TSTP Solution File: SWV618-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV618-1 : 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 16:27:10 EDT 2022
% Result : Timeout 300.03s 300.43s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV618-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Wed Jun 15 07:55:37 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.08/1.44 *** allocated 10000 integers for termspace/termends
% 1.08/1.44 *** allocated 10000 integers for clauses
% 1.08/1.44 *** allocated 10000 integers for justifications
% 1.08/1.44 *** allocated 15000 integers for termspace/termends
% 1.08/1.44 *** allocated 22500 integers for termspace/termends
% 1.08/1.44 Bliksem 1.12
% 1.08/1.44
% 1.08/1.44
% 1.08/1.44 Automatic Strategy Selection
% 1.08/1.44
% 1.08/1.44 Clauses:
% 1.08/1.44 [
% 1.08/1.44 [ ~( 'class_Power_Opower'( X ) ), =( hAPP(
% 1.08/1.44 'c_Power_Opower__class_Opower'( Y, X ), 'c_Suc'( Z ) ),
% 1.08/1.44 'c_HOL_Otimes__class_Otimes'( Y, hAPP( 'c_Power_Opower__class_Opower'( Y
% 1.08/1.44 , X ), Z ), X ) ) ],
% 1.08/1.44 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP(
% 1.08/1.44 'c_Power_Opower__class_Opower'( Y, X ), 'c_Suc'( Z ) ),
% 1.08/1.44 'c_HOL_Otimes__class_Otimes'( hAPP( 'c_Power_Opower__class_Opower'( Y, X
% 1.08/1.44 ), Z ), Y, X ) ) ],
% 1.08/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP(
% 1.08/1.44 'c_Power_Opower__class_Opower'( Y, X ), 'c_Suc'( Z ) ),
% 1.08/1.44 'c_HOL_Otimes__class_Otimes'( Y, hAPP( 'c_Power_Opower__class_Opower'( Y
% 1.08/1.44 , X ), Z ), X ) ) ],
% 1.08/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.08/1.44 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.08/1.44 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.08/1.44 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.08/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.08/1.44 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T
% 1.08/1.44 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ), ~(
% 1.08/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.08/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.08/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.08/1.44 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.08/1.44 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.08/1.44 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.08/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.08/1.44 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.08/1.44 Y, 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ), ~(
% 1.08/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.08/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 1.08/1.44 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.08/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.08/1.44 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 1.08/1.44 ), X ), Y ) ],
% 1.08/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.08/1.44 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.08/1.44 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.08/1.44 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.08/1.44 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'(
% 1.08/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.08/1.44 ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T
% 1.08/1.44 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.08/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.08/1.44 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.08/1.44 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.08/1.44 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.08/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.08/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.08/1.44 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.08/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 1.08/1.44 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~(
% 1.08/1.44 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 1.08/1.44 'tc_nat' ) ), 'tc_nat' ) ) ],
% 1.08/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.08/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.08/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.08/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.08/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.08/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.08/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.08/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.08/1.44 [ ~( 'class_Ring__and__Field_Odvd'( X ) ),
% 1.08/1.44 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 1.08/1.44 , Z, X ), X ) ],
% 1.08/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.08/1.44 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 1.08/1.44 , Z, X ), X ) ],
% 1.08/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.08/1.44 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 1.08/1.44 , Y, X ), X ) ],
% 1.08/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.08/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.08/1.44 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.08/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.08/1.44 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'(
% 1.08/1.44 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( T, Z, X ) )
% 1.08/1.44 ],
% 1.08/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.08/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.08/1.44 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.08/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.08/1.44 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'( Y,
% 1.08/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, T, X ) ) ]
% 1.08/1.44 ,
% 1.08/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.08/1.44 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.08/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.08/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.08/1.44 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.08/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.08/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~(
% 1.08/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.08/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.08/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.08/1.44 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.08/1.44 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.08/1.44 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.08/1.44 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.08/1.44 'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.08/1.44 ), X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.08/1.44 'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.08/1.44 ), X ), X ) ) ],
% 1.08/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.08/1.44 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.08/1.44 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.08/1.44 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.08/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.08/1.44 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.08/1.44 ), X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.08/1.44 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.08/1.44 ), X ), Z, X ) ) ],
% 1.08/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.08/1.44 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.08/1.44 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.08/1.44 , Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.08/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.08/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.08/1.44 'c_HOL_Oinverse__class_Odivide'( T, Z, X ),
% 1.08/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.08/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.08/1.44 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.08/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.08/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.08/1.44 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.08/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.08/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ),
% 1.08/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.08/1.44 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.08/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.08/1.44 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 1.08/1.44 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.08/1.44 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.08/1.44 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.08/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.08/1.44 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.08/1.44 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_lessequals'( Z, Y, X )
% 1.08/1.44 ) ],
% 1.08/1.44 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.08/1.44 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.08/1.44 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.08/1.44 , X ), X ) ) ],
% 1.08/1.44 [ ~( 'class_Orderings_Obot'( X ) ), 'c_lessequals'(
% 1.08/1.44 'c_Orderings_Obot__class_Obot'( X ), Y, X ) ],
% 1.08/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP(
% 1.08/1.44 'c_Power_Opower__class_Opower'( Y, X ), 'c_Suc'( Z ) ),
% 1.08/1.44 'c_HOL_Otimes__class_Otimes'( Y, hAPP( 'c_Power_Opower__class_Opower'( Y
% 1.08/1.44 , X ), Z ), X ) ) ],
% 1.08/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.08/1.44 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.08/1.44 , Y, X ) ) ],
% 1.08/1.44 [ =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 1.08/1.44 'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_nat' ) ) ],
% 1.08/1.44 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.08/1.44 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.08/1.44 , Y, X ) ) ],
% 1.08/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.08/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.08/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), T, X ), ~(
% 1.08/1.44 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.08/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.08/1.44 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ),
% 1.08/1.44 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.08/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.08/1.44 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.08/1.44 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.08/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.08/1.44 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.08/1.44 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.08/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ),
% 1.08/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.08/1.44 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.08/1.44 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 1.08/1.44 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.08/1.44 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.08/1.44 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 1.08/1.44 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.08/1.44 [ =( hAPP( 'c_COMBK'( X, Y, Z ), T ), X ) ],
% 1.08/1.44 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.08/1.44 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.08/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.08/1.44 , X ), 'c_lessequals'( Z, Y, X ) ],
% 1.08/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 1.08/1.44 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 1.08/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 1.08/1.44 , X ), 'c_lessequals'( Y, Y, X ) ],
% 1.08/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.08/1.44 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.08/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.08/1.44 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 1.08/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.08/1.44 , X ), 'c_lessequals'( Z, Y, X ) ],
% 1.08/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.08/1.44 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.08/1.44 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.08/1.44 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.08/1.44 , T, X ) ) ), =( Z, T ) ],
% 1.08/1.44 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.08/1.44 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.08/1.44 , T, X ) ) ), =( Y, Z ) ],
% 1.08/1.44 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 1.08/1.44 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) ) ), ~(
% 1.08/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.08/1.44 'tc_nat' ) ), =( Y, Z ) ],
% 1.08/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.08/1.44 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X
% 1.08/1.44 , Y, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat'
% 1.08/1.44 ) ) ],
% 1.08/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.08/1.44 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y
% 1.08/1.44 , X, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_nat' ), 'tc_nat'
% 1.08/1.44 ) ) ],
% 1.08/1.44 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.08/1.44 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.08/1.44 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.08/1.44 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.08/1.44 , T, X ), X ) ) ],
% 1.08/1.44 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.08/1.44 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.08/1.44 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.08/1.44 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.08/1.44 , Z, X ), X ) ) ],
% 1.08/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.08/1.44 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.08/1.44 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X
% 1.08/1.44 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 1.08/1.44 ) ) ],
% 1.08/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.08/1.44 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.08/1.44 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.08/1.44 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.08/1.44 X ), T, X ) ) ],
% 1.08/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.08/1.44 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.08/1.44 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( T, Z, X
% 1.08/1.44 ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.08/1.44 ) ) ],
% 1.08/1.44 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.08/1.44 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.08/1.44 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.08/1.44 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.08/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.08/1.44 [ =( X, 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X,
% 1.08/1.44 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X
% 1.08/1.44 , 'c_Suc'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat'
% 1.08/1.44 ) ) ],
% 1.08/1.44 [ ~( 'class_Int_Oring__char__0'( X ) ), ~( 'class_Int_Onumber__ring'( X
% 1.08/1.44 ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.08/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =( Y, Z ) ],
% 1.08/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.08/1.44 'c_Suc'( X ), 'tc_nat' ) ],
% 1.08/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.08/1.44 'c_Suc'( X ), 'tc_nat' ) ],
% 1.08/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.08/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.08/1.44 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ),
% 1.08/1.44 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.08/1.44 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 1.08/1.44 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 1.08/1.44 'c_SetInterval_Oord__class_OlessThan'( Z, X ) ) ), =( Y, Z ) ],
% 1.08/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.08/1.44 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.08/1.44 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'tc_nat' ) )
% 1.08/1.44 ],
% 1.08/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.08/1.44 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.08/1.44 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_nat' ), 'tc_nat' ) )
% 1.08/1.44 ],
% 1.08/1.44 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.08/1.44 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 1.08/1.44 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.08/1.44 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.08/1.44 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.08/1.44 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 1.08/1.44 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.08/1.44 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.08/1.44 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.08/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 1.08/1.44 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.08/1.44 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.08/1.44 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.08/1.44 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 1.08/1.44 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.08/1.44 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.08/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.08/1.44 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.08/1.44 , X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.08/1.44 ,
% 1.08/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.08/1.44 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.08/1.44 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.08/1.44 , X ) ) ],
% 1.08/1.44 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.08/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( Z ), X
% 1.08/1.44 , 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( Z ), Y, 'tc_nat' ),
% 1.08/1.44 'tc_nat' ) ) ],
% 1.08/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X )
% 1.08/1.44 , Y, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X ), Z, 'tc_nat'
% 1.08/1.44 ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 1.08/1.44 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ), =( 'c_Suc'( X
% 1.08/1.44 ), Y ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.08/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.08/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 1.08/1.44 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.08/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.08/1.44 'c_HOL_Oone__class_Oone'( X ), X ) ) ],
% 1.08/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.08/1.44 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.08/1.44 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.08/1.44 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.08/1.44 X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.08/1.44 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.08/1.44 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 1.08/1.44 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.44 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.08/1.44 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.08/1.44 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.08/1.44 ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.08/1.44 X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~(
% 1.08/1.44 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 1.08/1.44 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.08/1.45 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.08/1.45 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.08/1.45 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.08/1.45 T, 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.08/1.45 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.08/1.45 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.08/1.45 ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.08/1.45 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.08/1.45 ,
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.08/1.45 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.08/1.45 ,
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.08/1.45 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_Orderings_Obot__class_Obot'(
% 1.08/1.45 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.08/1.45 Y, Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 1.08/1.45 [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 1.08/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.08/1.45 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ) ) ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.08/1.45 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.08/1.45 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.08/1.45 X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 'c_lessequals'(
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.08/1.45 ), X ), Z, X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.08/1.45 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.08/1.45 Y, 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), T, X ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'( Y,
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( T, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.08/1.45 , X ), X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.08/1.45 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.08/1.45 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.08/1.45 ), X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.08/1.45 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.08/1.45 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.08/1.45 ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 'c_lessequals'(
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( T
% 1.08/1.45 , X ), X ), Z, X ) ) ],
% 1.08/1.45 [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ), 'c_Finite__Set_Ofinite'(
% 1.08/1.45 Y, X ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.08/1.45 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.08/1.45 X ), T, X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.08/1.45 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.08/1.45 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.08/1.45 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 1.08/1.45 ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.08/1.45 'tc_nat' ) ) ],
% 1.08/1.45 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_nat' )
% 1.08/1.45 , 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ) ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 1.08/1.45 'tc_nat' ) ) ],
% 1.08/1.45 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.08/1.45 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 1.08/1.45 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 1.08/1.45 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 1.08/1.45 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.08/1.45 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 1.08/1.45 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.08/1.45 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 1.08/1.45 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.08/1.45 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 1.08/1.45 ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.08/1.45 'tc_nat' ) ) ],
% 1.08/1.45 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.08/1.45 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 1.08/1.45 ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 1.08/1.45 'tc_nat' ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.08/1.45 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T,
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 1.08/1.45 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, T
% 1.08/1.45 , X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.08/1.45 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T,
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 1.08/1.45 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( T, Y
% 1.08/1.45 , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Z, X ) ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.08/1.45 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.08/1.45 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.08/1.45 ), Y ) ],
% 1.08/1.45 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 1.08/1.45 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.08/1.45 ) ) ],
% 1.08/1.45 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 1.08/1.45 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.08/1.45 ) ) ],
% 1.08/1.45 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 1.08/1.45 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.08/1.45 ), Y ) ],
% 1.08/1.45 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.08/1.45 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.08/1.45 ), Y ) ],
% 1.08/1.45 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.08/1.45 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.08/1.45 X ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ) ],
% 1.08/1.45 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.08/1.45 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ) ]
% 1.08/1.45 ,
% 1.08/1.45 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.08/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 1.08/1.45 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 1.08/1.45 , X ) ) ],
% 1.08/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 1.08/1.45 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 1.08/1.45 , X ) ) ],
% 1.08/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 1.08/1.45 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.08/1.45 , X ) ) ],
% 1.08/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 1.08/1.45 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.08/1.45 , X ) ) ],
% 1.08/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.08/1.45 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 1.08/1.45 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 1.08/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.08/1.45 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 1.08/1.45 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 1.08/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.08/1.45 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 1.08/1.45 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.08/1.45 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 1.08/1.45 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), =(
% 1.08/1.45 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( 'class_Int_Onumber'( X )
% 1.08/1.45 ), =( 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.08/1.45 Y, X ), 'c_HOL_Ominus__class_Ominus'( Z, T, X ), X ),
% 1.08/1.45 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'(
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ),
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.08/1.45 , T, X ), X ) ) ],
% 1.08/1.45 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'c_Suc'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, 'c_Suc'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.08/1.45 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'c_Suc'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X, 'c_Suc'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.08/1.45 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.08/1.45 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ), ~(
% 1.08/1.45 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.08/1.45 [ 'c_Finite__Set_Ofinite'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.08/1.45 'tc_bool' ) ), X ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.08/1.45 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), Z, X ) ) ]
% 1.08/1.45 ,
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.08/1.45 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.08/1.45 'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ]
% 1.08/1.45 ,
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.08/1.45 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Y
% 1.08/1.45 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 1.08/1.45 ,
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 1.08/1.45 , 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 1.08/1.45 ,
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.08/1.45 , Z, X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.08/1.45 , T, X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.08/1.45 , Z, X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.08/1.45 , T, X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =(
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.08/1.45 , Z, X ) ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), =( Y, Z ) ]
% 1.08/1.45 ,
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.08/1.45 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 1.08/1.45 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 1.08/1.45 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 1.08/1.45 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 1.08/1.45 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.08/1.45 'tc_nat' ), X, 'tc_nat' ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.08/1.45 ,
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.08/1.45 ,
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.08/1.45 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~(
% 1.08/1.45 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.08/1.45 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~(
% 1.08/1.45 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.08/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.08/1.45 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.08/1.45 , X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.08/1.45 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.08/1.45 Z, Y, X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'(
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ],
% 1.08/1.45 [ =( 'c_SetInterval_Oord__class_OlessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.08/1.45 'tc_nat' ), 'tc_nat' ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.08/1.45 'tc_nat', 'tc_bool' ) ) ) ],
% 1.08/1.45 [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 1.08/1.45 ) ), Y ) ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.08/1.45 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'( Y,
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 1.08/1.45 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 1.08/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 1.08/1.45 'c_lessequals'( Z, Y, X ) ) ],
% 1.08/1.45 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.08/1.45 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.08/1.45 , X ) ) ), =( Y, Z ) ],
% 1.08/1.45 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 1.08/1.45 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.08/1.45 , X ) ) ), =( Y, Z ) ],
% 1.08/1.45 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.08/1.45 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.08/1.45 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.08/1.45 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 1.08/1.45 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.08/1.45 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.08/1.45 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 1.08/1.45 Y, X, 'tc_nat' ), =( Y, X ) ],
% 1.08/1.45 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), 'c_HOL_Oord__class_Oless'( Y, Z,
% 1.08/1.45 'tc_nat' ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ],
% 1.08/1.45 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 1.08/1.45 Y, X, 'tc_nat' ), =( Y, X ) ],
% 1.08/1.45 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 1.08/1.45 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.08/1.45 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.08/1.45 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 1.08/1.45 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.08/1.45 ) ],
% 1.08/1.45 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.08/1.45 ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.08/1.45 ), =( Z, Y ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.08/1.45 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Y, X ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.08/1.45 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 1.08/1.45 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~(
% 1.08/1.45 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.08/1.45 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), X ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.08/1.45 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Otimes__class_Otimes'( Z,
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ],
% 1.08/1.45 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 1.08/1.45 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 1.08/1.45 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.08/1.45 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.08/1.45 X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.08/1.45 , Z, X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.08/1.45 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.08/1.45 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 1.08/1.45 X ), X ) ) ],
% 1.08/1.45 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' )
% 1.08/1.45 , 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.08/1.45 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_nat' )
% 1.08/1.45 , 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.08/1.45 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.08/1.45 , X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.08/1.45 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.08/1.45 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~(
% 1.08/1.45 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.08/1.45 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.08/1.45 ), X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.08/1.45 , X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.08/1.45 ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.08/1.45 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X
% 1.08/1.45 ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.08/1.45 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ),
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.08/1.45 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.08/1.45 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.08/1.45 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.08/1.45 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X
% 1.08/1.45 ), Y, X ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'(
% 1.08/1.45 Z, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.08/1.45 ), X ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T,
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.08/1.45 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.08/1.45 , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.08/1.45 , X ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.08/1.45 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.08/1.45 ), X ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.08/1.45 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.08/1.45 X ), X ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'(
% 1.08/1.45 Z, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.08/1.45 ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.08/1.45 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.08/1.45 , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.08/1.45 ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.08/1.45 ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.08/1.45 ), X ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.08/1.45 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.08/1.45 , X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.08/1.45 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.08/1.45 , X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.08/1.45 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.08/1.45 Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.08/1.45 , X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.08/1.45 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.08/1.45 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.08/1.45 , X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.08/1.45 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.08/1.45 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 1.08/1.45 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ]
% 1.08/1.45 ,
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.08/1.45 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 1.08/1.45 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ]
% 1.08/1.45 ,
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.08/1.45 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 1.08/1.45 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, T
% 1.08/1.45 , X ), Z, X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.08/1.45 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 1.08/1.45 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( T, Y
% 1.08/1.45 , X ), Z, X ) ) ],
% 1.08/1.45 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 1.08/1.45 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.08/1.45 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), T, X ),
% 1.08/1.45 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'(
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 1.08/1.45 , T, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), X ) ), =( Z
% 1.08/1.45 , 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.08/1.45 ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), =( Y
% 1.08/1.45 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.08/1.45 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.08/1.45 , X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ), 'c_lessequals'(
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.08/1.45 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.08/1.45 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.08/1.45 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.08/1.45 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.08/1.45 , Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.08/1.45 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.08/1.45 , T, X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.08/1.45 ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.08/1.45 , Z, X ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.08/1.45 ), ~( 'c_lessequals'( T, Y, X ) ) ],
% 1.08/1.45 [ ~( =( X, 'c_Suc'( X ) ) ) ],
% 1.08/1.45 [ ~( =( 'c_Suc'( X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 1.08/1.45 ), =( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Z ) ],
% 1.08/1.45 [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 1.08/1.45 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 1.08/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.08/1.45 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 1.08/1.45 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 1.08/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 1.08/1.45 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.08/1.45 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.08/1.45 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.08/1.45 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 1.08/1.45 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.08/1.45 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.08/1.45 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.08/1.45 , Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.08/1.45 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.08/1.45 [ ~( =( 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X ), Y, 'tc_nat' ),
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X ), Z, 'tc_nat' ) ) ), =( Y, Z )
% 1.08/1.45 ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.08/1.45 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.08/1.45 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.08/1.45 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), T, X ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.08/1.45 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.08/1.45 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 1.08/1.45 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.08/1.45 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 1.08/1.45 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.08/1.45 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.08/1.45 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.08/1.45 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.08/1.45 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.08/1.45 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.08/1.45 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.08/1.45 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.08/1.45 , X ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.08/1.45 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 1.08/1.45 ), X ), Y ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( Y,
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 1.08/1.45 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 1.08/1.45 , X ) ) ],
% 1.08/1.45 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), ~( =(
% 1.08/1.45 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y ) ), =( Y,
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.08/1.45 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.08/1.45 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 1.08/1.45 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.08/1.45 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ), =( Z,
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.08/1.45 ) ],
% 1.08/1.45 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.08/1.45 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.08/1.45 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.08/1.45 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.08/1.45 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.08/1.45 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z,
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.08/1.45 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.08/1.45 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.08/1.45 ) ],
% 1.08/1.45 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.08/1.45 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.08/1.45 ) ],
% 1.08/1.45 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.08/1.45 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.08/1.45 ) ],
% 1.08/1.45 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.08/1.45 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.08/1.45 ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.08/1.45 X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y, X ),
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.08/1.45 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 1.08/1.45 ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ],
% 1.08/1.45 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.08/1.45 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.08/1.45 ) ), =( Y, Z ) ],
% 1.08/1.45 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.08/1.45 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.08/1.45 ) ), =( Y, Z ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.08/1.45 X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.08/1.45 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.08/1.45 ,
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y, X ), ~( 'c_lessequals'( Z,
% 1.08/1.45 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X ), ~( 'c_lessequals'( Y,
% 1.08/1.45 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.08/1.45 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.08/1.45 X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 1.08/1.45 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.08/1.45 X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 1.08/1.45 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.08/1.45 X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.08/1.45 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.08/1.45 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 1.08/1.45 X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.08/1.45 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_lessequals'( Y,
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.08/1.45 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 1.08/1.45 X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.08/1.45 Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.08/1.45 ~( 'c_lessequals'( hAPP( 'c_Power_Opower__class_Opower'( Y, X ), 'c_Suc'(
% 1.08/1.45 T ) ), hAPP( 'c_Power_Opower__class_Opower'( Z, X ), 'c_Suc'( T ) ), X )
% 1.08/1.45 ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_lessequals'( Y,
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP(
% 1.08/1.45 'c_Power_Opower__class_Opower'( Y, X ),
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ),
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( hAPP(
% 1.08/1.45 'c_Power_Opower__class_Opower'( Y, X ), 'c_Suc'( Z ) ), hAPP(
% 1.08/1.45 'c_Power_Opower__class_Opower'( T, X ), 'c_Suc'( Z ) ) ) ), =( Y, T ),
% 1.08/1.45 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.08/1.45 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.08/1.45 hAPP( 'c_Power_Opower__class_Opower'( Y, X ), T ), hAPP(
% 1.08/1.45 'c_Power_Opower__class_Opower'( Z, X ), T ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( hAPP( 'c_Power_Opower__class_Opower'( Y, X ),
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ),
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.08/1.45 'class_Int_Onumber'( X ) ), ~( =( 'c_HOL_Oinverse__class_Odivide'( Y, Z,
% 1.08/1.45 X ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), =( Y,
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( T, X )
% 1.08/1.45 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.08/1.45 'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 1.08/1.45 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 1.08/1.45 , X ) ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.08/1.45 'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.08/1.45 , Z, X ), Z, X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), =( Z,
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.08/1.45 'class_Int_Onumber'( X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.08/1.45 , X ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y ), =(
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.08/1.45 ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.08/1.45 'class_Int_Onumber'( X ) ), =( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.08/1.45 , X ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), =(
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.08/1.45 ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.08/1.45 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.08/1.45 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.08/1.45 ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.08/1.45 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.08/1.45 ~( 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.08/1.45 , 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.08/1.45 'class_Int_Onumber'( X ) ), =( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.08/1.45 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), Z, X ) ), =( Z,
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.08/1.45 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.08/1.45 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.08/1.45 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.08/1.45 Z, X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.08/1.45 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.08/1.45 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.08/1.45 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.08/1.45 , T, X ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.08/1.45 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.08/1.45 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.08/1.45 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.08/1.45 , T, X ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 1.08/1.45 ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.08/1.45 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ),
% 1.08/1.45 ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X
% 1.08/1.45 ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.08/1.45 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.08/1.45 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.08/1.45 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X
% 1.08/1.45 ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.08/1.45 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.08/1.45 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 1.08/1.45 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.08/1.45 , Z, X ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.08/1.45 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.08/1.45 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 1.08/1.45 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.08/1.45 , Z, X ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.08/1.45 ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.08/1.45 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.08/1.45 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 1.08/1.45 , Y, X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.08/1.45 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.08/1.45 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.08/1.45 ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.08/1.45 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.08/1.45 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 1.08/1.45 , 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.08/1.45 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.08/1.45 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.08/1.45 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.08/1.45 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.08/1.45 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.08/1.45 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.08/1.45 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'(
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.08/1.45 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.08/1.45 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'(
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.08/1.45 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T,
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.08/1.45 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.08/1.45 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), Z, X ),
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.08/1.45 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.08/1.45 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.08/1.45 ,
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.08/1.45 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 1.08/1.45 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.08/1.45 ,
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.08/1.45 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.08/1.45 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.08/1.45 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.08/1.45 Y, T, X ), Z, X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.08/1.45 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.08/1.45 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.08/1.45 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.08/1.45 Y, T, X ), Z, X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.08/1.45 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.08/1.45 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 1.08/1.45 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.08/1.45 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.08/1.45 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 1.08/1.45 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.08/1.45 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.08/1.45 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), Z, X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.08/1.45 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.08/1.45 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.08/1.45 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.08/1.45 ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.08/1.45 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.08/1.45 X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ), =(
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.08/1.45 , T, X ), Z ), =( T, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 1.08/1.45 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 1.08/1.45 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.08/1.45 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 1.08/1.45 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.08/1.45 ,
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.08/1.45 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.08/1.45 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.08/1.45 ,
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.08/1.45 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.08/1.45 X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.08/1.45 X ), T, X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.08/1.45 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.08/1.45 Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.08/1.45 X ), Z, X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.08/1.45 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.08/1.45 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.08/1.45 X ), Z, X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.08/1.45 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.08/1.45 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 1.08/1.45 Z, X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.08/1.45 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z,
% 1.08/1.45 X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.08/1.45 Z, X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 1.08/1.45 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 1.08/1.45 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, T,
% 1.08/1.45 X ), Z, X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.08/1.45 'class_Int_Onumber'( X ) ), =( Y, 'c_HOL_Oinverse__class_Odivide'(
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.08/1.45 ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), =(
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.08/1.45 ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.08/1.45 'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.08/1.45 ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y ), =(
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.08/1.45 ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.08/1.45 'class_Int_Onumber'( X ) ), =( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.08/1.45 ), X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( U, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), U, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.08/1.45 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 1.08/1.45 ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~( 'c_lessequals'(
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( Z,
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( Y,
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.08/1.45 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.08/1.45 ), X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X )
% 1.08/1.45 , X ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.08/1.45 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.08/1.45 ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.08/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.08/1.45 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.08/1.45 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( T, U, X ) ) ],
% 1.08/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.08/1.45 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.08/1.45 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.08/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.08/1.45 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.08/1.45 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 1.08/1.45 ,
% 1.08/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.08/1.45 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.08/1.45 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 1.08/1.45 ,
% 1.08/1.45 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.08/1.45 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.08/1.45 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.08/1.45 ,
% 1.08/1.45 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.08/1.45 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.08/1.45 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.08/1.45 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 1.08/1.45 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 1.08/1.45 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 1.08/1.45 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.08/1.45 ,
% 1.08/1.45 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.08/1.45 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 1.08/1.45 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.08/1.45 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.08/1.45 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.08/1.45 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 1.08/1.45 Y, X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.08/1.45 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.08/1.45 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.08/1.45 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.08/1.45 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.08/1.45 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.08/1.45 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.08/1.45 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.08/1.45 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.08/1.45 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.08/1.45 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.08/1.45 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ouminus__class_Ouminus'(
% 1.08/1.45 Y, X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.08/1.45 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.08/1.45 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.08/1.45 , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.08/1.45 , X ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.08/1.45 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.08/1.45 ), X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.08/1.45 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.08/1.45 , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.08/1.45 ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.08/1.45 ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.08/1.45 ), X ), Z, X ) ) ],
% 1.08/1.45 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.08/1.45 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 1.08/1.45 T, X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.08/1.45 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.08/1.45 X ), Z, X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.08/1.45 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 1.08/1.45 T, X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.08/1.45 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.08/1.45 X ), T, X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.08/1.45 , X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.08/1.45 T, X ), X ) ) ],
% 1.08/1.45 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.08/1.45 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X,
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.08/1.45 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.08/1.45 X ), T, X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.08/1.45 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.08/1.45 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.08/1.45 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 1.08/1.45 , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.08/1.45 X ), T, X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, T,
% 1.08/1.45 X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.08/1.45 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.08/1.45 X ), ~( 'c_lessequals'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.08/1.45 ,
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.08/1.45 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.08/1.45 , X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.08/1.45 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 1.08/1.45 , X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.08/1.45 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.08/1.45 , X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.08/1.45 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 1.08/1.45 , X ) ) ],
% 1.08/1.45 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 1.08/1.45 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.08/1.45 X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 1.08/1.45 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.08/1.45 X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 1.08/1.45 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.08/1.45 X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 1.08/1.45 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.08/1.45 X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =(
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.08/1.45 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 1.08/1.45 Y, Y, X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.08/1.45 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 1.08/1.45 Y, Z, X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.08/1.45 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.08/1.45 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.08/1.45 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.08/1.45 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.08/1.45 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.08/1.45 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.08/1.45 [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 1.08/1.45 X, 'c_Suc'( X ), 'tc_nat' ) ],
% 1.08/1.45 [ ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X ), 'tc_nat' ) ) ],
% 1.08/1.45 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.08/1.45 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, X )
% 1.08/1.45 , 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.08/1.45 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.08/1.45 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.08/1.45 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.08/1.45 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.08/1.45 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.08/1.45 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.08/1.45 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 1.08/1.45 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'(
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.08/1.45 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 1.08/1.45 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), X ) ), =( Z,
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.08/1.45 ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.08/1.45 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 1.08/1.45 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 1.08/1.45 Z, X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.08/1.45 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 1.08/1.45 Z, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.08/1.45 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 1.08/1.45 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.08/1.45 , X ), Z, X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.08/1.45 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.08/1.45 , X ), Z, X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ]
% 1.08/1.45 ,
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.08/1.45 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.08/1.45 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.08/1.45 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.08/1.45 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.08/1.45 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.08/1.45 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.08/1.45 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.08/1.45 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.08/1.45 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y
% 1.08/1.45 , X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.08/1.45 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.08/1.45 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Z
% 1.08/1.45 , X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ), =( Z,
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.08/1.45 ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.08/1.45 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 1.08/1.45 , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.08/1.45 X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( Y, T, X ),
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.08/1.45 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.08/1.45 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.08/1.45 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.08/1.45 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T,
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ), ~(
% 1.08/1.45 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.08/1.45 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.08/1.45 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.08/1.45 ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ), ~( 'c_lessequals'(
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.08/1.45 ), X ), Z, X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.08/1.45 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 1.08/1.45 'tc_nat' ) ), 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'tc_nat' )
% 1.08/1.45 , ~( 'c_HOL_Oord__class_Oless'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 1.08/1.45 'tc_nat' ) ), X, 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_Suc'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Y, 'tc_nat' ) ) ],
% 1.08/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.08/1.45 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.08/1.45 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.08/1.45 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.08/1.45 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.08/1.45 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_lessequals'( Y,
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.08/1.45 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.08/1.45 ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.08/1.45 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T,
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.08/1.45 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.08/1.45 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.08/1.45 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T
% 1.08/1.45 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.08/1.45 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.08/1.45 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.08/1.45 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.08/1.45 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.08/1.45 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.08/1.45 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.08/1.45 Y, 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), =( Y
% 1.08/1.45 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.08/1.45 , X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.08/1.45 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 1.08/1.45 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.08/1.45 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.08/1.45 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 1.08/1.45 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.08/1.45 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.08/1.45 , X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.08/1.45 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.08/1.45 ,
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( 'class_Int_Onumber'( X )
% 1.08/1.45 ), =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 1.08/1.45 X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ),
% 1.08/1.45 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( T, X ), X ),
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.08/1.45 ), X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.08/1.45 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.08/1.45 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.08/1.45 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 1.08/1.45 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.08/1.45 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.08/1.45 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 1.08/1.45 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.08/1.45 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 1.08/1.45 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.08/1.45 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.08/1.45 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.08/1.45 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.08/1.45 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 1.08/1.45 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~( 'c_lessequals'( Y,
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'( Z,
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( hAPP( 'c_Power_Opower__class_Opower'( Y, X ),
% 1.08/1.45 Z ), hAPP( 'c_Power_Opower__class_Opower'( T, X ), Z ), X ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 1.08/1.45 'tc_nat' ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.08/1.45 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.08/1.45 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.08/1.45 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.08/1.45 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.08/1.45 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.08/1.45 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oone__class_Oone'( X ), Y,
% 1.08/1.45 X ) ],
% 1.08/1.45 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 1.08/1.45 ],
% 1.08/1.45 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.08/1.45 ],
% 1.08/1.45 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.08/1.45 ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.08/1.45 ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 1.08/1.45 ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.08/1.45 ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 1.08/1.45 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 1.08/1.45 ), =( Y, 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.08/1.45 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 1.08/1.45 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.08/1.45 'tc_nat' ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.08/1.45 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.08/1.45 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.08/1.45 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.08/1.45 ), X, 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.08/1.45 [ =( 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.08/1.45 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.08/1.45 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) ) ), =( Y, Z ), =( X,
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.08/1.45 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) ) ), =( X,
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y, Z ) ],
% 1.08/1.45 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ) ) ), =( Y,
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, Z ) ],
% 1.08/1.45 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.08/1.45 ), 'tc_nat' ) ) ],
% 1.08/1.45 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.08/1.45 ), 'tc_nat' ) ) ],
% 1.08/1.45 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.08/1.45 ), X, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 1.08/1.45 [ =( 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.08/1.45 'tc_nat' ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Y,
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 1.08/1.45 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X,
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.08/1.45 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 1.08/1.45 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( hAPP( 'c_Power_Opower__class_Opower'( Y, X ),
% 1.08/1.45 Z ), hAPP( 'c_Power_Opower__class_Opower'( Y, X ), T ), X ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.08/1.45 hAPP( 'c_Power_Opower__class_Opower'( T, X ), Y ), hAPP(
% 1.08/1.45 'c_Power_Opower__class_Opower'( T, X ), Z ), X ) ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), T, X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( hAPP( 'c_Power_Opower__class_Opower'( Y, X ),
% 1.08/1.45 Z ), hAPP( 'c_Power_Opower__class_Opower'( Y, X ), T ), X ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.08/1.45 hAPP( 'c_Power_Opower__class_Opower'( T, X ), Y ), hAPP(
% 1.08/1.45 'c_Power_Opower__class_Opower'( T, X ), Z ), X ) ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), T, X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), hAPP(
% 1.08/1.45 'c_Power_Opower__class_Opower'( Y, X ), 'c_Suc'( Z ) ), X ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), =( hAPP(
% 1.08/1.45 'c_Power_Opower__class_Opower'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.08/1.45 ), Z ), 'c_HOL_Otimes__class_Otimes'( hAPP(
% 1.08/1.45 'c_Power_Opower__class_Opower'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.08/1.45 'c_HOL_Oone__class_Oone'( X ), X ), X ), Z ), hAPP(
% 1.08/1.45 'c_Power_Opower__class_Opower'( Y, X ), Z ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( hAPP( 'c_Power_Opower__class_Opower'( Y, X ),
% 1.08/1.45 Z ), 'c_HOL_Otimes__class_Otimes'( Y, hAPP(
% 1.08/1.45 'c_Power_Opower__class_Opower'( Y, X ), Z ), X ), X ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( Y, hAPP( 'c_Power_Opower__class_Opower'( Y
% 1.08/1.45 , X ), Z ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.08/1.45 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.08/1.45 'c_Ring__and__Field_Odvd__class_Odvd'( Y, hAPP(
% 1.08/1.45 'c_Power_Opower__class_Opower'( Y, X ), Z ), X ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 1.08/1.45 'tc_nat' ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 'class_Int_Onumber'( X )
% 1.08/1.45 ), =( 'c_HOL_Oinverse__class_Oinverse'(
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ),
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP(
% 1.08/1.45 'c_Power_Opower__class_Opower'( Y, X ), 'c_HOL_Otimes__class_Otimes'( Z,
% 1.08/1.45 T, 'tc_nat' ) ), hAPP( 'c_Power_Opower__class_Opower'( hAPP(
% 1.08/1.45 'c_Power_Opower__class_Opower'( Y, X ), Z ), X ), T ) ) ],
% 1.08/1.45 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( hAPP( 'c_Power_Opower__class_Opower'( Y, X
% 1.08/1.45 ), Z ), Y, X ), 'c_HOL_Otimes__class_Otimes'( Y, hAPP(
% 1.08/1.45 'c_Power_Opower__class_Opower'( Y, X ), Z ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.08/1.45 'c_HOL_Oinverse__class_Oinverse'( hAPP( 'c_Power_Opower__class_Opower'( Y
% 1.08/1.45 , X ), Z ), X ), hAPP( 'c_Power_Opower__class_Opower'(
% 1.08/1.45 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), Z ) ) ],
% 1.08/1.45 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =( hAPP(
% 1.08/1.45 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.08/1.45 X ), T ), 'c_HOL_Otimes__class_Otimes'( hAPP(
% 1.08/1.45 'c_Power_Opower__class_Opower'( Y, X ), T ), hAPP(
% 1.08/1.45 'c_Power_Opower__class_Opower'( Z, X ), T ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP(
% 1.08/1.45 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.08/1.45 X ), T ), 'c_HOL_Otimes__class_Otimes'( hAPP(
% 1.08/1.45 'c_Power_Opower__class_Opower'( Y, X ), T ), hAPP(
% 1.08/1.45 'c_Power_Opower__class_Opower'( Z, X ), T ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP(
% 1.08/1.45 'c_Power_Opower__class_Opower'( hAPP( 'c_Power_Opower__class_Opower'( Y,
% 1.08/1.45 X ), Z ), X ), T ), hAPP( 'c_Power_Opower__class_Opower'( Y, X ),
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( Z, T, 'tc_nat' ) ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.08/1.45 'c_Ring__and__Field_Odvd__class_Odvd'( hAPP(
% 1.08/1.45 'c_Power_Opower__class_Opower'( Y, X ), Z ), hAPP(
% 1.08/1.45 'c_Power_Opower__class_Opower'( T, X ), Z ), X ), ~(
% 1.08/1.45 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.08/1.45 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.08/1.45 ), X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.08/1.45 Y, X ), Z, X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.08/1.45 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.08/1.45 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.08/1.45 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.08/1.45 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Odivide'( Y, Z,
% 1.08/1.45 X ), X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.08/1.45 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, T, X )
% 1.08/1.45 , 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 1.08/1.45 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.08/1.45 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 1.08/1.45 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.08/1.45 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.08/1.45 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ],
% 1.08/1.45 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.08/1.45 Z, X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.08/1.45 Y, Z, X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.08/1.45 , T, X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.08/1.45 Y, T, X ), Z, X ) ) ],
% 1.08/1.45 [ ~( 'class_HOL_Oord'( X ) ), ~( 'class_OrderedGroup_Ocomm__monoid__add'(
% 1.08/1.45 Y ) ), =( 'c_Finite__Set_Osetsum'( Z,
% 1.08/1.45 'c_SetInterval_Oord__class_OatLeastLessThan'( T, U, X ), X, Y ),
% 1.08/1.45 'c_Finite__Set_Osetsum'( W, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.08/1.45 T, U, X ), X, Y ) ), 'c_HOL_Oord__class_Oless'(
% 1.08/1.45 'c_List_Osko__SetInterval__Xsetsum__ivl__cong__1__1'( T, U, Z, W, X, Y )
% 1.08/1.45 , U, X ) ],
% 1.08/1.45 [ ~( 'class_HOL_Oord'( X ) ), ~( 'class_OrderedGroup_Ocomm__monoid__add'(
% 1.08/1.45 Y ) ), =( 'c_Finite__Set_Osetsum'( Z,
% 1.08/1.45 'c_SetInterval_Oord__class_OatLeastLessThan'( T, U, X ), X, Y ),
% 1.08/1.45 'c_Finite__Set_Osetsum'( W, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.08/1.45 T, U, X ), X, Y ) ), 'c_lessequals'( T,
% 1.08/1.45 'c_List_Osko__SetInterval__Xsetsum__ivl__cong__1__1'( T, U, Z, W, X, Y )
% 1.08/1.45 , X ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( hAPP( 'c_Power_Opower__class_Opower'( Y, X ),
% 1.08/1.45 Z ), hAPP( 'c_Power_Opower__class_Opower'( Y, X ), T ), X ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( T, Z, 'tc_nat' ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( hAPP( 'c_Power_Opower__class_Opower'( Y, X ),
% 1.08/1.45 'c_Suc'( Z ) ), 'c_HOL_Oone__class_Oone'( X ), X ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.08/1.45 ,
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, hAPP(
% 1.08/1.45 'c_Power_Opower__class_Opower'( Y, X ), Z ), X ), hAPP(
% 1.08/1.45 'c_Power_Opower__class_Opower'( Y, X ), Z ), X ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.08/1.45 ,
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), hAPP( 'c_Power_Opower__class_Opower'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.08/1.45 Y, 'tc_nat' ) ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ]
% 1.08/1.45 ,
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_HOL_Oord__class_Oless'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), hAPP( 'c_Power_Opower__class_Opower'( Z
% 1.08/1.45 , X ), 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), X ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( 'c_lessequals'( hAPP(
% 1.08/1.45 'c_Power_Opower__class_Opower'( Z, X ),
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ),
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( hAPP(
% 1.08/1.45 'c_Power_Opower__class_Opower'( Y, X ), Z ), hAPP(
% 1.08/1.45 'c_Power_Opower__class_Opower'( T, X ), Z ) ) ), =( Y, T ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 1.08/1.45 'tc_nat' ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 1.08/1.45 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), hAPP(
% 1.08/1.45 'c_Power_Opower__class_Opower'( Y, X ), Z ), X ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 1.08/1.45 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 1.08/1.45 , Y, X ) ) ],
% 1.08/1.45 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.08/1.45 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.08/1.45 Z, 'c_Suc'( T ), 'tc_nat' ), 'tc_nat', X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.08/1.45 ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, 'tc_nat' ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.08/1.45 'c_HOL_Oone__class_Oone'( X ), X ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.08/1.45 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.08/1.45 X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ), X ) ]
% 1.08/1.45 ,
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.08/1.45 'c_HOL_Oinverse__class_Oinverse'( hAPP( 'c_Power_Opower__class_Opower'( Y
% 1.08/1.45 , X ), Z ), X ), hAPP( 'c_Power_Opower__class_Opower'(
% 1.08/1.45 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), Z ) ), =( Y,
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP(
% 1.08/1.45 'c_Power_Opower__class_Opower'( Y, X ), Z ), X ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.08/1.45 ,
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), hAPP( 'c_Power_Opower__class_Opower'( Y
% 1.08/1.45 , X ), Z ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 1.08/1.45 ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), hAPP( 'c_Power_Opower__class_Opower'( Y
% 1.08/1.45 , X ), Z ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 1.08/1.45 ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.08/1.45 'class_Power_Opower'( X ) ), =( hAPP( 'c_Power_Opower__class_Opower'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_Suc'( Y ) ),
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.08/1.45 hAPP( 'c_Power_Opower__class_Opower'( Y, X ), Z ), hAPP(
% 1.08/1.45 'c_Power_Opower__class_Opower'( T, X ), Z ), X ), ~( 'c_lessequals'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.08/1.45 ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( hAPP( 'c_Power_Opower__class_Opower'( Y, X ),
% 1.08/1.45 Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_lessequals'( Y,
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP(
% 1.08/1.45 'c_Power_Opower__class_Opower'( Y, X ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.08/1.45 X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.08/1.45 ), ~( =( hAPP( 'c_Power_Opower__class_Opower'( Y, X ),
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ),
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.08/1.45 ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y, X ),
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.08/1.45 , U, X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( U,
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 1.08/1.45 , U, X ), 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), =( U,
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.08/1.45 ), =( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.08/1.45 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.08/1.45 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.08/1.45 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.08/1.45 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( Y
% 1.08/1.45 , X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.08/1.45 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.08/1.45 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.08/1.45 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.08/1.45 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.08/1.45 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.08/1.45 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 1.08/1.45 , X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( Y,
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.08/1.45 ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( Z,
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.08/1.45 ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.08/1.45 ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.08/1.45 ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.08/1.45 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ), =( Z,
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.08/1.45 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.08/1.45 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.08/1.45 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 1.08/1.45 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.08/1.45 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 1.08/1.45 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.08/1.45 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.08/1.45 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.08/1.45 'c_Ring__and__Field_Odvd__class_Odvd'( Z, T, X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.08/1.45 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.08/1.45 , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.08/1.45 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.08/1.45 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.08/1.45 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~(
% 1.08/1.45 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.08/1.45 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.08/1.45 Y, 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), T, X ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.08/1.45 ), X ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T,
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.08/1.45 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.08/1.45 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.08/1.45 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T,
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.08/1.45 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.08/1.45 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.08/1.45 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'( Z,
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( T
% 1.08/1.45 , X ), X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.08/1.45 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.08/1.45 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.08/1.45 ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.08/1.45 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.08/1.45 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.08/1.45 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.08/1.45 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.08/1.45 ), X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.08/1.45 X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.08/1.45 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.08/1.45 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.08/1.45 ), X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.08/1.45 ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.08/1.45 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 1.08/1.45 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.08/1.45 Z, X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 1.08/1.45 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.08/1.45 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.08/1.45 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.08/1.45 'c_lessequals'( Z, Y, X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 1.08/1.45 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.08/1.45 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 1.08/1.45 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.08/1.45 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.08/1.45 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.08/1.45 'c_lessequals'( Z, Y, X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.08/1.45 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 1.08/1.45 X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.08/1.45 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 1.08/1.45 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.08/1.45 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.08/1.45 , T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.08/1.45 ), T, X ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.08/1.45 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.08/1.45 , T, X ), Z, X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.08/1.45 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.08/1.45 , T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.08/1.45 , T, X ), Z, X ) ) ],
% 1.08/1.45 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.08/1.45 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.08/1.45 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.08/1.45 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 1.08/1.45 Y, X ), X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.08/1.45 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 1.08/1.45 , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.08/1.45 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.08/1.45 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) )
% 1.08/1.45 , 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ],
% 1.08/1.45 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X ), 'tc_nat' ) )
% 1.08/1.45 , 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 1.08/1.45 [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.08/1.45 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.08/1.45 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.08/1.45 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.08/1.45 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 1.08/1.45 , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_lessequals'(
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ],
% 1.08/1.45 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 1.08/1.45 'tc_nat' ) ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat'
% 1.08/1.45 ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.08/1.45 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'(
% 1.08/1.45 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.08/1.45 X ) ) ],
% 1.08/1.45 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.08/1.45 , Y, X ) ) ],
% 1.08/1.45 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 1.08/1.45 , X ) ) ],
% 1.08/1.45 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 1.08/1.45 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 1.08/1.45 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.08/1.45 , Y, X ) ) ],
% 1.08/1.45 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.08/1.45 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.08/1.45 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.08/1.45 ,
% 1.08/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.08/1.45 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.08/1.45 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.08/1.45 , X ) ) ],
% 1.08/1.45 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.08/1.45 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.08/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 1.08/1.45 , X ) ) ],
% 1.08/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.08/1.45 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.08/1.45 , X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.08/1.45 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.08/1.45 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.08/1.45 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 1.08/1.45 ,
% 1.08/1.45 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ),
% 1.08/1.45 ~( 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.08/1.45 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'(
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ),
% 1.08/1.45 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( Y, hAPP( 'c_Power_Opower__class_Opower'( Y
% 1.08/1.45 , X ), Z ), X ), hAPP( 'c_Power_Opower__class_Opower'( Y, X ), 'c_Suc'( Z
% 1.08/1.45 ) ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( hAPP( 'c_Power_Opower__class_Opower'( Y, X
% 1.08/1.45 ), Z ), Y, X ), hAPP( 'c_Power_Opower__class_Opower'( Y, X ), 'c_Suc'( Z
% 1.08/1.45 ) ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 1.08/1.45 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 1.08/1.45 X ), X ) ) ],
% 1.08/1.45 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.08/1.45 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_Suc'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Y, 'tc_nat' ) ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.08/1.45 ) ), X, 'tc_nat' ) ) ],
% 1.08/1.45 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Otimes__class_Otimes'( Y, X,
% 1.08/1.45 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_Suc'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Y, 'tc_nat' ) ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.08/1.45 ) ), X, 'tc_nat' ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'(
% 1.08/1.45 Y, 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.08/1.45 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.08/1.45 Z, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'(
% 1.08/1.45 Z, X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.08/1.45 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.08/1.45 ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ), ~(
% 1.08/1.45 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.08/1.45 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.08/1.45 ), X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X )
% 1.08/1.45 , X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 1.08/1.45 ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.08/1.45 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.08/1.45 ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.08/1.45 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.08/1.45 ~( 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.08/1.45 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.08/1.45 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 1.08/1.45 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.08/1.45 X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.08/1.45 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.08/1.45 , X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 1.08/1.45 'c_Ring__and__Field_Odvd__class_Odvd'( Z, U, X ) ), ~(
% 1.08/1.45 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.08/1.45 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ]
% 1.08/1.45 ,
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.08/1.45 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~(
% 1.08/1.45 'c_lessequals'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ]
% 1.08/1.45 ,
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.08/1.45 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.08/1.45 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.08/1.45 , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.08/1.45 , X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T,
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.08/1.45 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.08/1.45 , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.08/1.45 ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.08/1.45 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 1.08/1.45 ,
% 1.08/1.45 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 1.08/1.45 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.08/1.45 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 1.08/1.45 , X ) ) ],
% 1.08/1.45 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.08/1.45 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 1.08/1.45 , X ) ) ],
% 1.08/1.45 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.08/1.45 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.08/1.45 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.08/1.45 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 1.08/1.45 ) ) ],
% 1.08/1.45 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.08/1.45 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 1.08/1.45 ) ) ],
% 1.08/1.45 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.08/1.45 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.08/1.45 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.08/1.45 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.08/1.45 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.08/1.45 ), X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.08/1.45 , X ), ~( 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.08/1.45 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.08/1.45 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.08/1.45 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.08/1.45 , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.08/1.45 , X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T,
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ), ~(
% 1.08/1.45 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.08/1.45 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.08/1.45 , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.08/1.45 ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ), ~( 'c_lessequals'(
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.08/1.45 ), X ), Z, X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.08/1.45 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.08/1.45 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 1.08/1.45 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.08/1.45 , Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.08/1.45 ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.08/1.45 , Y, X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.08/1.45 , T, X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( Z, T, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.08/1.45 , T, X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.08/1.45 , Y, X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.08/1.45 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.08/1.45 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.08/1.45 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 1.08/1.45 ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 1.08/1.45 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.08/1.45 ],
% 1.08/1.45 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.08/1.45 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.08/1.45 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.08/1.45 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.08/1.45 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.08/1.45 'c_lessequals'( Z, Y, X ) ],
% 1.08/1.45 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.08/1.45 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.08/1.45 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 1.08/1.45 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.08/1.45 ,
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.08/1.45 ,
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.08/1.45 ,
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.08/1.45 ,
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.08/1.45 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.08/1.45 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.08/1.45 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ]
% 1.08/1.45 ,
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 1.08/1.45 , X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.08/1.45 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.08/1.45 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.08/1.45 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ]
% 1.08/1.45 ,
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y
% 1.08/1.45 , X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'( Z,
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 1.08/1.45 ,
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.08/1.45 ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Oinverse__class_Odivide'(
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ), Z ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.08/1.45 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.08/1.45 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.08/1.45 'class_Int_Onumber'( X ) ), ~( =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.08/1.45 Z, X ) ) ), =( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.08/1.45 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.08/1.45 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.08/1.45 , 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.08/1.45 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.08/1.45 X ), 'c_HOL_Oinverse__class_Odivide'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.08/1.45 , X ) ) ), =( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.08/1.45 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.08/1.45 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.08/1.45 ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.08/1.45 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.08/1.45 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( 'c_HOL_Ozero__class_Ozero'(
% 1.08/1.45 X ), 'c_HOL_Oinverse__class_Odivide'( Z,
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.08/1.45 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.08/1.45 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.08/1.45 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.08/1.45 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.08/1.45 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.08/1.45 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.08/1.45 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ), =( Z,
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 1.08/1.45 ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.08/1.45 ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 1.08/1.45 ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.08/1.45 ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.08/1.45 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ), =( Z,
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.08/1.45 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ), =( Y,
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.08/1.45 [ =( hAPP( 'c_Power_Opower__class_Opower'( 'c_FFT__Mirabelle_Oroot'(
% 1.08/1.45 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ) ), 'tc_Complex_Ocomplex' )
% 1.08/1.45 , 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) ), hAPP(
% 1.08/1.45 'c_Power_Opower__class_Opower'( 'c_FFT__Mirabelle_Oroot'( Y ),
% 1.08/1.45 'tc_Complex_Ocomplex' ), Z ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ) ],
% 1.08/1.45 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.08/1.45 'c_Finite__Set_Osetsum'( 'c_COMBK'( 'c_HOL_Ozero__class_Ozero'( X ), X, Y
% 1.08/1.45 ), Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.08/1.45 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.08/1.45 'c_Finite__Set_Osetsum'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.08/1.45 'tc_bool' ) ), Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.08/1.45 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), ~( =( hAPP( Y,
% 1.08/1.45 'c_ATP__Linkup_Osko__Finite__Set__Xsetsum__0_H__1__1'( Z, Y, T, X ) ),
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( 'c_Finite__Set_Osetsum'( Y, Z, T
% 1.08/1.45 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.08/1.45 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.08/1.45 'c_Finite__Set_Osetsum'( Y, Z, T, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.08/1.45 , 'c_Finite__Set_Ofinite'( Z, T ) ],
% 1.08/1.45 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.08/1.45 'c_Finite__Set_Osetsum'( Y, Z, T, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.08/1.45 , 'c_Finite__Set_Ofinite'( Z, T ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( hAPP(
% 1.08/1.45 'c_Power_Opower__class_Opower'( Y, X ), Z ), hAPP(
% 1.08/1.45 'c_Power_Opower__class_Opower'( Y, X ), T ) ) ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), =( Z
% 1.08/1.45 , T ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.08/1.45 'c_HOL_Oone__class_Oone'( X ), hAPP( 'c_Power_Opower__class_Opower'( Y, X
% 1.08/1.45 ), Z ), X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) )
% 1.08/1.45 ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.08/1.45 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oone__class_Oone'( X ),
% 1.08/1.45 hAPP( 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), X )
% 1.08/1.45 , Y ), X ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.08/1.45 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.08/1.45 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.08/1.45 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Oinverse'( Y
% 1.08/1.45 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y
% 1.08/1.45 , X ) ) ],
% 1.08/1.45 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~( =( hAPP( Y,
% 1.08/1.45 'c_Series_Osko__Series__Xseries__zero__1__1'( Y, Z, X ) ),
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ), 'c_Series_Osums'( Y,
% 1.08/1.45 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ), 'tc_nat', X ), X )
% 1.08/1.45 ],
% 1.08/1.45 [ =( 'c_SetInterval_Oord__class_OatLeastLessThan'( X,
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ),
% 1.08/1.45 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ) ]
% 1.08/1.45 ,
% 1.08/1.45 [ =( 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ),
% 1.08/1.45 'c_SetInterval_Oord__class_OlessThan'( X, 'tc_nat' ) ) ],
% 1.08/1.45 [ ~( 'class_HOL_Oord'( X ) ), ~( 'class_OrderedGroup_Ocomm__monoid__add'(
% 1.08/1.45 Y ) ), ~( =( hAPP( Z,
% 1.08/1.45 'c_List_Osko__SetInterval__Xsetsum__ivl__cong__1__1'( T, U, Z, W, X, Y )
% 1.08/1.45 ), hAPP( W, 'c_List_Osko__SetInterval__Xsetsum__ivl__cong__1__1'( T, U,
% 1.08/1.45 Z, W, X, Y ) ) ) ), =( 'c_Finite__Set_Osetsum'( Z,
% 1.08/1.45 'c_SetInterval_Oord__class_OatLeastLessThan'( T, U, X ), X, Y ),
% 1.08/1.45 'c_Finite__Set_Osetsum'( W, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.08/1.45 T, U, X ), X, Y ) ) ],
% 1.08/1.45 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.08/1.45 'v_k', 'tc_nat' ) ],
% 1.08/1.45 [ 'c_HOL_Oord__class_Oless'( 'v_k', 'v_n', 'tc_nat' ) ],
% 1.08/1.45 [ =( 'c_Complex_Oexpi'( 'c_HOL_Ozero__class_Ozero'(
% 1.08/1.45 'tc_Complex_Ocomplex' ) ), 'c_HOL_Oone__class_Oone'(
% 1.08/1.45 'tc_Complex_Ocomplex' ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'(
% 1.08/1.45 hAPP( 'c_Power_Opower__class_Opower'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 1.08/1.45 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.08/1.45 ), =( hAPP( 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'(
% 1.08/1.45 X ), X ), 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ),
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_Int_Onumber__class_Onumber__of'(
% 1.08/1.45 Y, 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.08/1.45 'class_Power_Opower'( X ) ), =( hAPP( 'c_Power_Opower__class_Opower'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.08/1.45 Y, 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ) ), =(
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP(
% 1.08/1.45 'c_Power_Opower__class_Opower'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 1.08/1.45 'tc_nat' ) ), X ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.08/1.45 ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( =( hAPP(
% 1.08/1.45 'c_Power_Opower__class_Opower'( Z, X ),
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ),
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), hAPP( 'c_Power_Opower__class_Opower'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ), X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 1.08/1.45 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.08/1.45 ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 1.08/1.45 ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.08/1.45 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.08/1.45 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.08/1.45 ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.08/1.45 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.08/1.45 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.08/1.45 ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.08/1.45 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.08/1.45 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.08/1.45 X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.08/1.45 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.08/1.45 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ), ~( 'c_lessequals'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.08/1.45 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.08/1.45 'class_Power_Opower'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y
% 1.08/1.45 , 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( hAPP(
% 1.08/1.45 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.08/1.45 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ),
% 1.08/1.45 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.08/1.45 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), ~( =( hAPP( Y,
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.08/1.45 ) ), =( 'c_Finite__Set_Osetsum'( Y,
% 1.08/1.45 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_Suc'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z, 'tc_nat' ), 'tc_nat', X ),
% 1.08/1.45 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ), 'tc_nat', X ) ) ]
% 1.08/1.45 ,
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_Finite__Set_Osetsum'(
% 1.08/1.45 'c_Power_Opower__class_Opower'( Y, X ),
% 1.08/1.45 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.08/1.45 'tc_nat' ), Z, 'tc_nat' ), 'tc_nat', X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.08/1.45 'c_HOL_Ominus__class_Ominus'( hAPP( 'c_Power_Opower__class_Opower'( Y, X
% 1.08/1.45 ), Z ), 'c_HOL_Oone__class_Oone'( X ), X ), 'c_HOL_Ominus__class_Ominus'(
% 1.08/1.45 Y, 'c_HOL_Oone__class_Oone'( X ), X ), X ) ), =( Y,
% 1.08/1.45 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.08/1.45 [ =( 'c_Finite__Set_Osetsum'( 'c_Power_Opower__class_Opower'( hAPP(
% 1.08/1.45 'c_Power_Opower__class_Opower'( 'c_FFT__Mirabelle_Oroot'( X ),
% 1.08/1.45 'tc_Complex_Ocomplex' ), Y ), 'tc_Complex_Ocomplex' ),
% 1.08/1.45 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.08/1.45 'tc_nat' ), X, 'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex' ),
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ) ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ), ~(
% 1.08/1.45 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 1.08/1.45 'tc_nat' ) ) ],
% 1.08/1.45 [ ~( =( 'c_FFT__Mirabelle_Oroot'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.08/1.45 'tc_Complex_Ocomplex' ) ) ) ],
% 1.08/1.45 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.08/1.45 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.08/1.45 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.08/1.46 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP(
% 1.08/1.46 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.08/1.46 ), X ), T ), 'c_HOL_Oinverse__class_Odivide'( hAPP(
% 1.08/1.46 'c_Power_Opower__class_Opower'( Y, X ), T ), hAPP(
% 1.08/1.46 'c_Power_Opower__class_Opower'( Z, X ), T ), X ) ), =( Z,
% 1.08/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.08/1.46 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.08/1.46 'class_Power_Opower'( X ) ), =( hAPP( 'c_Power_Opower__class_Opower'(
% 1.08/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.08/1.46 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.08/1.46 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP(
% 1.08/1.46 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), X ), Y ),
% 1.08/1.46 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.08/1.46 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 1.08/1.46 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 1.08/1.46 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.08/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.08/1.46 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.08/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.08/1.46 ,
% 1.08/1.46 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.08/1.46 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y
% 1.08/1.46 ) ],
% 1.08/1.46 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 1.08/1.46 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.08/1.46 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, Z ) ],
% 1.08/1.46 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.08/1.46 'class_Power_Opower'( X ) ), =( hAPP( 'c_Power_Opower__class_Opower'(
% 1.08/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.08/1.46 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.08/1.46 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.08/1.46 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.08/1.46 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.08/1.46 ), =( hAPP( 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'(
% 1.08/1.46 X ), X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 1.08/1.46 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.08/1.46 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP(
% 1.08/1.46 'c_Power_Opower__class_Opower'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 1.08/1.46 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.08/1.46 [ ~( 'class_Power_Opower'( X ) ), =( hAPP(
% 1.08/1.46 'c_Power_Opower__class_Opower'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 1.08/1.46 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.08/1.46 [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~(
% 1.08/1.46 =( hAPP( 'c_Power_Opower__class_Opower'( Y, X ), Z ),
% 1.08/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.08/1.46 ) ) ],
% 1.08/1.46 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.08/1.46 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.08/1.46 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.08/1.46 ), ~( =( hAPP( 'c_Power_Opower__class_Opower'( Y, X ), Z ),
% 1.08/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.08/1.46 ) ) ],
% 1.08/1.46 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.08/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP(
% 1.08/1.46 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.08/1.46 ), X ), T ), 'c_HOL_Oinverse__class_Odivide'( hAPP(
% 1.08/1.46 'c_Power_Opower__class_Opower'( Y, X ), T ), hAPP(
% 1.08/1.46 'c_Power_Opower__class_Opower'( Z, X ), T ), X ) ) ],
% 1.08/1.46 [ =( hAPP( 'c_Power_Opower__class_Opower'( 'c_FFT__Mirabelle_Oroot'( X )
% 1.08/1.46 , 'tc_Complex_Ocomplex' ), X ), 'c_HOL_Oone__class_Oone'(
% 1.08/1.46 'tc_Complex_Ocomplex' ) ) ],
% 1.08/1.46 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 1.08/1.46 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.08/1.46 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.08/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.08/1.46 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), hAPP(
% 1.08/1.46 'c_Power_Opower__class_Opower'( Y, X ), Z ), X ), hAPP(
% 1.08/1.46 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'(
% 1.08/1.46 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ), Z ) ) ],
% 1.08/1.46 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.08/1.46 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.08/1.46 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.08/1.46 ), ~( =( hAPP( 'c_Power_Opower__class_Opower'( Y, X ),
% 1.08/1.46 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.08/1.46 ) ) ],
% 1.08/1.46 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.08/1.46 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 1.08/1.46 , Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.08/1.46 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.08/1.46 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.08/1.46 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.08/1.46 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.08/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.08/1.46 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.08/1.46 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.08/1.46 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.08/1.46 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.08/1.46 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.08/1.46 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.08/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.08/1.46 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.08/1.46 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.08/1.46 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.08/1.46 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.08/1.46 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.08/1.46 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.08/1.46 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.08/1.46 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.08/1.46 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.08/1.46 [ ~( =( 'c_Finite__Set_Osetsum'( 'c_Power_Opower__class_Opower'( hAPP(
% 1.08/1.46 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'(
% 1.08/1.46 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ),
% 1.08/1.46 'c_FFT__Mirabelle_Oroot'( 'v_n' ), 'tc_Complex_Ocomplex' ),
% 1.08/1.46 'tc_Complex_Ocomplex' ), 'v_k' ), 'tc_Complex_Ocomplex' ),
% 1.08/1.46 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.08/1.46 'tc_nat' ), 'v_n', 'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex' ),
% 1.08/1.46 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ) ) ) ],
% 1.08/1.46 [ 'class_Lattices_Oboolean__algebra'( 'tc_fun'( X, Y ) ), ~(
% 1.08/1.46 'class_Lattices_Oboolean__algebra'( Y ) ) ],
% 1.08/1.46 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_fun'( X, Y ) ), ~(
% 1.08/1.46 'class_Finite__Set_Ofinite_Ofinite'( Y ) ), ~(
% 1.08/1.46 'class_Finite__Set_Ofinite_Ofinite'( X ) ) ],
% 1.08/1.46 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 1.08/1.46 'class_Orderings_Opreorder'( Y ) ) ],
% 1.08/1.46 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 1.08/1.46 'class_Orderings_Oorder'( Y ) ) ],
% 1.08/1.46 [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Obot'(
% 1.08/1.46 Y ) ) ],
% 1.08/1.46 [ 'class_HOL_Oord'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Oord'( Y ) ) ]
% 1.08/1.46 ,
% 1.08/1.46 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 1.08/1.46 ],
% 1.08/1.46 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_nat' ) ]
% 1.08/1.46 ,
% 1.08/1.46 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 1.08/1.46 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' ) ],
% 1.08/1.46 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_nat' ) ],
% 1.08/1.46 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 1.08/1.46 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 1.08/1.46 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 1.08/1.46 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 1.08/1.46 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 1.08/1.46 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 1.08/1.46 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 1.08/1.46 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ],
% 1.08/1.46 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_nat' ) ],
% 1.08/1.46 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 1.08/1.46 [ 'class_Ring__and__Field_Omult__mono'( 'tc_nat' ) ],
% 1.08/1.46 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 1.08/1.46 [ 'class_Ring__and__Field_Odvd'( 'tc_nat' ) ],
% 1.08/1.46 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 1.08/1.46 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 1.08/1.46 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 1.08/1.46 [ 'class_Orderings_Obot'( 'tc_nat' ) ],
% 1.08/1.46 [ 'class_Power_Opower'( 'tc_nat' ) ],
% 1.08/1.46 [ 'class_Int_Onumber'( 'tc_nat' ) ],
% 1.08/1.46 [ 'class_HOL_Oord'( 'tc_nat' ) ],
% 1.08/1.46 [ 'class_Lattices_Oboolean__algebra'( 'tc_bool' ) ],
% 1.08/1.46 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_bool' ) ],
% 1.08/1.46 [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 1.08/1.46 [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 1.08/1.46 [ 'class_Orderings_Obot'( 'tc_bool' ) ],
% 1.08/1.46 [ 'class_HOL_Oord'( 'tc_bool' ) ],
% 1.08/1.46 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 1.08/1.46 'tc_Int_Oint' ) ],
% 1.08/1.46 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_Int_Oint' )
% 1.08/1.46 ],
% 1.08/1.46 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'( 'tc_Int_Oint' )
% 1.08/1.46 ],
% 1.08/1.46 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_Int_Oint' ) ]
% 1.08/1.46 ,
% 1.08/1.46 [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_Int_Oint' ) ]
% 1.08/1.46 ,
% 1.08/1.46 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_Int_Oint' ) ]
% 1.08/1.46 ,
% 1.08/1.46 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.08/1.46 [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.08/1.46 [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.08/1.46 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_Int_Oint' ) ],
% 1.08/1.46 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_Int_Oint' ) ],
% 1.08/1.46 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Int_Oint' ) ],
% 1.08/1.46 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_Int_Oint' ) ],
% 1.08/1.46 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Int_Oint' ) ],
% 1.08/1.46 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Int_Oint' ) ],
% 1.08/1.46 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Int_Oint' ) ],
% 1.08/1.46 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_Int_Oint' ) ],
% 1.08/1.46 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Int_Oint' ) ],
% 1.08/1.46 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Int_Oint' ) ],
% 1.08/1.46 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_Int_Oint' ) ],
% 1.08/1.46 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Int_Oint' ) ],
% 1.08/1.46 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_Int_Oint' ) ],
% 1.08/1.46 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_Int_Oint' ) ],
% 1.08/1.46 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Int_Oint' ) ],
% 1.08/1.46 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Int_Oint' ) ],
% 1.08/1.46 [ 'class_Ring__and__Field_Omult__mono'( 'tc_Int_Oint' ) ],
% 1.08/1.46 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Int_Oint' ) ],
% 1.08/1.46 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Int_Oint' ) ],
% 1.08/1.46 [ 'class_Ring__and__Field_Oring__1'( 'tc_Int_Oint' ) ],
% 1.08/1.46 [ 'class_Ring__and__Field_Oring'( 'tc_Int_Oint' ) ],
% 1.08/1.46 [ 'class_Ring__and__Field_Oidom'( 'tc_Int_Oint' ) ],
% 1.08/1.46 [ 'class_Ring__and__Field_Odvd'( 'tc_Int_Oint' ) ],
% 1.08/1.46 [ 'class_Orderings_Opreorder'( 'tc_Int_Oint' ) ],
% 1.08/1.46 [ 'class_Orderings_Olinorder'( 'tc_Int_Oint' ) ],
% 1.08/1.46 [ 'class_Orderings_Oorder'( 'tc_Int_Oint' ) ],
% 1.08/1.46 [ 'class_Int_Oring__char__0'( 'tc_Int_Oint' ) ],
% 1.08/1.46 [ 'class_Int_Onumber__ring'( 'tc_Int_Oint' ) ],
% 1.08/1.46 [ 'class_Power_Opower'( 'tc_Int_Oint' ) ],
% 1.08/1.46 [ 'class_Int_Onumber'( 'tc_Int_Oint' ) ],
% 1.08/1.46 [ 'class_HOL_Oord'( 'tc_Int_Oint' ) ],
% 1.08/1.46 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 1.08/1.46 'tc_Complex_Ocomplex' ) ],
% 1.08/1.46 [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 1.08/1.46 'tc_Complex_Ocomplex' ) ],
% 1.08/1.46 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Complex_Ocomplex' )
% 1.08/1.46 ],
% 1.08/1.46 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_Complex_Ocomplex' )
% 1.08/1.46 ],
% 1.08/1.46 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Complex_Ocomplex' ) ]
% 1.08/1.46 ,
% 1.08/1.46 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_Complex_Ocomplex' ) ]
% 1.08/1.46 ,
% 1.08/1.46 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Complex_Ocomplex' ) ]
% 1.08/1.46 ,
% 1.08/1.46 [ 'class_RealVector_Oreal__normed__vector'( 'tc_Complex_Ocomplex' ) ]
% 1.08/1.46 ,
% 1.08/1.46 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Complex_Ocomplex' ) ]
% 1.08/1.46 ,
% 1.08/1.46 [ 'class_Ring__and__Field_Odivision__ring'( 'tc_Complex_Ocomplex' ) ]
% 1.08/1.46 ,
% 1.08/1.46 [ 'class_RealVector_Oreal__normed__field'( 'tc_Complex_Ocomplex' ) ]
% 1.08/1.46 ,
% 1.08/1.46 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Complex_Ocomplex' ) ]
% 1.08/1.46 ,
% 1.08/1.46 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Complex_Ocomplex' ) ]
% 1.08/1.46 ,
% 1.08/1.46 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Complex_Ocomplex' ) ]
% 1.08/1.46 ,
% 1.08/1.46 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_Complex_Ocomplex' ) ],
% 1.08/1.46 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Complex_Ocomplex' ) ],
% 1.08/1.46 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Complex_Ocomplex' ) ],
% 1.08/1.46 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Complex_Ocomplex' ) ],
% 1.08/1.46 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Complex_Ocomplex' ) ],
% 1.08/1.46 [ 'class_Ring__and__Field_Oring__1'( 'tc_Complex_Ocomplex' ) ],
% 1.08/1.46 [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex' ) ],
% 1.08/1.46 [ 'class_Ring__and__Field_Oring'( 'tc_Complex_Ocomplex' ) ],
% 1.08/1.46 [ 'class_Ring__and__Field_Oidom'( 'tc_Complex_Ocomplex' ) ],
% 1.08/1.46 [ 'class_Ring__and__Field_Odvd'( 'tc_Complex_Ocomplex' ) ],
% 1.08/1.46 [ 'class_Int_Oring__char__0'( 'tc_Complex_Ocomplex' ) ],
% 1.08/1.46 [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ],
% 1.08/1.46 [ 'class_Power_Opower'( 'tc_Complex_Ocomplex' ) ],
% 1.08/1.46 [ 'class_Int_Onumber'( 'tc_Complex_Ocomplex' ) ],
% 1.08/1.46 [ 'c_fequal'( X, X, Y ) ],
% 1.08/1.46 [ =( X, Y ), ~( 'c_fequal'( X, Y, Z ) ) ]
% 1.08/1.46 ] .
% 1.08/1.46
% 1.08/1.46
% 1.08/1.46 percentage equality = 0.145894, percentage horn = 0.778086
% 1.08/1.46 This is a problem with some equality
% 1.08/1.46
% 1.08/1.46
% 1.08/1.46
% 1.08/1.46 Options Used:
% 1.08/1.46
% 1.08/1.46 useres = 1
% 1.08/1.46 useparamod = 1
% 1.08/1.46 useeqrefl = 1
% 1.08/1.46 useeqfact = 1
% 1.08/1.46 usefactor = 1
% 1.08/1.46 usesimpsplitting = 0
% 1.08/1.46 usesimpdemod = 5
% 1.08/1.46 usesimpres = 3
% 1.08/1.46
% 1.08/1.46 resimpinuse = 1000
% 1.08/1.46 resimpclauses = 20000
% 1.08/1.46 substype = eqrewr
% 1.08/1.46 backwardsubs = 1
% 1.08/1.46 selectoldest = 5
% 1.08/1.46
% 1.08/1.46 litorderings [0] = split
% 1.08/1.46 litorderings [1] = extend the termordering, first sorting on arguments
% 1.08/1.46
% 1.08/1.46 termordering = kbo
% 1.08/1.46
% 1.08/1.46 litapriori = 0
% 1.08/1.46 termapriori = 1
% 1.08/1.46 litaposteriori = 0
% 1.08/1.46 termaposteriori = 0
% 1.08/1.46 demodaposteriori = 0
% 1.08/1.46 ordereqreflfact = 0
% 1.08/1.46
% 1.08/1.46 litselect = negord
% 1.08/1.46
% 1.08/1.46 maxweight = 15
% 1.08/1.46 maxdepth = 30000
% 1.08/1.46 maxlength = 115
% 1.08/1.46 maxnrvars = 195
% 1.08/1.46 excuselevel = 1
% 1.08/1.46 increasemaxweight = 1
% 1.08/1.46
% 1.08/1.46 maxselected = 10000000
% 1.08/1.46 maxnrclauses = 10000000
% 1.08/1.46
% 1.08/1.46 showgenerated = 0
% 1.08/1.46 showkept = 0
% 1.08/1.46 showselected = 0
% 1.08/1.46 showdeleted = 0
% 1.08/1.46 showresimp = 1
% 1.08/1.46 showstatus = 2000
% 1.08/1.46
% 1.08/1.46 prologoutput = 1
% 1.08/1.46 nrgoals = 5000000
% 1.08/1.46 totalproof = 1
% 1.08/1.46
% 1.08/1.46 Symbols occurring in the translation:
% 1.08/1.46
% 1.08/1.46 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.08/1.46 . [1, 2] (w:1, o:119, a:1, s:1, b:0),
% 1.08/1.46 ! [4, 1] (w:0, o:56, a:1, s:1, b:0),
% 1.08/1.46 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.08/1.46 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.08/1.46 'class_Power_Opower' [40, 1] (w:1, o:75, a:1, s:1, b:0),
% 1.08/1.46 'c_Power_Opower__class_Opower' [42, 2] (w:1, o:144, a:1, s:1, b:0),
% 1.08/1.46 'c_Suc' [44, 1] (w:1, o:76, a:1, s:1, b:0),
% 1.08/1.46 hAPP [45, 2] (w:1, o:145, a:1, s:1, b:0),
% 1.08/1.46 'c_HOL_Otimes__class_Otimes' [46, 3] (w:1, o:152, a:1, s:1, b:0),
% 1.08/1.46 'class_OrderedGroup_Omonoid__mult' [47, 1] (w:1, o:62, a:1, s:1, b:0)
% 1.08/1.46 ,
% 1.08/1.46 'class_Ring__and__Field_Ocomm__semiring__1' [48, 1] (w:1, o:78, a:1
% 1.08/1.46 , s:1, b:0),
% 1.08/1.46 'class_Ring__and__Field_Oordered__field' [50, 1] (w:1, o:80, a:1, s:1
% 1.08/1.46 , b:0),
% 1.08/1.46 'class_Ring__and__Field_Odivision__by__zero' [51, 1] (w:1, o:81, a:1
% 3.45/3.80 , s:1, b:0),
% 3.45/3.80 'class_Int_Onumber' [52, 1] (w:1, o:83, a:1, s:1, b:0),
% 3.45/3.80 'c_Int_Onumber__class_Onumber__of' [55, 2] (w:1, o:148, a:1, s:1, b:0
% 3.45/3.80 ),
% 3.45/3.80 'c_HOL_Oinverse__class_Odivide' [56, 3] (w:1, o:153, a:1, s:1, b:0),
% 3.45/3.80
% 3.45/3.80 'c_HOL_Oord__class_Oless' [57, 3] (w:1, o:154, a:1, s:1, b:0),
% 3.45/3.80 'c_HOL_Ozero__class_Ozero' [58, 1] (w:1, o:84, a:1, s:1, b:0),
% 3.45/3.80 'class_Ring__and__Field_Odivision__ring' [59, 1] (w:1, o:85, a:1, s:1
% 3.45/3.80 , b:0),
% 3.45/3.80 'c_HOL_Oinverse__class_Oinverse' [60, 2] (w:1, o:146, a:1, s:1, b:0)
% 3.45/3.80 ,
% 3.45/3.80 'tc_nat' [61, 0] (w:1, o:20, a:1, s:1, b:0),
% 3.45/3.80 'class_OrderedGroup_Opordered__ab__group__add' [62, 1] (w:1, o:64, a:
% 3.45/3.80 1, s:1, b:0),
% 3.45/3.80 'c_HOL_Ouminus__class_Ouminus' [63, 2] (w:1, o:147, a:1, s:1, b:0),
% 3.45/3.80 'class_Ring__and__Field_Odvd' [64, 1] (w:1, o:86, a:1, s:1, b:0),
% 3.45/3.80 'c_Ring__and__Field_Odvd__class_Odvd' [66, 3] (w:1, o:155, a:1, s:1
% 3.45/3.80 , b:0),
% 3.45/3.80 'c_lessequals' [68, 3] (w:1, o:156, a:1, s:1, b:0),
% 3.45/3.80 'class_Ring__and__Field_Oordered__semiring__strict' [69, 1] (w:1, o:
% 3.45/3.80 88, a:1, s:1, b:0),
% 3.45/3.80 'class_Orderings_Obot' [71, 1] (w:1, o:65, a:1, s:1, b:0),
% 3.45/3.80 'c_Orderings_Obot__class_Obot' [72, 1] (w:1, o:89, a:1, s:1, b:0),
% 3.45/3.80 'class_Orderings_Oorder' [76, 1] (w:1, o:66, a:1, s:1, b:0),
% 3.45/3.80 'class_Orderings_Opreorder' [78, 1] (w:1, o:67, a:1, s:1, b:0),
% 3.45/3.80 'c_COMBK' [81, 3] (w:1, o:157, a:1, s:1, b:0),
% 3.45/3.80 'class_Orderings_Olinorder' [83, 1] (w:1, o:68, a:1, s:1, b:0),
% 3.45/3.80 'class_OrderedGroup_Oab__group__add' [84, 1] (w:1, o:69, a:1, s:1, b:
% 3.45/3.80 0),
% 3.45/3.80 'c_HOL_Ominus__class_Ominus' [85, 3] (w:1, o:158, a:1, s:1, b:0),
% 3.45/3.80 'class_Ring__and__Field_Oordered__ring__strict' [89, 1] (w:1, o:87
% 3.45/3.80 , a:1, s:1, b:0),
% 3.45/3.80 'class_Int_Oring__char__0' [90, 1] (w:1, o:90, a:1, s:1, b:0),
% 3.45/3.80 'class_Int_Onumber__ring' [91, 1] (w:1, o:91, a:1, s:1, b:0),
% 3.45/3.80 'c_HOL_Oone__class_Oone' [92, 1] (w:1, o:92, a:1, s:1, b:0),
% 3.45/3.80 'c_SetInterval_Oord__class_OlessThan' [93, 2] (w:1, o:149, a:1, s:1
% 3.45/3.80 , b:0),
% 3.45/3.80 'class_RealVector_Oreal__normed__algebra' [94, 1] (w:1, o:93, a:1, s:
% 3.45/3.80 1, b:0),
% 3.45/3.80 'tc_bool' [98, 0] (w:1, o:37, a:1, s:1, b:0),
% 3.45/3.80 'tc_fun' [99, 2] (w:1, o:150, a:1, s:1, b:0),
% 3.45/3.80 'c_SetInterval_Oord__class_OatLeastLessThan' [100, 3] (w:1, o:159, a:
% 3.45/3.80 1, s:1, b:0),
% 3.45/3.80 'class_Finite__Set_Ofinite_Ofinite' [101, 1] (w:1, o:94, a:1, s:1, b:
% 3.45/3.80 0),
% 3.45/3.80 'c_Finite__Set_Ofinite' [103, 2] (w:1, o:151, a:1, s:1, b:0),
% 3.45/3.80 'class_Ring__and__Field_Oordered__comm__semiring__strict' [104, 1]
% 3.45/3.80 (w:1, o:95, a:1, s:1, b:0),
% 3.45/3.80 'class_Ring__and__Field_Oidom' [107, 1] (w:1, o:96, a:1, s:1, b:0),
% 3.45/3.80 'class_Ring__and__Field_Oordered__semidom' [108, 1] (w:1, o:97, a:1
% 3.45/3.80 , s:1, b:0),
% 3.45/3.80 'class_OrderedGroup_Ogroup__add' [109, 1] (w:1, o:70, a:1, s:1, b:0)
% 3.45/3.80 ,
% 3.45/3.80 'class_Lattices_Oboolean__algebra' [110, 1] (w:1, o:98, a:1, s:1, b:0
% 3.45/3.80 ),
% 3.45/3.80 'class_OrderedGroup_Oordered__ab__group__add' [111, 1] (w:1, o:63, a:
% 3.45/3.80 1, s:1, b:0),
% 3.45/3.80 'class_Ring__and__Field_Oring' [112, 1] (w:1, o:99, a:1, s:1, b:0),
% 3.45/3.80 'class_Ring__and__Field_Oordered__semiring' [114, 1] (w:1, o:100, a:1
% 3.45/3.80 , s:1, b:0),
% 3.45/3.80 'class_Ring__and__Field_Ocomm__ring__1' [115, 1] (w:1, o:77, a:1, s:1
% 3.45/3.80 , b:0),
% 3.45/3.80 hBOOL [120, 1] (w:1, o:101, a:1, s:1, b:0),
% 3.45/3.80 'class_Ring__and__Field_Oordered__idom' [121, 1] (w:1, o:102, a:1, s:
% 3.45/3.80 1, b:0),
% 3.45/3.80 'class_OrderedGroup_Oab__semigroup__idem__mult' [122, 1] (w:1, o:71
% 3.45/3.80 , a:1, s:1, b:0),
% 3.45/3.80 'class_RealVector_Oreal__normed__field' [123, 1] (w:1, o:103, a:1, s:
% 3.45/3.80 1, b:0),
% 3.45/3.80 'class_Ring__and__Field_Omult__mono1' [125, 1] (w:1, o:104, a:1, s:1
% 3.45/3.80 , b:0),
% 3.45/3.80 'class_Ring__and__Field_Omult__mono' [126, 1] (w:1, o:105, a:1, s:1
% 3.45/3.80 , b:0),
% 3.45/3.80 'class_Ring__and__Field_Opordered__ring' [127, 1] (w:1, o:106, a:1
% 3.45/3.80 , s:1, b:0),
% 3.45/3.80 'class_Ring__and__Field_Oring__no__zero__divisors' [128, 1] (w:1, o:
% 3.45/3.80 107, a:1, s:1, b:0),
% 3.45/3.80 'class_Ring__and__Field_Omult__zero' [129, 1] (w:1, o:108, a:1, s:1
% 3.45/3.80 , b:0),
% 3.45/3.80 'class_Ring__and__Field_Ono__zero__divisors' [130, 1] (w:1, o:79, a:1
% 3.45/3.80 , s:1, b:0),
% 23.46/23.86 'class_Ring__and__Field_Ofield' [131, 1] (w:1, o:109, a:1, s:1, b:0)
% 23.46/23.86 ,
% 23.46/23.86 'class_Ring__and__Field_Opordered__cancel__semiring' [132, 1] (w:1
% 23.46/23.86 , o:110, a:1, s:1, b:0),
% 23.46/23.86 'class_OrderedGroup_Oab__semigroup__mult' [133, 1] (w:1, o:72, a:1
% 23.46/23.86 , s:1, b:0),
% 23.46/23.86 'class_Ring__and__Field_Opordered__semiring' [134, 1] (w:1, o:111, a:
% 23.46/23.86 1, s:1, b:0),
% 23.46/23.86 'class_OrderedGroup_Olordered__ab__group__add' [135, 1] (w:1, o:61
% 23.46/23.86 , a:1, s:1, b:0),
% 23.46/23.86 'class_OrderedGroup_Ocomm__monoid__mult' [136, 1] (w:1, o:73, a:1, s:
% 23.46/23.86 1, b:0),
% 23.46/23.86 'class_Ring__and__Field_Oring__1' [139, 1] (w:1, o:112, a:1, s:1, b:0
% 23.46/23.86 ),
% 23.46/23.86 'class_HOL_Oord' [141, 1] (w:1, o:82, a:1, s:1, b:0),
% 23.46/23.86 'class_OrderedGroup_Ocomm__monoid__add' [142, 1] (w:1, o:74, a:1, s:1
% 23.46/23.86 , b:0),
% 23.46/23.86 'c_Finite__Set_Osetsum' [144, 4] (w:1, o:163, a:1, s:1, b:0),
% 23.46/23.86 'c_List_Osko__SetInterval__Xsetsum__ivl__cong__1__1' [146, 6] (w:1
% 23.46/23.86 , o:165, a:1, s:1, b:0),
% 23.46/23.86 'class_Ring__and__Field_Osemiring__0' [147, 1] (w:1, o:114, a:1, s:1
% 23.46/23.86 , b:0),
% 23.46/23.86 'class_Ring__and__Field_Ozero__neq__one' [148, 1] (w:1, o:115, a:1
% 23.46/23.86 , s:1, b:0),
% 23.46/23.86 'c_FFT__Mirabelle_Oroot' [150, 1] (w:1, o:116, a:1, s:1, b:0),
% 23.46/23.86 'tc_Complex_Ocomplex' [151, 0] (w:1, o:48, a:1, s:1, b:0),
% 23.46/23.86 'c_ATP__Linkup_Osko__Finite__Set__Xsetsum__0_H__1__1' [152, 4] (w:1
% 23.46/23.86 , o:164, a:1, s:1, b:0),
% 23.46/23.86 'class_RealVector_Oreal__normed__vector' [153, 1] (w:1, o:117, a:1
% 23.46/23.86 , s:1, b:0),
% 23.46/23.86 'c_Series_Osko__Series__Xseries__zero__1__1' [154, 3] (w:1, o:160, a:
% 23.46/23.86 1, s:1, b:0),
% 23.46/23.86 'c_Series_Osums' [155, 3] (w:1, o:161, a:1, s:1, b:0),
% 23.46/23.86 'v_k' [156, 0] (w:1, o:49, a:1, s:1, b:0),
% 23.46/23.86 'v_n' [157, 0] (w:1, o:50, a:1, s:1, b:0),
% 23.46/23.86 'c_Complex_Oexpi' [158, 1] (w:1, o:118, a:1, s:1, b:0),
% 23.46/23.86 'class_Ring__and__Field_Oring__1__no__zero__divisors' [159, 1] (w:1
% 23.46/23.86 , o:113, a:1, s:1, b:0),
% 23.46/23.86 'tc_Int_Oint' [162, 0] (w:1, o:53, a:1, s:1, b:0),
% 23.46/23.86 'c_fequal' [163, 3] (w:1, o:162, a:1, s:1, b:0).
% 23.46/23.86
% 23.46/23.86
% 23.46/23.86 Starting Search:
% 23.46/23.86
% 23.46/23.86 Resimplifying inuse:
% 23.46/23.86 Done
% 23.46/23.86
% 23.46/23.86
% 23.46/23.86 Intermediate Status:
% 23.46/23.86 Generated: 4862
% 23.46/23.86 Kept: 2500
% 23.46/23.86 Inuse: 213
% 23.46/23.86 Deleted: 14
% 23.46/23.86 Deletedinuse: 0
% 23.46/23.86
% 23.46/23.86 Resimplifying inuse:
% 23.46/23.86 Done
% 23.46/23.86
% 23.46/23.86 Resimplifying inuse:
% 23.46/23.86 Done
% 23.46/23.86
% 23.46/23.86
% 23.46/23.86 Intermediate Status:
% 23.46/23.86 Generated: 11224
% 23.46/23.86 Kept: 4502
% 23.46/23.86 Inuse: 294
% 23.46/23.86 Deleted: 16
% 23.46/23.86 Deletedinuse: 0
% 23.46/23.86
% 23.46/23.86 Resimplifying inuse:
% 23.46/23.86 Done
% 23.46/23.86
% 23.46/23.86 Resimplifying inuse:
% 23.46/23.86 Done
% 23.46/23.86
% 23.46/23.86
% 23.46/23.86 Intermediate Status:
% 23.46/23.86 Generated: 18003
% 23.46/23.86 Kept: 6697
% 23.46/23.86 Inuse: 407
% 23.46/23.86 Deleted: 24
% 23.46/23.86 Deletedinuse: 0
% 23.46/23.86
% 23.46/23.86 Resimplifying inuse:
% 23.46/23.86 Done
% 23.46/23.86
% 23.46/23.86 Resimplifying inuse:
% 23.46/23.86 Done
% 23.46/23.86
% 23.46/23.86
% 23.46/23.86 Intermediate Status:
% 23.46/23.86 Generated: 23820
% 23.46/23.86 Kept: 8699
% 23.46/23.86 Inuse: 494
% 23.46/23.86 Deleted: 27
% 23.46/23.86 Deletedinuse: 0
% 23.46/23.86
% 23.46/23.86 Resimplifying inuse:
% 23.46/23.86 Done
% 23.46/23.86
% 23.46/23.86
% 23.46/23.86 Intermediate Status:
% 23.46/23.86 Generated: 32885
% 23.46/23.86 Kept: 10780
% 23.46/23.86 Inuse: 533
% 23.46/23.86 Deleted: 28
% 23.46/23.86 Deletedinuse: 0
% 23.46/23.86
% 23.46/23.86 Resimplifying inuse:
% 23.46/23.86 Done
% 23.46/23.86
% 23.46/23.86 Resimplifying inuse:
% 23.46/23.86 Done
% 23.46/23.86
% 23.46/23.86
% 23.46/23.86 Intermediate Status:
% 23.46/23.86 Generated: 45491
% 23.46/23.86 Kept: 13451
% 23.46/23.86 Inuse: 615
% 23.46/23.86 Deleted: 31
% 23.46/23.86 Deletedinuse: 0
% 23.46/23.86
% 23.46/23.86 Resimplifying inuse:
% 23.46/23.86 Done
% 23.46/23.86
% 23.46/23.86 Resimplifying inuse:
% 23.46/23.86 Done
% 23.46/23.86
% 23.46/23.86
% 23.46/23.86 Intermediate Status:
% 23.46/23.86 Generated: 57335
% 23.46/23.86 Kept: 15509
% 23.46/23.86 Inuse: 630
% 23.46/23.86 Deleted: 31
% 23.46/23.86 Deletedinuse: 0
% 23.46/23.86
% 23.46/23.86 Resimplifying inuse:
% 23.46/23.86 Done
% 23.46/23.86
% 23.46/23.86
% 23.46/23.86 Intermediate Status:
% 23.46/23.86 Generated: 68676
% 23.46/23.86 Kept: 17523
% 23.46/23.86 Inuse: 653
% 23.46/23.86 Deleted: 31
% 23.46/23.86 Deletedinuse: 0
% 23.46/23.86
% 23.46/23.86 Resimplifying inuse:
% 23.46/23.86 Done
% 23.46/23.86
% 23.46/23.86 Resimplifying inuse:
% 23.46/23.86 Done
% 23.46/23.86
% 23.46/23.86
% 23.46/23.86 Intermediate Status:
% 23.46/23.86 Generated: 81201
% 23.46/23.86 Kept: 19555
% 23.46/23.86 Inuse: 741
% 23.46/23.86 Deleted: 40
% 23.46/23.86 Deletedinuse: 0
% 23.46/23.86
% 23.46/23.86 Resimplifying inuse:
% 23.46/23.86 Done
% 23.46/23.86
% 23.46/23.86 Resimplifying inuse:
% 23.46/23.86 Done
% 23.46/23.86
% 23.46/23.86 Resimplifying clauses:
% 23.46/23.86 Done
% 23.46/23.86
% 23.46/23.86
% 23.46/23.86 Intermediate Status:
% 23.46/23.86 Generated: 89115
% 23.46/23.86 Kept: 21586
% 23.46/23.86 Inuse: 762
% 23.46/23.86 Deleted: 625
% 23.46/23.86 Deletedinuse: 0
% 23.46/23.86
% 23.46/23.86 Resimplifying inuse:
% 23.46/23.86 Done
% 23.46/23.86
% 23.46/23.86
% 23.46/23.86 Intermediate Status:
% 23.46/23.86 Generated: 102947
% 23.46/23.86 Kept: 23841
% 23.46/23.86 Inuse: 781
% 23.46/23.86 Deleted: 629
% 23.46/23.86 Deletedinuse: 4
% 23.46/23.86
% 23.46/23.86 Resimplifying inuse:
% 23.46/23.86 Done
% 23.46/23.86
% 23.46/23.86 Resimplifying inuse:
% 23.46/23.86 Done
% 23.46/23.86
% 23.46/23.86
% 23.46/23.86 Intermediate Status:
% 23.46/23.86 Generated: 111618
% 23.46/23.86 Kept: 25950
% 23.46/23.86 Inuse: 811
% 23.46/23.86 Deleted: 629
% 23.46/23.86 Deletedinuse: 4
% 23.46/23.86
% 23.46/23.86 Resimplifying inuse:
% 23.46/23.86 Done
% 23.46/23.86
% 23.46/23.86 Resimplifying inuse:
% 23.46/23.86 Done
% 23.46/23.86
% 23.46/23.86
% 23.46/23.86 Intermediate Status:
% 23.46/23.86 Generated: 127770
% 23.46/23.86 Kept: 28472
% 23.46/23.86 Inuse: 841
% 23.46/23.86 Deleted: 629
% 64.41/64.75 Deletedinuse: 4
% 64.41/64.75
% 64.41/64.75 Resimplifying inuse:
% 64.41/64.75 Done
% 64.41/64.75
% 64.41/64.75 Resimplifying inuse:
% 64.41/64.75 Done
% 64.41/64.75
% 64.41/64.75
% 64.41/64.75 Intermediate Status:
% 64.41/64.75 Generated: 134748
% 64.41/64.75 Kept: 30485
% 64.41/64.75 Inuse: 865
% 64.41/64.75 Deleted: 629
% 64.41/64.75 Deletedinuse: 4
% 64.41/64.75
% 64.41/64.75 Resimplifying inuse:
% 64.41/64.75 Done
% 64.41/64.75
% 64.41/64.75 Resimplifying inuse:
% 64.41/64.75 Done
% 64.41/64.75
% 64.41/64.75
% 64.41/64.75 Intermediate Status:
% 64.41/64.75 Generated: 147849
% 64.41/64.75 Kept: 34045
% 64.41/64.75 Inuse: 901
% 64.41/64.75 Deleted: 629
% 64.41/64.75 Deletedinuse: 4
% 64.41/64.75
% 64.41/64.75 Resimplifying inuse:
% 64.41/64.75 Done
% 64.41/64.75
% 64.41/64.75 Resimplifying inuse:
% 64.41/64.75 Done
% 64.41/64.75
% 64.41/64.75
% 64.41/64.75 Intermediate Status:
% 64.41/64.75 Generated: 177936
% 64.41/64.75 Kept: 36866
% 64.41/64.75 Inuse: 916
% 64.41/64.75 Deleted: 629
% 64.41/64.75 Deletedinuse: 4
% 64.41/64.75
% 64.41/64.75 Resimplifying inuse:
% 64.41/64.75 Done
% 64.41/64.75
% 64.41/64.75 Resimplifying inuse:
% 64.41/64.75 Done
% 64.41/64.75
% 64.41/64.75
% 64.41/64.75 Intermediate Status:
% 64.41/64.75 Generated: 191937
% 64.41/64.75 Kept: 39507
% 64.41/64.75 Inuse: 926
% 64.41/64.75 Deleted: 629
% 64.41/64.75 Deletedinuse: 4
% 64.41/64.75
% 64.41/64.75 Resimplifying inuse:
% 64.41/64.75 Done
% 64.41/64.75
% 64.41/64.75 Resimplifying inuse:
% 64.41/64.75 Done
% 64.41/64.75
% 64.41/64.75
% 64.41/64.75 Intermediate Status:
% 64.41/64.75 Generated: 214450
% 64.41/64.75 Kept: 43563
% 64.41/64.75 Inuse: 956
% 64.41/64.75 Deleted: 629
% 64.41/64.75 Deletedinuse: 4
% 64.41/64.75
% 64.41/64.75 Resimplifying inuse:
% 64.41/64.75 Done
% 64.41/64.75
% 64.41/64.75 Resimplifying clauses:
% 64.41/64.75 Done
% 64.41/64.75
% 64.41/64.75
% 64.41/64.75 Intermediate Status:
% 64.41/64.75 Generated: 220972
% 64.41/64.75 Kept: 45887
% 64.41/64.75 Inuse: 961
% 64.41/64.75 Deleted: 910
% 64.41/64.75 Deletedinuse: 4
% 64.41/64.75
% 64.41/64.75 Resimplifying inuse:
% 64.41/64.75 Done
% 64.41/64.75
% 64.41/64.75 Resimplifying inuse:
% 64.41/64.75 Done
% 64.41/64.75
% 64.41/64.75
% 64.41/64.75 Intermediate Status:
% 64.41/64.75 Generated: 232703
% 64.41/64.75 Kept: 47973
% 64.41/64.75 Inuse: 981
% 64.41/64.75 Deleted: 910
% 64.41/64.75 Deletedinuse: 4
% 64.41/64.75
% 64.41/64.75 Resimplifying inuse:
% 64.41/64.75 Done
% 64.41/64.75
% 64.41/64.75
% 64.41/64.75 Intermediate Status:
% 64.41/64.75 Generated: 247419
% 64.41/64.75 Kept: 50497
% 64.41/64.75 Inuse: 996
% 64.41/64.75 Deleted: 910
% 64.41/64.75 Deletedinuse: 4
% 64.41/64.75
% 64.41/64.75 Resimplifying inuse:
% 64.41/64.75 Done
% 64.41/64.75
% 64.41/64.75 Resimplifying inuse:
% 64.41/64.75 Done
% 64.41/64.75
% 64.41/64.75
% 64.41/64.75 Intermediate Status:
% 64.41/64.75 Generated: 262651
% 64.41/64.75 Kept: 52540
% 64.41/64.75 Inuse: 1021
% 64.41/64.75 Deleted: 910
% 64.41/64.75 Deletedinuse: 4
% 64.41/64.75
% 64.41/64.75 Resimplifying inuse:
% 64.41/64.75 Done
% 64.41/64.75
% 64.41/64.75 Resimplifying inuse:
% 64.41/64.75 Done
% 64.41/64.75
% 64.41/64.75
% 64.41/64.75 Intermediate Status:
% 64.41/64.75 Generated: 278564
% 64.41/64.75 Kept: 54872
% 64.41/64.75 Inuse: 1036
% 64.41/64.75 Deleted: 910
% 64.41/64.75 Deletedinuse: 4
% 64.41/64.75
% 64.41/64.75 Resimplifying inuse:
% 64.41/64.75 Done
% 64.41/64.75
% 64.41/64.75 Resimplifying inuse:
% 64.41/64.75 Done
% 64.41/64.75
% 64.41/64.75
% 64.41/64.75 Intermediate Status:
% 64.41/64.75 Generated: 291942
% 64.41/64.75 Kept: 57210
% 64.41/64.75 Inuse: 1066
% 64.41/64.75 Deleted: 910
% 64.41/64.75 Deletedinuse: 4
% 64.41/64.75
% 64.41/64.75 Resimplifying inuse:
% 64.41/64.75 Done
% 64.41/64.75
% 64.41/64.75 Resimplifying inuse:
% 64.41/64.75 Done
% 64.41/64.75
% 64.41/64.75
% 64.41/64.75 Intermediate Status:
% 64.41/64.75 Generated: 303040
% 64.41/64.75 Kept: 59317
% 64.41/64.75 Inuse: 1096
% 64.41/64.75 Deleted: 910
% 64.41/64.75 Deletedinuse: 4
% 64.41/64.75
% 64.41/64.75 Resimplifying inuse:
% 64.41/64.75 Done
% 64.41/64.75
% 64.41/64.75
% 64.41/64.75 Intermediate Status:
% 64.41/64.75 Generated: 329413
% 64.41/64.75 Kept: 62511
% 64.41/64.75 Inuse: 1121
% 64.41/64.75 Deleted: 910
% 64.41/64.75 Deletedinuse: 4
% 64.41/64.75
% 64.41/64.75 Resimplifying inuse:
% 64.41/64.75 Done
% 64.41/64.75
% 64.41/64.75 Resimplifying inuse:
% 64.41/64.75 Done
% 64.41/64.75
% 64.41/64.75 Resimplifying clauses:
% 64.41/64.75 Done
% 64.41/64.75
% 64.41/64.75
% 64.41/64.75 Intermediate Status:
% 64.41/64.75 Generated: 340565
% 64.41/64.75 Kept: 64697
% 64.41/64.75 Inuse: 1151
% 64.41/64.75 Deleted: 1088
% 64.41/64.75 Deletedinuse: 4
% 64.41/64.75
% 64.41/64.75 Resimplifying inuse:
% 64.41/64.75 Done
% 64.41/64.75
% 64.41/64.75 Resimplifying inuse:
% 64.41/64.75 Done
% 64.41/64.75
% 64.41/64.75
% 64.41/64.75 Intermediate Status:
% 64.41/64.75 Generated: 352168
% 64.41/64.75 Kept: 66733
% 64.41/64.75 Inuse: 1176
% 64.41/64.75 Deleted: 1088
% 64.41/64.75 Deletedinuse: 4
% 64.41/64.75
% 64.41/64.75 Resimplifying inuse:
% 64.41/64.75 Done
% 64.41/64.75
% 64.41/64.75
% 64.41/64.75 Intermediate Status:
% 64.41/64.75 Generated: 364994
% 64.41/64.75 Kept: 69080
% 64.41/64.75 Inuse: 1191
% 64.41/64.75 Deleted: 1088
% 64.41/64.75 Deletedinuse: 4
% 64.41/64.75
% 64.41/64.75 Resimplifying inuse:
% 64.41/64.75 Done
% 64.41/64.75
% 64.41/64.75 Resimplifying inuse:
% 64.41/64.75 Done
% 64.41/64.75
% 64.41/64.75
% 64.41/64.75 Intermediate Status:
% 64.41/64.75 Generated: 379660
% 64.41/64.75 Kept: 72526
% 64.41/64.75 Inuse: 1204
% 64.41/64.75 Deleted: 1088
% 64.41/64.75 Deletedinuse: 4
% 64.41/64.75
% 64.41/64.75 Resimplifying inuse:
% 64.41/64.75 Done
% 64.41/64.75
% 64.41/64.75 Resimplifying inuse:
% 64.41/64.75 Done
% 64.41/64.75
% 64.41/64.75
% 64.41/64.75 Intermediate Status:
% 64.41/64.75 Generated: 393431
% 64.41/64.75 Kept: 74537
% 64.41/64.75 Inuse: 1233
% 64.41/64.75 Deleted: 1088
% 64.41/64.75 Deletedinuse: 4
% 64.41/64.75
% 64.41/64.75 Resimplifying inuse:
% 64.41/64.75 Done
% 64.41/64.75
% 64.41/64.75 Resimplifying inuse:
% 64.41/64.75 Done
% 64.41/64.75
% 64.41/64.75
% 64.41/64.75 Intermediate Status:
% 64.41/64.75 Generated: 407539
% 64.41/64.75 Kept: 76608
% 64.41/64.75 Inuse: 1266
% 64.41/64.75 Deleted: 1088
% 64.41/64.75 Deletedinuse: 4
% 64.41/64.75
% 64.41/64.75 Resimplifying inuse:
% 64.41/64.75 Done
% 64.41/64.75
% 64.41/64.75 Resimplifying inuse:
% 64.41/64.75 Done
% 64.41/64.75
% 64.41/64.75
% 64.41/64.75 Intermediate Status:
% 64.41/64.75 Generated: 422750
% 64.41/64.75 Kept: 78627
% 64.41/64.75 Inuse: 1301
% 64.41/64.75 Deleted: 1092
% 64.41/64.75 Deletedinuse: 7
% 64.41/64.75
% 64.41/64.75 Resimplifying inuse:
% 64.41/64.75 Done
% 64.41/64.75
% 64.41/64.75 Resimplifying inuse:
% 64.41/64.75 Done
% 64.41/64.75
% 64.41/64.75
% 64.41/64.75 Intermediate Status:
% 64.41/64.75 Generated: 441124
% 64.41/64.75 Kept: 80923
% 64.41/64.75 Inuse: 1329
% 64.41/64.75 Deleted: 1093
% 64.41/64.75 Deletedinuse: 7
% 64.41/64.75
% 64.41/64.75 Resimplifying inuse:
% 64.41/64.75 Done
% 64.41/64.75
% 64.41/64.75 Resimplifying inuse:
% 64.41/64.75 Done
% 64.41/64.75
% 64.41/64.75
% 64.41/64.75 Intermediate Status:
% 64.41/64.75 Generated: 451992
% 64.41/64.75 Kept: 82947
% 64.41/64.75 Inuse: 1352
% 64.41/64.75 Deleted: 1112
% 64.41/64.75 Deletedinuse: 24
% 64.41/64.75
% 64.41/64.75 Resimplifying inuse:
% 64.41/64.75 Done
% 64.41/64.75
% 64.41/64.75 Resimplifying inuse:
% 64.41/64.75 Done
% 64.41/64.75
% 64.41/64.75 Resimplifying clauses:
% 64.41/64.75 Done
% 64.41/64.75
% 64.41/64.75
% 64.41/64.75 Intermediate Status:
% 64.41/64.75 Generated: 479168
% 64.41/64.75 Kept: 86806
% 64.41/64.75 Inuse: 1357
% 64.41/64.75 Deleted: 2291
% 64.41/64.75 Deletedinuse: 25
% 64.41/64.75
% 64.41/64.75 Resimplifying inuse:
% 64.41/64.75 Done
% 64.41/64.75
% 64.41/64.75 Resimplifying inuse:
% 64.41/64.75 Done
% 64.41/64.75
% 64.41/64.75
% 64.41/64.75 Intermediate Status:
% 64.41/64.75 Generated: 500243
% 64.41/64.75 Kept: 88810
% 64.41/64.75 Inuse: 1394
% 64.41/64.75 Deleted: 2299
% 64.41/64.75 Deletedinuse: 31
% 123.05/123.47
% 123.05/123.47 Resimplifying inuse:
% 123.05/123.47 Done
% 123.05/123.47
% 123.05/123.47
% 123.05/123.47 Intermediate Status:
% 123.05/123.47 Generated: 526109
% 123.05/123.47 Kept: 91557
% 123.05/123.47 Inuse: 1405
% 123.05/123.47 Deleted: 2299
% 123.05/123.47 Deletedinuse: 31
% 123.05/123.47
% 123.05/123.47 Resimplifying inuse:
% 123.05/123.47 Done
% 123.05/123.47
% 123.05/123.47 Resimplifying inuse:
% 123.05/123.47 Done
% 123.05/123.47
% 123.05/123.47
% 123.05/123.47 Intermediate Status:
% 123.05/123.47 Generated: 537813
% 123.05/123.47 Kept: 93833
% 123.05/123.47 Inuse: 1425
% 123.05/123.47 Deleted: 2299
% 123.05/123.47 Deletedinuse: 31
% 123.05/123.47
% 123.05/123.47 Resimplifying inuse:
% 123.05/123.47 Done
% 123.05/123.47
% 123.05/123.47 Resimplifying inuse:
% 123.05/123.47 Done
% 123.05/123.47
% 123.05/123.47
% 123.05/123.47 Intermediate Status:
% 123.05/123.47 Generated: 554524
% 123.05/123.47 Kept: 96171
% 123.05/123.47 Inuse: 1445
% 123.05/123.47 Deleted: 2299
% 123.05/123.47 Deletedinuse: 31
% 123.05/123.47
% 123.05/123.47 Resimplifying inuse:
% 123.05/123.47 Done
% 123.05/123.47
% 123.05/123.47 Resimplifying inuse:
% 123.05/123.47 Done
% 123.05/123.47
% 123.05/123.47
% 123.05/123.47 Intermediate Status:
% 123.05/123.47 Generated: 565459
% 123.05/123.47 Kept: 98270
% 123.05/123.47 Inuse: 1465
% 123.05/123.47 Deleted: 2299
% 123.05/123.47 Deletedinuse: 31
% 123.05/123.47
% 123.05/123.47 Resimplifying inuse:
% 123.05/123.47 Done
% 123.05/123.47
% 123.05/123.47 Resimplifying inuse:
% 123.05/123.47 Done
% 123.05/123.47
% 123.05/123.47
% 123.05/123.47 Intermediate Status:
% 123.05/123.47 Generated: 578954
% 123.05/123.47 Kept: 100482
% 123.05/123.47 Inuse: 1495
% 123.05/123.47 Deleted: 2299
% 123.05/123.47 Deletedinuse: 31
% 123.05/123.47
% 123.05/123.47 Resimplifying inuse:
% 123.05/123.47 Done
% 123.05/123.47
% 123.05/123.47 Resimplifying inuse:
% 123.05/123.47 Done
% 123.05/123.47
% 123.05/123.47
% 123.05/123.47 Intermediate Status:
% 123.05/123.47 Generated: 589391
% 123.05/123.47 Kept: 102549
% 123.05/123.47 Inuse: 1518
% 123.05/123.47 Deleted: 2299
% 123.05/123.47 Deletedinuse: 31
% 123.05/123.47
% 123.05/123.47 Resimplifying inuse:
% 123.05/123.47 Done
% 123.05/123.47
% 123.05/123.47
% 123.05/123.47 Intermediate Status:
% 123.05/123.47 Generated: 596389
% 123.05/123.47 Kept: 104599
% 123.05/123.47 Inuse: 1521
% 123.05/123.47 Deleted: 2299
% 123.05/123.47 Deletedinuse: 31
% 123.05/123.47
% 123.05/123.47 Resimplifying inuse:
% 123.05/123.47 Done
% 123.05/123.47
% 123.05/123.47 Resimplifying clauses:
% 123.05/123.47 Done
% 123.05/123.47
% 123.05/123.47 Resimplifying inuse:
% 123.05/123.47 Done
% 123.05/123.47
% 123.05/123.47
% 123.05/123.47 Intermediate Status:
% 123.05/123.47 Generated: 604416
% 123.05/123.47 Kept: 106623
% 123.05/123.47 Inuse: 1535
% 123.05/123.47 Deleted: 2970
% 123.05/123.47 Deletedinuse: 31
% 123.05/123.47
% 123.05/123.47 Resimplifying inuse:
% 123.05/123.47 Done
% 123.05/123.47
% 123.05/123.47 Resimplifying inuse:
% 123.05/123.47 Done
% 123.05/123.47
% 123.05/123.47
% 123.05/123.47 Intermediate Status:
% 123.05/123.47 Generated: 614229
% 123.05/123.47 Kept: 108733
% 123.05/123.47 Inuse: 1560
% 123.05/123.47 Deleted: 2998
% 123.05/123.47 Deletedinuse: 59
% 123.05/123.47
% 123.05/123.47 Resimplifying inuse:
% 123.05/123.47 Done
% 123.05/123.47
% 123.05/123.47 Resimplifying inuse:
% 123.05/123.47 Done
% 123.05/123.47
% 123.05/123.47
% 123.05/123.47 Intermediate Status:
% 123.05/123.47 Generated: 631503
% 123.05/123.47 Kept: 112869
% 123.05/123.47 Inuse: 1575
% 123.05/123.47 Deleted: 2998
% 123.05/123.47 Deletedinuse: 59
% 123.05/123.47
% 123.05/123.47 Resimplifying inuse:
% 123.05/123.47 Done
% 123.05/123.47
% 123.05/123.47
% 123.05/123.47 Intermediate Status:
% 123.05/123.47 Generated: 662405
% 123.05/123.47 Kept: 115460
% 123.05/123.47 Inuse: 1590
% 123.05/123.47 Deleted: 2999
% 123.05/123.47 Deletedinuse: 60
% 123.05/123.47
% 123.05/123.47 Resimplifying inuse:
% 123.05/123.47 Done
% 123.05/123.47
% 123.05/123.47
% 123.05/123.47 Intermediate Status:
% 123.05/123.47 Generated: 688045
% 123.05/123.47 Kept: 117498
% 123.05/123.47 Inuse: 1595
% 123.05/123.47 Deleted: 3000
% 123.05/123.47 Deletedinuse: 61
% 123.05/123.47
% 123.05/123.47 Resimplifying inuse:
% 123.05/123.47 Done
% 123.05/123.47
% 123.05/123.47 Resimplifying inuse:
% 123.05/123.47 Done
% 123.05/123.47
% 123.05/123.47
% 123.05/123.47 Intermediate Status:
% 123.05/123.47 Generated: 706205
% 123.05/123.47 Kept: 119557
% 123.05/123.47 Inuse: 1600
% 123.05/123.47 Deleted: 3001
% 123.05/123.47 Deletedinuse: 61
% 123.05/123.47
% 123.05/123.47 Resimplifying inuse:
% 123.05/123.47 Done
% 123.05/123.47
% 123.05/123.47
% 123.05/123.47 Intermediate Status:
% 123.05/123.47 Generated: 715485
% 123.05/123.47 Kept: 121937
% 123.05/123.47 Inuse: 1618
% 123.05/123.47 Deleted: 3002
% 123.05/123.47 Deletedinuse: 61
% 123.05/123.47
% 123.05/123.47 Resimplifying inuse:
% 123.05/123.47 Done
% 123.05/123.47
% 123.05/123.47 Resimplifying inuse:
% 123.05/123.47 Done
% 123.05/123.47
% 123.05/123.47
% 123.05/123.47 Intermediate Status:
% 123.05/123.47 Generated: 729204
% 123.05/123.47 Kept: 123969
% 123.05/123.47 Inuse: 1646
% 123.05/123.47 Deleted: 3004
% 123.05/123.47 Deletedinuse: 61
% 123.05/123.47
% 123.05/123.47 Resimplifying inuse:
% 123.05/123.47 Done
% 123.05/123.47
% 123.05/123.47 Resimplifying inuse:
% 123.05/123.47 Done
% 123.05/123.47
% 123.05/123.47 Resimplifying clauses:
% 123.05/123.47 Done
% 123.05/123.47
% 123.05/123.47
% 123.05/123.47 Intermediate Status:
% 123.05/123.47 Generated: 743395
% 123.05/123.47 Kept: 128040
% 123.05/123.47 Inuse: 1656
% 123.05/123.47 Deleted: 11752
% 123.05/123.47 Deletedinuse: 61
% 123.05/123.47
% 123.05/123.47 Resimplifying inuse:
% 123.05/123.47 Done
% 123.05/123.47
% 123.05/123.47 Resimplifying inuse:
% 123.05/123.47 Done
% 123.05/123.47
% 123.05/123.47
% 123.05/123.47 Intermediate Status:
% 123.05/123.47 Generated: 762531
% 123.05/123.47 Kept: 130055
% 123.05/123.47 Inuse: 1699
% 123.05/123.47 Deleted: 11752
% 123.05/123.47 Deletedinuse: 61
% 123.05/123.47
% 123.05/123.47 Resimplifying inuse:
% 123.05/123.47 Done
% 123.05/123.47
% 123.05/123.47 Resimplifying inuse:
% 123.05/123.47 Done
% 123.05/123.47
% 123.05/123.47
% 123.05/123.47 Intermediate Status:
% 123.05/123.47 Generated: 776402
% 123.05/123.47 Kept: 132056
% 123.05/123.47 Inuse: 1722
% 123.05/123.47 Deleted: 11752
% 123.05/123.47 Deletedinuse: 61
% 123.05/123.47
% 123.05/123.47 Resimplifying inuse:
% 123.05/123.47 Done
% 123.05/123.47
% 123.05/123.47 Resimplifying inuse:
% 123.05/123.47 Done
% 123.05/123.47
% 123.05/123.47
% 123.05/123.47 Intermediate Status:
% 123.05/123.47 Generated: 787261
% 123.05/123.47 Kept: 134183
% 123.05/123.47 Inuse: 1741
% 123.05/123.47 Deleted: 11752
% 123.05/123.47 Deletedinuse: 61
% 123.05/123.47
% 123.05/123.47 Resimplifying inuse:
% 123.05/123.47 Done
% 123.05/123.47
% 123.05/123.47
% 123.05/123.47 Intermediate Status:
% 123.05/123.47 Generated: 809936
% 123.05/123.47 Kept: 136183
% 123.05/123.47 Inuse: 1752
% 123.05/123.47 Deleted: 11752
% 123.05/123.47 Deletedinuse: 61
% 123.05/123.47
% 123.05/123.47 Resimplifying inuse:
% 123.05/123.47 Done
% 123.05/123.47
% 123.05/123.47
% 123.05/123.47 Intermediate Status:
% 123.05/123.47 Generated: 826091
% 123.05/123.47 Kept: 138461
% 123.05/123.47 Inuse: 1766
% 123.05/123.47 Deleted: 11752
% 123.05/123.47 Deletedinuse: 61
% 123.05/123.47
% 123.05/123.47 Resimplifying inuse:
% 123.05/123.47 Done
% 123.05/123.47
% 123.05/123.47 Resimplifying inuse:
% 123.05/123.47 Done
% 123.05/123.47
% 123.05/123.47
% 123.05/123.47 Intermediate Status:
% 123.05/123.47 Generated: 848282
% 123.05/123.47 Kept: 141861
% 123.05/123.47 Inuse: 1791
% 123.05/123.47 Deleted: 11752
% 123.05/123.47 Deletedinuse: 61
% 123.05/123.47
% 123.05/123.47 Resimplifying inuse:
% 123.05/123.47 Done
% 123.05/123.47
% 123.05/123.47 Resimplifying inuse:
% 123.05/123.47 Done
% 123.05/123.47
% 123.05/123.47
% 123.05/123.47 Intermediate Status:
% 123.05/123.47 Generated: 911750
% 123.05/123.47 Kept: 144985
% 123.05/123.47 Inuse: 1801
% 123.05/123.47 Deleted: 11752
% 123.05/123.47 Deletedinuse: 61
% 123.05/123.47
% 123.05/123.47 Resimplifying inuse:
% 123.05/123.47 Done
% 123.05/123.47
% 123.05/123.47 Resimplifying inuse:
% 123.05/123.47 Done
% 123.05/123.47
% 123.05/123.47
% 123.05/123.47 Intermediate Status:
% 123.05/123.47 Generated: 930701
% 123.05/123.47 Kept: 147005
% 123.05/123.47 Inuse: 1825
% 123.05/123.47 Deleted: 11752
% 123.05/123.47 Deletedinuse: 61
% 123.05/123.47
% 123.05/123.47 Resimplifying inuse:
% 123.05/123.47 Done
% 123.05/123.47
% 123.05/123.47 ResCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------