130254
% 72.38/72.74 Kept: 35195
% 72.38/72.74 Inuse: 558
% 72.38/72.74 Deleted: 216
% 72.38/72.74 Deletedinuse: 0
% 72.38/72.74
% 72.38/72.74 Resimplifying inuse:
% 72.38/72.74 Done
% 72.38/72.74
% 72.38/72.74 Resimplifying inuse:
% 72.38/72.74 Done
% 72.38/72.74
% 72.38/72.74
% 72.38/72.74 Intermediate Status:
% 72.38/72.74 Generated: 137139
% 72.38/72.74 Kept: 37454
% 72.38/72.74 Inuse: 613
% 72.38/72.74 Deleted: 216
% 72.38/72.74 Deletedinuse: 0
% 72.38/72.74
% 72.38/72.74 Resimplifying inuse:
% 72.38/72.74 Done
% 72.38/72.74
% 72.38/72.74 Resimplifying inuse:
% 72.38/72.74 Done
% 72.38/72.74
% 72.38/72.74
% 72.38/72.74 Intermediate Status:
% 72.38/72.74 Generated: 148221
% 72.38/72.74 Kept: 39927
% 72.38/72.74 Inuse: 638
% 72.38/72.74 Deleted: 216
% 72.38/72.74 Deletedinuse: 0
% 72.38/72.74
% 72.38/72.74 Resimplifying inuse:
% 72.38/72.74 Done
% 72.38/72.74
% 72.38/72.74 Resimplifying inuse:
% 72.38/72.74 Done
% 72.38/72.74
% 72.38/72.74 Resimplifying clauses:
% 72.38/72.74 Done
% 72.38/72.74
% 72.38/72.74
% 72.38/72.74 Intermediate Status:
% 72.38/72.74 Generated: 163145
% 72.38/72.74 Kept: 42363
% 72.38/72.74 Inuse: 648
% 72.38/72.74 Deleted: 365
% 72.38/72.74 Deletedinuse: 0
% 72.38/72.74
% 72.38/72.74 Resimplifying inuse:
% 72.38/72.74 Done
% 72.38/72.74
% 72.38/72.74 Resimplifying inuse:
% 72.38/72.74 Done
% 72.38/72.74
% 72.38/72.74
% 72.38/72.74 Intermediate Status:
% 72.38/72.74 Generated: 177364
% 72.38/72.74 Kept: 44725
% 72.38/72.74 Inuse: 658
% 72.38/72.74 Deleted: 365
% 72.38/72.74 Deletedinuse: 0
% 72.38/72.74
% 72.38/72.74 Resimplifying inuse:
% 72.38/72.74 Done
% 72.38/72.74
% 72.38/72.74 Resimplifying inuse:
% 72.38/72.74 Done
% 72.38/72.74
% 72.38/72.74
% 72.38/72.74 Intermediate Status:
% 72.38/72.74 Generated: 192610
% 72.38/72.74 Kept: 47528
% 72.38/72.74 Inuse: 668
% 72.38/72.74 Deleted: 365
% 72.38/72.74 Deletedinuse: 0
% 72.38/72.74
% 72.38/72.74 Resimplifying inuse:
% 72.38/72.74 Done
% 72.38/72.74
% 72.38/72.74 Resimplifying inuse:
% 72.38/72.74 Done
% 72.38/72.74
% 72.38/72.74
% 72.38/72.74 Intermediate Status:
% 72.38/72.74 Generated: 202906
% 72.38/72.74 Kept: 49713
% 72.38/72.74 Inuse: 688
% 72.38/72.74 Deleted: 365
% 72.38/72.74 Deletedinuse: 0
% 72.38/72.74
% 72.38/72.74 Resimplifying inuse:
% 72.38/72.74 Done
% 72.38/72.74
% 72.38/72.74 Resimplifying inuse:
% 72.38/72.74 Done
% 72.38/72.74
% 72.38/72.74
% 72.38/72.74 Intermediate Status:
% 72.38/72.74 Generated: 213041
% 72.38/72.74 Kept: 52058
% 72.38/72.74 Inuse: 708
% 72.38/72.74 Deleted: 365
% 72.38/72.74 Deletedinuse: 0
% 72.38/72.74
% 72.38/72.74 Resimplifying inuse:
% 72.38/72.74 Done
% 72.38/72.74
% 72.38/72.74 Resimplifying inuse:
% 72.38/72.74 Done
% 72.38/72.74
% 72.38/72.74
% 72.38/72.74 Intermediate Status:
% 72.38/72.74 Generated: 228272
% 72.38/72.74 Kept: 55205
% 72.38/72.74 Inuse: 728
% 72.38/72.74 Deleted: 365
% 72.38/72.74 Deletedinuse: 0
% 72.38/72.74
% 72.38/72.74 Resimplifying inuse:
% 72.38/72.74 Done
% 72.38/72.74
% 72.38/72.74 Resimplifying inuse:
% 72.38/72.74 Done
% 72.38/72.74
% 72.38/72.74
% 72.38/72.74 Intermediate Status:
% 72.38/72.74 Generated: 234807
% 72.38/72.74 Kept: 57348
% 72.38/72.74 Inuse: 748
% 72.38/72.74 Deleted: 365
% 72.38/72.74 Deletedinuse: 0
% 72.38/72.74
% 72.38/72.74 Resimplifying inuse:
% 72.38/72.74 Done
% 72.38/72.74
% 72.38/72.74
% 72.38/72.74 Intermediate Status:
% 72.38/72.74 Generated: 245421
% 72.38/72.74 Kept: 59895
% 72.38/72.74 Inuse: 758
% 72.38/72.74 Deleted: 365
% 72.38/72.74 Deletedinuse: 0
% 72.38/72.74
% 72.38/72.74 Resimplifying inuse:
% 72.38/72.74 Done
% 72.38/72.74
% 72.38/72.74 Resimplifying inuse:
% 72.38/72.74 Done
% 72.38/72.74
% 72.38/72.74 Resimplifying clauses:
% 72.38/72.74 Done
% 72.38/72.74
% 72.38/72.74
% 72.38/72.74 Intermediate Status:
% 72.38/72.74 Generated: 255433
% 72.38/72.74 Kept: 62984
% 72.38/72.74 Inuse: 768
% 72.38/72.74 Deleted: 706
% 72.38/72.74 Deletedinuse: 0
% 72.38/72.74
% 72.38/72.74 Resimplifying inuse:
% 72.38/72.74 Done
% 72.38/72.74
% 72.38/72.74 Resimplifying inuse:
% 72.38/72.74 Done
% 72.38/72.74
% 72.38/72.74
% 72.38/72.74 Intermediate Status:
% 72.38/72.74 Generated: 264282
% 72.38/72.74 Kept: 65267
% 72.38/72.74 Inuse: 793
% 72.38/72.74 Deleted: 706
% 72.38/72.74 Deletedinuse: 0
% 72.38/72.74
% 72.38/72.74 Resimplifying inuse:
% 72.38/72.74 Done
% 72.38/72.74
% 72.38/72.74 Resimplifying inuse:
% 72.38/72.74 Done
% 72.38/72.74
% 72.38/72.74
% 72.38/72.74 Intermediate Status:
% 72.38/72.74 Generated: 271505
% 72.38/72.74 Kept: 67285
% 72.38/72.74 Inuse: 818
% 72.38/72.74 Deleted: 707
% 72.38/72.74 Deletedinuse: 1
% 72.38/72.74
% 72.38/72.74 Resimplifying inuse:
% 72.38/72.74 Done
% 72.38/72.74
% 72.38/72.74
% 72.38/72.74 Intermediate Status:
% 72.38/72.74 Generated: 281829
% 72.38/72.74 Kept: 69816
% 72.38/72.74 Inuse: 843
% 72.38/72.74 Deleted: 707
% 72.38/72.74 Deletedinuse: 1
% 72.38/72.74
% 72.38/72.74 Resimplifying inuse:
% 72.38/72.74 Done
% 72.38/72.74
% 72.38/72.74 Resimplifying inuse:
% 72.38/72.74 Done
% 72.38/72.74
% 72.38/72.74
% 72.38/72.74 Intermediate Status:
% 72.38/72.74 Generated: 289096
% 72.38/72.74 Kept: 72055
% 72.38/72.74 Inuse: 853
% 72.38/72.74 Deleted: 707
% 72.38/72.74 Deletedinuse: 1
% 72.38/72.74
% 72.38/72.74 Resimplifying inuse:
% 72.38/72.74 Done
% 72.38/72.74
% 72.38/72.74 Resimplifying inuse:
% 72.38/72.74 Done
% 72.38/72.74
% 72.38/72.74
% 72.38/72.74 Intermediate Status:
% 72.38/72.74 Generated: 297789
% 72.38/72.74 Kept: 74131
% 72.38/72.74 Inuse: 868
% 72.38/72.74 Deleted: 707
% 72.38/72.74 Deletedinuse: 1
% 72.38/72.74
% 72.38/72.74 Resimplifying inuse:
% 72.38/72.74 Done
% 72.38/72.74
% 72.38/72.74 Resimplifying inuse:
% 72.38/72.74 Done
% 72.38/72.74
% 72.38/72.74
% 72.38/72.74 Intermediate Status:
% 72.38/72.74 Generated: 309300
% 72.38/72.74 Kept: 76389
% 72.38/72.74 Inuse: 883
% 72.38/72.74 Deleted: 707
% 72.38/72.74 Deletedinuse: 1
% 72.38/72.74
% 72.38/72.74 Resimplifying inuse:
% 72.38/72.74 Done
% 72.38/72.74
% 72.38/72.74 Resimplifying inuse:
% 72.38/72.74 Done
% 72.38/72.74
% 72.38/72.74
% 72.38/72.74 Intermediate Status:
% 72.38/72.74 Generated: 324406
% 72.38/72.74 Kept: 80084
% 72.38/72.74 Inuse: 908
% 72.38/72.74 Deleted: 707
% 72.38/72.74 Deletedinuse: 1
% 72.38/72.74
% 72.38/72.74 Resimplifying inuse:
% 72.38/72.74 Done
% 72.38/72.74
% 72.38/72.74 Resimplifying inuse:
% 72.38/72.74 Done
% 72.38/72.74
% 72.38/72.74 Resimplifying clauses:
% 72.38/72.74 Done
% 72.38/72.74
% 72.38/72.74
% 72.38/72.74 Intermediate Status:
% 72.38/72.74 Generated: 333659
% 72.38/72.74 Kept: 82143
% 72.38/72.74 Inuse: 933
% 72.38/72.74 Deleted: 937
% 72.38/72.74 Deletedinuse: 1
% 72.38/72.74
% 72.38/72.74 Resimplifying inuse:
% 72.38/72.74 Done
% 72.38/72.74
% 72.38/72.74 Resimplifying inuse:
% 72.38/72.74 Done
% 72.38/72.74
% 72.38/72.74
% 72.38/72.74 Intermediate Status:
% 72.38/72.74 Generated: 342788
% 72.38/72.74 Kept: 84367
% 72.38/72.74 Inuse: 963
% 72.38/72.74 Deleted: 937
% 72.38/72.74 Deletedinuse: 1
% 72.38/72.74
% 72.38/72.74 Resimplifying inuse:
% 72.38/72.74 Done
% 72.38/72.74
% 72.38/72.74
% 72.38/72.74 Intermediate Status:
% 72.38/72.74 Generated: 351760
% 72.38/72.74 Kept: 86578
% 72.38/72.74 Inuse: 983
% 72.38/72.74 Deleted: 937
% 72.38/72.74 Deletedinuse: 1
% 72.38/72.74
% 72.38/72.74 Resimplifying inuse:
% 72.38/72.74 Done
% 72.38/72.74
% 72.38/72.74
% 72.38/72.74 Intermediate Status:
% 72.38/72.74 Generated: 360733
% 72.38/72.74 Kept: 89728
% 72.38/72.74 Inuse: 1003
% 72.38/72.74 Deleted: 937
% 72.38/72.74 Deletedinuse: 1
% 72.38/72.74
% 72.38/72.74 Resimplifying inuse:
% 158.33/158.77 Done
% 158.33/158.77
% 158.33/158.77
% 158.33/158.77 Intermediate Status:
% 158.33/158.77 Generated: 376442
% 158.33/158.77 Kept: 92583
% 158.33/158.77 Inuse: 1018
% 158.33/158.77 Deleted: 937
% 158.33/158.77 Deletedinuse: 1
% 158.33/158.77
% 158.33/158.77 Resimplifying inuse:
% 158.33/158.77 Done
% 158.33/158.77
% 158.33/158.77 Resimplifying inuse:
% 158.33/158.77 Done
% 158.33/158.77
% 158.33/158.77
% 158.33/158.77 Intermediate Status:
% 158.33/158.77 Generated: 387759
% 158.33/158.77 Kept: 95283
% 158.33/158.77 Inuse: 1043
% 158.33/158.77 Deleted: 938
% 158.33/158.77 Deletedinuse: 2
% 158.33/158.77
% 158.33/158.77 Resimplifying inuse:
% 158.33/158.77 Done
% 158.33/158.77
% 158.33/158.77 Resimplifying inuse:
% 158.33/158.77 Done
% 158.33/158.77
% 158.33/158.77
% 158.33/158.77 Intermediate Status:
% 158.33/158.77 Generated: 394913
% 158.33/158.77 Kept: 97550
% 158.33/158.77 Inuse: 1063
% 158.33/158.77 Deleted: 938
% 158.33/158.77 Deletedinuse: 2
% 158.33/158.77
% 158.33/158.77 Resimplifying inuse:
% 158.33/158.77 Done
% 158.33/158.77
% 158.33/158.77 Resimplifying inuse:
% 158.33/158.77 Done
% 158.33/158.77
% 158.33/158.77
% 158.33/158.77 Intermediate Status:
% 158.33/158.77 Generated: 402797
% 158.33/158.77 Kept: 100147
% 158.33/158.77 Inuse: 1088
% 158.33/158.77 Deleted: 939
% 158.33/158.77 Deletedinuse: 3
% 158.33/158.77
% 158.33/158.77 Resimplifying inuse:
% 158.33/158.77 Done
% 158.33/158.77
% 158.33/158.77 Resimplifying clauses:
% 158.33/158.77 Done
% 158.33/158.77
% 158.33/158.77
% 158.33/158.77 Intermediate Status:
% 158.33/158.77 Generated: 410092
% 158.33/158.77 Kept: 102575
% 158.33/158.77 Inuse: 1103
% 158.33/158.77 Deleted: 1139
% 158.33/158.77 Deletedinuse: 3
% 158.33/158.77
% 158.33/158.77 Resimplifying inuse:
% 158.33/158.77 Done
% 158.33/158.77
% 158.33/158.77 Resimplifying inuse:
% 158.33/158.77 Done
% 158.33/158.77
% 158.33/158.77
% 158.33/158.77 Intermediate Status:
% 158.33/158.77 Generated: 418163
% 158.33/158.77 Kept: 104832
% 158.33/158.77 Inuse: 1128
% 158.33/158.77 Deleted: 1139
% 158.33/158.77 Deletedinuse: 3
% 158.33/158.77
% 158.33/158.77 Resimplifying inuse:
% 158.33/158.77 Done
% 158.33/158.77
% 158.33/158.77 Resimplifying inuse:
% 158.33/158.77 Done
% 158.33/158.77
% 158.33/158.77
% 158.33/158.77 Intermediate Status:
% 158.33/158.77 Generated: 426408
% 158.33/158.77 Kept: 106927
% 158.33/158.77 Inuse: 1148
% 158.33/158.77 Deleted: 1139
% 158.33/158.77 Deletedinuse: 3
% 158.33/158.77
% 158.33/158.77 Resimplifying inuse:
% 158.33/158.77 Done
% 158.33/158.77
% 158.33/158.77 Resimplifying inuse:
% 158.33/158.77 Done
% 158.33/158.77
% 158.33/158.77
% 158.33/158.77 Intermediate Status:
% 158.33/158.77 Generated: 434763
% 158.33/158.77 Kept: 109070
% 158.33/158.77 Inuse: 1173
% 158.33/158.77 Deleted: 1139
% 158.33/158.77 Deletedinuse: 3
% 158.33/158.77
% 158.33/158.77 Resimplifying inuse:
% 158.33/158.77 Done
% 158.33/158.77
% 158.33/158.77
% 158.33/158.77 Intermediate Status:
% 158.33/158.77 Generated: 450721
% 158.33/158.77 Kept: 113433
% 158.33/158.77 Inuse: 1188
% 158.33/158.77 Deleted: 1139
% 158.33/158.77 Deletedinuse: 3
% 158.33/158.77
% 158.33/158.77 Resimplifying inuse:
% 158.33/158.77 Done
% 158.33/158.77
% 158.33/158.77 Resimplifying inuse:
% 158.33/158.77 Done
% 158.33/158.77
% 158.33/158.77
% 158.33/158.77 Intermediate Status:
% 158.33/158.77 Generated: 459037
% 158.33/158.77 Kept: 115439
% 158.33/158.77 Inuse: 1218
% 158.33/158.77 Deleted: 1139
% 158.33/158.77 Deletedinuse: 3
% 158.33/158.77
% 158.33/158.77 Resimplifying inuse:
% 158.33/158.77 Done
% 158.33/158.77
% 158.33/158.77 Resimplifying inuse:
% 158.33/158.77 Done
% 158.33/158.77
% 158.33/158.77
% 158.33/158.77 Intermediate Status:
% 158.33/158.77 Generated: 476113
% 158.33/158.77 Kept: 119301
% 158.33/158.77 Inuse: 1238
% 158.33/158.77 Deleted: 1140
% 158.33/158.77 Deletedinuse: 4
% 158.33/158.77
% 158.33/158.77 Resimplifying inuse:
% 158.33/158.77 Done
% 158.33/158.77
% 158.33/158.77 Resimplifying inuse:
% 158.33/158.77 Done
% 158.33/158.77
% 158.33/158.77
% 158.33/158.77 Intermediate Status:
% 158.33/158.77 Generated: 483514
% 158.33/158.77 Kept: 121303
% 158.33/158.77 Inuse: 1265
% 158.33/158.77 Deleted: 1140
% 158.33/158.77 Deletedinuse: 4
% 158.33/158.77
% 158.33/158.77 Resimplifying inuse:
% 158.33/158.77 Done
% 158.33/158.77
% 158.33/158.77 Resimplifying clauses:
% 158.33/158.77 Done
% 158.33/158.77
% 158.33/158.77 Resimplifying inuse:
% 158.33/158.77 Done
% 158.33/158.77
% 158.33/158.77
% 158.33/158.77 Intermediate Status:
% 158.33/158.77 Generated: 495322
% 158.33/158.77 Kept: 123448
% 158.33/158.77 Inuse: 1293
% 158.33/158.77 Deleted: 1730
% 158.33/158.77 Deletedinuse: 4
% 158.33/158.77
% 158.33/158.77 Resimplifying inuse:
% 158.33/158.77 Done
% 158.33/158.77
% 158.33/158.77 Resimplifying inuse:
% 158.33/158.77 Done
% 158.33/158.77
% 158.33/158.77
% 158.33/158.77 Intermediate Status:
% 158.33/158.77 Generated: 503080
% 158.33/158.77 Kept: 125745
% 158.33/158.77 Inuse: 1318
% 158.33/158.77 Deleted: 1734
% 158.33/158.77 Deletedinuse: 8
% 158.33/158.77
% 158.33/158.77 Resimplifying inuse:
% 158.33/158.77 Done
% 158.33/158.77
% 158.33/158.77
% 158.33/158.77 Intermediate Status:
% 158.33/158.77 Generated: 513474
% 158.33/158.77 Kept: 128822
% 158.33/158.77 Inuse: 1333
% 158.33/158.77 Deleted: 1735
% 158.33/158.77 Deletedinuse: 9
% 158.33/158.77
% 158.33/158.77 Resimplifying inuse:
% 158.33/158.77 Done
% 158.33/158.77
% 158.33/158.77 Resimplifying inuse:
% 158.33/158.77 Done
% 158.33/158.77
% 158.33/158.77
% 158.33/158.77 Intermediate Status:
% 158.33/158.77 Generated: 522784
% 158.33/158.77 Kept: 131214
% 158.33/158.77 Inuse: 1353
% 158.33/158.77 Deleted: 1735
% 158.33/158.77 Deletedinuse: 9
% 158.33/158.77
% 158.33/158.77 Resimplifying inuse:
% 158.33/158.77 Done
% 158.33/158.77
% 158.33/158.77 Resimplifying inuse:
% 158.33/158.77 Done
% 158.33/158.77
% 158.33/158.77
% 158.33/158.77 Intermediate Status:
% 158.33/158.77 Generated: 531724
% 158.33/158.77 Kept: 133793
% 158.33/158.77 Inuse: 1373
% 158.33/158.77 Deleted: 1735
% 158.33/158.77 Deletedinuse: 9
% 158.33/158.77
% 158.33/158.77 Resimplifying inuse:
% 158.33/158.77 Done
% 158.33/158.77
% 158.33/158.77
% 158.33/158.77 Intermediate Status:
% 158.33/158.77 Generated: 549316
% 158.33/158.77 Kept: 138286
% 158.33/158.77 Inuse: 1378
% 158.33/158.77 Deleted: 1737
% 158.33/158.77 Deletedinuse: 11
% 158.33/158.77
% 158.33/158.77 Resimplifying inuse:
% 158.33/158.77 Done
% 158.33/158.77
% 158.33/158.77
% 158.33/158.77 Intermediate Status:
% 158.33/158.78 Generated: 562943
% 158.33/158.78 Kept: 140546
% 158.33/158.78 Inuse: 1383
% 158.33/158.78 Deleted: 1737
% 158.33/158.78 Deletedinuse: 11
% 158.33/158.78
% 158.33/158.78 Resimplifying inuse:
% 158.33/158.78 Done
% 158.33/158.78
% 158.33/158.78 Resimplifying inuse:
% 158.33/158.78 Done
% 158.33/158.78
% 158.33/158.78 Resimplifying clauses:
% 158.33/158.78 Done
% 158.33/158.78
% 158.33/158.78
% 158.33/158.78 Intermediate Status:
% 158.33/158.78 Generated: 574072
% 158.33/158.78 Kept: 143049
% 158.33/158.78 Inuse: 1408
% 158.33/158.78 Deleted: 3347
% 158.33/158.78 Deletedinuse: 12
% 158.33/158.78
% 158.33/158.78 Resimplifying inuse:
% 158.33/158.78 Done
% 158.33/158.78
% 158.33/158.78
% 158.33/158.78 Intermediate Status:
% 158.33/158.78 Generated: 585287
% 158.33/158.78 Kept: 146316
% 158.33/158.78 Inuse: 1418
% 158.33/158.78 Deleted: 3353
% 158.33/158.78 Deletedinuse: 18
% 158.33/158.78
% 158.33/158.78 Resimplifying inuse:
% 158.33/158.78 Done
% 158.33/158.78
% 158.33/158.78 Resimplifying inuse:
% 158.33/158.78 Done
% 158.33/158.78
% 158.33/158.78
% 158.33/158.78 Intermediate Status:
% 158.33/158.78 Generated: 593237
% 158.33/158.78 Kept: 148680
% 158.33/158.78 Inuse: 1438
% 158.33/158.78 Deleted: 3353
% 158.33/158.78 Deletedinuse: 18
% 158.33/158.78
% 158.33/158.78 Resimplifying inuse:
% 158.33/158.78 Done
% 158.33/158.78
% 158.33/158.78 Resimplifying inuse:
% 158.33/158.78 Done
% 158.33/158.78
% 158.33/158.78
% 158.33/158.78 Intermediate Status:
% 158.33/158.78 Generated: 602054
% 158.33/158.78 Kept: 151004
% 158.33/158.78 Inuse: 1458
% 158.33/158.78 Deleted: 3353
% 158.33/158.78 Deletedinuse: 18
% 158.33/158.78
% 158.33/158.78 Resimplifying inuse:
% 158.33/158.78 Done
% 158.33/158.78
% 158.33/158.78 Resimplifying inuse:
% 158.33/158.78 Done
% 158.33/158.78
% 158.33/158.78
% 158.33/158.78 Intermediate Status:
% 158.33/158.78 Generated: 612483
% 158.33/158.78 Kept: 153604
% 158.33/158.78 Inuse: 1478
% 158.33/158.78 Deleted: 3354
% 158.33/158.78 Deletedinuse: 19
% 158.33/158.78
% 158.33/158.78 Resimplifying inuse:
% 158.33/158.78 Done
% 158.33/158.78
% 158.33/158.78 Resimplifying inuse:
% 158.33/158.78 DCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------