TSTP Solution File: SWV621-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV621-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n026.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 16:27:12 EDT 2022
% Result : Timeout 300.02s 300.42s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWV621-1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n026.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Tue Jun 14 20:21:37 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.05/1.45 *** allocated 10000 integers for termspace/termends
% 1.05/1.45 *** allocated 10000 integers for clauses
% 1.05/1.45 *** allocated 10000 integers for justifications
% 1.05/1.45 *** allocated 15000 integers for termspace/termends
% 1.05/1.45 *** allocated 22500 integers for termspace/termends
% 1.05/1.45 *** allocated 33750 integers for termspace/termends
% 1.05/1.45 Bliksem 1.12
% 1.05/1.45
% 1.05/1.45
% 1.05/1.45 Automatic Strategy Selection
% 1.05/1.45
% 1.05/1.45 Clauses:
% 1.05/1.45 [
% 1.05/1.45 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.45 'tc_nat' ), 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 1.05/1.45 [ ~( 'class_Int_Oring__char__0'( X ) ), ~( 'class_Int_Onumber__ring'( X
% 1.05/1.45 ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.05/1.45 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =( Y, Z ) ],
% 1.05/1.45 [ =( X, 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X,
% 1.05/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( hBOOL( hAPP(
% 1.05/1.45 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), 'c_Suc'( 'c_Suc'(
% 1.05/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ) ) ],
% 1.05/1.45 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP(
% 1.05/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.05/1.45 'tc_nat' ), Z ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.05/1.45 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 1.05/1.45 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ) ) ) ) ],
% 1.05/1.45 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP(
% 1.05/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.05/1.45 'tc_nat' ), Z ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.05/1.45 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_nat' ), 'tc_nat' ),
% 1.05/1.45 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ) ) ) ) ],
% 1.05/1.45 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP(
% 1.05/1.45 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_nat' ), 'tc_nat'
% 1.05/1.45 ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ) ) ) ), ~( hBOOL( hAPP(
% 1.05/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.05/1.45 'tc_nat' ), Z ) ) ) ],
% 1.05/1.45 [ hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.05/1.45 'tc_nat' ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) )
% 1.05/1.45 ), ~( hBOOL( hAPP( 'c_lessequals'( Y, 'tc_nat' ), Z ) ) ), ~( hBOOL(
% 1.05/1.45 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.05/1.45 'tc_nat' ), X ) ) ) ],
% 1.05/1.45 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.05/1.45 'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.05/1.45 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 1.05/1.45 'c_HOL_Otimes__class_Otimes'( T, Y, X ) ) ) ), ~( hBOOL( hAPP(
% 1.05/1.45 'c_HOL_Oord__class_Oless'( T, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.05/1.45 ],
% 1.05/1.45 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.05/1.45 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.05/1.45 'c_HOL_Otimes__class_Otimes'( Y, T, X ) ) ), ~( hBOOL( hAPP(
% 1.05/1.45 'c_lessequals'( T, X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.05/1.45 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.05/1.45 ],
% 1.05/1.45 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.05/1.45 'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.05/1.45 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ),
% 1.05/1.45 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ) ), ~( hBOOL( hAPP(
% 1.05/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) )
% 1.05/1.45 ],
% 1.05/1.45 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.05/1.45 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.05/1.45 'c_HOL_Otimes__class_Otimes'( Y, T, X ) ) ), ~( hBOOL( hAPP(
% 1.05/1.45 'c_lessequals'( Z, X ), T ) ) ), ~( hBOOL( hAPP(
% 1.05/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) )
% 1.05/1.45 ],
% 1.05/1.45 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.05/1.45 hAPP( 'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.05/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) )
% 1.05/1.45 , ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Y, X )
% 1.05/1.45 , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ) ) ],
% 1.05/1.45 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.05/1.45 hAPP( 'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.05/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) )
% 1.05/1.45 , ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X )
% 1.05/1.45 , X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ) ) ) ) ],
% 1.05/1.45 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.45 'tc_nat' ), 'tc_nat' ), X ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.05/1.45 'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_nat' ), 'tc_nat' ),
% 1.05/1.45 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_nat' ) ) ) ) ],
% 1.05/1.45 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.45 'tc_nat' ), 'tc_nat' ), X ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.05/1.45 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'tc_nat' ),
% 1.05/1.45 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) ) ) ) ],
% 1.05/1.45 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 1.05/1.45 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) ) ), ~( hBOOL( hAPP(
% 1.05/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.05/1.45 'tc_nat' ), X ) ) ), =( Y, Z ) ],
% 1.05/1.45 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.05/1.45 Y, X ), Z ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), Y ) )
% 1.05/1.45 ) ],
% 1.05/1.45 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP(
% 1.05/1.45 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP( 'c_lessequals'( Z
% 1.05/1.45 , X ), Y ) ) ],
% 1.05/1.45 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y
% 1.05/1.45 , X ), Z ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ) ]
% 1.05/1.45 ,
% 1.05/1.45 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP(
% 1.05/1.45 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.05/1.45 'c_lessequals'( Z, X ), Y ) ) ) ],
% 1.05/1.45 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP(
% 1.05/1.45 'c_HOL_Oord__class_Oless'( Y, X ), Y ) ), hBOOL( hAPP( 'c_lessequals'( Y
% 1.05/1.45 , X ), Y ) ) ],
% 1.05/1.45 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.05/1.45 Y, X ), Y ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), Y ) )
% 1.05/1.45 ) ],
% 1.05/1.45 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP(
% 1.05/1.45 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP( 'c_lessequals'( Z
% 1.05/1.45 , X ), Y ) ) ],
% 1.05/1.45 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.05/1.45 Y, X ), Z ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), Y ) )
% 1.05/1.45 ) ],
% 1.05/1.45 [ =( hAPP( 'c_COMBK'( X, Y, Z ), T ), X ) ],
% 1.05/1.45 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP(
% 1.05/1.45 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.05/1.45 'c_HOL_Oord__class_Oless'( T, X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.05/1.45 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.05/1.45 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP(
% 1.05/1.45 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.05/1.45 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ), ~( hBOOL( hAPP(
% 1.05/1.45 'c_HOL_Oord__class_Oless'( T, X ), Z ) ) ) ],
% 1.05/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.05/1.45 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'(
% 1.05/1.45 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ),
% 1.05/1.45 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), ~( hBOOL( hAPP(
% 1.05/1.45 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.05/1.45 , ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.45 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ), Y ) ) ), hBOOL(
% 1.05/1.45 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z
% 1.05/1.45 ) ) ],
% 1.05/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.05/1.45 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'(
% 1.05/1.45 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.05/1.45 , Z, X ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ),
% 1.05/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP(
% 1.05/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ),
% 1.05/1.45 ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X
% 1.05/1.45 ), X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ) ],
% 1.05/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.05/1.45 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.05/1.45 , Y, X ) ) ],
% 1.05/1.45 [ =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 1.05/1.45 'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_nat' ) ) ],
% 1.05/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.05/1.45 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.05/1.45 , Y, X ) ) ],
% 1.05/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP(
% 1.05/1.45 'c_Power_Opower__class_Opower'( Y, X ), 'c_Suc'( Z ) ),
% 1.05/1.45 'c_HOL_Otimes__class_Otimes'( Y, hAPP( 'c_Power_Opower__class_Opower'( Y
% 1.05/1.45 , X ), Z ), X ) ) ],
% 1.05/1.45 [ ~( 'class_Power_Opower'( X ) ), =( hAPP(
% 1.05/1.45 'c_Power_Opower__class_Opower'( Y, X ), 'c_Suc'( Z ) ),
% 1.05/1.45 'c_HOL_Otimes__class_Otimes'( Y, hAPP( 'c_Power_Opower__class_Opower'( Y
% 1.05/1.45 , X ), Z ), X ) ) ],
% 1.05/1.45 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP(
% 1.05/1.45 'c_Power_Opower__class_Opower'( Y, X ), 'c_Suc'( Z ) ),
% 1.05/1.45 'c_HOL_Otimes__class_Otimes'( hAPP( 'c_Power_Opower__class_Opower'( Y, X
% 1.05/1.45 ), Z ), Y, X ) ) ],
% 1.05/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP(
% 1.05/1.45 'c_Power_Opower__class_Opower'( Y, X ), 'c_Suc'( Z ) ),
% 1.05/1.45 'c_HOL_Otimes__class_Otimes'( Y, hAPP( 'c_Power_Opower__class_Opower'( Y
% 1.05/1.45 , X ), Z ), X ) ) ],
% 1.05/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.05/1.45 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.05/1.45 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.05/1.45 , X ), X ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.05/1.45 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ),
% 1.05/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP(
% 1.05/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T,
% 1.05/1.45 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ), Y ) ) ), ~( hBOOL(
% 1.05/1.45 hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.05/1.45 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ) ) ],
% 1.05/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.05/1.45 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X
% 1.05/1.45 ), 'c_HOL_Oinverse__class_Odivide'( Z,
% 1.05/1.45 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ) ), ~( hBOOL( hAPP(
% 1.05/1.45 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ), X
% 1.05/1.45 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP(
% 1.05/1.45 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Otimes__class_Otimes'( Y,
% 1.05/1.45 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ) ) ), ~( hBOOL( hAPP(
% 1.05/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.05/1.45 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ), Z ) ) ) ],
% 1.05/1.45 [ hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.05/1.45 'tc_nat' ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ) )
% 1.05/1.45 ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.45 'tc_nat' ), 'tc_nat' ), Y ) ) ],
% 1.05/1.45 [ hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.05/1.45 'tc_nat' ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) )
% 1.05/1.45 ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.45 'tc_nat' ), 'tc_nat' ), X ) ) ],
% 1.05/1.45 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.05/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.05/1.45 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 1.05/1.45 ), X ), Y ) ],
% 1.05/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.05/1.45 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.05/1.45 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.05/1.45 , X ), X ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.05/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), hBOOL( hAPP(
% 1.05/1.45 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ), X
% 1.05/1.45 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.05/1.45 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Otimes__class_Otimes'( T,
% 1.05/1.45 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ) ) ],
% 1.05/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.05/1.45 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X
% 1.05/1.45 ), 'c_HOL_Oinverse__class_Odivide'( Z,
% 1.05/1.45 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ) ), ~( hBOOL( hAPP(
% 1.05/1.45 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.05/1.45 , hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.05/1.45 'c_Int_Onumber__class_Onumber__of'( T, X ), X ),
% 1.05/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.05/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.05/1.45 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ), Z ) ) ) ],
% 1.05/1.45 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( hBOOL( hAPP(
% 1.05/1.45 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), 'c_Suc'(
% 1.05/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ) ],
% 1.05/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.05/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ),
% 1.05/1.45 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.05/1.45 Y, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.05/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.05/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 1.05/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.05/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) )
% 1.05/1.45 ],
% 1.05/1.45 [ ~( 'class_Ring__and__Field_Odvd'( X ) ),
% 1.05/1.45 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 1.05/1.45 , Z, X ), X ) ],
% 1.05/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.05/1.45 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 1.05/1.45 , Z, X ), X ) ],
% 1.05/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.05/1.45 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 1.05/1.45 , Y, X ), X ) ],
% 1.05/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.05/1.45 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ),
% 1.05/1.45 'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ) ), ~( hBOOL( hAPP(
% 1.05/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.05/1.45 'c_HOL_Otimes__class_Otimes'( Z, T, X ) ) ) ), ~( hBOOL( hAPP(
% 1.05/1.45 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ), ~( hBOOL(
% 1.05/1.45 hAPP( 'c_lessequals'( T, X ), Z ) ) ) ],
% 1.05/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.05/1.45 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ),
% 1.05/1.45 'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ) ), ~( hBOOL( hAPP(
% 1.05/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.05/1.45 'c_HOL_Otimes__class_Otimes'( Z, T, X ) ) ) ), ~( hBOOL( hAPP(
% 1.05/1.45 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL(
% 1.05/1.45 hAPP( 'c_lessequals'( Z, X ), T ) ) ) ],
% 1.05/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.05/1.45 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.05/1.45 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ),
% 1.05/1.45 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), ~( hBOOL( hAPP(
% 1.05/1.45 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.05/1.45 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.45 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ), Y ) ) ), ~(
% 1.05/1.45 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.05/1.45 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( T, X )
% 1.05/1.45 , Z, X ) ) ) ) ],
% 1.05/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.05/1.45 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.05/1.45 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.05/1.45 , X ), X ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.05/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL( hAPP(
% 1.05/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T,
% 1.05/1.45 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ), Y ) ) ), ~( hBOOL(
% 1.05/1.45 hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.05/1.45 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ) ) ],
% 1.05/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.05/1.45 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X
% 1.05/1.45 ), 'c_HOL_Oinverse__class_Odivide'( Z,
% 1.05/1.45 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ) ), ~( hBOOL( hAPP(
% 1.05/1.45 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.05/1.45 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ),
% 1.05/1.45 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.05/1.45 ), X ) ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.05/1.45 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.05/1.45 ), X ), X ), Z ) ) ) ],
% 1.05/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.05/1.45 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.05/1.45 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.05/1.45 , Z, X ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ),
% 1.05/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP(
% 1.05/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ),
% 1.05/1.45 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.05/1.45 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ),
% 1.05/1.45 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ) ],
% 1.05/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.05/1.45 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.05/1.45 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ),
% 1.05/1.45 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), ~( hBOOL( hAPP(
% 1.05/1.45 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.05/1.45 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.45 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ), Y ) ) ), hBOOL(
% 1.05/1.45 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z
% 1.05/1.45 ) ) ],
% 1.05/1.45 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.05/1.45 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.05/1.45 , X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ) ) ), ~( hBOOL( hAPP(
% 1.05/1.45 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL(
% 1.05/1.45 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T
% 1.05/1.45 ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), U ) ) ), ~(
% 1.05/1.45 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.05/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.05/1.45 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 1.05/1.45 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ), ~( hBOOL( hAPP(
% 1.05/1.45 'c_lessequals'( Z, X ), Y ) ) ) ],
% 1.05/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.05/1.45 'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.05/1.45 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 1.05/1.45 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ) ) ],
% 1.05/1.45 [ ~( 'class_Orderings_Obot'( X ) ), hBOOL( hAPP( 'c_lessequals'(
% 1.05/1.45 'c_Orderings_Obot__class_Obot'( X ), X ), Y ) ) ],
% 1.05/1.45 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), ~( hBOOL(
% 1.05/1.45 hAPP( 'c_lessequals'( 'c_Suc'( X ), 'tc_nat' ), Y ) ) ) ],
% 1.05/1.45 [ hBOOL( hAPP( 'c_lessequals'( 'c_Suc'( X ), 'tc_nat' ), Y ) ), ~( hBOOL(
% 1.05/1.45 hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ) ) ],
% 1.05/1.45 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), ~( hBOOL(
% 1.05/1.45 hAPP( 'c_lessequals'( 'c_Suc'( X ), 'tc_nat' ), Y ) ) ) ],
% 1.05/1.45 [ hBOOL( hAPP( 'c_lessequals'( 'c_Suc'( X ), 'tc_nat' ), Y ) ), ~( hBOOL(
% 1.05/1.45 hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ) ) ],
% 1.05/1.45 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( 'class_Int_Onumber'( X )
% 1.05/1.45 ), =( 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.05/1.45 Y, X ), 'c_HOL_Ominus__class_Ominus'( Z, T, X ), X ),
% 1.05/1.45 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.45 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ),
% 1.05/1.45 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.05/1.45 , T, X ), X ) ) ],
% 1.05/1.45 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'c_Suc'(
% 1.05/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, 'c_Suc'(
% 1.05/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.05/1.45 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'c_Suc'(
% 1.05/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X, 'c_Suc'(
% 1.05/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.05/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.05/1.45 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'(
% 1.05/1.45 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.05/1.45 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ), ~( hBOOL( hAPP(
% 1.05/1.45 'c_HOL_Oord__class_Oless'( T, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.05/1.45 , ~( hBOOL( hAPP( 'c_lessequals'( Z, X ), 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.45 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ) ) ) ), ~( hBOOL( hAPP(
% 1.05/1.45 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.45 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ), Z ) ) ) ],
% 1.05/1.45 [ 'c_Finite__Set_Ofinite'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.05/1.45 'tc_bool' ) ), X ) ],
% 1.05/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.05/1.45 'c_lessequals'( Y, X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ) ) ), ~(
% 1.05/1.45 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.05/1.45 X ), T ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.05/1.45 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), Z ) ) ) ],
% 1.05/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.05/1.45 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), T ) ),
% 1.05/1.45 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.05/1.45 ), X ), Z ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ),
% 1.05/1.45 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ) ) ],
% 1.05/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.05/1.45 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), T ) ), ~(
% 1.05/1.45 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.05/1.45 X ), Z ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ),
% 1.05/1.45 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ) ) ],
% 1.05/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.05/1.45 'c_lessequals'( Y, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ),
% 1.05/1.45 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.05/1.45 ), X ), T ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.05/1.45 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), Z ) ) ) ],
% 1.05/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.05/1.45 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), T ) ),
% 1.05/1.45 ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Otimes__class_Otimes'( T,
% 1.05/1.45 Z, X ) ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.05/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ) ],
% 1.05/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.05/1.45 'c_lessequals'( Y, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ),
% 1.05/1.45 ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.05/1.45 X ), Z ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.05/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ) ],
% 1.05/1.45 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ), hBOOL( hAPP(
% 1.05/1.45 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.05/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL( hAPP(
% 1.05/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ),
% 1.05/1.45 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ) ) ],
% 1.05/1.45 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ), hBOOL( hAPP(
% 1.05/1.45 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.05/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL( hAPP(
% 1.05/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 1.05/1.45 'c_HOL_Otimes__class_Otimes'( Z, T, X ) ) ) ) ],
% 1.05/1.45 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.05/1.45 hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.05/1.45 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL(
% 1.05/1.45 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Y, X )
% 1.05/1.45 , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ) ) ],
% 1.05/1.45 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.05/1.45 hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.05/1.45 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL(
% 1.05/1.45 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T, X )
% 1.05/1.45 , X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ) ) ) ) ],
% 1.05/1.45 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =(
% 1.05/1.45 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.05/1.45 , Z, X ) ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), =( Y, Z ) ]
% 1.05/1.45 ,
% 1.05/1.45 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.45 'tc_nat' ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ) )
% 1.05/1.45 ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.45 'tc_nat' ), 'tc_nat' ), Y ) ) ), ~( hBOOL( hAPP(
% 1.05/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.05/1.45 'tc_nat' ), X ) ) ) ],
% 1.05/1.45 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.05/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.05/1.45 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ), ~( hBOOL( hAPP(
% 1.05/1.45 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.05/1.45 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.05/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.05/1.45 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.05/1.45 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.05/1.45 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ), ~( hBOOL( hAPP(
% 1.05/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.05/1.45 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.45 X ), X ), Y ) ) ) ],
% 1.05/1.45 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.05/1.45 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.05/1.45 ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.05/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.05/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.05/1.45 'c_HOL_Otimes__class_Otimes'( Z, Y, X ) ) ) ) ],
% 1.05/1.45 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.05/1.45 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.05/1.45 ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.05/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.05/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.05/1.45 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ) ) ],
% 1.05/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.05/1.45 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), T ) ),
% 1.05/1.45 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ),
% 1.05/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.05/1.45 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), Y ) ) ), ~( hBOOL( hAPP(
% 1.05/1.45 'c_lessequals'( Y, X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ) ) ]
% 1.05/1.45 ,
% 1.05/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.05/1.45 'c_lessequals'( Y, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ),
% 1.05/1.45 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ),
% 1.05/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z
% 1.05/1.45 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ) ) ) ), ~( hBOOL( hAPP(
% 1.05/1.45 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), Z ) ) ) ]
% 1.05/1.45 ,
% 1.05/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.05/1.45 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.05/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 1.05/1.45 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ) ) ],
% 1.05/1.45 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.45 'tc_nat' ), 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 1.05/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.05/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ),
% 1.05/1.45 ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.05/1.45 'c_HOL_Oinverse__class_Oinverse'( Y, X ) ) ) ) ],
% 1.05/1.45 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 1.05/1.45 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 1.05/1.45 'c_SetInterval_Oord__class_OlessThan'( Z, X ) ) ), =( Y, Z ) ],
% 1.05/1.45 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.45 'tc_nat' ), 'tc_nat' ), X ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.05/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ),
% 1.05/1.45 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ) ) ) ) ],
% 1.05/1.45 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.45 'tc_nat' ), 'tc_nat' ), X ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.05/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ),
% 1.05/1.45 'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_nat' ) ) ) ) ],
% 1.05/1.45 [ =( 'c_SetInterval_Oord__class_OatLeastLessThan'( X, 'c_Suc'( Y ),
% 1.05/1.45 'tc_nat' ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_nat', 'tc_bool'
% 1.05/1.45 ) ) ), hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ) ],
% 1.05/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.05/1.45 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 1.05/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X
% 1.05/1.45 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.05/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.05/1.45 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL(
% 1.05/1.45 hAPP( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 1.05/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.05/1.45 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), ~( hBOOL(
% 1.05/1.45 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( Z
% 1.05/1.45 ), X, 'tc_nat' ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( Z )
% 1.05/1.45 , Y, 'tc_nat' ) ) ) ) ],
% 1.05/1.45 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.45 'c_Suc'( X ), Y, 'tc_nat' ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.45 'c_Suc'( X ), Z, 'tc_nat' ) ) ), ~( hBOOL( hAPP(
% 1.05/1.45 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), Z ) ) ) ],
% 1.05/1.45 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'tc_nat' ), Y )
% 1.05/1.45 ), =( 'c_Suc'( X ), Y ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X,
% 1.05/1.45 'tc_nat' ), Y ) ) ) ],
% 1.05/1.45 [ hBOOL( hAPP( 'c_lessequals'( 'c_Suc'( X ), 'tc_nat' ), Y ) ), hBOOL(
% 1.05/1.45 hAPP( 'c_lessequals'( Y, 'tc_nat' ), X ) ) ],
% 1.05/1.45 [ ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ) ), ~( hBOOL( hAPP(
% 1.05/1.45 'c_lessequals'( 'c_Suc'( Y ), 'tc_nat' ), X ) ) ) ],
% 1.05/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.05/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ), Y ) ),
% 1.05/1.45 hBOOL( hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.05/1.45 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.05/1.45 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), 'c_HOL_Oone__class_Oone'(
% 1.05/1.45 X ) ) ) ) ],
% 1.05/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.05/1.45 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X
% 1.05/1.45 ), 'c_HOL_Oinverse__class_Odivide'( Z,
% 1.05/1.45 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ) ), ~( hBOOL( hAPP(
% 1.05/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.05/1.45 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), ~( hBOOL( hAPP(
% 1.05/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.05/1.45 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ), Z ) ) ) ],
% 1.05/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.05/1.45 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.05/1.45 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.05/1.45 ), X ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.05/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.05/1.45 Z, X ) ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.05/1.45 'c_HOL_Oinverse__class_Odivide'( T, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.05/1.45 , X ), X ) ) ) ) ],
% 1.05/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.05/1.45 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.05/1.45 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.05/1.45 , X ), X ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.05/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.05/1.45 Z, X ) ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.05/1.45 'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.05/1.45 ), X ) ) ) ) ],
% 1.05/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.05/1.45 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X
% 1.05/1.45 ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'(
% 1.05/1.45 T, X ), X ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.05/1.46 T, X ) ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.05/1.46 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( T
% 1.05/1.46 , X ), X ), X ), Z ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.05/1.46 'c_HOL_Oinverse__class_Oinverse'( Y, X ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) )
% 1.05/1.46 ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.05/1.46 'c_HOL_Oinverse__class_Oinverse'( Y, X ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) )
% 1.05/1.46 ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ),
% 1.05/1.46 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.05/1.46 ), X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ) ) ) ) ],
% 1.05/1.46 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( Z ), X, 'tc_nat' )
% 1.05/1.46 , 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( Z ), Y, 'tc_nat' ) )
% 1.05/1.46 ) ) ],
% 1.05/1.46 [ hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X
% 1.05/1.46 ), Y, 'tc_nat' ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X )
% 1.05/1.46 , Z, 'tc_nat' ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, 'tc_nat' ), Z ) )
% 1.05/1.46 ) ],
% 1.05/1.46 [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_Orderings_Obot__class_Obot'(
% 1.05/1.46 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.05/1.46 Y, Z, X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ],
% 1.05/1.46 [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 1.05/1.46 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.05/1.46 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ) ) ), ~( hBOOL(
% 1.05/1.46 hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ) ],
% 1.05/1.46 [ hBOOL( hAPP( 'c_lessequals'( 'c_Suc'( X ), 'tc_nat' ), 'c_Suc'( X ) )
% 1.05/1.46 ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.05/1.46 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X ),
% 1.05/1.46 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.05/1.46 , X ), X ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.05/1.46 T, X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.05/1.46 ), X ), X ), Z ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.05/1.46 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'(
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.05/1.46 ), X ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.05/1.46 Z, X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ),
% 1.05/1.46 'c_HOL_Oinverse__class_Odivide'( T, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.05/1.46 , X ), X ) ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.05/1.46 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'(
% 1.05/1.46 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.05/1.46 , X ), X ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.05/1.46 Z, X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ),
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.05/1.46 ), X ) ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.05/1.46 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X ),
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.05/1.46 ), X ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.05/1.46 T, X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.05/1.46 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( T
% 1.05/1.46 , X ), X ), X ), Z ) ) ) ],
% 1.05/1.46 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ),
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_nat' ) ) ) ],
% 1.05/1.46 [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ), 'c_Finite__Set_Ofinite'(
% 1.05/1.46 Y, X ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.05/1.46 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.05/1.46 Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) )
% 1.05/1.46 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), T ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( T, X ), Y ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.05/1.46 ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.05/1.46 ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.05/1.46 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.05/1.46 , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.05/1.46 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.05/1.46 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ), Y ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( Y, T, X ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( T, X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.05/1.46 ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( Y, T, X ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( Z, X ), T ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) )
% 1.05/1.46 ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.05/1.46 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.05/1.46 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) )
% 1.05/1.46 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), T ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( Y, T, X ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.05/1.46 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ), Z ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( Y, T, X ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( Z, X ), T ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) )
% 1.05/1.46 ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ),
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) )
% 1.05/1.46 ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( Y, T, X ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( T, X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.05/1.46 ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( T, Y, X ) ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( T, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.05/1.46 ],
% 1.05/1.46 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.46 X, Y, 'tc_nat' ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z,
% 1.05/1.46 'tc_nat' ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' )
% 1.05/1.46 , Z ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), X ) ) ) ],
% 1.05/1.46 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), ~( hBOOL(
% 1.05/1.46 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, X,
% 1.05/1.46 'tc_nat' ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ) )
% 1.05/1.46 ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), Z ) ) ) ],
% 1.05/1.46 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.46 X, Y, 'tc_nat' ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z, Y,
% 1.05/1.46 'tc_nat' ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), Y ) ) ), ~( hBOOL(
% 1.05/1.46 hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Z ) ) ) ],
% 1.05/1.46 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.46 X, Y, 'tc_nat' ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z,
% 1.05/1.46 'tc_nat' ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), X ) ) ), ~( hBOOL(
% 1.05/1.46 hAPP( 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), Z ) ) ) ],
% 1.05/1.46 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.46 X, Y, 'tc_nat' ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z,
% 1.05/1.46 'tc_nat' ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' )
% 1.05/1.46 , Z ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), X ) ) ) ],
% 1.05/1.46 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.46 X, Y, 'tc_nat' ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z, Y,
% 1.05/1.46 'tc_nat' ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' )
% 1.05/1.46 , Z ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), Y ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.05/1.46 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T,
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 1.05/1.46 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, T
% 1.05/1.46 , X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.05/1.46 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T,
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 1.05/1.46 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( T, Y
% 1.05/1.46 , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ), Z ) ) ),
% 1.05/1.46 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 1.05/1.46 , X ), Y ) ) ) ],
% 1.05/1.46 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.05/1.46 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.05/1.46 ), Y ) ],
% 1.05/1.46 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 1.05/1.46 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.05/1.46 ) ) ],
% 1.05/1.46 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 1.05/1.46 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.05/1.46 ) ) ],
% 1.05/1.46 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 1.05/1.46 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.05/1.46 ), Y ) ],
% 1.05/1.46 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.05/1.46 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.05/1.46 ), Y ) ],
% 1.05/1.46 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'tc_nat' ),
% 1.05/1.46 'c_Suc'( Y ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat'
% 1.05/1.46 ), Y ) ) ) ],
% 1.05/1.46 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), ~( hBOOL(
% 1.05/1.46 hAPP( 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'tc_nat' ), 'c_Suc'( Y ) )
% 1.05/1.46 ) ) ],
% 1.05/1.46 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'tc_nat' ),
% 1.05/1.46 'c_Suc'( Y ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat'
% 1.05/1.46 ), Y ) ) ) ],
% 1.05/1.46 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), Z
% 1.05/1.46 ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.05/1.46 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), Y ) ) ) ],
% 1.05/1.46 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), Z
% 1.05/1.46 ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.05/1.46 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), Y ) ) ) ],
% 1.05/1.46 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z, X )
% 1.05/1.46 ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ),
% 1.05/1.46 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ) ) ],
% 1.05/1.46 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z, X )
% 1.05/1.46 ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ),
% 1.05/1.46 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ) ) ],
% 1.05/1.46 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), Z ) ), ~(
% 1.05/1.46 hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 1.05/1.46 , Y ) ) ) ],
% 1.05/1.46 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), Z ) ), ~(
% 1.05/1.46 hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 1.05/1.46 , Y ) ) ) ],
% 1.05/1.46 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ), ~(
% 1.05/1.46 hBOOL( hAPP( 'c_lessequals'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X
% 1.05/1.46 ) ) ) ) ],
% 1.05/1.46 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ), ~(
% 1.05/1.46 hBOOL( hAPP( 'c_lessequals'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X
% 1.05/1.46 ) ) ) ) ],
% 1.05/1.46 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), =(
% 1.05/1.46 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.46 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.05/1.46 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 1.05/1.46 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.05/1.46 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 1.05/1.46 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.05/1.46 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.46 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.46 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.46 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.46 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.46 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.05/1.46 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.05/1.46 , X ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.05/1.46 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 1.05/1.46 ), X ), Y ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( Y,
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 1.05/1.46 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 1.05/1.46 , X ) ) ],
% 1.05/1.46 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), ~( =(
% 1.05/1.46 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y ) ), =( Y,
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.05/1.46 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.05/1.46 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 1.05/1.46 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.05/1.46 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ), =( Z,
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.05/1.46 ) ],
% 1.05/1.46 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.05/1.46 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.05/1.46 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.05/1.46 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.05/1.46 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.05/1.46 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z,
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.46 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 1.05/1.46 ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ],
% 1.05/1.46 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 1.05/1.46 'class_RealVector_Oreal__normed__field'( X ) ), ~( =(
% 1.05/1.46 'c_Transcendental_Oexp'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ]
% 1.05/1.46 ,
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.05/1.46 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.05/1.46 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.46 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.05/1.46 , Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.05/1.46 ) ],
% 1.05/1.46 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 1.05/1.46 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ],
% 1.05/1.46 [ =( 'c_SetInterval_Oord__class_OlessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.46 'tc_nat' ), 'tc_nat' ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.05/1.46 'tc_nat', 'tc_bool' ) ) ) ],
% 1.05/1.46 [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 1.05/1.46 ) ), Y ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X )
% 1.05/1.46 , 'c_HOL_Oone__class_Oone'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X
% 1.05/1.46 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.05/1.46 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 1.05/1.46 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 1.05/1.46 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL(
% 1.05/1.46 hAPP( 'c_lessequals'( Z, X ), Y ) ) ) ],
% 1.05/1.46 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.05/1.46 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.05/1.46 , X ) ) ), =( Y, Z ) ],
% 1.05/1.46 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 1.05/1.46 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.05/1.46 , X ) ) ), =( Y, Z ) ],
% 1.05/1.46 [ =( 'c_HOL_Oord__class_Oless'( 'v_n', 'tc_nat' ), 'c_lessequals'(
% 1.05/1.46 'c_Suc'( 'v_n' ), 'tc_nat' ) ) ],
% 1.05/1.46 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( Z, X ), Y ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ),
% 1.05/1.46 Z ) ) ) ],
% 1.05/1.46 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ), =( Z, Y ) ],
% 1.05/1.46 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( Z, X ), Y ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ),
% 1.05/1.46 Z ) ) ) ],
% 1.05/1.46 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), hBOOL(
% 1.05/1.46 hAPP( 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), X ) ), =( Y, X ) ],
% 1.05/1.46 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), Z ) ), =( Z, Y ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( Z, 'tc_nat' ), Y ) ) ],
% 1.05/1.46 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), hBOOL(
% 1.05/1.46 hAPP( 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), X ) ), =( Y, X ) ],
% 1.05/1.46 [ =( X, Y ), ~( hBOOL( hAPP( 'c_lessequals'( Y, 'tc_nat' ), X ) ) ), ~(
% 1.05/1.46 hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ) ) ],
% 1.05/1.46 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( Y, X ), Z ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, X ),
% 1.05/1.46 Y ) ) ) ],
% 1.05/1.46 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), =( Z, Y ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ) ],
% 1.05/1.46 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ) ],
% 1.05/1.46 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ), =( Z, Y ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.05/1.46 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Y, X ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.05/1.46 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 1.05/1.46 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~(
% 1.05/1.46 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.05/1.46 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), X ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.05/1.46 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Otimes__class_Otimes'( Z,
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ],
% 1.05/1.46 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'tc_nat' ), Y )
% 1.05/1.46 ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, 'tc_nat' ), Y ) ) ),
% 1.05/1.46 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Z ) ) ) ],
% 1.05/1.46 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), 'c_Suc'( X ) )
% 1.05/1.46 ) ],
% 1.05/1.46 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), 'c_Suc'( X ) )
% 1.05/1.46 ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.05/1.46 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.05/1.46 X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.05/1.46 , Z, X ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.05/1.46 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.05/1.46 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 1.05/1.46 X ), X ) ) ],
% 1.05/1.46 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), ~( hBOOL(
% 1.05/1.46 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Z,
% 1.05/1.46 'tc_nat' ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ) )
% 1.05/1.46 ) ) ],
% 1.05/1.46 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), ~( hBOOL(
% 1.05/1.46 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, X,
% 1.05/1.46 'tc_nat' ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ) )
% 1.05/1.46 ) ) ],
% 1.05/1.46 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.05/1.46 , X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.05/1.46 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'(
% 1.05/1.46 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ),
% 1.05/1.46 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.05/1.46 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.46 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ), Y ) ) ), ~(
% 1.05/1.46 hBOOL( hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.46 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ) ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.05/1.46 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'(
% 1.05/1.46 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ),
% 1.05/1.46 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.05/1.46 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.05/1.46 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.05/1.46 X ), Z ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.05/1.46 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'(
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.05/1.46 Y, X ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ),
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ),
% 1.05/1.46 ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X
% 1.05/1.46 ), X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ) ],
% 1.05/1.46 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), ~( hBOOL(
% 1.05/1.46 hAPP( 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.05/1.46 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.05/1.46 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'(
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ), X
% 1.05/1.46 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.05/1.46 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T,
% 1.05/1.46 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ), Y ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.05/1.46 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'(
% 1.05/1.46 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.05/1.46 , X ), X ), X ), T ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ), X
% 1.05/1.46 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.05/1.46 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.05/1.46 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X ),
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ), X
% 1.05/1.46 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.05/1.46 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( Y, X ), 'c_HOL_Oinverse__class_Odivide'( T,
% 1.05/1.46 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.05/1.46 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X ),
% 1.05/1.46 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.05/1.46 , X ), X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ),
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ), X
% 1.05/1.46 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.05/1.46 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), ~( hBOOL(
% 1.05/1.46 hAPP( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ), ~( hBOOL(
% 1.05/1.46 hAPP( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ),
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL(
% 1.05/1.46 hAPP( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL(
% 1.05/1.46 hAPP( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ),
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.05/1.46 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.05/1.46 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.05/1.46 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.05/1.46 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.05/1.46 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.05/1.46 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.46 X ), X ), Y ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.05/1.46 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.05/1.46 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.05/1.46 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.46 X ), X ), Z ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.05/1.46 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 1.05/1.46 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ]
% 1.05/1.46 ,
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.05/1.46 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 1.05/1.46 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ]
% 1.05/1.46 ,
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.05/1.46 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 1.05/1.46 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, T
% 1.05/1.46 , X ), Z, X ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.05/1.46 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 1.05/1.46 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( T, Y
% 1.05/1.46 , X ), Z, X ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.05/1.46 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X )
% 1.05/1.46 , 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( Y, T, X ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ), ~( hBOOL(
% 1.05/1.46 hAPP( 'c_lessequals'( Z, X ), T ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( Y, T, X ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ), ~( hBOOL(
% 1.05/1.46 hAPP( 'c_lessequals'( Z, X ), T ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL(
% 1.05/1.46 hAPP( 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( Y, T, X ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL(
% 1.05/1.46 hAPP( 'c_lessequals'( T, X ), Z ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL(
% 1.05/1.46 hAPP( 'c_lessequals'( T, X ), Y ) ) ) ],
% 1.05/1.46 [ ~( =( X, 'c_Suc'( X ) ) ) ],
% 1.05/1.46 [ ~( =( 'c_Suc'( X ), X ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 1.05/1.46 ), =( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Z ) ],
% 1.05/1.46 [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 1.05/1.46 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 1.05/1.46 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), ~( hBOOL(
% 1.05/1.46 hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ) ],
% 1.05/1.46 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 1.05/1.46 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 1.05/1.46 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ],
% 1.05/1.46 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.05/1.46 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.05/1.46 , X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL(
% 1.05/1.46 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ), ~(
% 1.05/1.46 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), U ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.05/1.46 [ hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.05/1.46 'tc_nat' ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ) )
% 1.05/1.46 ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Z ) ) ) ],
% 1.05/1.46 [ hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.05/1.46 'tc_nat' ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) )
% 1.05/1.46 ), ~( hBOOL( hAPP( 'c_lessequals'( Y, 'tc_nat' ), Z ) ) ) ],
% 1.05/1.46 [ hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.05/1.46 'tc_nat' ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) )
% 1.05/1.46 ), ~( hBOOL( hAPP( 'c_lessequals'( Y, 'tc_nat' ), Z ) ) ) ],
% 1.05/1.46 [ hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.05/1.46 'tc_nat' ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ) )
% 1.05/1.46 ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Z ) ) ) ],
% 1.05/1.46 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), 'c_Suc'( Y ) )
% 1.05/1.46 ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ) ) ]
% 1.05/1.46 ,
% 1.05/1.46 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), ~( hBOOL(
% 1.05/1.46 hAPP( 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'tc_nat' ), Y ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 1.05/1.46 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.05/1.46 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.05/1.46 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.05/1.46 , Z, X ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), X
% 1.05/1.46 ), 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.05/1.46 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.05/1.46 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.05/1.46 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) )
% 1.05/1.46 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.46 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ), Z ) ) ) ],
% 1.05/1.46 [ ~( =( 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X ), Y, 'tc_nat' ),
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X ), Z, 'tc_nat' ) ) ), =( Y, Z )
% 1.05/1.46 ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.05/1.46 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'(
% 1.05/1.46 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.05/1.46 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) )
% 1.05/1.46 , ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.46 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ), Z ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.05/1.46 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'(
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.05/1.46 , Z, X ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.05/1.46 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.05/1.46 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'(
% 1.05/1.46 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.05/1.46 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( T, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.05/1.46 ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.46 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ), Z ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.05/1.46 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'(
% 1.05/1.46 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.05/1.46 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z
% 1.05/1.46 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.05/1.46 Y, X ), T, X ) ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ],
% 1.05/1.46 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), =( Y, Z ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( Y, X ), Z ) ) ) ],
% 1.05/1.46 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.05/1.46 Y, X ), Z ) ) ) ],
% 1.05/1.46 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), =( X, Y
% 1.05/1.46 ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ) ) ],
% 1.05/1.46 [ =( X, Y ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y )
% 1.05/1.46 ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ) ) ],
% 1.05/1.46 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), =( X, Y
% 1.05/1.46 ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ) ) ],
% 1.05/1.46 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), =( Y, Z ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( Y, X ), Z ) ) ) ],
% 1.05/1.46 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.05/1.46 Y, X ), Z ) ) ), =( Y, Z ) ],
% 1.05/1.46 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( Y, X ), Z ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.05/1.46 Y, X ), Z ) ) ],
% 1.05/1.46 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.05/1.46 Y, X ), Z ) ) ) ],
% 1.05/1.46 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.05/1.46 Y, X ), Z ) ) ), =( Z, Y ) ],
% 1.05/1.46 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), =( Z, Y ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( Y, X ), Z ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.05/1.46 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.05/1.46 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 1.05/1.46 Y, X ), X ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL(
% 1.05/1.46 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ]
% 1.05/1.46 ,
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL(
% 1.05/1.46 hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ]
% 1.05/1.46 ,
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL(
% 1.05/1.46 hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ]
% 1.05/1.46 ,
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( Y, Y, X ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL(
% 1.05/1.46 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ]
% 1.05/1.46 ,
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL(
% 1.05/1.46 hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ]
% 1.05/1.46 ,
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.05/1.46 'c_HOL_Oinverse__class_Oinverse'( Y, X ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ),
% 1.05/1.46 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.05/1.46 ), X ), Y ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), Y ) ), ~(
% 1.05/1.46 hBOOL( hAPP( 'c_lessequals'( Z, X ), 'c_HOL_Oone__class_Oone'( X ) ) ) )
% 1.05/1.46 , ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z
% 1.05/1.46 ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.05/1.46 X ), Y ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), Z ) ), ~(
% 1.05/1.46 hBOOL( hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ) )
% 1.05/1.46 , ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.05/1.46 ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.05/1.46 X ), Z ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.05/1.46 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.46 X ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 1.05/1.46 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.46 X ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 1.05/1.46 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.46 X ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ),
% 1.05/1.46 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 1.05/1.46 , X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ) ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 1.05/1.46 'c_HOL_Oone__class_Oone'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X )
% 1.05/1.46 , 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), X ), Y ) ), hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL(
% 1.05/1.46 hAPP( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 1.05/1.46 'c_HOL_Oone__class_Oone'( X ) ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( hAPP( 'c_Power_Opower__class_Opower'( Y, X ), 'c_Suc'( T
% 1.05/1.46 ) ), X ), hAPP( 'c_Power_Opower__class_Opower'( Z, X ), 'c_Suc'( T ) ) )
% 1.05/1.46 ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X ),
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP(
% 1.05/1.46 'c_Power_Opower__class_Opower'( Y, X ),
% 1.05/1.46 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), X ),
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( hAPP(
% 1.05/1.46 'c_Power_Opower__class_Opower'( Y, X ), 'c_Suc'( Z ) ), hAPP(
% 1.05/1.46 'c_Power_Opower__class_Opower'( T, X ), 'c_Suc'( Z ) ) ) ), =( Y, T ),
% 1.05/1.46 ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T )
% 1.05/1.46 ) ), ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.05/1.46 ), Y ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( hAPP( 'c_Power_Opower__class_Opower'( Y, X ),
% 1.05/1.46 T ), X ), hAPP( 'c_Power_Opower__class_Opower'( Z, X ), T ) ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.05/1.46 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.05/1.46 'c_Power_Opower__class_Opower'( Y, X ),
% 1.05/1.46 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), X ),
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.05/1.46 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.05/1.46 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.05/1.46 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 1.05/1.46 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.05/1.46 X ) ) ],
% 1.05/1.46 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.05/1.46 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.05/1.46 , U, X ) ) ), hBOOL( hAPP( 'c_lessequals'( U, X ), T ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( Z, X ), Y ) ) ) ],
% 1.05/1.46 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.05/1.46 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.05/1.46 , U, X ) ) ), hBOOL( hAPP( 'c_lessequals'( Z, X ), Y ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( U, X ), T ) ) ) ],
% 1.05/1.46 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.05/1.46 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.05/1.46 , U, X ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ), U ) ), ~(
% 1.05/1.46 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ) ],
% 1.05/1.46 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.05/1.46 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.05/1.46 , U, X ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~(
% 1.05/1.46 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ), U ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.05/1.46 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 1.05/1.46 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 1.05/1.46 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 1.05/1.46 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 1.05/1.46 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.05/1.46 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.05/1.46 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 1.05/1.46 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.05/1.46 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.05/1.46 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 1.05/1.46 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.05/1.46 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.05/1.46 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 1.05/1.46 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.05/1.46 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.05/1.46 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.05/1.46 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.05/1.46 X ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ) ],
% 1.05/1.46 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.05/1.46 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 1.05/1.46 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.05/1.46 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), T, X ),
% 1.05/1.46 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.05/1.46 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 1.05/1.46 , T, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), X ) ), =( Z
% 1.05/1.46 , 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.05/1.46 ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.05/1.46 'class_Int_Onumber'( X ) ), ~( =( 'c_HOL_Oinverse__class_Odivide'( Y, Z,
% 1.05/1.46 X ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), =( Y,
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( T, X )
% 1.05/1.46 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 1.05/1.46 ), 'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( Z, T, X ) ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.05/1.46 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), T ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 1.05/1.46 ), 'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( Z, T, X ) ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) )
% 1.05/1.46 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ), Z ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.05/1.46 'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.05/1.46 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.05/1.46 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ),
% 1.05/1.46 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( U, X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), U ) ) )
% 1.05/1.46 , ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), T ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.05/1.46 'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.05/1.46 , Z, X ), Z, X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), =( Z,
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.05/1.46 'class_Int_Onumber'( X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.46 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.05/1.46 , X ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y ), =(
% 1.05/1.46 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.05/1.46 ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.05/1.46 'class_Int_Onumber'( X ) ), =( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.46 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.05/1.46 , X ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), =(
% 1.05/1.46 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.05/1.46 ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.05/1.46 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.05/1.46 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.05/1.46 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), X
% 1.05/1.46 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( T, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.05/1.46 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.05/1.46 X ), T ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.05/1.46 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.05/1.46 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.05/1.46 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.05/1.46 X ), Z ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.05/1.46 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.05/1.46 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.05/1.46 'class_Int_Onumber'( X ) ), =( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.05/1.46 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.46 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), Z, X ) ), =( Z,
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T
% 1.05/1.46 , X ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( T, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.05/1.46 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.46 Y, T, X ), X ), Z ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T
% 1.05/1.46 , X ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X
% 1.05/1.46 ) ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T
% 1.05/1.46 , X ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ),
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X
% 1.05/1.46 ) ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X
% 1.05/1.46 ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ),
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ),
% 1.05/1.46 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ),
% 1.05/1.46 'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 1.05/1.46 ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.05/1.46 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 1.05/1.46 ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 1.05/1.46 Y ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 1.05/1.46 ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ),
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 1.05/1.46 Y ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.05/1.46 T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ),
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ),
% 1.05/1.46 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.05/1.46 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), Y ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.05/1.46 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.05/1.46 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ),
% 1.05/1.46 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.05/1.46 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.05/1.46 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.05/1.46 X ), Z ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.05/1.46 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.05/1.46 Y, X ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ),
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ),
% 1.05/1.46 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.05/1.46 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ),
% 1.05/1.46 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.05/1.46 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X
% 1.05/1.46 ), 'c_HOL_Oinverse__class_Odivide'( Z,
% 1.05/1.46 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.05/1.46 , hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.05/1.46 'c_Int_Onumber__class_Onumber__of'( T, X ), X ),
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.05/1.46 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.05/1.46 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X
% 1.05/1.46 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ), X
% 1.05/1.46 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.05/1.46 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Oinverse__class_Odivide'( T,
% 1.05/1.46 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.05/1.46 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.05/1.46 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.05/1.46 , X ), X ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ), X
% 1.05/1.46 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.05/1.46 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.05/1.46 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ), X
% 1.05/1.46 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.05/1.46 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T,
% 1.05/1.46 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ), Y ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.05/1.46 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.05/1.46 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.05/1.46 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.46 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), Z, X ),
% 1.05/1.46 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.05/1.46 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.05/1.46 , ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.05/1.46 ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.05/1.46 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.05/1.46 , ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.05/1.46 ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T
% 1.05/1.46 , X ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X
% 1.05/1.46 ) ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), Z ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T
% 1.05/1.46 , X ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ),
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X
% 1.05/1.46 ) ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), Z ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 1.05/1.46 ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 1.05/1.46 Y ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 1.05/1.46 ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ),
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 1.05/1.46 Y ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.05/1.46 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.05/1.46 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.05/1.46 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.05/1.46 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.46 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), Z, X ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.05/1.46 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.05/1.46 X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ), =(
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.05/1.46 , T, X ), Z ), =( T, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 1.05/1.46 ), 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( U, X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), U ) ) )
% 1.05/1.46 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ), ~( hBOOL(
% 1.05/1.46 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ]
% 1.05/1.46 ,
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ),
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.05/1.46 , ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.05/1.46 ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ),
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.05/1.46 , ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.05/1.46 ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T
% 1.05/1.46 , X ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) )
% 1.05/1.46 ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 1.05/1.46 ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.05/1.46 ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T
% 1.05/1.46 , X ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 1.05/1.46 Z ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.05/1.46 T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Oinverse__class_Odivide'( T, Z
% 1.05/1.46 , X ) ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 1.05/1.46 ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X
% 1.05/1.46 ) ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X
% 1.05/1.46 ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X
% 1.05/1.46 ), Z ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.05/1.46 'class_Int_Onumber'( X ) ), =( Y, 'c_HOL_Oinverse__class_Odivide'(
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.05/1.46 ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), =(
% 1.05/1.46 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.05/1.46 ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.05/1.46 'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.05/1.46 ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y ), =(
% 1.05/1.46 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.05/1.46 ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.05/1.46 'class_Int_Onumber'( X ) ), =( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.05/1.46 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.05/1.46 ), X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 1.05/1.46 ), 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( U, X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), U ) ) )
% 1.05/1.46 , ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), T ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) )
% 1.05/1.46 ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( Y, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ),
% 1.05/1.46 ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.05/1.46 ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, X ),
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( Y, T, X ) ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), Z ) ) ) ]
% 1.05/1.46 ,
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( Y, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ),
% 1.05/1.46 ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.05/1.46 ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ),
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ]
% 1.05/1.46 ,
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.05/1.46 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.05/1.46 X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ),
% 1.05/1.46 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), T ) ),
% 1.05/1.46 ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T )
% 1.05/1.46 ) ), ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z
% 1.05/1.46 , X ), X ), Y ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ),
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), T ) ),
% 1.05/1.46 ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T )
% 1.05/1.46 ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ),
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ]
% 1.05/1.46 ,
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.05/1.46 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.05/1.46 X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.05/1.46 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), Y ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( hAPP( 'c_Power_Opower__class_Opower'( Y, X ),
% 1.05/1.46 Z ), X ), hAPP( 'c_Power_Opower__class_Opower'( T, X ), Z ) ) ), ~( hBOOL(
% 1.05/1.46 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.05/1.46 'tc_nat' ), Z ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.05/1.46 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.05/1.46 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.05/1.46 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.05/1.46 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.05/1.46 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oone__class_Oone'( X ), Y,
% 1.05/1.46 X ) ],
% 1.05/1.46 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 1.05/1.46 ],
% 1.05/1.46 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.05/1.46 ],
% 1.05/1.46 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.05/1.46 ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.05/1.46 ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 1.05/1.46 ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.05/1.46 ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 1.05/1.46 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 1.05/1.46 ), =( Y, 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.05/1.46 [ hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.05/1.46 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.05/1.46 [ ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.46 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ]
% 1.05/1.46 ,
% 1.05/1.46 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.46 'tc_nat' ), 'tc_nat' ), X ) ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.05/1.46 ) ) ],
% 1.05/1.46 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.05/1.46 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.05/1.46 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.05/1.46 ), X, 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.05/1.46 [ =( 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.46 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.05/1.46 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) ) ), =( Y, Z ), =( X,
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.05/1.46 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) ) ), =( X,
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y, Z ) ],
% 1.05/1.46 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ) ) ), =( Y,
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, Z ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), hBOOL(
% 1.05/1.46 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL(
% 1.05/1.46 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ]
% 1.05/1.46 ,
% 1.05/1.46 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ouminus__class_Ouminus'(
% 1.05/1.46 Y, X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.05/1.46 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.05/1.46 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'(
% 1.05/1.46 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.05/1.46 , X ), X ), X ), T ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ), X
% 1.05/1.46 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.05/1.46 Y, X ), 'c_HOL_Otimes__class_Otimes'( T,
% 1.05/1.46 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.05/1.46 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X ),
% 1.05/1.46 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.05/1.46 , X ), X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ),
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ), X
% 1.05/1.46 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.05/1.46 ), X ), X ), Z ) ) ) ],
% 1.05/1.46 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.05/1.46 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 1.05/1.46 T, X ), X ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.05/1.46 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.05/1.46 X ), Z, X ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.05/1.46 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 1.05/1.46 T, X ), X ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.05/1.46 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.05/1.46 X ), T, X ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.05/1.46 , X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.05/1.46 T, X ), X ) ) ],
% 1.05/1.46 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.05/1.46 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X,
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.05/1.46 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.05/1.46 X ), T, X ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( Y, 'tc_nat' ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.05/1.46 hAPP( 'c_Power_Opower__class_Opower'( T, X ), Y ), X ), hAPP(
% 1.05/1.46 'c_Power_Opower__class_Opower'( T, X ), Z ) ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ), T ) ) ) ]
% 1.05/1.46 ,
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( Y, 'tc_nat' ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.05/1.46 hAPP( 'c_Power_Opower__class_Opower'( T, X ), Y ), X ), hAPP(
% 1.05/1.46 'c_Power_Opower__class_Opower'( T, X ), Z ) ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ), T ) ) ) ]
% 1.05/1.46 ,
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( hAPP( 'c_Power_Opower__class_Opower'( Y, X ), Z ), X ),
% 1.05/1.46 hAPP( 'c_Power_Opower__class_Opower'( Y, X ), T ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( Z, 'tc_nat' ), T ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ), Y ) ) ) ]
% 1.05/1.46 ,
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.05/1.46 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'(
% 1.05/1.46 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ),
% 1.05/1.46 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.05/1.46 , ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.46 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ) ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.05/1.46 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X ),
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 1.05/1.46 , T, X ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ),
% 1.05/1.46 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.05/1.46 'c_HOL_Oinverse__class_Oinverse'( Y, X ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ), ~( hBOOL(
% 1.05/1.46 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.05/1.46 ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), ~( hBOOL(
% 1.05/1.46 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ), ~( hBOOL(
% 1.05/1.46 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( Z, Y, X ) ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ), ~( hBOOL(
% 1.05/1.46 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), ~( hBOOL(
% 1.05/1.46 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( Z, Y, X ) ) ) ) ],
% 1.05/1.46 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 1.05/1.46 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.05/1.46 X ), X ) ) ],
% 1.05/1.46 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 1.05/1.46 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.05/1.46 X ), X ) ) ],
% 1.05/1.46 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 1.05/1.46 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.05/1.46 X ), X ) ) ],
% 1.05/1.46 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 1.05/1.46 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.05/1.46 X ), X ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =(
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.05/1.46 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.46 Y, Y, X ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.05/1.46 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.46 Y, Z, X ) ) ],
% 1.05/1.46 [ hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.05/1.46 'tc_nat' ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z, T, 'tc_nat' ) )
% 1.05/1.46 ), ~( hBOOL( hAPP( 'c_lessequals'( Y, 'tc_nat' ), T ) ) ), ~( hBOOL(
% 1.05/1.46 hAPP( 'c_lessequals'( X, 'tc_nat' ), Z ) ) ) ],
% 1.05/1.46 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ),
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Otimes__class_Otimes'( X, X,
% 1.05/1.46 'tc_nat' ), 'tc_nat' ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( T, U, X ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL(
% 1.05/1.46 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~(
% 1.05/1.46 hBOOL( hAPP( 'c_lessequals'( Z, X ), U ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( T, U, X ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL(
% 1.05/1.46 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ), ~(
% 1.05/1.46 hBOOL( hAPP( 'c_lessequals'( Z, X ), U ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.05/1.46 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), X ) ), hBOOL(
% 1.05/1.46 hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 1.05/1.46 [ ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ) ), ~(
% 1.05/1.46 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), 'c_Suc'( X ) ) ) )
% 1.05/1.46 ],
% 1.05/1.46 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), 'c_Suc'( Y ) )
% 1.05/1.46 ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), X ) ) ],
% 1.05/1.46 [ =( X, 'c_Suc'( Y ) ), hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y )
% 1.05/1.46 ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), 'c_Suc'( Y ) ) ) ) ]
% 1.05/1.46 ,
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.05/1.46 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.05/1.46 X ), Y ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( Y, T, X ) ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( T, Y, X ) ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.05/1.46 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.05/1.46 X ), Y ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ),
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( T, Y, X ) ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ),
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( Y, T, X ) ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ), ~(
% 1.05/1.46 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X
% 1.05/1.46 ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ) ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.05/1.46 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.05/1.46 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 1.05/1.46 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.05/1.46 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 1.05/1.46 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), X ) ), =( Z,
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.05/1.46 ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.05/1.46 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 1.05/1.46 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 1.05/1.46 Z, X ), X ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.05/1.46 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 1.05/1.46 Z, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.05/1.46 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 1.05/1.46 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.05/1.46 , X ), Z, X ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.05/1.46 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.05/1.46 , X ), Z, X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ]
% 1.05/1.46 ,
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( hBOOL(
% 1.05/1.46 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X )
% 1.05/1.46 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, X
% 1.05/1.46 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), hBOOL(
% 1.05/1.46 hAPP( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, X
% 1.05/1.46 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), hBOOL(
% 1.05/1.46 hAPP( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), hBOOL(
% 1.05/1.46 hAPP( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, X
% 1.05/1.46 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), hBOOL(
% 1.05/1.46 hAPP( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), hBOOL(
% 1.05/1.46 hAPP( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X
% 1.05/1.46 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.05/1.46 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.05/1.46 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y
% 1.05/1.46 , X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.05/1.46 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.05/1.46 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Z
% 1.05/1.46 , X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ), =( Z,
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.05/1.46 ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.05/1.46 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X
% 1.05/1.46 ), 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z,
% 1.05/1.46 X ), T, X ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X
% 1.05/1.46 ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.05/1.46 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.05/1.46 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ),
% 1.05/1.46 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.05/1.46 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( T, X )
% 1.05/1.46 , Z, X ) ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.05/1.46 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'(
% 1.05/1.46 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.05/1.46 , X ), X ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.05/1.46 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ),
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.05/1.46 ), X ), X ), Y ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ),
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.05/1.46 ), X ) ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.05/1.46 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X ),
% 1.05/1.46 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.05/1.46 , X ), X ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.05/1.46 'c_Int_Onumber__class_Onumber__of'( T, X ), X ),
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z
% 1.05/1.46 , X ), 'c_HOL_Otimes__class_Otimes'( Y,
% 1.05/1.46 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.05/1.46 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ), Z ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), T ) ),
% 1.05/1.46 ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T )
% 1.05/1.46 ) ), ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z
% 1.05/1.46 , X ), X ), Y ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), T ) ),
% 1.05/1.46 ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T )
% 1.05/1.46 ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ),
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X
% 1.05/1.46 ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( Y, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ),
% 1.05/1.46 ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.05/1.46 ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, X ),
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( Y, T, X ) ) ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ]
% 1.05/1.46 ,
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( Y, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ),
% 1.05/1.46 ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.05/1.46 ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ),
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), Z ) ) ) ],
% 1.05/1.46 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_Suc'(
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ),
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.05/1.46 ) ), 'tc_nat' ), X ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.05/1.46 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ), Y ) ) ) ]
% 1.05/1.46 ,
% 1.05/1.46 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL(
% 1.05/1.46 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.05/1.46 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ) ) ],
% 1.05/1.46 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.05/1.46 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.05/1.46 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.05/1.46 ), X ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.05/1.46 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ),
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.05/1.46 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T,
% 1.05/1.46 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ), Y ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.05/1.46 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.05/1.46 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.05/1.46 , X ), X ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.05/1.46 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ),
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T,
% 1.05/1.46 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ), Y ) ) ), hBOOL(
% 1.05/1.46 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.05/1.46 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.05/1.46 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X
% 1.05/1.46 ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'(
% 1.05/1.46 T, X ), X ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.05/1.46 'c_Int_Onumber__class_Onumber__of'( T, X ), X ),
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.05/1.46 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.05/1.46 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.05/1.46 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X
% 1.05/1.46 ), 'c_HOL_Oinverse__class_Odivide'( Z,
% 1.05/1.46 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ), X
% 1.05/1.46 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Otimes__class_Otimes'( Y,
% 1.05/1.46 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ) ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.05/1.46 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ),
% 1.05/1.46 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.05/1.46 'c_HOL_Oinverse__class_Oinverse'( Y, X ) ) ) ) ],
% 1.05/1.46 [ hBOOL( hAPP( 'c_lessequals'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.46 'tc_nat' ) ), 'tc_nat' ), X ) ), ~( hBOOL( hAPP( 'c_lessequals'( 'c_Suc'(
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ),
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_nat' ) ) ) ) ],
% 1.05/1.46 [ hBOOL( hAPP( 'c_lessequals'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.46 'tc_nat' ) ), 'tc_nat' ), X ) ), ~( hBOOL( hAPP( 'c_lessequals'( 'c_Suc'(
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ),
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ) ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.05/1.46 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.05/1.46 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 1.05/1.46 'c_HOL_Oinverse__class_Oinverse'( Y, X ) ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X )
% 1.05/1.46 , 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.05/1.46 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.05/1.46 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.05/1.46 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 1.05/1.46 'c_HOL_Oinverse__class_Oinverse'( Y, X ) ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X )
% 1.05/1.46 , 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.05/1.46 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ) ) ],
% 1.05/1.46 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), 'c_Suc'( Y ) )
% 1.05/1.46 ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ) ) ],
% 1.05/1.46 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), 'c_Suc'( Y ) ) ) ) ],
% 1.05/1.46 [ ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), X ) ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), ~( hBOOL(
% 1.05/1.46 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.05/1.46 'c_HOL_Oinverse__class_Oinverse'( Y, X ) ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.05/1.46 'c_HOL_Oinverse__class_Oinverse'( Y, X ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( 'class_Int_Onumber'( X )
% 1.05/1.46 ), =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 1.05/1.46 X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ),
% 1.05/1.46 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.05/1.46 'c_Int_Onumber__class_Onumber__of'( T, X ), X ),
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.05/1.46 ), X ), X ) ) ],
% 1.05/1.46 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL(
% 1.05/1.46 hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) )
% 1.05/1.46 ) ],
% 1.05/1.46 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ), ~(
% 1.05/1.46 hBOOL( hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.05/1.46 ) ],
% 1.05/1.46 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), ~( hBOOL(
% 1.05/1.46 hAPP( 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), Y ) )
% 1.05/1.46 ) ],
% 1.05/1.46 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), Y ) ), ~(
% 1.05/1.46 hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) )
% 1.05/1.46 ) ],
% 1.05/1.46 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL(
% 1.05/1.46 hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) )
% 1.05/1.46 ) ],
% 1.05/1.46 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ), ~(
% 1.05/1.46 hBOOL( hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.05/1.46 ) ],
% 1.05/1.46 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), ~( hBOOL(
% 1.05/1.46 hAPP( 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), Y ) )
% 1.05/1.46 ) ],
% 1.05/1.46 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), Y ) ), ~(
% 1.05/1.46 hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) )
% 1.05/1.46 ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.05/1.46 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.05/1.46 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.05/1.46 'c_Ring__and__Field_Odvd__class_Odvd'( Z, T, X ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.05/1.46 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.05/1.46 , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.05/1.46 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.05/1.46 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'(
% 1.05/1.46 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ),
% 1.05/1.46 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.05/1.46 , ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.46 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ), Y ) ) ), ~(
% 1.05/1.46 hBOOL( hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.46 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ) ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.05/1.46 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'(
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.05/1.46 ), X ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.05/1.46 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ),
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.05/1.46 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T,
% 1.05/1.46 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ), Y ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.05/1.46 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'(
% 1.05/1.46 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.05/1.46 , X ), X ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.05/1.46 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ),
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.05/1.46 ), X ), X ), Y ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.05/1.46 Z, X ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.05/1.46 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X ),
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.05/1.46 ), X ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.05/1.46 'c_Int_Onumber__class_Onumber__of'( T, X ), X ),
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.05/1.46 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( Z, X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.05/1.46 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.05/1.46 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X ),
% 1.05/1.46 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.05/1.46 , X ), X ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.05/1.46 'c_Int_Onumber__class_Onumber__of'( T, X ), X ),
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z
% 1.05/1.46 , X ), 'c_HOL_Otimes__class_Otimes'( Y,
% 1.05/1.46 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ) ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.05/1.46 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.05/1.46 'c_Ring__and__Field_Odvd__class_Odvd'( hAPP(
% 1.05/1.46 'c_Power_Opower__class_Opower'( Y, X ), Z ), hAPP(
% 1.05/1.46 'c_Power_Opower__class_Opower'( Y, X ), T ), X ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( Z, 'tc_nat' ), T ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.05/1.46 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.05/1.46 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ),
% 1.05/1.46 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.05/1.46 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.46 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ), Y ) ) ), hBOOL(
% 1.05/1.46 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z
% 1.05/1.46 ) ) ],
% 1.05/1.46 [ ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ),
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 1.05/1.46 [ ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ),
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 1.05/1.46 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.05/1.46 ), X, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 1.05/1.46 [ =( 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.46 'tc_nat' ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Y,
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 1.05/1.46 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( X, 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) )
% 1.05/1.46 ) ],
% 1.05/1.46 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X,
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.05/1.46 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 1.05/1.46 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 1.05/1.46 [ hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.05/1.46 'tc_nat' ), X ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( hAPP( 'c_Power_Opower__class_Opower'( Y, X ),
% 1.05/1.46 Z ), X ), hAPP( 'c_Power_Opower__class_Opower'( Y, X ), T ) ) ), ~( hBOOL(
% 1.05/1.46 hAPP( 'c_HOL_Oord__class_Oless'( Z, 'tc_nat' ), T ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ), Y ) ) ) ]
% 1.05/1.46 ,
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), Z ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( hAPP( 'c_Power_Opower__class_Opower'( T, X ),
% 1.05/1.46 Y ), X ), hAPP( 'c_Power_Opower__class_Opower'( T, X ), Z ) ) ) ), ~(
% 1.05/1.46 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X
% 1.05/1.46 ), T ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( hAPP( 'c_Power_Opower__class_Opower'( Y, X ),
% 1.05/1.46 Z ), X ), hAPP( 'c_Power_Opower__class_Opower'( Y, X ), T ) ) ), ~( hBOOL(
% 1.05/1.46 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 1.05/1.46 ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, 'tc_nat' ), T ) ) ) ]
% 1.05/1.46 ,
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), Z ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( hAPP( 'c_Power_Opower__class_Opower'( T, X ),
% 1.05/1.46 Y ), X ), hAPP( 'c_Power_Opower__class_Opower'( T, X ), Z ) ) ) ), ~(
% 1.05/1.46 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X
% 1.05/1.46 ), T ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ), hAPP(
% 1.05/1.46 'c_Power_Opower__class_Opower'( Y, X ), 'c_Suc'( Z ) ) ) ), ~( hBOOL(
% 1.05/1.46 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 1.05/1.46 ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), =( hAPP(
% 1.05/1.46 'c_Power_Opower__class_Opower'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.05/1.46 ), Z ), 'c_HOL_Otimes__class_Otimes'( hAPP(
% 1.05/1.46 'c_Power_Opower__class_Opower'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.05/1.46 'c_HOL_Oone__class_Oone'( X ), X ), X ), Z ), hAPP(
% 1.05/1.46 'c_Power_Opower__class_Opower'( Y, X ), Z ), X ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( hAPP( 'c_Power_Opower__class_Opower'( Y, X ), Z ), X ),
% 1.05/1.46 hAPP( 'c_Power_Opower__class_Opower'( Y, X ), T ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), X ), Y ) ) ), ~( hBOOL(
% 1.05/1.46 hAPP( 'c_lessequals'( Z, 'tc_nat' ), T ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( hAPP( 'c_Power_Opower__class_Opower'( Y, X ),
% 1.05/1.46 Z ), X ), 'c_HOL_Otimes__class_Otimes'( Y, hAPP(
% 1.05/1.46 'c_Power_Opower__class_Opower'( Y, X ), Z ), X ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ), Y ) ) ) ]
% 1.05/1.46 ,
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( Y, hAPP( 'c_Power_Opower__class_Opower'( Y
% 1.05/1.46 , X ), Z ), X ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.05/1.46 'c_HOL_Oone__class_Oone'( X ), X ), Y ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.05/1.46 'c_Ring__and__Field_Odvd__class_Odvd'( Y, hAPP(
% 1.05/1.46 'c_Power_Opower__class_Opower'( Y, X ), Z ), X ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.05/1.46 'tc_nat' ), Z ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 'class_Int_Onumber'( X )
% 1.05/1.46 ), =( 'c_HOL_Oinverse__class_Oinverse'(
% 1.05/1.46 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.05/1.46 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ),
% 1.05/1.46 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.05/1.46 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP(
% 1.05/1.46 'c_Power_Opower__class_Opower'( Y, X ), 'c_HOL_Otimes__class_Otimes'( Z,
% 1.05/1.46 T, 'tc_nat' ) ), hAPP( 'c_Power_Opower__class_Opower'( hAPP(
% 1.05/1.46 'c_Power_Opower__class_Opower'( Y, X ), Z ), X ), T ) ) ],
% 1.05/1.46 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( hAPP( 'c_Power_Opower__class_Opower'( Y, X
% 1.05/1.46 ), Z ), Y, X ), 'c_HOL_Otimes__class_Otimes'( Y, hAPP(
% 1.05/1.46 'c_Power_Opower__class_Opower'( Y, X ), Z ), X ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.05/1.46 'c_HOL_Oinverse__class_Oinverse'( hAPP( 'c_Power_Opower__class_Opower'( Y
% 1.05/1.46 , X ), Z ), X ), hAPP( 'c_Power_Opower__class_Opower'(
% 1.05/1.46 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), Z ) ) ],
% 1.05/1.46 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =( hAPP(
% 1.05/1.46 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.05/1.46 X ), T ), 'c_HOL_Otimes__class_Otimes'( hAPP(
% 1.05/1.46 'c_Power_Opower__class_Opower'( Y, X ), T ), hAPP(
% 1.05/1.46 'c_Power_Opower__class_Opower'( Z, X ), T ), X ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP(
% 1.05/1.46 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.05/1.46 X ), T ), 'c_HOL_Otimes__class_Otimes'( hAPP(
% 1.05/1.46 'c_Power_Opower__class_Opower'( Y, X ), T ), hAPP(
% 1.05/1.46 'c_Power_Opower__class_Opower'( Z, X ), T ), X ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP(
% 1.05/1.46 'c_Power_Opower__class_Opower'( hAPP( 'c_Power_Opower__class_Opower'( Y,
% 1.05/1.46 X ), Z ), X ), T ), hAPP( 'c_Power_Opower__class_Opower'( Y, X ),
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( Z, T, 'tc_nat' ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.05/1.46 'c_Ring__and__Field_Odvd__class_Odvd'( hAPP(
% 1.05/1.46 'c_Power_Opower__class_Opower'( Y, X ), Z ), hAPP(
% 1.05/1.46 'c_Power_Opower__class_Opower'( T, X ), Z ), X ), ~(
% 1.05/1.46 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.05/1.46 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.05/1.46 ), X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.05/1.46 Y, X ), Z, X ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.05/1.46 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.05/1.46 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.05/1.46 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.05/1.46 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Odivide'( Y, Z,
% 1.05/1.46 X ), X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.05/1.46 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 1.05/1.46 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, T, X )
% 1.05/1.46 , 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.05/1.46 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.05/1.46 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 1.05/1.46 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ],
% 1.05/1.46 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.05/1.46 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.05/1.46 Z, X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.05/1.46 Y, Z, X ), X ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.05/1.46 , T, X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.46 Y, T, X ), Z, X ) ) ],
% 1.05/1.46 [ ~( 'class_HOL_Oord'( X ) ), ~( 'class_OrderedGroup_Ocomm__monoid__add'(
% 1.05/1.46 Y ) ), =( 'c_Finite__Set_Osetsum'( Z,
% 1.05/1.46 'c_SetInterval_Oord__class_OatLeastLessThan'( T, U, X ), X, Y ),
% 1.05/1.46 'c_Finite__Set_Osetsum'( W, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.05/1.46 T, U, X ), X, Y ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.05/1.46 'c_List_Osko__SetInterval__Xsetsum__ivl__cong__1__1'( T, U, Z, W, X, Y )
% 1.05/1.46 , X ), U ) ) ],
% 1.05/1.46 [ ~( 'class_HOL_Oord'( X ) ), ~( 'class_OrderedGroup_Ocomm__monoid__add'(
% 1.05/1.46 Y ) ), =( 'c_Finite__Set_Osetsum'( Z,
% 1.05/1.46 'c_SetInterval_Oord__class_OatLeastLessThan'( T, U, X ), X, Y ),
% 1.05/1.46 'c_Finite__Set_Osetsum'( W, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.05/1.46 T, U, X ), X, Y ) ), hBOOL( hAPP( 'c_lessequals'( T, X ),
% 1.05/1.46 'c_List_Osko__SetInterval__Xsetsum__ivl__cong__1__1'( T, U, Z, W, X, Y )
% 1.05/1.46 ) ) ],
% 1.05/1.46 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_Series_Osums'(
% 1.05/1.46 Y, 'c_Finite__Set_Osetsum'( Y,
% 1.05/1.46 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.46 'tc_nat' ), Z, 'tc_nat' ), 'tc_nat', X ), X ), hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( Z, 'tc_nat' ),
% 1.05/1.46 'c_Series_Osko__Series__Xseries__zero__1__1'( Y, Z, X ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( hAPP( 'c_Power_Opower__class_Opower'( Y, X ), Z ), X ),
% 1.05/1.46 hAPP( 'c_Power_Opower__class_Opower'( Y, X ), T ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ), ~( hBOOL(
% 1.05/1.46 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ), ~(
% 1.05/1.46 hBOOL( hAPP( 'c_lessequals'( T, 'tc_nat' ), Z ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( hAPP( 'c_Power_Opower__class_Opower'( Y, X ),
% 1.05/1.46 Z ), X ), hAPP( 'c_Power_Opower__class_Opower'( Y, X ), T ) ) ), ~( hBOOL(
% 1.05/1.46 hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 1.05/1.46 ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( T, 'tc_nat' ), Z ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( hAPP( 'c_Power_Opower__class_Opower'( Y, X ),
% 1.05/1.46 'c_Suc'( Z ) ), X ), 'c_HOL_Oone__class_Oone'( X ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ),
% 1.05/1.46 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.05/1.46 ), X ), Y ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, hAPP(
% 1.05/1.46 'c_Power_Opower__class_Opower'( Y, X ), Z ), X ), X ), hAPP(
% 1.05/1.46 'c_Power_Opower__class_Opower'( Y, X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ),
% 1.05/1.46 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.05/1.46 ), X ), Y ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.05/1.46 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.05/1.46 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.05/1.46 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ) ) ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.05/1.46 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.05/1.46 'c_Power_Opower__class_Opower'( Z, X ),
% 1.05/1.46 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.05/1.46 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( hAPP( 'c_Power_Opower__class_Opower'( Z, X ),
% 1.05/1.46 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), X ),
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( hAPP(
% 1.05/1.46 'c_Power_Opower__class_Opower'( Y, X ), Z ), hAPP(
% 1.05/1.46 'c_Power_Opower__class_Opower'( T, X ), Z ) ) ), =( Y, T ), ~( hBOOL(
% 1.05/1.46 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.05/1.46 'tc_nat' ), Z ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ), hAPP(
% 1.05/1.46 'c_Power_Opower__class_Opower'( Y, X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.05/1.46 'tc_nat' ), Z ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.05/1.46 'c_HOL_Oone__class_Oone'( X ), X ), Y ) ) ) ],
% 1.05/1.46 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.05/1.46 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.05/1.46 Z, 'c_Suc'( T ), 'tc_nat' ), 'tc_nat', X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.05/1.46 ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, 'tc_nat' ), Z ) ) ) ]
% 1.05/1.46 ,
% 1.05/1.46 [ ~( =( 'c_FFT__Mirabelle_Oroot'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.46 'tc_Complex_Ocomplex' ) ) ) ],
% 1.05/1.46 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.05/1.46 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ) ],
% 1.05/1.46 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.05/1.46 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.46 X ) ) ) ) ],
% 1.05/1.46 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X
% 1.05/1.46 ), Z ) ) ) ],
% 1.05/1.46 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.05/1.46 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.05/1.46 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.05/1.46 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.05/1.46 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.05/1.46 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 1.05/1.46 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.05/1.46 'c_Transcendental_Oexp'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.05/1.46 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.05/1.46 'c_HOL_Oinverse__class_Oinverse'( hAPP( 'c_Power_Opower__class_Opower'( Y
% 1.05/1.46 , X ), Z ), X ), hAPP( 'c_Power_Opower__class_Opower'(
% 1.05/1.46 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), Z ) ), =( Y,
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.05/1.46 'c_Power_Opower__class_Opower'( Y, X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) )
% 1.05/1.46 ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.05/1.46 'c_Power_Opower__class_Opower'( Y, X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.05/1.46 'c_Power_Opower__class_Opower'( Y, X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.05/1.46 'class_Power_Opower'( X ) ), =( hAPP( 'c_Power_Opower__class_Opower'(
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_Suc'( Y ) ),
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( hAPP( 'c_Power_Opower__class_Opower'( Y, X ), Z ), X ),
% 1.05/1.46 hAPP( 'c_Power_Opower__class_Opower'( T, X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ), ~( hBOOL(
% 1.05/1.46 hAPP( 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.05/1.46 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.05/1.46 'c_Power_Opower__class_Opower'( Y, X ), Z ), X ),
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X ),
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP(
% 1.05/1.46 'c_Power_Opower__class_Opower'( Y, X ), Z ), X ),
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.05/1.46 ), ~( =( hAPP( 'c_Power_Opower__class_Opower'( Y, X ),
% 1.05/1.46 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ),
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.05/1.46 ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.05/1.46 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y, X ),
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.05/1.46 , U, X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( U,
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 1.05/1.46 , U, X ), 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 1.05/1.46 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.05/1.46 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), =( U,
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.05/1.46 ), =( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 1.05/1.46 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.05/1.46 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 1.05/1.46 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.05/1.46 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.46 X ), X ), Y ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 1.05/1.46 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.05/1.46 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.46 X ), X ), Y ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 1.05/1.46 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.05/1.46 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.05/1.46 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.05/1.46 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.05/1.46 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( Y
% 1.05/1.46 , X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.05/1.46 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL(
% 1.05/1.46 hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ]
% 1.05/1.46 ,
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.05/1.46 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ), ~( hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL(
% 1.05/1.46 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ]
% 1.05/1.46 ,
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.05/1.46 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.05/1.46 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 1.05/1.46 , X ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL(
% 1.05/1.46 hAPP( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ),
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.05/1.46 'c_lessequals'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL(
% 1.05/1.46 hAPP( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ),
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.09/1.46 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), hBOOL( hAPP(
% 1.09/1.46 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ), ~( hBOOL(
% 1.09/1.46 hAPP( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ),
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.09/1.46 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.09/1.46 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), ~( hBOOL(
% 1.09/1.46 hAPP( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ),
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 1.09/1.46 ), 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ), ~( hBOOL( hAPP(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.09/1.46 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ), Y ) ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 1.09/1.46 ), 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ), ~( hBOOL( hAPP(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.09/1.46 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.09/1.46 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.09/1.46 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 1.09/1.46 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ), =( Z,
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.09/1.46 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ), ~( hBOOL( hAPP(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.09/1.46 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.09/1.46 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ), ~( hBOOL( hAPP(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.09/1.46 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.46 X ), X ), Y ) ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.09/1.46 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ), ~( hBOOL( hAPP(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.09/1.46 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.46 X ), X ), Y ) ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.09/1.46 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ), ~( hBOOL( hAPP(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.09/1.46 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T
% 1.09/1.46 , X ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( T, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.09/1.46 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.46 X ), T ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.09/1.46 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ),
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ),
% 1.09/1.46 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.09/1.46 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 1.09/1.46 ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), hBOOL( hAPP(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.09/1.46 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.46 X ), Z ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ),
% 1.09/1.46 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ),
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ),
% 1.09/1.46 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.09/1.46 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), Y ) ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.09/1.46 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ),
% 1.09/1.46 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ), ~( hBOOL( hAPP(
% 1.09/1.46 'c_lessequals'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL(
% 1.09/1.46 hAPP( 'c_lessequals'( T, X ), Y ) ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.09/1.46 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ),
% 1.09/1.46 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ), ~( hBOOL( hAPP(
% 1.09/1.46 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL(
% 1.09/1.46 hAPP( 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.09/1.46 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.46 X ), Y ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oinverse__class_Odivide'( Z
% 1.09/1.46 , Y, X ) ) ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.09/1.46 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.46 X ), Z ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oinverse__class_Odivide'( Y
% 1.09/1.46 , Z, X ) ) ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.09/1.46 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.46 X ), Z ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oinverse__class_Odivide'( Z
% 1.09/1.46 , Y, X ) ) ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.46 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.09/1.46 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ),
% 1.09/1.46 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), ~( hBOOL( hAPP(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.09/1.46 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), hBOOL( hAPP(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.09/1.46 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( T, X )
% 1.09/1.46 , Z, X ) ) ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.46 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.09/1.46 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.09/1.46 , X ), X ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL( hAPP(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T,
% 1.09/1.46 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ), Y ) ) ), hBOOL(
% 1.09/1.46 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.09/1.46 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.46 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X
% 1.09/1.46 ), 'c_HOL_Oinverse__class_Odivide'( Z,
% 1.09/1.46 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ) ), ~( hBOOL( hAPP(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.09/1.46 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ),
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.09/1.46 ), X ) ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.09/1.46 T, X ) ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.46 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.09/1.46 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ),
% 1.09/1.46 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), ~( hBOOL( hAPP(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.09/1.46 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), ~( hBOOL( hAPP(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.46 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ), Y ) ) ), ~(
% 1.09/1.46 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( T, X )
% 1.09/1.46 , Z, X ) ) ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.09/1.46 'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.09/1.46 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 1.09/1.46 'c_HOL_Oinverse__class_Oinverse'( Y, X ) ) ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.09/1.46 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 1.09/1.46 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), ~( hBOOL( hAPP(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.09/1.46 , ~( hBOOL( hAPP( 'c_lessequals'( Z, X ), Y ) ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.09/1.46 'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.09/1.46 Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP(
% 1.09/1.46 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 1.09/1.46 'c_HOL_Oinverse__class_Oinverse'( Y, X ) ) ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.09/1.46 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 1.09/1.46 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), ~( hBOOL( hAPP(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.09/1.46 , ~( hBOOL( hAPP( 'c_lessequals'( Z, X ), Y ) ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.09/1.46 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 1.09/1.46 'c_HOL_Oone__class_Oone'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.09/1.46 'c_HOL_Oone__class_Oone'( X ), X ), Y ) ) ) ],
% 1.09/1.46 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 1.09/1.46 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.46 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.09/1.46 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.09/1.46 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ), ~( hBOOL( hAPP(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), X
% 1.09/1.46 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.46 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ) ) ) ), hBOOL( hAPP(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ]
% 1.09/1.46 ,
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.46 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.09/1.46 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.09/1.46 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ), ~( hBOOL( hAPP(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), X
% 1.09/1.46 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( T, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.09/1.46 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.46 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ), Z ) ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.46 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.09/1.46 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.09/1.46 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ), ~( hBOOL( hAPP(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), X
% 1.09/1.46 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.46 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ) ) ) ), ~( hBOOL( hAPP(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.46 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ), Z ) ) ) ],
% 1.09/1.46 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.46 'tc_nat' ), 'tc_nat' ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 1.09/1.46 ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.09/1.46 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.09/1.46 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 1.09/1.46 Y, X ), X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.46 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X
% 1.09/1.46 ), 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z,
% 1.09/1.46 X ), T, X ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ),
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ),
% 1.09/1.46 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.09/1.46 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ),
% 1.09/1.46 'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ) ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.46 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.09/1.46 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.09/1.46 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ), ~( hBOOL( hAPP(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( T, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.09/1.46 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ),
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.09/1.46 , T, X ) ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ],
% 1.09/1.46 [ =( X, Y ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ),
% 1.09/1.46 'c_Suc'( Y ) ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' )
% 1.09/1.46 , Y ) ) ],
% 1.09/1.46 [ =( X, Y ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ),
% 1.09/1.46 'c_Suc'( X ) ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' )
% 1.09/1.46 , X ) ) ],
% 1.09/1.46 [ =( X, Y ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y )
% 1.09/1.46 ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), 'c_Suc'( Y
% 1.09/1.46 ) ) ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.46 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.09/1.46 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.09/1.46 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ), ~( hBOOL( hAPP(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( T, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.09/1.46 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ),
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.09/1.46 , T, X ) ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.09/1.46 , T, X ), X ), Z ) ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.46 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'(
% 1.09/1.46 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.09/1.46 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ), ~( hBOOL( hAPP(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( T, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.09/1.46 , ~( hBOOL( hAPP( 'c_lessequals'( Z, X ), 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.46 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ) ) ) ), hBOOL( hAPP(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ]
% 1.09/1.46 ,
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.46 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X ),
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 1.09/1.46 , T, X ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ),
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ),
% 1.09/1.46 ~( hBOOL( hAPP( 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.09/1.46 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ) ) ) ],
% 1.09/1.46 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.46 'tc_nat' ) ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat'
% 1.09/1.46 ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.09/1.46 'c_lessequals'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ), ~( hBOOL( hAPP(
% 1.09/1.46 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.09/1.46 'c_HOL_Oinverse__class_Oinverse'( Y, X ) ) ) ) ],
% 1.09/1.46 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( Y, X ), Y ) ) ) ],
% 1.09/1.46 [ ~( 'class_Orderings_Oorder'( X ) ), ~( hBOOL( hAPP(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( Y, X ), Y ) ) ) ],
% 1.09/1.46 [ ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), X ) ) ) ]
% 1.09/1.46 ,
% 1.09/1.46 [ ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), X ) ) ) ]
% 1.09/1.46 ,
% 1.09/1.46 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( Y, X ), Y ) ) ) ],
% 1.09/1.46 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP( 'c_lessequals'( Z
% 1.09/1.46 , X ), Y ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), Z ) ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.09/1.46 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.09/1.46 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.46 X ) ) ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X )
% 1.09/1.46 , 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.09/1.46 ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X )
% 1.09/1.46 , 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.09/1.46 ],
% 1.09/1.46 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X
% 1.09/1.46 ), Z ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ) ]
% 1.09/1.46 ,
% 1.09/1.46 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ) ) ],
% 1.09/1.46 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y
% 1.09/1.46 , X ), Z ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) )
% 1.09/1.46 ],
% 1.09/1.46 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.09/1.46 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.09/1.46 , X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ) ) ), ~( hBOOL( hAPP(
% 1.09/1.46 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL(
% 1.09/1.46 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.09/1.46 ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), U ) ) ), ~(
% 1.09/1.46 hBOOL( hAPP( 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.09/1.46 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.09/1.46 , X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ) ) ), ~( hBOOL( hAPP(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.09/1.46 , ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.09/1.46 ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, X ), U ) ) ), ~( hBOOL( hAPP(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.09/1.46 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ),
% 1.09/1.46 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.09/1.46 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.09/1.46 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ) ), ~( hBOOL( hAPP(
% 1.09/1.46 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ),
% 1.09/1.46 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ) ],
% 1.09/1.46 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ),
% 1.09/1.46 hBOOL( hAPP( 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.09/1.46 X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), hBOOL( hAPP(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ), X
% 1.09/1.46 ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( Y, hAPP( 'c_Power_Opower__class_Opower'( Y
% 1.09/1.46 , X ), Z ), X ), hAPP( 'c_Power_Opower__class_Opower'( Y, X ), 'c_Suc'( Z
% 1.09/1.46 ) ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( hAPP( 'c_Power_Opower__class_Opower'( Y, X
% 1.09/1.46 ), Z ), Y, X ), hAPP( 'c_Power_Opower__class_Opower'( Y, X ), 'c_Suc'( Z
% 1.09/1.46 ) ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 1.09/1.46 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 1.09/1.46 X ), X ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.09/1.46 'c_Ring__and__Field_Odvd__class_Odvd'( hAPP(
% 1.09/1.46 'c_Power_Opower__class_Opower'( Y, X ), Z ), hAPP(
% 1.09/1.46 'c_Power_Opower__class_Opower'( T, X ), U ), X ), ~( hBOOL( hAPP(
% 1.09/1.46 'c_lessequals'( Z, 'tc_nat' ), U ) ) ), ~(
% 1.09/1.46 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 1.09/1.46 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), 'c_Suc'( Y ) ) ), ~( hBOOL(
% 1.09/1.46 hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ) ) ],
% 1.09/1.46 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP(
% 1.09/1.46 'c_lessequals'( 'c_Suc'( X ), 'tc_nat' ), Y ) ) ) ],
% 1.09/1.46 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ),
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ) ) ), ~( hBOOL( hAPP(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.09/1.46 ) ), 'tc_nat' ), Y ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.09/1.46 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ), X ) ) ) ]
% 1.09/1.46 ,
% 1.09/1.46 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ),
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_nat' ) ) ), ~( hBOOL( hAPP(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.09/1.46 ) ), 'tc_nat' ), Y ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.09/1.46 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ), X ) ) ) ]
% 1.09/1.46 ,
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.09/1.46 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.46 Y, 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.09/1.46 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.09/1.46 Z, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'(
% 1.09/1.46 Z, X ), X ) ) ],
% 1.09/1.46 [ ~( hBOOL( hAPP( 'c_lessequals'( 'c_Suc'( X ), 'tc_nat' ), X ) ) ) ]
% 1.09/1.46 ,
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.46 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'(
% 1.09/1.46 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.09/1.46 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ), ~( hBOOL( hAPP(
% 1.09/1.46 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z
% 1.09/1.46 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.09/1.46 Y, X ), T, X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.09/1.46 , T, X ), X ), Z ) ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.46 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'(
% 1.09/1.46 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.09/1.46 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ), ~( hBOOL( hAPP(
% 1.09/1.46 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( T, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.09/1.46 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.46 X ), T ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.46 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'(
% 1.09/1.46 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.09/1.46 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.46 X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.09/1.46 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.09/1.46 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.09/1.46 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.09/1.46 , X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 1.09/1.46 'c_Ring__and__Field_Odvd__class_Odvd'( Z, U, X ) ), ~(
% 1.09/1.46 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.09/1.46 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), T ) ), ~(
% 1.09/1.46 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ),
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ),
% 1.09/1.46 ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X
% 1.09/1.46 ), X ), Y ) ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.09/1.46 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), T ) ),
% 1.09/1.46 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ),
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), Y ) ) ), hBOOL( hAPP(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ]
% 1.09/1.46 ,
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.09/1.46 'c_lessequals'( Y, X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ) ) ), ~(
% 1.09/1.46 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ),
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ),
% 1.09/1.46 ~( hBOOL( hAPP( 'c_lessequals'( Z, X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.09/1.46 Y, T, X ) ) ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.09/1.46 'c_lessequals'( Y, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ),
% 1.09/1.46 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ),
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z
% 1.09/1.46 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ) ) ) ), hBOOL( hAPP(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ]
% 1.09/1.46 ,
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.46 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'(
% 1.09/1.46 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.09/1.46 , X ), X ), X ), T ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL( hAPP(
% 1.09/1.46 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T,
% 1.09/1.46 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ), Y ) ) ), hBOOL(
% 1.09/1.46 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.09/1.46 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.46 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X ),
% 1.09/1.46 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.09/1.46 , X ), X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ),
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z
% 1.09/1.46 , X ), 'c_HOL_Otimes__class_Otimes'( Y,
% 1.09/1.46 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ) ) ), hBOOL( hAPP(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.09/1.46 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ],
% 1.09/1.46 [ hBOOL( hAPP( 'c_lessequals'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.46 'tc_nat' ) ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' )
% 1.09/1.46 ) ), ~( hBOOL( hAPP( 'c_lessequals'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.46 'tc_nat' ) ), 'tc_nat' ), Y ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.09/1.46 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ), X ) ) ) ]
% 1.09/1.46 ,
% 1.09/1.46 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y
% 1.09/1.46 , X ), Y ) ) ],
% 1.09/1.46 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X
% 1.09/1.46 ), Y ) ) ],
% 1.09/1.46 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), X ) ) ],
% 1.09/1.46 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP(
% 1.09/1.46 'c_lessequals'( Z, 'tc_nat' ), Y ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( X
% 1.09/1.46 , 'tc_nat' ), Z ) ) ) ],
% 1.09/1.46 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), X ) ) ],
% 1.09/1.46 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( T, X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.09/1.46 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.09/1.46 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.09/1.46 T, X ), Z ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), T ) )
% 1.09/1.46 ) ],
% 1.09/1.46 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y
% 1.09/1.46 , X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( T, X ), Z ) ) ), ~( hBOOL(
% 1.09/1.46 hAPP( 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.09/1.46 'c_Ring__and__Field_Odvd__class_Odvd'( hAPP(
% 1.09/1.46 'c_Power_Opower__class_Opower'( Y, X ), Z ), T, X ), ~( hBOOL( hAPP(
% 1.09/1.46 'c_lessequals'( Z, 'tc_nat' ), U ) ) ), ~(
% 1.09/1.46 'c_Ring__and__Field_Odvd__class_Odvd'( hAPP(
% 1.09/1.46 'c_Power_Opower__class_Opower'( Y, X ), U ), T, X ) ) ],
% 1.09/1.46 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ), ~( hBOOL( hAPP(
% 1.09/1.46 'c_lessequals'( T, X ), Z ) ) ) ],
% 1.09/1.46 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.09/1.46 Y, X ), T ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ), Z ) )
% 1.09/1.46 ) ],
% 1.09/1.46 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X
% 1.09/1.46 ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), T ) ) ), ~( hBOOL(
% 1.09/1.46 hAPP( 'c_lessequals'( T, X ), Z ) ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X )
% 1.09/1.46 , 'c_HOL_Oone__class_Oone'( X ) ) ), ~( hBOOL( hAPP(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ), Y ) ) ) ]
% 1.09/1.46 ,
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.46 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'(
% 1.09/1.46 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ),
% 1.09/1.46 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), ~( hBOOL( hAPP(
% 1.09/1.46 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.09/1.46 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), hBOOL( hAPP(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.09/1.46 ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.46 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ) ) ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.46 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'(
% 1.09/1.46 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ),
% 1.09/1.46 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), ~( hBOOL( hAPP(
% 1.09/1.46 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.09/1.46 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ), ~( hBOOL( hAPP(
% 1.09/1.46 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.46 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ), Y ) ) ), hBOOL(
% 1.09/1.46 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z
% 1.09/1.46 ) ) ],
% 1.09/1.46 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 1.09/1.46 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.09/1.46 'c_Transcendental_Oexp'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 1.09/1.46 'c_HOL_Oinverse__class_Oinverse'( 'c_Transcendental_Oexp'( Y, X ), X ) )
% 1.09/1.46 ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.46 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'(
% 1.09/1.46 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.09/1.46 , X ), X ), X ), T ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL( hAPP(
% 1.09/1.46 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T,
% 1.09/1.46 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ), Y ) ) ), ~( hBOOL(
% 1.09/1.46 hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Otimes__class_Otimes'( T,
% 1.09/1.46 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.46 'class_Int_Onumber'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X ),
% 1.09/1.46 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.09/1.46 , X ), X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ),
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z
% 1.09/1.46 , X ), 'c_HOL_Otimes__class_Otimes'( Y,
% 1.09/1.46 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ) ) ), ~( hBOOL( hAPP(
% 1.09/1.46 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.09/1.46 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ), Z ) ) ) ],
% 1.09/1.46 [ =( X, Y ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ),
% 1.09/1.46 'c_Suc'( Y ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, 'tc_nat' ), X ) )
% 1.09/1.46 ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ),
% 1.09/1.46 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.46 T, Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( T, Y, X ) ) ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.09/1.46 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), T ) ), ~( hBOOL( hAPP(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( Y, T, X ) ) ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ),
% 1.09/1.46 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.46 Z, T, X ), X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ) ) ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.09/1.46 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), T ) ), ~( hBOOL( hAPP(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ),
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( T, Y, X ) ) ) ) ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.09/1.46 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.46 ), X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ) ) ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.09/1.46 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ), ~( hBOOL( hAPP(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.09/1.46 ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.09/1.46 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.09/1.46 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.09/1.46 ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.09/1.46 [ hBOOL( hAPP( 'c_lessequals'( 'c_Suc'( X ), 'tc_nat' ), 'c_Suc'( Y ) )
% 1.09/1.46 ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ) ) ],
% 1.09/1.46 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP(
% 1.09/1.46 'c_lessequals'( 'c_Suc'( X ), 'tc_nat' ), 'c_Suc'( Y ) ) ) ) ],
% 1.09/1.46 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ) ) ],
% 1.09/1.46 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y
% 1.09/1.46 , X ), Z ) ), hBOOL( hAPP( 'c_lessequals'( Z, X ), Y ) ) ],
% 1.09/1.46 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), hBOOL( hAPP(
% 1.09/1.46 'c_lessequals'( Y, 'tc_nat' ), X ) ) ],
% 1.09/1.46 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ) ) ],
% 1.09/1.46 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ) ) ],
% 1.09/1.46 [ ~( 'class_Orderings_Oorder'( X ) ), ~( hBOOL( hAPP(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.09/1.47 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.47 X ), Y ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.09/1.47 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oinverse__class_Odivide'( Y
% 1.09/1.47 , Z, X ) ) ) ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.09/1.47 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Oinverse__class_Odivide'(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ) ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.09/1.47 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ), Z ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.09/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 1.09/1.47 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.09/1.47 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.09/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.09/1.47 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.09/1.47 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.09/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.47 'class_Int_Onumber'( X ) ), ~( =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.09/1.47 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.09/1.47 Z, X ) ) ), =( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.09/1.47 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.09/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.47 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.09/1.47 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.09/1.47 'c_HOL_Oinverse__class_Odivide'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.09/1.47 , 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.09/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.47 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.09/1.47 X ), 'c_HOL_Oinverse__class_Odivide'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.09/1.47 , X ) ) ), =( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.09/1.47 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.09/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.47 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.09/1.47 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.09/1.47 'c_HOL_Oinverse__class_Odivide'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.09/1.47 ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.09/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.09/1.47 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.09/1.47 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.47 X ), 'c_HOL_Oinverse__class_Odivide'( Z,
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.09/1.47 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ),
% 1.09/1.47 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.09/1.47 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.09/1.47 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.09/1.47 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ),
% 1.09/1.47 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, X
% 1.09/1.47 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.09/1.47 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.09/1.47 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.09/1.47 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.09/1.47 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ), =( Z,
% 1.09/1.47 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.09/1.47 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.09/1.47 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), ~( hBOOL(
% 1.09/1.47 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.09/1.47 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ) ) ) ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.09/1.47 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.09/1.47 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ), ~( hBOOL(
% 1.09/1.47 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.09/1.47 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ) ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.09/1.47 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.09/1.47 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ), ~( hBOOL(
% 1.09/1.47 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.09/1.47 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ) ) ) ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.09/1.47 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.09/1.47 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), ~( hBOOL(
% 1.09/1.47 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.09/1.47 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ) ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.09/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ),
% 1.09/1.47 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.09/1.47 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.09/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X
% 1.09/1.47 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.09/1.47 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.09/1.47 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ),
% 1.09/1.47 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.09/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 1.09/1.47 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.09/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ),
% 1.09/1.47 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.47 X ), Z ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.09/1.47 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ),
% 1.09/1.47 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.09/1.47 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.09/1.47 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.47 X ), Y ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.09/1.47 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ),
% 1.09/1.47 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.09/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.09/1.47 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.09/1.47 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 1.09/1.47 'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ), =( Z,
% 1.09/1.47 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.09/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.09/1.47 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.09/1.47 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 1.09/1.47 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ), =( Y,
% 1.09/1.47 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.47 [ =( hAPP( 'c_Power_Opower__class_Opower'( 'c_FFT__Mirabelle_Oroot'(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ) ), 'tc_Complex_Ocomplex' )
% 1.09/1.47 , 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) ), hAPP(
% 1.09/1.47 'c_Power_Opower__class_Opower'( 'c_FFT__Mirabelle_Oroot'( Y ),
% 1.09/1.47 'tc_Complex_Ocomplex' ), Z ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.09/1.47 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), X ) ) ) ],
% 1.09/1.47 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.09/1.47 'c_Finite__Set_Osetsum'( 'c_COMBK'( 'c_HOL_Ozero__class_Ozero'( X ), X, Y
% 1.09/1.47 ), Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.47 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.09/1.47 'c_Finite__Set_Osetsum'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.09/1.47 'tc_bool' ) ), Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.47 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), ~( =( hAPP( Y,
% 1.09/1.47 'c_ATP__Linkup_Osko__Finite__Set__Xsetsum__0_H__1__1'( Z, Y, T, X ) ),
% 1.09/1.47 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( 'c_Finite__Set_Osetsum'( Y, Z, T
% 1.09/1.47 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.47 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.09/1.47 'c_Finite__Set_Osetsum'( Y, Z, T, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.09/1.47 , 'c_Finite__Set_Ofinite'( Z, T ) ],
% 1.09/1.47 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.09/1.47 'c_Finite__Set_Osetsum'( Y, Z, T, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.09/1.47 , 'c_Finite__Set_Ofinite'( Z, T ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( hAPP(
% 1.09/1.47 'c_Power_Opower__class_Opower'( Y, X ), Z ), hAPP(
% 1.09/1.47 'c_Power_Opower__class_Opower'( Y, X ), T ) ) ), ~( hBOOL( hAPP(
% 1.09/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), X ), Y ) ) ),
% 1.09/1.47 =( Z, T ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.09/1.47 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), X ), hAPP(
% 1.09/1.47 'c_Power_Opower__class_Opower'( Y, X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.09/1.47 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), X ), Y ) ) ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.09/1.47 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oone__class_Oone'( X ),
% 1.09/1.47 hAPP( 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), X )
% 1.09/1.47 , Y ), X ) ],
% 1.09/1.47 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 1.09/1.47 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.09/1.47 'c_Transcendental_Oexp'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 1.09/1.47 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Oexp'( Y, X ),
% 1.09/1.47 'c_Transcendental_Oexp'( Z, X ), X ) ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.09/1.47 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.09/1.47 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.09/1.47 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Oinverse'( Y
% 1.09/1.47 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y
% 1.09/1.47 , X ) ) ],
% 1.09/1.47 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~( =( hAPP( Y,
% 1.09/1.47 'c_Series_Osko__Series__Xseries__zero__1__1'( Y, Z, X ) ),
% 1.09/1.47 'c_HOL_Ozero__class_Ozero'( X ) ) ), 'c_Series_Osums'( Y,
% 1.09/1.47 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.09/1.47 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ), 'tc_nat', X ), X )
% 1.09/1.47 ],
% 1.09/1.47 [ =( 'c_SetInterval_Oord__class_OatLeastLessThan'( X,
% 1.09/1.47 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ),
% 1.09/1.47 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ) ]
% 1.09/1.47 ,
% 1.09/1.47 [ =( 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.09/1.47 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ),
% 1.09/1.47 'c_SetInterval_Oord__class_OlessThan'( X, 'tc_nat' ) ) ],
% 1.09/1.47 [ ~( 'class_HOL_Oord'( X ) ), ~( 'class_OrderedGroup_Ocomm__monoid__add'(
% 1.09/1.47 Y ) ), ~( =( hAPP( Z,
% 1.09/1.47 'c_List_Osko__SetInterval__Xsetsum__ivl__cong__1__1'( T, U, Z, W, X, Y )
% 1.09/1.47 ), hAPP( W, 'c_List_Osko__SetInterval__Xsetsum__ivl__cong__1__1'( T, U,
% 1.09/1.47 Z, W, X, Y ) ) ) ), =( 'c_Finite__Set_Osetsum'( Z,
% 1.09/1.47 'c_SetInterval_Oord__class_OatLeastLessThan'( T, U, X ), X, Y ),
% 1.09/1.47 'c_Finite__Set_Osetsum'( W, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.09/1.47 T, U, X ), X, Y ) ) ],
% 1.09/1.47 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.47 'tc_nat' ), 'tc_nat' ), 'v_k' ) ) ],
% 1.09/1.47 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'v_k', 'tc_nat' ), 'v_n' ) ) ]
% 1.09/1.47 ,
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.09/1.47 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.09/1.47 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 1.09/1.47 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.09/1.47 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 1.09/1.47 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.09/1.47 ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( hBOOL( hAPP(
% 1.09/1.47 'c_lessequals'( hAPP( 'c_Power_Opower__class_Opower'( Y, X ),
% 1.09/1.47 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.47 X ) ) ) ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.09/1.47 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.09/1.47 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.09/1.47 ), =( hAPP( 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.47 X ), X ), 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ),
% 1.09/1.47 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_Int_Onumber__class_Onumber__of'(
% 1.09/1.47 Y, 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.09/1.47 'class_Power_Opower'( X ) ), =( hAPP( 'c_Power_Opower__class_Opower'(
% 1.09/1.47 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.09/1.47 Y, 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ) ), =(
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.09/1.47 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP(
% 1.09/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.09/1.47 'c_Power_Opower__class_Opower'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.47 'tc_nat' ) ) ) ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.09/1.47 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.09/1.47 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.09/1.47 ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.09/1.47 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( =( hAPP(
% 1.09/1.47 'c_Power_Opower__class_Opower'( Z, X ),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ),
% 1.09/1.47 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.09/1.47 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( hBOOL( hAPP(
% 1.09/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.09/1.47 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 1.09/1.47 ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.09/1.47 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.09/1.47 ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.09/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.09/1.47 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) )
% 1.09/1.47 ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.47 X ), X ), Y ) ) ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.09/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ),
% 1.09/1.47 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.47 ), X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ),
% 1.09/1.47 Y, X ) ) ) ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.09/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.09/1.47 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.47 ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.09/1.47 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.09/1.47 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.09/1.47 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.09/1.47 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 1.09/1.47 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.09/1.47 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.09/1.47 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.47 X ) ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.09/1.47 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'(
% 1.09/1.47 X ), Y, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.09/1.47 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.09/1.47 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL(
% 1.09/1.47 hAPP( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'(
% 1.09/1.47 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.47 ) ) ) ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.09/1.47 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.09/1.47 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) )
% 1.09/1.47 ), ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.09/1.47 , Y ) ) ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.09/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.09/1.47 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), ~( hBOOL(
% 1.09/1.47 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.09/1.47 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) )
% 1.09/1.47 ) ) ],
% 1.09/1.47 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.09/1.47 'c_HOL_Ominus__class_Ominus'( 'c_Finite__Set_Osetsum'( Y,
% 1.09/1.47 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, 'tc_nat' ), 'tc_nat'
% 1.09/1.47 , X ), 'c_Finite__Set_Osetsum'( Y,
% 1.09/1.47 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, U, 'tc_nat' ), 'tc_nat'
% 1.09/1.47 , X ), X ), 'c_Finite__Set_Osetsum'( Y,
% 1.09/1.47 'c_SetInterval_Oord__class_OatLeastLessThan'( U, T, 'tc_nat' ), 'tc_nat'
% 1.09/1.47 , X ) ), ~( hBOOL( hAPP( 'c_lessequals'( U, 'tc_nat' ), T ) ) ), ~( hBOOL(
% 1.09/1.47 hAPP( 'c_lessequals'( Z, 'tc_nat' ), U ) ) ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.09/1.47 'class_Power_Opower'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y
% 1.09/1.47 , 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( hAPP(
% 1.09/1.47 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ),
% 1.09/1.47 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.09/1.47 [ =( 'c_Finite__Set_Osetsum'( 'c_Power_Opower__class_Opower'( hAPP(
% 1.09/1.47 'c_Power_Opower__class_Opower'( 'c_FFT__Mirabelle_Oroot'( X ),
% 1.09/1.47 'tc_Complex_Ocomplex' ), Y ), 'tc_Complex_Ocomplex' ),
% 1.09/1.47 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.47 'tc_nat' ), X, 'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex' ),
% 1.09/1.47 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ) ), ~( hBOOL( hAPP(
% 1.09/1.47 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), X ) ) ), ~( hBOOL( hAPP(
% 1.09/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.09/1.47 'tc_nat' ), Y ) ) ) ],
% 1.09/1.47 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), ~( =( hAPP( Y,
% 1.09/1.47 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.09/1.47 ) ), =( 'c_Finite__Set_Osetsum'( Y,
% 1.09/1.47 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_Suc'(
% 1.09/1.47 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z, 'tc_nat' ), 'tc_nat', X ),
% 1.09/1.47 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.09/1.47 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ), 'tc_nat', X ) ) ]
% 1.09/1.47 ,
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.09/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.09/1.47 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.09/1.47 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP(
% 1.09/1.47 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.09/1.47 ), X ), T ), 'c_HOL_Oinverse__class_Odivide'( hAPP(
% 1.09/1.47 'c_Power_Opower__class_Opower'( Y, X ), T ), hAPP(
% 1.09/1.47 'c_Power_Opower__class_Opower'( Z, X ), T ), X ) ), =( Z,
% 1.09/1.47 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.09/1.47 'class_Power_Opower'( X ) ), =( hAPP( 'c_Power_Opower__class_Opower'(
% 1.09/1.47 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.47 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.09/1.47 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP(
% 1.09/1.47 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), X ), Y ),
% 1.09/1.47 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 1.09/1.47 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.09/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.09/1.47 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.47 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.09/1.47 ,
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.09/1.47 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y
% 1.09/1.47 ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 1.09/1.47 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.09/1.47 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, Z ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.09/1.47 'class_Power_Opower'( X ) ), =( hAPP( 'c_Power_Opower__class_Opower'(
% 1.09/1.47 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.47 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.09/1.47 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.09/1.47 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.09/1.47 ), =( hAPP( 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.47 X ), X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 1.09/1.47 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP(
% 1.09/1.47 'c_Power_Opower__class_Opower'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.47 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.09/1.47 [ ~( 'class_Power_Opower'( X ) ), =( hAPP(
% 1.09/1.47 'c_Power_Opower__class_Opower'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.47 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~(
% 1.09/1.47 =( hAPP( 'c_Power_Opower__class_Opower'( Y, X ), Z ),
% 1.09/1.47 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.47 ) ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.09/1.47 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.09/1.47 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.09/1.47 ), ~( =( hAPP( 'c_Power_Opower__class_Opower'( Y, X ), Z ),
% 1.09/1.47 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.47 ) ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.09/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP(
% 1.09/1.47 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.09/1.47 ), X ), T ), 'c_HOL_Oinverse__class_Odivide'( hAPP(
% 1.09/1.47 'c_Power_Opower__class_Opower'( Y, X ), T ), hAPP(
% 1.09/1.47 'c_Power_Opower__class_Opower'( Z, X ), T ), X ) ) ],
% 1.09/1.47 [ =( hAPP( 'c_Power_Opower__class_Opower'( 'c_FFT__Mirabelle_Oroot'( X )
% 1.09/1.47 , 'tc_Complex_Ocomplex' ), X ), 'c_HOL_Oone__class_Oone'(
% 1.09/1.47 'tc_Complex_Ocomplex' ) ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 1.09/1.47 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.09/1.47 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 1.09/1.47 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.09/1.47 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.09/1.47 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.09/1.47 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 1.09/1.47 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.09/1.47 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.09/1.47 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.09/1.47 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.09/1.47 ) ],
% 1.09/1.47 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.09/1.47 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.09/1.47 ) ],
% 1.09/1.47 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.09/1.47 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.09/1.47 ) ],
% 1.09/1.47 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.09/1.47 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.09/1.47 ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.09/1.47 X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y, X ),
% 1.09/1.47 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.09/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.09/1.47 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), hAPP(
% 1.09/1.47 'c_Power_Opower__class_Opower'( Y, X ), Z ), X ), hAPP(
% 1.09/1.47 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'(
% 1.09/1.47 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ), Z ) ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.09/1.47 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.09/1.47 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.09/1.47 ), ~( =( hAPP( 'c_Power_Opower__class_Opower'( Y, X ),
% 1.09/1.47 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.09/1.47 ) ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.09/1.47 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 1.09/1.47 , Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.09/1.47 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.09/1.47 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.09/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.09/1.47 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.09/1.47 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.47 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.09/1.47 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.09/1.47 , T, X ) ) ), =( Z, T ) ],
% 1.09/1.47 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.09/1.47 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.09/1.47 , T, X ) ) ), =( Y, Z ) ],
% 1.09/1.47 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.09/1.47 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.09/1.47 ) ), =( Y, Z ) ],
% 1.09/1.47 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.09/1.47 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.09/1.47 ) ), =( Y, Z ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.09/1.47 X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.09/1.47 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.09/1.47 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.09/1.47 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.09/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.09/1.47 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.09/1.47 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.09/1.47 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.09/1.47 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.09/1.47 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.47 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.09/1.47 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.09/1.47 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_Finite__Set_Osetsum'(
% 1.09/1.47 'c_Power_Opower__class_Opower'( Y, X ),
% 1.09/1.47 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.47 'tc_nat' ), Z, 'tc_nat' ), 'tc_nat', X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.09/1.47 'c_HOL_Ominus__class_Ominus'( hAPP( 'c_Power_Opower__class_Opower'( Y, X
% 1.09/1.47 ), Z ), 'c_HOL_Oone__class_Oone'( X ), X ), 'c_HOL_Ominus__class_Ominus'(
% 1.09/1.47 Y, 'c_HOL_Oone__class_Oone'( X ), X ), X ) ), =( Y,
% 1.09/1.47 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.09/1.47 [ ~( =( 'c_Finite__Set_Osetsum'( 'c_Power_Opower__class_Opower'( hAPP(
% 1.09/1.47 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'(
% 1.09/1.47 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ),
% 1.09/1.47 'c_FFT__Mirabelle_Oroot'( 'v_n' ), 'tc_Complex_Ocomplex' ),
% 1.09/1.47 'tc_Complex_Ocomplex' ), 'v_k' ), 'tc_Complex_Ocomplex' ),
% 1.09/1.47 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.47 'tc_nat' ), 'v_n', 'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex' ),
% 1.09/1.47 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( hAPP(
% 1.09/1.47 'c_Power_Opower__class_Opower'( hAPP( 'c_Power_Opower__class_Opower'(
% 1.09/1.47 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'(
% 1.09/1.47 'tc_Complex_Ocomplex' ), 'c_FFT__Mirabelle_Oroot'( 'v_n' ),
% 1.09/1.47 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'v_k' ),
% 1.09/1.47 'tc_Complex_Ocomplex' ), 'v_n' ), 'c_HOL_Oone__class_Oone'(
% 1.09/1.47 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ),
% 1.09/1.47 'c_HOL_Ominus__class_Ominus'( hAPP( 'c_Power_Opower__class_Opower'(
% 1.09/1.47 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'(
% 1.09/1.47 'tc_Complex_Ocomplex' ), 'c_FFT__Mirabelle_Oroot'( 'v_n' ),
% 1.09/1.47 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'v_k' ),
% 1.09/1.47 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex'
% 1.09/1.47 ), 'tc_Complex_Ocomplex' ) ) ) ],
% 1.09/1.47 [ 'class_Lattices_Oboolean__algebra'( 'tc_fun'( X, Y ) ), ~(
% 1.09/1.47 'class_Lattices_Oboolean__algebra'( Y ) ) ],
% 1.09/1.47 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_fun'( X, Y ) ), ~(
% 1.09/1.47 'class_Finite__Set_Ofinite_Ofinite'( Y ) ), ~(
% 1.09/1.47 'class_Finite__Set_Ofinite_Ofinite'( X ) ) ],
% 1.09/1.47 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 1.09/1.47 'class_Orderings_Opreorder'( Y ) ) ],
% 1.09/1.47 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 1.09/1.47 'class_Orderings_Oorder'( Y ) ) ],
% 1.09/1.47 [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Obot'(
% 1.09/1.47 Y ) ) ],
% 1.09/1.47 [ 'class_HOL_Oord'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Oord'( Y ) ) ]
% 1.09/1.47 ,
% 1.09/1.47 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 1.09/1.47 ],
% 1.09/1.47 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_nat' ) ]
% 1.09/1.47 ,
% 1.09/1.47 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 1.09/1.47 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' ) ],
% 1.09/1.47 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_nat' ) ],
% 1.09/1.47 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 1.09/1.47 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 1.09/1.47 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 1.09/1.47 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 1.09/1.47 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 1.09/1.47 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 1.09/1.47 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 1.09/1.47 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ],
% 1.09/1.47 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_nat' ) ],
% 1.09/1.47 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 1.09/1.47 [ 'class_Ring__and__Field_Omult__mono'( 'tc_nat' ) ],
% 1.09/1.47 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 1.09/1.47 [ 'class_Ring__and__Field_Odvd'( 'tc_nat' ) ],
% 1.09/1.47 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 1.09/1.47 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 1.09/1.47 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 1.09/1.47 [ 'class_Orderings_Obot'( 'tc_nat' ) ],
% 1.09/1.47 [ 'class_Power_Opower'( 'tc_nat' ) ],
% 1.09/1.47 [ 'class_Int_Onumber'( 'tc_nat' ) ],
% 1.09/1.47 [ 'class_HOL_Oord'( 'tc_nat' ) ],
% 1.09/1.47 [ 'class_Lattices_Oboolean__algebra'( 'tc_bool' ) ],
% 1.09/1.47 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_bool' ) ],
% 1.09/1.47 [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 1.09/1.47 [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 1.09/1.47 [ 'class_Orderings_Obot'( 'tc_bool' ) ],
% 1.09/1.47 [ 'class_HOL_Oord'( 'tc_bool' ) ],
% 1.09/1.47 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 1.09/1.47 'tc_Int_Oint' ) ],
% 1.09/1.47 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_Int_Oint' )
% 1.09/1.47 ],
% 1.09/1.47 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'( 'tc_Int_Oint' )
% 1.09/1.47 ],
% 1.09/1.47 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_Int_Oint' ) ]
% 1.09/1.47 ,
% 1.09/1.47 [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_Int_Oint' ) ]
% 1.09/1.47 ,
% 1.09/1.47 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_Int_Oint' ) ]
% 1.09/1.47 ,
% 1.09/1.47 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.09/1.47 [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.09/1.47 [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.09/1.47 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_Int_Oint' ) ],
% 1.09/1.47 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_Int_Oint' ) ],
% 1.09/1.47 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Int_Oint' ) ],
% 1.09/1.47 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_Int_Oint' ) ],
% 1.09/1.47 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Int_Oint' ) ],
% 1.09/1.47 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Int_Oint' ) ],
% 1.09/1.47 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Int_Oint' ) ],
% 1.09/1.47 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_Int_Oint' ) ],
% 1.09/1.47 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Int_Oint' ) ],
% 1.09/1.47 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Int_Oint' ) ],
% 1.09/1.47 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_Int_Oint' ) ],
% 1.09/1.47 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Int_Oint' ) ],
% 1.09/1.47 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_Int_Oint' ) ],
% 1.09/1.47 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_Int_Oint' ) ],
% 1.09/1.47 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Int_Oint' ) ],
% 1.09/1.47 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Int_Oint' ) ],
% 1.09/1.47 [ 'class_Ring__and__Field_Omult__mono'( 'tc_Int_Oint' ) ],
% 1.09/1.47 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Int_Oint' ) ],
% 1.09/1.47 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Int_Oint' ) ],
% 1.09/1.47 [ 'class_Ring__and__Field_Oring__1'( 'tc_Int_Oint' ) ],
% 1.09/1.47 [ 'class_Ring__and__Field_Oring'( 'tc_Int_Oint' ) ],
% 1.09/1.47 [ 'class_Ring__and__Field_Oidom'( 'tc_Int_Oint' ) ],
% 1.09/1.47 [ 'class_Ring__and__Field_Odvd'( 'tc_Int_Oint' ) ],
% 1.09/1.47 [ 'class_Orderings_Opreorder'( 'tc_Int_Oint' ) ],
% 1.09/1.47 [ 'class_Orderings_Olinorder'( 'tc_Int_Oint' ) ],
% 1.09/1.47 [ 'class_Orderings_Oorder'( 'tc_Int_Oint' ) ],
% 1.09/1.47 [ 'class_Int_Oring__char__0'( 'tc_Int_Oint' ) ],
% 1.09/1.47 [ 'class_Int_Onumber__ring'( 'tc_Int_Oint' ) ],
% 1.09/1.47 [ 'class_Power_Opower'( 'tc_Int_Oint' ) ],
% 1.09/1.47 [ 'class_Int_Onumber'( 'tc_Int_Oint' ) ],
% 1.09/1.47 [ 'class_HOL_Oord'( 'tc_Int_Oint' ) ],
% 1.09/1.47 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 1.09/1.47 'tc_Complex_Ocomplex' ) ],
% 1.09/1.47 [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 1.09/1.47 'tc_Complex_Ocomplex' ) ],
% 1.09/1.47 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Complex_Ocomplex' )
% 1.09/1.47 ],
% 1.09/1.47 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_Complex_Ocomplex' )
% 1.09/1.47 ],
% 1.09/1.47 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Complex_Ocomplex' ) ]
% 1.09/1.47 ,
% 1.09/1.47 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_Complex_Ocomplex' ) ]
% 1.09/1.47 ,
% 1.09/1.47 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Complex_Ocomplex' ) ]
% 1.09/1.47 ,
% 1.09/1.47 [ 'class_RealVector_Oreal__normed__vector'( 'tc_Complex_Ocomplex' ) ]
% 1.09/1.47 ,
% 1.09/1.47 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Complex_Ocomplex' ) ]
% 1.09/1.47 ,
% 1.09/1.47 [ 'class_Ring__and__Field_Odivision__ring'( 'tc_Complex_Ocomplex' ) ]
% 1.09/1.47 ,
% 1.09/1.47 [ 'class_RealVector_Oreal__normed__field'( 'tc_Complex_Ocomplex' ) ]
% 1.09/1.47 ,
% 1.09/1.47 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Complex_Ocomplex' ) ]
% 1.09/1.47 ,
% 1.09/1.47 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Complex_Ocomplex' ) ]
% 1.09/1.47 ,
% 1.09/1.47 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Complex_Ocomplex' ) ]
% 1.09/1.47 ,
% 1.09/1.47 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_Complex_Ocomplex' ) ],
% 1.09/1.47 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Complex_Ocomplex' ) ],
% 1.09/1.47 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Complex_Ocomplex' ) ],
% 1.09/1.47 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Complex_Ocomplex' ) ],
% 1.09/1.47 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Complex_Ocomplex' ) ],
% 1.09/1.47 [ 'class_Ring__and__Field_Oring__1'( 'tc_Complex_Ocomplex' ) ],
% 1.09/1.47 [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex' ) ],
% 1.09/1.47 [ 'class_Ring__and__Field_Oring'( 'tc_Complex_Ocomplex' ) ],
% 1.09/1.47 [ 'class_Ring__and__Field_Oidom'( 'tc_Complex_Ocomplex' ) ],
% 1.09/1.47 [ 'class_Ring__and__Field_Odvd'( 'tc_Complex_Ocomplex' ) ],
% 1.09/1.47 [ 'class_Int_Oring__char__0'( 'tc_Complex_Ocomplex' ) ],
% 1.09/1.47 [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ],
% 1.09/1.47 [ 'class_Power_Opower'( 'tc_Complex_Ocomplex' ) ],
% 1.09/1.47 [ 'class_SEQ_Obanach'( 'tc_Complex_Ocomplex' ) ],
% 1.09/1.47 [ 'class_Int_Onumber'( 'tc_Complex_Ocomplex' ) ],
% 1.09/1.47 [ 'c_fequal'( X, X, Y ) ],
% 1.09/1.47 [ =( X, Y ), ~( 'c_fequal'( X, Y, Z ) ) ]
% 1.09/1.47 ] .
% 1.09/1.47
% 1.09/1.47
% 1.09/1.47 percentage equality = 0.144342, percentage horn = 0.781534
% 1.09/1.47 This is a problem with some equality
% 1.09/1.47
% 1.09/1.47
% 1.09/1.47
% 1.09/1.47 Options Used:
% 1.09/1.47
% 1.09/1.47 useres = 1
% 1.09/1.47 useparamod = 1
% 1.09/1.47 useeqrefl = 1
% 1.09/1.47 useeqfact = 1
% 1.09/1.47 usefactor = 1
% 1.09/1.47 usesimpsplitting = 0
% 1.09/1.47 usesimpdemod = 5
% 1.09/1.47 usesimpres = 3
% 1.09/1.47
% 1.09/1.47 resimpinuse = 1000
% 1.09/1.47 resimpclauses = 20000
% 1.09/1.47 substype = eqrewr
% 1.09/1.47 backwardsubs = 1
% 1.09/1.47 selectoldest = 5
% 1.09/1.47
% 1.09/1.47 litorderings [0] = split
% 1.09/1.47 litorderings [1] = extend the termordering, first sorting on arguments
% 1.09/1.47
% 1.09/1.47 termordering = kbo
% 1.09/1.47
% 1.09/1.47 litapriori = 0
% 1.09/1.47 termapriori = 1
% 1.09/1.47 litaposteriori = 0
% 1.09/1.47 termaposteriori = 0
% 1.09/1.47 demodaposteriori = 0
% 1.09/1.47 ordereqreflfact = 0
% 1.09/1.47
% 1.09/1.47 litselect = negord
% 1.09/1.47
% 1.09/1.47 maxweight = 15
% 1.09/1.47 maxdepth = 30000
% 1.09/1.47 maxlength = 115
% 1.09/1.47 maxnrvars = 195
% 1.09/1.47 excuselevel = 1
% 1.09/1.47 increasemaxweight = 1
% 1.09/1.47
% 1.09/1.47 maxselected = 10000000
% 1.09/1.47 maxnrclauses = 10000000
% 1.09/1.47
% 1.09/1.47 showgenerated = 0
% 1.09/1.47 showkept = 0
% 1.09/1.47 showselected = 0
% 1.09/1.47 showdeleted = 0
% 1.09/1.47 showresimp = 1
% 1.09/1.47 showstatus = 2000
% 1.09/1.47
% 1.09/1.47 prologoutput = 1
% 1.09/1.47 nrgoals = 5000000
% 1.09/1.47 totalproof = 1
% 1.09/1.47
% 1.09/1.47 Symbols occurring in the translation:
% 1.09/1.47
% 1.09/1.47 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.09/1.47 . [1, 2] (w:1, o:120, a:1, s:1, b:0),
% 1.09/1.47 ! [4, 1] (w:0, o:57, a:1, s:1, b:0),
% 1.09/1.47 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.09/1.47 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.09/1.47 'tc_nat' [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 1.09/1.47 'c_HOL_Ozero__class_Ozero' [40, 1] (w:1, o:62, a:1, s:1, b:0),
% 1.09/1.47 'c_HOL_Oord__class_Oless' [41, 2] (w:1, o:145, a:1, s:1, b:0),
% 1.09/1.47 'c_Suc' [43, 1] (w:1, o:63, a:1, s:1, b:0),
% 1.09/1.47 hAPP [44, 2] (w:1, o:146, a:1, s:1, b:0),
% 1.09/1.47 hBOOL [45, 1] (w:1, o:64, a:1, s:1, b:0),
% 1.09/1.47 'class_Int_Oring__char__0' [47, 1] (w:1, o:66, a:1, s:1, b:0),
% 1.09/1.47 'class_Int_Onumber__ring' [48, 1] (w:1, o:67, a:1, s:1, b:0),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of' [49, 2] (w:1, o:149, a:1, s:1, b:0
% 1.09/1.47 ),
% 1.09/1.47 'c_lessequals' [52, 2] (w:1, o:150, a:1, s:1, b:0),
% 3.05/3.46 'c_HOL_Otimes__class_Otimes' [55, 3] (w:1, o:156, a:1, s:1, b:0),
% 3.05/3.46 'class_Ring__and__Field_Oordered__ring__strict' [56, 1] (w:1, o:71
% 3.05/3.46 , a:1, s:1, b:0),
% 3.05/3.46 'class_Ring__and__Field_Oordered__semiring__strict' [60, 1] (w:1, o:
% 3.05/3.46 72, a:1, s:1, b:0),
% 3.05/3.46 'class_Orderings_Olinorder' [61, 1] (w:1, o:73, a:1, s:1, b:0),
% 3.05/3.46 'class_Orderings_Opreorder' [62, 1] (w:1, o:75, a:1, s:1, b:0),
% 3.05/3.46 'c_COMBK' [65, 3] (w:1, o:157, a:1, s:1, b:0),
% 3.05/3.46 'class_Orderings_Oorder' [68, 1] (w:1, o:74, a:1, s:1, b:0),
% 3.05/3.46 'class_Ring__and__Field_Oordered__field' [69, 1] (w:1, o:76, a:1, s:1
% 3.05/3.46 , b:0),
% 3.05/3.46 'class_Ring__and__Field_Odivision__by__zero' [70, 1] (w:1, o:79, a:1
% 3.05/3.46 , s:1, b:0),
% 3.05/3.46 'class_Int_Onumber' [71, 1] (w:1, o:80, a:1, s:1, b:0),
% 3.05/3.46 'c_HOL_Oinverse__class_Odivide' [72, 3] (w:1, o:158, a:1, s:1, b:0),
% 3.05/3.46
% 3.05/3.46 'class_Ring__and__Field_Ocomm__semiring__1' [74, 1] (w:1, o:78, a:1
% 3.05/3.46 , s:1, b:0),
% 3.05/3.46 'c_Power_Opower__class_Opower' [75, 2] (w:1, o:151, a:1, s:1, b:0),
% 3.05/3.46 'class_Power_Opower' [77, 1] (w:1, o:92, a:1, s:1, b:0),
% 3.05/3.46 'class_OrderedGroup_Omonoid__mult' [78, 1] (w:1, o:82, a:1, s:1, b:0)
% 3.05/3.46 ,
% 3.05/3.46 'class_Ring__and__Field_Odivision__ring' [79, 1] (w:1, o:93, a:1, s:1
% 3.05/3.46 , b:0),
% 3.05/3.46 'c_HOL_Oinverse__class_Oinverse' [80, 2] (w:1, o:147, a:1, s:1, b:0)
% 3.05/3.46 ,
% 3.05/3.46 'class_OrderedGroup_Opordered__ab__group__add' [81, 1] (w:1, o:84, a:
% 3.05/3.46 1, s:1, b:0),
% 3.05/3.46 'c_HOL_Ouminus__class_Ouminus' [82, 2] (w:1, o:148, a:1, s:1, b:0),
% 3.05/3.46 'class_Ring__and__Field_Odvd' [83, 1] (w:1, o:94, a:1, s:1, b:0),
% 3.05/3.46 'c_Ring__and__Field_Odvd__class_Odvd' [84, 3] (w:1, o:159, a:1, s:1
% 3.05/3.46 , b:0),
% 3.05/3.46 'class_Orderings_Obot' [86, 1] (w:1, o:85, a:1, s:1, b:0),
% 3.05/3.46 'c_Orderings_Obot__class_Obot' [87, 1] (w:1, o:95, a:1, s:1, b:0),
% 3.05/3.46 'class_Ring__and__Field_Oring' [88, 1] (w:1, o:96, a:1, s:1, b:0),
% 3.05/3.46 'c_HOL_Ominus__class_Ominus' [90, 3] (w:1, o:160, a:1, s:1, b:0),
% 3.05/3.46 'tc_bool' [91, 0] (w:1, o:38, a:1, s:1, b:0),
% 3.05/3.46 'tc_fun' [92, 2] (w:1, o:152, a:1, s:1, b:0),
% 3.05/3.46 'c_Finite__Set_Ofinite' [93, 2] (w:1, o:153, a:1, s:1, b:0),
% 3.05/3.46 'class_Ring__and__Field_Oordered__semiring' [94, 1] (w:1, o:97, a:1
% 3.05/3.46 , s:1, b:0),
% 3.05/3.46 'class_Ring__and__Field_Oidom' [95, 1] (w:1, o:98, a:1, s:1, b:0),
% 3.05/3.46 'c_HOL_Oone__class_Oone' [96, 1] (w:1, o:99, a:1, s:1, b:0),
% 3.05/3.46 'c_SetInterval_Oord__class_OlessThan' [97, 2] (w:1, o:154, a:1, s:1
% 3.05/3.46 , b:0),
% 3.05/3.46 'c_SetInterval_Oord__class_OatLeastLessThan' [98, 3] (w:1, o:161, a:1
% 3.05/3.46 , s:1, b:0),
% 3.05/3.46 'class_Finite__Set_Ofinite_Ofinite' [99, 1] (w:1, o:100, a:1, s:1, b:
% 3.05/3.46 0),
% 3.05/3.46 'class_Ring__and__Field_Oordered__comm__semiring__strict' [101, 1]
% 3.05/3.46 (w:1, o:101, a:1, s:1, b:0),
% 3.05/3.46 'class_Ring__and__Field_Oordered__semidom' [104, 1] (w:1, o:102, a:1
% 3.05/3.46 , s:1, b:0),
% 3.05/3.46 'class_OrderedGroup_Ogroup__add' [105, 1] (w:1, o:86, a:1, s:1, b:0)
% 3.05/3.46 ,
% 3.05/3.46 'class_Lattices_Oboolean__algebra' [106, 1] (w:1, o:103, a:1, s:1, b:
% 3.05/3.46 0),
% 3.05/3.46 'class_OrderedGroup_Oordered__ab__group__add' [107, 1] (w:1, o:83, a:
% 3.05/3.46 1, s:1, b:0),
% 3.05/3.46 'class_Ring__and__Field_Oring__no__zero__divisors' [108, 1] (w:1, o:
% 3.05/3.46 104, a:1, s:1, b:0),
% 3.05/3.46 'class_Ring__and__Field_Omult__zero' [109, 1] (w:1, o:105, a:1, s:1
% 3.05/3.46 , b:0),
% 3.05/3.46 'class_RealVector_Oreal__normed__algebra' [110, 1] (w:1, o:106, a:1
% 3.05/3.46 , s:1, b:0),
% 3.05/3.46 'class_Ring__and__Field_Ono__zero__divisors' [111, 1] (w:1, o:70, a:1
% 3.05/3.46 , s:1, b:0),
% 3.05/3.46 'class_SEQ_Obanach' [112, 1] (w:1, o:118, a:1, s:1, b:0),
% 3.05/3.46 'class_RealVector_Oreal__normed__field' [113, 1] (w:1, o:107, a:1, s:
% 3.05/3.46 1, b:0),
% 3.05/3.46 'c_Transcendental_Oexp' [114, 2] (w:1, o:155, a:1, s:1, b:0),
% 3.05/3.46 'v_n' [119, 0] (w:1, o:45, a:1, s:1, b:0),
% 3.05/3.46 'class_Ring__and__Field_Oordered__idom' [120, 1] (w:1, o:108, a:1, s:
% 3.05/3.46 1, b:0),
% 3.05/3.46 'class_OrderedGroup_Oab__semigroup__idem__mult' [121, 1] (w:1, o:87
% 3.05/3.46 , a:1, s:1, b:0),
% 3.05/3.46 'class_Ring__and__Field_Omult__mono1' [122, 1] (w:1, o:68, a:1, s:1
% 3.05/3.46 , b:0),
% 3.05/3.46 'class_Ring__and__Field_Omult__mono' [123, 1] (w:1, o:69, a:1, s:1
% 3.05/3.46 , b:0),
% 3.05/3.46 'class_Ring__and__Field_Opordered__ring' [124, 1] (w:1, o:109, a:1
% 23.75/24.11 , s:1, b:0),
% 23.75/24.11 'class_Ring__and__Field_Ofield' [125, 1] (w:1, o:110, a:1, s:1, b:0)
% 23.75/24.11 ,
% 23.75/24.11 'class_OrderedGroup_Oab__group__add' [126, 1] (w:1, o:88, a:1, s:1
% 23.75/24.11 , b:0),
% 23.75/24.11 'class_Ring__and__Field_Ocomm__ring__1' [129, 1] (w:1, o:77, a:1, s:1
% 23.75/24.11 , b:0),
% 23.75/24.11 'class_OrderedGroup_Ocomm__monoid__mult' [135, 1] (w:1, o:89, a:1, s:
% 23.75/24.11 1, b:0),
% 23.75/24.11 'class_Ring__and__Field_Opordered__cancel__semiring' [137, 1] (w:1
% 23.75/24.11 , o:111, a:1, s:1, b:0),
% 23.75/24.11 'class_OrderedGroup_Oab__semigroup__mult' [138, 1] (w:1, o:90, a:1
% 23.75/24.11 , s:1, b:0),
% 23.75/24.11 'class_Ring__and__Field_Opordered__semiring' [140, 1] (w:1, o:112, a:
% 23.75/24.11 1, s:1, b:0),
% 23.75/24.11 'class_OrderedGroup_Olordered__ab__group__add' [141, 1] (w:1, o:81
% 23.75/24.11 , a:1, s:1, b:0),
% 23.75/24.11 'class_Ring__and__Field_Oring__1' [143, 1] (w:1, o:113, a:1, s:1, b:0
% 23.75/24.11 ),
% 23.75/24.11 'class_HOL_Oord' [145, 1] (w:1, o:65, a:1, s:1, b:0),
% 23.75/24.11 'class_OrderedGroup_Ocomm__monoid__add' [146, 1] (w:1, o:91, a:1, s:1
% 23.75/24.11 , b:0),
% 23.75/24.11 'c_Finite__Set_Osetsum' [148, 4] (w:1, o:165, a:1, s:1, b:0),
% 23.75/24.11 'c_List_Osko__SetInterval__Xsetsum__ivl__cong__1__1' [150, 6] (w:1
% 23.75/24.11 , o:167, a:1, s:1, b:0),
% 23.75/24.11 'class_RealVector_Oreal__normed__vector' [151, 1] (w:1, o:114, a:1
% 23.75/24.11 , s:1, b:0),
% 23.75/24.11 'c_Series_Osums' [152, 3] (w:1, o:162, a:1, s:1, b:0),
% 23.75/24.11 'c_Series_Osko__Series__Xseries__zero__1__1' [153, 3] (w:1, o:163, a:
% 23.75/24.11 1, s:1, b:0),
% 23.75/24.11 'c_FFT__Mirabelle_Oroot' [154, 1] (w:1, o:119, a:1, s:1, b:0),
% 23.75/24.11 'tc_Complex_Ocomplex' [155, 0] (w:1, o:49, a:1, s:1, b:0),
% 23.75/24.11 'class_Ring__and__Field_Osemiring__0' [156, 1] (w:1, o:116, a:1, s:1
% 23.75/24.11 , b:0),
% 23.75/24.11 'class_Ring__and__Field_Ozero__neq__one' [157, 1] (w:1, o:117, a:1
% 23.75/24.11 , s:1, b:0),
% 23.75/24.11 'c_ATP__Linkup_Osko__Finite__Set__Xsetsum__0_H__1__1' [159, 4] (w:1
% 23.75/24.11 , o:166, a:1, s:1, b:0),
% 23.75/24.11 'v_k' [160, 0] (w:1, o:51, a:1, s:1, b:0),
% 23.75/24.11 'class_Ring__and__Field_Oring__1__no__zero__divisors' [161, 1] (w:1
% 23.75/24.11 , o:115, a:1, s:1, b:0),
% 23.75/24.11 'tc_Int_Oint' [164, 0] (w:1, o:54, a:1, s:1, b:0),
% 23.75/24.11 'c_fequal' [165, 3] (w:1, o:164, a:1, s:1, b:0).
% 23.75/24.11
% 23.75/24.11
% 23.75/24.11 Starting Search:
% 23.75/24.11
% 23.75/24.11 Resimplifying inuse:
% 23.75/24.11 Done
% 23.75/24.11
% 23.75/24.11
% 23.75/24.11 Intermediate Status:
% 23.75/24.11 Generated: 4552
% 23.75/24.11 Kept: 2006
% 23.75/24.11 Inuse: 127
% 23.75/24.11 Deleted: 3
% 23.75/24.11 Deletedinuse: 0
% 23.75/24.11
% 23.75/24.11 Resimplifying inuse:
% 23.75/24.11 Done
% 23.75/24.11
% 23.75/24.11 Resimplifying inuse:
% 23.75/24.11 Done
% 23.75/24.11
% 23.75/24.11
% 23.75/24.11 Intermediate Status:
% 23.75/24.11 Generated: 8979
% 23.75/24.11 Kept: 4008
% 23.75/24.11 Inuse: 232
% 23.75/24.11 Deleted: 12
% 23.75/24.11 Deletedinuse: 0
% 23.75/24.11
% 23.75/24.11 Resimplifying inuse:
% 23.75/24.11 Done
% 23.75/24.11
% 23.75/24.11 Resimplifying inuse:
% 23.75/24.11 Done
% 23.75/24.11
% 23.75/24.11
% 23.75/24.11 Intermediate Status:
% 23.75/24.11 Generated: 13593
% 23.75/24.11 Kept: 6011
% 23.75/24.11 Inuse: 306
% 23.75/24.11 Deleted: 15
% 23.75/24.11 Deletedinuse: 0
% 23.75/24.11
% 23.75/24.11 Resimplifying inuse:
% 23.75/24.11 Done
% 23.75/24.11
% 23.75/24.11 Resimplifying inuse:
% 23.75/24.11 Done
% 23.75/24.11
% 23.75/24.11
% 23.75/24.11 Intermediate Status:
% 23.75/24.11 Generated: 20504
% 23.75/24.11 Kept: 8107
% 23.75/24.11 Inuse: 336
% 23.75/24.11 Deleted: 15
% 23.75/24.11 Deletedinuse: 0
% 23.75/24.11
% 23.75/24.11 Resimplifying inuse:
% 23.75/24.11 Done
% 23.75/24.11
% 23.75/24.11
% 23.75/24.11 Intermediate Status:
% 23.75/24.11 Generated: 26980
% 23.75/24.11 Kept: 10149
% 23.75/24.11 Inuse: 381
% 23.75/24.11 Deleted: 15
% 23.75/24.11 Deletedinuse: 0
% 23.75/24.11
% 23.75/24.11 Resimplifying inuse:
% 23.75/24.11 Done
% 23.75/24.11
% 23.75/24.11 Resimplifying inuse:
% 23.75/24.11 Done
% 23.75/24.11
% 23.75/24.11
% 23.75/24.11 Intermediate Status:
% 23.75/24.11 Generated: 32864
% 23.75/24.11 Kept: 12150
% 23.75/24.11 Inuse: 454
% 23.75/24.11 Deleted: 20
% 23.75/24.11 Deletedinuse: 0
% 23.75/24.11
% 23.75/24.11 Resimplifying inuse:
% 23.75/24.11 Done
% 23.75/24.11
% 23.75/24.11 Resimplifying inuse:
% 23.75/24.11 Done
% 23.75/24.11
% 23.75/24.11
% 23.75/24.11 Intermediate Status:
% 23.75/24.11 Generated: 39424
% 23.75/24.11 Kept: 14236
% 23.75/24.11 Inuse: 509
% 23.75/24.11 Deleted: 22
% 23.75/24.11 Deletedinuse: 0
% 23.75/24.11
% 23.75/24.11 Resimplifying inuse:
% 23.75/24.11 Done
% 23.75/24.11
% 23.75/24.11 Resimplifying inuse:
% 23.75/24.11 Done
% 23.75/24.11
% 23.75/24.11
% 23.75/24.11 Intermediate Status:
% 23.75/24.11 Generated: 46542
% 23.75/24.11 Kept: 16526
% 23.75/24.11 Inuse: 553
% 23.75/24.11 Deleted: 23
% 23.75/24.11 Deletedinuse: 0
% 23.75/24.11
% 23.75/24.11 Resimplifying inuse:
% 23.75/24.11 Done
% 23.75/24.11
% 23.75/24.11
% 23.75/24.11 Intermediate Status:
% 23.75/24.11 Generated: 53452
% 23.75/24.11 Kept: 18731
% 23.75/24.11 Inuse: 560
% 23.75/24.11 Deleted: 23
% 23.75/24.11 Deletedinuse: 0
% 23.75/24.11
% 23.75/24.11 Resimplifying inuse:
% 23.75/24.11 Done
% 23.75/24.11
% 23.75/24.11 Resimplifying inuse:
% 23.75/24.11 Done
% 23.75/24.11
% 23.75/24.11 Resimplifying clauses:
% 23.75/24.11 Done
% 23.75/24.11
% 23.75/24.11
% 23.75/24.11 Intermediate Status:
% 23.75/24.11 Generated: 60578
% 23.75/24.11 Kept: 20749
% 23.75/24.11 Inuse: 617
% 23.75/24.11 Deleted: 420
% 23.75/24.11 Deletedinuse: 0
% 23.75/24.11
% 23.75/24.11 Resimplifying inuse:
% 23.75/24.11 Done
% 23.75/24.11
% 23.75/24.11
% 23.75/24.11 Intermediate Status:
% 23.75/24.11 Generated: 65975
% 23.75/24.11 Kept: 22752
% 23.75/24.11 Inuse: 646
% 23.75/24.11 Deleted: 420
% 23.75/24.11 Deletedinuse: 0
% 23.75/24.11
% 23.75/24.11 Resimplifying inuse:
% 23.75/24.11 Done
% 23.75/24.11
% 23.75/24.11 Resimplifying inuse:
% 23.75/24.11 Done
% 23.75/24.11
% 23.75/24.11
% 23.75/24.11 Intermediate Status:
% 23.75/24.11 Generated: 73230
% 23.75/24.11 Kept: 25769
% 23.75/24.11 Inuse: 668
% 23.75/24.11 Deleted: 420
% 23.75/24.11 Deletedinuse: 0
% 23.75/24.11
% 23.75/24.11 Resimplifying inuse:
% 23.75/24.11 Done
% 23.75/24.11
% 23.75/24.11 Resimplifying inuse:
% 73.84/74.20 Done
% 73.84/74.20
% 73.84/74.20
% 73.84/74.20 Intermediate Status:
% 73.84/74.20 Generated: 103228
% 73.84/74.20 Kept: 29246
% 73.84/74.20 Inuse: 683
% 73.84/74.20 Deleted: 420
% 73.84/74.20 Deletedinuse: 0
% 73.84/74.20
% 73.84/74.20 Resimplifying inuse:
% 73.84/74.20 Done
% 73.84/74.20
% 73.84/74.20 Resimplifying inuse:
% 73.84/74.20 Done
% 73.84/74.20
% 73.84/74.20
% 73.84/74.20 Intermediate Status:
% 73.84/74.20 Generated: 114391
% 73.84/74.20 Kept: 32683
% 73.84/74.20 Inuse: 693
% 73.84/74.20 Deleted: 420
% 73.84/74.20 Deletedinuse: 0
% 73.84/74.20
% 73.84/74.20 Resimplifying inuse:
% 73.84/74.20 Done
% 73.84/74.20
% 73.84/74.20 Resimplifying inuse:
% 73.84/74.20 Done
% 73.84/74.20
% 73.84/74.20
% 73.84/74.20 Intermediate Status:
% 73.84/74.20 Generated: 123360
% 73.84/74.20 Kept: 34722
% 73.84/74.20 Inuse: 703
% 73.84/74.20 Deleted: 420
% 73.84/74.20 Deletedinuse: 0
% 73.84/74.20
% 73.84/74.20
% 73.84/74.20 Intermediate Status:
% 73.84/74.20 Generated: 135397
% 73.84/74.20 Kept: 36869
% 73.84/74.20 Inuse: 708
% 73.84/74.20 Deleted: 420
% 73.84/74.20 Deletedinuse: 0
% 73.84/74.20
% 73.84/74.20 Resimplifying inuse:
% 73.84/74.20 Done
% 73.84/74.20
% 73.84/74.20 Resimplifying inuse:
% 73.84/74.20 Done
% 73.84/74.20
% 73.84/74.20
% 73.84/74.20 Intermediate Status:
% 73.84/74.20 Generated: 146685
% 73.84/74.20 Kept: 39269
% 73.84/74.20 Inuse: 733
% 73.84/74.20 Deleted: 420
% 73.84/74.20 Deletedinuse: 0
% 73.84/74.20
% 73.84/74.20 Resimplifying inuse:
% 73.84/74.20 Done
% 73.84/74.20
% 73.84/74.20 Resimplifying inuse:
% 73.84/74.20 Done
% 73.84/74.20
% 73.84/74.20 Resimplifying clauses:
% 73.84/74.20 Done
% 73.84/74.20
% 73.84/74.20
% 73.84/74.20 Intermediate Status:
% 73.84/74.20 Generated: 161488
% 73.84/74.20 Kept: 41803
% 73.84/74.20 Inuse: 748
% 73.84/74.20 Deleted: 529
% 73.84/74.20 Deletedinuse: 0
% 73.84/74.20
% 73.84/74.20 Resimplifying inuse:
% 73.84/74.20 Done
% 73.84/74.20
% 73.84/74.20 Resimplifying inuse:
% 73.84/74.20 Done
% 73.84/74.20
% 73.84/74.20
% 73.84/74.20 Intermediate Status:
% 73.84/74.20 Generated: 176118
% 73.84/74.20 Kept: 43900
% 73.84/74.20 Inuse: 758
% 73.84/74.20 Deleted: 529
% 73.84/74.20 Deletedinuse: 0
% 73.84/74.20
% 73.84/74.20 Resimplifying inuse:
% 73.84/74.20 Done
% 73.84/74.20
% 73.84/74.20 Resimplifying inuse:
% 73.84/74.20 Done
% 73.84/74.20
% 73.84/74.20
% 73.84/74.20 Intermediate Status:
% 73.84/74.20 Generated: 190968
% 73.84/74.20 Kept: 45978
% 73.84/74.20 Inuse: 768
% 73.84/74.20 Deleted: 529
% 73.84/74.20 Deletedinuse: 0
% 73.84/74.20
% 73.84/74.20 Resimplifying inuse:
% 73.84/74.20 Done
% 73.84/74.20
% 73.84/74.20 Resimplifying inuse:
% 73.84/74.20 Done
% 73.84/74.20
% 73.84/74.20
% 73.84/74.20 Intermediate Status:
% 73.84/74.20 Generated: 203111
% 73.84/74.20 Kept: 48133
% 73.84/74.20 Inuse: 818
% 73.84/74.20 Deleted: 529
% 73.84/74.20 Deletedinuse: 0
% 73.84/74.20
% 73.84/74.20 Resimplifying inuse:
% 73.84/74.20 Done
% 73.84/74.20
% 73.84/74.20 Resimplifying inuse:
% 73.84/74.20 Done
% 73.84/74.20
% 73.84/74.20
% 73.84/74.20 Intermediate Status:
% 73.84/74.20 Generated: 213596
% 73.84/74.20 Kept: 50386
% 73.84/74.20 Inuse: 848
% 73.84/74.20 Deleted: 529
% 73.84/74.20 Deletedinuse: 0
% 73.84/74.20
% 73.84/74.20 Resimplifying inuse:
% 73.84/74.20 Done
% 73.84/74.20
% 73.84/74.20
% 73.84/74.20 Intermediate Status:
% 73.84/74.20 Generated: 224375
% 73.84/74.20 Kept: 52474
% 73.84/74.20 Inuse: 878
% 73.84/74.20 Deleted: 529
% 73.84/74.20 Deletedinuse: 0
% 73.84/74.20
% 73.84/74.20 Resimplifying inuse:
% 73.84/74.20 Done
% 73.84/74.20
% 73.84/74.20 Resimplifying inuse:
% 73.84/74.20 Done
% 73.84/74.20
% 73.84/74.20
% 73.84/74.20 Intermediate Status:
% 73.84/74.20 Generated: 234363
% 73.84/74.20 Kept: 54904
% 73.84/74.20 Inuse: 903
% 73.84/74.20 Deleted: 529
% 73.84/74.20 Deletedinuse: 0
% 73.84/74.20
% 73.84/74.20 Resimplifying inuse:
% 73.84/74.20 Done
% 73.84/74.20
% 73.84/74.20 Resimplifying inuse:
% 73.84/74.20 Done
% 73.84/74.20
% 73.84/74.20
% 73.84/74.20 Intermediate Status:
% 73.84/74.20 Generated: 243178
% 73.84/74.20 Kept: 56930
% 73.84/74.20 Inuse: 918
% 73.84/74.20 Deleted: 529
% 73.84/74.20 Deletedinuse: 0
% 73.84/74.20
% 73.84/74.20 Resimplifying inuse:
% 73.84/74.20 Done
% 73.84/74.20
% 73.84/74.20 Resimplifying inuse:
% 73.84/74.20 Done
% 73.84/74.20
% 73.84/74.20
% 73.84/74.20 Intermediate Status:
% 73.84/74.20 Generated: 258746
% 73.84/74.20 Kept: 59674
% 73.84/74.20 Inuse: 943
% 73.84/74.20 Deleted: 529
% 73.84/74.20 Deletedinuse: 0
% 73.84/74.20
% 73.84/74.20 Resimplifying inuse:
% 73.84/74.20 Done
% 73.84/74.20
% 73.84/74.20 Resimplifying inuse:
% 73.84/74.20 Done
% 73.84/74.20
% 73.84/74.20 Resimplifying clauses:
% 73.84/74.20 Done
% 73.84/74.20
% 73.84/74.20
% 73.84/74.20 Intermediate Status:
% 73.84/74.20 Generated: 278514
% 73.84/74.20 Kept: 63477
% 73.84/74.20 Inuse: 953
% 73.84/74.20 Deleted: 1471
% 73.84/74.20 Deletedinuse: 0
% 73.84/74.20
% 73.84/74.20 Resimplifying inuse:
% 73.84/74.20 Done
% 73.84/74.20
% 73.84/74.20
% 73.84/74.20 Intermediate Status:
% 73.84/74.20 Generated: 288218
% 73.84/74.20 Kept: 65760
% 73.84/74.20 Inuse: 958
% 73.84/74.20 Deleted: 1477
% 73.84/74.20 Deletedinuse: 6
% 73.84/74.20
% 73.84/74.20 Resimplifying inuse:
% 73.84/74.20 Done
% 73.84/74.20
% 73.84/74.20
% 73.84/74.20 Intermediate Status:
% 73.84/74.20 Generated: 297797
% 73.84/74.20 Kept: 68131
% 73.84/74.20 Inuse: 963
% 73.84/74.20 Deleted: 1477
% 73.84/74.20 Deletedinuse: 6
% 73.84/74.20
% 73.84/74.20 Resimplifying inuse:
% 73.84/74.20 Done
% 73.84/74.20
% 73.84/74.20 Resimplifying inuse:
% 73.84/74.20 Done
% 73.84/74.20
% 73.84/74.20
% 73.84/74.20 Intermediate Status:
% 73.84/74.20 Generated: 308773
% 73.84/74.20 Kept: 70627
% 73.84/74.20 Inuse: 987
% 73.84/74.20 Deleted: 1477
% 73.84/74.20 Deletedinuse: 6
% 73.84/74.20
% 73.84/74.20 Resimplifying inuse:
% 73.84/74.20 Done
% 73.84/74.20
% 73.84/74.20 Resimplifying inuse:
% 73.84/74.20 Done
% 73.84/74.20
% 73.84/74.20
% 73.84/74.20 Intermediate Status:
% 73.84/74.20 Generated: 319315
% 73.84/74.20 Kept: 72817
% 73.84/74.20 Inuse: 1003
% 73.84/74.20 Deleted: 1477
% 73.84/74.20 Deletedinuse: 6
% 73.84/74.20
% 73.84/74.20 Resimplifying inuse:
% 73.84/74.20 Done
% 73.84/74.20
% 73.84/74.20
% 73.84/74.20 Intermediate Status:
% 73.84/74.20 Generated: 329364
% 73.84/74.20 Kept: 75005
% 73.84/74.20 Inuse: 1013
% 73.84/74.20 Deleted: 1477
% 73.84/74.20 Deletedinuse: 6
% 73.84/74.20
% 73.84/74.20 Resimplifying inuse:
% 73.84/74.20 Done
% 73.84/74.20
% 73.84/74.20 Resimplifying inuse:
% 73.84/74.20 Done
% 73.84/74.20
% 73.84/74.20
% 73.84/74.20 Intermediate Status:
% 73.84/74.20 Generated: 341915
% 73.84/74.20 Kept: 77986
% 73.84/74.20 Inuse: 1023
% 73.84/74.20 Deleted: 1477
% 73.84/74.20 Deletedinuse: 6
% 73.84/74.20
% 73.84/74.20 Resimplifying inuse:
% 73.84/74.20 Done
% 73.84/74.20
% 73.84/74.20 Resimplifying inuse:
% 73.84/74.20 Done
% 73.84/74.20
% 73.84/74.20
% 73.84/74.20 Intermediate Status:
% 73.84/74.20 Generated: 351784
% 73.84/74.20 Kept: 80430
% 73.84/74.20 Inuse: 1043
% 73.84/74.20 Deleted: 1477
% 73.84/74.20 Deletedinuse: 6
% 73.84/74.20
% 73.84/74.20 Resimplifying inuse:
% 73.84/74.20 Done
% 73.84/74.20
% 73.84/74.20 Resimplifying inuse:
% 73.84/74.20 Done
% 73.84/74.20
% 73.84/74.20 Resimplifying clauses:
% 73.84/74.20 Done
% 73.84/74.20
% 73.84/74.20
% 73.84/74.20 Intermediate Status:
% 73.84/74.20 Generated: 369658
% 73.84/74.20 Kept: 82804
% 73.84/74.20 Inuse: 1053
% 73.84/74.20 Deleted: 1765
% 73.84/74.20 Deletedinuse: 6
% 73.84/74.20
% 73.84/74.20 Resimplifying inuse:
% 73.84/74.20 Done
% 73.84/74.20
% 73.84/74.20 Resimplifying inuse:
% 73.84/74.20 Done
% 73.84/74.20
% 73.84/74.20
% 73.84/74.20 Intermediate Status:
% 73.84/74.20 Generated: 403176
% 73.84/74.20 Kept: 87644
% 73.84/74.20 Inuse: 1088
% 73.84/74.20 Deleted: 1765
% 73.84/74.20 Deletedinuse: 6
% 73.84/74.20
% 73.84/74.20 Resimplifying inuse:
% 73.84/74.20 Done
% 73.84/74.20
% 73.84/74.20
% 73.84/74.20 Intermediate Status:
% 73.84/74.20 Generated: 419095
% 73.84/74.20 Kept: 90554
% 73.84/74.20 Inuse: 1093
% 146.54/146.91 Deleted: 1765
% 146.54/146.91 Deletedinuse: 6
% 146.54/146.91
% 146.54/146.91 Resimplifying inuse:
% 146.54/146.91 Done
% 146.54/146.91
% 146.54/146.91 Resimplifying inuse:
% 146.54/146.91 Done
% 146.54/146.91
% 146.54/146.91
% 146.54/146.91 Intermediate Status:
% 146.54/146.91 Generated: 434330
% 146.54/146.91 Kept: 93334
% 146.54/146.91 Inuse: 1108
% 146.54/146.91 Deleted: 1765
% 146.54/146.91 Deletedinuse: 6
% 146.54/146.91
% 146.54/146.91 Resimplifying inuse:
% 146.54/146.91 Done
% 146.54/146.91
% 146.54/146.91
% 146.54/146.91 Intermediate Status:
% 146.54/146.91 Generated: 443150
% 146.54/146.91 Kept: 95491
% 146.54/146.91 Inuse: 1117
% 146.54/146.91 Deleted: 1765
% 146.54/146.91 Deletedinuse: 6
% 146.54/146.91
% 146.54/146.91 Resimplifying inuse:
% 146.54/146.91 Done
% 146.54/146.91
% 146.54/146.91 Resimplifying inuse:
% 146.54/146.91 Done
% 146.54/146.91
% 146.54/146.91
% 146.54/146.91 Intermediate Status:
% 146.54/146.91 Generated: 452648
% 146.54/146.91 Kept: 98023
% 146.54/146.91 Inuse: 1128
% 146.54/146.91 Deleted: 1765
% 146.54/146.91 Deletedinuse: 6
% 146.54/146.91
% 146.54/146.91 Resimplifying inuse:
% 146.54/146.91 Done
% 146.54/146.91
% 146.54/146.91
% 146.54/146.91 Intermediate Status:
% 146.54/146.91 Generated: 463870
% 146.54/146.91 Kept: 100707
% 146.54/146.91 Inuse: 1143
% 146.54/146.91 Deleted: 1765
% 146.54/146.91 Deletedinuse: 6
% 146.54/146.91
% 146.54/146.91 Resimplifying inuse:
% 146.54/146.91 Done
% 146.54/146.91
% 146.54/146.91 Resimplifying inuse:
% 146.54/146.91 Done
% 146.54/146.91
% 146.54/146.91 Resimplifying clauses:
% 146.54/146.91 Done
% 146.54/146.91
% 146.54/146.91
% 146.54/146.91 Intermediate Status:
% 146.54/146.91 Generated: 473442
% 146.54/146.91 Kept: 102825
% 146.54/146.91 Inuse: 1158
% 146.54/146.91 Deleted: 1871
% 146.54/146.91 Deletedinuse: 6
% 146.54/146.91
% 146.54/146.91 Resimplifying inuse:
% 146.54/146.91 Done
% 146.54/146.91
% 146.54/146.91
% 146.54/146.91 Intermediate Status:
% 146.54/146.91 Generated: 486136
% 146.54/146.91 Kept: 105364
% 146.54/146.91 Inuse: 1173
% 146.54/146.91 Deleted: 1871
% 146.54/146.91 Deletedinuse: 6
% 146.54/146.91
% 146.54/146.91 Resimplifying inuse:
% 146.54/146.91 Done
% 146.54/146.91
% 146.54/146.91 Resimplifying inuse:
% 146.54/146.91 Done
% 146.54/146.91
% 146.54/146.91
% 146.54/146.91 Intermediate Status:
% 146.54/146.91 Generated: 499100
% 146.54/146.91 Kept: 107940
% 146.54/146.91 Inuse: 1188
% 146.54/146.91 Deleted: 1871
% 146.54/146.91 Deletedinuse: 6
% 146.54/146.91
% 146.54/146.91 Resimplifying inuse:
% 146.54/146.91 Done
% 146.54/146.91
% 146.54/146.91
% 146.54/146.91 Intermediate Status:
% 146.54/146.91 Generated: 508142
% 146.54/146.91 Kept: 110170
% 146.54/146.91 Inuse: 1203
% 146.54/146.91 Deleted: 1871
% 146.54/146.91 Deletedinuse: 6
% 146.54/146.91
% 146.54/146.91 Resimplifying inuse:
% 146.54/146.91 Done
% 146.54/146.91
% 146.54/146.91 Resimplifying inuse:
% 146.54/146.91 Done
% 146.54/146.91
% 146.54/146.91
% 146.54/146.91 Intermediate Status:
% 146.54/146.91 Generated: 520925
% 146.54/146.91 Kept: 112821
% 146.54/146.91 Inuse: 1218
% 146.54/146.91 Deleted: 1871
% 146.54/146.91 Deletedinuse: 6
% 146.54/146.91
% 146.54/146.91 Resimplifying inuse:
% 146.54/146.91 Done
% 146.54/146.91
% 146.54/146.91 Resimplifying inuse:
% 146.54/146.91 Done
% 146.54/146.91
% 146.54/146.91
% 146.54/146.91 Intermediate Status:
% 146.54/146.91 Generated: 533068
% 146.54/146.91 Kept: 115290
% 146.54/146.91 Inuse: 1233
% 146.54/146.91 Deleted: 1871
% 146.54/146.91 Deletedinuse: 6
% 146.54/146.91
% 146.54/146.91 Resimplifying inuse:
% 146.54/146.91 Done
% 146.54/146.91
% 146.54/146.91
% 146.54/146.91 Intermediate Status:
% 146.54/146.91 Generated: 545639
% 146.54/146.91 Kept: 117912
% 146.54/146.91 Inuse: 1248
% 146.54/146.91 Deleted: 1871
% 146.54/146.91 Deletedinuse: 6
% 146.54/146.91
% 146.54/146.91 Resimplifying inuse:
% 146.54/146.91 Done
% 146.54/146.91
% 146.54/146.91 Resimplifying inuse:
% 146.54/146.91 Done
% 146.54/146.91
% 146.54/146.91
% 146.54/146.91 Intermediate Status:
% 146.54/146.91 Generated: 555024
% 146.54/146.91 Kept: 120322
% 146.54/146.91 Inuse: 1253
% 146.54/146.91 Deleted: 1871
% 146.54/146.91 Deletedinuse: 6
% 146.54/146.91
% 146.54/146.91 Resimplifying inuse:
% 146.54/146.91 Done
% 146.54/146.91
% 146.54/146.91 Resimplifying inuse:
% 146.54/146.91 Done
% 146.54/146.91
% 146.54/146.91 Resimplifying clauses:
% 146.54/146.91 Done
% 146.54/146.91
% 146.54/146.91
% 146.54/146.91 Intermediate Status:
% 146.54/146.91 Generated: 575091
% 146.54/146.91 Kept: 124391
% 146.54/146.91 Inuse: 1283
% 146.54/146.91 Deleted: 12229
% 146.54/146.91 Deletedinuse: 15
% 146.54/146.91
% 146.54/146.91 Resimplifying inuse:
% 146.54/146.91 Done
% 146.54/146.91
% 146.54/146.91
% 146.54/146.91 Intermediate Status:
% 146.54/146.91 Generated: 582772
% 146.54/146.91 Kept: 126460
% 146.54/146.91 Inuse: 1292
% 146.54/146.91 Deleted: 12230
% 146.54/146.91 Deletedinuse: 15
% 146.54/146.91
% 146.54/146.91 Resimplifying inuse:
% 146.54/146.91 Done
% 146.54/146.91
% 146.54/146.91
% 146.54/146.91 Intermediate Status:
% 146.54/146.91 Generated: 590293
% 146.54/146.91 Kept: 129032
% 146.54/146.91 Inuse: 1297
% 146.54/146.91 Deleted: 12230
% 146.54/146.91 Deletedinuse: 15
% 146.54/146.91
% 146.54/146.91 Resimplifying inuse:
% 146.54/146.91 Done
% 146.54/146.91
% 146.54/146.91
% 146.54/146.91 Intermediate Status:
% 146.54/146.91 Generated: 619619
% 146.54/146.91 Kept: 132812
% 146.54/146.91 Inuse: 1311
% 146.54/146.91 Deleted: 12234
% 146.54/146.91 Deletedinuse: 18
% 146.54/146.91
% 146.54/146.91 Resimplifying inuse:
% 146.54/146.91 Done
% 146.54/146.91
% 146.54/146.91
% 146.54/146.91 Intermediate Status:
% 146.54/146.91 Generated: 646867
% 146.54/146.91 Kept: 136144
% 146.54/146.91 Inuse: 1316
% 146.54/146.91 Deleted: 12235
% 146.54/146.91 Deletedinuse: 19
% 146.54/146.91
% 146.54/146.91 Resimplifying inuse:
% 146.54/146.91 Done
% 146.54/146.91
% 146.54/146.91 Resimplifying inuse:
% 146.54/146.91 Done
% 146.54/146.91
% 146.54/146.91
% 146.54/146.91 Intermediate Status:
% 146.54/146.91 Generated: 663292
% 146.54/146.91 Kept: 138265
% 146.54/146.91 Inuse: 1351
% 146.54/146.91 Deleted: 12235
% 146.54/146.91 Deletedinuse: 19
% 146.54/146.91
% 146.54/146.91 Resimplifying inuse:
% 146.54/146.91 Done
% 146.54/146.91
% 146.54/146.91 Resimplifying inuse:
% 146.54/146.91 Done
% 146.54/146.91
% 146.54/146.91
% 146.54/146.91 Intermediate Status:
% 146.54/146.91 Generated: 672662
% 146.54/146.91 Kept: 140549
% 146.54/146.91 Inuse: 1366
% 146.54/146.91 Deleted: 12235
% 146.54/146.91 Deletedinuse: 19
% 146.54/146.91
% 146.54/146.91 Resimplifying inuse:
% 146.54/146.91 Done
% 146.54/146.91
% 146.54/146.91 Resimplifying inuse:
% 146.54/146.91 Done
% 146.54/146.91
% 146.54/146.91
% 146.54/146.91 Intermediate Status:
% 146.54/146.91 Generated: 685923
% 146.54/146.91 Kept: 142683
% 146.54/146.91 Inuse: 1390
% 146.54/146.91 Deleted: 12239
% 146.54/146.91 Deletedinuse: 22
% 146.54/146.91
% 146.54/146.91 Resimplifying inuse:
% 146.54/146.91 Done
% 146.54/146.91
% 146.54/146.91
% 146.54/146.91 Intermediate Status:
% 146.54/146.91 Generated: 706655
% 146.54/146.91 Kept: 145088
% 146.54/146.91 Inuse: 1420
% 146.54/146.91 Deleted: 12239
% 146.54/146.91 Deletedinuse: 22
% 146.54/146.91
% 146.54/146.91 Resimplifying inuse:
% 146.54/146.91 Done
% 146.54/146.91
% 146.54/146.91 Resimplifying clauses:
% 146.54/146.91 Done
% 146.54/146.91
% 146.54/146.91 Resimplifying inuse:
% 146.54/146.91 Done
% 146.54/146.91
% 146.54/146.91
% 146.54/146.91 Intermediate Status:
% 146.54/146.91 Generated: 722078
% 146.54/146.91 Kept: 147090
% 146.54/146.91 Inuse: 1438
% 146.54/146.91 Deleted: 13292
% 146.54/146.91 Deletedinuse: 22
% 146.54/146.91
% 146.54/146.91 Resimplifying inuse:
% 146.54/146.91 Done
% 146.54/146.91
% 146.54/146.91
% 146.54/146.91 Intermediate Status:
% 146.54/146.91 Generated: 731998
% 146.54/146.91 Kept: 149099
% 146.54/146.91 Inuse: 1443
% 146.54/146.91 Deleted: 13292
% 146.54/146.91 Deletedinuse: 22
% 146.54/146.91
% 146.54/146.91 Resimplifying inuse:
% 146.54/146.91 Done
% 146.54/146.91
% 146.54/146.91
% 146.54/146.91 Intermediate Status:
% 146.54/146.91 Generated: 742489
% 146.54/146.91 Kept: 151456
% 146.54/146.91 Inuse: 1455
% 146.54/146.91 Deleted: 13292
% 146.54/146.91 Deletedinuse: 22
% 146.54/146.91
% 146.54/146.91 Resimplifying inuse:
% 146.54/146.91 Done
% 146.54/146.91
% 146.54/146.91
% 146.54/146.91 Intermediate Status:
% 146.54/146.91 Generated: 777181
% 146.54/146.91 Kept: 157036
% 146.54/146.91 Inuse: 1470
% 146.54/146.91 Deleted: 13292
% 247.12/247.56 Deletedinuse: 22
% 247.12/247.56
% 247.12/247.56 Resimplifying inuse:
% 247.12/247.56 Done
% 247.12/247.56
% 247.12/247.56 Resimplifying inuse:
% 247.12/247.56 Done
% 247.12/247.56
% 247.12/247.56
% 247.12/247.56 Intermediate Status:
% 247.12/247.56 Generated: 790494
% 247.12/247.56 Kept: 159385
% 247.12/247.56 Inuse: 1505
% 247.12/247.56 Deleted: 13292
% 247.12/247.56 Deletedinuse: 22
% 247.12/247.56
% 247.12/247.56 Resimplifying inuse:
% 247.12/247.56 Done
% 247.12/247.56
% 247.12/247.56 Resimplifying inuse:
% 247.12/247.56 Done
% 247.12/247.56
% 247.12/247.56
% 247.12/247.56 Intermediate Status:
% 247.12/247.56 Generated: 803852
% 247.12/247.56 Kept: 162462
% 247.12/247.56 Inuse: 1519
% 247.12/247.56 Deleted: 13292
% 247.12/247.56 Deletedinuse: 22
% 247.12/247.56
% 247.12/247.56 Resimplifying inuse:
% 247.12/247.56 Done
% 247.12/247.56
% 247.12/247.56
% 247.12/247.56 Intermediate Status:
% 247.12/247.56 Generated: 829648
% 247.12/247.56 Kept: 166464
% 247.12/247.56 Inuse: 1520
% 247.12/247.56 Deleted: 13292
% 247.12/247.56 Deletedinuse: 22
% 247.12/247.56
% 247.12/247.56 Resimplifying inuse:
% 247.12/247.56 Done
% 247.12/247.56
% 247.12/247.56 Resimplifying clauses:
% 247.12/247.56 Done
% 247.12/247.56
% 247.12/247.56 Resimplifying inuse:
% 247.12/247.56 Done
% 247.12/247.56
% 247.12/247.56
% 247.12/247.56 Intermediate Status:
% 247.12/247.56 Generated: 837556
% 247.12/247.56 Kept: 168501
% 247.12/247.56 Inuse: 1530
% 247.12/247.56 Deleted: 13536
% 247.12/247.56 Deletedinuse: 22
% 247.12/247.56
% 247.12/247.56 Resimplifying inuse:
% 247.12/247.56 Done
% 247.12/247.56
% 247.12/247.56 Resimplifying inuse:
% 247.12/247.56 Done
% 247.12/247.56
% 247.12/247.56
% 247.12/247.56 Intermediate Status:
% 247.12/247.56 Generated: 847892
% 247.12/247.56 Kept: 170994
% 247.12/247.56 Inuse: 1545
% 247.12/247.56 Deleted: 13536
% 247.12/247.56 Deletedinuse: 22
% 247.12/247.56
% 247.12/247.56 Resimplifying inuse:
% 247.12/247.56 Done
% 247.12/247.56
% 247.12/247.56
% 247.12/247.56 Intermediate Status:
% 247.12/247.56 Generated: 862891
% 247.12/247.56 Kept: 173878
% 247.12/247.56 Inuse: 1555
% 247.12/247.56 Deleted: 13536
% 247.12/247.56 Deletedinuse: 22
% 247.12/247.56
% 247.12/247.56 Resimplifying inuse:
% 247.12/247.56 Done
% 247.12/247.56
% 247.12/247.56 Resimplifying inuse:
% 247.12/247.56 Done
% 247.12/247.56
% 247.12/247.56
% 247.12/247.56 Intermediate Status:
% 247.12/247.56 Generated: 872822
% 247.12/247.56 Kept: 176366
% 247.12/247.56 Inuse: 1570
% 247.12/247.56 Deleted: 13536
% 247.12/247.56 Deletedinuse: 22
% 247.12/247.56
% 247.12/247.56 Resimplifying inuse:
% 247.12/247.56 Done
% 247.12/247.56
% 247.12/247.56 Resimplifying inuse:
% 247.12/247.56 Done
% 247.12/247.56
% 247.12/247.56
% 247.12/247.56 Intermediate Status:
% 247.12/247.56 Generated: 883758
% 247.12/247.56 Kept: 178631
% 247.12/247.56 Inuse: 1590
% 247.12/247.56 Deleted: 13536
% 247.12/247.56 Deletedinuse: 22
% 247.12/247.56
% 247.12/247.56 Resimplifying inuse:
% 247.12/247.56 Done
% 247.12/247.56
% 247.12/247.56 Resimplifying inuse:
% 247.12/247.56 Done
% 247.12/247.56
% 247.12/247.56
% 247.12/247.56 Intermediate Status:
% 247.12/247.56 Generated: 895883
% 247.12/247.56 Kept: 181071
% 247.12/247.56 Inuse: 1615
% 247.12/247.56 Deleted: 13536
% 247.12/247.56 Deletedinuse: 22
% 247.12/247.56
% 247.12/247.56 Resimplifying inuse:
% 247.12/247.56 Done
% 247.12/247.56
% 247.12/247.56 Resimplifying inuse:
% 247.12/247.56 Done
% 247.12/247.56
% 247.12/247.56
% 247.12/247.56 Intermediate Status:
% 247.12/247.56 Generated: 905621
% 247.12/247.56 Kept: 183181
% 247.12/247.56 Inuse: 1635
% 247.12/247.56 Deleted: 13536
% 247.12/247.56 Deletedinuse: 22
% 247.12/247.56
% 247.12/247.56 Resimplifying inuse:
% 247.12/247.56 Done
% 247.12/247.56
% 247.12/247.56 Resimplifying inuse:
% 247.12/247.56 Done
% 247.12/247.56
% 247.12/247.56
% 247.12/247.56 Intermediate Status:
% 247.12/247.56 Generated: 922208
% 247.12/247.56 Kept: 186582
% 247.12/247.56 Inuse: 1659
% 247.12/247.56 Deleted: 13536
% 247.12/247.56 Deletedinuse: 22
% 247.12/247.56
% 247.12/247.56 Resimplifying inuse:
% 247.12/247.56 Done
% 247.12/247.56
% 247.12/247.56 Resimplifying clauses:
% 247.12/247.56 Done
% 247.12/247.56
% 247.12/247.56
% 247.12/247.56 Intermediate Status:
% 247.12/247.56 Generated: 931927
% 247.12/247.56 Kept: 189587
% 247.12/247.56 Inuse: 1660
% 247.12/247.56 Deleted: 13940
% 247.12/247.56 Deletedinuse: 22
% 247.12/247.56
% 247.12/247.56 Resimplifying inuse:
% 247.12/247.56 Done
% 247.12/247.56
% 247.12/247.56
% 247.12/247.56 Intermediate Status:
% 247.12/247.56 Generated: 955573
% 247.12/247.56 Kept: 193615
% 247.12/247.56 Inuse: 1665
% 247.12/247.56 Deleted: 13940
% 247.12/247.56 Deletedinuse: 22
% 247.12/247.56
% 247.12/247.56 Resimplifying inuse:
% 247.12/247.56 Done
% 247.12/247.56
% 247.12/247.56 Resimplifying inuse:
% 247.12/247.56 Done
% 247.12/247.56
% 247.12/247.56
% 247.12/247.56 Intermediate Status:
% 247.12/247.56 Generated: 965701
% 247.12/247.56 Kept: 196129
% 247.12/247.56 Inuse: 1680
% 247.12/247.56 Deleted: 13940
% 247.12/247.56 Deletedinuse: 22
% 247.12/247.56
% 247.12/247.56 Resimplifying inuse:
% 247.12/247.56 Done
% 247.12/247.56
% 247.12/247.56 Resimplifying inuse:
% 247.12/247.56 Done
% 247.12/247.56
% 247.12/247.56
% 247.12/247.56 Intermediate Status:
% 247.12/247.56 Generated: 975496
% 247.12/247.56 Kept: 198368
% 247.12/247.56 Inuse: 1695
% 247.12/247.56 Deleted: 13940
% 247.12/247.56 Deletedinuse: 22
% 247.12/247.56
% 247.12/247.56 Resimplifying inuse:
% 247.12/247.56 Done
% 247.12/247.56
% 247.12/247.56 Resimplifying inuse:
% 247.12/247.56 Done
% 247.12/247.56
% 247.12/247.56
% 247.12/247.56 Intermediate Status:
% 247.12/247.56 Generated: 989871
% 247.12/247.56 Kept: 200669
% 247.12/247.56 Inuse: 1725
% 247.12/247.56 Deleted: 13940
% 247.12/247.56 Deletedinuse: 22
% 247.12/247.56
% 247.12/247.56 Resimplifying inuse:
% 247.12/247.56 Done
% 247.12/247.56
% 247.12/247.56 Resimplifying inuse:
% 247.12/247.56 Done
% 247.12/247.56
% 247.12/247.56
% 247.12/247.56 Intermediate Status:
% 247.12/247.56 Generated: 1006420
% 247.12/247.56 Kept: 202713
% 247.12/247.56 Inuse: 1765
% 247.12/247.56 Deleted: 13940
% 247.12/247.56 Deletedinuse: 22
% 247.12/247.56
% 247.12/247.56 Resimplifying inuse:
% 247.12/247.56 Done
% 247.12/247.56
% 247.12/247.56
% 247.12/247.56 Intermediate Status:
% 247.12/247.56 Generated: 1020881
% 247.12/247.56 Kept: 205248
% 247.12/247.56 Inuse: 1785
% 247.12/247.56 Deleted: 13940
% 247.12/247.56 Deletedinuse: 22
% 247.12/247.56
% 247.12/247.56 Resimplifying inuse:
% 247.12/247.56 Done
% 247.12/247.56
% 247.12/247.56 Resimplifying inuse:
% 247.12/247.56 Done
% 247.12/247.56
% 247.12/247.56
% 247.12/247.56 Intermediate Status:
% 247.12/247.56 Generated: 1030241
% 247.12/247.56 Kept: 207414
% 247.12/247.56 Inuse: 1795
% 247.12/247.56 Deleted: 13940
% 247.12/247.56 Deletedinuse: 22
% 247.12/247.56
% 247.12/247.56 Resimplifying clauses:
% 247.12/247.56 Done
% 247.12/247.56
% 247.12/247.56 Resimplifying inuse:
% 247.12/247.56 Done
% 247.12/247.56
% 247.12/247.56 Resimplifying inuse:
% 247.12/247.56 Done
% 247.12/247.56
% 247.12/247.56
% 247.12/247.56 Intermediate Status:
% 247.12/247.56 Generated: 1040352
% 247.12/247.56 Kept: 209738
% 247.12/247.56 Inuse: 1810
% 247.12/247.56 Deleted: 14303
% 247.12/247.56 Deletedinuse: 22
% 247.12/247.56
% 247.12/247.56 Resimplifying inuse:
% 247.12/247.56 Done
% 247.12/247.56
% 247.12/247.56
% 247.12/247.56 Intermediate Status:
% 247.12/247.56 Generated: 1071702
% 247.12/247.56 Kept: 212593
% 247.12/247.56 Inuse: 1815
% 247.12/247.56 Deleted: 14303
% 247.12/247.56 Deletedinuse: 22
% 247.12/247.56
% 247.12/247.56 Resimplifying inuse:
% 247.12/247.56 Done
% 247.12/247.56
% 247.12/247.56 Resimplifying inuse:
% 247.12/247.56 Done
% 247.12/247.56
% 247.12/247.56
% 247.12/247.56 Intermediate Status:
% 247.12/247.56 Generated: 1080349
% 247.12/247.56 Kept: 214753
% 247.12/247.56 Inuse: 1830
% 247.12/247.56 Deleted: 14303
% 247.12/247.56 Deletedinuse: 22
% 247.12/247.56
% 247.12/247.56 Resimplifying inuse:
% 247.12/247.56 Done
% 247.12/247.56
% 247.12/247.56 Resimplifying inuse:
% 247.12/247.56 Done
% 247.12/247.56
% 247.12/247.56
% 247.12/247.56 Intermediate Status:
% 247.12/247.56 Generated: 1090391
% 247.12/247.56 Kept: 216764
% 247.12/247.56 Inuse: 1853
% 247.12/247.56 Deleted: 14303
% 247.12/247.56 Deletedinuse: 22
% 247.12/247.56
% 247.12/247.56 Resimplifying inuse:
% 247.12/247.56 Done
% 247.12/247.56
% 247.12/247.56
% 247.12/247.56 Intermediate Status:
% 247.12/247.56 Generated: 1111127
% 247.12/247.56 Kept: 220794
% 247.12/247.56 Inuse: 1875
% 300.02/300.42 Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------