TSTP Solution File: SWV622-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV622-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Wed Jul 20 16:27:12 EDT 2022
% Result : Timeout 300.03s 300.42s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV622-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n020.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 : Thu Jun 16 02:44:04 EDT 2022
% 0.13/0.35 % CPUTime :
% 1.17/1.54 *** allocated 10000 integers for termspace/termends
% 1.17/1.54 *** allocated 10000 integers for clauses
% 1.17/1.54 *** allocated 10000 integers for justifications
% 1.17/1.54 *** allocated 15000 integers for termspace/termends
% 1.17/1.54 *** allocated 22500 integers for termspace/termends
% 1.17/1.54 *** allocated 33750 integers for termspace/termends
% 1.17/1.54 Bliksem 1.12
% 1.17/1.54
% 1.17/1.54
% 1.17/1.54 Automatic Strategy Selection
% 1.17/1.54
% 1.17/1.54 Clauses:
% 1.17/1.54 [
% 1.17/1.54 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.17/1.54 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.17/1.54 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'( Z,
% 1.17/1.54 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 1.17/1.54 ,
% 1.17/1.54 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.17/1.54 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.17/1.54 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'(
% 1.17/1.54 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.17/1.54 ],
% 1.17/1.54 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.17/1.54 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.17/1.54 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.17/1.54 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 1.17/1.54 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.17/1.54 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.17/1.54 ,
% 1.17/1.54 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 1.17/1.54 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 1.17/1.54 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.17/1.54 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 1.17/1.54 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.17/1.54 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.17/1.54 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), =( X, Y ), ~(
% 1.17/1.54 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 1.17/1.54 [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.17/1.54 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 1.17/1.54 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), =( X, Y ), ~(
% 1.17/1.54 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 1.17/1.54 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 1.17/1.54 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.17/1.54 ,
% 1.17/1.54 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.17/1.54 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.17/1.54 [ ~( 'class_Ring__and__Field_Odvd'( X ) ), ~(
% 1.17/1.54 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.17/1.54 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 1.17/1.54 T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y,
% 1.17/1.54 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Z,
% 1.17/1.54 'c_HOL_Otimes__class_Otimes'( U, W, X ), X ), T, X ), X ) ), ~(
% 1.17/1.54 'c_Ring__and__Field_Odvd__class_Odvd'( Y, W, X ) ) ],
% 1.17/1.54 [ ~( 'class_Ring__and__Field_Odvd'( X ) ), ~(
% 1.17/1.54 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.17/1.54 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'(
% 1.17/1.54 'c_HOL_Ominus__class_Ominus'( Z, 'c_HOL_Otimes__class_Otimes'( T, U, X )
% 1.17/1.54 , X ), W, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y,
% 1.17/1.54 'c_HOL_Oplus__class_Oplus'( Z, W, X ), X ) ), ~(
% 1.17/1.54 'c_Ring__and__Field_Odvd__class_Odvd'( Y, U, X ) ) ],
% 1.17/1.54 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.17/1.54 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.17/1.54 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 1.17/1.54 ,
% 1.17/1.54 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.17/1.54 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.17/1.54 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 1.17/1.54 ,
% 1.17/1.54 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.17/1.54 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.17/1.54 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~(
% 1.17/1.54 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.17/1.54 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.17/1.54 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.17/1.54 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~(
% 1.17/1.54 'c_HOL_Oord__class_Oless'( T, U, X ) ) ],
% 1.17/1.54 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.54 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.17/1.54 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.17/1.54 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 1.17/1.54 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.17/1.54 ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.54 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ),
% 1.17/1.54 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.17/1.54 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.54 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.17/1.54 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.17/1.54 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 1.17/1.54 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.17/1.54 ), X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X )
% 1.17/1.54 , X ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.54 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.17/1.54 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.54 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.54 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), T, X ), ~(
% 1.17/1.54 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.17/1.54 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.17/1.54 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.17/1.54 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.54 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.17/1.54 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.17/1.54 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.17/1.54 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.17/1.54 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.54 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.17/1.54 [ ~( =( 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X ), Y, 'tc_nat' ),
% 1.17/1.54 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X ), Z, 'tc_nat' ) ) ), =( Y, Z )
% 1.17/1.54 ],
% 1.17/1.54 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.54 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.17/1.54 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.17/1.54 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.17/1.54 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.17/1.54 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.54 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.17/1.54 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.54 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.17/1.54 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.17/1.54 , Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.54 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.54 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.17/1.54 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.17/1.54 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.17/1.54 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.17/1.54 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.54 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.17/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.17/1.54 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.17/1.54 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.54 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 1.17/1.54 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.17/1.54 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ), =( Z,
% 1.17/1.54 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.17/1.54 ) ],
% 1.17/1.54 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.17/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 1.17/1.54 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.17/1.54 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ) ],
% 1.17/1.54 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.17/1.54 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ) ) ],
% 1.17/1.54 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ), ~(
% 1.17/1.54 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.17/1.54 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.17/1.54 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 1.17/1.54 T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X ) ),
% 1.17/1.54 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.17/1.54 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 1.17/1.54 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 1.17/1.54 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 1.17/1.54 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 1.17/1.54 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ), ~(
% 1.17/1.54 'c_lessequals'( Y, Z, 'tc_nat' ) ) ],
% 1.17/1.54 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 1.17/1.54 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ), ~(
% 1.17/1.54 'c_lessequals'( Y, Z, 'tc_nat' ) ) ],
% 1.17/1.54 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 1.17/1.54 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 1.17/1.54 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 1.17/1.54 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.17/1.54 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.17/1.54 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 1.17/1.54 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.17/1.54 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.54 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.17/1.54 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.17/1.54 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'(
% 1.17/1.54 Z, 'tc_nat' ) ), ~( 'c_lessequals'( 'c_Power_Opower__class_Opower'( Y, Z
% 1.17/1.54 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.17/1.54 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 1.17/1.54 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ],
% 1.17/1.54 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.17/1.54 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.17/1.54 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 1.17/1.54 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.17/1.54 ,
% 1.17/1.54 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.17/1.54 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.17/1.54 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.17/1.54 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.17/1.54 ,
% 1.17/1.54 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.17/1.54 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.17/1.54 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.17/1.54 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.54 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 1.17/1.54 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.17/1.54 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.17/1.54 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.17/1.54 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.54 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 1.17/1.54 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.17/1.54 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.17/1.54 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.17/1.54 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.54 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 1.17/1.54 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.17/1.54 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.17/1.54 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.17/1.54 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.54 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 1.17/1.54 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.17/1.54 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.17/1.54 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.17/1.54 X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.17/1.54 X ), T, X ) ) ],
% 1.17/1.54 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.17/1.54 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.17/1.54 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.17/1.54 Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.17/1.54 X ), Z, X ) ) ],
% 1.17/1.54 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.17/1.54 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.17/1.54 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.17/1.54 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.17/1.54 X ), Z, X ) ) ],
% 1.17/1.54 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.17/1.54 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.17/1.54 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.17/1.54 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 1.17/1.54 Z, X ), X ) ) ],
% 1.17/1.54 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.17/1.54 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.17/1.54 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z,
% 1.17/1.54 X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.17/1.54 Z, X ), X ) ) ],
% 1.17/1.54 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.54 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.17/1.54 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 1.17/1.54 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 1.17/1.54 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, T,
% 1.17/1.54 X ), Z, X ) ) ],
% 1.17/1.54 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.17/1.54 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.17/1.54 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.17/1.54 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.17/1.54 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.17/1.54 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.17/1.54 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.17/1.54 ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.17/1.54 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ), =( Z,
% 1.17/1.54 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.17/1.54 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 1.17/1.54 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 1.17/1.54 ), =( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Z ) ],
% 1.17/1.54 [ ~( =( 'c_Suc'( X ), X ) ) ],
% 1.17/1.54 [ ~( =( X, 'c_Suc'( X ) ) ) ],
% 1.17/1.54 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 1.17/1.54 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.17/1.54 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.17/1.54 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.54 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 1.17/1.54 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.17/1.54 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.17/1.54 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.54 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.17/1.54 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.54 Z, T, X ), X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.17/1.54 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ), =( T, U ), =( Z,
% 1.17/1.54 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.54 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.17/1.54 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.17/1.54 , Z, X ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.17/1.54 ), ~( 'c_lessequals'( T, Y, X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.17/1.55 , T, X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.17/1.55 ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.17/1.55 , Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.17/1.55 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.17/1.55 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.17/1.55 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ), 'c_lessequals'(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.17/1.55 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.17/1.55 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), =( Y
% 1.17/1.55 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.55 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.17/1.55 , X ) ) ],
% 1.17/1.55 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.17/1.55 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 1.17/1.55 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.17/1.55 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), T, X ),
% 1.17/1.55 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.17/1.55 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 1.17/1.55 , T, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), X ) ), =( Z
% 1.17/1.55 , 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.17/1.55 ) ) ],
% 1.17/1.55 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.17/1.55 ), X, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 1.17/1.55 [ =( 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.17/1.55 'tc_nat' ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Y,
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.17/1.55 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.17/1.55 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 1.17/1.55 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( T, Y
% 1.17/1.55 , X ), Z, X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.17/1.55 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 1.17/1.55 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, T
% 1.17/1.55 , X ), Z, X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.17/1.55 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 1.17/1.55 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ]
% 1.17/1.55 ,
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.17/1.55 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 1.17/1.55 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ]
% 1.17/1.55 ,
% 1.17/1.55 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.17/1.55 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'(
% 1.17/1.55 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ), Z ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.17/1.55 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 1.17/1.55 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.55 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.17/1.55 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.17/1.55 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.17/1.55 , X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.17/1.55 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.17/1.55 Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.17/1.55 , X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.17/1.55 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.17/1.55 , X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.17/1.55 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.17/1.55 , X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 1.17/1.55 ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.17/1.55 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.17/1.55 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.17/1.55 X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.17/1.55 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.17/1.55 ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.17/1.55 ), =( 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 1.17/1.55 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.17/1.55 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.17/1.55 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 1.17/1.55 Y, X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.17/1.55 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.17/1.55 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.17/1.55 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.17/1.55 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.17/1.55 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.17/1.55 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.17/1.55 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.17/1.55 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.17/1.55 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.17/1.55 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.17/1.55 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.17/1.55 'v_k', 'tc_nat' ) ],
% 1.17/1.55 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ouminus__class_Ouminus'(
% 1.17/1.55 Y, X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.17/1.55 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.17/1.55 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oabs__class_Oabs'( Y
% 1.17/1.55 , X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), 'c_HOL_Oabs__class_Oabs'(
% 1.17/1.55 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), X ) ],
% 1.17/1.55 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Odiv'(
% 1.17/1.55 Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 1.17/1.55 'c_HOL_Ouminus__class_Ouminus'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 1.17/1.55 X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 1.17/1.55 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Odiv'(
% 1.17/1.55 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ),
% 1.17/1.55 'c_HOL_Ouminus__class_Ouminus'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 1.17/1.55 X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), X ) ), ~(
% 1.17/1.55 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.55 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.17/1.55 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.17/1.55 , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.17/1.55 , X ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.17/1.55 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.17/1.55 ), X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.55 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.17/1.55 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.17/1.55 , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.17/1.55 ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.17/1.55 ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.17/1.55 ), X ), Z, X ) ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.17/1.55 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 1.17/1.55 T, X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.17/1.55 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.17/1.55 X ), Z, X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.17/1.55 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 1.17/1.55 T, X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.17/1.55 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.17/1.55 X ), T, X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.17/1.55 , X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.17/1.55 T, X ), X ) ) ],
% 1.17/1.55 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.17/1.55 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X,
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.17/1.55 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.17/1.55 X ), T, X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.17/1.55 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.17/1.55 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.17/1.55 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.17/1.55 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.17/1.55 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.17/1.55 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.17/1.55 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.17/1.55 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 1.17/1.55 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 1.17/1.55 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.55 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.55 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.17/1.55 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 1.17/1.55 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Z, Y, X ), X ) )
% 1.17/1.55 ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.17/1.55 Y, Z, 'tc_nat' ), ~( 'c_lessequals'( 'c_Power_Opower__class_Opower'( T, Y
% 1.17/1.55 , X ), 'c_Power_Opower__class_Opower'( T, Z, X ), X ) ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), T, X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.17/1.55 Y, Z, 'tc_nat' ), ~( 'c_lessequals'( 'c_Power_Opower__class_Opower'( T, Y
% 1.17/1.55 , X ), 'c_Power_Opower__class_Opower'( T, Z, X ), X ) ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), T, X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.17/1.55 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 1.17/1.55 Y, T, X ), X ), ~( 'c_lessequals'( Z, T, 'tc_nat' ) ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.55 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.17/1.55 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.17/1.55 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.17/1.55 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.55 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.55 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 1.17/1.55 , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.17/1.55 X ), T, X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, T,
% 1.17/1.55 X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.17/1.55 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.17/1.55 X ), ~( 'c_lessequals'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.17/1.55 ,
% 1.17/1.55 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Oone__class_Oone'(
% 1.17/1.55 'tc_nat' ), 'tc_nat' ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.17/1.55 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.17/1.55 , X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.17/1.55 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 1.17/1.55 , X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.17/1.55 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.17/1.55 , X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.17/1.55 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 1.17/1.55 , X ) ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), ~( =(
% 1.17/1.55 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y ) ), =( Y,
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.55 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.17/1.55 , X ), X ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.55 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.55 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.17/1.55 X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ), =(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.17/1.55 , T, X ), Z ), =( T, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.55 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.17/1.55 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Y, X
% 1.17/1.55 ), 'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Odiv'( Z, Y, X ),
% 1.17/1.55 'c_HOL_Oone__class_Oone'( X ), X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.17/1.55 ) ) ],
% 1.17/1.55 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.17/1.55 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 1.17/1.55 ), 'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 1.17/1.55 'c_HOL_Oone__class_Oone'( X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 1.17/1.55 ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.55 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ),
% 1.17/1.55 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.17/1.55 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 1.17/1.55 ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.17/1.55 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.17/1.55 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 1.17/1.55 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.17/1.55 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.17/1.55 ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.55 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 1.17/1.55 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 1.17/1.55 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 1.17/1.55 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.17/1.55 X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 1.17/1.55 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.17/1.55 X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 1.17/1.55 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.17/1.55 X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 1.17/1.55 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.17/1.55 X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.17/1.55 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.55 Y, Y, X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.17/1.55 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.55 Y, Z, X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 1.17/1.55 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.17/1.55 X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 1.17/1.55 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.17/1.55 X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.17/1.55 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.17/1.55 X ) ) ],
% 1.17/1.55 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( Z, T, 'tc_nat' ), 'tc_nat' ), ~(
% 1.17/1.55 'c_lessequals'( Y, T, 'tc_nat' ) ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) )
% 1.17/1.55 ],
% 1.17/1.55 [ 'c_lessequals'( X, 'c_HOL_Otimes__class_Otimes'( X,
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_nat' ), 'tc_nat' ), 'tc_nat' ) ]
% 1.17/1.55 ,
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.17/1.55 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.17/1.55 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.17/1.55 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.17/1.55 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.17/1.55 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.17/1.55 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.17/1.55 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.17/1.55 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 1.17/1.55 'c_Divides_Odiv__class_Odiv'( Z, T, X ) ), =( Y,
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.55 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.17/1.55 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 1.17/1.55 'c_Divides_Odiv__class_Odiv'( Y, T, X ) ), =( Z,
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 1.17/1.55 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ),
% 1.17/1.55 'c_Power_Opower__class_Opower'( T, 'c_Suc'( Z ), X ) ) ), =( Y, T ), ~(
% 1.17/1.55 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.17/1.55 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.17/1.55 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Osgn__class_Osgn'( Y, X ), X ),
% 1.17/1.55 'c_HOL_Osgn__class_Osgn'( Y, X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.55 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.17/1.55 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.17/1.55 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.17/1.55 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.55 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), Z, X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y
% 1.17/1.55 , X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.17/1.55 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.17/1.55 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.17/1.55 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ]
% 1.17/1.55 ,
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.17/1.55 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.55 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 1.17/1.55 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.17/1.55 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.17/1.55 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 1.17/1.55 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 1.17/1.55 , X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.17/1.55 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.55 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.17/1.55 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ]
% 1.17/1.55 ,
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.17/1.55 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.55 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.17/1.55 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.55 Y, T, X ), Z, X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.17/1.55 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.55 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.17/1.55 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.55 Y, T, X ), Z, X ) ) ],
% 1.17/1.55 [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 1.17/1.55 X, 'c_Suc'( X ), 'tc_nat' ) ],
% 1.17/1.55 [ ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X ), 'tc_nat' ) ) ],
% 1.17/1.55 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 1.17/1.55 [ =( X, 'c_Suc'( Y ) ), 'c_lessequals'( X, Y, 'tc_nat' ), ~(
% 1.17/1.55 'c_lessequals'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.17/1.55 'c_Power_Opower__class_Opower'( Y, Z, X ), X ),
% 1.17/1.55 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.17/1.55 ,
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.17/1.55 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, X )
% 1.17/1.55 , 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.17/1.55 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.17/1.55 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.55 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.17/1.55 ,
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.55 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.17/1.55 ,
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.55 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.17/1.55 ,
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.55 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.17/1.55 ,
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.17/1.55 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.17/1.55 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 1.17/1.55 T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 1.17/1.55 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.17/1.55 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.17/1.55 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.55 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oinverse__class_Oinverse'(
% 1.17/1.55 Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.17/1.55 ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.17/1.55 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.17/1.55 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.55 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.17/1.55 Z, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.17/1.55 ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.17/1.55 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Otimes__class_Otimes'( Y,
% 1.17/1.55 'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.17/1.55 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.17/1.55 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.55 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.17/1.55 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.17/1.55 , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.17/1.55 ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.17/1.55 ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.17/1.55 ), X ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.55 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.17/1.55 X ), X ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'(
% 1.17/1.55 Z, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.17/1.55 ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 1.17/1.55 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.55 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.17/1.55 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.17/1.55 , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.17/1.55 , X ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.17/1.55 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.17/1.55 ), X ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.55 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X
% 1.17/1.55 ), Y, X ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'(
% 1.17/1.55 Z, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.17/1.55 ), X ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T,
% 1.17/1.55 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.17/1.55 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.17/1.55 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.17/1.55 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.55 'class_Int_Onumber'( X ) ), =( Y, 'c_HOL_Oinverse__class_Odivide'(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.17/1.55 ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), =(
% 1.17/1.55 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.17/1.55 ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.55 'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.17/1.55 ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y ), =(
% 1.17/1.55 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.17/1.55 ) ) ],
% 1.17/1.55 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 1.17/1.55 'c_Divides_Odiv__class_Odiv'( T, U, X ), X ),
% 1.17/1.55 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), ~(
% 1.17/1.55 'c_Ring__and__Field_Odvd__class_Odvd'( U, T, X ) ), ~(
% 1.17/1.55 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.17/1.55 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.55 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X
% 1.17/1.55 ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.17/1.55 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ),
% 1.17/1.55 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.55 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.17/1.55 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.17/1.55 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.17/1.55 ), X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.17/1.55 , X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.17/1.55 ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.55 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.17/1.55 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.17/1.55 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.17/1.55 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.55 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~(
% 1.17/1.55 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.55 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.17/1.55 , X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Y,
% 1.17/1.55 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.17/1.55 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 1.17/1.55 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.17/1.55 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.17/1.55 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.17/1.55 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_nat' )
% 1.17/1.55 , 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.17/1.55 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' )
% 1.17/1.55 , 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.17/1.55 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.17/1.55 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 1.17/1.55 X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.17/1.55 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.17/1.55 X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.17/1.55 , Z, X ) ) ],
% 1.17/1.55 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.17/1.55 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 1.17/1.55 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ]
% 1.17/1.55 ,
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 1.17/1.55 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.17/1.55 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z,
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 1.17/1.55 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.17/1.55 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 1.17/1.55 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.17/1.55 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z,
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 1.17/1.55 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.17/1.55 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.17/1.55 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.17/1.55 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.17/1.55 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.17/1.55 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 1.17/1.55 ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.17/1.55 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.17/1.55 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 1.17/1.55 X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.17/1.55 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.17/1.55 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 1.17/1.55 ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.17/1.55 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.17/1.55 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 1.17/1.55 X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.17/1.55 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.17/1.55 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 1.17/1.55 ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.17/1.55 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.17/1.55 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 1.17/1.55 ) ],
% 1.17/1.55 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 1.17/1.55 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 1.17/1.55 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.17/1.55 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Otimes__class_Otimes'( Z,
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.17/1.55 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), X ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.17/1.55 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 1.17/1.55 T, Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.17/1.55 'c_HOL_Oabs__class_Oabs'( T, X ), X ) ), ~(
% 1.17/1.55 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.17/1.55 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 1.17/1.55 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~(
% 1.17/1.55 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.17/1.55 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Y, X ) ],
% 1.17/1.55 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.17/1.55 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 1.17/1.55 , T, X ), X ), 'c_HOL_Ominus__class_Ominus'(
% 1.17/1.55 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 1.17/1.55 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.17/1.55 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 1.17/1.55 , T, X ), X ), 'c_HOL_Ominus__class_Ominus'(
% 1.17/1.55 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 1.17/1.55 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.17/1.55 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_lessequals'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.17/1.55 ), =( Z, Y ) ],
% 1.17/1.55 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.17/1.55 ) ],
% 1.17/1.55 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.17/1.55 ) ],
% 1.17/1.55 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.17/1.55 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 1.17/1.55 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 1.17/1.55 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.17/1.55 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ), ~( 'c_lessequals'( X
% 1.17/1.55 , Y, 'tc_nat' ) ) ],
% 1.17/1.55 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 1.17/1.55 Y, X, 'tc_nat' ), =( Y, X ) ],
% 1.17/1.55 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 1.17/1.55 Y, X, 'tc_nat' ), =( Y, X ) ],
% 1.17/1.55 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.17/1.55 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.17/1.55 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.17/1.55 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 1.17/1.55 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.17/1.55 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.17/1.55 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 1.17/1.55 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.17/1.55 , X ) ) ), =( Y, Z ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.17/1.55 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.17/1.55 , X ) ) ), =( Y, Z ) ],
% 1.17/1.55 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_lessequals'( X,
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Oinverse__class_Odivide'(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ), Z ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ),
% 1.17/1.55 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 1.17/1.55 'c_HOL_Oabs__class_Oabs'( T, X ), X ), X ), ~( 'c_lessequals'(
% 1.17/1.55 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 1.17/1.55 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.17/1.55 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.17/1.55 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.17/1.55 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.55 'class_Int_Onumber'( X ) ), ~( =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.17/1.55 Z, X ) ) ), =( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.55 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.17/1.55 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.17/1.55 'c_HOL_Oinverse__class_Odivide'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.17/1.55 , 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( Y,
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.17/1.55 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.17/1.55 ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.17/1.55 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'( Y,
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.17/1.55 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.17/1.55 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.17/1.55 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.17/1.55 ), X ) ],
% 1.17/1.55 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.17/1.55 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z
% 1.17/1.55 , X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.55 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.17/1.55 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y
% 1.17/1.55 , X ), Z ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.17/1.55 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.55 Z, Y, X ) ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.55 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.17/1.55 , X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.17/1.55 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 1.17/1.55 , 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 1.17/1.55 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X
% 1.17/1.55 ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.17/1.55 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.17/1.55 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~(
% 1.17/1.55 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.17/1.55 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.17/1.55 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~(
% 1.17/1.55 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.17/1.55 , Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Osgn__if'( X ) ), =(
% 1.17/1.55 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =(
% 1.17/1.55 Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 1.17/1.55 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 1.17/1.55 ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.55 'class_Int_Onumber'( X ) ), =( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.55 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.17/1.55 ), X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.55 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 1.17/1.55 Z, T, X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.17/1.55 ,
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.17/1.55 ,
% 1.17/1.55 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 1.17/1.55 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.17/1.55 'tc_nat' ), X, 'tc_nat' ) ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.17/1.55 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.17/1.55 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.17/1.55 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z,
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.55 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X,
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.17/1.55 [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.55 'c_Suc'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), X, 'tc_nat'
% 1.17/1.55 ), 'tc_nat' ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.17/1.55 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.17/1.55 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), Z, X ) ), =( Z,
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.17/1.55 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.17/1.55 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Z,
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), T, X ) ), =( T,
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.17/1.55 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.17/1.55 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.17/1.55 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, U,
% 1.17/1.55 X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.17/1.55 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.17/1.55 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 1.17/1.55 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.17/1.55 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 1.17/1.55 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), X ) ), =( Z,
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.17/1.55 ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.17/1.55 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.17/1.55 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ominus__class_Ominus'(
% 1.17/1.55 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 1.17/1.55 Z, X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.17/1.55 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.17/1.55 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.17/1.55 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.17/1.55 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.17/1.55 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.17/1.55 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 1.17/1.55 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ), =( Z,
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.55 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 1.17/1.55 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 1.17/1.55 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Divides_Odiv__class_Odiv'( Y, T
% 1.17/1.55 , X ), 'c_Divides_Odiv__class_Odiv'( Z, T, X ), X ) ), ~(
% 1.17/1.55 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~(
% 1.17/1.55 'c_Ring__and__Field_Odvd__class_Odvd'( T, Y, X ) ) ],
% 1.17/1.55 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 1.17/1.55 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Divides_Odiv__class_Odiv'( Y, Z
% 1.17/1.55 , X ), 'c_Divides_Odiv__class_Odiv'( T, Z, X ), X ), ~(
% 1.17/1.55 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 1.17/1.55 'c_Ring__and__Field_Odvd__class_Odvd'( Z, T, X ) ), ~(
% 1.17/1.55 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.17/1.55 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 1.17/1.55 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 1.17/1.55 Z, X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.17/1.55 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 1.17/1.55 Z, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.17/1.55 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 1.17/1.55 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.17/1.55 , X ), Z, X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.17/1.55 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.17/1.55 , X ), Z, X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ]
% 1.17/1.55 ,
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.17/1.55 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.17/1.55 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.17/1.55 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 1.17/1.55 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.17/1.55 ,
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.17/1.55 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.17/1.55 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.17/1.55 ,
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X ), ~( 'c_lessequals'( Y,
% 1.17/1.55 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y, X ), ~( 'c_lessequals'( Z,
% 1.17/1.55 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.17/1.55 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 1.17/1.55 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~(
% 1.17/1.55 'c_lessequals'( Y, Z, X ) ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.17/1.55 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 1.17/1.55 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~(
% 1.17/1.55 'c_lessequals'( Y, Z, X ) ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.17/1.55 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 1.17/1.55 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.17/1.55 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.17/1.55 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =(
% 1.17/1.55 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 1.17/1.55 X ) ) ), =( Z, T ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 1.17/1.55 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 1.17/1.55 X ) ) ), =( Z, T ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 1.17/1.55 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 1.17/1.55 X ) ) ), =( Y, T ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.17/1.55 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.17/1.55 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.17/1.55 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.17/1.55 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.17/1.55 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.17/1.55 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.17/1.55 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.17/1.55 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.17/1.55 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y
% 1.17/1.55 , X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.17/1.55 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.17/1.55 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Z
% 1.17/1.55 , X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ), =( Z,
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.17/1.55 ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.17/1.55 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.17/1.55 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.55 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.55 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( Y,
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 1.17/1.55 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 1.17/1.55 , X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.17/1.55 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 1.17/1.55 ), X ), Y ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.55 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.17/1.55 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.17/1.55 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.55 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), Z, X ),
% 1.17/1.55 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.55 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), =( Y,
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'(
% 1.17/1.55 Z, 'tc_nat' ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.55 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 1.17/1.55 , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.17/1.55 X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.55 'c_HOL_Oinverse__class_Odivide'( Y, T, X ),
% 1.17/1.55 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.55 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.17/1.55 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.17/1.55 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.55 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.55 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.17/1.55 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.17/1.55 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.55 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.17/1.55 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T,
% 1.17/1.55 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ), ~(
% 1.17/1.55 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.17/1.55 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.55 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.17/1.55 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.17/1.55 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.55 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.17/1.55 ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.17/1.55 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ), ~( 'c_lessequals'(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.17/1.55 ), X ), Z, X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.17/1.55 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.17/1.55 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.17/1.55 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.17/1.55 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.17/1.55 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 1.17/1.55 'tc_nat' ) ), 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'tc_nat' )
% 1.17/1.55 , ~( 'c_HOL_Oord__class_Oless'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 1.17/1.55 'tc_nat' ) ), X, 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_Suc'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Y, 'tc_nat' ) ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.17/1.55 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.17/1.55 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.55 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.17/1.55 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.55 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_lessequals'( Y,
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 1.17/1.55 , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 1.17/1.55 , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 1.17/1.55 , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 1.17/1.55 , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_RealVector_Oreal__algebra'( X ) ), =(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 1.17/1.55 , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_RealVector_Oreal__algebra'( X ) ), =(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 1.17/1.55 , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.55 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.17/1.55 ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.55 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.17/1.55 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.55 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T,
% 1.17/1.55 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.55 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.17/1.55 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.17/1.55 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.55 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.17/1.55 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T
% 1.17/1.55 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.55 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.55 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.17/1.55 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.55 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.17/1.55 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.55 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.17/1.55 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.55 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.17/1.55 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.17/1.55 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.55 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.17/1.55 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.55 Y, 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.55 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =(
% 1.17/1.55 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 1.17/1.55 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 1.17/1.55 , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =(
% 1.17/1.55 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 1.17/1.55 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.17/1.55 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'(
% 1.17/1.55 X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), =( Y
% 1.17/1.55 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.17/1.55 , X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.55 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'(
% 1.17/1.55 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.17/1.55 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.55 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T,
% 1.17/1.55 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.55 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.17/1.55 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.17/1.55 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'(
% 1.17/1.55 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.17/1.55 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.55 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.55 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.17/1.55 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.17/1.55 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.55 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 1.17/1.55 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.55 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.17/1.55 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.17/1.55 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.17/1.55 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.17/1.55 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.55 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.17/1.55 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.17/1.55 , 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ), =(
% 1.17/1.55 'c_HOL_Oplus__class_Oplus'( Y, T, X ), U ) ],
% 1.17/1.55 [ 'c_lessequals'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X,
% 1.17/1.55 'tc_nat' ), ~( 'c_lessequals'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 1.17/1.55 'tc_nat' ) ), 'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_nat' ), 'tc_nat' )
% 1.17/1.55 ) ],
% 1.17/1.55 [ 'c_lessequals'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X,
% 1.17/1.55 'tc_nat' ), ~( 'c_lessequals'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 1.17/1.55 'tc_nat' ) ), 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'tc_nat' )
% 1.17/1.55 ) ],
% 1.17/1.55 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.17/1.55 ), 'tc_nat' ) ) ],
% 1.17/1.55 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.17/1.55 ), 'tc_nat' ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Osgn__if'( X ) ), =(
% 1.17/1.55 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.17/1.55 'c_HOL_Oone__class_Oone'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.17/1.55 X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z
% 1.17/1.55 ), X ), 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.55 Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.55 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 1.17/1.55 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.17/1.55 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.55 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 1.17/1.55 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.17/1.55 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'(
% 1.17/1.55 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), X ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.17/1.55 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.55 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.17/1.55 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ), ~(
% 1.17/1.55 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 1.17/1.55 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X,
% 1.17/1.55 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 1.17/1.55 [ ~( 'c_lessequals'( X, X, 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'( X,
% 1.17/1.55 'c_Suc'( X ), 'tc_nat' ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.17/1.55 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.17/1.55 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 1.17/1.55 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.17/1.55 , X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.17/1.55 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.17/1.55 ,
% 1.17/1.55 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.17/1.55 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.17/1.55 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.55 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.17/1.55 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.55 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_lessequals'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.17/1.55 [ ~( 'class_RealVector_Oreal__field'( X ) ), =(
% 1.17/1.55 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.17/1.55 , U, X ), X ), W, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 1.17/1.55 'c_HOL_Ominus__class_Ominus'( Z, U, X ), W, X ), X ),
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'(
% 1.17/1.55 'c_HOL_Ominus__class_Ominus'( Y, T, X ), W, X ), U, X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.17/1.55 'c_Divides_Odiv__class_Odiv'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 1.17/1.55 , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( 'class_Int_Onumber'( X )
% 1.17/1.55 ), =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 1.17/1.55 X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ),
% 1.17/1.55 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.17/1.55 'c_Int_Onumber__class_Onumber__of'( T, X ), X ),
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.17/1.55 ), X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.17/1.55 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'(
% 1.17/1.55 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, U,
% 1.17/1.55 X ), X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'(
% 1.17/1.55 'c_HOL_Ominus__class_Ominus'( Y, T, X ), X ), 'c_HOL_Oabs__class_Oabs'(
% 1.17/1.55 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ), X ) ],
% 1.17/1.55 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.17/1.55 'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.55 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.17/1.55 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 1.17/1.55 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.17/1.55 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.17/1.55 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z,
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 1.17/1.55 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.17/1.55 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.17/1.55 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y,
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 1.17/1.55 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.17/1.55 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.55 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.17/1.55 X ), 'c_HOL_Oinverse__class_Odivide'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.17/1.55 , X ) ) ), =( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.55 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.17/1.55 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.17/1.55 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.17/1.55 'c_HOL_Oinverse__class_Odivide'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.17/1.55 ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.55 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.17/1.55 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( 'c_HOL_Ozero__class_Ozero'(
% 1.17/1.55 X ), 'c_HOL_Oinverse__class_Odivide'( Z,
% 1.17/1.55 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.55 'c_HOL_Osgn__class_Osgn'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.55 'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.17/1.55 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 1.17/1.55 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 1.17/1.55 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.17/1.55 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.17/1.55 ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.17/1.55 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.17/1.55 ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.17/1.55 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.17/1.55 ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.17/1.55 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.17/1.55 ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.17/1.55 X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y, X ),
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.17/1.55 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.17/1.55 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.17/1.55 ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =(
% 1.17/1.55 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.17/1.55 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.17/1.55 ) ],
% 1.17/1.55 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 1.17/1.55 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 1.17/1.55 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.17/1.55 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.17/1.55 ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.17/1.55 , Z, X ) ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), =( Y, Z ) ]
% 1.17/1.55 ,
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.17/1.55 , T, X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.17/1.55 , Z, X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.17/1.55 , T, X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.17/1.55 , Z, X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 1.17/1.55 , 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 1.17/1.55 ,
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.17/1.55 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Y
% 1.17/1.55 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 1.17/1.55 ,
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.17/1.55 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.17/1.55 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.17/1.55 'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ]
% 1.17/1.55 ,
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.17/1.55 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.17/1.55 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.17/1.55 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), Z, X ) ) ]
% 1.17/1.55 ,
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.17/1.55 X ) ), ~( =( Y, 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ), =( Z,
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.55 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.17/1.55 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.17/1.55 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.17/1.55 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.55 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ), ~(
% 1.17/1.55 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.55 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 1.17/1.55 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), Y ) ],
% 1.17/1.55 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'c_Suc'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X, 'c_Suc'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.17/1.55 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'c_Suc'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, 'c_Suc'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.17/1.55 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 1.17/1.55 X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.17/1.55 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.55 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( 'class_Int_Onumber'( X )
% 1.17/1.55 ), =( 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.17/1.55 Y, X ), 'c_HOL_Ominus__class_Ominus'( Z, T, X ), X ),
% 1.17/1.55 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.55 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ),
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.17/1.55 , T, X ), X ) ) ],
% 1.17/1.55 [ =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.55 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat'
% 1.17/1.55 ), 'tc_nat' ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.17/1.55 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.17/1.55 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.17/1.55 W, X ), X ), ~( 'c_lessequals'( T, 'c_HOL_Oplus__class_Oplus'(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 1.17/1.55 , X ), W, X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( Y
% 1.17/1.55 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.55 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U, X ), W, X ), X ), ~(
% 1.17/1.55 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.55 T, U, X ), Y, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( Z, U, X ), W, X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.17/1.55 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.17/1.55 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.17/1.55 W, X ), X ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 1.17/1.55 , X ), T, X ), W, X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.17/1.55 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.55 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ), U, X ), W, X ), ~(
% 1.17/1.55 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.55 Y, T, X ), U, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( Z, T, X ), W, X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.17/1.55 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.17/1.55 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.17/1.55 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.17/1.55 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.17/1.55 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.17/1.55 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.17/1.55 [ 'c_lessequals'( 'c_Suc'( X ), Y, 'tc_nat' ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.17/1.55 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 1.17/1.55 'c_Suc'( X ), Y, 'tc_nat' ) ) ],
% 1.17/1.55 [ 'c_lessequals'( 'c_Suc'( X ), Y, 'tc_nat' ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.17/1.55 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 1.17/1.55 'c_Suc'( X ), Y, 'tc_nat' ) ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.17/1.55 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 1.17/1.55 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z, X )
% 1.17/1.55 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.17/1.55 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 1.17/1.55 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 1.17/1.55 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.17/1.55 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.17/1.55 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 1.17/1.55 Z, X ), X ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.17/1.55 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.17/1.55 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 1.17/1.55 Z, X ), X ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.17/1.55 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.17/1.55 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oabs__class_Oabs'(
% 1.17/1.55 Y, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.17/1.55 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Z, Y, X ),
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.17/1.55 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.17/1.55 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.55 'c_HOL_Ominus__class_Ominus'( T, Y, X ), Z, X ), U, X ), X ),
% 1.17/1.55 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 1.17/1.55 ) ) ],
% 1.17/1.55 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 1.17/1.55 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 1.17/1.55 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.17/1.55 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.17/1.55 ), 'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Odiv'( Y, T, X ),
% 1.17/1.55 'c_Divides_Odiv__class_Odiv'( Z, T, X ), X ) ), ~(
% 1.17/1.55 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~(
% 1.17/1.55 'c_Ring__and__Field_Odvd__class_Odvd'( T, Y, X ) ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.17/1.55 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.17/1.55 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.17/1.55 , X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.17/1.55 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.17/1.55 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_lessequals'( Z, Y, X )
% 1.17/1.55 ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'c_lessequals'(
% 1.17/1.55 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.17/1.55 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.17/1.55 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), 'c_Suc'( Y ), X ),
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.17/1.55 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y
% 1.17/1.55 , X ), Z, X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.55 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.55 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.17/1.55 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.17/1.55 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.55 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.55 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.17/1.55 , Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.55 'c_HOL_Oinverse__class_Odivide'( T, Z, X ),
% 1.17/1.55 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.55 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.17/1.55 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.17/1.55 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.17/1.55 ), X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.17/1.55 ), X ), Z, X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.55 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.17/1.55 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.17/1.55 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.17/1.55 ), X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.17/1.55 ), X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.55 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.17/1.55 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.17/1.55 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.55 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.55 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.17/1.55 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.17/1.55 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'( Y,
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, T, X ) ) ]
% 1.17/1.55 ,
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.17/1.55 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.17/1.55 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( T, Z, X ) )
% 1.17/1.55 ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.17/1.55 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ), =( Z,
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.17/1.55 ), X ) ) ],
% 1.17/1.55 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( 'tc_nat' )
% 1.17/1.55 , X, 'tc_nat' ), X ) ],
% 1.17/1.55 [ =( 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Oone__class_Oone'( 'tc_nat'
% 1.17/1.55 ), 'tc_nat' ), X ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.17/1.55 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 1.17/1.55 , Y, X ), X ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.17/1.55 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 1.17/1.55 , Z, X ), X ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Odvd'( X ) ),
% 1.17/1.55 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 1.17/1.55 , Z, X ), X ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.17/1.55 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( U, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), U, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.17/1.55 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 1.17/1.55 ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.17/1.55 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.17/1.55 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.17/1.55 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ), =( Z,
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.17/1.55 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oabs__class_Oabs'(
% 1.17/1.55 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.17/1.55 'c_HOL_Ouminus__class_Ouminus'( 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.17/1.55 ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.55 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.17/1.55 ), X ) ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.17/1.55 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.17/1.55 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 1.17/1.55 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.17/1.55 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.17/1.55 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 1.17/1.55 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 1.17/1.55 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 1.17/1.55 'tc_nat' ) ), 'tc_nat' ) ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.17/1.55 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'(
% 1.17/1.55 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 1.17/1.55 X ), 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X
% 1.17/1.55 ), X ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.55 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Z, X ), U, X ) ),
% 1.17/1.55 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), T, X ) )
% 1.17/1.55 ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.55 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.17/1.55 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.17/1.55 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.17/1.55 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.17/1.55 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.17/1.55 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.55 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.17/1.55 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.17/1.55 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'(
% 1.17/1.55 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.17/1.55 ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T
% 1.17/1.55 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.17/1.55 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), Z, X
% 1.17/1.55 ), Y ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.17/1.55 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 1.17/1.55 ), X ), Y ) ],
% 1.17/1.55 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.17/1.55 'tc_nat' ) ],
% 1.17/1.55 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 1.17/1.55 'tc_nat' ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.55 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.17/1.55 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.17/1.55 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.55 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.17/1.55 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.55 Y, 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.17/1.55 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.55 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.17/1.55 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.17/1.55 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.55 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.17/1.55 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T
% 1.17/1.55 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.17/1.55 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.17/1.55 [ =( 'c_Complex_Ocnj'( 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex'
% 1.17/1.55 ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.17/1.55 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ),
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.17/1.55 ), X ) ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.17/1.55 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ),
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.17/1.55 Y, X ) ) ],
% 1.17/1.55 [ ~( 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'( Y,
% 1.17/1.55 'c_Suc'( Z ), X ), 'c_HOL_Otimes__class_Otimes'( Y,
% 1.17/1.55 'c_Power_Opower__class_Opower'( Y, Z, X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.17/1.55 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.17/1.55 , ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.17/1.55 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.17/1.55 ,
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.17/1.55 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.17/1.55 ,
% 1.17/1.55 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.17/1.55 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.17/1.55 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.17/1.55 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 1.17/1.55 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.17/1.55 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.17/1.55 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.17/1.55 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 1.17/1.55 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.17/1.55 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.17/1.55 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.17/1.55 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 1.17/1.55 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.17/1.55 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.17/1.55 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.17/1.55 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 1.17/1.55 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.17/1.55 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.17/1.55 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.17/1.55 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.55 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.17/1.55 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.17/1.55 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.17/1.55 'c_Ring__and__Field_Odvd__class_Odvd'( Z, T, X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.17/1.55 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.17/1.55 , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.17/1.55 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 1.17/1.55 'c_Power_Opower__class_Opower'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z
% 1.17/1.55 , X ), 'c_Power_Opower__class_Opower'( Y, Z, X ) ), ~(
% 1.17/1.55 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.55 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.17/1.55 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.17/1.55 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.17/1.55 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.55 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~(
% 1.17/1.55 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.55 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.17/1.55 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ),
% 1.17/1.55 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 1.17/1.55 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.17/1.55 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.17/1.55 W, X ) ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.55 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), W ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 1.17/1.55 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.17/1.55 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.17/1.55 W, X ) ) ), =( T, 'c_HOL_Oplus__class_Oplus'(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 1.17/1.55 , X ), W, X ) ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.55 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.17/1.55 X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.55 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.55 Y, 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), T, X ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.17/1.55 ), X ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T,
% 1.17/1.55 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.55 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.17/1.55 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.17/1.55 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.55 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.17/1.55 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T,
% 1.17/1.55 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.55 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.55 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.17/1.55 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.55 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.17/1.55 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.55 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'( Z,
% 1.17/1.55 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( T
% 1.17/1.55 , X ), X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.55 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.17/1.55 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.17/1.55 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.55 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.17/1.55 ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.17/1.55 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.55 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.17/1.55 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( T, Z, 'tc_nat' ) ) ],
% 1.17/1.55 [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Otimes__class_Otimes'( X, Y
% 1.17/1.55 , 'tc_nat' ), 'tc_nat' ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Y,
% 1.17/1.55 'tc_nat' ) ) ],
% 1.17/1.55 [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Otimes__class_Otimes'( X, Y
% 1.17/1.55 , 'tc_nat' ), 'tc_nat' ), ~( 'c_Parity_Oeven__odd__class_Oeven'( X,
% 1.17/1.55 'tc_nat' ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.17/1.55 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Power_Opower__class_Opower'( Y
% 1.17/1.55 , Z, X ), 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 1.17/1.55 'c_lessequals'( Z, T, 'tc_nat' ) ) ],
% 1.17/1.55 [ =( 'c_Complex_Ocnj'( 'c_Complex_Ocnj'( X ) ), X ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.17/1.55 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 1.17/1.55 Y, T, X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Oone__class_Oone'( X ), X )
% 1.17/1.55 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.17/1.55 'c_lessequals'( T, Z, 'tc_nat' ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.55 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.17/1.55 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.17/1.55 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.55 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.55 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.55 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.17/1.55 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.17/1.55 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.55 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.55 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.55 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.17/1.55 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.17/1.55 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.17/1.55 ), X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.17/1.55 X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.55 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.17/1.55 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.17/1.55 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.17/1.55 ), X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.17/1.55 ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.17/1.55 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.17/1.55 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 1.17/1.55 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 1.17/1.55 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 1.17/1.55 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.17/1.55 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 1.17/1.55 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 1.17/1.55 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 1.17/1.55 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.17/1.55 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 1.17/1.55 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 1.17/1.55 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 1.17/1.55 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.55 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.17/1.55 ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.17/1.55 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.17/1.55 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 1.17/1.55 , 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.55 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.17/1.55 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.17/1.55 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.55 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.55 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.17/1.55 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.17/1.55 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.55 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.55 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.55 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.17/1.55 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 1.17/1.55 X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.17/1.55 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 1.17/1.55 X ) ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.17/1.55 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 1.17/1.55 X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.17/1.55 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.17/1.55 ), X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.17/1.55 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.17/1.55 ), X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( Z,
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.17/1.55 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.17/1.55 ), X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( Y,
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.17/1.55 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.17/1.55 ), X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 1.17/1.55 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.55 Z, X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 1.17/1.55 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.17/1.55 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.17/1.55 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.17/1.55 'c_lessequals'( Z, Y, X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 1.17/1.55 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.17/1.55 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 1.17/1.55 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.17/1.55 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.17/1.55 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.17/1.55 'c_lessequals'( Z, Y, X ) ) ],
% 1.17/1.55 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ) ) ), =( Y,
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, Z ) ],
% 1.17/1.55 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) ) ), =( X,
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y, Z ) ],
% 1.17/1.55 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) ) ), =( Y, Z ), =( X,
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.17/1.55 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.17/1.55 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), T, X ),
% 1.17/1.55 'c_HOL_Oplus__class_Oplus'( Z, 'c_Divides_Odiv__class_Odiv'( Y, T, X ), X
% 1.17/1.55 ) ), =( T, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.55 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.17/1.55 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), Z, X ),
% 1.17/1.55 'c_HOL_Oplus__class_Oplus'( T, 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), X
% 1.17/1.55 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.17/1.55 ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.17/1.55 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.17/1.55 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 1.17/1.55 , Y, X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.17/1.55 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.55 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 1.17/1.55 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.17/1.55 , Z, X ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.17/1.55 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.17/1.55 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 1.17/1.55 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.17/1.55 , Z, X ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.17/1.55 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.17/1.55 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.17/1.55 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X
% 1.17/1.55 ), X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 1.17/1.55 ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.17/1.55 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ),
% 1.17/1.55 ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X
% 1.17/1.55 ), X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.17/1.55 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.55 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.17/1.55 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.17/1.55 , T, X ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.17/1.55 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.55 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.17/1.55 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.17/1.55 , T, X ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.17/1.55 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.55 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.17/1.55 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.17/1.55 Z, X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.55 'class_Int_Onumber'( X ) ), =( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.17/1.55 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.55 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), Z, X ) ), =( Z,
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.17/1.55 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 1.17/1.55 X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.17/1.55 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.55 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 1.17/1.55 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 1.17/1.55 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 1.17/1.55 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.17/1.55 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.17/1.55 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.55 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.17/1.55 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.17/1.55 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.17/1.55 , T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.17/1.55 ), T, X ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.55 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.17/1.55 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.17/1.55 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.17/1.55 , T, X ), Z, X ) ) ],
% 1.17/1.55 [ =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'c_Suc'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.17/1.55 'c_lessequals'( Y, 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.55 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.17/1.55 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.17/1.55 ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.17/1.55 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.17/1.55 ~( 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.17/1.55 , 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.55 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.17/1.55 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.17/1.55 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.55 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.17/1.55 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.17/1.55 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.17/1.55 , T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.17/1.55 , T, X ), Z, X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 1.17/1.55 , X ), U, X ), W, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.55 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), U, X
% 1.17/1.55 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, T, X ),
% 1.17/1.55 W, X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 1.17/1.55 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 1.17/1.55 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 1.17/1.55 , X ), T, X ), W, X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U
% 1.17/1.55 , X ), W, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.55 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, U, X ), Y, X
% 1.17/1.55 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, U, X ),
% 1.17/1.55 W, X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 1.17/1.55 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 1.17/1.55 ), X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Oplus__class_Oplus'(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 1.17/1.55 , X ), W, X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.55 'class_Int_Onumber'( X ) ), =( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.55 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.17/1.55 , X ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), =(
% 1.17/1.55 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.17/1.55 ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.55 'class_Int_Onumber'( X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.55 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.17/1.55 , X ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y ), =(
% 1.17/1.55 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.17/1.55 ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 1.17/1.55 , X ) ) ],
% 1.17/1.55 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.17/1.55 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.55 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.17/1.55 ,
% 1.17/1.55 [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Ozero__class_Ozero'(
% 1.17/1.55 'tc_nat' ), 'tc_nat' ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.17/1.55 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.17/1.55 ), =( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.17/1.55 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.17/1.55 ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ],
% 1.17/1.55 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.17/1.55 'c_Power_Opower__class_Opower'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 1.17/1.55 T, X ), 'c_Divides_Odiv__class_Odiv'( 'c_Power_Opower__class_Opower'( Y,
% 1.17/1.55 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ), ~(
% 1.17/1.55 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.55 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.17/1.55 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 1.17/1.55 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.17/1.55 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 1.17/1.55 ,
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.17/1.55 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 1.17/1.55 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.17/1.55 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 1.17/1.55 ,
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.17/1.55 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'( Y, Y
% 1.17/1.55 , X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.17/1.55 'c_HOL_Oinverse__class_Oinverse'( 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.17/1.55 ), X ), 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'(
% 1.17/1.55 Y, X ), Z, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.17/1.55 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.17/1.55 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 1.17/1.55 Y, X ), X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.55 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 1.17/1.55 , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.55 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.17/1.55 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.55 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.17/1.55 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.17/1.55 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.55 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.17/1.55 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) )
% 1.17/1.55 , 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.17/1.55 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ),
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.17/1.55 ), X ) ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~(
% 1.17/1.55 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.17/1.55 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.17/1.55 ,
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.17/1.55 , Y, X ) ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.17/1.55 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.17/1.55 ,
% 1.17/1.55 [ =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_nat' ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.17/1.55 , Y, X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.55 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.55 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), T, X ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.17/1.55 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ),
% 1.17/1.55 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.55 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.17/1.55 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.17/1.55 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.17/1.55 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.55 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ]
% 1.17/1.55 ,
% 1.17/1.55 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.17/1.55 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.17/1.55 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.17/1.55 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.17/1.55 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.17/1.55 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.17/1.55 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 1.17/1.55 ) ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.17/1.55 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.17/1.55 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.17/1.55 ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.17/1.55 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.17/1.55 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.17/1.55 ) ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.17/1.55 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.17/1.55 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 1.17/1.55 ) ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =(
% 1.17/1.55 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.17/1.55 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.17/1.55 ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.17/1.55 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.17/1.55 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.17/1.55 ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.17/1.55 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.17/1.55 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 1.17/1.55 ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.17/1.55 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.17/1.55 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 1.17/1.55 ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.17/1.55 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.17/1.55 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.17/1.55 ) ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 1.17/1.55 ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.17/1.55 ), ~( =( 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.17/1.55 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.17/1.55 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.17/1.55 Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X )
% 1.17/1.55 , 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 1.17/1.55 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( 'c_Suc'(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( 'c_Suc'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), X, 'tc_nat' ) ), 'tc_nat' ) )
% 1.17/1.55 ],
% 1.17/1.55 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.17/1.55 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.17/1.55 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.17/1.55 , X ), 'c_lessequals'( Z, Y, X ) ],
% 1.17/1.55 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 1.17/1.55 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 1.17/1.55 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 1.17/1.55 , X ), 'c_lessequals'( Y, Y, X ) ],
% 1.17/1.55 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.17/1.55 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.17/1.55 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 1.17/1.55 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.17/1.55 , X ), 'c_lessequals'( Z, Y, X ) ],
% 1.17/1.55 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.17/1.55 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 1.17/1.55 ), X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.17/1.55 ), X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 1.17/1.55 ), X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.17/1.55 ), X ) ) ],
% 1.17/1.55 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 1.17/1.55 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ), =( X, 'c_HOL_Oone__class_Oone'(
% 1.17/1.55 'tc_nat' ) ) ],
% 1.17/1.55 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 1.17/1.55 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ), =( Y, 'c_HOL_Oone__class_Oone'(
% 1.17/1.55 'tc_nat' ) ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.17/1.55 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.17/1.55 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.17/1.55 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 1.17/1.55 T, Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 1.17/1.55 ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.17/1.55 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.17/1.55 , T, X ) ) ), =( Z, T ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.17/1.55 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.17/1.55 , T, X ) ) ), =( Y, Z ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), ~( 'class_Int_Onumber'(
% 1.17/1.55 X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.55 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Oplus__class_Oplus'( Z
% 1.17/1.55 , T, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.55 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ),
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.17/1.55 , T, X ), X ) ) ],
% 1.17/1.55 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) ) ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.17/1.55 'tc_nat' ) ), =( Y, Z ) ],
% 1.17/1.55 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.17/1.55 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X
% 1.17/1.55 , Y, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat'
% 1.17/1.55 ) ) ],
% 1.17/1.55 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.17/1.55 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y
% 1.17/1.55 , X, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_nat' ), 'tc_nat'
% 1.17/1.55 ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.17/1.55 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_lessequals'( Y,
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.17/1.55 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 1.17/1.55 X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.17/1.55 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), =( Y,
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_lessequals'(
% 1.17/1.55 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_lessequals'( Y,
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.17/1.55 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.17/1.55 ), X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.17/1.55 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.17/1.55 , T, X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.17/1.55 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.17/1.55 , Z, X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.17/1.55 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X
% 1.17/1.55 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 1.17/1.55 ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.17/1.55 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.17/1.55 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.17/1.55 X ), T, X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.17/1.55 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( T, Z, X
% 1.17/1.55 ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.17/1.55 ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.17/1.55 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.17/1.55 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.17/1.55 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ), ~(
% 1.17/1.55 'c_lessequals'( Y, Z, 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ) ],
% 1.17/1.55 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_nat' ),
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ) ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 1.17/1.55 'tc_nat' ) ) ],
% 1.17/1.55 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ) ), ~(
% 1.17/1.55 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_nat' ),
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.17/1.55 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ) ), ~(
% 1.17/1.55 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ),
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.17/1.55 [ =( X, 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X,
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X
% 1.17/1.55 , 'c_Suc'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat'
% 1.17/1.55 ) ) ],
% 1.17/1.55 [ ~( 'class_Int_Oring__char__0'( X ) ), ~( 'class_Int_Onumber__ring'( X
% 1.17/1.55 ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.17/1.55 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =( Y, Z ) ],
% 1.17/1.55 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.17/1.55 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.17/1.55 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.55 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.17/1.55 , U, X ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'(
% 1.17/1.55 Y, T, X ), U, X ), X ), 'c_HOL_Otimes__class_Otimes'( T,
% 1.17/1.55 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.17/1.55 ), X ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.17/1.55 ), X ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.17/1.55 'class_OrderedGroup_Omonoid__mult'( X ) ), 'c_lessequals'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.17/1.55 ), X ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 1.17/1.55 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.17/1.55 'c_Suc'( X ), 'tc_nat' ) ],
% 1.17/1.55 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.17/1.55 'c_Suc'( X ), 'tc_nat' ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.17/1.55 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ),
% 1.17/1.55 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.17/1.55 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.17/1.55 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.55 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.17/1.55 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.17/1.55 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.17/1.55 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 1.17/1.55 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 1.17/1.55 , Y, X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =(
% 1.17/1.55 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.17/1.55 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 1.17/1.55 ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.55 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ), U, X ) ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.17/1.55 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 1.17/1.55 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.17/1.55 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 1.17/1.55 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.17/1.55 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.17/1.55 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.17/1.55 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 1.17/1.55 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.55 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.17/1.55 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.17/1.55 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'tc_nat' ) )
% 1.17/1.55 ],
% 1.17/1.55 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.17/1.55 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.17/1.55 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_nat' ), 'tc_nat' ) )
% 1.17/1.55 ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.17/1.55 'c_Power_Opower__class_Opower'( T, Z, X ), X ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 1.17/1.55 'tc_nat' ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.17/1.55 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.17/1.55 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.17/1.55 ) ), =( Y, Z ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.17/1.55 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.17/1.55 ) ), =( Y, Z ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.17/1.55 X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.17/1.55 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, Z, X ),
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.17/1.55 X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.17/1.55 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.17/1.55 X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 1.17/1.55 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.17/1.55 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 1.17/1.55 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.17/1.55 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 1.17/1.55 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.17/1.55 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 1.17/1.55 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.17/1.55 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.17/1.55 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.17/1.55 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.17/1.55 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.17/1.55 , U, X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.17/1.55 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.17/1.55 , X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.17/1.55 ,
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.17/1.55 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.17/1.55 , X ) ) ],
% 1.17/1.55 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' )
% 1.17/1.55 ],
% 1.17/1.55 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), T
% 1.17/1.55 , X ), 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.17/1.55 X ), Z, X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ]
% 1.17/1.55 ,
% 1.17/1.55 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( Z ), X
% 1.17/1.55 , 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( Z ), Y, 'tc_nat' ),
% 1.17/1.55 'tc_nat' ) ) ],
% 1.17/1.55 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X )
% 1.17/1.55 , Y, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X ), Z, 'tc_nat'
% 1.17/1.55 ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 1.17/1.55 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ), =( 'c_Suc'( X
% 1.17/1.55 ), Y ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.17/1.55 [ 'c_lessequals'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_lessequals'( Y, X,
% 1.17/1.55 'tc_nat' ) ],
% 1.17/1.55 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X ), 'tc_nat' ) )
% 1.17/1.55 , 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 1.17/1.55 [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 1.17/1.55 [ ~( =( X, 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ) ) ), =( X,
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y, 'c_HOL_Oone__class_Oone'(
% 1.17/1.55 'tc_nat' ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.17/1.55 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.17/1.55 , X ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.55 'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.17/1.55 , Z, X ), Z, X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), =( Z,
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.55 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.17/1.55 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.17/1.55 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.55 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.55 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.55 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.17/1.55 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.17/1.55 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.17/1.55 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.17/1.55 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.55 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ),
% 1.17/1.55 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.55 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 1.17/1.55 , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_lessequals'(
% 1.17/1.55 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.17/1.55 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.17/1.55 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.17/1.55 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 1.17/1.55 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.17/1.55 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.17/1.55 ) ],
% 1.17/1.55 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 1.17/1.55 'tc_nat' ) ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat'
% 1.17/1.55 ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.17/1.55 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.17/1.55 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.17/1.55 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ), X ) ]
% 1.17/1.55 ,
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.55 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.17/1.55 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.55 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.17/1.55 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.56 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.17/1.56 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.56 [ =( 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.17/1.56 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.17/1.56 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.17/1.56 ), X, 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.17/1.56 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.17/1.56 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.56 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.17/1.56 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.17/1.56 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 1.17/1.56 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 1.17/1.56 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 1.17/1.56 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 1.17/1.56 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.17/1.56 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'(
% 1.17/1.56 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ),
% 1.17/1.56 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'( Y, Z, X ), X )
% 1.17/1.56 ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.17/1.56 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X
% 1.17/1.56 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.17/1.56 'c_HOL_Oone__class_Oone'( X ), X ), Z, X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.17/1.56 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X
% 1.17/1.56 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Z,
% 1.17/1.56 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), ~( 'class_Int_Onumber'(
% 1.17/1.56 X ) ), =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z
% 1.17/1.56 , X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ),
% 1.17/1.56 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.17/1.56 'c_Int_Onumber__class_Onumber__of'( T, X ), X ),
% 1.17/1.56 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.17/1.56 ), X ), X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =( Y,
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Int_Oiszero'( Y, X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.17/1.56 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ),
% 1.17/1.56 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) )
% 1.17/1.56 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.17/1.56 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'(
% 1.17/1.56 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.17/1.56 X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.17/1.56 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 1.17/1.56 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.17/1.56 Z, X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.17/1.56 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.17/1.56 Z, X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.17/1.56 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 1.17/1.56 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oabs__class_Oabs'( Z, X
% 1.17/1.56 ), X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.17/1.56 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oabs__class_Oabs'( Z, X
% 1.17/1.56 ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 1.17/1.56 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.17/1.56 , Y, X ) ) ],
% 1.17/1.56 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 1.17/1.56 , X ) ) ],
% 1.17/1.56 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 1.17/1.56 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 1.17/1.56 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.17/1.56 , Y, X ) ) ],
% 1.17/1.56 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.17/1.56 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.17/1.56 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oabs__class_Oabs'(
% 1.17/1.56 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.17/1.56 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), 'c_HOL_Oord__class_Oless'(
% 1.17/1.56 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.17/1.56 ), X ) ],
% 1.17/1.56 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.17/1.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.56 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.17/1.56 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.17/1.56 X ), X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.17/1.56 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.17/1.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.17/1.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.17/1.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.17/1.56 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.17/1.56 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.17/1.56 ,
% 1.17/1.56 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.17/1.56 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.17/1.56 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.17/1.56 , X ) ) ],
% 1.17/1.56 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.17/1.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.17/1.56 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.56 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.17/1.56 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.17/1.56 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.17/1.56 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 1.17/1.56 'tc_nat' ) ) ],
% 1.17/1.56 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.17/1.56 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.17/1.56 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 1.17/1.56 'tc_nat' ) ) ],
% 1.17/1.56 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.17/1.56 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.17/1.56 'c_HOL_Oplus__class_Oplus'( Z, Y, X ), X ), Z ) ],
% 1.17/1.56 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.17/1.56 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.17/1.56 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), Z ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.17/1.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.17/1.56 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 1.17/1.56 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.17/1.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.17/1.56 ,
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.17/1.56 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.17/1.56 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.17/1.56 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.17/1.56 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.17/1.56 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.17/1.56 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.17/1.56 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.17/1.56 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 1.17/1.56 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 1.17/1.56 , X ) ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.17/1.56 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.17/1.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 1.17/1.56 , X ) ) ],
% 1.17/1.56 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.17/1.56 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.56 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.17/1.56 , X ) ) ],
% 1.17/1.56 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 1.17/1.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'(
% 1.17/1.56 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.17/1.56 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.17/1.56 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), 'c_lessequals'( Z,
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.17/1.56 'c_Power_Opower__class_Opower'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.17/1.56 ), X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.17/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.56 'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 1.17/1.56 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.56 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.17/1.56 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.17/1.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.56 'c_HOL_Oone__class_Oone'( X ), X ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.17/1.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.17/1.56 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.17/1.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.56 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 1.17/1.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.17/1.56 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.17/1.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.17/1.56 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.17/1.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.56 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 1.17/1.56 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.17/1.56 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.17/1.56 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.17/1.56 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Osgn__if'( X ) ), =(
% 1.17/1.56 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.17/1.56 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.56 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.17/1.56 Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.17/1.56 ~( 'c_lessequals'( 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( T ), X ),
% 1.17/1.56 'c_Power_Opower__class_Opower'( Z, 'c_Suc'( T ), X ), X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.17/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 1.17/1.56 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.17/1.56 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 1.17/1.56 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.17/1.56 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.17/1.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.17/1.56 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.56 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.17/1.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.17/1.56 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 1.17/1.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.17/1.56 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.17/1.56 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 1.17/1.56 ,
% 1.17/1.56 [ ~( =( 'c_Complex_Ocnj'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.17/1.56 'tc_Complex_Ocomplex' ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 1.17/1.56 'tc_Complex_Ocomplex' ) ) ],
% 1.17/1.56 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ),
% 1.17/1.56 ~( 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.17/1.56 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'(
% 1.17/1.56 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.17/1.56 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.17/1.56 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ),
% 1.17/1.56 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.17/1.56 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ),
% 1.17/1.56 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.17/1.56 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ],
% 1.17/1.56 [ ~( =( 'c_Complex_Ocnj'( X ), 'c_Complex_Ocnj'( Y ) ) ), =( X, Y ) ]
% 1.17/1.56 ,
% 1.17/1.56 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.17/1.56 'tc_nat' ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.17/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.56 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.17/1.56 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.17/1.56 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( Y
% 1.17/1.56 , X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.17/1.56 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.17/1.56 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.17/1.56 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.17/1.56 'c_HOL_Oone__class_Oone'( X ), X ) ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.17/1.56 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.17/1.56 ), X ), 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.17/1.56 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.17/1.56 Y, X ), 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.17/1.56 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 1.17/1.56 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 1.17/1.56 X ), X ) ) ],
% 1.17/1.56 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 1.17/1.56 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.17/1.56 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y
% 1.17/1.56 , Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X
% 1.17/1.56 ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 1.17/1.56 'c_Power_Opower__class_Opower'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z
% 1.17/1.56 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_Power_Opower__class_Opower'( Y
% 1.17/1.56 , Z, X ), X ) ), 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.17/1.56 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Power_Opower__class_Opower'( Y
% 1.17/1.56 , Z, X ), 'c_Power_Opower__class_Opower'( T, U, X ), X ), ~(
% 1.17/1.56 'c_lessequals'( Z, U, 'tc_nat' ) ), ~(
% 1.17/1.56 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.17/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.56 'class_Int_Onumber'( X ) ), ~( =( 'c_HOL_Oinverse__class_Odivide'( Y, Z,
% 1.17/1.56 X ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), =( Y,
% 1.17/1.56 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( T, X )
% 1.17/1.56 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.56 [ 'c_lessequals'( X, 'c_Suc'( Y ), 'tc_nat' ), ~( 'c_lessequals'( X, Y,
% 1.17/1.56 'tc_nat' ) ) ],
% 1.17/1.56 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( 'c_Suc'( X ), Y,
% 1.17/1.56 'tc_nat' ) ) ],
% 1.17/1.56 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), ~( 'c_lessequals'( 'c_Suc'( Y )
% 1.17/1.56 , X, 'tc_nat' ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.17/1.56 'c_Power_Opower__class_Opower'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 1.17/1.56 , 'c_Power_Opower__class_Opower'( Y, Z, X ) ), ~(
% 1.17/1.56 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 1.17/1.56 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.17/1.56 'tc_nat' ), 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.17/1.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 1.17/1.56 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.17/1.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.17/1.56 'c_HOL_Oone__class_Oone'( X ), X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.56 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.17/1.56 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.17/1.56 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.17/1.56 X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.17/1.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.17/1.56 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.56 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.17/1.56 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.17/1.56 ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.17/1.56 X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~(
% 1.17/1.56 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 1.17/1.56 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.56 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.17/1.56 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.17/1.56 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.17/1.56 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.56 T, 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.56 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.17/1.56 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.17/1.56 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.17/1.56 ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.17/1.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.17/1.56 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.17/1.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X
% 1.17/1.56 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 1.17/1.56 'c_HOL_Ominus__class_Ominus'( T, Y, X ), X ), Z, X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.17/1.56 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 1.17/1.56 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 1.17/1.56 ],
% 1.17/1.56 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.17/1.56 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.17/1.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.56 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 1.17/1.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.17/1.56 ,
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.17/1.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.56 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 1.17/1.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.17/1.56 ,
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.17/1.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.17/1.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.56 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.17/1.56 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'(
% 1.17/1.56 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( Z ), X, 'tc_nat' ),
% 1.17/1.56 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( Z ), Y, 'tc_nat' ), 'tc_nat' ) ) ]
% 1.17/1.56 ,
% 1.17/1.56 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X ), Y,
% 1.17/1.56 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X ), Z, 'tc_nat' ),
% 1.17/1.56 'tc_nat' ), ~( 'c_lessequals'( Y, Z, 'tc_nat' ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.17/1.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.56 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.17/1.56 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Z,
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.17/1.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.56 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.17/1.56 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Y,
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.56 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.17/1.56 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 1.17/1.56 T, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.17/1.56 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 1.17/1.56 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 1.17/1.56 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.17/1.56 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 1.17/1.56 T, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.17/1.56 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 1.17/1.56 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.17/1.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.17/1.56 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.17/1.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.17/1.56 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.17/1.56 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.17/1.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.17/1.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.17/1.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.17/1.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.17/1.56 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.17/1.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.17/1.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.17/1.56 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.17/1.56 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.56 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~( =(
% 1.17/1.56 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.17/1.56 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 1.17/1.56 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 1.17/1.56 T, Z, X ) ) ), =( Y, T ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ) ), ~(
% 1.17/1.56 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.17/1.56 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.17/1.56 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.17/1.56 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.17/1.56 , Z ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( T, X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.17/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.17/1.56 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.17/1.56 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 1.17/1.56 'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ), =( Z,
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.17/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.17/1.56 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.17/1.56 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 1.17/1.56 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ), =( Y,
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.56 [ 'c_lessequals'( 'c_Suc'( X ), 'c_Suc'( X ), 'tc_nat' ) ],
% 1.17/1.56 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ), ~(
% 1.17/1.56 'c_Parity_Oeven__odd__class_Oeven'( 'c_Suc'( X ), 'tc_nat' ) ) ],
% 1.17/1.56 [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_Suc'( X ), 'tc_nat' ),
% 1.17/1.56 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.56 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.17/1.56 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.17/1.56 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.17/1.56 X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 'c_lessequals'(
% 1.17/1.56 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.17/1.56 ), X ), Z, X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.56 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.56 Y, 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), T, X ), ~(
% 1.17/1.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.56 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'( Y,
% 1.17/1.56 'c_HOL_Oinverse__class_Odivide'( T, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.17/1.56 , X ), X ), X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.56 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.17/1.56 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.17/1.56 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.17/1.56 ), X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.17/1.56 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.56 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.17/1.56 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.17/1.56 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.17/1.56 ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 'c_lessequals'(
% 1.17/1.56 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( T
% 1.17/1.56 , X ), X ), Z, X ) ) ],
% 1.17/1.56 [ 'c_lessequals'( X, 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_nat' ),
% 1.17/1.56 'tc_nat' ) ],
% 1.17/1.56 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( 'tc_nat' )
% 1.17/1.56 , 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ),
% 1.17/1.56 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.17/1.56 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.17/1.56 'c_HOL_Otimes__class_Otimes'( Y, 'c_Divides_Odiv__class_Odiv'( Z, Y, X )
% 1.17/1.56 , X ), Z ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 1.17/1.56 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.17/1.56 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z
% 1.17/1.56 , X ), Y ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 1.17/1.56 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.17/1.56 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.17/1.56 ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.17/1.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.17/1.56 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.17/1.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.17/1.56 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.17/1.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.17/1.56 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.17/1.56 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.17/1.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.17/1.56 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.17/1.56 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.17/1.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.17/1.56 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.17/1.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.17/1.56 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.17/1.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.17/1.56 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.17/1.56 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.17/1.56 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.17/1.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.17/1.56 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.17/1.56 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.17/1.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.17/1.56 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.17/1.56 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.17/1.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.17/1.56 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.17/1.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.17/1.56 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.17/1.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.17/1.56 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.17/1.56 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.17/1.56 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.17/1.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.17/1.56 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.17/1.56 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.17/1.56 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.56 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.17/1.56 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.17/1.56 X ), T, X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.17/1.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.17/1.56 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.17/1.56 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.17/1.56 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.56 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.17/1.56 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.17/1.56 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.17/1.56 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 1.17/1.56 ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ), ~(
% 1.17/1.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.17/1.56 'tc_nat' ) ) ],
% 1.17/1.56 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.17/1.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_nat' )
% 1.17/1.56 , 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ) ), ~(
% 1.17/1.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 1.17/1.56 'tc_nat' ) ) ],
% 1.17/1.56 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.17/1.56 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 1.17/1.56 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 1.17/1.56 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 1.17/1.56 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.17/1.56 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 1.17/1.56 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.17/1.56 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 1.17/1.56 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.17/1.56 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 1.17/1.56 ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ), ~(
% 1.17/1.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.17/1.56 'tc_nat' ) ) ],
% 1.17/1.56 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.17/1.56 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 1.17/1.56 ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ), ~(
% 1.17/1.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 1.17/1.56 'tc_nat' ) ) ],
% 1.17/1.56 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.17/1.56 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 1.17/1.56 X ), 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.17/1.56 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T,
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 1.17/1.56 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, T
% 1.17/1.56 , X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.17/1.56 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T,
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 1.17/1.56 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( T, Y
% 1.17/1.56 , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.17/1.56 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 1.17/1.56 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 1.17/1.56 ],
% 1.17/1.56 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 1.17/1.56 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.17/1.56 ],
% 1.17/1.56 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.17/1.56 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 1.17/1.56 ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.17/1.56 X ) ), =( Y, 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.17/1.56 ), X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.17/1.56 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.17/1.56 ],
% 1.17/1.56 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.17/1.56 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.17/1.56 ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.17/1.56 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 1.17/1.56 ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.17/1.56 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.17/1.56 ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.17/1.56 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 1.17/1.56 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~( 'c_lessequals'(
% 1.17/1.56 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.17/1.56 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( Z,
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( Y,
% 1.17/1.56 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.17/1.56 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.17/1.56 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~( 'c_lessequals'( Y,
% 1.17/1.56 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.17/1.56 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'( Z,
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.17/1.56 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ],
% 1.17/1.56 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.17/1.56 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 1.17/1.56 ), Y ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.17/1.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 1.17/1.56 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), T, X ), ~(
% 1.17/1.56 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.17/1.56 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 1.17/1.56 , Y, X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.17/1.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.17/1.56 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 1.17/1.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Z, X ) ), ~(
% 1.17/1.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.17/1.56 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.17/1.56 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.17/1.56 ), Y ) ],
% 1.17/1.56 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 1.17/1.56 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.17/1.56 ) ) ],
% 1.17/1.56 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 1.17/1.56 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.17/1.56 ) ) ],
% 1.17/1.56 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 1.17/1.56 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.17/1.56 ), Y ) ],
% 1.17/1.56 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.17/1.56 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.17/1.56 ), Y ) ],
% 1.17/1.56 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.17/1.56 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.17/1.56 X ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ) ],
% 1.17/1.56 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.17/1.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.17/1.56 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 1.17/1.56 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.17/1.56 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.17/1.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.17/1.56 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.56 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.17/1.56 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 1.17/1.56 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.17/1.56 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.17/1.56 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ) ]
% 1.17/1.56 ,
% 1.17/1.56 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 1.17/1.56 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.17/1.56 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.17/1.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 1.17/1.56 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 1.17/1.56 , X ) ) ],
% 1.17/1.56 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.17/1.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 1.17/1.56 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 1.17/1.56 , X ) ) ],
% 1.17/1.56 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.17/1.56 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 1.17/1.56 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.17/1.56 , X ) ) ],
% 1.17/1.56 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.17/1.56 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 1.17/1.56 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.17/1.56 , X ) ) ],
% 1.17/1.56 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.17/1.56 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 1.17/1.56 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 1.17/1.56 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.17/1.56 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 1.17/1.56 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 1.17/1.56 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.17/1.56 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 1.17/1.56 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.17/1.56 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.17/1.56 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 1.17/1.56 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.17/1.56 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.17/1.56 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_Suc'(
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Y, 'tc_nat' ) ), ~(
% 1.17/1.56 'c_HOL_Oord__class_Oless'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.17/1.56 ) ), X, 'tc_nat' ) ) ],
% 1.17/1.56 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Otimes__class_Otimes'( Y, X,
% 1.17/1.56 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_Suc'(
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Y, 'tc_nat' ) ), ~(
% 1.17/1.56 'c_HOL_Oord__class_Oless'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.17/1.56 ) ), X, 'tc_nat' ) ) ],
% 1.17/1.56 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.17/1.56 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.56 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), =(
% 1.17/1.56 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.17/1.56 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.56 Y, 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.17/1.56 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.17/1.56 Z, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'(
% 1.17/1.56 Z, X ), X ) ) ],
% 1.17/1.56 [ ~( 'c_lessequals'( 'c_Suc'( X ), X, 'tc_nat' ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), 'c_Int_Oiszero'(
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.17/1.56 [ ~( =( 'c_Complex_Oii', 'c_HOL_Ozero__class_Ozero'(
% 1.17/1.56 'tc_Complex_Ocomplex' ) ) ) ],
% 1.17/1.56 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.17/1.56 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.17/1.56 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.17/1.56 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.17/1.56 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.17/1.56 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 1.17/1.56 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 1.17/1.56 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =(
% 1.17/1.56 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.56 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.17/1.56 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.17/1.56 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 1.17/1.56 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.17/1.56 ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.56 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ), ~(
% 1.17/1.56 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.56 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.56 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.17/1.56 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.17/1.56 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 1.17/1.56 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.17/1.56 ), X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X )
% 1.17/1.56 , X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 1.17/1.56 ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.56 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.17/1.56 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.17/1.56 ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.17/1.56 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.17/1.56 ~( 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.17/1.56 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.17/1.56 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.17/1.56 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.17/1.56 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 1.17/1.56 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.17/1.56 X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.17/1.56 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.17/1.56 , X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 1.17/1.56 'c_Ring__and__Field_Odvd__class_Odvd'( Z, U, X ) ), ~(
% 1.17/1.56 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 1.17/1.56 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ],
% 1.17/1.56 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.17/1.56 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'(
% 1.17/1.56 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 1.17/1.56 X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.17/1.56 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.17/1.56 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 1.17/1.56 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.17/1.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.17/1.56 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ]
% 1.17/1.56 ,
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.17/1.56 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 1.17/1.56 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.17/1.56 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 1.17/1.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.17/1.56 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 1.17/1.56 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.17/1.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~(
% 1.17/1.56 'c_lessequals'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ]
% 1.17/1.56 ,
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.17/1.56 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.17/1.56 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.17/1.56 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ),
% 1.17/1.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.56 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.17/1.56 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.17/1.56 , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.17/1.56 , X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T,
% 1.17/1.56 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ),
% 1.17/1.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.56 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.56 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.17/1.56 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.17/1.56 , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.17/1.56 ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.17/1.56 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ),
% 1.17/1.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.56 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.17/1.56 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~( =(
% 1.17/1.56 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.17/1.56 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.56 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 1.17/1.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.56 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ) ]
% 1.17/1.56 ,
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.17/1.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.56 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.17/1.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.17/1.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.17/1.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.56 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.17/1.56 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Power_Opower__class_Opower'(
% 1.17/1.56 Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.17/1.56 'tc_nat' ), Z, 'tc_nat' ) ) ],
% 1.17/1.56 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.17/1.56 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.56 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 1.17/1.56 X ), X ) ) ],
% 1.17/1.56 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.17/1.56 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.17/1.56 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.56 Z, T, X ) ) ],
% 1.17/1.56 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.17/1.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.17/1.56 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.56 Z, T, X ) ) ],
% 1.17/1.56 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.17/1.56 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.56 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 1.17/1.56 X ), X ) ) ],
% 1.17/1.56 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.17/1.56 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.17/1.56 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.56 Y, T, X ) ) ],
% 1.17/1.56 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.17/1.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.17/1.56 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.56 Y, T, X ) ) ],
% 1.17/1.56 [ 'c_lessequals'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 1.17/1.56 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 1.17/1.56 'c_lessequals'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Y,
% 1.17/1.56 'tc_nat' ) ), ~( 'c_lessequals'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 1.17/1.56 'tc_nat' ) ), X, 'tc_nat' ) ) ],
% 1.17/1.56 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 1.17/1.56 ,
% 1.17/1.56 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 1.17/1.56 [ 'c_lessequals'( X, X, 'tc_nat' ) ],
% 1.17/1.56 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( Z, Y, 'tc_nat' )
% 1.17/1.56 ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 1.17/1.56 [ 'c_lessequals'( X, X, 'tc_nat' ) ],
% 1.17/1.56 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.17/1.56 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 1.17/1.56 , X ) ) ],
% 1.17/1.56 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.17/1.56 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 1.17/1.56 , X ) ) ],
% 1.17/1.56 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.17/1.56 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~(
% 1.17/1.56 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y,
% 1.17/1.56 'c_HOL_Oplus__class_Oplus'( Z, U, X ), X ) ) ],
% 1.17/1.56 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.17/1.56 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.17/1.56 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Power_Opower__class_Opower'( Y
% 1.17/1.56 , Z, X ), T, X ), ~( 'c_lessequals'( Z, U, 'tc_nat' ) ), ~(
% 1.17/1.56 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Power_Opower__class_Opower'( Y
% 1.17/1.56 , U, X ), T, X ) ) ],
% 1.17/1.56 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.17/1.56 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.17/1.56 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.17/1.56 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 1.17/1.56 ) ) ],
% 1.17/1.56 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.17/1.56 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 1.17/1.56 ) ) ],
% 1.17/1.56 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.17/1.56 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.17/1.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.17/1.56 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.56 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.17/1.56 [ 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ),
% 1.17/1.56 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), ~(
% 1.17/1.56 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Otimes__class_Otimes'( Y, X,
% 1.17/1.56 'tc_nat' ), 'tc_nat' ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.56 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.17/1.56 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.17/1.56 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.17/1.56 ), X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.17/1.56 , X ), ~( 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.56 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.56 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.17/1.56 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.17/1.56 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.17/1.56 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.56 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ),
% 1.17/1.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.56 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.17/1.56 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.17/1.56 , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.17/1.56 , X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T,
% 1.17/1.56 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ), ~(
% 1.17/1.56 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.17/1.56 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.17/1.56 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.17/1.56 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.17/1.56 , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.17/1.56 ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.17/1.56 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ), ~( 'c_lessequals'(
% 1.17/1.56 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.17/1.56 ), X ), Z, X ) ) ],
% 1.17/1.56 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) )
% 1.17/1.56 , ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 1.17/1.56 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.17/1.56 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.17/1.56 , X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.17/1.56 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.17/1.56 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 1.17/1.56 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.56 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.17/1.56 , Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.17/1.56 ) ],
% 1.17/1.56 [ ~( 'class_RealVector_Oreal__vector'( X ) ), ~( =(
% 1.17/1.56 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 1.17/1.56 'c_RealVector_OscaleR__class_OscaleR'( T, Z, X ) ) ), =( Z,
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, T ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =(
% 1.17/1.56 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.17/1.56 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.17/1.56 ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.17/1.56 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.56 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.17/1.56 , Y, X ), X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.17/1.56 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.17/1.56 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.56 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.17/1.56 , T, X ), X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.17/1.56 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.56 'c_HOL_Otimes__class_Otimes'( Z, T, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.17/1.56 , T, X ), X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.17/1.56 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.17/1.56 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.56 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.17/1.56 , Y, X ), X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.17/1.56 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.17/1.56 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 1.17/1.56 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), T, X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.17/1.56 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), 'c_lessequals'(
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Z, Y, X
% 1.17/1.56 ), X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.17/1.56 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ),
% 1.17/1.56 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.17/1.56 ), X ) ), 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.17/1.56 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ),
% 1.17/1.56 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.17/1.56 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ), ~( 'c_lessequals'(
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.17/1.56 ), X ) ) ],
% 1.17/1.56 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.17/1.56 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.17/1.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.56 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.17/1.56 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.17/1.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.56 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.56 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 1.17/1.56 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.17/1.56 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), =( U,
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.17/1.56 ), =( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 1.17/1.56 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 1.17/1.56 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.17/1.56 , U, X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( U,
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 1.17/1.56 , U, X ), 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ],
% 1.17/1.56 [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ), =(
% 1.17/1.56 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.17/1.56 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 1.17/1.56 'c_HOL_Osgn__class_Osgn'( Z, X ), X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.17/1.56 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.17/1.56 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 1.17/1.56 'c_HOL_Osgn__class_Osgn'( Z, X ), X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.17/1.56 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.17/1.56 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 1.17/1.56 ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.17/1.56 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 1.17/1.56 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.17/1.56 ],
% 1.17/1.56 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.17/1.56 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oabs__class_Oabs'(
% 1.17/1.56 Y, X ), X ) ],
% 1.17/1.56 [ 'c_lessequals'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 1.17/1.56 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 1.17/1.56 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( 'c_Suc'( X ),
% 1.17/1.56 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.17/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.17/1.56 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y, X ),
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.17/1.56 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ), ~(
% 1.17/1.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.17/1.56 ,
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.17/1.56 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ),
% 1.17/1.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ],
% 1.17/1.56 [ ~( =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 1.17/1.56 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ) ) ), =( Y,
% 1.17/1.56 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.17/1.56 [ ~( =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 1.17/1.56 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ) ) ), =( X,
% 1.17/1.56 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.17/1.56 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ) ) ),
% 1.17/1.56 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ],
% 1.17/1.56 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.17/1.56 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 1.17/1.56 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 1.17/1.56 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.17/1.56 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.17/1.56 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 1.17/1.56 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.17/1.56 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.17/1.56 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.17/1.56 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.17/1.56 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.17/1.56 'c_lessequals'( Z, Y, X ) ],
% 1.17/1.56 [ 'c_lessequals'( X, Y, 'tc_nat' ), 'c_lessequals'( Y, X, 'tc_nat' ) ]
% 1.17/1.56 ,
% 1.17/1.56 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.17/1.56 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.17/1.56 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.17/1.56 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.17/1.56 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 1.17/1.56 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.17/1.56 [ ~( =( 'c_FFT__Mirabelle_Oroot'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.17/1.56 'tc_Complex_Ocomplex' ) ) ) ],
% 1.17/1.56 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.17/1.56 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T,
% 1.17/1.56 'tc_nat' ), X ), 'c_Power_Opower__class_Opower'(
% 1.17/1.56 'c_Power_Opower__class_Opower'( Y, Z, X ), T, X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.17/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), ~( 'c_Int_Oiszero'(
% 1.17/1.56 'c_HOL_Oone__class_Oone'( X ), X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.17/1.56 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.17/1.56 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.17/1.56 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 1.17/1.56 Z, T, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.17/1.56 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.17/1.56 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 1.17/1.56 'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ), ~(
% 1.17/1.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.17/1.56 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.56 'c_Power_Opower__class_Opower'( T, Y, X ), 'c_Power_Opower__class_Opower'(
% 1.17/1.56 T, Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 1.17/1.56 X ), T, X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.17/1.56 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.17/1.56 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 1.17/1.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), ~(
% 1.17/1.56 'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.17/1.56 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.56 'c_Power_Opower__class_Opower'( T, Y, X ), 'c_Power_Opower__class_Opower'(
% 1.17/1.56 T, Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 1.17/1.56 X ), T, X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 'class_Int_Onumber'( X )
% 1.17/1.56 ), =( 'c_HOL_Oinverse__class_Oinverse'(
% 1.17/1.56 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.17/1.56 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ),
% 1.17/1.56 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.17/1.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.56 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 1.17/1.56 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.17/1.56 ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.17/1.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.17/1.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.56 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 1.17/1.56 ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 1.17/1.56 'c_Power_Opower__class_Opower'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.17/1.56 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ),
% 1.17/1.56 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'( X ), X ) ),
% 1.17/1.56 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 1.17/1.56 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 1.17/1.56 Y, T, X ) ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X
% 1.17/1.56 ), Y, X ) ), =( Z, T ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.17/1.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.17/1.56 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ), X ), ~(
% 1.17/1.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.17/1.56 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.17/1.56 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.17/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.17/1.56 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.17/1.56 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.17/1.56 [ =( 'c_Complex_Ocnj'( 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' )
% 1.17/1.56 ), 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ) ) ],
% 1.17/1.56 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.17/1.56 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 1.17/1.56 X ), Y ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.17/1.56 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 1.17/1.56 X ), Y ) ],
% 1.17/1.56 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.17/1.56 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.17/1.56 Y, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'(
% 1.17/1.56 Y, Z, X ), X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), =(
% 1.17/1.56 'c_Power_Opower__class_Opower'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z
% 1.17/1.56 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'(
% 1.17/1.56 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'( X ), X ), Z, X
% 1.17/1.56 ), 'c_Power_Opower__class_Opower'( Y, Z, X ), X ) ) ],
% 1.17/1.56 [ ~( =( 'c_Complex_Oii', 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex'
% 1.17/1.56 ) ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.17/1.56 'c_HOL_Oone__class_Oone'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X )
% 1.17/1.56 , X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.17/1.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.17/1.56 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.17/1.56 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.17/1.56 ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.17/1.56 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.17/1.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.17/1.56 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.17/1.56 ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.17/1.56 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.17/1.56 X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.17/1.56 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.17/1.56 'c_HOL_Oinverse__class_Odivide'( 'c_RealVector_OscaleR__class_OscaleR'( Y
% 1.17/1.56 , Z, X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 1.17/1.56 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.17/1.56 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.17/1.56 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 1.17/1.56 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.17/1.56 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 1.17/1.56 Y, T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X )
% 1.17/1.56 ), ~( 'c_lessequals'( Z, T, 'tc_nat' ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 1.17/1.56 'c_Power_Opower__class_Opower'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.17/1.56 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.17/1.56 ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.17/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.17/1.56 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.17/1.56 ,
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.17/1.56 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y
% 1.17/1.56 ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.17/1.56 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 1.17/1.56 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.17/1.56 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ), X
% 1.17/1.56 ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.17/1.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.17/1.56 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.17/1.56 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ), Z
% 1.17/1.56 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.17/1.56 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.17/1.56 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.17/1.56 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.17/1.56 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.17/1.56 X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.17/1.56 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.17/1.56 ), X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.17/1.56 Y, X ), Z, X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.17/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.17/1.56 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.17/1.56 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.17/1.56 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 1.17/1.56 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.17/1.56 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, Z ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.17/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.17/1.56 'c_HOL_Oinverse__class_Oinverse'( 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.17/1.56 ), X ), 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'(
% 1.17/1.56 Y, X ), Z, X ) ) ],
% 1.17/1.56 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 1.17/1.56 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.17/1.56 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 1.17/1.56 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.17/1.56 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.17/1.56 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 1.17/1.56 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.17/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.17/1.56 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Odivide'( Y, Z,
% 1.17/1.56 X ), X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.17/1.56 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.17/1.56 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.17/1.56 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 1.17/1.56 , Y, X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.17/1.56 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.17/1.56 , X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.17/1.56 [ ~( 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'( Y,
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'( X
% 1.17/1.56 ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.17/1.56 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oone__class_Oone'( X ), Y,
% 1.17/1.56 X ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~(
% 1.17/1.56 =( 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 1.17/1.56 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.17/1.56 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.17/1.56 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.17/1.56 ), ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.17/1.56 ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.17/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.17/1.56 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.17/1.56 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 1.17/1.56 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, T, X )
% 1.17/1.56 , 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.17/1.56 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.17/1.56 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.17/1.56 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 1.17/1.56 , Y, X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.17/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.17/1.56 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.17/1.56 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.17/1.56 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 1.17/1.56 Z, T, X ), X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.17/1.56 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.17/1.56 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.17/1.56 [ =( 'c_Power_Opower__class_Opower'( 'c_FFT__Mirabelle_Oroot'( X ), X,
% 1.17/1.56 'tc_Complex_Ocomplex' ), 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex'
% 1.17/1.56 ) ) ],
% 1.17/1.56 [ =( 'c_Complex_Ocnj'( 'c_HOL_Oinverse__class_Odivide'( X, Y,
% 1.17/1.56 'tc_Complex_Ocomplex' ) ), 'c_HOL_Oinverse__class_Odivide'(
% 1.17/1.56 'c_Complex_Ocnj'( X ), 'c_Complex_Ocnj'( Y ), 'tc_Complex_Ocomplex' ) ) ]
% 1.17/1.56 ,
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 1.17/1.56 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.17/1.56 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 1.17/1.56 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.17/1.56 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.17/1.56 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.17/1.56 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 1.17/1.56 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.17/1.56 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.17/1.56 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oone__class_Oone'( X ),
% 1.17/1.56 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 1.17/1.56 ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.17/1.56 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ), ~( 'c_lessequals'(
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.17/1.56 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.17/1.56 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.17/1.56 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.17/1.56 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Oinverse'( Y
% 1.17/1.56 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y
% 1.17/1.56 , X ) ) ],
% 1.17/1.56 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.17/1.56 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 1.17/1.56 ],
% 1.17/1.56 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.17/1.56 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.17/1.56 ],
% 1.17/1.56 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 1.17/1.56 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.17/1.56 ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.17/1.56 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.17/1.56 ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.17/1.56 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 1.17/1.56 ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.17/1.56 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.17/1.56 ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.17/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.17/1.56 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ),
% 1.17/1.56 'c_Power_Opower__class_Opower'( Y, Z, X ), X ),
% 1.17/1.56 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'(
% 1.17/1.56 'c_HOL_Oone__class_Oone'( X ), Y, X ), Z, X ) ) ],
% 1.17/1.56 [ =( 'c_Power_Opower__class_Opower'( 'c_FFT__Mirabelle_Oroot'(
% 1.17/1.56 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ) ),
% 1.17/1.56 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_Complex_Ocomplex' ),
% 1.17/1.56 'c_Power_Opower__class_Opower'( 'c_FFT__Mirabelle_Oroot'( Y ), Z,
% 1.17/1.56 'tc_Complex_Ocomplex' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.17/1.56 'c_Power_Opower__class_Opower'( 'c_Power_Opower__class_Opower'( Y, Z, X )
% 1.17/1.56 , T, X ), 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.56 Z, T, 'tc_nat' ), X ) ) ],
% 1.17/1.56 [ 'c_HOL_Oord__class_Oless'( 'v_k', 'v_n', 'tc_nat' ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.17/1.56 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 1.17/1.56 , Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.17/1.56 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.17/1.56 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.17/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.17/1.56 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.17/1.56 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.17/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.17/1.56 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.17/1.56 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 1.17/1.56 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ],
% 1.17/1.56 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.17/1.56 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.17/1.56 Z, X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.17/1.56 Y, Z, X ), X ) ) ],
% 1.17/1.56 [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), =(
% 1.17/1.56 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.17/1.56 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.17/1.56 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.17/1.56 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.17/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.17/1.56 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.17/1.56 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.17/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.17/1.56 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.17/1.56 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.56 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.17/1.56 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.17/1.56 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.17/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 1.17/1.56 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 1.17/1.56 ), =( Y, 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.17/1.56 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'( Y, Z, X ), X )
% 1.17/1.56 , 'c_Power_Opower__class_Opower'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X
% 1.17/1.56 ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.17/1.56 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Power_Opower__class_Opower'( Y
% 1.17/1.56 , Z, X ), 'c_Power_Opower__class_Opower'( T, Z, X ), X ), ~(
% 1.17/1.56 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.17/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.17/1.56 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 1.17/1.56 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.17/1.56 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.17/1.56 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.17/1.56 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.17/1.56 , T, X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.17/1.56 Y, T, X ), Z, X ) ) ],
% 1.17/1.56 [ =( 'c_Complex_Ocnj'( 'c_Power_Opower__class_Opower'( X, Y,
% 1.17/1.56 'tc_Complex_Ocomplex' ) ), 'c_Power_Opower__class_Opower'(
% 1.17/1.56 'c_Complex_Ocnj'( X ), Y, 'tc_Complex_Ocomplex' ) ) ],
% 1.17/1.56 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.17/1.56 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 1.17/1.56 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 1.17/1.56 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.17/1.56 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.17/1.56 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 1.17/1.56 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 1.17/1.56 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.17/1.56 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.17/1.56 'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 1.17/1.56 ],
% 1.17/1.56 [ =( 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'(
% 1.17/1.56 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ),
% 1.17/1.56 'c_FFT__Mirabelle_Oroot'( 'v_n' ), 'tc_Complex_Ocomplex' ), 'v_k',
% 1.17/1.56 'tc_Complex_Ocomplex' ), 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex'
% 1.17/1.56 ) ) ],
% 1.17/1.56 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 1.17/1.56 ],
% 1.17/1.56 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 1.17/1.56 ) ],
% 1.17/1.56 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 1.17/1.56 ],
% 1.17/1.56 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_nat' ) ]
% 1.17/1.56 ,
% 1.17/1.56 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 1.17/1.56 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 1.17/1.56 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 1.17/1.56 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 1.17/1.56 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 1.17/1.56 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' ) ],
% 1.17/1.56 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_nat' ) ],
% 1.17/1.56 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 1.17/1.56 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 1.17/1.56 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 1.17/1.56 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 1.17/1.56 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 1.17/1.56 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 1.17/1.56 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 1.17/1.56 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 1.17/1.56 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 1.17/1.56 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ],
% 1.17/1.56 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ],
% 1.17/1.56 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_nat' ) ],
% 1.17/1.56 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 1.17/1.56 [ 'class_Ring__and__Field_Omult__mono'( 'tc_nat' ) ],
% 1.17/1.56 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 1.17/1.56 [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 1.17/1.56 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 1.17/1.56 [ 'class_Divides_Osemiring__div'( 'tc_nat' ) ],
% 1.17/1.56 [ 'class_Ring__and__Field_Odvd'( 'tc_nat' ) ],
% 1.17/1.56 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 1.17/1.56 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 1.17/1.56 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 1.17/1.56 [ 'class_Power_Opower'( 'tc_nat' ) ],
% 1.17/1.56 [ 'class_Int_Onumber'( 'tc_nat' ) ],
% 1.17/1.56 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 1.17/1.56 'tc_Int_Oint' ) ],
% 1.17/1.56 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 1.17/1.56 'tc_Int_Oint' ) ],
% 1.17/1.56 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 1.17/1.56 'tc_Int_Oint' ) ],
% 1.17/1.56 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_Int_Oint' )
% 1.17/1.56 ],
% 1.17/1.56 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'( 'tc_Int_Oint' )
% 1.17/1.56 ],
% 1.17/1.56 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_Int_Oint' ) ]
% 1.17/1.56 ,
% 1.17/1.56 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_Int_Oint' ) ]
% 1.17/1.56 ,
% 1.17/1.56 [ 'class_OrderedGroup_Opordered__ab__group__add__abs'( 'tc_Int_Oint' ) ]
% 1.17/1.56 ,
% 1.17/1.56 [ 'class_OrderedGroup_Olordered__ab__group__add__abs'( 'tc_Int_Oint' ) ]
% 1.17/1.56 ,
% 1.17/1.56 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_Int_Oint' ) ]
% 1.17/1.56 ,
% 1.17/1.56 [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_Int_Oint' ) ]
% 1.17/1.56 ,
% 1.17/1.56 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_Int_Oint' ) ]
% 1.17/1.56 ,
% 1.17/1.56 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_Int_Oint' ) ]
% 1.17/1.56 ,
% 1.17/1.56 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.17/1.56 [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.17/1.56 [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.17/1.56 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Int_Oint' ) ],
% 1.17/1.56 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_Int_Oint' ) ],
% 1.17/1.56 [ 'class_Ring__and__Field_Opordered__ring__abs'( 'tc_Int_Oint' ) ],
% 1.17/1.56 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_Int_Oint' ) ],
% 1.17/1.56 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Int_Oint' ) ],
% 1.17/1.56 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_Int_Oint' ) ],
% 1.17/1.56 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Int_Oint' ) ],
% 1.17/1.56 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Int_Oint' ) ],
% 1.17/1.56 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Int_Oint' ) ],
% 1.17/1.56 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Int_Oint' ) ],
% 1.17/1.56 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_Int_Oint' ) ],
% 1.17/1.56 [ 'class_Ring__and__Field_Olordered__ring'( 'tc_Int_Oint' ) ],
% 1.17/1.56 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Int_Oint' ) ],
% 1.17/1.56 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Int_Oint' ) ],
% 1.17/1.56 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Int_Oint' ) ],
% 1.17/1.56 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_Int_Oint' ) ],
% 1.17/1.56 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Int_Oint' ) ],
% 1.17/1.56 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_Int_Oint' ) ],
% 1.17/1.56 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_Int_Oint' ) ],
% 1.17/1.56 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_Int_Oint' ) ],
% 1.17/1.56 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Int_Oint' ) ],
% 1.17/1.56 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Int_Oint' ) ],
% 1.17/1.56 [ 'class_Ring__and__Field_Omult__mono'( 'tc_Int_Oint' ) ],
% 1.17/1.56 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_Int_Oint' ) ],
% 1.17/1.56 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Int_Oint' ) ],
% 1.17/1.56 [ 'class_Ring__and__Field_Osemiring'( 'tc_Int_Oint' ) ],
% 1.17/1.56 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Int_Oint' ) ],
% 1.17/1.56 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Int_Oint' ) ],
% 1.17/1.56 [ 'class_Ring__and__Field_Osgn__if'( 'tc_Int_Oint' ) ],
% 1.17/1.56 [ 'class_Ring__and__Field_Oring__1'( 'tc_Int_Oint' ) ],
% 1.17/1.56 [ 'class_Ring__and__Field_Oabs__if'( 'tc_Int_Oint' ) ],
% 1.17/1.56 [ 'class_Divides_Osemiring__div'( 'tc_Int_Oint' ) ],
% 1.17/1.56 [ 'class_Ring__and__Field_Oring'( 'tc_Int_Oint' ) ],
% 1.17/1.56 [ 'class_Ring__and__Field_Oidom'( 'tc_Int_Oint' ) ],
% 1.17/1.56 [ 'class_Ring__and__Field_Odvd'( 'tc_Int_Oint' ) ],
% 1.17/1.56 [ 'class_Orderings_Opreorder'( 'tc_Int_Oint' ) ],
% 1.17/1.56 [ 'class_Orderings_Olinorder'( 'tc_Int_Oint' ) ],
% 1.17/1.56 [ 'class_Divides_Oring__div'( 'tc_Int_Oint' ) ],
% 1.17/1.56 [ 'class_Orderings_Oorder'( 'tc_Int_Oint' ) ],
% 1.17/1.56 [ 'class_Int_Oring__char__0'( 'tc_Int_Oint' ) ],
% 1.17/1.56 [ 'class_Int_Onumber__ring'( 'tc_Int_Oint' ) ],
% 1.17/1.56 [ 'class_Power_Opower'( 'tc_Int_Oint' ) ],
% 1.17/1.56 [ 'class_Int_Onumber'( 'tc_Int_Oint' ) ],
% 1.17/1.56 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 1.17/1.56 'tc_RealDef_Oreal' ) ],
% 1.17/1.56 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 1.17/1.56 'tc_RealDef_Oreal' ) ],
% 1.17/1.56 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 1.17/1.56 'tc_RealDef_Oreal' ) ],
% 1.17/1.56 [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 1.17/1.56 'tc_RealDef_Oreal' ) ],
% 1.17/1.56 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 1.17/1.56 'tc_RealDef_Oreal' ) ],
% 1.17/1.56 [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 1.17/1.56 'tc_RealDef_Oreal' ) ],
% 1.17/1.56 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_RealDef_Oreal'
% 1.17/1.56 ) ],
% 1.17/1.56 [ 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 1.17/1.56 'tc_RealDef_Oreal' ) ],
% 1.17/1.56 [ 'class_OrderedGroup_Olordered__ab__group__add__abs'(
% 1.17/1.56 'tc_RealDef_Oreal' ) ],
% 1.17/1.56 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_RealDef_Oreal'
% 1.17/1.56 ) ],
% 1.17/1.56 [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_RealDef_Oreal'
% 1.17/1.56 ) ],
% 1.17/1.56 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_RealDef_Oreal' )
% 1.17/1.56 ],
% 1.17/1.56 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_RealDef_Oreal' )
% 1.17/1.56 ],
% 1.17/1.56 [ 'class_RealVector_Oreal__normed__div__algebra'( 'tc_RealDef_Oreal' ) ]
% 1.17/1.56 ,
% 1.17/1.56 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 1.17/1.56 ,
% 1.17/1.56 [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 1.17/1.56 ,
% 1.17/1.56 [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 1.17/1.56 ,
% 1.17/1.56 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_RealDef_Oreal' ) ]
% 1.17/1.56 ,
% 1.17/1.56 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_RealDef_Oreal' ) ]
% 1.17/1.56 ,
% 1.17/1.56 [ 'class_Ring__and__Field_Opordered__ring__abs'( 'tc_RealDef_Oreal' ) ]
% 1.17/1.56 ,
% 1.17/1.56 [ 'class_RealVector_Oreal__normed__algebra__1'( 'tc_RealDef_Oreal' ) ]
% 1.17/1.56 ,
% 1.17/1.56 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_RealDef_Oreal' ) ]
% 1.17/1.56 ,
% 1.17/1.56 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_RealDef_Oreal' ) ]
% 1.17/1.56 ,
% 1.17/1.56 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_RealDef_Oreal' ) ]
% 1.17/1.56 ,
% 1.17/1.56 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_RealDef_Oreal' ) ]
% 1.17/1.56 ,
% 1.17/1.56 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_RealDef_Oreal' ) ]
% 1.17/1.56 ,
% 1.17/1.56 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_RealDef_Oreal' ) ],
% 1.17/1.56 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_RealDef_Oreal' ) ],
% 1.17/1.56 [ 'class_RealVector_Oreal__normed__vector'( 'tc_RealDef_Oreal' ) ],
% 1.17/1.56 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_RealDef_Oreal' ) ],
% 1.17/1.56 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_RealDef_Oreal' ) ],
% 1.17/1.56 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_RealDef_Oreal' ) ],
% 1.17/1.56 [ 'class_Ring__and__Field_Oordered__field'( 'tc_RealDef_Oreal' ) ],
% 1.17/1.56 [ 'class_Ring__and__Field_Olordered__ring'( 'tc_RealDef_Oreal' ) ],
% 1.17/1.56 [ 'class_Ring__and__Field_Odivision__ring'( 'tc_RealDef_Oreal' ) ],
% 1.17/1.56 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_RealDef_Oreal' ) ],
% 1.17/1.56 [ 'class_RealVector_Oreal__normed__field'( 'tc_RealDef_Oreal' ) ],
% 1.17/1.56 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_RealDef_Oreal' ) ],
% 1.17/1.56 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_RealDef_Oreal' ) ],
% 1.17/1.56 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_RealDef_Oreal' ) ],
% 1.17/1.56 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_RealDef_Oreal' ) ],
% 1.17/1.56 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_RealDef_Oreal' ) ],
% 1.17/1.56 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_RealDef_Oreal' ) ],
% 1.17/1.56 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_RealDef_Oreal' ) ],
% 1.17/1.56 [ 'class_OrderedGroup_Oab__group__add'( 'tc_RealDef_Oreal' ) ],
% 1.17/1.56 [ 'class_Ring__and__Field_Omult__zero'( 'tc_RealDef_Oreal' ) ],
% 1.17/1.56 [ 'class_Ring__and__Field_Omult__mono'( 'tc_RealDef_Oreal' ) ],
% 1.17/1.56 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_RealDef_Oreal' ) ],
% 1.17/1.56 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_RealDef_Oreal' ) ],
% 1.17/1.56 [ 'class_Ring__and__Field_Osemiring'( 'tc_RealDef_Oreal' ) ],
% 1.17/1.56 [ 'class_RealVector_Oreal__algebra'( 'tc_RealDef_Oreal' ) ],
% 1.17/1.56 [ 'class_OrderedGroup_Omonoid__add'( 'tc_RealDef_Oreal' ) ],
% 1.17/1.56 [ 'class_RealVector_Oreal__vector'( 'tc_RealDef_Oreal' ) ],
% 1.17/1.56 [ 'class_OrderedGroup_Ogroup__add'( 'tc_RealDef_Oreal' ) ],
% 1.17/1.56 [ 'class_Ring__and__Field_Osgn__if'( 'tc_RealDef_Oreal' ) ],
% 1.17/1.56 [ 'class_Ring__and__Field_Oring__1'( 'tc_RealDef_Oreal' ) ],
% 1.17/1.56 [ 'class_Ring__and__Field_Oabs__if'( 'tc_RealDef_Oreal' ) ],
% 1.17/1.56 [ 'class_RealVector_Oreal__field'( 'tc_RealDef_Oreal' ) ],
% 1.17/1.56 [ 'class_Ring__and__Field_Ofield'( 'tc_RealDef_Oreal' ) ],
% 1.17/1.56 [ 'class_Ring__and__Field_Oring'( 'tc_RealDef_Oreal' ) ],
% 1.17/1.56 [ 'class_Ring__and__Field_Oidom'( 'tc_RealDef_Oreal' ) ],
% 1.17/1.56 [ 'class_Ring__and__Field_Odvd'( 'tc_RealDef_Oreal' ) ],
% 1.17/1.56 [ 'class_Orderings_Opreorder'( 'tc_RealDef_Oreal' ) ],
% 1.17/1.56 [ 'class_Orderings_Olinorder'( 'tc_RealDef_Oreal' ) ],
% 1.17/1.56 [ 'class_Orderings_Oorder'( 'tc_RealDef_Oreal' ) ],
% 1.17/1.56 [ 'class_Int_Oring__char__0'( 'tc_RealDef_Oreal' ) ],
% 1.17/1.56 [ 'class_Int_Onumber__ring'( 'tc_RealDef_Oreal' ) ],
% 1.17/1.56 [ 'class_Power_Opower'( 'tc_RealDef_Oreal' ) ],
% 1.17/1.56 [ 'class_Int_Onumber'( 'tc_RealDef_Oreal' ) ],
% 1.17/1.56 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 1.17/1.56 'tc_Complex_Ocomplex' ) ],
% 1.17/1.56 [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 1.17/1.56 'tc_Complex_Ocomplex' ) ],
% 1.17/1.56 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 1.17/1.56 'tc_Complex_Ocomplex' ) ],
% 1.17/1.56 [ 'class_RealVector_Oreal__normed__div__algebra'( 'tc_Complex_Ocomplex'
% 1.17/1.56 ) ],
% 1.17/1.56 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Complex_Ocomplex' )
% 1.17/1.56 ],
% 1.17/1.56 [ 'class_RealVector_Oreal__normed__algebra__1'( 'tc_Complex_Ocomplex' )
% 1.17/1.56 ],
% 1.17/1.56 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Complex_Ocomplex' )
% 1.17/1.56 ],
% 1.17/1.56 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_Complex_Ocomplex' )
% 1.17/1.56 ],
% 1.17/1.56 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Complex_Ocomplex' ) ]
% 1.17/1.56 ,
% 1.17/1.56 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_Complex_Ocomplex' ) ]
% 1.17/1.56 ,
% 1.17/1.56 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Complex_Ocomplex' ) ]
% 1.17/1.56 ,
% 1.17/1.56 [ 'class_RealVector_Oreal__normed__vector'( 'tc_Complex_Ocomplex' ) ]
% 1.17/1.56 ,
% 1.17/1.56 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Complex_Ocomplex' ) ]
% 1.17/1.56 ,
% 1.17/1.56 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Complex_Ocomplex' ) ]
% 1.17/1.56 ,
% 1.17/1.56 [ 'class_Ring__and__Field_Odivision__ring'( 'tc_Complex_Ocomplex' ) ]
% 1.17/1.56 ,
% 1.17/1.56 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Complex_Ocomplex' ) ]
% 1.17/1.56 ,
% 1.17/1.56 [ 'class_RealVector_Oreal__normed__field'( 'tc_Complex_Ocomplex' ) ]
% 1.17/1.56 ,
% 1.17/1.56 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Complex_Ocomplex' ) ]
% 1.17/1.56 ,
% 1.17/1.56 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Complex_Ocomplex' ) ]
% 1.17/1.56 ,
% 1.17/1.56 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Complex_Ocomplex' ) ]
% 1.17/1.56 ,
% 1.17/1.56 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_Complex_Ocomplex' ) ],
% 1.17/1.56 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_Complex_Ocomplex' ) ],
% 1.17/1.56 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Complex_Ocomplex' ) ],
% 1.17/1.56 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Complex_Ocomplex' ) ],
% 1.17/1.56 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_Complex_Ocomplex' ) ],
% 1.17/1.56 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Complex_Ocomplex' ) ],
% 1.17/1.56 [ 'class_Ring__and__Field_Osemiring'( 'tc_Complex_Ocomplex' ) ],
% 1.17/1.56 [ 'class_RealVector_Oreal__algebra'( 'tc_Complex_Ocomplex' ) ],
% 1.17/1.56 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Complex_Ocomplex' ) ],
% 1.17/1.56 [ 'class_RealVector_Oreal__vector'( 'tc_Complex_Ocomplex' ) ],
% 1.17/1.56 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Complex_Ocomplex' ) ],
% 1.17/1.56 [ 'class_Ring__and__Field_Oring__1'( 'tc_Complex_Ocomplex' ) ],
% 1.17/1.56 [ 'class_RealVector_Oreal__field'( 'tc_Complex_Ocomplex' ) ],
% 1.17/1.56 [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex' ) ],
% 1.17/1.56 [ 'class_Ring__and__Field_Oring'( 'tc_Complex_Ocomplex' ) ],
% 1.17/1.56 [ 'class_Ring__and__Field_Oidom'( 'tc_Complex_Ocomplex' ) ],
% 1.17/1.56 [ 'class_Ring__and__Field_Odvd'( 'tc_Complex_Ocomplex' ) ],
% 1.17/1.56 [ 'class_Int_Oring__char__0'( 'tc_Complex_Ocomplex' ) ],
% 1.17/1.56 [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ],
% 1.17/1.56 [ 'class_Power_Opower'( 'tc_Complex_Ocomplex' ) ],
% 1.17/1.56 [ 'class_Int_Onumber'( 'tc_Complex_Ocomplex' ) ]
% 1.17/1.56 ] .
% 1.17/1.56
% 1.17/1.56
% 1.17/1.56 percentage equality = 0.174180, percentage horn = 0.823843
% 1.17/1.56 This is a problem with some equality
% 1.17/1.56
% 1.17/1.56
% 1.17/1.56
% 1.17/1.56 Options Used:
% 1.17/1.56
% 1.17/1.56 useres = 1
% 1.17/1.56 useparamod = 1
% 1.17/1.56 useeqrefl = 1
% 1.17/1.56 useeqfact = 1
% 1.17/1.56 usefactor = 1
% 1.17/1.56 usesimpsplitting = 0
% 1.17/1.56 usesimpdemod = 5
% 1.17/1.56 usesimpres = 3
% 1.17/1.56
% 1.17/1.56 resimpinuse = 1000
% 1.17/1.56 resimpclauses = 20000
% 1.17/1.56 substype = eqrewr
% 1.17/1.56 backwardsubs = 1
% 1.17/1.56 selectoldest = 5
% 1.17/1.56
% 1.17/1.56 litorderings [0] = split
% 1.17/1.56 litorderings [1] = extend the termordering, first sorting on arguments
% 1.17/1.56
% 1.17/1.56 termordering = kbo
% 1.17/1.56
% 1.17/1.56 litapriori = 0
% 1.17/1.56 termapriori = 1
% 1.17/1.56 litaposteriori = 0
% 1.17/1.56 termaposteriori = 0
% 1.17/1.56 demodaposteriori = 0
% 1.17/1.56 ordereqreflfact = 0
% 1.17/1.56
% 1.17/1.56 litselect = negord
% 1.17/1.56
% 1.17/1.56 maxweight = 15
% 1.17/1.56 maxdepth = 30000
% 1.17/1.56 maxlength = 115
% 1.17/1.56 maxnrvars = 195
% 1.17/1.56 excuselevel = 1
% 1.17/1.56 increasemaxweight = 1
% 1.17/1.56
% 1.17/1.56 maxselected = 10000000
% 1.17/1.56 maxnrclauses = 10000000
% 1.17/1.56
% 1.17/1.56 showgenerated = 0
% 1.17/1.56 showkept = 0
% 1.17/1.56 showselected = 0
% 1.17/1.56 showdeleted = 0
% 1.17/1.56 showresimp = 1
% 1.17/1.56 showstatus = 2000
% 1.17/1.56
% 1.17/1.56 prologoutput = 1
% 1.17/1.56 nrgoals = 5000000
% 1.17/1.56 totalproof = 1
% 1.17/1.56
% 1.17/1.56 Symbols occurring in the translation:
% 1.17/1.56
% 1.17/1.56 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.17/1.56 . [1, 2] (w:1, o:137, a:1, s:1, b:0),
% 1.17/1.56 ! [4, 1] (w:0, o:54, a:1, s:1, b:0),
% 1.17/1.56 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.17/1.56 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.17/1.56 'class_Ring__and__Field_Oordered__field' [40, 1] (w:1, o:62, a:1, s:1
% 1.17/1.56 , b:0),
% 1.17/1.56 'class_Ring__and__Field_Odivision__by__zero' [41, 1] (w:1, o:67, a:1
% 1.17/1.56 , s:1, b:0),
% 1.17/1.56 'c_HOL_Oinverse__class_Odivide' [44, 3] (w:1, o:169, a:1, s:1, b:0),
% 1.17/1.56
% 1.17/1.56 'c_lessequals' [46, 3] (w:1, o:170, a:1, s:1, b:0),
% 1.17/1.56 'c_HOL_Ozero__class_Ozero' [47, 1] (w:1, o:68, a:1, s:1, b:0),
% 1.17/1.56 'class_Orderings_Oorder' [48, 1] (w:1, o:69, a:1, s:1, b:0),
% 1.17/1.56 'c_HOL_Oord__class_Oless' [49, 3] (w:1, o:171, a:1, s:1, b:0),
% 1.17/1.56 'class_Orderings_Olinorder' [50, 1] (w:1, o:70, a:1, s:1, b:0),
% 1.17/1.56 'tc_nat' [55, 0] (w:1, o:26, a:1, s:1, b:0),
% 1.17/1.56 'class_Ring__and__Field_Odvd' [56, 1] (w:1, o:71, a:1, s:1, b:0),
% 1.17/1.56 'class_Ring__and__Field_Ocomm__ring' [57, 1] (w:1, o:63, a:1, s:1, b:
% 1.17/1.56 0),
% 1.17/1.56 'c_HOL_Oplus__class_Oplus' [60, 3] (w:1, o:172, a:1, s:1, b:0),
% 1.17/1.56 'c_Ring__and__Field_Odvd__class_Odvd' [61, 3] (w:1, o:173, a:1, s:1
% 1.17/1.56 , b:0),
% 1.17/1.56 'c_HOL_Otimes__class_Otimes' [64, 3] (w:1, o:174, a:1, s:1, b:0),
% 1.17/1.56 'c_HOL_Ominus__class_Ominus' [65, 3] (w:1, o:175, a:1, s:1, b:0),
% 1.17/1.56 'class_OrderedGroup_Opordered__ab__group__add' [66, 1] (w:1, o:73, a:
% 1.17/1.56 1, s:1, b:0),
% 1.17/1.56 'class_Int_Onumber' [69, 1] (w:1, o:74, a:1, s:1, b:0),
% 1.17/1.56 'c_Int_Onumber__class_Onumber__of' [71, 2] (w:1, o:166, a:1, s:1, b:0
% 1.17/1.56 ),
% 1.17/1.56 'c_Suc' [72, 1] (w:1, o:75, a:1, s:1, b:0),
% 1.17/1.56 'c_HOL_Oinverse__class_Oinverse' [73, 2] (w:1, o:162, a:1, s:1, b:0)
% 1.17/1.56 ,
% 1.17/1.56 'class_Ring__and__Field_Odivision__ring' [74, 1] (w:1, o:76, a:1, s:1
% 1.17/1.56 , b:0),
% 1.17/1.56 'class_Ring__and__Field_Oordered__idom' [75, 1] (w:1, o:77, a:1, s:1
% 1.17/1.56 , b:0),
% 1.17/1.56 'c_Power_Opower__class_Opower' [76, 3] (w:1, o:176, a:1, s:1, b:0),
% 1.17/1.56 'c_Parity_Oeven__odd__class_Oeven' [77, 2] (w:1, o:167, a:1, s:1, b:0
% 1.17/1.56 ),
% 1.17/1.56 'class_Ring__and__Field_Oordered__semiring__strict' [80, 1] (w:1, o:
% 1.17/1.56 79, a:1, s:1, b:0),
% 1.17/1.56 'class_OrderedGroup_Oab__semigroup__idem__mult' [81, 1] (w:1, o:80
% 1.17/1.56 , a:1, s:1, b:0),
% 1.17/1.56 'c_HOL_Oone__class_Oone' [83, 1] (w:1, o:81, a:1, s:1, b:0),
% 1.17/1.56 'class_Ring__and__Field_Oordered__ring__strict' [84, 1] (w:1, o:78
% 1.17/1.56 , a:1, s:1, b:0),
% 1.17/1.56 'class_Ring__and__Field_Oidom' [85, 1] (w:1, o:82, a:1, s:1, b:0),
% 1.17/1.56 'class_Int_Onumber__ring' [86, 1] (w:1, o:83, a:1, s:1, b:0),
% 1.17/1.56 'class_Ring__and__Field_Opordered__ring' [88, 1] (w:1, o:87, a:1, s:1
% 1.17/1.56 , b:0),
% 1.17/1.56 'class_Ring__and__Field_Omult__mono' [89, 1] (w:1, o:88, a:1, s:1, b:
% 1.17/1.56 0),
% 1.17/1.56 'class_Ring__and__Field_Omult__mono1' [90, 1] (w:1, o:89, a:1, s:1
% 4.12/4.52 , b:0),
% 4.12/4.52 'class_RealVector_Oreal__normed__field' [91, 1] (w:1, o:90, a:1, s:1
% 4.12/4.52 , b:0),
% 4.12/4.52 'c_HOL_Ouminus__class_Ouminus' [93, 2] (w:1, o:163, a:1, s:1, b:0),
% 4.12/4.52 'class_Ring__and__Field_Oordered__semidom' [94, 1] (w:1, o:84, a:1
% 4.12/4.52 , s:1, b:0),
% 4.12/4.52 'class_Ring__and__Field_Ocomm__semiring__1' [95, 1] (w:1, o:65, a:1
% 4.12/4.52 , s:1, b:0),
% 4.12/4.52 'class_OrderedGroup_Ogroup__add' [96, 1] (w:1, o:91, a:1, s:1, b:0),
% 4.12/4.52
% 4.12/4.52 'class_OrderedGroup_Opordered__ab__group__add__abs' [97, 1] (w:1, o:
% 4.12/4.52 92, a:1, s:1, b:0),
% 4.12/4.52 'c_HOL_Oabs__class_Oabs' [98, 2] (w:1, o:164, a:1, s:1, b:0),
% 4.12/4.52 'class_Divides_Osemiring__div' [99, 1] (w:1, o:94, a:1, s:1, b:0),
% 4.12/4.52 'c_Divides_Odiv__class_Odiv' [100, 3] (w:1, o:177, a:1, s:1, b:0),
% 4.12/4.52 'class_Ring__and__Field_Osemiring__0' [101, 1] (w:1, o:99, a:1, s:1
% 4.12/4.52 , b:0),
% 4.12/4.52 'class_Power_Opower' [102, 1] (w:1, o:116, a:1, s:1, b:0),
% 4.12/4.52 'class_Ring__and__Field_Ozero__neq__one' [103, 1] (w:1, o:117, a:1
% 4.12/4.52 , s:1, b:0),
% 4.12/4.52 'class_Ring__and__Field_Ono__zero__divisors' [104, 1] (w:1, o:61, a:1
% 4.12/4.52 , s:1, b:0),
% 4.12/4.52 'class_Ring__and__Field_Omult__zero' [105, 1] (w:1, o:60, a:1, s:1
% 4.12/4.52 , b:0),
% 4.12/4.52 'class_Ring__and__Field_Opordered__cancel__semiring' [106, 1] (w:1
% 4.12/4.52 , o:118, a:1, s:1, b:0),
% 4.12/4.52 'v_k' [107, 0] (w:1, o:40, a:1, s:1, b:0),
% 4.12/4.52 'class_Divides_Oring__div' [108, 1] (w:1, o:93, a:1, s:1, b:0),
% 4.12/4.52 'class_OrderedGroup_Oab__semigroup__mult' [109, 1] (w:1, o:100, a:1
% 4.12/4.52 , s:1, b:0),
% 4.12/4.52 'class_RealVector_Oreal__normed__algebra' [114, 1] (w:1, o:119, a:1
% 4.12/4.52 , s:1, b:0),
% 4.12/4.52 'class_Ring__and__Field_Ocomm__semiring' [119, 1] (w:1, o:66, a:1, s:
% 4.12/4.52 1, b:0),
% 4.12/4.52 'class_OrderedGroup_Olordered__ab__group__add' [120, 1] (w:1, o:101
% 4.12/4.52 , a:1, s:1, b:0),
% 4.12/4.52 'class_OrderedGroup_Oordered__ab__group__add' [121, 1] (w:1, o:72, a:
% 4.12/4.52 1, s:1, b:0),
% 4.12/4.52 'class_Ring__and__Field_Ofield' [122, 1] (w:1, o:120, a:1, s:1, b:0)
% 4.12/4.52 ,
% 4.12/4.52 'class_Ring__and__Field_Oring' [123, 1] (w:1, o:95, a:1, s:1, b:0),
% 4.12/4.52 'class_Ring__and__Field_Opordered__semiring' [125, 1] (w:1, o:122, a:
% 4.12/4.52 1, s:1, b:0),
% 4.12/4.52 'c_HOL_Osgn__class_Osgn' [126, 2] (w:1, o:165, a:1, s:1, b:0),
% 4.12/4.52 'class_RealVector_Oreal__normed__vector' [127, 1] (w:1, o:123, a:1
% 4.12/4.52 , s:1, b:0),
% 4.12/4.52 'class_Ring__and__Field_Opordered__ring__abs' [128, 1] (w:1, o:121
% 4.12/4.52 , a:1, s:1, b:0),
% 4.12/4.52 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [129, 1]
% 4.12/4.52 (w:1, o:102, a:1, s:1, b:0),
% 4.12/4.52 'class_OrderedGroup_Opordered__ab__semigroup__add' [130, 1] (w:1, o:
% 4.12/4.52 103, a:1, s:1, b:0),
% 4.12/4.52 'class_RealVector_Oreal__vector' [131, 1] (w:1, o:124, a:1, s:1, b:0)
% 4.12/4.52 ,
% 4.12/4.52 'c_RealVector_OscaleR__class_OscaleR' [132, 3] (w:1, o:178, a:1, s:1
% 4.12/4.52 , b:0),
% 4.12/4.52 'class_Lattices_Oboolean__algebra' [133, 1] (w:1, o:125, a:1, s:1, b:
% 4.12/4.52 0),
% 4.12/4.52 'class_OrderedGroup_Olordered__ab__group__add__abs' [134, 1] (w:1, o:
% 4.12/4.52 104, a:1, s:1, b:0),
% 4.12/4.52 'class_OrderedGroup_Opordered__comm__monoid__add' [135, 1] (w:1, o:
% 4.12/4.52 105, a:1, s:1, b:0),
% 4.12/4.52 'class_Ring__and__Field_Osgn__if' [136, 1] (w:1, o:126, a:1, s:1, b:0
% 4.12/4.52 ),
% 4.12/4.52 'class_Ring__and__Field_Oring__no__zero__divisors' [137, 1] (w:1, o:
% 4.12/4.52 96, a:1, s:1, b:0),
% 4.12/4.52 'class_OrderedGroup_Oab__group__add' [138, 1] (w:1, o:106, a:1, s:1
% 4.12/4.52 , b:0),
% 4.12/4.52 'class_Ring__and__Field_Ocomm__ring__1' [139, 1] (w:1, o:64, a:1, s:1
% 4.12/4.52 , b:0),
% 4.12/4.52 'class_OrderedGroup_Ocancel__ab__semigroup__add' [140, 1] (w:1, o:107
% 4.12/4.52 , a:1, s:1, b:0),
% 4.12/4.52 'class_OrderedGroup_Ocancel__semigroup__add' [141, 1] (w:1, o:108, a:
% 4.12/4.52 1, s:1, b:0),
% 4.12/4.52 'class_RealVector_Oreal__algebra' [142, 1] (w:1, o:127, a:1, s:1, b:0
% 4.12/4.52 ),
% 4.12/4.52 'class_RealVector_Oreal__field' [144, 1] (w:1, o:128, a:1, s:1, b:0)
% 4.12/4.52 ,
% 4.12/4.52 'class_Ring__and__Field_Oabs__if' [146, 1] (w:1, o:129, a:1, s:1, b:0
% 4.12/4.52 ),
% 4.12/4.52 'class_Ring__and__Field_Oordered__semiring' [147, 1] (w:1, o:85, a:1
% 4.12/4.52 , s:1, b:0),
% 4.12/4.52 'class_OrderedGroup_Ocomm__monoid__add' [149, 1] (w:1, o:109, a:1, s:
% 4.12/4.52 1, b:0),
% 4.12/4.52 'class_Ring__and__Field_Olordered__ring' [151, 1] (w:1, o:59, a:1, s:
% 4.12/4.52 1, b:0),
% 4.12/4.52 'tc_Complex_Ocomplex' [152, 0] (w:1, o:46, a:1, s:1, b:0),
% 27.18/27.55 'c_Complex_Ocnj' [153, 1] (w:1, o:130, a:1, s:1, b:0),
% 27.18/27.55 'class_OrderedGroup_Omonoid__mult' [154, 1] (w:1, o:110, a:1, s:1, b:
% 27.18/27.55 0),
% 27.18/27.55 'class_Orderings_Opreorder' [159, 1] (w:1, o:111, a:1, s:1, b:0),
% 27.18/27.55 'class_OrderedGroup_Oab__semigroup__add' [160, 1] (w:1, o:112, a:1
% 27.18/27.55 , s:1, b:0),
% 27.18/27.55 'class_Ring__and__Field_Osemiring' [161, 1] (w:1, o:131, a:1, s:1, b:
% 27.18/27.55 0),
% 27.18/27.55 'class_Int_Oring__char__0' [162, 1] (w:1, o:132, a:1, s:1, b:0),
% 27.18/27.55 'class_Ring__and__Field_Osemiring__1' [163, 1] (w:1, o:133, a:1, s:1
% 27.18/27.55 , b:0),
% 27.18/27.55 'c_Int_Oiszero' [164, 2] (w:1, o:168, a:1, s:1, b:0),
% 27.18/27.55 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [165, 1]
% 27.18/27.55 (w:1, o:113, a:1, s:1, b:0),
% 27.18/27.55 'class_Ring__and__Field_Oordered__comm__semiring__strict' [166, 1]
% 27.18/27.55 (w:1, o:86, a:1, s:1, b:0),
% 27.18/27.55 'class_OrderedGroup_Omonoid__add' [167, 1] (w:1, o:114, a:1, s:1, b:0
% 27.18/27.55 ),
% 27.18/27.55 'c_Complex_Oii' [168, 0] (w:1, o:50, a:1, s:1, b:0),
% 27.18/27.55 'class_RealVector_Oreal__normed__div__algebra' [169, 1] (w:1, o:134
% 27.18/27.55 , a:1, s:1, b:0),
% 27.18/27.55 'c_FFT__Mirabelle_Oroot' [170, 1] (w:1, o:135, a:1, s:1, b:0),
% 27.18/27.55 'class_Ring__and__Field_Oring__1' [171, 1] (w:1, o:97, a:1, s:1, b:0)
% 27.18/27.55 ,
% 27.18/27.55 'class_OrderedGroup_Ocomm__monoid__mult' [172, 1] (w:1, o:115, a:1
% 27.18/27.55 , s:1, b:0),
% 27.18/27.55 'class_Ring__and__Field_Oring__1__no__zero__divisors' [173, 1] (w:1
% 27.18/27.55 , o:98, a:1, s:1, b:0),
% 27.18/27.55 'v_n' [175, 0] (w:1, o:51, a:1, s:1, b:0),
% 27.18/27.55 'class_RealVector_Oreal__normed__algebra__1' [176, 1] (w:1, o:136, a:
% 27.18/27.55 1, s:1, b:0),
% 27.18/27.55 'tc_Int_Oint' [177, 0] (w:1, o:52, a:1, s:1, b:0),
% 27.18/27.55 'tc_RealDef_Oreal' [178, 0] (w:1, o:53, a:1, s:1, b:0).
% 27.18/27.55
% 27.18/27.55
% 27.18/27.55 Starting Search:
% 27.18/27.55
% 27.18/27.55 Resimplifying inuse:
% 27.18/27.55 Done
% 27.18/27.55
% 27.18/27.55
% 27.18/27.55 Intermediate Status:
% 27.18/27.55 Generated: 3079
% 27.18/27.55 Kept: 2001
% 27.18/27.55 Inuse: 75
% 27.18/27.55 Deleted: 5
% 27.18/27.55 Deletedinuse: 0
% 27.18/27.55
% 27.18/27.55 Resimplifying inuse:
% 27.18/27.55 Done
% 27.18/27.55
% 27.18/27.55 Resimplifying inuse:
% 27.18/27.55 Done
% 27.18/27.55
% 27.18/27.55
% 27.18/27.55 Intermediate Status:
% 27.18/27.55 Generated: 11997
% 27.18/27.55 Kept: 4066
% 27.18/27.55 Inuse: 175
% 27.18/27.55 Deleted: 6
% 27.18/27.55 Deletedinuse: 0
% 27.18/27.55
% 27.18/27.55 Resimplifying inuse:
% 27.18/27.55 Done
% 27.18/27.55
% 27.18/27.55 Resimplifying inuse:
% 27.18/27.55 Done
% 27.18/27.55
% 27.18/27.55
% 27.18/27.55 Intermediate Status:
% 27.18/27.55 Generated: 20163
% 27.18/27.55 Kept: 6501
% 27.18/27.55 Inuse: 215
% 27.18/27.55 Deleted: 6
% 27.18/27.55 Deletedinuse: 0
% 27.18/27.55
% 27.18/27.55 Resimplifying inuse:
% 27.18/27.55 Done
% 27.18/27.55
% 27.18/27.55
% 27.18/27.55 Intermediate Status:
% 27.18/27.55 Generated: 29150
% 27.18/27.55 Kept: 8611
% 27.18/27.55 Inuse: 250
% 27.18/27.55 Deleted: 6
% 27.18/27.55 Deletedinuse: 0
% 27.18/27.55
% 27.18/27.55 Resimplifying inuse:
% 27.18/27.55 Done
% 27.18/27.55
% 27.18/27.55 Resimplifying inuse:
% 27.18/27.55 Done
% 27.18/27.55
% 27.18/27.55
% 27.18/27.55 Intermediate Status:
% 27.18/27.55 Generated: 36060
% 27.18/27.55 Kept: 10620
% 27.18/27.55 Inuse: 314
% 27.18/27.55 Deleted: 10
% 27.18/27.55 Deletedinuse: 1
% 27.18/27.55
% 27.18/27.55 Resimplifying inuse:
% 27.18/27.55 Done
% 27.18/27.55
% 27.18/27.55 Resimplifying inuse:
% 27.18/27.55 Done
% 27.18/27.55
% 27.18/27.55
% 27.18/27.55 Intermediate Status:
% 27.18/27.55 Generated: 45243
% 27.18/27.55 Kept: 12689
% 27.18/27.55 Inuse: 357
% 27.18/27.55 Deleted: 10
% 27.18/27.55 Deletedinuse: 1
% 27.18/27.55
% 27.18/27.55 Resimplifying inuse:
% 27.18/27.55 Done
% 27.18/27.55
% 27.18/27.55 Resimplifying inuse:
% 27.18/27.55 Done
% 27.18/27.55
% 27.18/27.55
% 27.18/27.55 Intermediate Status:
% 27.18/27.55 Generated: 55778
% 27.18/27.55 Kept: 14890
% 27.18/27.55 Inuse: 402
% 27.18/27.55 Deleted: 10
% 27.18/27.55 Deletedinuse: 1
% 27.18/27.55
% 27.18/27.55 Resimplifying inuse:
% 27.18/27.55 Done
% 27.18/27.55
% 27.18/27.55 Resimplifying inuse:
% 27.18/27.55 Done
% 27.18/27.55
% 27.18/27.55
% 27.18/27.55 Intermediate Status:
% 27.18/27.55 Generated: 67658
% 27.18/27.55 Kept: 16920
% 27.18/27.55 Inuse: 490
% 27.18/27.55 Deleted: 12
% 27.18/27.55 Deletedinuse: 1
% 27.18/27.55
% 27.18/27.55 Resimplifying inuse:
% 27.18/27.55 Done
% 27.18/27.55
% 27.18/27.55 Resimplifying inuse:
% 27.18/27.55 Done
% 27.18/27.55
% 27.18/27.55
% 27.18/27.55 Intermediate Status:
% 27.18/27.56 Generated: 82114
% 27.18/27.56 Kept: 20044
% 27.18/27.56 Inuse: 541
% 27.18/27.56 Deleted: 19
% 27.18/27.56 Deletedinuse: 4
% 27.18/27.56
% 27.18/27.56 Resimplifying inuse:
% 27.18/27.56 Done
% 27.18/27.56
% 27.18/27.56 Resimplifying clauses:
% 27.18/27.56 Done
% 27.18/27.56
% 27.18/27.56 Resimplifying inuse:
% 27.18/27.56 Done
% 27.18/27.56
% 27.18/27.56
% 27.18/27.56 Intermediate Status:
% 27.18/27.56 Generated: 101507
% 27.18/27.56 Kept: 23001
% 27.18/27.56 Inuse: 561
% 27.18/27.56 Deleted: 811
% 27.18/27.56 Deletedinuse: 4
% 27.18/27.56
% 27.18/27.56 Resimplifying inuse:
% 27.18/27.56 Done
% 27.18/27.56
% 27.18/27.56 Resimplifying inuse:
% 27.18/27.56 Done
% 27.18/27.56
% 27.18/27.56
% 27.18/27.56 Intermediate Status:
% 27.18/27.56 Generated: 111089
% 27.18/27.56 Kept: 25112
% 27.18/27.56 Inuse: 591
% 27.18/27.56 Deleted: 811
% 27.18/27.56 Deletedinuse: 4
% 27.18/27.56
% 27.18/27.56 Resimplifying inuse:
% 27.18/27.56 Done
% 27.18/27.56
% 27.18/27.56
% 27.18/27.56 Intermediate Status:
% 27.18/27.56 Generated: 125335
% 27.18/27.56 Kept: 27476
% 27.18/27.56 Inuse: 621
% 27.18/27.56 Deleted: 811
% 27.18/27.56 Deletedinuse: 4
% 27.18/27.56
% 27.18/27.56 Resimplifying inuse:
% 27.18/27.56 Done
% 27.18/27.56
% 27.18/27.56 Resimplifying inuse:
% 27.18/27.56 Done
% 27.18/27.56
% 27.18/27.56
% 27.18/27.56 Intermediate Status:
% 27.18/27.56 Generated: 139457
% 27.18/27.56 Kept: 29532
% 27.18/27.56 Inuse: 646
% 27.18/27.56 Deleted: 811
% 27.18/27.56 Deletedinuse: 4
% 27.18/27.56
% 27.18/27.56 Resimplifying inuse:
% 27.18/27.56 Done
% 27.18/27.56
% 27.18/27.56 Resimplifying inuse:
% 27.18/27.56 Done
% 27.18/27.56
% 27.18/27.56
% 27.18/27.56 Intermediate Status:
% 27.18/27.56 Generated: 153475
% 27.18/27.56 Kept: 32310
% 27.18/27.56 Inuse: 691
% 27.18/27.56 Deleted: 811
% 27.18/27.56 Deletedinuse: 4
% 27.18/27.56
% 27.18/27.56 Resimplifying inuse:
% 27.18/27.56 Done
% 27.18/27.56
% 27.18/27.56 Resimplifying inuse:
% 27.18/27.56 Done
% 27.18/27.56
% 27.18/27.56
% 27.18/27.56 Intermediate Status:
% 72.42/72.79 Generated: 163173
% 72.42/72.79 Kept: 34352
% 72.42/72.79 Inuse: 731
% 72.42/72.79 Deleted: 812
% 72.42/72.79 Deletedinuse: 5
% 72.42/72.79
% 72.42/72.79 Resimplifying inuse:
% 72.42/72.79 Done
% 72.42/72.79
% 72.42/72.79 Resimplifying inuse:
% 72.42/72.79 Done
% 72.42/72.79
% 72.42/72.79
% 72.42/72.79 Intermediate Status:
% 72.42/72.79 Generated: 179555
% 72.42/72.79 Kept: 36373
% 72.42/72.79 Inuse: 746
% 72.42/72.79 Deleted: 812
% 72.42/72.79 Deletedinuse: 5
% 72.42/72.79
% 72.42/72.79 Resimplifying inuse:
% 72.42/72.79 Done
% 72.42/72.79
% 72.42/72.79
% 72.42/72.79 Intermediate Status:
% 72.42/72.79 Generated: 189318
% 72.42/72.79 Kept: 38419
% 72.42/72.79 Inuse: 796
% 72.42/72.79 Deleted: 812
% 72.42/72.79 Deletedinuse: 5
% 72.42/72.79
% 72.42/72.79 Resimplifying inuse:
% 72.42/72.79 Done
% 72.42/72.79
% 72.42/72.79 Resimplifying inuse:
% 72.42/72.79 Done
% 72.42/72.79
% 72.42/72.79 Resimplifying clauses:
% 72.42/72.79 Done
% 72.42/72.79
% 72.42/72.79
% 72.42/72.79 Intermediate Status:
% 72.42/72.79 Generated: 200752
% 72.42/72.79 Kept: 40428
% 72.42/72.79 Inuse: 839
% 72.42/72.79 Deleted: 1125
% 72.42/72.79 Deletedinuse: 5
% 72.42/72.79
% 72.42/72.79 Resimplifying inuse:
% 72.42/72.79 Done
% 72.42/72.79
% 72.42/72.79 Resimplifying inuse:
% 72.42/72.79 Done
% 72.42/72.79
% 72.42/72.79
% 72.42/72.79 Intermediate Status:
% 72.42/72.79 Generated: 210158
% 72.42/72.79 Kept: 42545
% 72.42/72.79 Inuse: 886
% 72.42/72.79 Deleted: 1125
% 72.42/72.79 Deletedinuse: 5
% 72.42/72.79
% 72.42/72.79 Resimplifying inuse:
% 72.42/72.79 Done
% 72.42/72.79
% 72.42/72.79 Resimplifying inuse:
% 72.42/72.79 Done
% 72.42/72.79
% 72.42/72.79
% 72.42/72.79 Intermediate Status:
% 72.42/72.79 Generated: 229542
% 72.42/72.79 Kept: 45559
% 72.42/72.79 Inuse: 921
% 72.42/72.79 Deleted: 1126
% 72.42/72.79 Deletedinuse: 6
% 72.42/72.79
% 72.42/72.79 Resimplifying inuse:
% 72.42/72.79 Done
% 72.42/72.79
% 72.42/72.79 Resimplifying inuse:
% 72.42/72.79 Done
% 72.42/72.79
% 72.42/72.79
% 72.42/72.79 Intermediate Status:
% 72.42/72.79 Generated: 245553
% 72.42/72.79 Kept: 48296
% 72.42/72.79 Inuse: 931
% 72.42/72.79 Deleted: 1126
% 72.42/72.79 Deletedinuse: 6
% 72.42/72.79
% 72.42/72.79 Resimplifying inuse:
% 72.42/72.79 Done
% 72.42/72.79
% 72.42/72.79 Resimplifying inuse:
% 72.42/72.79 Done
% 72.42/72.79
% 72.42/72.79
% 72.42/72.79 Intermediate Status:
% 72.42/72.79 Generated: 262217
% 72.42/72.79 Kept: 51328
% 72.42/72.79 Inuse: 941
% 72.42/72.79 Deleted: 1126
% 72.42/72.79 Deletedinuse: 6
% 72.42/72.79
% 72.42/72.79 Resimplifying inuse:
% 72.42/72.79 Done
% 72.42/72.79
% 72.42/72.79 Resimplifying inuse:
% 72.42/72.79 Done
% 72.42/72.79
% 72.42/72.79
% 72.42/72.79 Intermediate Status:
% 72.42/72.79 Generated: 275946
% 72.42/72.79 Kept: 54864
% 72.42/72.79 Inuse: 951
% 72.42/72.79 Deleted: 1126
% 72.42/72.79 Deletedinuse: 6
% 72.42/72.79
% 72.42/72.79 Resimplifying inuse:
% 72.42/72.79 Done
% 72.42/72.79
% 72.42/72.79 Resimplifying inuse:
% 72.42/72.79 Done
% 72.42/72.79
% 72.42/72.79
% 72.42/72.79 Intermediate Status:
% 72.42/72.79 Generated: 288206
% 72.42/72.79 Kept: 57614
% 72.42/72.79 Inuse: 966
% 72.42/72.79 Deleted: 1126
% 72.42/72.79 Deletedinuse: 6
% 72.42/72.79
% 72.42/72.79 Resimplifying inuse:
% 72.42/72.79 Done
% 72.42/72.79
% 72.42/72.79 Resimplifying inuse:
% 72.42/72.79 Done
% 72.42/72.79
% 72.42/72.79
% 72.42/72.79 Intermediate Status:
% 72.42/72.79 Generated: 298090
% 72.42/72.79 Kept: 59615
% 72.42/72.79 Inuse: 987
% 72.42/72.79 Deleted: 1126
% 72.42/72.79 Deletedinuse: 6
% 72.42/72.79
% 72.42/72.79 Resimplifying inuse:
% 72.42/72.79 Done
% 72.42/72.79
% 72.42/72.79 Resimplifying clauses:
% 72.42/72.79 Done
% 72.42/72.79
% 72.42/72.79
% 72.42/72.79 Intermediate Status:
% 72.42/72.79 Generated: 309942
% 72.42/72.79 Kept: 61731
% 72.42/72.79 Inuse: 996
% 72.42/72.79 Deleted: 1426
% 72.42/72.79 Deletedinuse: 6
% 72.42/72.79
% 72.42/72.79 Resimplifying inuse:
% 72.42/72.79 Done
% 72.42/72.79
% 72.42/72.79 Resimplifying inuse:
% 72.42/72.79 Done
% 72.42/72.79
% 72.42/72.79
% 72.42/72.79 Intermediate Status:
% 72.42/72.79 Generated: 318823
% 72.42/72.79 Kept: 63753
% 72.42/72.79 Inuse: 1027
% 72.42/72.79 Deleted: 1426
% 72.42/72.79 Deletedinuse: 6
% 72.42/72.79
% 72.42/72.79 Resimplifying inuse:
% 72.42/72.79 Done
% 72.42/72.79
% 72.42/72.79 Resimplifying inuse:
% 72.42/72.79 Done
% 72.42/72.79
% 72.42/72.79
% 72.42/72.79 Intermediate Status:
% 72.42/72.79 Generated: 328998
% 72.42/72.79 Kept: 65809
% 72.42/72.79 Inuse: 1046
% 72.42/72.79 Deleted: 1426
% 72.42/72.79 Deletedinuse: 6
% 72.42/72.79
% 72.42/72.79 Resimplifying inuse:
% 72.42/72.79 Done
% 72.42/72.79
% 72.42/72.79 Resimplifying inuse:
% 72.42/72.79 Done
% 72.42/72.79
% 72.42/72.79
% 72.42/72.79 Intermediate Status:
% 72.42/72.79 Generated: 338519
% 72.42/72.79 Kept: 67809
% 72.42/72.79 Inuse: 1075
% 72.42/72.79 Deleted: 1426
% 72.42/72.79 Deletedinuse: 6
% 72.42/72.79
% 72.42/72.79 Resimplifying inuse:
% 72.42/72.79 Done
% 72.42/72.79
% 72.42/72.79
% 72.42/72.79 Intermediate Status:
% 72.42/72.79 Generated: 360836
% 72.42/72.79 Kept: 71193
% 72.42/72.79 Inuse: 1101
% 72.42/72.79 Deleted: 1426
% 72.42/72.79 Deletedinuse: 6
% 72.42/72.79
% 72.42/72.79 Resimplifying inuse:
% 72.42/72.79 Done
% 72.42/72.79
% 72.42/72.79 Resimplifying inuse:
% 72.42/72.79 Done
% 72.42/72.79
% 72.42/72.79
% 72.42/72.79 Intermediate Status:
% 72.42/72.79 Generated: 376980
% 72.42/72.79 Kept: 73197
% 72.42/72.79 Inuse: 1108
% 72.42/72.79 Deleted: 1426
% 72.42/72.79 Deletedinuse: 6
% 72.42/72.79
% 72.42/72.79 Resimplifying inuse:
% 72.42/72.79 Done
% 72.42/72.79
% 72.42/72.79
% 72.42/72.79 Intermediate Status:
% 72.42/72.79 Generated: 399532
% 72.42/72.79 Kept: 76167
% 72.42/72.79 Inuse: 1116
% 72.42/72.79 Deleted: 1426
% 72.42/72.79 Deletedinuse: 6
% 72.42/72.79
% 72.42/72.79 Resimplifying inuse:
% 72.42/72.79 Done
% 72.42/72.79
% 72.42/72.79
% 72.42/72.79 Intermediate Status:
% 72.42/72.79 Generated: 427237
% 72.42/72.79 Kept: 78509
% 72.42/72.79 Inuse: 1126
% 72.42/72.79 Deleted: 1426
% 72.42/72.79 Deletedinuse: 6
% 72.42/72.79
% 72.42/72.79 Resimplifying inuse:
% 72.42/72.79 Done
% 72.42/72.79
% 72.42/72.79 Resimplifying inuse:
% 72.42/72.79 Done
% 72.42/72.79
% 72.42/72.79
% 72.42/72.79 Intermediate Status:
% 72.42/72.79 Generated: 441425
% 72.42/72.79 Kept: 80714
% 72.42/72.79 Inuse: 1176
% 72.42/72.79 Deleted: 1426
% 72.42/72.79 Deletedinuse: 6
% 72.42/72.79
% 72.42/72.79 Resimplifying inuse:
% 72.42/72.79 Done
% 72.42/72.79
% 72.42/72.79 Resimplifying clauses:
% 72.42/72.79 Done
% 72.42/72.79
% 72.42/72.79 Resimplifying inuse:
% 72.42/72.79 Done
% 72.42/72.79
% 72.42/72.79
% 72.42/72.79 Intermediate Status:
% 72.42/72.79 Generated: 450739
% 72.42/72.79 Kept: 82724
% 72.42/72.79 Inuse: 1201
% 72.42/72.79 Deleted: 1712
% 72.42/72.79 Deletedinuse: 6
% 72.42/72.79
% 72.42/72.79 Resimplifying inuse:
% 72.42/72.79 Done
% 72.42/72.79
% 72.42/72.79 Resimplifying inuse:
% 72.42/72.79 Done
% 72.42/72.79
% 72.42/72.79
% 72.42/72.79 Intermediate Status:
% 72.42/72.79 Generated: 472354
% 72.42/72.79 Kept: 85097
% 72.42/72.79 Inuse: 1226
% 72.42/72.79 Deleted: 1716
% 72.42/72.79 Deletedinuse: 10
% 72.42/72.79
% 72.42/72.79 Resimplifying inuse:
% 72.42/72.79 Done
% 72.42/72.79
% 72.42/72.79
% 72.42/72.79 Intermediate Status:
% 72.42/72.79 Generated: 490395
% 72.42/72.79 Kept: 87757
% 72.42/72.79 Inuse: 1228
% 72.42/72.79 Deleted: 1724
% 72.42/72.79 Deletedinuse: 10
% 72.42/72.79
% 72.42/72.79 Resimplifying inuse:
% 72.42/72.79 Done
% 72.42/72.79
% 72.42/72.79 Resimplifying inuse:
% 72.42/72.79 Done
% 72.42/72.79
% 72.42/72.79
% 72.42/72.79 Intermediate Status:
% 72.42/72.79 Generated: 501995
% 72.42/72.79 Kept: 89863
% 72.42/72.79 Inuse: 1232
% 72.42/72.79 Deleted: 1740
% 72.42/72.79 Deletedinuse: 10
% 72.42/72.79
% 72.42/72.79 Resimplifying inuse:
% 72.42/72.79 Done
% 72.42/72.79
% 72.42/72.79
% 72.42/72.79 Intermediate Status:
% 72.42/72.79 Generated: 525444
% 72.42/72.79 Kept: 92590
% 72.42/72.79 Inuse: 1235
% 72.42/72.79 Deleted: 1752
% 185.07/185.55 Deletedinuse: 10
% 185.07/185.55
% 185.07/185.55 Resimplifying inuse:
% 185.07/185.55 Done
% 185.07/185.55
% 185.07/185.55
% 185.07/185.55 Intermediate Status:
% 185.07/185.55 Generated: 533702
% 185.07/185.55 Kept: 96245
% 185.07/185.55 Inuse: 1238
% 185.07/185.55 Deleted: 1764
% 185.07/185.55 Deletedinuse: 10
% 185.07/185.55
% 185.07/185.55 Resimplifying inuse:
% 185.07/185.55 Done
% 185.07/185.55
% 185.07/185.55 Resimplifying inuse:
% 185.07/185.55 Done
% 185.07/185.55
% 185.07/185.55
% 185.07/185.55 Intermediate Status:
% 185.07/185.55 Generated: 550997
% 185.07/185.55 Kept: 99422
% 185.07/185.55 Inuse: 1248
% 185.07/185.55 Deleted: 1764
% 185.07/185.55 Deletedinuse: 10
% 185.07/185.55
% 185.07/185.55 Resimplifying inuse:
% 185.07/185.55 Done
% 185.07/185.55
% 185.07/185.55 Resimplifying inuse:
% 185.07/185.55 Done
% 185.07/185.55
% 185.07/185.55 Resimplifying clauses:
% 185.07/185.55 Done
% 185.07/185.55
% 185.07/185.55
% 185.07/185.55 Intermediate Status:
% 185.07/185.55 Generated: 557646
% 185.07/185.55 Kept: 101449
% 185.07/185.55 Inuse: 1256
% 185.07/185.55 Deleted: 2212
% 185.07/185.55 Deletedinuse: 10
% 185.07/185.55
% 185.07/185.55 Resimplifying inuse:
% 185.07/185.55 Done
% 185.07/185.55
% 185.07/185.55
% 185.07/185.55 Intermediate Status:
% 185.07/185.55 Generated: 577849
% 185.07/185.55 Kept: 103977
% 185.07/185.55 Inuse: 1289
% 185.07/185.55 Deleted: 2217
% 185.07/185.55 Deletedinuse: 13
% 185.07/185.55
% 185.07/185.55 Resimplifying inuse:
% 185.07/185.55 Done
% 185.07/185.55
% 185.07/185.55 Resimplifying inuse:
% 185.07/185.55 Done
% 185.07/185.55
% 185.07/185.55
% 185.07/185.55 Intermediate Status:
% 185.07/185.55 Generated: 595859
% 185.07/185.55 Kept: 106635
% 185.07/185.55 Inuse: 1299
% 185.07/185.55 Deleted: 2217
% 185.07/185.55 Deletedinuse: 13
% 185.07/185.55
% 185.07/185.55 Resimplifying inuse:
% 185.07/185.55 Done
% 185.07/185.55
% 185.07/185.55 Resimplifying inuse:
% 185.07/185.55 Done
% 185.07/185.55
% 185.07/185.55
% 185.07/185.55 Intermediate Status:
% 185.07/185.55 Generated: 615211
% 185.07/185.55 Kept: 109480
% 185.07/185.55 Inuse: 1309
% 185.07/185.55 Deleted: 2217
% 185.07/185.55 Deletedinuse: 13
% 185.07/185.55
% 185.07/185.55 Resimplifying inuse:
% 185.07/185.55 Done
% 185.07/185.55
% 185.07/185.55 Resimplifying inuse:
% 185.07/185.55 Done
% 185.07/185.55
% 185.07/185.55
% 185.07/185.55 Intermediate Status:
% 185.07/185.55 Generated: 627264
% 185.07/185.55 Kept: 111822
% 185.07/185.55 Inuse: 1329
% 185.07/185.55 Deleted: 2219
% 185.07/185.55 Deletedinuse: 15
% 185.07/185.55
% 185.07/185.55 Resimplifying inuse:
% 185.07/185.55 Done
% 185.07/185.55
% 185.07/185.55 Resimplifying inuse:
% 185.07/185.55 Done
% 185.07/185.55
% 185.07/185.55
% 185.07/185.55 Intermediate Status:
% 185.07/185.55 Generated: 641356
% 185.07/185.55 Kept: 114080
% 185.07/185.55 Inuse: 1354
% 185.07/185.55 Deleted: 2219
% 185.07/185.55 Deletedinuse: 15
% 185.07/185.55
% 185.07/185.55 Resimplifying inuse:
% 185.07/185.55 Done
% 185.07/185.55
% 185.07/185.55 Resimplifying inuse:
% 185.07/185.55 Done
% 185.07/185.55
% 185.07/185.55
% 185.07/185.55 Intermediate Status:
% 185.07/185.55 Generated: 656096
% 185.07/185.55 Kept: 116119
% 185.07/185.55 Inuse: 1379
% 185.07/185.55 Deleted: 2219
% 185.07/185.55 Deletedinuse: 15
% 185.07/185.55
% 185.07/185.55 Resimplifying inuse:
% 185.07/185.55 Done
% 185.07/185.55
% 185.07/185.55
% 185.07/185.55 Intermediate Status:
% 185.07/185.55 Generated: 668262
% 185.07/185.55 Kept: 118163
% 185.07/185.55 Inuse: 1389
% 185.07/185.55 Deleted: 2219
% 185.07/185.55 Deletedinuse: 15
% 185.07/185.55
% 185.07/185.55 Resimplifying inuse:
% 185.07/185.55 Done
% 185.07/185.55
% 185.07/185.55
% 185.07/185.55 Intermediate Status:
% 185.07/185.55 Generated: 685659
% 185.07/185.55 Kept: 120921
% 185.07/185.55 Inuse: 1407
% 185.07/185.55 Deleted: 2221
% 185.07/185.55 Deletedinuse: 15
% 185.07/185.55
% 185.07/185.55 Resimplifying inuse:
% 185.07/185.55 Done
% 185.07/185.55
% 185.07/185.55 Resimplifying clauses:
% 185.07/185.55 Done
% 185.07/185.55
% 185.07/185.55 Resimplifying inuse:
% 185.07/185.55 Done
% 185.07/185.55
% 185.07/185.55
% 185.07/185.55 Intermediate Status:
% 185.07/185.55 Generated: 708198
% 185.07/185.55 Kept: 123873
% 185.07/185.55 Inuse: 1413
% 185.07/185.55 Deleted: 2625
% 185.07/185.55 Deletedinuse: 16
% 185.07/185.55
% 185.07/185.55 Resimplifying inuse:
% 185.07/185.55 Done
% 185.07/185.55
% 185.07/185.55 Resimplifying inuse:
% 185.07/185.55 Done
% 185.07/185.55
% 185.07/185.55
% 185.07/185.55 Intermediate Status:
% 185.07/185.55 Generated: 720045
% 185.07/185.55 Kept: 126159
% 185.07/185.55 Inuse: 1422
% 185.07/185.55 Deleted: 2626
% 185.07/185.55 Deletedinuse: 17
% 185.07/185.55
% 185.07/185.55 Resimplifying inuse:
% 185.07/185.55 Done
% 185.07/185.55
% 185.07/185.55
% 185.07/185.55 Intermediate Status:
% 185.07/185.55 Generated: 772632
% 185.07/185.55 Kept: 130774
% 185.07/185.55 Inuse: 1467
% 185.07/185.55 Deleted: 2626
% 185.07/185.55 Deletedinuse: 17
% 185.07/185.55
% 185.07/185.55 Resimplifying inuse:
% 185.07/185.55 Done
% 185.07/185.55
% 185.07/185.55 Resimplifying inuse:
% 185.07/185.55 Done
% 185.07/185.55
% 185.07/185.55
% 185.07/185.55 Intermediate Status:
% 185.07/185.55 Generated: 787786
% 185.07/185.55 Kept: 133440
% 185.07/185.55 Inuse: 1481
% 185.07/185.55 Deleted: 2626
% 185.07/185.55 Deletedinuse: 17
% 185.07/185.55
% 185.07/185.55 Resimplifying inuse:
% 185.07/185.55 Done
% 185.07/185.55
% 185.07/185.55 Resimplifying inuse:
% 185.07/185.55 Done
% 185.07/185.55
% 185.07/185.55
% 185.07/185.55 Intermediate Status:
% 185.07/185.55 Generated: 801126
% 185.07/185.55 Kept: 135596
% 185.07/185.55 Inuse: 1487
% 185.07/185.55 Deleted: 2627
% 185.07/185.55 Deletedinuse: 18
% 185.07/185.55
% 185.07/185.55 Resimplifying inuse:
% 185.07/185.55 Done
% 185.07/185.55
% 185.07/185.55
% 185.07/185.55 Intermediate Status:
% 185.07/185.55 Generated: 808345
% 185.07/185.55 Kept: 137661
% 185.07/185.55 Inuse: 1501
% 185.07/185.55 Deleted: 2628
% 185.07/185.55 Deletedinuse: 18
% 185.07/185.55
% 185.07/185.55 Resimplifying inuse:
% 185.07/185.55 Done
% 185.07/185.55
% 185.07/185.55
% 185.07/185.55 Intermediate Status:
% 185.07/185.55 Generated: 820406
% 185.07/185.55 Kept: 140070
% 185.07/185.55 Inuse: 1511
% 185.07/185.55 Deleted: 2628
% 185.07/185.55 Deletedinuse: 18
% 185.07/185.55
% 185.07/185.55 Resimplifying inuse:
% 185.07/185.55 Done
% 185.07/185.55
% 185.07/185.55 Resimplifying clauses:
% 185.07/185.55 Done
% 185.07/185.56
% 185.07/185.56 Resimplifying inuse:
% 185.07/185.56 Done
% 185.07/185.56
% 185.07/185.56
% 185.07/185.56 Intermediate Status:
% 185.07/185.56 Generated: 830736
% 185.07/185.56 Kept: 142111
% 185.07/185.56 Inuse: 1532
% 185.07/185.56 Deleted: 4878
% 185.07/185.56 Deletedinuse: 18
% 185.07/185.56
% 185.07/185.56 Resimplifying inuse:
% 185.07/185.56 Done
% 185.07/185.56
% 185.07/185.56 Resimplifying inuse:
% 185.07/185.56 Done
% 185.07/185.56
% 185.07/185.56
% 185.07/185.56 Intermediate Status:
% 185.07/185.56 Generated: 839571
% 185.07/185.56 Kept: 144606
% 185.07/185.56 Inuse: 1546
% 185.07/185.56 Deleted: 4878
% 185.07/185.56 Deletedinuse: 18
% 185.07/185.56
% 185.07/185.56 Resimplifying inuse:
% 185.07/185.56 Done
% 185.07/185.56
% 185.07/185.56
% 185.07/185.56 Intermediate Status:
% 185.07/185.56 Generated: 850556
% 185.07/185.56 Kept: 146710
% 185.07/185.56 Inuse: 1566
% 185.07/185.56 Deleted: 4878
% 185.07/185.56 Deletedinuse: 18
% 185.07/185.56
% 185.07/185.56 Resimplifying inuse:
% 185.07/185.56 Done
% 185.07/185.56
% 185.07/185.56 Resimplifying inuse:
% 185.07/185.56 Done
% 185.07/185.56
% 185.07/185.56
% 185.07/185.56 Intermediate Status:
% 185.07/185.56 Generated: 863958
% 185.07/185.56 Kept: 148961
% 185.07/185.56 Inuse: 1596
% 185.07/185.56 Deleted: 4878
% 185.07/185.56 Deletedinuse: 18
% 185.07/185.56
% 185.07/185.56 Resimplifying inuse:
% 185.07/185.56 Done
% 185.07/185.56
% 185.07/185.56 Resimplifying inuse:
% 185.07/185.56 Done
% 185.07/185.56
% 185.07/185.56
% 185.07/185.56 Intermediate Status:
% 185.07/185.56 Generated: 873014
% 185.07/185.56 Kept: 151007
% 185.07/185.56 Inuse: 1616
% 185.07/185.56 Deleted: 4890
% 185.07/185.56 Deletedinuse: 25
% 185.07/185.56
% 185.07/185.56 Resimplifying inuse:
% 185.07/185.56 Done
% 185.07/185.56
% 185.07/185.56 Resimplifying inuse:
% 185.07/185.56 Done
% 185.07/185.56
% 185.07/185.56
% 185.07/185.56 Intermediate Status:
% 185.07/185.56 Generated: 884354
% 185.07/185.56 Kept: 153021
% 185.07/185.56 Inuse: 1637
% 185.07/185.56 Deleted: 4890
% 185.07/185.56 Deletedinuse: 25
% 185.07/185.56
% 185.07/185.56 Resimplifying inuse:
% 185.07/185.56 Done
% 185.07/185.56
% 185.07/185.56
% 185.07/185.56 ICputime limit exceeded (core dumped)
%------------------------------------------------------------------------------