%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV617-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Wed Jul 20 16:27:10 EDT 2022
% Result : Unsatisfiable 120.52s 120.90s
% Output : Refutation 120.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV617-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.12 % Command : bliksem %s
% 0.14/0.33 % Computer : n018.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % DateTime : Thu Jun 16 05:28:00 EDT 2022
% 0.14/0.33 % CPUTime :
% 0.91/1.30 *** allocated 10000 integers for termspace/termends
% 0.91/1.30 *** allocated 10000 integers for clauses
% 0.91/1.30 *** allocated 10000 integers for justifications
% 0.91/1.30 *** allocated 15000 integers for termspace/termends
% 0.91/1.30 *** allocated 22500 integers for termspace/termends
% 0.91/1.30 Bliksem 1.12
% 0.91/1.30
% 0.91/1.30
% 0.91/1.30 Automatic Strategy Selection
% 0.91/1.30
% 0.91/1.30 Clauses:
% 0.91/1.30 [
% 0.91/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.91/1.30 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y
% 0.91/1.30 , X ), Z, X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.30 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.91/1.30 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.91/1.30 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.91/1.30 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 0.91/1.30 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.30 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ),
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.91/1.30 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 0.91/1.30 , Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.30 'c_HOL_Oinverse__class_Odivide'( T, Z, X ),
% 0.91/1.30 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.91/1.30 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.91/1.30 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 0.91/1.30 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.91/1.30 ), X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.91/1.30 ), X ), Z, X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.91/1.30 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.91/1.30 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.91/1.30 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 0.91/1.30 ), X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 0.91/1.30 ), X ), X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.91/1.30 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.91/1.30 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.91/1.30 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 0.91/1.30 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.30 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~(
% 0.91/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.30 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.91/1.30 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.91/1.30 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'( Y,
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, T, X ) ) ]
% 0.91/1.30 ,
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.91/1.30 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.91/1.30 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'(
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( T, Z, X ) )
% 0.91/1.30 ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.91/1.30 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 0.91/1.30 , Y, X ), X ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.91/1.30 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 0.91/1.30 , Z, X ), X ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Odvd'( X ) ),
% 0.91/1.30 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 0.91/1.30 , Z, X ), X ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 0.91/1.30 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oabs__class_Oabs'(
% 0.91/1.30 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 0.91/1.30 'c_HOL_Ouminus__class_Ouminus'( 'c_Int_Onumber__class_Onumber__of'( Y, X
% 0.91/1.30 ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.30 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.30 ), X ) ) ],
% 0.91/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.91/1.30 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'(
% 0.91/1.30 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 0.91/1.30 X ), 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X
% 0.91/1.30 ), X ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.30 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Z, X ), U, X ) ),
% 0.91/1.30 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), T, X ) )
% 0.91/1.30 ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.91/1.30 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.91/1.30 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 0.91/1.30 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 0.91/1.30 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.30 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.91/1.30 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.91/1.30 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.91/1.30 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.91/1.30 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'(
% 0.91/1.30 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.30 ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T
% 0.91/1.30 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.91/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.91/1.30 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 0.91/1.30 ), X ), Y ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.91/1.30 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.91/1.30 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 0.91/1.30 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.30 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.30 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.30 Y, 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ), ~(
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.91/1.30 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.91/1.30 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.91/1.30 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.91/1.30 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.30 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.30 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T
% 0.91/1.30 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ), ~(
% 0.91/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 0.91/1.30 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.91/1.30 , Y, X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.91/1.30 , Y, X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.91/1.30 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.30 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), T, X ), ~(
% 0.91/1.30 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.91/1.30 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ),
% 0.91/1.30 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.91/1.30 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.91/1.30 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.91/1.30 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 0.91/1.30 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.91/1.30 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.30 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ),
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.91/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.91/1.30 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.91/1.30 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.91/1.30 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.91/1.30 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 0.91/1.30 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.91/1.30 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.91/1.30 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.91/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.91/1.30 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.91/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 0.91/1.30 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 0.91/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 0.91/1.30 , X ), 'c_lessequals'( Y, Y, X ) ],
% 0.91/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.91/1.30 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.91/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.91/1.30 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.91/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.91/1.30 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.91/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.91/1.30 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.91/1.30 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.91/1.30 , T, X ), X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.91/1.30 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.91/1.30 , Z, X ), X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.30 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X
% 0.91/1.30 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 0.91/1.30 ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.30 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.91/1.30 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.30 X ), T, X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.30 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( T, Z, X
% 0.91/1.30 ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.91/1.30 ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.30 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.91/1.30 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.30 [ ~( 'class_Int_Oring__char__0'( X ) ), ~( 'class_Int_Onumber__ring'( X
% 0.91/1.30 ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.91/1.30 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =( Y, Z ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.91/1.30 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ),
% 0.91/1.30 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.91/1.30 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 0.91/1.30 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 0.91/1.30 , Y, X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.91/1.30 'c_Power_Opower__class_Opower'( T, Z, X ), X ), ~(
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 0.91/1.30 'tc_nat' ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.91/1.30 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.91/1.30 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.30 , X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.91/1.30 ,
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.91/1.30 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.30 , X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.91/1.30 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.91/1.30 'c_HOL_Oone__class_Oone'( X ), X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.91/1.30 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.91/1.30 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 0.91/1.30 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.30 X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.91/1.30 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.91/1.30 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 0.91/1.30 ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.30 X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~(
% 0.91/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 0.91/1.30 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.91/1.30 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.91/1.30 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.91/1.30 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 0.91/1.30 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.30 T, 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.91/1.30 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.91/1.30 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.30 ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.91/1.30 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X
% 0.91/1.30 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 0.91/1.30 'c_HOL_Ominus__class_Ominus'( T, Y, X ), X ), Z, X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.91/1.30 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 0.91/1.30 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 0.91/1.30 ],
% 0.91/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.91/1.30 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.30 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.91/1.30 ,
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.30 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.91/1.30 ,
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.30 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 0.91/1.30 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.91/1.30 T, Z, X ) ) ), =( Y, T ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ) ), ~(
% 0.91/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.91/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.91/1.30 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 0.91/1.30 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 0.91/1.30 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.30 X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 'c_lessequals'(
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.91/1.30 ), X ), Z, X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.91/1.30 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.30 Y, 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), T, X ), ~(
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.30 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'( Y,
% 0.91/1.30 'c_HOL_Oinverse__class_Odivide'( T, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.91/1.30 , X ), X ), X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.91/1.30 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.91/1.30 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.91/1.30 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 0.91/1.30 ), X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 0.91/1.30 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.91/1.30 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.91/1.30 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.30 ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 'c_lessequals'(
% 0.91/1.30 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( T
% 0.91/1.30 , X ), X ), Z, X ) ) ],
% 0.91/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.91/1.30 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.91/1.30 ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.91/1.30 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.91/1.30 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.91/1.30 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.91/1.30 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.91/1.30 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.91/1.30 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.91/1.30 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.91/1.30 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.91/1.30 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'c_lessequals'(
% 0.91/1.30 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.91/1.30 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 0.91/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.91/1.30 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.91/1.30 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_lessequals'( Z, Y, X )
% 0.91/1.30 ) ],
% 0.91/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.91/1.30 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.91/1.30 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.91/1.30 , X ), X ) ) ],
% 0.91/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.91/1.30 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oabs__class_Oabs'(
% 0.91/1.30 Y, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( 'class_Int_Onumber'( X )
% 0.91/1.30 ), =( 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 0.91/1.30 Y, X ), 'c_HOL_Ominus__class_Ominus'( Z, T, X ), X ),
% 0.91/1.30 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.30 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ),
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 0.91/1.30 , T, X ), X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.91/1.30 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.91/1.30 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.91/1.30 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.91/1.30 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.91/1.30 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.30 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ), ~(
% 0.91/1.30 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.30 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.91/1.30 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), Z, X ) ) ]
% 0.91/1.30 ,
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.91/1.30 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.91/1.30 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.91/1.30 'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ]
% 0.91/1.30 ,
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.91/1.30 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.91/1.30 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.91/1.30 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Y
% 0.91/1.30 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ), ~(
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 0.91/1.30 ,
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 0.91/1.30 , 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ), ~(
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 0.91/1.30 ,
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 0.91/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.91/1.30 , Z, X ), X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 0.91/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.91/1.30 , T, X ), X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.91/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.91/1.30 , Z, X ), X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.91/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.91/1.30 , T, X ), X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =(
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.91/1.30 , Z, X ) ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), =( Y, Z ) ]
% 0.91/1.30 ,
% 0.91/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 0.91/1.30 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 0.91/1.30 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.91/1.30 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.91/1.30 ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =(
% 0.91/1.30 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.91/1.30 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.91/1.30 ) ],
% 0.91/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.91/1.30 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.91/1.30 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.91/1.30 ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.91/1.30 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.91/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.91/1.30 ,
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.91/1.30 ,
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.91/1.30 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 0.91/1.30 ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.91/1.30 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 0.91/1.30 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.91/1.30 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~(
% 0.91/1.30 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.91/1.30 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.91/1.30 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.91/1.30 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~(
% 0.91/1.30 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.91/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.91/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.30 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.91/1.30 , X ), X ) ) ],
% 0.91/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.91/1.30 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.30 Z, Y, X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.91/1.30 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'( Y,
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( Y,
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.91/1.30 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 0.91/1.30 ],
% 0.91/1.30 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.91/1.30 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.91/1.30 , X ) ) ), =( Y, Z ) ],
% 0.91/1.30 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 0.91/1.30 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.91/1.30 , X ) ) ), =( Y, Z ) ],
% 0.91/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.91/1.30 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.91/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.91/1.30 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.91/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.91/1.30 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.91/1.30 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.91/1.30 Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.91/1.30 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.91/1.30 Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.91/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.91/1.30 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.91/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.91/1.30 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.91/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.91/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.91/1.30 ) ],
% 0.91/1.30 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.91/1.30 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.91/1.30 ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.91/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.91/1.30 ), =( Z, Y ) ],
% 0.91/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.91/1.30 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_lessequals'(
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.91/1.30 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Y, X ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.91/1.30 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.91/1.30 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~(
% 0.91/1.30 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.91/1.30 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), X ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.91/1.30 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Otimes__class_Otimes'( Z,
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.91/1.30 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.91/1.30 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 0.91/1.30 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.91/1.30 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'(
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 0.91/1.30 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.91/1.30 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z,
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 0.91/1.30 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.91/1.30 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'(
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 0.91/1.30 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.91/1.30 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z,
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.91/1.30 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.30 X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.91/1.30 , Z, X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.91/1.30 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.30 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 0.91/1.30 X ), X ) ) ],
% 0.91/1.30 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.91/1.30 , X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.91/1.30 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.91/1.30 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.91/1.30 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.91/1.30 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.30 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~(
% 0.91/1.30 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.30 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.91/1.30 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.91/1.30 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.91/1.30 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.91/1.30 ), X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.30 , X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.91/1.30 ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.91/1.30 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.30 ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 0.91/1.30 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.91/1.30 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ),
% 0.91/1.30 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 0.91/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.91/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.91/1.30 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.91/1.30 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.91/1.30 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.30 ), Y, X ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'(
% 0.91/1.30 Z, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 0.91/1.30 ), X ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T,
% 0.91/1.30 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.91/1.30 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.91/1.30 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.91/1.30 , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 0.91/1.30 , X ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z
% 0.91/1.30 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 0.91/1.30 ), X ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.91/1.30 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.30 X ), X ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'(
% 0.91/1.30 Z, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 0.91/1.30 ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 0.91/1.30 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.91/1.30 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 0.91/1.30 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 0.91/1.30 , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.91/1.30 ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.91/1.30 ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.91/1.30 ), X ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.91/1.30 ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.30 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.30 , X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.30 , X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.30 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.91/1.30 Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.30 , X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.30 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.91/1.30 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.30 , X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.30 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.91/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.91/1.30 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.91/1.30 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.91/1.30 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 0.91/1.30 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ]
% 0.91/1.30 ,
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.91/1.30 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 0.91/1.30 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ]
% 0.91/1.30 ,
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.91/1.30 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.91/1.30 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, T
% 0.91/1.30 , X ), Z, X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.91/1.30 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.91/1.30 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( T, Y
% 0.91/1.30 , X ), Z, X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.91/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), =( Y
% 0.91/1.30 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.30 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.30 , X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ), 'c_lessequals'(
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.91/1.30 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.91/1.30 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.91/1.30 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.91/1.30 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.91/1.30 , Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.91/1.30 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.91/1.30 , T, X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.91/1.30 ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.91/1.30 , Z, X ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.91/1.30 ), ~( 'c_lessequals'( T, Y, X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 0.91/1.30 ), =( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Z ) ],
% 0.91/1.30 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.30 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.91/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 0.91/1.30 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.91/1.30 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.91/1.30 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 0.91/1.30 , Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.30 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.91/1.30 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.91/1.30 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.91/1.30 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.91/1.30 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.30 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.91/1.30 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.91/1.30 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.91/1.30 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.91/1.30 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.30 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.91/1.30 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.30 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), T, X ), ~(
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.91/1.30 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.91/1.30 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.91/1.30 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.91/1.30 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.91/1.30 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 0.91/1.30 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.30 ), X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.30 , X ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.30 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.91/1.30 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.91/1.30 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.91/1.30 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 0.91/1.30 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.30 ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.30 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ),
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.91/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.91/1.30 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.91/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 0.91/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.91/1.30 ,
% 0.91/1.30 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.91/1.30 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.91/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.91/1.30 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.91/1.30 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.91/1.30 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.30 X ), T, X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.91/1.30 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.30 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.91/1.30 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.91/1.30 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T,
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.91/1.30 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, T
% 0.91/1.30 , X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.91/1.30 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T,
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.91/1.30 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( T, Y
% 0.91/1.30 , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Z, X ) ), ~(
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.91/1.30 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.91/1.30 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.91/1.30 ), Y ) ],
% 0.91/1.30 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.91/1.30 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.91/1.30 ) ) ],
% 0.91/1.30 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.91/1.30 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.91/1.30 ) ) ],
% 0.91/1.30 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.91/1.30 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.91/1.30 ), Y ) ],
% 0.91/1.30 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.91/1.30 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.91/1.30 ), Y ) ],
% 0.91/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.91/1.30 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 0.91/1.30 , X ) ) ],
% 0.91/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.91/1.30 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.91/1.30 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 0.91/1.30 , X ) ) ],
% 0.91/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.91/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 0.91/1.30 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.91/1.30 , X ) ) ],
% 0.91/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.91/1.30 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 0.91/1.30 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.91/1.30 , X ) ) ],
% 0.91/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.91/1.30 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.91/1.30 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 0.91/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.91/1.30 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.91/1.30 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 0.91/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.91/1.30 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.91/1.30 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.91/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.91/1.30 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.91/1.30 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.91/1.30 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~( =(
% 0.91/1.30 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 0.91/1.30 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.30 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), =(
% 0.91/1.30 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.30 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.91/1.30 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 0.91/1.30 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.30 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.91/1.30 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 0.91/1.30 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.30 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.30 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.30 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.30 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.30 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.30 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.30 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.91/1.30 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.30 , X ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.91/1.30 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 0.91/1.30 ), X ), Y ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( Y,
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 0.91/1.30 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 0.91/1.30 , X ) ) ],
% 0.91/1.30 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), ~( =(
% 0.91/1.30 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y ) ), =( Y,
% 0.91/1.30 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.30 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.91/1.30 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.91/1.31 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 0.91/1.31 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.91/1.31 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ), =( Z,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.31 ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.91/1.31 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.91/1.31 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.31 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.31 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.31 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.91/1.31 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 0.91/1.31 ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ],
% 0.91/1.31 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 0.91/1.31 'class_RealVector_Oreal__normed__field'( X ) ), ~( =(
% 0.91/1.31 'c_Transcendental_Oexp'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ]
% 0.91/1.31 ,
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.91/1.31 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.91/1.31 ,
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y, X ), ~( 'c_lessequals'( Z,
% 0.91/1.31 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X ), ~( 'c_lessequals'( Y,
% 0.91/1.31 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.91/1.31 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.31 X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 0.91/1.31 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.31 X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 0.91/1.31 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.31 X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.91/1.31 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.91/1.31 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 0.91/1.31 X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.91/1.31 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_lessequals'( Y,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.91/1.31 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 0.91/1.31 X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.91/1.31 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.91/1.31 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.31 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.91/1.31 , Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.31 ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'(
% 0.91/1.31 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.91/1.31 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'(
% 0.91/1.31 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), X ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.31 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.91/1.31 , X ), X ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 0.91/1.31 Z, T, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ]
% 0.91/1.31 ,
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.91/1.31 'class_Int_Onumber'( X ) ), ~( =( 'c_HOL_Oinverse__class_Odivide'( Y, Z,
% 0.91/1.31 X ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), =( Y,
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( T, X )
% 0.91/1.31 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.91/1.31 'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.31 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 0.91/1.31 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 0.91/1.31 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 0.91/1.31 , X ) ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.91/1.31 'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 0.91/1.31 , Z, X ), Z, X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), =( Z,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.91/1.31 'class_Int_Onumber'( X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.91/1.31 , X ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y ), =(
% 0.91/1.31 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.31 ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.91/1.31 'class_Int_Onumber'( X ) ), =( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.91/1.31 , X ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), =(
% 0.91/1.31 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.31 ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.91/1.31 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.91/1.31 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.31 ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.91/1.31 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 0.91/1.31 ~( 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 0.91/1.31 , 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.91/1.31 'class_Int_Onumber'( X ) ), =( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 0.91/1.31 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.31 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), Z, X ) ), =( Z,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.91/1.31 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.31 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.91/1.31 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.91/1.31 Z, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.91/1.31 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.31 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.91/1.31 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.31 , T, X ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.91/1.31 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.31 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.91/1.31 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.31 , T, X ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 0.91/1.31 ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.91/1.31 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ),
% 0.91/1.31 ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X
% 0.91/1.31 ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.91/1.31 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.91/1.31 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.91/1.31 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X
% 0.91/1.31 ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.91/1.31 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.91/1.31 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.91/1.31 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.31 , Z, X ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.91/1.31 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.31 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.91/1.31 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.31 , Z, X ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.91/1.31 ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.91/1.31 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 0.91/1.31 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 0.91/1.31 , Y, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.91/1.31 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.91/1.31 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.31 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.91/1.31 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 0.91/1.31 ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.91/1.31 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 0.91/1.31 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 0.91/1.31 , 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.91/1.31 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 0.91/1.31 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.31 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.31 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.91/1.31 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.31 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.31 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 0.91/1.31 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.91/1.31 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.91/1.31 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.31 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.31 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.91/1.31 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.31 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.31 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T,
% 0.91/1.31 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.91/1.31 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 0.91/1.31 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.31 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), Z, X ),
% 0.91/1.31 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.91/1.31 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.31 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.91/1.31 ,
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.91/1.31 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 0.91/1.31 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.91/1.31 ,
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.91/1.31 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.31 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.91/1.31 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.31 Y, T, X ), Z, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.91/1.31 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.31 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.91/1.31 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.31 Y, T, X ), Z, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.91/1.31 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.91/1.31 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.91/1.31 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.91/1.31 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.31 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.91/1.31 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.91/1.31 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 0.91/1.31 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 0.91/1.31 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.31 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), Z, X ) ) ],
% 0.91/1.31 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.91/1.31 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 0.91/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 0.91/1.31 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 0.91/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.91/1.31 ,
% 0.91/1.31 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.91/1.31 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 0.91/1.31 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.91/1.31 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.91/1.31 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.91/1.31 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.91/1.31 Y, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.91/1.31 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.91/1.31 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.91/1.31 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.91/1.31 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.91/1.31 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.91/1.31 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.31 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.31 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.31 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.91/1.31 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.31 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.91/1.31 'v_k', 'tc_nat' ) ],
% 0.91/1.31 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ouminus__class_Ouminus'(
% 0.91/1.31 Y, X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.91/1.31 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.91/1.31 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oabs__class_Oabs'( Y
% 0.91/1.31 , X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), 'c_HOL_Oabs__class_Oabs'(
% 0.91/1.31 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), X ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.91/1.31 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.91/1.31 , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 0.91/1.31 , X ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z
% 0.91/1.31 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 0.91/1.31 ), X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.91/1.31 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 0.91/1.31 , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.91/1.31 ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.91/1.31 ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.91/1.31 ), X ), Z, X ) ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.91/1.31 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.91/1.31 T, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.91/1.31 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.91/1.31 X ), Z, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.91/1.31 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.91/1.31 T, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.91/1.31 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.91/1.31 X ), T, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.91/1.31 , X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.91/1.31 T, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.91/1.31 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.91/1.31 X ), T, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.91/1.31 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.91/1.31 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.91/1.31 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.31 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.91/1.31 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 0.91/1.31 , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.31 X ), T, X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, T,
% 0.91/1.31 X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.91/1.31 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.91/1.31 X ), ~( 'c_lessequals'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.91/1.31 ,
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.31 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.91/1.31 , X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.31 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 0.91/1.31 , X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.31 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.91/1.31 , X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.31 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 0.91/1.31 , X ) ) ],
% 0.91/1.31 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.91/1.31 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.91/1.31 X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.91/1.31 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.91/1.31 X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.91/1.31 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.91/1.31 X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.91/1.31 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.91/1.31 X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.91/1.31 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.31 Y, Y, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.91/1.31 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.31 Y, Z, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.91/1.31 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.91/1.31 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.91/1.31 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.91/1.31 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.91/1.31 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.91/1.31 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.91/1.31 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, X )
% 0.91/1.31 , 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.91/1.31 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.91/1.31 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.91/1.31 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.91/1.31 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.91/1.31 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 0.91/1.31 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.91/1.31 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 0.91/1.31 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), X ) ), =( Z,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.31 ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.91/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.91/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.91/1.31 Z, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.91/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.91/1.31 Z, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.91/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.91/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.91/1.31 , X ), Z, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.91/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.91/1.31 , X ), Z, X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ]
% 0.91/1.31 ,
% 0.91/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.91/1.31 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 0.91/1.31 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~(
% 0.91/1.31 'c_lessequals'( Y, Z, X ) ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.91/1.31 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 0.91/1.31 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~(
% 0.91/1.31 'c_lessequals'( Y, Z, X ) ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.91/1.31 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.91/1.31 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.31 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.31 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.91/1.31 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.91/1.31 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.91/1.31 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.91/1.31 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.91/1.31 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.91/1.31 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.91/1.31 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y
% 0.91/1.31 , X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.91/1.31 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.91/1.31 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Z
% 0.91/1.31 , X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ), =( Z,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.31 ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.91/1.31 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.31 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.91/1.31 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 0.91/1.31 , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.31 X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Y, T, X ),
% 0.91/1.31 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.91/1.31 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.91/1.31 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.31 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.91/1.31 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.91/1.31 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.31 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T,
% 0.91/1.31 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ), ~(
% 0.91/1.31 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 0.91/1.31 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.91/1.31 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 0.91/1.31 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.31 ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.91/1.31 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ), ~( 'c_lessequals'(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.91/1.31 ), X ), Z, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.91/1.31 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.91/1.31 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.31 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.91/1.31 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.31 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_lessequals'( Y,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.91/1.31 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 0.91/1.31 ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.31 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.31 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T,
% 0.91/1.31 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.91/1.31 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.91/1.31 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.31 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T
% 0.91/1.31 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.31 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.91/1.31 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.91/1.31 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.31 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.31 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.91/1.31 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.91/1.31 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 0.91/1.31 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.31 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.31 Y, 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.31 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =(
% 0.91/1.31 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 0.91/1.31 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 0.91/1.31 , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), =( Y
% 0.91/1.31 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.91/1.31 , X ) ) ],
% 0.91/1.31 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.91/1.31 ), 'tc_nat' ) ) ],
% 0.91/1.31 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 0.91/1.31 ), 'tc_nat' ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.91/1.31 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.91/1.31 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.91/1.31 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.91/1.31 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.91/1.31 , X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.91/1.31 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.91/1.31 ,
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( 'class_Int_Onumber'( X )
% 0.91/1.31 ), =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 0.91/1.31 X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ),
% 0.91/1.31 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.91/1.31 'c_Int_Onumber__class_Onumber__of'( T, X ), X ),
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.91/1.31 ), X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.91/1.31 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.91/1.31 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.91/1.31 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 0.91/1.31 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.91/1.31 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.91/1.31 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.91/1.31 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 0.91/1.31 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.91/1.31 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.91/1.31 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.91/1.31 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 0.91/1.31 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.91/1.31 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.91/1.31 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 0.91/1.31 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 0.91/1.31 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.91/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.91/1.31 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 0.91/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( Z, T, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.91/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.91/1.31 , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 0.91/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.91/1.31 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.91/1.31 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.91/1.31 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.31 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~(
% 0.91/1.31 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.31 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.91/1.31 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ),
% 0.91/1.31 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.91/1.31 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 0.91/1.31 X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ), =(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 0.91/1.31 , T, X ), Z ), =( T, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 0.91/1.31 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 0.91/1.31 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.31 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 0.91/1.31 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.91/1.31 ,
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.31 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.31 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.91/1.31 ,
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.91/1.31 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.91/1.31 X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.31 X ), T, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.91/1.31 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 0.91/1.31 Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.31 X ), Z, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.91/1.31 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.91/1.31 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.91/1.31 X ), Z, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.91/1.31 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.91/1.31 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 0.91/1.31 Z, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.91/1.31 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z,
% 0.91/1.31 X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 0.91/1.31 Z, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 0.91/1.31 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 0.91/1.31 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, T,
% 0.91/1.31 X ), Z, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.91/1.31 'class_Int_Onumber'( X ) ), =( Y, 'c_HOL_Oinverse__class_Odivide'(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 0.91/1.31 ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), =(
% 0.91/1.31 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.31 ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.91/1.31 'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 0.91/1.31 ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y ), =(
% 0.91/1.31 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.31 ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 0.91/1.31 , 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 0.91/1.31 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X
% 0.91/1.31 ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.91/1.31 'class_Int_Onumber'( X ) ), =( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 0.91/1.31 ), X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( U, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), U, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 0.91/1.31 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 0.91/1.31 ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~( 'c_lessequals'(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( Z,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( Y,
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~( 'c_lessequals'( Y,
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'( Z,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.91/1.31 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.91/1.31 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.91/1.31 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.91/1.31 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.91/1.31 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.91/1.31 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.91/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oone__class_Oone'( X ), Y,
% 0.91/1.31 X ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 0.91/1.31 ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.91/1.31 ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.91/1.31 ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.91/1.31 ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 0.91/1.31 ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.91/1.31 ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 0.91/1.31 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 0.91/1.31 ), =( Y, 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.91/1.31 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 0.91/1.31 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.91/1.31 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), T, X ),
% 0.91/1.31 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.91/1.31 , T, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), X ) ), =( Z
% 0.91/1.31 , 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.31 ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.91/1.31 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_Power_Opower__class_Opower'( T, Y, X ), 'c_Power_Opower__class_Opower'(
% 0.91/1.31 T, Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 0.91/1.31 X ), T, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.91/1.31 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_Power_Opower__class_Opower'( T, Y, X ), 'c_Power_Opower__class_Opower'(
% 0.91/1.31 T, Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 0.91/1.31 X ), T, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), =(
% 0.91/1.31 'c_Power_Opower__class_Opower'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z
% 0.91/1.31 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'(
% 0.91/1.31 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'( X ), X ), Z, X
% 0.91/1.31 ), 'c_Power_Opower__class_Opower'( Y, Z, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.91/1.31 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 0.91/1.31 , Y, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.91/1.31 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 0.91/1.31 , Y, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 'class_Int_Onumber'( X )
% 0.91/1.31 ), =( 'c_HOL_Oinverse__class_Oinverse'(
% 0.91/1.31 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ),
% 0.91/1.31 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.91/1.31 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.91/1.31 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.91/1.31 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.91/1.31 X ) ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.91/1.31 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 0.91/1.31 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Z, Y, X ), X ) )
% 0.91/1.31 ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.91/1.31 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.91/1.31 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 0.91/1.31 ,
% 0.91/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.91/1.31 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.91/1.31 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 0.91/1.31 ,
% 0.91/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.91/1.31 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.91/1.31 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.91/1.31 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.91/1.31 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( T, U, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.91/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 0.91/1.31 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.91/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.91/1.31 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 0.91/1.31 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.91/1.31 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 0.91/1.31 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.91/1.31 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.91/1.31 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.91/1.31 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 0.91/1.31 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.91/1.31 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.91/1.31 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.91/1.31 X ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.91/1.31 Y, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'(
% 0.91/1.31 Y, Z, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.91/1.31 'c_HOL_Oinverse__class_Oinverse'( 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.91/1.31 ), X ), 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.91/1.31 Y, X ), Z, X ) ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 0.91/1.31 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.31 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 0.91/1.31 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.31 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.31 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 0.91/1.31 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.91/1.31 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'( Y, Z, X ), X )
% 0.91/1.31 , 'c_Power_Opower__class_Opower'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X
% 0.91/1.31 ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.91/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Power_Opower__class_Opower'( Y
% 0.91/1.31 , Z, X ), 'c_Power_Opower__class_Opower'( T, Z, X ), X ), ~(
% 0.91/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.91/1.31 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.91/1.31 ), X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.91/1.31 Y, X ), Z, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.91/1.31 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.91/1.31 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.91/1.31 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.91/1.31 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Odivide'( Y, Z,
% 0.91/1.31 X ), X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.91/1.31 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, T, X )
% 0.91/1.31 , 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.91/1.31 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ],
% 0.91/1.31 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.91/1.31 Z, X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.91/1.31 Y, Z, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.91/1.31 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 0.91/1.31 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.91/1.31 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.91/1.31 , T, X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.31 Y, T, X ), Z, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.91/1.31 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( T, Z, 'tc_nat' ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.91/1.31 'c_Power_Opower__class_Opower'( Y, Z, X ), X ),
% 0.91/1.31 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.91/1.31 ,
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.31 'c_HOL_Oone__class_Oone'( X ), X ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.91/1.31 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.31 X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ), X ) ]
% 0.91/1.31 ,
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 0.91/1.31 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.91/1.31 'c_Transcendental_Oexp'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.91/1.31 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.31 , X ) ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.91/1.31 , X ) ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.91/1.31 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.31 , X ) ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.91/1.31 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.91/1.31 ,
% 0.91/1.31 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.91/1.31 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.91/1.31 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.91/1.31 'c_HOL_Oinverse__class_Oinverse'( 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.91/1.31 ), X ), 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.91/1.31 Y, X ), Z, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.31 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.91/1.31 ,
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.91/1.31 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.91/1.31 ,
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.91/1.31 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.91/1.31 ,
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 0.91/1.31 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.31 ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.91/1.31 ), =( 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 0.91/1.31 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.91/1.31 ), ~( =( 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.31 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.91/1.31 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.91/1.31 T, Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 0.91/1.31 ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_lessequals'( Y,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.91/1.31 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.31 ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y, X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.91/1.31 , U, X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( U,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 0.91/1.31 , U, X ), 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), =( U,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.31 ), =( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.91/1.31 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 0.91/1.31 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( Y
% 0.91/1.31 , X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.91/1.31 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.91/1.31 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.91/1.31 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 0.91/1.31 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.91/1.31 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.31 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.31 X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.91/1.31 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.31 Y, 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), T, X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 0.91/1.31 ), X ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T,
% 0.91/1.31 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.91/1.31 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.91/1.31 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.31 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T,
% 0.91/1.31 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.31 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.91/1.31 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.91/1.31 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.31 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.31 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'( Z,
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( T
% 0.91/1.31 , X ), X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.91/1.31 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 0.91/1.31 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.31 ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.91/1.31 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.31 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.91/1.31 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.91/1.31 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.31 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.31 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.91/1.31 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.91/1.31 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.31 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.31 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.91/1.31 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.91/1.31 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 0.91/1.31 ), X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.31 X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.91/1.31 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 0.91/1.31 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.91/1.31 ), X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.31 ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.91/1.31 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.91/1.31 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.31 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.31 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.31 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 0.91/1.31 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.31 Z, X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.91/1.31 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.91/1.31 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.91/1.31 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.91/1.31 'c_lessequals'( Z, Y, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 0.91/1.31 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.31 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.91/1.31 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.91/1.31 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.91/1.31 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.91/1.31 'c_lessequals'( Z, Y, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.91/1.31 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 0.91/1.31 X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.91/1.31 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.91/1.31 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.91/1.31 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 0.91/1.31 , T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.31 ), T, X ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.91/1.31 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 0.91/1.31 , T, X ), Z, X ) ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.91/1.31 'c_lessequals'( Y, 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.91/1.31 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 0.91/1.31 , T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 0.91/1.31 , T, X ), Z, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.91/1.31 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'( Y, Y
% 0.91/1.31 , X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.91/1.31 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.91/1.31 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.91/1.31 Y, X ), X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.91/1.31 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 0.91/1.31 , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.91/1.31 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.31 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.91/1.31 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.31 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.31 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.91/1.31 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.91/1.31 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.91/1.31 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.31 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.91/1.31 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 0.91/1.31 , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_lessequals'(
% 0.91/1.31 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.91/1.31 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'(
% 0.91/1.31 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ),
% 0.91/1.31 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'( Y, Z, X ), X )
% 0.91/1.31 ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ),
% 0.91/1.31 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) )
% 0.91/1.31 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.91/1.31 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'(
% 0.91/1.31 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.91/1.31 X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.91/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.91/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.91/1.31 Z, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.91/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.91/1.31 Z, X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.91/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.91/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oabs__class_Oabs'( Z, X
% 0.91/1.31 ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.91/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oabs__class_Oabs'( Z, X
% 0.91/1.31 ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.91/1.31 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 0.91/1.31 , X ) ) ],
% 0.91/1.31 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.91/1.31 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.91/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.91/1.31 , Y, X ) ) ],
% 0.91/1.31 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.91/1.31 , Y, X ) ) ],
% 0.91/1.31 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.91/1.31 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 0.91/1.31 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oabs__class_Oabs'(
% 0.91/1.31 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 0.91/1.31 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.31 ), X ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.91/1.31 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.91/1.31 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.91/1.31 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 0.91/1.31 ,
% 0.91/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ),
% 0.91/1.31 ~( 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 0.91/1.31 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'(
% 0.91/1.31 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 0.91/1.31 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ),
% 0.91/1.31 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.91/1.31 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 0.91/1.31 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ],
% 0.91/1.31 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 0.91/1.31 'tc_nat' ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.91/1.31 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 0.91/1.31 X ), X ) ) ],
% 0.91/1.31 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.31 Y, 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.91/1.31 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.91/1.31 Z, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'(
% 0.91/1.31 Z, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 0.91/1.31 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 0.91/1.31 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =(
% 0.91/1.31 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.91/1.31 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.91/1.31 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 0.91/1.31 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.31 ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.31 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ), ~(
% 0.91/1.31 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.31 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.91/1.31 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.91/1.31 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 0.91/1.31 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.31 ), X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.31 , X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 0.91/1.31 ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.91/1.31 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.91/1.31 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.31 ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.91/1.31 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 0.91/1.31 ~( 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.91/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.91/1.31 , X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 0.91/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( Z, U, X ) ), ~(
% 0.91/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.91/1.31 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ]
% 0.91/1.31 ,
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.91/1.31 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~(
% 0.91/1.31 'c_lessequals'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ]
% 0.91/1.31 ,
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.91/1.31 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.91/1.31 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.91/1.31 , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 0.91/1.31 , X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T,
% 0.91/1.31 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.31 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.91/1.31 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 0.91/1.31 , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.91/1.31 ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.91/1.31 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.31 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.31 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ) ]
% 0.91/1.31 ,
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.91/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Power_Opower__class_Opower'(
% 0.91/1.31 Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.31 'tc_nat' ), Z, 'tc_nat' ) ) ],
% 0.91/1.31 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.91/1.31 ,
% 0.91/1.31 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.91/1.31 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.91/1.31 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 0.91/1.31 , X ) ) ],
% 0.91/1.31 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.91/1.31 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 0.91/1.31 , X ) ) ],
% 0.91/1.31 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.91/1.31 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.91/1.31 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.91/1.31 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 0.91/1.31 ) ) ],
% 0.91/1.31 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.91/1.31 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 0.91/1.31 ) ) ],
% 0.91/1.31 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.91/1.31 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.91/1.31 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.91/1.31 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.91/1.31 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.91/1.31 ), X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.31 , X ), ~( 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.31 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.91/1.31 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.91/1.31 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.91/1.31 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 0.91/1.31 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.91/1.31 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 0.91/1.31 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.91/1.31 'c_Transcendental_Oexp'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.91/1.31 'c_HOL_Oinverse__class_Oinverse'( 'c_Transcendental_Oexp'( Y, X ), X ) )
% 0.91/1.31 ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.91/1.31 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 0.91/1.31 , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 0.91/1.31 , X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T,
% 0.91/1.31 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ), ~(
% 0.91/1.31 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 0.91/1.31 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.91/1.31 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 0.91/1.31 , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.91/1.31 ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.91/1.31 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ), ~( 'c_lessequals'(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 0.91/1.31 ), X ), Z, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.91/1.31 , Y, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.91/1.31 , T, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Z, T, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.91/1.31 , T, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.91/1.31 , Y, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.31 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.31 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.91/1.31 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 0.91/1.31 ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 0.91/1.31 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 0.91/1.31 ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.91/1.31 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oabs__class_Oabs'(
% 0.91/1.31 Y, X ), X ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 0.91/1.31 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ) ) ),
% 0.91/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ],
% 0.91/1.31 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.91/1.31 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.91/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.91/1.31 'c_lessequals'( Z, Y, X ) ],
% 0.91/1.31 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.91/1.31 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.91/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.91/1.31 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.91/1.31 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.91/1.31 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.91/1.31 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 0.91/1.31 , X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( Y,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.31 ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( Z,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.31 ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.31 ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.31 ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =(
% 0.91/1.31 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 0.91/1.31 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.91/1.31 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.31 X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.91/1.31 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ), =( Z,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.91/1.31 ,
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.91/1.31 ,
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.91/1.31 ,
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.91/1.31 ,
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.91/1.31 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.31 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.91/1.31 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ]
% 0.91/1.31 ,
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 0.91/1.31 , X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.91/1.31 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.91/1.31 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.91/1.31 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ]
% 0.91/1.31 ,
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y
% 0.91/1.31 , X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'( Z,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 0.91/1.31 ,
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 0.91/1.31 ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Oinverse__class_Odivide'(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ), Z ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.91/1.31 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.91/1.31 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.91/1.31 'class_Int_Onumber'( X ) ), ~( =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_Int_Onumber__class_Onumber__of'(
% 0.91/1.31 Z, X ) ) ), =( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.91/1.31 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 0.91/1.31 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.91/1.31 , 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.91/1.31 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 0.91/1.31 X ), 'c_HOL_Oinverse__class_Odivide'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.31 , X ) ) ), =( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.91/1.31 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 0.91/1.31 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 0.91/1.31 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.91/1.31 ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.91/1.31 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 0.91/1.31 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.31 X ), 'c_HOL_Oinverse__class_Odivide'( Z,
% 0.91/1.31 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.31 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 0.91/1.31 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.31 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.91/1.31 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.91/1.31 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.91/1.31 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.91/1.31 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ), =( Z,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 0.91/1.31 ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.91/1.31 ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 0.91/1.31 ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.91/1.31 ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.91/1.31 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ), =( Z,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.91/1.31 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ), =( Y,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 0.91/1.31 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 0.91/1.31 Y, T, X ) ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X
% 0.91/1.31 ), Y, X ) ), =( Z, T ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 0.91/1.31 'c_HOL_Oone__class_Oone'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X )
% 0.91/1.31 , X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.91/1.31 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 0.91/1.31 , X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.91/1.31 [ ~( 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'( Y,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'( X
% 0.91/1.31 ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.91/1.31 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oone__class_Oone'( X ),
% 0.91/1.31 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 0.91/1.31 ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.91/1.31 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.91/1.31 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.91/1.31 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Oinverse'( Y
% 0.91/1.31 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y
% 0.91/1.31 , X ) ) ],
% 0.91/1.31 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 0.91/1.31 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.91/1.31 'c_Transcendental_Oexp'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Oexp'( Y, X ),
% 0.91/1.31 'c_Transcendental_Oexp'( Z, X ), X ) ) ],
% 0.91/1.31 [ 'c_HOL_Oord__class_Oless'( 'v_k', 'v_n', 'tc_nat' ) ],
% 0.91/1.31 [ =( 'c_Complex_Oexpi'( 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.31 'tc_Complex_Ocomplex' ) ), 'c_HOL_Oone__class_Oone'(
% 0.91/1.31 'tc_Complex_Ocomplex' ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 0.91/1.31 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 0.91/1.31 X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 0.91/1.31 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.91/1.31 ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 0.91/1.31 ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 0.91/1.31 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.91/1.31 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.91/1.31 ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.91/1.31 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.91/1.31 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 0.91/1.31 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 0.91/1.31 ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.91/1.31 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.91/1.31 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.31 X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.91/1.31 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ), ~( 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.91/1.31 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.91/1.31 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.91/1.31 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 0.91/1.31 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.91/1.31 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.31 ) ],
% 0.91/1.31 [ ~( =( 'c_FFT__Mirabelle_Oroot'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.31 'tc_Complex_Ocomplex' ) ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.91/1.31 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.91/1.31 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.91/1.31 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 0.91/1.31 Z, T, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.91/1.31 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.91/1.31 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.91/1.31 ,
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y
% 0.91/1.31 ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.91/1.31 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, Z ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~(
% 0.91/1.31 =( 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.31 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 0.91/1.31 ), ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.91/1.31 ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.91/1.31 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.91/1.31 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.91/1.31 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 0.91/1.31 Z, T, X ), X ) ) ],
% 0.91/1.31 [ =( 'c_Power_Opower__class_Opower'( 'c_FFT__Mirabelle_Oroot'( X ), X,
% 0.91/1.31 'tc_Complex_Ocomplex' ), 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex'
% 0.91/1.31 ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 0.91/1.31 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.91/1.31 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.91/1.31 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.91/1.31 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.91/1.31 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.91/1.31 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.31 ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.91/1.31 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.31 ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.91/1.31 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 0.91/1.31 ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.91/1.31 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.31 ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.91/1.31 X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y, X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ),
% 0.91/1.31 'c_Power_Opower__class_Opower'( Y, Z, X ), X ),
% 0.91/1.31 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'(
% 0.91/1.31 'c_HOL_Oone__class_Oone'( X ), Y, X ), Z, X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 0.91/1.31 , Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.91/1.31 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.91/1.31 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.91/1.31 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.91/1.31 , T, X ) ) ), =( Z, T ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.91/1.31 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.91/1.31 , T, X ) ) ), =( Y, Z ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.91/1.31 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.31 ) ), =( Y, Z ) ],
% 0.91/1.31 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.91/1.31 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.91/1.31 ) ), =( Y, Z ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.91/1.31 X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.91/1.31 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.91/1.31 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.91/1.31 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.91/1.31 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.91/1.31 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.91/1.31 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.91/1.31 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.91/1.31 [ ~( =( 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 0.91/1.31 'c_Power_Opower__class_Opower'( 'c_Power_Opower__class_Opower'(
% 0.91/1.31 'c_FFT__Mirabelle_Oroot'( 'v_n' ), 'v_n', 'tc_Complex_Ocomplex' ), 'v_k'
% 0.91/1.31 , 'tc_Complex_Ocomplex' ), 'c_HOL_Oone__class_Oone'(
% 0.91/1.31 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ),
% 0.91/1.31 'c_HOL_Ominus__class_Ominus'( 'c_Power_Opower__class_Opower'(
% 0.91/1.31 'c_FFT__Mirabelle_Oroot'( 'v_n' ), 'v_k', 'tc_Complex_Ocomplex' ),
% 0.91/1.31 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex'
% 0.91/1.31 ), 'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'(
% 0.91/1.31 'tc_Complex_Ocomplex' ) ) ) ],
% 0.91/1.31 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 0.91/1.31 ],
% 0.91/1.31 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_nat' ) ]
% 0.91/1.31 ,
% 0.91/1.31 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 0.91/1.31 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' ) ],
% 0.91/1.31 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_nat' ) ],
% 0.91/1.31 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 0.91/1.31 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 0.91/1.31 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 0.91/1.31 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 0.91/1.31 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 0.91/1.31 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 0.91/1.31 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ],
% 0.91/1.31 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_nat' ) ],
% 0.91/1.31 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 0.91/1.31 [ 'class_Ring__and__Field_Omult__mono'( 'tc_nat' ) ],
% 0.91/1.31 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 0.91/1.31 [ 'class_Ring__and__Field_Odvd'( 'tc_nat' ) ],
% 0.91/1.31 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 0.91/1.31 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.91/1.31 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 0.91/1.31 [ 'class_Power_Opower'( 'tc_nat' ) ],
% 0.91/1.31 [ 'class_Int_Onumber'( 'tc_nat' ) ],
% 0.91/1.31 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 0.91/1.31 'tc_Int_Oint' ) ],
% 0.91/1.31 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_Int_Oint' )
% 0.91/1.31 ],
% 0.91/1.31 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'( 'tc_Int_Oint' )
% 0.91/1.31 ],
% 0.91/1.31 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_Int_Oint' ) ]
% 0.91/1.31 ,
% 0.91/1.31 [ 'class_OrderedGroup_Opordered__ab__group__add__abs'( 'tc_Int_Oint' ) ]
% 0.91/1.31 ,
% 0.91/1.31 [ 'class_OrderedGroup_Olordered__ab__group__add__abs'( 'tc_Int_Oint' ) ]
% 0.91/1.31 ,
% 0.91/1.31 [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_Int_Oint' ) ]
% 0.91/1.31 ,
% 0.91/1.31 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_Int_Oint' ) ]
% 0.91/1.31 ,
% 0.91/1.31 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 0.91/1.31 [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 0.91/1.31 [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 0.91/1.31 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_Int_Oint' ) ],
% 0.91/1.31 [ 'class_Ring__and__Field_Opordered__ring__abs'( 'tc_Int_Oint' ) ],
% 0.91/1.31 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_Int_Oint' ) ],
% 0.91/1.31 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Int_Oint' ) ],
% 0.91/1.31 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_Int_Oint' ) ],
% 0.91/1.31 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Int_Oint' ) ],
% 0.91/1.31 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Int_Oint' ) ],
% 0.91/1.31 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Int_Oint' ) ],
% 0.91/1.31 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_Int_Oint' ) ],
% 0.91/1.31 [ 'class_Ring__and__Field_Olordered__ring'( 'tc_Int_Oint' ) ],
% 0.91/1.31 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Int_Oint' ) ],
% 0.91/1.31 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_Int_Oint' ) ],
% 0.91/1.31 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Int_Oint' ) ],
% 0.91/1.31 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_Int_Oint' ) ],
% 0.91/1.31 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_Int_Oint' ) ],
% 0.91/1.31 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Int_Oint' ) ],
% 0.91/1.31 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Int_Oint' ) ],
% 0.91/1.31 [ 'class_Ring__and__Field_Omult__mono'( 'tc_Int_Oint' ) ],
% 0.91/1.31 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Int_Oint' ) ],
% 0.91/1.31 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Int_Oint' ) ],
% 0.91/1.31 [ 'class_Ring__and__Field_Oring__1'( 'tc_Int_Oint' ) ],
% 0.91/1.31 [ 'class_Ring__and__Field_Oabs__if'( 'tc_Int_Oint' ) ],
% 0.91/1.31 [ 'class_Ring__and__Field_Oring'( 'tc_Int_Oint' ) ],
% 0.91/1.31 [ 'class_Ring__and__Field_Oidom'( 'tc_Int_Oint' ) ],
% 0.91/1.31 [ 'class_Ring__and__Field_Odvd'( 'tc_Int_Oint' ) ],
% 0.91/1.31 [ 'class_Orderings_Opreorder'( 'tc_Int_Oint' ) ],
% 0.91/1.31 [ 'class_Orderings_Olinorder'( 'tc_Int_Oint' ) ],
% 0.91/1.31 [ 'class_Orderings_Oorder'( 'tc_Int_Oint' ) ],
% 0.91/1.31 [ 'class_Int_Oring__char__0'( 'tc_Int_Oint' ) ],
% 0.91/1.31 [ 'class_Int_Onumber__ring'( 'tc_Int_Oint' ) ],
% 0.91/1.31 [ 'class_Power_Opower'( 'tc_Int_Oint' ) ],
% 0.91/1.31 [ 'class_Int_Onumber'( 'tc_Int_Oint' ) ],
% 0.91/1.31 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 0.91/1.31 'tc_Complex_Ocomplex' ) ],
% 0.91/1.31 [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 0.91/1.31 'tc_Complex_Ocomplex' ) ],
% 0.91/1.31 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Complex_Ocomplex' )
% 0.91/1.31 ],
% 0.91/1.31 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_Complex_Ocomplex' )
% 0.91/1.31 ],
% 0.91/1.31 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Complex_Ocomplex' ) ]
% 0.91/1.31 ,
% 0.91/1.31 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_Complex_Ocomplex' ) ]
% 0.91/1.31 ,
% 0.91/1.31 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Complex_Ocomplex' ) ]
% 0.91/1.31 ,
% 0.91/1.31 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Complex_Ocomplex' ) ]
% 0.91/1.31 ,
% 0.91/1.31 [ 'class_Ring__and__Field_Odivision__ring'( 'tc_Complex_Ocomplex' ) ]
% 0.91/1.31 ,
% 0.91/1.31 [ 'class_RealVector_Oreal__normed__field'( 'tc_Complex_Ocomplex' ) ]
% 0.91/1.31 ,
% 0.91/1.31 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Complex_Ocomplex' ) ]
% 0.91/1.31 ,
% 0.91/1.31 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Complex_Ocomplex' ) ]
% 0.91/1.31 ,
% 0.91/1.31 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_Complex_Ocomplex' ) ],
% 0.91/1.31 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Complex_Ocomplex' ) ],
% 0.91/1.31 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Complex_Ocomplex' ) ],
% 0.91/1.31 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Complex_Ocomplex' ) ],
% 0.91/1.31 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Complex_Ocomplex' ) ],
% 0.91/1.31 [ 'class_Ring__and__Field_Oring__1'( 'tc_Complex_Ocomplex' ) ],
% 0.91/1.31 [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex' ) ],
% 0.91/1.31 [ 'class_Ring__and__Field_Oring'( 'tc_Complex_Ocomplex' ) ],
% 0.91/1.31 [ 'class_Ring__and__Field_Oidom'( 'tc_Complex_Ocomplex' ) ],
% 0.91/1.31 [ 'class_Ring__and__Field_Odvd'( 'tc_Complex_Ocomplex' ) ],
% 0.91/1.31 [ 'class_Int_Oring__char__0'( 'tc_Complex_Ocomplex' ) ],
% 0.91/1.31 [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ],
% 0.91/1.31 [ 'class_Power_Opower'( 'tc_Complex_Ocomplex' ) ],
% 0.91/1.31 [ 'class_SEQ_Obanach'( 'tc_Complex_Ocomplex' ) ],
% 0.91/1.31 [ 'class_Int_Onumber'( 'tc_Complex_Ocomplex' ) ]
% 0.91/1.31 ] .
% 0.91/1.31
% 0.91/1.31
% 0.91/1.31 percentage equality = 0.129646, percentage horn = 0.778774
% 0.91/1.31 This is a problem with some equality
% 0.91/1.31
% 0.91/1.31
% 0.91/1.31
% 0.91/1.31 Options Used:
% 0.91/1.31
% 0.91/1.31 useres = 1
% 0.91/1.31 useparamod = 1
% 0.91/1.31 useeqrefl = 1
% 0.91/1.31 useeqfact = 1
% 0.91/1.31 usefactor = 1
% 0.91/1.31 usesimpsplitting = 0
% 0.91/1.31 usesimpdemod = 5
% 0.91/1.31 usesimpres = 3
% 0.91/1.31
% 0.91/1.31 resimpinuse = 1000
% 0.91/1.31 resimpclauses = 20000
% 0.91/1.31 substype = eqrewr
% 0.91/1.31 backwardsubs = 1
% 0.91/1.31 selectoldest = 5
% 0.91/1.31
% 0.91/1.31 litorderings [0] = split
% 0.91/1.31 litorderings [1] = extend the termordering, first sorting on arguments
% 0.91/1.31
% 0.91/1.31 termordering = kbo
% 0.91/1.31
% 0.91/1.31 litapriori = 0
% 0.91/1.31 termapriori = 1
% 0.91/1.31 litaposteriori = 0
% 0.91/1.31 termaposteriori = 0
% 0.91/1.31 demodaposteriori = 0
% 0.91/1.31 ordereqreflfact = 0
% 0.91/1.31
% 0.91/1.31 litselect = negord
% 0.91/1.31
% 0.91/1.31 maxweight = 15
% 0.91/1.31 maxdepth = 30000
% 0.91/1.31 maxlength = 115
% 0.91/1.31 maxnrvars = 195
% 0.91/1.31 excuselevel = 1
% 0.91/1.31 increasemaxweight = 1
% 0.91/1.31
% 0.91/1.31 maxselected = 10000000
% 0.91/1.31 maxnrclauses = 10000000
% 0.91/1.31
% 0.91/1.31 showgenerated = 0
% 0.91/1.31 showkept = 0
% 0.91/1.31 showselected = 0
% 0.91/1.31 showdeleted = 0
% 0.91/1.31 showresimp = 1
% 0.91/1.31 showstatus = 2000
% 0.91/1.31
% 0.91/1.31 prologoutput = 1
% 0.91/1.31 nrgoals = 5000000
% 0.91/1.31 totalproof = 1
% 0.91/1.31
% 0.91/1.31 Symbols occurring in the translation:
% 0.91/1.31
% 0.91/1.31 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.91/1.31 . [1, 2] (w:1, o:103, a:1, s:1, b:0),
% 0.91/1.31 ! [4, 1] (w:0, o:42, a:1, s:1, b:0),
% 0.91/1.31 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.91/1.31 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.91/1.31 'class_OrderedGroup_Opordered__ab__group__add__abs' [40, 1] (w:1, o:
% 0.91/1.31 48, a:1, s:1, b:0),
% 4.74/5.12 'c_lessequals' [43, 3] (w:1, o:133, a:1, s:1, b:0),
% 4.74/5.12 'c_HOL_Oabs__class_Oabs' [44, 2] (w:1, o:128, a:1, s:1, b:0),
% 4.74/5.12 'class_Ring__and__Field_Oordered__semiring__strict' [45, 1] (w:1, o:
% 4.74/5.12 51, a:1, s:1, b:0),
% 4.74/5.12 'c_HOL_Otimes__class_Otimes' [47, 3] (w:1, o:134, a:1, s:1, b:0),
% 4.74/5.12 'c_HOL_Oord__class_Oless' [49, 3] (w:1, o:135, a:1, s:1, b:0),
% 4.74/5.12 'c_HOL_Ozero__class_Ozero' [50, 1] (w:1, o:52, a:1, s:1, b:0),
% 4.74/5.12 'class_Ring__and__Field_Oordered__field' [51, 1] (w:1, o:53, a:1, s:1
% 4.74/5.12 , b:0),
% 4.74/5.12 'class_Ring__and__Field_Odivision__by__zero' [52, 1] (w:1, o:56, a:1
% 4.74/5.12 , s:1, b:0),
% 4.74/5.12 'class_Int_Onumber' [53, 1] (w:1, o:57, a:1, s:1, b:0),
% 4.74/5.12 'c_HOL_Oinverse__class_Odivide' [54, 3] (w:1, o:136, a:1, s:1, b:0),
% 4.74/5.12
% 4.74/5.12 'c_Int_Onumber__class_Onumber__of' [56, 2] (w:1, o:131, a:1, s:1, b:0
% 4.74/5.12 ),
% 4.74/5.12 'class_Ring__and__Field_Ocomm__semiring__1' [57, 1] (w:1, o:55, a:1
% 4.74/5.12 , s:1, b:0),
% 4.74/5.12 'c_Ring__and__Field_Odvd__class_Odvd' [58, 3] (w:1, o:137, a:1, s:1
% 4.74/5.12 , b:0),
% 4.74/5.12 'class_Ring__and__Field_Odvd' [59, 1] (w:1, o:58, a:1, s:1, b:0),
% 4.74/5.12 'class_Ring__and__Field_Oordered__idom' [61, 1] (w:1, o:59, a:1, s:1
% 4.74/5.12 , b:0),
% 4.74/5.12 'class_Int_Onumber__ring' [62, 1] (w:1, o:60, a:1, s:1, b:0),
% 4.74/5.12 'c_HOL_Ouminus__class_Ouminus' [64, 2] (w:1, o:129, a:1, s:1, b:0),
% 4.74/5.12 'class_OrderedGroup_Opordered__ab__group__add' [65, 1] (w:1, o:61, a:
% 4.74/5.12 1, s:1, b:0),
% 4.74/5.12 'c_HOL_Ominus__class_Ominus' [66, 3] (w:1, o:138, a:1, s:1, b:0),
% 4.74/5.12 'class_Ring__and__Field_Odivision__ring' [67, 1] (w:1, o:62, a:1, s:1
% 4.74/5.12 , b:0),
% 4.74/5.12 'c_HOL_Oinverse__class_Oinverse' [68, 2] (w:1, o:130, a:1, s:1, b:0)
% 4.74/5.12 ,
% 4.74/5.12 'class_Orderings_Oorder' [70, 1] (w:1, o:63, a:1, s:1, b:0),
% 4.74/5.12 'class_Orderings_Opreorder' [72, 1] (w:1, o:64, a:1, s:1, b:0),
% 4.74/5.12 'class_Orderings_Olinorder' [73, 1] (w:1, o:65, a:1, s:1, b:0),
% 4.74/5.12 'class_Ring__and__Field_Oordered__ring__strict' [74, 1] (w:1, o:50
% 4.74/5.12 , a:1, s:1, b:0),
% 4.74/5.12 'class_Int_Oring__char__0' [75, 1] (w:1, o:66, a:1, s:1, b:0),
% 4.74/5.12 'c_HOL_Oone__class_Oone' [76, 1] (w:1, o:67, a:1, s:1, b:0),
% 4.74/5.12 'class_Ring__and__Field_Oordered__semidom' [77, 1] (w:1, o:68, a:1
% 4.74/5.12 , s:1, b:0),
% 4.74/5.12 'c_Power_Opower__class_Opower' [79, 3] (w:1, o:139, a:1, s:1, b:0),
% 4.74/5.12 'tc_nat' [80, 0] (w:1, o:29, a:1, s:1, b:0),
% 4.74/5.12 'class_Ring__and__Field_Oordered__comm__semiring__strict' [82, 1] (w:
% 4.74/5.12 1, o:69, a:1, s:1, b:0),
% 4.74/5.12 'class_Ring__and__Field_Olordered__ring' [83, 1] (w:1, o:70, a:1, s:1
% 4.74/5.12 , b:0),
% 4.74/5.12 'class_Ring__and__Field_Oring' [84, 1] (w:1, o:71, a:1, s:1, b:0),
% 4.74/5.12 'class_Ring__and__Field_Oordered__semiring' [86, 1] (w:1, o:72, a:1
% 4.74/5.12 , s:1, b:0),
% 4.74/5.12 'class_Ring__and__Field_Oidom' [87, 1] (w:1, o:73, a:1, s:1, b:0),
% 4.74/5.12 'class_OrderedGroup_Olordered__ab__group__add__abs' [88, 1] (w:1, o:
% 4.74/5.12 74, a:1, s:1, b:0),
% 4.74/5.12 'class_Ring__and__Field_Oabs__if' [89, 1] (w:1, o:75, a:1, s:1, b:0)
% 4.74/5.12 ,
% 4.74/5.12 'class_OrderedGroup_Ogroup__add' [94, 1] (w:1, o:76, a:1, s:1, b:0),
% 4.74/5.12
% 4.74/5.12 'class_Lattices_Oboolean__algebra' [95, 1] (w:1, o:77, a:1, s:1, b:0)
% 4.74/5.12 ,
% 4.74/5.12 'class_Ring__and__Field_Opordered__ring__abs' [97, 1] (w:1, o:78, a:1
% 4.74/5.12 , s:1, b:0),
% 4.74/5.12 'class_OrderedGroup_Oab__semigroup__idem__mult' [98, 1] (w:1, o:79
% 4.74/5.12 , a:1, s:1, b:0),
% 4.74/5.12 'class_Ring__and__Field_Omult__mono1' [99, 1] (w:1, o:80, a:1, s:1
% 4.74/5.12 , b:0),
% 4.74/5.12 'class_Ring__and__Field_Omult__mono' [100, 1] (w:1, o:81, a:1, s:1
% 4.74/5.12 , b:0),
% 4.74/5.12 'class_Ring__and__Field_Opordered__ring' [101, 1] (w:1, o:82, a:1, s:
% 4.74/5.12 1, b:0),
% 4.74/5.12 'class_OrderedGroup_Oordered__ab__group__add' [102, 1] (w:1, o:47, a:
% 4.74/5.12 1, s:1, b:0),
% 4.74/5.12 'class_Ring__and__Field_Oring__no__zero__divisors' [103, 1] (w:1, o:
% 4.74/5.12 83, a:1, s:1, b:0),
% 4.74/5.12 'class_Ring__and__Field_Omult__zero' [104, 1] (w:1, o:84, a:1, s:1
% 4.74/5.12 , b:0),
% 4.74/5.12 'class_RealVector_Oreal__normed__algebra' [105, 1] (w:1, o:85, a:1
% 4.74/5.12 , s:1, b:0),
% 4.74/5.12 'class_Ring__and__Field_Ono__zero__divisors' [106, 1] (w:1, o:49, a:1
% 4.74/5.12 , s:1, b:0),
% 4.74/5.12 'class_SEQ_Obanach' [107, 1] (w:1, o:94, a:1, s:1, b:0),
% 4.74/5.12 'class_RealVector_Oreal__normed__field' [108, 1] (w:1, o:86, a:1, s:1
% 31.12/31.47 , b:0),
% 31.12/31.47 'c_Transcendental_Oexp' [109, 2] (w:1, o:132, a:1, s:1, b:0),
% 31.12/31.47 'class_Ring__and__Field_Ofield' [110, 1] (w:1, o:87, a:1, s:1, b:0),
% 31.12/31.47
% 31.12/31.47 'class_Ring__and__Field_Opordered__cancel__semiring' [111, 1] (w:1
% 31.12/31.47 , o:88, a:1, s:1, b:0),
% 31.12/31.47 'v_k' [112, 0] (w:1, o:36, a:1, s:1, b:0),
% 31.12/31.47 'class_OrderedGroup_Oab__semigroup__mult' [113, 1] (w:1, o:95, a:1
% 31.12/31.47 , s:1, b:0),
% 31.12/31.47 'class_Ring__and__Field_Opordered__semiring' [115, 1] (w:1, o:89, a:1
% 31.12/31.47 , s:1, b:0),
% 31.12/31.47 'class_Ring__and__Field_Ocomm__ring__1' [116, 1] (w:1, o:54, a:1, s:1
% 31.12/31.47 , b:0),
% 31.12/31.47 'class_OrderedGroup_Olordered__ab__group__add' [117, 1] (w:1, o:96
% 31.12/31.47 , a:1, s:1, b:0),
% 31.12/31.47 'class_OrderedGroup_Omonoid__mult' [118, 1] (w:1, o:97, a:1, s:1, b:0
% 31.12/31.47 ),
% 31.12/31.47 'class_OrderedGroup_Ocomm__monoid__mult' [119, 1] (w:1, o:98, a:1, s:
% 31.12/31.47 1, b:0),
% 31.12/31.47 'class_Ring__and__Field_Oring__1' [122, 1] (w:1, o:90, a:1, s:1, b:0)
% 31.12/31.47 ,
% 31.12/31.47 'class_OrderedGroup_Oab__group__add' [123, 1] (w:1, o:99, a:1, s:1
% 31.12/31.47 , b:0),
% 31.12/31.47 'class_Ring__and__Field_Osemiring__0' [130, 1] (w:1, o:92, a:1, s:1
% 31.12/31.47 , b:0),
% 31.12/31.47 'class_Power_Opower' [131, 1] (w:1, o:100, a:1, s:1, b:0),
% 31.12/31.47 'class_Ring__and__Field_Ozero__neq__one' [132, 1] (w:1, o:93, a:1, s:
% 31.12/31.47 1, b:0),
% 31.12/31.47 'v_n' [134, 0] (w:1, o:39, a:1, s:1, b:0),
% 31.12/31.47 'tc_Complex_Ocomplex' [135, 0] (w:1, o:40, a:1, s:1, b:0),
% 31.12/31.47 'c_Complex_Oexpi' [136, 1] (w:1, o:101, a:1, s:1, b:0),
% 31.12/31.47 'c_FFT__Mirabelle_Oroot' [137, 1] (w:1, o:102, a:1, s:1, b:0),
% 31.12/31.47 'class_Ring__and__Field_Oring__1__no__zero__divisors' [138, 1] (w:1
% 31.12/31.47 , o:91, a:1, s:1, b:0),
% 31.12/31.47 'tc_Int_Oint' [139, 0] (w:1, o:41, a:1, s:1, b:0).
% 31.12/31.47
% 31.12/31.47
% 31.12/31.47 Starting Search:
% 31.12/31.47
% 31.12/31.47 Resimplifying inuse:
% 31.12/31.47 Done
% 31.12/31.47
% 31.12/31.47
% 31.12/31.47 Intermediate Status:
% 31.12/31.47 Generated: 7660
% 31.12/31.47 Kept: 2044
% 31.12/31.47 Inuse: 253
% 31.12/31.47 Deleted: 18
% 31.12/31.47 Deletedinuse: 0
% 31.12/31.47
% 31.12/31.47 Resimplifying inuse:
% 31.12/31.47 Done
% 31.12/31.47
% 31.12/31.47 Resimplifying inuse:
% 31.12/31.47 Done
% 31.12/31.47
% 31.12/31.47
% 31.12/31.47 Intermediate Status:
% 31.12/31.47 Generated: 24193
% 31.12/31.47 Kept: 4692
% 31.12/31.47 Inuse: 391
% 31.12/31.47 Deleted: 37
% 31.12/31.47 Deletedinuse: 12
% 31.12/31.47
% 31.12/31.47 Resimplifying inuse:
% 31.12/31.47 Done
% 31.12/31.47
% 31.12/31.47 Resimplifying inuse:
% 31.12/31.47 Done
% 31.12/31.47
% 31.12/31.47
% 31.12/31.47 Intermediate Status:
% 31.12/31.47 Generated: 39196
% 31.12/31.47 Kept: 6791
% 31.12/31.47 Inuse: 478
% 31.12/31.47 Deleted: 40
% 31.12/31.47 Deletedinuse: 12
% 31.12/31.47
% 31.12/31.47 Resimplifying inuse:
% 31.12/31.47 Done
% 31.12/31.47
% 31.12/31.47 Resimplifying inuse:
% 31.12/31.47 Done
% 31.12/31.47
% 31.12/31.47
% 31.12/31.47 Intermediate Status:
% 31.12/31.47 Generated: 61227
% 31.12/31.47 Kept: 8909
% 31.12/31.47 Inuse: 498
% 31.12/31.47 Deleted: 44
% 31.12/31.47 Deletedinuse: 16
% 31.12/31.47
% 31.12/31.47 Resimplifying inuse:
% 31.12/31.47 Done
% 31.12/31.47
% 31.12/31.47 Resimplifying inuse:
% 31.12/31.47 Done
% 31.12/31.47
% 31.12/31.47
% 31.12/31.47 Intermediate Status:
% 31.12/31.47 Generated: 85683
% 31.12/31.47 Kept: 10922
% 31.12/31.47 Inuse: 576
% 31.12/31.47 Deleted: 67
% 31.12/31.47 Deletedinuse: 24
% 31.12/31.47
% 31.12/31.47 Resimplifying inuse:
% 31.12/31.47 Done
% 31.12/31.47
% 31.12/31.47 Resimplifying inuse:
% 31.12/31.47 Done
% 31.12/31.47
% 31.12/31.47
% 31.12/31.47 Intermediate Status:
% 31.12/31.47 Generated: 104543
% 31.12/31.47 Kept: 13278
% 31.12/31.47 Inuse: 652
% 31.12/31.47 Deleted: 86
% 31.12/31.47 Deletedinuse: 37
% 31.12/31.47
% 31.12/31.47 Resimplifying inuse:
% 31.12/31.47 Done
% 31.12/31.47
% 31.12/31.47 Resimplifying inuse:
% 31.12/31.47 Done
% 31.12/31.47
% 31.12/31.47
% 31.12/31.47 Intermediate Status:
% 31.12/31.47 Generated: 117046
% 31.12/31.47 Kept: 15571
% 31.12/31.47 Inuse: 683
% 31.12/31.47 Deleted: 86
% 31.12/31.47 Deletedinuse: 37
% 31.12/31.47
% 31.12/31.47 Resimplifying inuse:
% 31.12/31.47 Done
% 31.12/31.47
% 31.12/31.47 Resimplifying inuse:
% 31.12/31.47 Done
% 31.12/31.47
% 31.12/31.47
% 31.12/31.47 Intermediate Status:
% 31.12/31.47 Generated: 134323
% 31.12/31.47 Kept: 17698
% 31.12/31.47 Inuse: 718
% 31.12/31.47 Deleted: 90
% 31.12/31.47 Deletedinuse: 37
% 31.12/31.47
% 31.12/31.47 Resimplifying inuse:
% 31.12/31.47 Done
% 31.12/31.47
% 31.12/31.47 Resimplifying inuse:
% 31.12/31.47 Done
% 31.12/31.47
% 31.12/31.47
% 31.12/31.47 Intermediate Status:
% 31.12/31.47 Generated: 147121
% 31.12/31.47 Kept: 19703
% 31.12/31.47 Inuse: 752
% 31.12/31.47 Deleted: 90
% 31.12/31.47 Deletedinuse: 37
% 31.12/31.47
% 31.12/31.47 Resimplifying inuse:
% 31.12/31.47 Done
% 31.12/31.47
% 31.12/31.47 Resimplifying clauses:
% 31.12/31.47 Done
% 31.12/31.47
% 31.12/31.47
% 31.12/31.47 Intermediate Status:
% 31.12/31.47 Generated: 157372
% 31.12/31.47 Kept: 21821
% 31.12/31.47 Inuse: 768
% 31.12/31.47 Deleted: 944
% 31.12/31.47 Deletedinuse: 37
% 31.12/31.47
% 31.12/31.47 Resimplifying inuse:
% 31.12/31.47 Done
% 31.12/31.47
% 31.12/31.47 Resimplifying inuse:
% 31.12/31.47 Done
% 31.12/31.47
% 31.12/31.47
% 31.12/31.47 Intermediate Status:
% 31.12/31.47 Generated: 174268
% 31.12/31.47 Kept: 24573
% 31.12/31.47 Inuse: 818
% 31.12/31.47 Deleted: 950
% 31.12/31.47 Deletedinuse: 43
% 31.12/31.47
% 31.12/31.47 Resimplifying inuse:
% 31.12/31.47 Done
% 31.12/31.47
% 31.12/31.47 Resimplifying inuse:
% 31.12/31.47 Done
% 31.12/31.47
% 31.12/31.47
% 31.12/31.47 Intermediate Status:
% 31.12/31.47 Generated: 205463
% 31.12/31.47 Kept: 26775
% 31.12/31.47 Inuse: 828
% 31.12/31.47 Deleted: 950
% 31.12/31.47 Deletedinuse: 43
% 31.12/31.47
% 31.12/31.47 Resimplifying inuse:
% 31.12/31.47 Done
% 31.12/31.47
% 31.12/31.47 Resimplifying inuse:
% 31.12/31.47 Done
% 31.12/31.47
% 31.12/31.47
% 31.12/31.47 Intermediate Status:
% 31.12/31.47 Generated: 224548
% 31.12/31.47 Kept: 28981
% 31.12/31.47 Inuse: 837
% 31.12/31.47 Deleted: 952
% 31.12/31.47 Deletedinuse: 44
% 31.12/31.47
% 31.12/31.47 Resimplifying inuse:
% 31.12/31.47 Done
% 31.12/31.47
% 31.12/31.47 Resimplifying inuse:
% 31.12/31.47 Done
% 31.12/31.47
% 31.12/31.47
% 31.12/31.47 Intermediate Status:
% 31.12/31.47 Generated: 239594
% 31.12/31.47 Kept: 31293
% 31.12/31.47 Inuse: 842
% 31.12/31.47 Deleted: 952
% 31.12/31.47 Deletedinuse: 44
% 31.12/31.47
% 31.12/31.47 Resimplifying inuse:
% 31.12/31.47 Done
% 31.12/31.47
% 31.12/31.47 Resimplifying inuse:
% 31.12/31.47 Done
% 76.29/76.65
% 76.29/76.65
% 76.29/76.65 Intermediate Status:
% 76.29/76.65 Generated: 258195
% 76.29/76.65 Kept: 33934
% 76.29/76.65 Inuse: 872
% 76.29/76.65 Deleted: 952
% 76.29/76.65 Deletedinuse: 44
% 76.29/76.65
% 76.29/76.65 Resimplifying inuse:
% 76.29/76.65 Done
% 76.29/76.65
% 76.29/76.65 Resimplifying inuse:
% 76.29/76.65 Done
% 76.29/76.65
% 76.29/76.65
% 76.29/76.65 Intermediate Status:
% 76.29/76.65 Generated: 285684
% 76.29/76.65 Kept: 37159
% 76.29/76.65 Inuse: 897
% 76.29/76.65 Deleted: 952
% 76.29/76.65 Deletedinuse: 44
% 76.29/76.65
% 76.29/76.65 Resimplifying inuse:
% 76.29/76.65 Done
% 76.29/76.65
% 76.29/76.65 Resimplifying inuse:
% 76.29/76.65 Done
% 76.29/76.65
% 76.29/76.65
% 76.29/76.65 Intermediate Status:
% 76.29/76.65 Generated: 310546
% 76.29/76.65 Kept: 40373
% 76.29/76.65 Inuse: 922
% 76.29/76.65 Deleted: 952
% 76.29/76.65 Deletedinuse: 44
% 76.29/76.65
% 76.29/76.65 Resimplifying inuse:
% 76.29/76.65 Done
% 76.29/76.65
% 76.29/76.65 Resimplifying clauses:
% 76.29/76.65 Done
% 76.29/76.65
% 76.29/76.65 Resimplifying inuse:
% 76.29/76.65 Done
% 76.29/76.65
% 76.29/76.65
% 76.29/76.65 Intermediate Status:
% 76.29/76.65 Generated: 323563
% 76.29/76.65 Kept: 42463
% 76.29/76.65 Inuse: 947
% 76.29/76.65 Deleted: 1243
% 76.29/76.65 Deletedinuse: 45
% 76.29/76.65
% 76.29/76.65 Resimplifying inuse:
% 76.29/76.65 Done
% 76.29/76.65
% 76.29/76.65 Resimplifying inuse:
% 76.29/76.65 Done
% 76.29/76.65
% 76.29/76.65
% 76.29/76.65 Intermediate Status:
% 76.29/76.65 Generated: 334587
% 76.29/76.65 Kept: 44739
% 76.29/76.65 Inuse: 962
% 76.29/76.65 Deleted: 1245
% 76.29/76.65 Deletedinuse: 47
% 76.29/76.65
% 76.29/76.65 Resimplifying inuse:
% 76.29/76.65 Done
% 76.29/76.65
% 76.29/76.65 Resimplifying inuse:
% 76.29/76.65 Done
% 76.29/76.65
% 76.29/76.65
% 76.29/76.65 Intermediate Status:
% 76.29/76.65 Generated: 346925
% 76.29/76.65 Kept: 46934
% 76.29/76.65 Inuse: 990
% 76.29/76.65 Deleted: 1247
% 76.29/76.65 Deletedinuse: 47
% 76.29/76.65
% 76.29/76.65 Resimplifying inuse:
% 76.29/76.65 Done
% 76.29/76.65
% 76.29/76.65
% 76.29/76.65 Intermediate Status:
% 76.29/76.65 Generated: 364463
% 76.29/76.65 Kept: 49413
% 76.29/76.65 Inuse: 1010
% 76.29/76.65 Deleted: 1247
% 76.29/76.65 Deletedinuse: 47
% 76.29/76.65
% 76.29/76.65 Resimplifying inuse:
% 76.29/76.65 Done
% 76.29/76.65
% 76.29/76.65 Resimplifying inuse:
% 76.29/76.65 Done
% 76.29/76.65
% 76.29/76.65
% 76.29/76.65 Intermediate Status:
% 76.29/76.65 Generated: 379378
% 76.29/76.65 Kept: 51479
% 76.29/76.65 Inuse: 1050
% 76.29/76.65 Deleted: 1247
% 76.29/76.65 Deletedinuse: 47
% 76.29/76.65
% 76.29/76.65 Resimplifying inuse:
% 76.29/76.65 Done
% 76.29/76.65
% 76.29/76.65 Resimplifying inuse:
% 76.29/76.65 Done
% 76.29/76.65
% 76.29/76.65
% 76.29/76.65 Intermediate Status:
% 76.29/76.65 Generated: 395437
% 76.29/76.65 Kept: 53485
% 76.29/76.65 Inuse: 1091
% 76.29/76.65 Deleted: 1247
% 76.29/76.65 Deletedinuse: 47
% 76.29/76.65
% 76.29/76.65 Resimplifying inuse:
% 76.29/76.65 Done
% 76.29/76.65
% 76.29/76.65 Resimplifying inuse:
% 76.29/76.65 Done
% 76.29/76.65
% 76.29/76.65
% 76.29/76.65 Intermediate Status:
% 76.29/76.65 Generated: 408610
% 76.29/76.65 Kept: 55527
% 76.29/76.65 Inuse: 1114
% 76.29/76.65 Deleted: 1251
% 76.29/76.65 Deletedinuse: 50
% 76.29/76.65
% 76.29/76.65 Resimplifying inuse:
% 76.29/76.65 Done
% 76.29/76.65
% 76.29/76.65 Resimplifying inuse:
% 76.29/76.65 Done
% 76.29/76.65
% 76.29/76.65
% 76.29/76.65 Intermediate Status:
% 76.29/76.65 Generated: 424183
% 76.29/76.65 Kept: 57538
% 76.29/76.65 Inuse: 1141
% 76.29/76.65 Deleted: 1251
% 76.29/76.65 Deletedinuse: 50
% 76.29/76.65
% 76.29/76.65 Resimplifying inuse:
% 76.29/76.65 Done
% 76.29/76.65
% 76.29/76.65
% 76.29/76.65 Intermediate Status:
% 76.29/76.65 Generated: 451975
% 76.29/76.65 Kept: 60527
% 76.29/76.65 Inuse: 1159
% 76.29/76.65 Deleted: 1251
% 76.29/76.65 Deletedinuse: 50
% 76.29/76.65
% 76.29/76.65 Resimplifying inuse:
% 76.29/76.65 Done
% 76.29/76.65
% 76.29/76.65 Resimplifying clauses:
% 76.29/76.65 Done
% 76.29/76.65
% 76.29/76.65 Resimplifying inuse:
% 76.29/76.65 Done
% 76.29/76.65
% 76.29/76.65
% 76.29/76.65 Intermediate Status:
% 76.29/76.65 Generated: 472027
% 76.29/76.65 Kept: 62617
% 76.29/76.65 Inuse: 1203
% 76.29/76.65 Deleted: 2840
% 76.29/76.65 Deletedinuse: 51
% 76.29/76.65
% 76.29/76.65 Resimplifying inuse:
% 76.29/76.65 Done
% 76.29/76.65
% 76.29/76.65
% 76.29/76.65 Intermediate Status:
% 76.29/76.65 Generated: 496513
% 76.29/76.65 Kept: 64817
% 76.29/76.65 Inuse: 1213
% 76.29/76.65 Deleted: 2844
% 76.29/76.65 Deletedinuse: 55
% 76.29/76.65
% 76.29/76.65 Resimplifying inuse:
% 76.29/76.65 Done
% 76.29/76.65
% 76.29/76.65 Resimplifying inuse:
% 76.29/76.65 Done
% 76.29/76.65
% 76.29/76.65
% 76.29/76.65 Intermediate Status:
% 76.29/76.65 Generated: 506705
% 76.29/76.65 Kept: 66823
% 76.29/76.65 Inuse: 1234
% 76.29/76.65 Deleted: 2844
% 76.29/76.65 Deletedinuse: 55
% 76.29/76.65
% 76.29/76.65 Resimplifying inuse:
% 76.29/76.65 Done
% 76.29/76.65
% 76.29/76.65 Resimplifying inuse:
% 76.29/76.65 Done
% 76.29/76.65
% 76.29/76.65
% 76.29/76.65 Intermediate Status:
% 76.29/76.65 Generated: 529112
% 76.29/76.65 Kept: 69291
% 76.29/76.65 Inuse: 1252
% 76.29/76.65 Deleted: 2845
% 76.29/76.65 Deletedinuse: 55
% 76.29/76.65
% 76.29/76.65 Resimplifying inuse:
% 76.29/76.65 Done
% 76.29/76.65
% 76.29/76.65 Resimplifying inuse:
% 76.29/76.65 Done
% 76.29/76.65
% 76.29/76.65
% 76.29/76.65 Intermediate Status:
% 76.29/76.65 Generated: 542482
% 76.29/76.65 Kept: 71486
% 76.29/76.65 Inuse: 1282
% 76.29/76.65 Deleted: 2845
% 76.29/76.65 Deletedinuse: 55
% 76.29/76.65
% 76.29/76.65 Resimplifying inuse:
% 76.29/76.65 Done
% 76.29/76.65
% 76.29/76.65 Resimplifying inuse:
% 76.29/76.65 Done
% 76.29/76.65
% 76.29/76.65
% 76.29/76.65 Intermediate Status:
% 76.29/76.65 Generated: 556868
% 76.29/76.65 Kept: 73643
% 76.29/76.65 Inuse: 1317
% 76.29/76.65 Deleted: 2845
% 76.29/76.65 Deletedinuse: 55
% 76.29/76.65
% 76.29/76.65 Resimplifying inuse:
% 76.29/76.65 Done
% 76.29/76.65
% 76.29/76.65 Resimplifying inuse:
% 76.29/76.65 Done
% 76.29/76.65
% 76.29/76.65
% 76.29/76.65 Intermediate Status:
% 76.29/76.65 Generated: 572740
% 76.29/76.65 Kept: 75692
% 76.29/76.65 Inuse: 1348
% 76.29/76.65 Deleted: 2857
% 76.29/76.65 Deletedinuse: 63
% 76.29/76.65
% 76.29/76.65 Resimplifying inuse:
% 76.29/76.65 Done
% 76.29/76.65
% 76.29/76.65 Resimplifying inuse:
% 76.29/76.65 Done
% 76.29/76.65
% 76.29/76.65
% 76.29/76.65 Intermediate Status:
% 76.29/76.65 Generated: 586962
% 76.29/76.65 Kept: 77923
% 76.29/76.65 Inuse: 1373
% 76.29/76.65 Deleted: 2857
% 76.29/76.65 Deletedinuse: 63
% 76.29/76.65
% 76.29/76.65 Resimplifying inuse:
% 76.29/76.65 Done
% 76.29/76.65
% 76.29/76.65 Resimplifying inuse:
% 76.29/76.65 Done
% 76.29/76.65
% 76.29/76.65
% 76.29/76.65 Intermediate Status:
% 76.29/76.65 Generated: 604619
% 76.29/76.65 Kept: 80255
% 76.29/76.65 Inuse: 1398
% 76.29/76.65 Deleted: 2857
% 76.29/76.65 Deletedinuse: 63
% 76.29/76.65
% 76.29/76.65 Resimplifying inuse:
% 76.29/76.65 Done
% 76.29/76.65
% 76.29/76.65 Resimplifying clauses:
% 76.29/76.65 Done
% 76.29/76.65
% 76.29/76.65 Resimplifying inuse:
% 76.29/76.65 Done
% 76.29/76.65
% 76.29/76.65
% 76.29/76.65 Intermediate Status:
% 76.29/76.65 Generated: 625607
% 76.29/76.65 Kept: 82885
% 76.29/76.65 Inuse: 1423
% 76.29/76.65 Deleted: 3555
% 76.29/76.65 Deletedinuse: 63
% 76.29/76.65
% 76.29/76.65 Resimplifying inuse:
% 76.29/76.65 Done
% 76.29/76.65
% 76.29/76.65
% 76.29/76.65 Intermediate Status:
% 76.29/76.65 Generated: 655039
% 76.29/76.65 Kept: 85228
% 76.29/76.65 Inuse: 1428
% 76.29/76.65 Deleted: 3555
% 76.29/76.65 Deletedinuse: 63
% 76.29/76.65
% 76.29/76.65 Resimplifying inuse:
% 76.29/76.65 Done
% 76.29/76.65
% 76.29/76.65 Resimplifying inuse:
% 76.29/76.65 Done
% 76.29/76.65
% 76.29/76.65
% 76.29/76.65 Intermediate Status:
% 76.29/76.65 Generated: 674210
% 76.29/76.65 Kept: 87594
% 76.29/76.65 Inuse: 1463
% 76.29/76.65 Deleted: 3555
% 76.29/76.65 Deletedinuse: 63
% 76.29/76.65
% 76.29/76.65 Resimplifying inuse:
% 76.29/76.65 Done
% 120.52/120.90
% 120.52/120.90 Resimplifying inuse:
% 120.52/120.90 Done
% 120.52/120.90
% 120.52/120.90
% 120.52/120.90 Intermediate Status:
% 120.52/120.90 Generated: 693610
% 120.52/120.90 Kept: 90663
% 120.52/120.90 Inuse: 1490
% 120.52/120.90 Deleted: 3555
% 120.52/120.90 Deletedinuse: 63
% 120.52/120.90
% 120.52/120.90 Resimplifying inuse:
% 120.52/120.90 Done
% 120.52/120.90
% 120.52/120.90
% 120.52/120.90 Intermediate Status:
% 120.52/120.90 Generated: 702163
% 120.52/120.90 Kept: 93000
% 120.52/120.90 Inuse: 1497
% 120.52/120.90 Deleted: 3556
% 120.52/120.90 Deletedinuse: 64
% 120.52/120.90
% 120.52/120.90 Resimplifying inuse:
% 120.52/120.90 Done
% 120.52/120.90
% 120.52/120.90 Resimplifying inuse:
% 120.52/120.90 Done
% 120.52/120.90
% 120.52/120.90
% 120.52/120.90 Intermediate Status:
% 120.52/120.90 Generated: 714297
% 120.52/120.90 Kept: 95067
% 120.52/120.90 Inuse: 1533
% 120.52/120.90 Deleted: 3558
% 120.52/120.90 Deletedinuse: 66
% 120.52/120.90
% 120.52/120.90 Resimplifying inuse:
% 120.52/120.90 Done
% 120.52/120.90
% 120.52/120.90 Resimplifying inuse:
% 120.52/120.90 Done
% 120.52/120.90
% 120.52/120.90
% 120.52/120.90 Intermediate Status:
% 120.52/120.90 Generated: 727651
% 120.52/120.90 Kept: 97094
% 120.52/120.90 Inuse: 1564
% 120.52/120.90 Deleted: 3559
% 120.52/120.90 Deletedinuse: 67
% 120.52/120.90
% 120.52/120.90 Resimplifying inuse:
% 120.52/120.90 Done
% 120.52/120.90
% 120.52/120.90 Resimplifying inuse:
% 120.52/120.90 Done
% 120.52/120.90
% 120.52/120.90
% 120.52/120.90 Intermediate Status:
% 120.52/120.90 Generated: 737408
% 120.52/120.90 Kept: 99098
% 120.52/120.90 Inuse: 1590
% 120.52/120.90 Deleted: 3559
% 120.52/120.90 Deletedinuse: 67
% 120.52/120.90
% 120.52/120.90 Resimplifying inuse:
% 120.52/120.90 Done
% 120.52/120.90
% 120.52/120.90 Resimplifying inuse:
% 120.52/120.90 Done
% 120.52/120.90
% 120.52/120.90
% 120.52/120.90 Intermediate Status:
% 120.52/120.90 Generated: 753930
% 120.52/120.90 Kept: 101292
% 120.52/120.90 Inuse: 1608
% 120.52/120.90 Deleted: 3559
% 120.52/120.90 Deletedinuse: 67
% 120.52/120.90
% 120.52/120.90 Resimplifying clauses:
% 120.52/120.90 Done
% 120.52/120.90
% 120.52/120.90 Resimplifying inuse:
% 120.52/120.90 Done
% 120.52/120.90
% 120.52/120.90 Resimplifying inuse:
% 120.52/120.90 Done
% 120.52/120.90
% 120.52/120.90
% 120.52/120.90 Intermediate Status:
% 120.52/120.90 Generated: 780045
% 120.52/120.90 Kept: 104449
% 120.52/120.90 Inuse: 1623
% 120.52/120.90 Deleted: 5941
% 120.52/120.90 Deletedinuse: 67
% 120.52/120.90
% 120.52/120.90 Resimplifying inuse:
% 120.52/120.90 Done
% 120.52/120.90
% 120.52/120.90
% 120.52/120.90 Intermediate Status:
% 120.52/120.90 Generated: 797275
% 120.52/120.90 Kept: 106789
% 120.52/120.90 Inuse: 1638
% 120.52/120.90 Deleted: 5941
% 120.52/120.90 Deletedinuse: 67
% 120.52/120.90
% 120.52/120.90 Resimplifying inuse:
% 120.52/120.90 Done
% 120.52/120.90
% 120.52/120.90 Resimplifying inuse:
% 120.52/120.90 Done
% 120.52/120.90
% 120.52/120.90
% 120.52/120.90 Intermediate Status:
% 120.52/120.90 Generated: 863876
% 120.52/120.90 Kept: 109799
% 120.52/120.90 Inuse: 1648
% 120.52/120.90 Deleted: 5941
% 120.52/120.90 Deletedinuse: 67
% 120.52/120.90
% 120.52/120.90 Resimplifying inuse:
% 120.52/120.90 Done
% 120.52/120.90
% 120.52/120.90 Resimplifying inuse:
% 120.52/120.90 Done
% 120.52/120.90
% 120.52/120.90
% 120.52/120.90 Intermediate Status:
% 120.52/120.90 Generated: 885297
% 120.52/120.90 Kept: 112759
% 120.52/120.90 Inuse: 1673
% 120.52/120.90 Deleted: 5941
% 120.52/120.90 Deletedinuse: 67
% 120.52/120.90
% 120.52/120.90 Resimplifying inuse:
% 120.52/120.90 Done
% 120.52/120.90
% 120.52/120.90 Resimplifying inuse:
% 120.52/120.90 Done
% 120.52/120.90
% 120.52/120.90
% 120.52/120.90 Intermediate Status:
% 120.52/120.90 Generated: 899040
% 120.52/120.90 Kept: 114968
% 120.52/120.90 Inuse: 1683
% 120.52/120.90 Deleted: 5941
% 120.52/120.90 Deletedinuse: 67
% 120.52/120.90
% 120.52/120.90 Resimplifying inuse:
% 120.52/120.90 Done
% 120.52/120.90
% 120.52/120.90 Resimplifying inuse:
% 120.52/120.90 Done
% 120.52/120.90
% 120.52/120.90
% 120.52/120.90 Intermediate Status:
% 120.52/120.90 Generated: 907357
% 120.52/120.90 Kept: 117008
% 120.52/120.90 Inuse: 1708
% 120.52/120.90 Deleted: 5941
% 120.52/120.90 Deletedinuse: 67
% 120.52/120.90
% 120.52/120.90 Resimplifying inuse:
% 120.52/120.90 Done
% 120.52/120.90
% 120.52/120.90 Resimplifying inuse:
% 120.52/120.90 Done
% 120.52/120.90
% 120.52/120.90
% 120.52/120.90 Intermediate Status:
% 120.52/120.90 Generated: 925483
% 120.52/120.90 Kept: 119027
% 120.52/120.90 Inuse: 1729
% 120.52/120.90 Deleted: 5941
% 120.52/120.90 Deletedinuse: 67
% 120.52/120.90
% 120.52/120.90 Resimplifying inuse:
% 120.52/120.90 Done
% 120.52/120.90
% 120.52/120.90 Resimplifying inuse:
% 120.52/120.90 Done
% 120.52/120.90
% 120.52/120.90
% 120.52/120.90 Intermediate Status:
% 120.52/120.90 Generated: 936268
% 120.52/120.90 Kept: 121380
% 120.52/120.90 Inuse: 1759
% 120.52/120.90 Deleted: 5945
% 120.52/120.90 Deletedinuse: 67
% 120.52/120.90
% 120.52/120.90 Resimplifying clauses:
% 120.52/120.90 Done
% 120.52/120.90
% 120.52/120.90 Resimplifying inuse:
% 120.52/120.90 Done
% 120.52/120.90
% 120.52/120.90 Resimplifying inuse:
% 120.52/120.90 Done
% 120.52/120.90
% 120.52/120.90
% 120.52/120.90 Intermediate Status:
% 120.52/120.90 Generated: 946749
% 120.52/120.90 Kept: 123401
% 120.52/120.90 Inuse: 1783
% 120.52/120.90 Deleted: 6324
% 120.52/120.90 Deletedinuse: 67
% 120.52/120.90
% 120.52/120.90 Resimplifying inuse:
% 120.52/120.90 Done
% 120.52/120.90
% 120.52/120.90
% 120.52/120.90 Intermediate Status:
% 120.52/120.90 Generated: 958294
% 120.52/120.90 Kept: 125429
% 120.52/120.90 Inuse: 1803
% 120.52/120.90 Deleted: 6326
% 120.52/120.90 Deletedinuse: 68
% 120.52/120.90
% 120.52/120.90 Resimplifying inuse:
% 120.52/120.90 Done
% 120.52/120.90
% 120.52/120.90 Resimplifying inuse:
% 120.52/120.90 Done
% 120.52/120.90
% 120.52/120.90
% 120.52/120.90 Intermediate Status:
% 120.52/120.90 Generated: 970368
% 120.52/120.90 Kept: 127942
% 120.52/120.90 Inuse: 1823
% 120.52/120.90 Deleted: 6326
% 120.52/120.90 Deletedinuse: 68
% 120.52/120.90
% 120.52/120.90 Resimplifying inuse:
% 120.52/120.90 Done
% 120.52/120.90
% 120.52/120.90 Resimplifying inuse:
% 120.52/120.90 Done
% 120.52/120.90
% 120.52/120.90
% 120.52/120.90 Intermediate Status:
% 120.52/120.90 Generated: 981689
% 120.52/120.90 Kept: 130504
% 120.52/120.90 Inuse: 1842
% 120.52/120.90 Deleted: 6328
% 120.52/120.90 Deletedinuse: 69
% 120.52/120.90
% 120.52/120.90 Resimplifying inuse:
% 120.52/120.90 Done
% 120.52/120.90
% 120.52/120.90 Resimplifying inuse:
% 120.52/120.90 Done
% 120.52/120.90
% 120.52/120.90
% 120.52/120.90 Intermediate Status:
% 120.52/120.90 Generated: 993654
% 120.52/120.90 Kept: 132512
% 120.52/120.90 Inuse: 1863
% 120.52/120.90 Deleted: 6336
% 120.52/120.90 Deletedinuse: 73
% 120.52/120.90
% 120.52/120.90 Resimplifying inuse:
% 120.52/120.90 Done
% 120.52/120.90
% 120.52/120.90 Resimplifying inuse:
% 120.52/120.90 Done
% 120.52/120.90
% 120.52/120.90
% 120.52/120.90 Intermediate Status:
% 120.52/120.90 Generated: 1002544
% 120.52/120.90 Kept: 134559
% 120.52/120.90 Inuse: 1873
% 120.52/120.90 Deleted: 6345
% 120.52/120.90 Deletedinuse: 77
% 120.52/120.90
% 120.52/120.90 Resimplifying inuse:
% 120.52/120.90 Done
% 120.52/120.90
% 120.52/120.90
% 120.52/120.90 Intermediate Status:
% 120.52/120.90 Generated: 1014990
% 120.52/120.90 Kept: 136663
% 120.52/120.90 Inuse: 1893
% 120.52/120.90 Deleted: 6345
% 120.52/120.90 Deletedinuse: 77
% 120.52/120.90
% 120.52/120.90 Resimplifying inuse:
% 120.52/120.90 Done
% 120.52/120.90
% 120.52/120.90 Resimplifying inuse:
% 120.52/120.90 Done
% 120.52/120.90
% 120.52/120.90
% 120.52/120.90 Intermediate Status:
% 120.52/120.90 Generated: 1030346
% 120.52/120.90 Kept: 139029
% 120.52/120.90 Inuse: 1916
% 120.52/120.90 Deleted: 6347
% 120.52/120.90 Deletedinuse: 77
% 120.52/120.90
% 120.52/120.90 Resimplifying inuse:
% 120.52/120.90 Done
% 120.52/120.90
% 120.52/120.90 Resimplifying inuse:
% 120.52/120.90 Done
% 120.52/120.90
% 120.52/120.90
% 120.52/120.90 Intermediate Status:
% 120.52/120.90 Generated: 1052768
% 120.52/120.90 Kept: 141514
% 120.52/120.90 Inuse: 1931
% 120.52/120.90 Deleted: 6347
% 120.52/120.90 Deletedinuse: 77
% 120.52/120.90
% 120.52/120.90 Resimplifying inuse:
% 120.52/120.90 Done
% 120.52/120.90
% 120.52/120.90 Resimplifying clauses:
% 120.52/120.90 Done
% 120.52/120.90
% 120.52/120.90 Resimplifying inuse:
% 120.52/120.90 Done
% 120.52/120.90
% 120.52/120.90
% 120.52/120.90 Intermediate Status:
% 120.52/120.90 Generated: 1065128
% 120.52/120.90 Kept: 143686
% 120.52/120.90 Inuse: 1944
% 120.52/120.90 Deleted: 7524
% 120.52/120.90 Deletedinuse: 90
% 120.52/120.90
% 120.52/120.90 Resimplifying inuse:
% 120.52/120.90 Done
% 120.52/120.90
% 120.52/120.90 Resimplifying inuse:
% 120.52/120.90 Done
% 120.52/120.90
% 120.52/120.90
% 120.52/120.90 Intermediate Status:
% 120.52/120.90 Generated: 1083278
% 120.52/120.90 Kept: 146145
% 120.52/120.90 Inuse: 1964
% 120.52/120.90 Deleted: 7524
% 120.52/120.90 Deletedinuse: 90
% 120.52/120.90
% 120.52/120.90 Resimplifying inuse:
% 120.52/120.90 Done
% 120.52/120.90
% 120.52/120.90 Resimplifying inuse:
% 120.52/120.90 Done
% 120.52/120.90
% 120.52/120.90
% 120.52/120.90 Intermediate Status:
% 120.52/120.90 Generated: 1098549
% 120.52/120.90 Kept: 148527
% 120.52/120.90 Inuse: 1984
% 120.52/120.90 Deleted: 7524
% 120.52/120.90 Deletedinuse: 90
% 120.52/120.90
% 120.52/120.90 Resimplifying inuse:
% 120.52/120.90 Done
% 120.52/120.90
% 120.52/120.90
% 120.52/120.90 Intermediate Status:
% 120.52/120.90 Generated: 1117360
% 120.52/120.90 Kept: 150766
% 120.52/120.90 Inuse: 1994
% 120.52/120.90 Deleted: 7524
% 120.52/120.90 Deletedinuse: 90
% 120.52/120.90
% 120.52/120.90 Resimplifying inuse:
% 120.52/120.90 Done
% 120.52/120.90
% 120.52/120.90
% 120.52/120.90 Intermediate Status:
% 120.52/120.90 Generated: 1135339
% 120.52/120.90 Kept: 153200
% 120.52/120.90 Inuse: 1995
% 120.52/120.90 Deleted: 7528
% 120.52/120.90 Deletedinuse: 94
% 120.52/120.90
% 120.52/120.90 Resimplifying inuse:
% 120.52/120.90 Done
% 120.52/120.90
% 120.52/120.90 Resimplifying inuse:
% 120.52/120.90 Done
% 120.52/120.90
% 120.52/120.90
% 120.52/120.90 Intermediate Status:
% 120.52/120.90 Generated: 1149982
% 120.52/120.90 Kept: 155560
% 120.52/120.90 Inuse: 2009
% 120.52/120.90 Deleted: 8044
% 120.52/120.90 Deletedinuse: 610
% 120.52/120.90
% 120.52/120.90 Resimplifying inuse:
% 120.52/120.90 Done
% 120.52/120.90
% 120.52/120.90 Resimplifying inuse:
% 120.52/120.90 Done
% 120.52/120.90
% 120.52/120.90
% 120.52/120.90 Intermediate Status:
% 120.52/120.90 Generated: 1159340
% 120.52/120.90 Kept: 157701
% 120.52/120.90 Inuse: 2029
% 120.52/120.90 Deleted: 8044
% 120.52/120.90 Deletedinuse: 610
% 120.52/120.90
% 120.52/120.90 Resimplifying inuse:
% 120.52/120.90 Done
% 120.52/120.90
% 120.52/120.90 Resimplifying inuse:
% 120.52/120.90 Done
% 120.52/120.90
% 120.52/120.90
% 120.52/120.90 Intermediate Status:
% 120.52/120.90 Generated: 1168608
% 120.52/120.90 Kept: 160020
% 120.52/120.90 Inuse: 2049
% 120.52/120.90 Deleted: 8044
% 120.52/120.90 Deletedinuse: 610
% 120.52/120.90
% 120.52/120.90 Resimplifying inuse:
% 120.52/120.90 Done
% 120.52/120.90
% 120.52/120.90 Resimplifying inuse:
% 120.52/120.90 Done
% 120.52/120.90
% 120.52/120.90
% 120.52/120.90 Intermediate Status:
% 120.52/120.90 Generated: 1188382
% 120.52/120.90 Kept: 162144
% 120.52/120.90 Inuse: 2069
% 120.52/120.90 Deleted: 8044
% 120.52/120.90 Deletedinuse: 610
% 120.52/120.90
% 120.52/120.90 Resimplifying clauses:
% 120.52/120.90 Done
% 120.52/120.90
% 120.52/120.90 Resimplifying inuse:
% 120.52/120.90 Done
% 120.52/120.90
% 120.52/120.90 Resimplifying inuse:
% 120.52/120.90 Done
% 120.52/120.90
% 120.52/120.90
% 120.52/120.90 Intermediate Status:
% 120.52/120.90 Generated: 1196889
% 120.52/120.90 Kept: 164271
% 120.52/120.90 Inuse: 2094
% 120.52/120.90 Deleted: 24045
% 120.52/120.90 Deletedinuse: 611
% 120.52/120.90
% 120.52/120.90 Resimplifying inuse:
% 120.52/120.90 Done
% 120.52/120.90
% 120.52/120.90 Resimplifying inuse:
% 120.52/120.90 Done
% 120.52/120.90
% 120.52/120.90
% 120.52/120.90 Intermediate Status:
% 120.52/120.90 Generated: 1203946
% 120.52/120.90 Kept: 166271
% 120.52/120.90 Inuse: 2115
% 120.52/120.90 Deleted: 24045
% 120.52/120.90 Deletedinuse: 611
% 120.52/120.90
% 120.52/120.90 Resimplifying inuse:
% 120.52/120.90 Done
% 120.52/120.90
% 120.52/120.90
% 120.52/120.90 Intermediate Status:
% 120.52/120.90 Generated: 1238690
% 120.52/120.90 Kept: 169989
% 120.52/120.90 Inuse: 2124
% 120.52/120.90 Deleted: 24045
% 120.52/120.90 Deletedinuse: 611
% 120.52/120.90
% 120.52/120.90 Resimplifying inuse:
% 120.52/120.90 Done
% 120.52/120.90
% 120.52/120.90 Resimplifying inuse:
% 120.52/120.90 Done
% 120.52/120.90
% 120.52/120.90
% 120.52/120.90 Intermediate Status:
% 120.52/120.90 Generated: 1256963
% 120.52/120.90 Kept: 171999
% 120.52/120.90 Inuse: 2143
% 120.52/120.90 Deleted: 24045
% 120.52/120.90 Deletedinuse: 611
% 120.52/120.90
% 120.52/120.90
% 120.52/120.90 Intermediate Status:
% 120.52/120.90 Generated: 1288500
% 120.52/120.90 Kept: 175531
% 120.52/120.90 Inuse: 2144
% 120.52/120.90 Deleted: 24045
% 120.52/120.90 Deletedinuse: 611
% 120.52/120.90
% 120.52/120.90 Resimplifying inuse:
% 120.52/120.90 Done
% 120.52/120.90
% 120.52/120.90
% 120.52/120.90 Intermediate Status:
% 120.52/120.90 Generated: 1299895
% 120.52/120.90 Kept: 177806
% 120.52/120.90 Inuse: 2149
% 120.52/120.90 Deleted: 24045
% 120.52/120.90 Deletedinuse: 611
% 120.52/120.90
% 120.52/120.90 Resimplifying inuse:
% 120.52/120.90 Done
% 120.52/120.90
% 120.52/120.90 Resimplifying inuse:
% 120.52/120.90 Done
% 120.52/120.90
% 120.52/120.90
% 120.52/120.90 Intermediate Status:
% 120.52/120.90 Generated: 1315225
% 120.52/120.90 Kept: 179921
% 120.52/120.90 Inuse: 2164
% 120.52/120.90 Deleted: 24045
% 120.52/120.90 Deletedinuse: 611
% 120.52/120.90
% 120.52/120.90 Resimplifying inuse:
% 120.52/120.90 Done
% 120.52/120.90
% 120.52/120.90
% 120.52/120.90 Intermediate Status:
% 120.52/120.90 Generated: 1331616
% 120.52/120.90 Kept: 182564
% 120.52/120.90 Inuse: 2184
% 120.52/120.90 Deleted: 24045
% 120.52/120.90 Deletedinuse: 611
% 120.52/120.90
% 120.52/120.90 Resimplifying inuse:
% 120.52/120.90 Done
% 120.52/120.90
% 120.52/120.90 Resimplifying clauses:
% 120.52/120.90
% 120.52/120.90 Bliksems!, er is een bewijs:
% 120.52/120.90 % SZS status Unsatisfiable
% 120.52/120.90 % SZS output start Refutation
% 120.52/120.90
% 120.52/120.90 clause( 10, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 120.52/120.90 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 120.52/120.90 , Z, X ), X ) ] )
% 120.52/120.90 .
% 120.52/120.90 clause( 180, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( Y
% 120.52/120.90 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 120.52/120.90 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 120.52/120.90 , X ) ) ] )
% 120.52/120.90 .
% 120.52/120.90 clause( 438, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 120.52/120.90 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'( Z, X )
% 120.52/120.90 , X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ] )
% 120.52/120.90 .
% 120.52/120.90 clause( 530, [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 120.52/120.90 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 120.52/120.90 'c_HOL_Oone__class_Oone'( X ) ) ] )
% 120.52/120.90 .
% 120.52/120.90 clause( 537, [ =( 'c_Power_Opower__class_Opower'( 'c_FFT__Mirabelle_Oroot'(
% 120.52/120.90 X ), X, 'tc_Complex_Ocomplex' ), 'c_HOL_Oone__class_Oone'(
% 120.52/120.90 'tc_Complex_Ocomplex' ) ) ] )
% 120.52/120.90 .
% 120.52/120.90 clause( 541, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 120.52/120.90 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 120.52/120.90 ) ] )
% 120.52/120.90 .
% 120.52/120.90 clause( 551, [ ~( =( 'c_HOL_Oinverse__class_Odivide'(
% 120.52/120.90 'c_HOL_Ominus__class_Ominus'( 'c_Power_Opower__class_Opower'(
% 120.52/120.90 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ), 'v_k',
% 120.52/120.90 'tc_Complex_Ocomplex' ), 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex'
% 120.52/120.90 ), 'tc_Complex_Ocomplex' ), 'c_HOL_Ominus__class_Ominus'(
% 120.52/120.90 'c_Power_Opower__class_Opower'( 'c_FFT__Mirabelle_Oroot'( 'v_n' ), 'v_k'
% 120.52/120.90 , 'tc_Complex_Ocomplex' ), 'c_HOL_Oone__class_Oone'(
% 120.52/120.90 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' )
% 120.52/120.90 , 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ) ) ) ] )
% 120.52/120.90 .
% 120.52/120.90 clause( 621, [ 'class_Ring__and__Field_Ocomm__semiring__1'(
% 120.52/120.90 'tc_Complex_Ocomplex' ) ] )
% 120.52/120.90 .
% 120.52/120.90 clause( 632, [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Complex_Ocomplex' )
% 120.52/120.90 ] )
% 120.52/120.90 .
% 120.52/120.90 clause( 633, [ 'class_OrderedGroup_Ogroup__add'( 'tc_Complex_Ocomplex' ) ]
% 120.52/120.90 )
% 120.52/120.90 .
% 120.52/120.90 clause( 635, [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex' ) ]
% 120.52/120.90 )
% 120.52/120.90 .
% 120.52/120.90 clause( 835, [ 'c_Ring__and__Field_Odvd__class_Odvd'( X,
% 120.52/120.90 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_Complex_Ocomplex' ),
% 120.52/120.90 'tc_Complex_Ocomplex' ) ] )
% 120.52/120.90 .
% 120.52/120.90 clause( 1663, [ =( 'c_HOL_Ominus__class_Ominus'( X, X,
% 120.52/120.90 'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'(
% 120.52/120.90 'tc_Complex_Ocomplex' ) ) ] )
% 120.52/120.90 .
% 120.52/120.90 clause( 124399, [ 'c_Ring__and__Field_Odvd__class_Odvd'( X,
% 120.52/120.90 'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_Complex_Ocomplex' ),
% 120.52/120.90 'tc_Complex_Ocomplex' ) ] )
% 120.52/120.90 .
% 120.52/120.90 clause( 124422, [ =( 'c_HOL_Oinverse__class_Odivide'(
% 120.52/120.90 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ), X,
% 120.52/120.90 'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'(
% 120.52/120.90 'tc_Complex_Ocomplex' ) ) ] )
% 120.52/120.90 .
% 120.52/120.90 clause( 171844, [ =( 'c_Power_Opower__class_Opower'(
% 120.52/120.90 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ), X,
% 120.52/120.90 'tc_Complex_Ocomplex' ), 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex'
% 120.52/120.90 ) ) ] )
% 120.52/120.90 .
% 120.52/120.90 clause( 182577, [] )
% 120.52/120.90 .
% 120.52/120.90
% 120.52/120.90
% 120.52/120.90 % SZS output end Refutation
% 120.52/120.90 found a proof!
% 120.52/120.90
% 120.52/120.90 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 120.52/120.90
% 120.52/120.90 initialclauses(
% 120.52/120.90 [ clause( 182579, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 120.52/120.90 X ) ), 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 120.52/120.90 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ] )
% 120.52/120.90 , clause( 182580, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 120.52/120.90 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 120.52/120.90 , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 120.52/120.90 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 120.52/120.90 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 120.52/120.90 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 120.52/120.90 , clause( 182581, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 120.52/120.90 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 120.52/120.90 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 120.52/120.90 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 120.52/120.90 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 120.52/120.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 120.52/120.90 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ),
% 120.52/120.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ] )
% 120.52/120.90 , clause( 182582, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 120.52/120.90 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 120.52/120.90 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 120.52/120.90 , Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 120.52/120.90 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 120.52/120.90 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 120.52/120.90 'c_HOL_Oinverse__class_Odivide'( T, Z, X ),
% 120.52/120.90 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ] )
% 120.52/120.90 , clause( 182583, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 120.52/120.90 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 120.52/120.90 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 120.52/120.90 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 120.52/120.90 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 120.52/120.90 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 120.52/120.90 ), X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 120.52/120.90 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 120.52/120.90 ), X ), Z, X ) ) ] )
% 120.52/120.90 , clause( 182584, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 120.52/120.90 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 120.52/120.90 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 120.52/120.90 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 120.52/120.90 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 120.52/120.90 'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 120.52/120.90 ), X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 120.52/120.90 'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 120.52/120.90 ), X ), X ) ) ] )
% 120.52/120.90 , clause( 182585, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 120.52/120.90 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 120.52/120.90 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 120.52/120.90 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 120.52/120.90 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 120.52/120.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 120.52/120.90 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~(
% 120.52/120.90 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 120.52/120.90 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ] )
% 120.52/120.90 , clause( 182586, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 120.52/120.90 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 120.52/120.90 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 120.52/120.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 120.52/120.90 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'( Y,
% 120.52/120.90 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, T, X ) ) ]
% 120.52/120.90 )
% 120.52/120.90 , clause( 182587, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 120.52/120.90 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 120.52/120.90 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 120.52/120.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 120.52/120.90 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'(
% 120.52/120.90 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( T, Z, X ) )
% 120.52/120.90 ] )
% 120.52/120.90 , clause( 182588, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 120.52/120.90 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 120.52/120.90 , Y, X ), X ) ] )
% 120.52/120.90 , clause( 182589, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 120.52/120.90 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 120.52/120.90 , Z, X ), X ) ] )
% 120.52/120.90 , clause( 182590, [ ~( 'class_Ring__and__Field_Odvd'( X ) ),
% 120.52/120.90 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 120.52/120.90 , Z, X ), X ) ] )
% 120.52/120.90 , clause( 182591, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 120.52/120.90 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oabs__class_Oabs'(
% 120.52/120.90 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 120.52/120.90 'c_HOL_Ouminus__class_Ouminus'( 'c_Int_Onumber__class_Onumber__of'( Y, X
% 120.52/120.90 ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 120.52/120.90 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 120.52/120.90 ), X ) ) ] )
% 120.52/120.90 , clause( 182592, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 120.52/120.90 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 120.52/120.90 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 120.52/120.90 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 120.52/120.90 , clause( 182593, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 120.52/120.90 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 120.52/120.90 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 120.52/120.90 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 120.52/120.90 , clause( 182594, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 120.52/120.90 X ) ), 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'(
% 120.52/120.90 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 120.52/120.90 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ), 'c_HOL_Oabs__class_Oabs'(
% 120.52/120.90 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), X ) ] )
% 120.52/120.90 , clause( 182595, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 120.52/120.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 120.52/120.90 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 120.52/120.90 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 120.52/120.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Z, X ), U, X ) ),
% 120.52/120.90 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), T, X ) )
% 120.52/120.90 ] )
% 120.52/120.90 , clause( 182596, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 120.52/120.90 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 120.52/120.90 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 120.52/120.90 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 120.52/120.90 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 120.52/120.90 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 120.52/120.90 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 120.52/120.90 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ] )
% 120.52/120.90 , clause( 182597, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 120.52/120.90 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 120.52/120.90 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 120.52/120.90 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 120.52/120.90 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'(
% 120.52/120.90 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 120.52/120.90 ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T
% 120.52/120.90 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ] )
% 120.52/120.90 , clause( 182598, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 120.52/120.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 120.52/120.90 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 120.52/120.90 ), X ), Y ) ] )
% 120.52/120.90 , clause( 182599, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 120.52/120.90 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 120.52/120.90 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 120.52/120.90 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 120.52/120.90 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 120.52/120.90 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'(
% 120.52/120.90 Y, 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ), ~(
% 120.52/120.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 120.52/120.90 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ] )
% 120.52/120.90 , clause( 182600, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 120.52/120.90 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 120.52/120.90 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 120.52/120.90 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 120.52/120.90 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 120.52/120.90 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T
% 120.52/120.90 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ), ~(
% 120.52/120.90 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 120.52/120.90 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ] )
% 120.52/120.90 , clause( 182601, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 120.52/120.90 =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'(
% 120.52/120.90 Z, Y, X ) ) ] )
% 120.52/120.90 , clause( 182602, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 120.52/120.90 =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'(
% 120.52/120.90 Z, Y, X ) ) ] )
% 120.52/120.90 , clause( 182603, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 120.52/120.90 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 120.52/120.90 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), T, X ), ~(
% 120.52/120.90 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 120.52/120.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 120.52/120.90 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ),
% 120.52/120.90 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ] )
% 120.52/120.90 , clause( 182604, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 120.52/120.90 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 120.52/120.90 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 120.52/120.90 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 120.52/120.90 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 120.52/120.90 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 120.52/120.90 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ),
% 120.52/120.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ] )
% 120.52/120.90 , clause( 182605, [ ~( 'class_Orderings_Oorder'( X ) ),
% 120.52/120.90 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 120.52/120.90 , X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ] )
% 120.52/120.90 , clause( 182606, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 120.52/120.90 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( T, Z
% 120.52/120.90 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 120.52/120.90 , clause( 182607, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 120.52/120.90 'c_lessequals'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ]
% 120.52/120.90 )
% 120.52/120.90 , clause( 182608, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 120.52/120.90 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_lessequals'( Z, Y, X ) ] )
% 120.52/120.90 , clause( 182609, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 120.52/120.90 'c_lessequals'( Y, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ]
% 120.52/120.90 )
% 120.52/120.90 , clause( 182610, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 120.52/120.90 'c_HOL_Oord__class_Oless'( Y, Y, X ), 'c_lessequals'( Y, Y, X ) ] )
% 120.52/120.90 , clause( 182611, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 120.52/120.90 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 120.52/120.90 )
% 120.52/120.90 , clause( 182612, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 120.52/120.90 Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ] )
% 120.52/120.90 , clause( 182613, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 120.52/120.90 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_lessequals'( Z, Y, X ) ] )
% 120.52/120.90 , clause( 182614, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 120.52/120.90 'c_lessequals'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ]
% 120.52/120.90 )
% 120.52/120.90 , clause( 182615, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 120.52/120.90 X ) ), 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 120.52/120.90 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 120.52/120.90 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 120.52/120.90 , T, X ), X ) ) ] )
% 120.52/120.90 , clause( 182616, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 120.52/120.90 X ) ), 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 120.52/120.90 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 120.52/120.90 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 120.52/120.90 , Z, X ), X ) ) ] )
% 120.52/120.90 , clause( 182617, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 120.52/120.90 ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 120.52/120.90 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X
% 120.52/120.90 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 120.52/120.90 ) ) ] )
% 120.52/120.90 , clause( 182618, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 120.52/120.90 ), 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 120.52/120.90 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 120.52/120.90 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 120.52/120.90 X ), T, X ) ) ] )
% 120.52/120.90 , clause( 182619, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 120.52/120.90 ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 120.52/120.90 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( T, Z, X
% 120.52/120.90 ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 120.52/120.90 ) ) ] )
% 120.52/120.90 , clause( 182620, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 120.52/120.90 ), 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 120.52/120.90 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 120.52/120.90 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 120.52/120.90 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 120.52/120.90 , clause( 182621, [ ~( 'class_Int_Oring__char__0'( X ) ), ~(
% 120.52/120.90 'class_Int_Onumber__ring'( X ) ), ~( =(
% 120.52/120.90 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 120.52/120.90 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =( Y, Z ) ] )
% 120.52/120.90 , clause( 182622, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 120.52/120.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 120.52/120.90 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ),
% 120.52/120.90 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ] )
% 120.52/120.90 , clause( 182623, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 120.52/120.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 120.52/120.90 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 120.52/120.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 120.52/120.90 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 120.52/120.90 , Y, X ) ) ] )
% 120.52/120.90 , clause( 182624, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 120.52/120.90 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 120.52/120.90 'c_Power_Opower__class_Opower'( T, Z, X ), X ), ~(
% 120.52/120.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 120.52/120.90 'tc_nat' ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 120.52/120.90 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 120.52/120.90 , clause( 182625, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 120.52/120.90 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 120.52/120.90 , X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 120.52/120.90 , clause( 182626, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 120.52/120.90 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 120.52/120.90 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 120.52/120.90 , X ) ) ] )
% 120.52/120.90 , clause( 182627, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 120.52/120.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 120.52/120.90 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 120.52/120.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 120.52/120.90 'c_HOL_Oone__class_Oone'( X ), X ) ) ] )
% 120.52/120.90 , clause( 182628, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 120.52/120.90 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 120.52/120.90 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 120.52/120.90 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 120.52/120.90 X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 120.52/120.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 120.52/120.90 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ] )
% 120.52/120.90 , clause( 182629, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 120.52/120.90 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 120.52/120.90 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 120.52/120.90 ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 120.52/120.90 X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~(
% 120.52/120.90 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 120.52/120.90 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ] )
% 120.52/120.90 , clause( 182630, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 120.52/120.90 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 120.52/120.90 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 120.52/120.90 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 120.52/120.90 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 120.52/120.90 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 120.52/120.90 T, 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ] )
% 120.52/120.90 , clause( 182631, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 120.52/120.90 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 120.52/120.90 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 120.52/120.90 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 120.52/120.90 ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 120.52/120.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y,
% 120.52/120.90 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ] )
% 120.52/120.90 , clause( 182632, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 120.52/120.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X
% 120.52/120.90 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 120.52/120.90 'c_HOL_Ominus__class_Ominus'( T, Y, X ), X ), Z, X ) ) ] )
% 120.52/120.90 , clause( 182633, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 120.52/120.90 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 120.52/120.90 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 120.52/120.90 ] )
% 120.52/120.90 , clause( 182634, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 120.52/120.90 X ) ), =( 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~(
% 120.52/120.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 120.52/120.90 , clause( 182635, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 120.52/120.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 120.52/120.90 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 120.52/120.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 120.52/120.90 , clause( 182636, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 120.52/120.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 120.52/120.90 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 120.52/120.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 120.52/120.90 , clause( 182637, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 120.52/120.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 120.52/120.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 120.52/120.90 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ] )
% 120.52/120.90 , clause( 182638, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 120.52/120.90 ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 120.52/120.90 'c_Power_Opower__class_Opower'( T, Z, X ) ) ), =( Y, T ), ~(
% 120.52/120.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 120.52/120.90 'tc_nat' ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 120.52/120.90 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 120.52/120.90 , clause( 182639, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 120.52/120.90 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 120.52/120.90 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 120.52/120.90 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 120.52/120.90 X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 'c_lessequals'(
% 120.52/120.90 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 120.52/120.90 ), X ), Z, X ) ) ] )
% 120.52/120.90 , clause( 182640, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 120.52/120.90 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 120.52/120.90 Y, 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), T, X ), ~(
% 120.52/120.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 120.52/120.90 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'( Y,
% 120.52/120.90 'c_HOL_Oinverse__class_Odivide'( T, 'c_Int_Onumber__class_Onumber__of'( Z
% 120.52/120.90 , X ), X ), X ) ) ] )
% 120.52/120.90 , clause( 182641, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 120.52/120.90 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 120.52/120.90 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 120.52/120.90 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 120.52/120.90 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 120.52/120.90 ), X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 120.52/120.90 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ] )
% 120.52/120.90 , clause( 182642, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 120.52/120.90 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 120.52/120.90 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 120.52/120.90 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 120.52/120.90 ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 'c_lessequals'(
% 120.52/120.90 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( T
% 120.52/120.90 , X ), X ), Z, X ) ) ] )
% 120.52/120.90 , clause( 182643, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 120.52/120.90 X ) ), =( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 120.52/120.90 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ), ~( 'c_lessequals'( Y,
% 120.52/120.90 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 120.52/120.90 , clause( 182644, [ ~(
% 120.52/120.90 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 120.52/120.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 120.52/120.90 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 120.52/120.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 120.52/120.90 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ] )
% 120.52/120.90 , clause( 182645, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 120.52/120.90 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 120.52/120.90 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 120.52/120.90 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 120.52/120.90 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 120.52/120.90 , clause( 182646, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 120.52/120.90 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 120.52/120.90 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 120.52/120.90 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 120.52/120.90 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 120.52/120.90 , clause( 182647, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 120.52/120.90 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 120.52/120.90 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 120.52/120.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 120.52/120.90 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 120.52/120.90 , clause( 182648, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 120.52/120.90 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 120.52/120.90 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 120.52/120.90 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 120.52/120.90 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ] )
% 120.52/120.90 , clause( 182649, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 120.52/120.90 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 120.52/120.90 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 120.52/120.90 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 120.52/120.90 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 120.52/120.90 , clause( 182650, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 120.52/120.90 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 120.52/120.90 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 120.52/120.90 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 120.52/120.90 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 120.52/120.90 , clause( 182651, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 120.52/120.90 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 120.52/120.90 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 120.52/120.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 120.52/120.90 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ] )
% 120.52/120.90 , clause( 182652, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 120.52/120.90 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y
% 120.52/120.90 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y
% 120.52/120.90 , X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ] )
% 120.52/120.90 , clause( 182653, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 120.52/120.90 ), 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 120.52/120.90 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_lessequals'( Z, Y, X )
% 120.52/120.90 ) ] )
% 120.52/120.90 , clause( 182654, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 120.52/120.90 ), 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 120.52/120.90 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 120.52/120.90 , X ), X ) ) ] )
% 120.52/120.90 , clause( 182655, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 120.52/120.90 X ) ), 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'(
% 120.52/120.90 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 120.52/120.90 ) ] )
% 120.52/120.90 , clause( 182656, [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~(
% 120.52/120.90 'class_Int_Onumber'( X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 120.52/120.90 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ominus__class_Ominus'(
% 120.52/120.90 Z, T, X ), X ), 'c_HOL_Ominus__class_Ominus'(
% 120.52/120.90 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 120.52/120.90 , Z, X ), 'c_HOL_Otimes__class_Otimes'(
% 120.52/120.90 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ) ] )
% 120.52/120.90 , clause( 182657, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 120.52/120.90 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 120.52/120.90 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 120.52/120.90 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 120.52/120.90 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 120.52/120.90 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'(
% 120.52/120.90 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ), ~(
% 120.52/120.90 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 120.52/120.90 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ] )
% 120.52/120.90 , clause( 182658, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 120.52/120.90 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 120.52/120.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 120.52/120.90 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), Z, X ) ) ] )
% 120.52/120.90 , clause( 182659, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 120.52/120.90 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 120.52/120.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 120.52/120.90 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ] )
% 120.52/120.90 , clause( 182660, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 120.52/120.90 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 120.52/120.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 120.52/120.90 'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ] )
% 120.52/120.90 , clause( 182661, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 120.52/120.90 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 120.52/120.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 120.52/120.90 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ] )
% 120.52/120.90 , clause( 182662, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 120.52/120.90 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 120.52/120.90 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ), ~(
% 120.52/120.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 120.52/120.90 , clause( 182663, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 120.52/120.90 'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 120.52/120.90 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ), ~(
% 120.52/120.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ] )
% 120.52/120.90 , clause( 182664, [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 120.52/120.90 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 120.52/120.90 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 120.52/120.90 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 120.52/120.90 , Z, X ), X ) ) ] )
% 120.52/120.90 , clause( 182665, [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 120.52/120.90 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 120.52/120.90 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 120.52/120.90 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 120.52/120.90 , T, X ), X ) ) ] )
% 120.52/120.90 , clause( 182666, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 120.52/120.90 X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 120.52/120.90 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 120.52/120.90 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 120.52/120.90 , Z, X ), X ) ) ] )
% 120.52/120.90 , clause( 182667, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 120.52/120.90 X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 120.52/120.90 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 120.52/120.90 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 120.52/120.90 , T, X ), X ) ) ] )
% 120.52/120.90 , clause( 182668, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =(
% 120.52/120.90 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 120.52/120.90 , Z, X ) ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), =( Y, Z ) ]
% 120.52/120.90 )
% 120.52/120.90 , clause( 182669, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 120.52/120.90 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 120.52/120.90 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 120.52/120.90 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 120.52/120.90 ) ] )
% 120.52/120.90 , clause( 182670, [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =(
% 120.52/120.90 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 120.52/120.90 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 120.52/120.90 ) ] )
% 120.52/120.90 , clause( 182671, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 120.52/120.90 X ) ), =( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 120.52/120.90 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 120.52/120.90 , 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 120.52/120.90 , clause( 182672, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 120.52/120.90 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 120.52/120.90 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 120.52/120.90 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 120.52/120.90 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 120.52/120.90 , clause( 182673, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 120.52/120.90 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 120.52/120.90 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 120.52/120.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 120.52/120.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 120.52/120.90 , clause( 182674, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 120.52/120.90 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 120.52/120.90 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) )
% 120.52/120.90 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 120.52/120.90 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ] )
% 120.52/120.90 , clause( 182675, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 120.52/120.90 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 120.52/120.90 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) )
% 120.52/120.90 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 120.52/120.90 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ] )
% 120.52/120.90 , clause( 182676, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 120.52/120.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 120.52/120.90 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 120.52/120.90 ) ] )
% 120.52/120.90 , clause( 182677, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 120.52/120.90 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 120.52/120.90 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 120.52/120.90 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~(
% 120.52/120.90 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ] )
% 120.52/120.90 , clause( 182678, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 120.52/120.90 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 120.52/120.90 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 120.52/120.90 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~(
% 120.52/120.90 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ] )
% 120.52/120.90 , clause( 182679, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 120.52/120.90 ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 120.52/120.90 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 120.52/120.90 , X ), X ) ) ] )
% 120.52/120.90 , clause( 182680, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 120.52/120.90 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 120.52/120.90 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 120.52/120.90 Z, Y, X ) ) ] )
% 120.52/120.90 , clause( 182681, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 120.52/120.90 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 120.52/120.90 , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 120.52/120.90 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 120.52/120.90 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ] )
% 120.52/120.91 , clause( 182682, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 120.52/120.91 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 120.52/120.91 , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 120.52/120.91 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 120.52/120.91 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ] )
% 120.52/120.91 , clause( 182683, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 120.52/120.91 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 120.52/120.91 , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 120.52/120.91 'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'(
% 120.52/120.91 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ] )
% 120.52/120.91 , clause( 182684, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 120.52/120.91 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'( Y,
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 120.52/120.91 , clause( 182685, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 120.52/120.91 X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 120.52/120.91 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 120.52/120.91 ] )
% 120.52/120.91 , clause( 182686, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 120.52/120.91 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 120.52/120.91 , X ) ) ), =( Y, Z ) ] )
% 120.52/120.91 , clause( 182687, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 120.52/120.91 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 120.52/120.91 , X ) ) ), =( Y, Z ) ] )
% 120.52/120.91 , clause( 182688, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~(
% 120.52/120.91 'c_lessequals'( Z, Y, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 120.52/120.91 , clause( 182689, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 120.52/120.91 ), =( Z, Y ) ] )
% 120.52/120.91 , clause( 182690, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~(
% 120.52/120.91 'c_lessequals'( Z, Y, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 120.52/120.91 , clause( 182691, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ), =( Y, X ) ] )
% 120.52/120.91 , clause( 182692, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ), =( Y, X ) ] )
% 120.52/120.91 , clause( 182693, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~(
% 120.52/120.91 'c_lessequals'( Y, Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ] )
% 120.52/120.91 , clause( 182694, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Z, Y ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( Z, Y, X ) ] )
% 120.52/120.91 , clause( 182695, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 120.52/120.91 ) ] )
% 120.52/120.91 , clause( 182696, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 120.52/120.91 ) ] )
% 120.52/120.91 , clause( 182697, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 120.52/120.91 ), =( Z, Y ) ] )
% 120.52/120.91 , clause( 182698, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 120.52/120.91 X ) ), =( 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_lessequals'(
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 120.52/120.91 , clause( 182699, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 120.52/120.91 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Y, X ) ] )
% 120.52/120.91 , clause( 182700, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 120.52/120.91 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 120.52/120.91 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~(
% 120.52/120.91 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ] )
% 120.52/120.91 , clause( 182701, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 120.52/120.91 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'(
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), X ) ] )
% 120.52/120.91 , clause( 182702, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 120.52/120.91 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y,
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Otimes__class_Otimes'( Z,
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ] )
% 120.52/120.91 , clause( 182703, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 120.52/120.91 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 120.52/120.91 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 120.52/120.91 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ] )
% 120.52/120.91 , clause( 182704, [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) )
% 120.52/120.91 , =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X
% 120.52/120.91 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 120.52/120.91 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'(
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 120.52/120.91 , clause( 182705, [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) )
% 120.52/120.91 , =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X
% 120.52/120.91 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 120.52/120.91 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z,
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 120.52/120.91 , clause( 182706, [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) )
% 120.52/120.91 , =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X
% 120.52/120.91 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 120.52/120.91 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'(
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 120.52/120.91 , clause( 182707, [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) )
% 120.52/120.91 , =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X
% 120.52/120.91 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 120.52/120.91 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z,
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 120.52/120.91 , clause( 182708, [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 120.52/120.91 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 120.52/120.91 X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 120.52/120.91 , Z, X ) ) ] )
% 120.52/120.91 , clause( 182709, [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 120.52/120.91 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 120.52/120.91 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 120.52/120.91 X ), X ) ) ] )
% 120.52/120.91 , clause( 182710, [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X )
% 120.52/120.91 ), =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y,
% 120.52/120.91 Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ] )
% 120.52/120.91 , clause( 182711, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 120.52/120.91 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 120.52/120.91 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~(
% 120.52/120.91 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'(
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ] )
% 120.52/120.91 , clause( 182712, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 120.52/120.91 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 120.52/120.91 ), X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 120.52/120.91 , X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 120.52/120.91 ] )
% 120.52/120.91 , clause( 182713, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 120.52/120.91 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X
% 120.52/120.91 ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 120.52/120.91 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ),
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ] )
% 120.52/120.91 , clause( 182714, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 120.52/120.91 ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 120.52/120.91 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 120.52/120.91 , clause( 182715, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 120.52/120.91 ), 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 120.52/120.91 , clause( 182716, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 120.52/120.91 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X
% 120.52/120.91 ), Y, X ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'(
% 120.52/120.91 Z, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 120.52/120.91 ), X ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T,
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ] )
% 120.52/120.91 , clause( 182717, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 120.52/120.91 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 120.52/120.91 , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 120.52/120.91 , X ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z
% 120.52/120.91 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 120.52/120.91 ), X ) ] )
% 120.52/120.91 , clause( 182718, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 120.52/120.91 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'(
% 120.52/120.91 X ), X ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'(
% 120.52/120.91 Z, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 120.52/120.91 ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ] )
% 120.52/120.91 , clause( 182719, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 120.52/120.91 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 120.52/120.91 , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 120.52/120.91 ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X
% 120.52/120.91 ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 120.52/120.91 ), X ) ] )
% 120.52/120.91 , clause( 182720, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 120.52/120.91 ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 120.52/120.91 , clause( 182721, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 120.52/120.91 ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 120.52/120.91 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 120.52/120.91 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 120.52/120.91 , clause( 182722, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 120.52/120.91 ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 120.52/120.91 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 120.52/120.91 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 120.52/120.91 , clause( 182723, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 120.52/120.91 ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 120.52/120.91 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 120.52/120.91 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 120.52/120.91 , clause( 182724, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 120.52/120.91 ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 120.52/120.91 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 120.52/120.91 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 120.52/120.91 , clause( 182725, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 120.52/120.91 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 120.52/120.91 , 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 120.52/120.91 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 120.52/120.91 , clause( 182726, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 120.52/120.91 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 120.52/120.91 , 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 120.52/120.91 , clause( 182727, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 120.52/120.91 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 120.52/120.91 , 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 120.52/120.91 , clause( 182728, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 120.52/120.91 X ) ), 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ),
% 120.52/120.91 ~( 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ] )
% 120.52/120.91 , clause( 182729, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 120.52/120.91 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 120.52/120.91 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ] )
% 120.52/120.91 , clause( 182730, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 120.52/120.91 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 120.52/120.91 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ] )
% 120.52/120.91 , clause( 182731, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 120.52/120.91 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 120.52/120.91 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, T
% 120.52/120.91 , X ), Z, X ) ) ] )
% 120.52/120.91 , clause( 182732, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 120.52/120.91 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 120.52/120.91 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( T, Y
% 120.52/120.91 , X ), Z, X ) ) ] )
% 120.52/120.91 , clause( 182733, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), =( Y
% 120.52/120.91 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 120.52/120.91 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 120.52/120.91 , X ) ) ] )
% 120.52/120.91 , clause( 182734, [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ),
% 120.52/120.91 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 120.52/120.91 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'(
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Z, T, X ) )
% 120.52/120.91 ] )
% 120.52/120.91 , clause( 182735, [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ),
% 120.52/120.91 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 120.52/120.91 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'(
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Z, T, X ) )
% 120.52/120.91 ] )
% 120.52/120.91 , clause( 182736, [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ),
% 120.52/120.91 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 120.52/120.91 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~( 'c_lessequals'(
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 120.52/120.91 ] )
% 120.52/120.91 , clause( 182737, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 120.52/120.91 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 120.52/120.91 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( Y,
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Z, X ) ) ]
% 120.52/120.91 )
% 120.52/120.91 , clause( 182738, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 120.52/120.91 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 120.52/120.91 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~( 'c_lessequals'( Z,
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 120.52/120.91 )
% 120.52/120.91 , clause( 182739, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 120.52/120.91 =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X )
% 120.52/120.91 ) ), =( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Z ) ] )
% 120.52/120.91 , clause( 182740, [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X )
% 120.52/120.91 ), =( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ] )
% 120.52/120.91 , clause( 182741, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 120.52/120.91 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 120.52/120.91 , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 120.52/120.91 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 120.52/120.91 , clause( 182742, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 120.52/120.91 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 120.52/120.91 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ) ] )
% 120.52/120.91 , clause( 182743, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 120.52/120.91 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 120.52/120.91 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 120.52/120.91 , Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ] )
% 120.52/120.91 , clause( 182744, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 120.52/120.91 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ] )
% 120.52/120.91 , clause( 182745, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 120.52/120.91 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 120.52/120.91 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ] )
% 120.52/120.91 , clause( 182746, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 120.52/120.91 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), T, X ), ~(
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 120.52/120.91 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ] )
% 120.52/120.91 , clause( 182747, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 120.52/120.91 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 120.52/120.91 ), X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X )
% 120.52/120.91 , X ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ] )
% 120.52/120.91 , clause( 182748, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 120.52/120.91 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 120.52/120.91 ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'(
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ] )
% 120.52/120.91 , clause( 182749, [ ~( 'class_Orderings_Oorder'( X ) ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 120.52/120.91 , X ) ) ] )
% 120.52/120.91 , clause( 182750, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 120.52/120.91 , clause( 182751, [ ~( 'class_Orderings_Oorder'( X ) ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 120.52/120.91 , X ) ) ] )
% 120.52/120.91 , clause( 182752, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 120.52/120.91 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 120.52/120.91 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 120.52/120.91 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 120.52/120.91 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ] )
% 120.52/120.91 , clause( 182753, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 120.52/120.91 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 120.52/120.91 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 120.52/120.91 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 120.52/120.91 , clause( 182754, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 120.52/120.91 ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 120.52/120.91 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 120.52/120.91 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 120.52/120.91 X ), T, X ) ) ] )
% 120.52/120.91 , clause( 182755, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 120.52/120.91 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 120.52/120.91 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 120.52/120.91 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 120.52/120.91 , clause( 182756, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 120.52/120.91 ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 120.52/120.91 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 120.52/120.91 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 120.52/120.91 , clause( 182757, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 120.52/120.91 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T,
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 120.52/120.91 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, T
% 120.52/120.91 , X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 120.52/120.91 , clause( 182758, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 120.52/120.91 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T,
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 120.52/120.91 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( T, Y
% 120.52/120.91 , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ] )
% 120.52/120.91 , clause( 182759, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 120.52/120.91 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Z, X ) ), ~(
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ] )
% 120.52/120.91 , clause( 182760, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 120.52/120.91 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 120.52/120.91 ), Y ) ] )
% 120.52/120.91 , clause( 182761, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 120.52/120.91 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 120.52/120.91 ) ) ] )
% 120.52/120.91 , clause( 182762, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 120.52/120.91 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 120.52/120.91 ) ) ] )
% 120.52/120.91 , clause( 182763, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 120.52/120.91 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 120.52/120.91 ), Y ) ] )
% 120.52/120.91 , clause( 182764, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 120.52/120.91 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 120.52/120.91 ), Y ) ] )
% 120.52/120.91 , clause( 182765, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 120.52/120.91 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z
% 120.52/120.91 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X
% 120.52/120.91 ), Y, X ) ) ] )
% 120.52/120.91 , clause( 182766, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 120.52/120.91 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z
% 120.52/120.91 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X
% 120.52/120.91 ), Y, X ) ) ] )
% 120.52/120.91 , clause( 182767, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 120.52/120.91 ), 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X )
% 120.52/120.91 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y
% 120.52/120.91 , X ), X ) ) ] )
% 120.52/120.91 , clause( 182768, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 120.52/120.91 ), 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X )
% 120.52/120.91 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y
% 120.52/120.91 , X ), X ) ) ] )
% 120.52/120.91 , clause( 182769, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 120.52/120.91 ), 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 120.52/120.91 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ] )
% 120.52/120.91 , clause( 182770, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 120.52/120.91 ), 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 120.52/120.91 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ] )
% 120.52/120.91 , clause( 182771, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 120.52/120.91 ), 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 120.52/120.91 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 120.52/120.91 , clause( 182772, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 120.52/120.91 ), 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 120.52/120.91 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 120.52/120.91 , clause( 182773, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 120.52/120.91 X ) ), ~( =( 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 120.52/120.91 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 120.52/120.91 , clause( 182774, [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) )
% 120.52/120.91 , =( 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X )
% 120.52/120.91 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 120.52/120.91 , clause( 182775, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 120.52/120.91 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 120.52/120.91 , clause( 182776, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 120.52/120.91 =( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 120.52/120.91 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 120.52/120.91 , clause( 182777, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 120.52/120.91 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 120.52/120.91 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 120.52/120.91 , clause( 182778, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'(
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 120.52/120.91 , clause( 182779, [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 120.52/120.91 X ) ), =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 120.52/120.91 ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 120.52/120.91 , clause( 182780, [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 120.52/120.91 X ) ), =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 120.52/120.91 Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 120.52/120.91 , clause( 182781, [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 120.52/120.91 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 120.52/120.91 , clause( 182782, [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 120.52/120.91 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 120.52/120.91 , clause( 182783, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 120.52/120.91 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 120.52/120.91 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 120.52/120.91 , clause( 182784, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 120.52/120.91 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 120.52/120.91 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 120.52/120.91 , clause( 182785, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 120.52/120.91 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 120.52/120.91 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 120.52/120.91 , clause( 182786, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 120.52/120.91 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 120.52/120.91 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 120.52/120.91 , clause( 182787, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 120.52/120.91 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 120.52/120.91 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 120.52/120.91 , clause( 182788, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 120.52/120.91 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 120.52/120.91 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 120.52/120.91 , clause( 182789, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 120.52/120.91 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 120.52/120.91 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 120.52/120.91 , clause( 182790, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 120.52/120.91 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 120.52/120.91 , X ) ] )
% 120.52/120.91 , clause( 182791, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 120.52/120.91 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 120.52/120.91 ), X ), Y ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 120.52/120.91 , clause( 182792, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 120.52/120.91 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 120.52/120.91 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 120.52/120.91 , X ) ) ] )
% 120.52/120.91 , clause( 182793, [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) )
% 120.52/120.91 , ~( =( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y ) ), =( Y,
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 120.52/120.91 , clause( 182794, [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) )
% 120.52/120.91 , =( 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X
% 120.52/120.91 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 120.52/120.91 , clause( 182795, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 120.52/120.91 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 120.52/120.91 , clause( 182796, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 120.52/120.91 =( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 120.52/120.91 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ), =( Z,
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 120.52/120.91 ) ] )
% 120.52/120.91 , clause( 182797, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 120.52/120.91 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 120.52/120.91 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 120.52/120.91 , clause( 182798, [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 120.52/120.91 X ) ), ~( =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 120.52/120.91 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 120.52/120.91 , clause( 182799, [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) )
% 120.52/120.91 , ~( =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 120.52/120.91 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 120.52/120.91 , clause( 182800, [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) )
% 120.52/120.91 , ~( =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 120.52/120.91 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 120.52/120.91 , clause( 182801, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 120.52/120.91 X ) ), =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X )
% 120.52/120.91 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 120.52/120.91 , clause( 182802, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 120.52/120.91 ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ] )
% 120.52/120.91 , clause( 182803, [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 120.52/120.91 'class_RealVector_Oreal__normed__field'( X ) ), ~( =(
% 120.52/120.91 'c_Transcendental_Oexp'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ] )
% 120.52/120.91 , clause( 182804, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 120.52/120.91 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 120.52/120.91 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 120.52/120.91 , clause( 182805, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 120.52/120.91 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y, X ), ~(
% 120.52/120.91 'c_lessequals'( Z, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 120.52/120.91 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 120.52/120.91 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 120.52/120.91 , clause( 182806, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 120.52/120.91 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X ), ~(
% 120.52/120.91 'c_lessequals'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 120.52/120.91 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 120.52/120.91 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 120.52/120.91 , clause( 182807, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 120.52/120.91 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 120.52/120.91 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 120.52/120.91 X ) ) ] )
% 120.52/120.91 , clause( 182808, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 120.52/120.91 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 120.52/120.91 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 120.52/120.91 X ) ) ] )
% 120.52/120.91 , clause( 182809, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 120.52/120.91 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 120.52/120.91 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 120.52/120.91 X ) ) ] )
% 120.52/120.91 , clause( 182810, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 120.52/120.91 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ] )
% 120.52/120.91 , clause( 182811, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 120.52/120.91 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 120.52/120.91 X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 120.52/120.91 , clause( 182812, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 120.52/120.91 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_lessequals'( Y,
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 120.52/120.91 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 120.52/120.91 X ) ) ] )
% 120.52/120.91 , clause( 182813, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 120.52/120.91 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 120.52/120.91 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 120.52/120.91 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 120.52/120.91 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 120.52/120.91 , Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 120.52/120.91 ) ] )
% 120.52/120.91 , clause( 182814, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 120.52/120.91 'c_lessequals'( 'c_Power_Opower__class_Opower'( Y,
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'(
% 120.52/120.91 X ), X ) ) ] )
% 120.52/120.91 , clause( 182815, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 120.52/120.91 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 120.52/120.91 'c_Power_Opower__class_Opower'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 120.52/120.91 , X ) ] )
% 120.52/120.91 , clause( 182816, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 120.52/120.91 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 120.52/120.91 , X ), X ) ] )
% 120.52/120.91 , clause( 182817, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 120.52/120.91 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 120.52/120.91 Z, T, X ), X ) ) ] )
% 120.52/120.91 , clause( 182818, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y
% 120.52/120.91 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'(
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ]
% 120.52/120.91 )
% 120.52/120.91 , clause( 182819, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 120.52/120.91 'class_Int_Onumber'( X ) ), ~( =( 'c_HOL_Oinverse__class_Odivide'( Y, Z,
% 120.52/120.91 X ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), =( Y,
% 120.52/120.91 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( T, X )
% 120.52/120.91 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 120.52/120.91 , clause( 182820, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 120.52/120.91 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 120.52/120.91 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 120.52/120.91 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ] )
% 120.52/120.91 , clause( 182821, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 120.52/120.91 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 120.52/120.91 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ] )
% 120.52/120.91 , clause( 182822, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 120.52/120.91 'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 120.52/120.91 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 120.52/120.91 , clause( 182823, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 120.52/120.91 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 120.52/120.91 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 120.52/120.91 , X ) ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'(
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 120.52/120.91 , clause( 182824, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 120.52/120.91 'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 120.52/120.91 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 120.52/120.91 , Z, X ), Z, X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), =( Z,
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 120.52/120.91 , clause( 182825, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 120.52/120.91 'class_Int_Onumber'( X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 120.52/120.91 , X ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y ), =(
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 120.52/120.91 ) ) ] )
% 120.52/120.91 , clause( 182826, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 120.52/120.91 'class_Int_Onumber'( X ) ), =( Y, 'c_HOL_Otimes__class_Otimes'(
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 120.52/120.91 , X ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), =(
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 120.52/120.91 ) ) ] )
% 120.52/120.91 , clause( 182827, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 120.52/120.91 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ] )
% 120.52/120.91 , clause( 182828, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 120.52/120.91 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 120.52/120.91 ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 120.52/120.91 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 120.52/120.91 ~( 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 120.52/120.91 , 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ] )
% 120.52/120.91 , clause( 182829, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 120.52/120.91 'class_Int_Onumber'( X ) ), =( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 120.52/120.91 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), Z, X ) ), =( Z,
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 120.52/120.91 , clause( 182830, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 120.52/120.91 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 120.52/120.91 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 120.52/120.91 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 120.52/120.91 Z, X ) ) ] )
% 120.52/120.91 , clause( 182831, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 120.52/120.91 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 120.52/120.91 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 120.52/120.91 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 120.52/120.91 , T, X ) ] )
% 120.52/120.91 , clause( 182832, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 120.52/120.91 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 120.52/120.91 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 120.52/120.91 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 120.52/120.91 , T, X ) ] )
% 120.52/120.91 , clause( 182833, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 120.52/120.91 ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 120.52/120.91 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ),
% 120.52/120.91 ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X
% 120.52/120.91 ), X ) ) ] )
% 120.52/120.91 , clause( 182834, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 120.52/120.91 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 120.52/120.91 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 120.52/120.91 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X
% 120.52/120.91 ), X ) ) ] )
% 120.52/120.91 , clause( 182835, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 120.52/120.91 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 120.52/120.91 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 120.52/120.91 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 120.52/120.91 , Z, X ) ] )
% 120.52/120.91 , clause( 182836, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 120.52/120.91 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 120.52/120.91 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 120.52/120.91 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 120.52/120.91 , Z, X ) ] )
% 120.52/120.91 , clause( 182837, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 120.52/120.91 ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 120.52/120.91 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 120.52/120.91 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 120.52/120.91 , Y, X ) ) ] )
% 120.52/120.91 , clause( 182838, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 120.52/120.91 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ] )
% 120.52/120.91 , clause( 182839, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 120.52/120.91 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 120.52/120.91 ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 120.52/120.91 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 120.52/120.91 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 120.52/120.91 , 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ] )
% 120.52/120.91 , clause( 182840, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 120.52/120.91 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 120.52/120.91 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 120.52/120.91 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ] )
% 120.52/120.91 , clause( 182841, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 120.52/120.91 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 120.52/120.91 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~(
% 120.52/120.91 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ] )
% 120.52/120.91 , clause( 182842, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 120.52/120.91 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 120.52/120.91 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'(
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 120.52/120.91 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ] )
% 120.52/120.91 , clause( 182843, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 120.52/120.91 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'(
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 120.52/120.91 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~(
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T,
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ] )
% 120.52/120.91 , clause( 182844, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 120.52/120.91 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 120.52/120.91 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), Z, X ),
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ] )
% 120.52/120.91 , clause( 182845, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 120.52/120.91 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 120.52/120.91 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 120.52/120.91 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 120.52/120.91 , clause( 182846, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 120.52/120.91 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 120.52/120.91 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 120.52/120.91 , clause( 182847, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 120.52/120.91 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 120.52/120.91 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 120.52/120.91 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 120.52/120.91 Y, T, X ), Z, X ) ) ] )
% 120.52/120.91 , clause( 182848, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 120.52/120.91 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 120.52/120.91 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 120.52/120.91 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 120.52/120.91 Y, T, X ), Z, X ) ) ] )
% 120.52/120.91 , clause( 182849, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 120.52/120.91 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 120.52/120.91 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 120.52/120.91 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 120.52/120.91 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ] )
% 120.52/120.91 , clause( 182850, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 120.52/120.91 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 120.52/120.91 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 120.52/120.91 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 120.52/120.91 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ] )
% 120.52/120.91 , clause( 182851, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 120.52/120.91 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 120.52/120.91 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), Z, X ) ) ] )
% 120.52/120.91 , clause( 182852, [ ~( 'class_Orderings_Oorder'( X ) ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ), =(
% 120.52/120.91 Y, Z ) ] )
% 120.52/120.91 , clause( 182853, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~(
% 120.52/120.91 'c_lessequals'( Y, Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ] )
% 120.52/120.91 , clause( 182854, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 120.52/120.91 , clause( 182855, [ ~( 'class_Orderings_Oorder'( X ) ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ), =(
% 120.52/120.91 Z, Y ) ] )
% 120.52/120.91 , clause( 182856, [ ~( 'class_Orderings_Oorder'( X ) ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Z, Y ), ~( 'c_lessequals'( Y, Z
% 120.52/120.91 , X ) ) ] )
% 120.52/120.91 , clause( 182857, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 120.52/120.91 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 120.52/120.91 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 120.52/120.91 Y, X ), X ) ) ] )
% 120.52/120.91 , clause( 182858, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 120.52/120.91 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 120.52/120.91 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 120.52/120.91 , clause( 182859, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 120.52/120.91 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 120.52/120.91 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 120.52/120.91 , clause( 182860, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 120.52/120.91 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 120.52/120.91 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 120.52/120.91 , clause( 182861, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 120.52/120.91 ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 120.52/120.91 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ) ] )
% 120.52/120.91 , clause( 182862, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 120.52/120.91 ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 120.52/120.91 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 120.52/120.91 , clause( 182863, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 120.52/120.91 ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 120.52/120.91 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 120.52/120.91 , clause( 182864, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 120.52/120.91 X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 120.52/120.91 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 120.52/120.91 , clause( 182865, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 120.52/120.91 'tc_nat' ), 'v_k', 'tc_nat' ) ] )
% 120.52/120.91 , clause( 182866, [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 120.52/120.91 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 120.52/120.91 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'( X ), X ), Y, X
% 120.52/120.91 ) ) ] )
% 120.52/120.91 , clause( 182867, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 120.52/120.91 X ) ), 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'(
% 120.52/120.91 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 120.52/120.91 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), X
% 120.52/120.91 ) ] )
% 120.52/120.91 , clause( 182868, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 120.52/120.91 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 120.52/120.91 , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 120.52/120.91 , X ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z
% 120.52/120.91 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 120.52/120.91 'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 120.52/120.91 ), X ), X ) ) ] )
% 120.52/120.91 , clause( 182869, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 120.52/120.91 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 120.52/120.91 , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 120.52/120.91 ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X
% 120.52/120.91 ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 120.52/120.91 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 120.52/120.91 ), X ), Z, X ) ) ] )
% 120.52/120.91 , clause( 182870, [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ),
% 120.52/120.91 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 120.52/120.91 , T, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'(
% 120.52/120.91 Z, T, X ), X ) ) ] )
% 120.52/120.91 , clause( 182871, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 120.52/120.91 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 120.52/120.91 , T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y,
% 120.52/120.91 T, X ), Z, X ) ) ] )
% 120.52/120.91 , clause( 182872, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 120.52/120.91 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 120.52/120.91 , T, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'(
% 120.52/120.91 Z, T, X ), X ) ) ] )
% 120.52/120.91 , clause( 182873, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 120.52/120.91 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X
% 120.52/120.91 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 120.52/120.91 , X ), T, X ) ) ] )
% 120.52/120.91 , clause( 182874, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 120.52/120.91 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X
% 120.52/120.91 ), X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y
% 120.52/120.91 , T, X ), X ) ) ] )
% 120.52/120.91 , clause( 182875, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 120.52/120.91 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X
% 120.52/120.91 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 120.52/120.91 , X ), T, X ) ) ] )
% 120.52/120.91 , clause( 182876, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 120.52/120.91 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 120.52/120.91 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'(
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ] )
% 120.52/120.91 , clause( 182877, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 120.52/120.91 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 120.52/120.91 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 120.52/120.91 , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 120.52/120.91 X ), T, X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, T,
% 120.52/120.91 X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ] )
% 120.52/120.91 , clause( 182878, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 120.52/120.91 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 120.52/120.91 X ), ~( 'c_lessequals'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 120.52/120.91 , clause( 182879, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 120.52/120.91 ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 120.52/120.91 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 120.52/120.91 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 120.52/120.91 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ] )
% 120.52/120.91 , clause( 182880, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 120.52/120.91 ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 120.52/120.91 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 120.52/120.91 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 120.52/120.91 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ] )
% 120.52/120.91 , clause( 182881, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 120.52/120.91 ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 120.52/120.91 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 120.52/120.91 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 120.52/120.91 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ] )
% 120.52/120.91 , clause( 182882, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 120.52/120.91 ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 120.52/120.91 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 120.52/120.91 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 120.52/120.91 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ] )
% 120.52/120.91 , clause( 182883, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 120.52/120.91 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 120.52/120.91 Z, X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y,
% 120.52/120.91 Z, X ), X ) ) ] )
% 120.52/120.91 , clause( 182884, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 120.52/120.91 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 120.52/120.91 Z, X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y,
% 120.52/120.91 Z, X ), X ) ) ] )
% 120.52/120.91 , clause( 182885, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 120.52/120.91 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X
% 120.52/120.91 ), X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y
% 120.52/120.91 , Z, X ), X ) ) ] )
% 120.52/120.91 , clause( 182886, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 120.52/120.91 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X
% 120.52/120.91 ), X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y
% 120.52/120.91 , Z, X ), X ) ) ] )
% 120.52/120.91 , clause( 182887, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =(
% 120.52/120.91 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 120.52/120.91 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 120.52/120.91 Y, Y, X ) ) ] )
% 120.52/120.91 , clause( 182888, [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 120.52/120.91 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 120.52/120.91 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 120.52/120.91 Y, Z, X ) ) ] )
% 120.52/120.91 , clause( 182889, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) )
% 120.52/120.91 , 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 120.52/120.91 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( Z, U, X ) )
% 120.52/120.91 , ~( 'c_lessequals'( Y, T, X ) ) ] )
% 120.52/120.91 , clause( 182890, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) )
% 120.52/120.91 , 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 120.52/120.91 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Z, U, X ) )
% 120.52/120.91 , ~( 'c_lessequals'( Y, T, X ) ) ] )
% 120.52/120.91 , clause( 182891, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 120.52/120.91 ), 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 120.52/120.91 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 120.52/120.91 , clause( 182892, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 120.52/120.91 ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y
% 120.52/120.91 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 120.52/120.91 X ), 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ] )
% 120.52/120.91 , clause( 182893, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 120.52/120.91 ), 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 120.52/120.91 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ] )
% 120.52/120.91 , clause( 182894, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 120.52/120.91 ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y
% 120.52/120.91 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, T,
% 120.52/120.91 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 120.52/120.91 , clause( 182895, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), ~(
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 120.52/120.91 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ] )
% 120.52/120.91 , clause( 182896, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 120.52/120.91 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 120.52/120.91 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 120.52/120.91 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'(
% 120.52/120.91 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 120.52/120.91 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 120.52/120.91 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), X ) ), =( Z,
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 120.52/120.91 ) ] )
% 120.52/120.91 , clause( 182897, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 120.52/120.91 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 120.52/120.91 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 120.52/120.91 Z, X ), X ) ) ] )
% 120.52/120.91 , clause( 182898, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 120.52/120.91 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 120.52/120.91 Z, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ] )
% 120.52/120.91 , clause( 182899, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 120.52/120.91 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 120.52/120.91 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 120.52/120.91 , X ), Z, X ) ) ] )
% 120.52/120.91 , clause( 182900, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 120.52/120.91 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 120.52/120.91 , X ), Z, X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ] )
% 120.52/120.91 , clause( 182901, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 120.52/120.91 X ) ), 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 120.52/120.91 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~(
% 120.52/120.91 'c_lessequals'( Y, Z, X ) ) ] )
% 120.52/120.91 , clause( 182902, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 120.52/120.91 X ) ), 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 120.52/120.91 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~(
% 120.52/120.91 'c_lessequals'( Y, Z, X ) ) ] )
% 120.52/120.91 , clause( 182903, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 120.52/120.91 X ) ), =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ouminus__class_Ouminus'( Y, X
% 120.52/120.91 ), X ), 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ] )
% 120.52/120.91 , clause( 182904, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 120.52/120.91 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X )
% 120.52/120.91 , 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 120.52/120.91 , clause( 182905, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 120.52/120.91 ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 120.52/120.91 , clause( 182906, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 120.52/120.91 ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 120.52/120.91 , clause( 182907, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 120.52/120.91 X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 120.52/120.91 , clause( 182908, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 120.52/120.91 X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 120.52/120.91 , clause( 182909, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 120.52/120.91 X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 120.52/120.91 , clause( 182910, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 120.52/120.91 X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 120.52/120.91 , clause( 182911, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 120.52/120.91 X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 120.52/120.91 , clause( 182912, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 120.52/120.91 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 120.52/120.91 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y
% 120.52/120.91 , X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ] )
% 120.52/120.91 , clause( 182913, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 120.52/120.91 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 120.52/120.91 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Z
% 120.52/120.91 , X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ), =( Z,
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 120.52/120.91 ) ] )
% 120.52/120.91 , clause( 182914, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 120.52/120.91 X ) ), 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'(
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 120.52/120.91 ) ] )
% 120.52/120.91 , clause( 182915, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 120.52/120.91 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 120.52/120.91 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 120.52/120.91 , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 120.52/120.91 X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( Y, T, X ),
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ] )
% 120.52/120.91 , clause( 182916, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 120.52/120.91 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 120.52/120.91 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ] )
% 120.52/120.91 , clause( 182917, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 120.52/120.91 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 120.52/120.91 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 120.52/120.91 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T,
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ), ~(
% 120.52/120.91 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ] )
% 120.52/120.91 , clause( 182918, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 120.52/120.91 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 120.52/120.91 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 120.52/120.91 ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ), ~( 'c_lessequals'(
% 120.52/120.91 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 120.52/120.91 ), X ), Z, X ) ) ] )
% 120.52/120.91 , clause( 182919, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 120.52/120.91 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ] )
% 120.52/120.91 , clause( 182920, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 120.52/120.91 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ] )
% 120.52/120.91 , clause( 182921, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 120.52/120.91 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ] )
% 120.52/120.91 , clause( 182922, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 120.52/120.91 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ] )
% 120.52/120.91 , clause( 182923, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 120.52/120.91 ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 120.52/120.91 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 120.52/120.91 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 120.52/120.91 , clause( 182924, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 120.52/120.91 ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 120.52/120.91 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_lessequals'( Y,
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 120.52/120.91 , clause( 182925, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 120.52/120.91 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 120.52/120.91 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 120.52/120.91 ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 120.52/120.91 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~(
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T,
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ] )
% 120.52/120.91 , clause( 182926, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 120.52/120.91 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 120.52/120.91 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 120.52/120.91 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T
% 120.52/120.91 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ] )
% 120.52/120.91 , clause( 182927, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 120.52/120.91 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 120.52/120.91 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 120.52/120.91 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 120.52/120.91 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 120.52/120.91 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oinverse__class_Odivide'( Y,
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ) ] )
% 120.52/120.91 , clause( 182928, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 120.52/120.91 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 120.52/120.91 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 120.52/120.91 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'(
% 120.52/120.91 Y, 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ] )
% 120.52/120.91 , clause( 182929, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =(
% 120.52/120.91 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 120.52/120.91 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 120.52/120.91 , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 120.52/120.91 , clause( 182930, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), =( Y
% 120.52/120.91 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 120.52/120.91 , X ) ) ] )
% 120.52/120.91 , clause( 182931, [ ~( 'c_HOL_Oord__class_Oless'( X,
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ] )
% 120.52/120.91 , clause( 182932, [ ~( 'c_HOL_Oord__class_Oless'( X,
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ] )
% 120.52/120.91 , clause( 182933, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 120.52/120.91 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 120.52/120.91 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ] )
% 120.52/120.91 , clause( 182934, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 120.52/120.91 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 120.52/120.91 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ] )
% 120.52/120.91 , clause( 182935, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 120.52/120.91 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 120.52/120.91 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ] )
% 120.52/120.91 , clause( 182936, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 120.52/120.91 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 120.52/120.91 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 120.52/120.91 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ] )
% 120.52/120.91 , clause( 182937, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 120.52/120.91 , X ) ) ] )
% 120.52/120.91 , clause( 182938, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 120.52/120.91 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 120.52/120.91 , clause( 182939, [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~(
% 120.52/120.91 'class_Int_Onumber'( X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 120.52/120.91 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( T, X ), X ),
% 120.52/120.91 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y,
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( T, X ), X ),
% 120.52/120.91 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 120.52/120.91 ), X ), X ) ) ] )
% 120.52/120.91 , clause( 182940, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 120.52/120.91 ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 120.52/120.91 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 120.52/120.91 , clause( 182941, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 120.52/120.91 ), 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 120.52/120.91 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 120.52/120.91 , clause( 182942, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 120.52/120.91 ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 120.52/120.91 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ] )
% 120.52/120.91 , clause( 182943, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X )
% 120.52/120.91 ), 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 120.52/120.91 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 120.52/120.91 , clause( 182944, [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) )
% 120.52/120.91 , 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 120.52/120.91 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 120.52/120.91 , clause( 182945, [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) )
% 120.52/120.91 , 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 120.52/120.91 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 120.52/120.91 , clause( 182946, [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) )
% 120.52/120.91 , 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 120.52/120.91 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ] )
% 120.52/120.91 , clause( 182947, [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) )
% 120.52/120.91 , 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 120.52/120.91 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 120.52/120.91 , clause( 182948, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 120.52/120.91 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 120.52/120.91 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 120.52/120.91 'c_Ring__and__Field_Odvd__class_Odvd'( Z, T, X ) ) ] )
% 120.52/120.91 , clause( 182949, [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 120.52/120.91 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 120.52/120.91 , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 120.52/120.91 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ] )
% 120.52/120.91 , clause( 182950, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 120.52/120.91 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 120.52/120.91 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 120.52/120.91 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~(
% 120.52/120.91 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'(
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ] )
% 120.52/120.91 , clause( 182951, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 120.52/120.91 X ) ), =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X )
% 120.52/120.91 , 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ] )
% 120.52/120.91 , clause( 182952, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 120.52/120.91 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 120.52/120.91 X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ), =(
% 120.52/120.91 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 120.52/120.91 , T, X ), Z ), =( T, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 120.52/120.91 , clause( 182953, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 120.52/120.91 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 120.52/120.91 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 120.52/120.91 , clause( 182954, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 120.52/120.91 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 120.52/120.91 , clause( 182955, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 120.52/120.91 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 120.52/120.91 , clause( 182956, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 120.52/120.91 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 120.52/120.91 X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 120.52/120.91 X ), T, X ) ) ] )
% 120.52/120.91 , clause( 182957, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 120.52/120.91 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 120.52/120.91 Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 120.52/120.91 X ), Z, X ) ) ] )
% 120.52/120.91 , clause( 182958, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 120.52/120.91 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 120.52/120.91 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 120.52/120.91 X ), Z, X ) ) ] )
% 120.52/120.91 , clause( 182959, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 120.52/120.91 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 120.52/120.91 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 120.52/120.91 Z, X ), X ) ) ] )
% 120.52/120.91 , clause( 182960, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 120.52/120.91 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z,
% 120.52/120.91 X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 120.52/120.91 Z, X ), X ) ) ] )
% 120.52/120.91 , clause( 182961, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 120.52/120.91 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 120.52/120.91 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, T,
% 120.52/120.91 X ), Z, X ) ) ] )
% 120.52/120.91 , clause( 182962, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 120.52/120.91 'class_Int_Onumber'( X ) ), =( Y, 'c_HOL_Oinverse__class_Odivide'(
% 120.52/120.91 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 120.52/120.91 ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), =(
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 120.52/120.91 ) ) ] )
% 120.52/120.91 , clause( 182963, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 120.52/120.91 'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 120.52/120.91 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 120.52/120.91 ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y ), =(
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 120.52/120.91 ) ) ] )
% 120.52/120.91 , clause( 182964, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 120.52/120.91 , 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 120.52/120.91 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X
% 120.52/120.91 ) ) ] )
% 120.52/120.91 , clause( 182965, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 120.52/120.91 'class_Int_Onumber'( X ) ), =( 'c_HOL_Ozero__class_Ozero'( X ),
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 120.52/120.91 ), X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ] )
% 120.52/120.91 , clause( 182966, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~(
% 120.52/120.91 'c_HOL_Oord__class_Oless'( U, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), U, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 120.52/120.91 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 120.52/120.91 ] )
% 120.52/120.91 , clause( 182967, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 120.52/120.91 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~( 'c_lessequals'(
% 120.52/120.91 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ] )
% 120.52/120.91 , clause( 182968, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ] )
% 120.52/120.91 , clause( 182969, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( Z,
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( Y,
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ] )
% 120.52/120.91 , clause( 182970, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 120.52/120.91 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~( 'c_lessequals'( Y,
% 120.52/120.91 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ] )
% 120.52/120.91 , clause( 182971, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ] )
% 120.52/120.91 , clause( 182972, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'( Z,
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ] )
% 120.52/120.91 , clause( 182973, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 120.52/120.91 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 120.52/120.91 'c_HOL_Oone__class_Oone'( X ) ) ] )
% 120.52/120.91 , clause( 182974, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 120.52/120.91 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 120.52/120.91 'c_HOL_Oone__class_Oone'( X ) ) ] )
% 120.52/120.91 , clause( 182975, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 120.52/120.91 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 120.52/120.91 'c_HOL_Oone__class_Oone'( X ) ) ] )
% 120.52/120.91 , clause( 182976, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 120.52/120.91 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oone__class_Oone'( X ), Y,
% 120.52/120.91 X ) ] )
% 120.52/120.91 , clause( 182977, [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 120.52/120.91 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 120.52/120.91 ] )
% 120.52/120.91 , clause( 182978, [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 120.52/120.91 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 120.52/120.91 ] )
% 120.52/120.91 , clause( 182979, [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 120.52/120.91 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 120.52/120.91 ] )
% 120.52/120.91 , clause( 182980, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 120.52/120.91 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y
% 120.52/120.91 ) ] )
% 120.52/120.91 , clause( 182981, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 120.52/120.91 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y
% 120.52/120.91 ) ] )
% 120.52/120.91 , clause( 182982, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 120.52/120.91 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y
% 120.52/120.91 ) ] )
% 120.52/120.91 , clause( 182983, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 120.52/120.91 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 120.52/120.91 ), =( Y, 'c_HOL_Oone__class_Oone'( X ) ) ] )
% 120.52/120.91 , clause( 182984, [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 120.52/120.91 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 120.52/120.91 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), T, X ),
% 120.52/120.91 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'(
% 120.52/120.91 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 120.52/120.91 , T, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), X ) ), =( Z
% 120.52/120.91 , 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 120.52/120.91 ) ) ] )
% 120.52/120.91 , clause( 182985, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 120.52/120.91 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 120.52/120.91 'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ), ~(
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ] )
% 120.52/120.91 , clause( 182986, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 120.52/120.91 'c_Power_Opower__class_Opower'( T, Y, X ), 'c_Power_Opower__class_Opower'(
% 120.52/120.91 T, Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 120.52/120.91 X ), T, X ) ) ] )
% 120.52/120.91 , clause( 182987, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 120.52/120.91 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), ~(
% 120.52/120.91 'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ) ] )
% 120.52/120.91 , clause( 182988, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 120.52/120.91 'c_Power_Opower__class_Opower'( T, Y, X ), 'c_Power_Opower__class_Opower'(
% 120.52/120.91 T, Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 120.52/120.91 X ), T, X ) ) ] )
% 120.52/120.91 , clause( 182989, [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), =(
% 120.52/120.91 'c_Power_Opower__class_Opower'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z
% 120.52/120.91 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'(
% 120.52/120.91 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'( X ), X ), Z, X
% 120.52/120.91 ), 'c_Power_Opower__class_Opower'( Y, Z, X ), X ) ) ] )
% 120.52/120.91 , clause( 182990, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 120.52/120.91 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 120.52/120.91 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 120.52/120.91 , Y, X ) ) ] )
% 120.52/120.91 , clause( 182991, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 120.52/120.91 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 120.52/120.91 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 120.52/120.91 , Y, X ) ) ] )
% 120.52/120.91 , clause( 182992, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 120.52/120.91 'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Oinverse'(
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ),
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ] )
% 120.52/120.91 , clause( 182993, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 120.52/120.91 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 120.52/120.91 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 120.52/120.91 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 120.52/120.91 X ) ) ] )
% 120.52/120.91 , clause( 182994, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 120.52/120.91 X ) ), =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 120.52/120.91 ), X ), 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Z, Y, X
% 120.52/120.91 ), X ) ) ] )
% 120.52/120.91 , clause( 182995, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 120.52/120.91 ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 120.52/120.91 'c_HOL_Ominus__class_Ominus'( T, U, X ) ) ), 'c_lessequals'( U, T, X ),
% 120.52/120.91 ~( 'c_lessequals'( Z, Y, X ) ) ] )
% 120.52/120.91 , clause( 182996, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 120.52/120.91 ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 120.52/120.91 'c_HOL_Ominus__class_Ominus'( T, U, X ) ) ), 'c_lessequals'( Z, Y, X ),
% 120.52/120.91 ~( 'c_lessequals'( U, T, X ) ) ] )
% 120.52/120.91 , clause( 182997, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 120.52/120.91 ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 120.52/120.91 'c_HOL_Ominus__class_Ominus'( T, U, X ) ) ), 'c_HOL_Oord__class_Oless'( T
% 120.52/120.91 , U, X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 120.52/120.91 , clause( 182998, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 120.52/120.91 ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 120.52/120.91 'c_HOL_Ominus__class_Ominus'( T, U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y
% 120.52/120.91 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( T, U, X ) ) ] )
% 120.52/120.91 , clause( 182999, [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 120.52/120.91 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 120.52/120.91 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 120.52/120.91 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ] )
% 120.52/120.91 , clause( 183000, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 120.52/120.91 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X
% 120.52/120.91 ), X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 120.52/120.91 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 120.52/120.91 , clause( 183001, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 120.52/120.91 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X
% 120.52/120.91 ), X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 120.52/120.91 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 120.52/120.91 , clause( 183002, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 120.52/120.91 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 120.52/120.91 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y,
% 120.52/120.91 T, X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 120.52/120.91 , clause( 183003, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 120.52/120.91 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 120.52/120.91 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y,
% 120.52/120.91 T, X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 120.52/120.91 , clause( 183004, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 120.52/120.91 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 120.52/120.91 X ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ) ] )
% 120.52/120.91 , clause( 183005, [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 120.52/120.91 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 120.52/120.91 Y, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'(
% 120.52/120.91 Y, Z, X ), X ) ) ] )
% 120.52/120.91 , clause( 183006, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 120.52/120.91 'c_HOL_Oinverse__class_Oinverse'( 'c_Power_Opower__class_Opower'( Y, Z, X
% 120.52/120.91 ), X ), 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'(
% 120.52/120.91 Y, X ), Z, X ) ) ] )
% 120.52/120.91 , clause( 183007, [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 120.52/120.91 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 120.52/120.91 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 120.52/120.91 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ] )
% 120.52/120.91 , clause( 183008, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 120.52/120.91 =( 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 120.52/120.91 ), T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'(
% 120.52/120.91 Y, T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ] )
% 120.52/120.91 , clause( 183009, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 120.52/120.91 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'( Y, Z, X ), X )
% 120.52/120.91 , 'c_Power_Opower__class_Opower'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X
% 120.52/120.91 ) ) ] )
% 120.52/120.91 , clause( 183010, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 120.52/120.91 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Power_Opower__class_Opower'( Y
% 120.52/120.91 , Z, X ), 'c_Power_Opower__class_Opower'( T, Z, X ), X ), ~(
% 120.52/120.91 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ] )
% 120.52/120.91 , clause( 183011, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 120.52/120.91 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 120.52/120.91 ), X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'(
% 120.52/120.91 Y, X ), Z, X ) ) ] )
% 120.52/120.91 , clause( 183012, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 120.52/120.91 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 120.52/120.91 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 120.52/120.91 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ] )
% 120.52/120.91 , clause( 183013, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 120.52/120.91 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Odivide'( Y, Z,
% 120.52/120.91 X ), X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ) ) ] )
% 120.52/120.91 , clause( 183014, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 120.52/120.91 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 120.52/120.91 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, T, X )
% 120.52/120.91 , 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ] )
% 120.52/120.91 , clause( 183015, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 120.52/120.91 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ] )
% 120.52/120.91 , clause( 183016, [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 120.52/120.91 Z, X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 120.52/120.91 Y, Z, X ), X ) ) ] )
% 120.52/120.91 , clause( 183017, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 120.52/120.91 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 120.52/120.91 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 120.52/120.91 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ] )
% 120.52/120.91 , clause( 183018, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 120.52/120.91 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 120.52/120.91 , T, X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 120.52/120.91 Y, T, X ), Z, X ) ) ] )
% 120.52/120.91 , clause( 183019, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 120.52/120.91 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 120.52/120.91 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 120.52/120.91 'c_HOL_Oord__class_Oless'( T, Z, 'tc_nat' ) ) ] )
% 120.52/120.91 , clause( 183020, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 120.52/120.91 'c_Power_Opower__class_Opower'( Y, Z, X ), X ),
% 120.52/120.91 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 120.52/120.91 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 120.52/120.91 , clause( 183021, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 120.52/120.91 'c_HOL_Oone__class_Oone'( X ), X ) ] )
% 120.52/120.91 , clause( 183022, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 120.52/120.91 ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ),
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 120.52/120.91 , clause( 183023, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 120.52/120.91 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'(
% 120.52/120.91 X ), X ) ] )
% 120.52/120.91 , clause( 183024, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 120.52/120.91 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 120.52/120.91 , clause( 183025, [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 120.52/120.91 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 120.52/120.91 'c_Transcendental_Oexp'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 120.52/120.91 'c_HOL_Oone__class_Oone'( X ) ) ] )
% 120.52/120.91 , clause( 183026, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 120.52/120.91 ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 120.52/120.91 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 120.52/120.91 , X ) ) ] )
% 120.52/120.91 , clause( 183027, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 120.52/120.91 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 120.52/120.91 , X ) ) ] )
% 120.52/120.91 , clause( 183028, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 120.52/120.91 ), 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 120.52/120.91 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 120.52/120.91 , X ) ) ] )
% 120.52/120.91 , clause( 183029, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 120.52/120.91 ), 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 120.52/120.91 , clause( 183030, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 120.52/120.91 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 120.52/120.91 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ] )
% 120.52/120.91 , clause( 183031, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 120.52/120.91 'c_HOL_Oinverse__class_Oinverse'( 'c_Power_Opower__class_Opower'( Y, Z, X
% 120.52/120.91 ), X ), 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'(
% 120.52/120.91 Y, X ), Z, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 120.52/120.91 , clause( 183032, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 120.52/120.91 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 120.52/120.91 , clause( 183033, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 120.52/120.91 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 120.52/120.91 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 120.52/120.91 , clause( 183034, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 120.52/120.91 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 120.52/120.91 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 120.52/120.91 , clause( 183035, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 120.52/120.91 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 120.52/120.91 ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ] )
% 120.52/120.91 , clause( 183036, [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 120.52/120.91 ), =( 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 120.52/120.91 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ] )
% 120.52/120.91 , clause( 183037, [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 120.52/120.91 ), ~( =( 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'(
% 120.52/120.91 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ] )
% 120.52/120.91 , clause( 183038, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 120.52/120.91 'c_lessequals'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 120.52/120.91 'c_Power_Opower__class_Opower'( T, Z, X ), X ), ~( 'c_lessequals'(
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 120.52/120.91 ] )
% 120.52/120.91 , clause( 183039, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 120.52/120.91 , clause( 183040, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y
% 120.52/120.91 , 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_lessequals'( Y,
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 120.52/120.91 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 120.52/120.91 ), X ) ) ] )
% 120.52/120.91 , clause( 183041, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y, X ),
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 120.52/120.91 , clause( 183042, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 120.52/120.91 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 120.52/120.91 , U, X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( U,
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 120.52/120.91 , U, X ), 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ] )
% 120.52/120.91 , clause( 183043, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), =( U,
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 120.52/120.91 ), =( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 120.52/120.91 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ] )
% 120.52/120.91 , clause( 183044, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 120.52/120.91 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 120.52/120.91 , clause( 183045, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 120.52/120.91 , clause( 183046, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 120.52/120.91 , clause( 183047, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 120.52/120.91 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 120.52/120.91 , clause( 183048, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 120.52/120.91 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 120.52/120.91 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( Y
% 120.52/120.91 , X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 120.52/120.91 , clause( 183049, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 120.52/120.91 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 120.52/120.91 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 120.52/120.91 , clause( 183050, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 120.52/120.91 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 120.52/120.91 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 120.52/120.91 , clause( 183051, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 120.52/120.91 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 120.52/120.91 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 120.52/120.91 , clause( 183052, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 120.52/120.91 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 120.52/120.91 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 120.52/120.91 X ) ) ] )
% 120.52/120.91 , clause( 183053, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 120.52/120.91 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 120.52/120.91 Y, 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), T, X ), ~(
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 120.52/120.91 ), X ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T,
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ] )
% 120.52/120.91 , clause( 183054, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 120.52/120.91 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 120.52/120.91 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 120.52/120.91 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T,
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ] )
% 120.52/120.91 , clause( 183055, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 120.52/120.91 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 120.52/120.91 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 120.52/120.91 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 120.52/120.91 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'( Z,
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( T
% 120.52/120.91 , X ), X ), X ) ) ] )
% 120.52/120.91 , clause( 183056, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 120.52/120.91 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 120.52/120.91 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 120.52/120.91 ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ] )
% 120.52/120.91 , clause( 183057, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 120.52/120.91 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ] )
% 120.52/120.91 , clause( 183058, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 120.52/120.91 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 120.52/120.91 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ] )
% 120.52/120.91 , clause( 183059, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 120.52/120.91 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 120.52/120.91 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 120.52/120.91 'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 120.52/120.91 ), X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 120.52/120.91 X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ] )
% 120.52/120.91 , clause( 183060, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 120.52/120.91 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 120.52/120.91 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 120.52/120.91 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 120.52/120.91 ), X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 120.52/120.91 ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ] )
% 120.52/120.91 , clause( 183061, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 120.52/120.91 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~(
% 120.52/120.91 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ] )
% 120.52/120.91 , clause( 183062, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 120.52/120.91 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 120.52/120.91 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 120.52/120.91 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ] )
% 120.52/120.91 , clause( 183063, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 120.52/120.91 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 120.52/120.91 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 120.52/120.91 'c_lessequals'( Z, Y, X ) ) ] )
% 120.52/120.91 , clause( 183064, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 120.52/120.91 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 120.52/120.91 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 120.52/120.91 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ] )
% 120.52/120.91 , clause( 183065, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 120.52/120.91 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 120.52/120.91 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 120.52/120.91 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 120.52/120.91 'c_lessequals'( Z, Y, X ) ) ] )
% 120.52/120.91 , clause( 183066, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 120.52/120.91 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 120.52/120.91 X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ] )
% 120.52/120.91 , clause( 183067, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 120.52/120.91 X ) ), 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 120.52/120.91 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ] )
% 120.52/120.91 , clause( 183068, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 120.52/120.91 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 120.52/120.91 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 120.52/120.91 , T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 120.52/120.91 ), T, X ) ] )
% 120.52/120.91 , clause( 183069, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 120.52/120.91 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 120.52/120.91 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 120.52/120.91 , T, X ), Z, X ) ) ] )
% 120.52/120.91 , clause( 183070, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 120.52/120.91 X ) ), 'c_lessequals'( Y, 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ] )
% 120.52/120.91 , clause( 183071, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 120.52/120.91 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 120.52/120.91 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 120.52/120.91 , T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 120.52/120.91 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 120.52/120.91 , T, X ), Z, X ) ) ] )
% 120.52/120.91 , clause( 183072, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 120.52/120.91 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ] )
% 120.52/120.91 , clause( 183073, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 120.52/120.91 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 120.52/120.91 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'( Y, Y
% 120.52/120.91 , X ) ) ] )
% 120.52/120.91 , clause( 183074, [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 120.52/120.91 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 120.52/120.91 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 120.52/120.91 Y, X ), X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 120.52/120.91 , clause( 183075, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 120.52/120.91 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 120.52/120.91 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 120.52/120.91 , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ] )
% 120.52/120.91 , clause( 183076, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 120.52/120.91 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 120.52/120.91 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 120.52/120.91 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'(
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ] )
% 120.52/120.91 , clause( 183077, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 120.52/120.91 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 120.52/120.91 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 120.52/120.91 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'(
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ), ~(
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ] )
% 120.52/120.91 , clause( 183078, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 120.52/120.91 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 120.52/120.91 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 120.52/120.91 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'(
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ] )
% 120.52/120.91 , clause( 183079, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 120.52/120.91 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 120.52/120.91 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 120.52/120.91 , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_lessequals'(
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ] )
% 120.52/120.91 , clause( 183080, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 120.52/120.91 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'(
% 120.52/120.91 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ),
% 120.52/120.91 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'( Y, Z, X ), X )
% 120.52/120.91 ) ] )
% 120.52/120.91 , clause( 183081, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 120.52/120.91 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ),
% 120.52/120.91 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) )
% 120.52/120.91 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 120.52/120.91 , clause( 183082, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 120.52/120.91 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'(
% 120.52/120.91 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 120.52/120.91 X ) ) ] )
% 120.52/120.91 , clause( 183083, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 120.52/120.91 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 120.52/120.91 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 120.52/120.91 Z, X ) ) ] )
% 120.52/120.91 , clause( 183084, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 120.52/120.91 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 120.52/120.91 Z, X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ] )
% 120.52/120.91 , clause( 183085, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 120.52/120.91 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 120.52/120.91 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oabs__class_Oabs'( Z, X
% 120.52/120.91 ), X ) ) ] )
% 120.52/120.91 , clause( 183086, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 120.52/120.91 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oabs__class_Oabs'( Z, X
% 120.52/120.91 ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ] )
% 120.52/120.91 , clause( 183087, [ ~( 'class_Orderings_Oorder'( X ) ), ~(
% 120.52/120.91 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 120.52/120.91 , clause( 183088, [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ] )
% 120.52/120.91 , clause( 183089, [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ] )
% 120.52/120.91 , clause( 183090, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 120.52/120.91 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 120.52/120.91 , clause( 183091, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 120.52/120.91 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 120.52/120.91 , clause( 183092, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_lessequals'( Z, Y, X ), ~(
% 120.52/120.91 'c_lessequals'( Y, Z, X ) ) ] )
% 120.52/120.91 , clause( 183093, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 120.52/120.91 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oabs__class_Oabs'(
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), 'c_HOL_Oord__class_Oless'(
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 120.52/120.91 ), X ) ] )
% 120.52/120.91 , clause( 183094, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 120.52/120.91 , clause( 183095, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 120.52/120.91 , clause( 183096, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 120.52/120.91 , clause( 183097, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y,
% 120.52/120.91 Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 120.52/120.91 , clause( 183098, [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'(
% 120.52/120.91 Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 120.52/120.91 , clause( 183099, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 120.52/120.91 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 120.52/120.91 , clause( 183100, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 120.52/120.91 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 120.52/120.91 , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 120.52/120.91 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ] )
% 120.52/120.91 , clause( 183101, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 120.52/120.91 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 120.52/120.91 , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 120.52/120.91 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 120.52/120.91 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 120.52/120.91 )
% 120.52/120.91 , clause( 183102, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 120.52/120.91 'class_Int_Onumber'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'(
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ] )
% 120.52/120.91 , clause( 183103, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 120.52/120.91 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ] )
% 120.52/120.91 , clause( 183104, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 120.52/120.91 'tc_nat' ), X, 'tc_nat' ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 120.52/120.91 ] )
% 120.52/120.91 , clause( 183105, [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 120.52/120.91 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 120.52/120.91 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 120.52/120.91 X ), X ) ) ] )
% 120.52/120.91 , clause( 183106, [ ~( 'c_HOL_Oord__class_Oless'(
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 120.52/120.91 'tc_nat' ), 'tc_nat' ) ) ] )
% 120.52/120.91 , clause( 183107, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'(
% 120.52/120.91 Y, 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ] )
% 120.52/120.91 , clause( 183108, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 120.52/120.91 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 120.52/120.91 Z, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'(
% 120.52/120.91 Z, X ), X ) ) ] )
% 120.52/120.91 , clause( 183109, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 120.52/120.91 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 120.52/120.91 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), X ) ] )
% 120.52/120.91 , clause( 183110, [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =(
% 120.52/120.91 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), X ) ] )
% 120.52/120.91 , clause( 183111, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 120.52/120.91 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 120.52/120.91 ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'(
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ), ~(
% 120.52/120.91 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ] )
% 120.52/120.91 , clause( 183112, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 120.52/120.91 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 120.52/120.91 ), X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X )
% 120.52/120.91 , X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 120.52/120.91 ] )
% 120.52/120.91 , clause( 183113, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 120.52/120.91 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 120.52/120.91 ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 120.52/120.91 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 120.52/120.91 ~( 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ] )
% 120.52/120.91 , clause( 183114, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 120.52/120.91 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 120.52/120.91 , X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 120.52/120.91 'c_Ring__and__Field_Odvd__class_Odvd'( Z, U, X ) ), ~(
% 120.52/120.91 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ] )
% 120.52/120.91 , clause( 183115, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 120.52/120.91 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 120.52/120.91 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 120.52/120.91 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ] )
% 120.52/120.91 , clause( 183116, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 120.52/120.91 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 120.52/120.91 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ] )
% 120.52/120.91 , clause( 183117, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 120.52/120.91 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 120.52/120.91 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~(
% 120.52/120.91 'c_lessequals'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ] )
% 120.52/120.91 , clause( 183118, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 120.52/120.91 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 120.52/120.91 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ] )
% 120.52/120.91 , clause( 183119, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 120.52/120.91 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 120.52/120.91 , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 120.52/120.91 , X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T,
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ] )
% 120.52/120.91 , clause( 183120, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 120.52/120.91 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 120.52/120.91 , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 120.52/120.91 ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ] )
% 120.52/120.91 , clause( 183121, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 120.52/120.91 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 120.52/120.91 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ) ]
% 120.52/120.91 )
% 120.52/120.91 , clause( 183122, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 120.52/120.91 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Power_Opower__class_Opower'(
% 120.52/120.91 Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 120.52/120.91 'tc_nat' ), Z, 'tc_nat' ) ) ] )
% 120.52/120.91 , clause( 183123, [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'(
% 120.52/120.91 Y, Y, X ) ] )
% 120.52/120.91 , clause( 183124, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y,
% 120.52/120.91 Y, X ) ] )
% 120.52/120.91 , clause( 183125, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( T, Z
% 120.52/120.91 , X ) ), ~( 'c_lessequals'( Y, T, X ) ) ] )
% 120.52/120.91 , clause( 183126, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( T, Z, X ) ), ~(
% 120.52/120.91 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 120.52/120.91 , clause( 183127, [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'(
% 120.52/120.91 Y, Z, X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 120.52/120.91 ] )
% 120.52/120.91 , clause( 183128, [ ~( 'class_Orderings_Oorder'( X ) ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 120.52/120.91 , X ) ), ~( 'c_lessequals'( T, Z, X ) ) ] )
% 120.52/120.91 , clause( 183129, [ ~( 'class_Orderings_Oorder'( X ) ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, T, X ) ), ~(
% 120.52/120.91 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ] )
% 120.52/120.91 , clause( 183130, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y,
% 120.52/120.91 Z, X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ]
% 120.52/120.91 )
% 120.52/120.91 , clause( 183131, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 120.52/120.91 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 120.52/120.91 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ] )
% 120.52/120.91 , clause( 183132, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 120.52/120.91 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 120.52/120.91 ), X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 120.52/120.91 , X ), ~( 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'(
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ] )
% 120.52/120.91 , clause( 183133, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 120.52/120.91 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 120.52/120.91 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ] )
% 120.52/120.91 , clause( 183134, [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 120.52/120.91 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 120.52/120.91 'c_Transcendental_Oexp'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 120.52/120.91 'c_HOL_Oinverse__class_Oinverse'( 'c_Transcendental_Oexp'( Y, X ), X ) )
% 120.52/120.91 ] )
% 120.52/120.91 , clause( 183135, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 120.52/120.91 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 120.52/120.91 , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 120.52/120.91 , X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T,
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ), ~(
% 120.52/120.91 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ] )
% 120.52/120.91 , clause( 183136, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 120.52/120.91 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 120.52/120.91 , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 120.52/120.91 ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ), ~( 'c_lessequals'(
% 120.52/120.91 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 120.52/120.91 ), X ), Z, X ) ) ] )
% 120.52/120.91 , clause( 183137, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 120.52/120.91 ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 120.52/120.91 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 120.52/120.91 , Y, X ), X ) ) ] )
% 120.52/120.91 , clause( 183138, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 120.52/120.91 ), 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 120.52/120.91 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 120.52/120.91 , T, X ), X ) ) ] )
% 120.52/120.91 , clause( 183139, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 120.52/120.91 ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 120.52/120.91 'c_HOL_Otimes__class_Otimes'( Z, T, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 120.52/120.91 , T, X ), X ) ) ] )
% 120.52/120.91 , clause( 183140, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 120.52/120.91 ), 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 120.52/120.91 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 120.52/120.91 , Y, X ), X ) ) ] )
% 120.52/120.91 , clause( 183141, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 120.52/120.91 ), 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 120.52/120.91 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 120.52/120.91 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 120.52/120.91 , clause( 183142, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X )
% 120.52/120.91 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 120.52/120.91 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 120.52/120.91 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 120.52/120.91 , clause( 183143, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 120.52/120.91 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 120.52/120.91 ) ] )
% 120.52/120.91 , clause( 183144, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 120.52/120.91 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 120.52/120.91 ] )
% 120.52/120.91 , clause( 183145, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 120.52/120.91 X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 120.52/120.91 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ] )
% 120.52/120.91 , clause( 183146, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 120.52/120.91 =( 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ) ) )
% 120.52/120.91 , 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ] )
% 120.52/120.91 , clause( 183147, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 120.52/120.91 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 120.52/120.91 Y, X ) ) ] )
% 120.52/120.91 , clause( 183148, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 120.52/120.91 Y, Z, X ), 'c_lessequals'( Z, Y, X ) ] )
% 120.52/120.91 , clause( 183149, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 120.52/120.91 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 120.52/120.91 Y, X ) ) ] )
% 120.52/120.91 , clause( 183150, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 120.52/120.91 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 120.52/120.91 Y, X ) ) ] )
% 120.52/120.91 , clause( 183151, [ ~( 'class_Orderings_Oorder'( X ) ), ~(
% 120.52/120.91 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 120.52/120.91 Y, X ) ) ] )
% 120.52/120.91 , clause( 183152, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 120.52/120.91 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 120.52/120.91 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 120.52/120.91 , clause( 183153, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 120.52/120.91 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 120.52/120.91 , X ) ) ] )
% 120.52/120.91 , clause( 183154, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( Y,
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 120.52/120.91 ), X ) ) ] )
% 120.52/120.91 , clause( 183155, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( Z,
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 120.52/120.91 ), X ) ) ] )
% 120.52/120.91 , clause( 183156, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 120.52/120.91 ), X ) ) ] )
% 120.52/120.91 , clause( 183157, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 120.52/120.91 ), X ) ) ] )
% 120.52/120.91 , clause( 183158, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =(
% 120.52/120.91 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 120.52/120.91 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 120.52/120.91 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'(
% 120.52/120.91 X ) ) ] )
% 120.52/120.91 , clause( 183159, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 120.52/120.91 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 120.52/120.91 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ] )
% 120.52/120.91 , clause( 183160, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 120.52/120.91 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 120.52/120.91 , clause( 183161, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 120.52/120.91 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ), =( Z,
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 120.52/120.91 , clause( 183162, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 120.52/120.91 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 120.52/120.91 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 120.52/120.91 , clause( 183163, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 120.52/120.91 , clause( 183164, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 120.52/120.91 , clause( 183165, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 120.52/120.91 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 120.52/120.91 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 120.52/120.91 , clause( 183166, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 120.52/120.91 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 120.52/120.91 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 120.52/120.91 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ] )
% 120.52/120.91 , clause( 183167, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 120.52/120.91 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 120.52/120.91 , X ) ) ] )
% 120.52/120.91 , clause( 183168, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 120.52/120.91 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 120.52/120.91 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 120.52/120.91 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ] )
% 120.52/120.91 , clause( 183169, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y
% 120.52/120.91 , X ) ) ] )
% 120.52/120.91 , clause( 183170, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'( Z,
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 120.52/120.91 )
% 120.52/120.91 , clause( 183171, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'(
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 120.52/120.91 ] )
% 120.52/120.91 , clause( 183172, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ] )
% 120.52/120.91 , clause( 183173, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ] )
% 120.52/120.91 , clause( 183174, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ] )
% 120.52/120.91 , clause( 183175, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ] )
% 120.52/120.91 , clause( 183176, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Oinverse__class_Odivide'(
% 120.52/120.91 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ) ) ] )
% 120.52/120.91 , clause( 183177, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 120.52/120.91 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ), Z ) ] )
% 120.52/120.91 , clause( 183178, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 120.52/120.91 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 120.52/120.91 , clause( 183179, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 120.52/120.91 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 120.52/120.91 , clause( 183180, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 120.52/120.91 'class_Int_Onumber'( X ) ), ~( =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_Int_Onumber__class_Onumber__of'(
% 120.52/120.91 Z, X ) ) ), =( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 120.52/120.91 , clause( 183181, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 120.52/120.91 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 120.52/120.91 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 120.52/120.91 , 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ] )
% 120.52/120.91 , clause( 183182, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 120.52/120.91 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 120.52/120.91 X ), 'c_HOL_Oinverse__class_Odivide'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 120.52/120.91 , X ) ) ), =( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 120.52/120.91 , clause( 183183, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 120.52/120.91 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 120.52/120.91 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 120.52/120.91 ) ] )
% 120.52/120.91 , clause( 183184, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 120.52/120.91 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 120.52/120.91 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( 'c_HOL_Ozero__class_Ozero'(
% 120.52/120.91 X ), 'c_HOL_Oinverse__class_Odivide'( Z,
% 120.52/120.91 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ] )
% 120.52/120.91 , clause( 183185, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 120.52/120.91 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 120.52/120.91 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 120.52/120.91 , clause( 183186, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 120.52/120.91 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 120.52/120.91 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 120.52/120.91 , clause( 183187, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 120.52/120.91 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 120.52/120.91 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 120.52/120.91 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ), =( Z,
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 120.52/120.91 , clause( 183188, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 120.52/120.91 ), X ) ) ] )
% 120.52/120.91 , clause( 183189, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 120.52/120.91 ), X ) ) ] )
% 120.52/120.91 , clause( 183190, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 120.52/120.91 ), X ) ) ] )
% 120.52/120.91 , clause( 183191, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 120.52/120.91 ), X ) ) ] )
% 120.52/120.91 , clause( 183192, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 120.52/120.91 , clause( 183193, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 120.52/120.91 , clause( 183194, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 120.52/120.91 , clause( 183195, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 120.52/120.91 , clause( 183196, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 120.52/120.91 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ), =( Z,
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 120.52/120.91 , clause( 183197, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 120.52/120.91 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ), =( Y,
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 120.52/120.91 , clause( 183198, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 120.52/120.91 ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 120.52/120.91 'c_Power_Opower__class_Opower'( Y, T, X ) ) ), ~(
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), =( Z
% 120.52/120.91 , T ) ] )
% 120.52/120.91 , clause( 183199, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 120.52/120.91 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ),
% 120.52/120.91 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 120.52/120.91 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ] )
% 120.52/120.91 , clause( 183200, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 120.52/120.91 =( 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'(
% 120.52/120.91 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'( X ) ) ] )
% 120.52/120.91 , clause( 183201, [ ~( 'class_Power_Opower'( X ) ), =(
% 120.52/120.91 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 120.52/120.91 , X ), 'c_HOL_Oone__class_Oone'( X ) ) ] )
% 120.52/120.91 , clause( 183202, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 120.52/120.91 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oone__class_Oone'( X ),
% 120.52/120.91 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 120.52/120.91 ) ] )
% 120.52/120.91 , clause( 183203, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 120.52/120.91 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'(
% 120.52/120.91 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ] )
% 120.52/120.91 , clause( 183204, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 120.52/120.91 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Oinverse'( Y
% 120.52/120.91 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y
% 120.52/120.91 , X ) ) ] )
% 120.52/120.91 , clause( 183205, [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 120.52/120.91 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 120.52/120.91 'c_Transcendental_Oexp'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Oexp'( Y, X ),
% 120.52/120.91 'c_Transcendental_Oexp'( Z, X ), X ) ) ] )
% 120.52/120.91 , clause( 183206, [ 'c_HOL_Oord__class_Oless'( 'v_k', 'v_n', 'tc_nat' ) ]
% 120.52/120.91 )
% 120.52/120.91 , clause( 183207, [ =( 'c_Complex_Oexpi'( 'c_HOL_Ozero__class_Ozero'(
% 120.52/120.91 'tc_Complex_Ocomplex' ) ), 'c_HOL_Oone__class_Oone'(
% 120.52/120.91 'tc_Complex_Ocomplex' ) ) ] )
% 120.52/120.91 , clause( 183208, [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 120.52/120.91 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 120.52/120.91 X ), 'c_HOL_Oone__class_Oone'( X ) ) ] )
% 120.52/120.91 , clause( 183209, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 120.52/120.91 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 120.52/120.91 ) ] )
% 120.52/120.91 , clause( 183210, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 120.52/120.91 ) ) ] )
% 120.52/120.91 , clause( 183211, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 120.52/120.91 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 120.52/120.91 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 120.52/120.91 ) ] )
% 120.52/120.91 , clause( 183212, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 120.52/120.91 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 120.52/120.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 120.52/120.91 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 120.52/120.91 ) ) ] )
% 120.52/120.91 , clause( 183213, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 120.52/120.91 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'(
% 120.52/120.91 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 120.52/120.91 X ) ) ] )
% 120.52/120.91 , clause( 183214, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 120.52/120.91 , clause( 183215, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 120.52/120.91 , clause( 183216, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 120.52/120.91 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ), ~( 'c_lessequals'(
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 120.52/120.91 , clause( 183217, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 120.52/120.91 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ) ) ] )
% 120.52/120.91 , clause( 183218, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 120.52/120.91 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 120.52/120.91 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 120.52/120.91 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 120.52/120.91 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 120.52/120.91 ) ] )
% 120.52/120.91 , clause( 183219, [ ~( =( 'c_FFT__Mirabelle_Oroot'( X ),
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ) ) ) ] )
% 120.52/120.91 , clause( 183220, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 120.52/120.91 , clause( 183221, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 120.52/120.91 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 120.52/120.91 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 120.52/120.91 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 120.52/120.91 Z, T, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 120.52/120.91 , clause( 183222, [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 120.52/120.91 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 120.52/120.91 'c_HOL_Oone__class_Oone'( X ) ) ] )
% 120.52/120.91 , clause( 183223, [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 120.52/120.91 =( 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ]
% 120.52/120.91 )
% 120.52/120.91 , clause( 183224, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ),
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 120.52/120.91 )
% 120.52/120.91 , clause( 183225, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y
% 120.52/120.91 ) ] )
% 120.52/120.91 , clause( 183226, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X )
% 120.52/120.91 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, Z ) ] )
% 120.52/120.91 , clause( 183227, [ ~(
% 120.52/120.91 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~( =(
% 120.52/120.91 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 120.52/120.91 ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 120.52/120.91 , clause( 183228, [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 120.52/120.91 ), ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 120.52/120.91 ) ) ] )
% 120.52/120.91 , clause( 183229, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 120.52/120.91 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 120.52/120.91 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 120.52/120.91 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 120.52/120.91 Z, T, X ), X ) ) ] )
% 120.52/120.91 , clause( 183230, [ =( 'c_Power_Opower__class_Opower'(
% 120.52/120.91 'c_FFT__Mirabelle_Oroot'( X ), X, 'tc_Complex_Ocomplex' ),
% 120.52/120.91 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ) ) ] )
% 120.52/120.91 , clause( 183231, [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 120.52/120.91 =( 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ]
% 120.52/120.91 )
% 120.52/120.91 , clause( 183232, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 120.52/120.91 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 120.52/120.91 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ] )
% 120.52/120.91 , clause( 183233, [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 120.52/120.91 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 120.52/120.91 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ] )
% 120.52/120.91 , clause( 183234, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 120.52/120.91 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 120.52/120.91 ) ] )
% 120.52/120.91 , clause( 183235, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 120.52/120.91 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 120.52/120.91 ) ] )
% 120.52/120.91 , clause( 183236, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 120.52/120.91 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 120.52/120.91 ) ] )
% 120.52/120.91 , clause( 183237, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 120.52/120.91 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 120.52/120.91 ) ] )
% 120.52/120.91 , clause( 183238, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 120.52/120.91 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y,
% 120.52/120.91 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 120.52/120.91 , clause( 183239, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ),
% 120.52/120.91 'c_Power_Opower__class_Opower'( Y, Z, X ), X ),
% 120.52/120.91 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'(
% 120.52/120.91 'c_HOL_Oone__class_Oone'( X ), Y, X ), Z, X ) ) ] )
% 120.52/120.91 , clause( 183240, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 120.52/120.91 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 120.52/120.91 , Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ] )
% 120.52/120.91 , clause( 183241, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 120.52/120.91 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 120.52/120.91 , clause( 183242, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 120.52/120.91 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 120.52/120.91 , clause( 183243, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 120.52/120.91 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 120.52/120.91 , T, X ) ) ), =( Z, T ) ] )
% 120.52/120.91 , clause( 183244, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 120.52/120.91 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 120.52/120.91 , T, X ) ) ), =( Y, Z ) ] )
% 120.52/120.91 , clause( 183245, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 120.52/120.91 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 120.52/120.91 ) ), =( Y, Z ) ] )
% 120.52/120.91 , clause( 183246, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 120.52/120.91 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 120.52/120.91 ) ), =( Y, Z ) ] )
% 120.52/120.91 , clause( 183247, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 120.52/120.91 'class_Int_Onumber__ring'( X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y,
% 120.52/120.91 Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ] )
% 120.52/120.91 , clause( 183248, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 120.52/120.91 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 120.52/120.91 , clause( 183249, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 120.52/120.91 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 120.52/120.91 , clause( 183250, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 120.52/120.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 120.52/120.91 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 120.52/120.91 , clause( 183251, [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 120.52/120.91 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 120.52/120.91 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 120.52/120.91 , clause( 183252, [ ~( =( 'c_HOL_Oinverse__class_Odivide'(
% 120.52/120.91 'c_HOL_Ominus__class_Ominus'( 'c_Power_Opower__class_Opower'(
% 120.52/120.91 'c_Power_Opower__class_Opower'( 'c_FFT__Mirabelle_Oroot'( 'v_n' ), 'v_n'
% 120.52/120.91 , 'tc_Complex_Ocomplex' ), 'v_k', 'tc_Complex_Ocomplex' ),
% 120.52/120.91 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex'
% 120.52/120.91 ), 'c_HOL_Ominus__class_Ominus'( 'c_Power_Opower__class_Opower'(
% 120.52/120.91 'c_FFT__Mirabelle_Oroot'( 'v_n' ), 'v_k', 'tc_Complex_Ocomplex' ),
% 120.52/120.91 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex'
% 120.52/120.91 ), 'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'(
% 120.52/120.91 'tc_Complex_Ocomplex' ) ) ) ] )
% 120.52/120.91 , clause( 183253, [
% 120.52/120.91 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' ) ]
% 120.52/120.91 )
% 120.52/120.91 , clause( 183254, [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 120.52/120.91 'tc_nat' ) ] )
% 120.52/120.91 , clause( 183255, [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 120.52/120.91 'tc_nat' ) ] )
% 120.52/120.91 , clause( 183256, [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat'
% 120.52/120.91 ) ] )
% 120.52/120.91 , clause( 183257, [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_nat' )
% 120.52/120.91 ] )
% 120.52/120.91 , clause( 183258, [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat'
% 120.52/120.91 ) ] )
% 120.52/120.91 , clause( 183259, [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' )
% 120.52/120.91 ] )
% 120.52/120.91 , clause( 183260, [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' )
% 120.52/120.91 ] )
% 120.52/120.91 , clause( 183261, [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ]
% 120.52/120.91 )
% 120.52/120.91 , clause( 183262, [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ]
% 120.52/120.91 )
% 120.52/120.91 , clause( 183263, [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ]
% 120.52/120.91 )
% 120.52/120.91 , clause( 183264, [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ] )
% 120.52/120.91 , clause( 183265, [ 'class_Ring__and__Field_Omult__mono1'( 'tc_nat' ) ] )
% 120.52/120.91 , clause( 183266, [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ] )
% 120.52/120.91 , clause( 183267, [ 'class_Ring__and__Field_Omult__mono'( 'tc_nat' ) ] )
% 120.52/120.91 , clause( 183268, [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ] )
% 120.52/120.91 , clause( 183269, [ 'class_Ring__and__Field_Odvd'( 'tc_nat' ) ] )
% 120.52/120.91 , clause( 183270, [ 'class_Orderings_Opreorder'( 'tc_nat' ) ] )
% 120.52/120.91 , clause( 183271, [ 'class_Orderings_Olinorder'( 'tc_nat' ) ] )
% 120.52/120.91 , clause( 183272, [ 'class_Orderings_Oorder'( 'tc_nat' ) ] )
% 120.52/120.91 , clause( 183273, [ 'class_Power_Opower'( 'tc_nat' ) ] )
% 120.52/120.91 , clause( 183274, [ 'class_Int_Onumber'( 'tc_nat' ) ] )
% 120.52/120.91 , clause( 183275, [
% 120.52/120.91 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_Int_Oint'
% 120.52/120.91 ) ] )
% 120.52/120.91 , clause( 183276, [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 120.52/120.91 'tc_Int_Oint' ) ] )
% 120.52/120.91 , clause( 183277, [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 120.52/120.91 'tc_Int_Oint' ) ] )
% 120.52/120.91 , clause( 183278, [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 120.52/120.91 'tc_Int_Oint' ) ] )
% 120.52/120.91 , clause( 183279, [ 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 120.52/120.91 'tc_Int_Oint' ) ] )
% 120.52/120.91 , clause( 183280, [ 'class_OrderedGroup_Olordered__ab__group__add__abs'(
% 120.52/120.91 'tc_Int_Oint' ) ] )
% 120.52/120.91 , clause( 183281, [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 120.52/120.91 'tc_Int_Oint' ) ] )
% 120.52/120.91 , clause( 183282, [ 'class_Ring__and__Field_Oordered__ring__strict'(
% 120.52/120.91 'tc_Int_Oint' ) ] )
% 120.52/120.91 , clause( 183283, [ 'class_OrderedGroup_Opordered__ab__group__add'(
% 120.52/120.91 'tc_Int_Oint' ) ] )
% 120.52/120.91 , clause( 183284, [ 'class_OrderedGroup_Olordered__ab__group__add'(
% 120.52/120.91 'tc_Int_Oint' ) ] )
% 120.52/120.91 , clause( 183285, [ 'class_OrderedGroup_Oordered__ab__group__add'(
% 120.52/120.91 'tc_Int_Oint' ) ] )
% 120.52/120.91 , clause( 183286, [ 'class_Ring__and__Field_Opordered__semiring'(
% 120.52/120.91 'tc_Int_Oint' ) ] )
% 120.52/120.91 , clause( 183287, [ 'class_Ring__and__Field_Opordered__ring__abs'(
% 120.52/120.91 'tc_Int_Oint' ) ] )
% 120.52/120.91 , clause( 183288, [ 'class_Ring__and__Field_Oordered__semiring'(
% 120.52/120.91 'tc_Int_Oint' ) ] )
% 120.52/120.91 , clause( 183289, [ 'class_Ring__and__Field_Ono__zero__divisors'(
% 120.52/120.91 'tc_Int_Oint' ) ] )
% 120.52/120.91 , clause( 183290, [ 'class_Ring__and__Field_Oordered__semidom'(
% 120.52/120.91 'tc_Int_Oint' ) ] )
% 120.52/120.91 , clause( 183291, [ 'class_Ring__and__Field_Ocomm__semiring__1'(
% 120.52/120.91 'tc_Int_Oint' ) ] )
% 120.52/120.91 , clause( 183292, [ 'class_OrderedGroup_Oab__semigroup__mult'(
% 120.52/120.91 'tc_Int_Oint' ) ] )
% 120.52/120.91 , clause( 183293, [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Int_Oint'
% 120.52/120.91 ) ] )
% 120.52/120.91 , clause( 183294, [ 'class_Ring__and__Field_Opordered__ring'( 'tc_Int_Oint'
% 120.52/120.91 ) ] )
% 120.52/120.91 , clause( 183295, [ 'class_Ring__and__Field_Olordered__ring'( 'tc_Int_Oint'
% 120.52/120.91 ) ] )
% 120.52/120.91 , clause( 183296, [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Int_Oint'
% 120.52/120.91 ) ] )
% 120.52/120.91 , clause( 183297, [ 'class_Ring__and__Field_Oordered__idom'( 'tc_Int_Oint'
% 120.52/120.91 ) ] )
% 120.52/120.91 , clause( 183298, [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Int_Oint'
% 120.52/120.91 ) ] )
% 120.52/120.91 , clause( 183299, [ 'class_Ring__and__Field_Osemiring__0'( 'tc_Int_Oint' )
% 120.52/120.91 ] )
% 120.52/120.91 , clause( 183300, [ 'class_Ring__and__Field_Omult__mono1'( 'tc_Int_Oint' )
% 120.52/120.91 ] )
% 120.52/120.91 , clause( 183301, [ 'class_OrderedGroup_Oab__group__add'( 'tc_Int_Oint' ) ]
% 120.52/120.91 )
% 120.52/120.91 , clause( 183302, [ 'class_Ring__and__Field_Omult__zero'( 'tc_Int_Oint' ) ]
% 120.52/120.91 )
% 120.52/120.91 , clause( 183303, [ 'class_Ring__and__Field_Omult__mono'( 'tc_Int_Oint' ) ]
% 120.52/120.91 )
% 120.52/120.91 , clause( 183304, [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Int_Oint' ) ]
% 120.52/120.91 )
% 120.52/120.91 , clause( 183305, [ 'class_OrderedGroup_Ogroup__add'( 'tc_Int_Oint' ) ] )
% 120.52/120.91 , clause( 183306, [ 'class_Ring__and__Field_Oring__1'( 'tc_Int_Oint' ) ] )
% 120.52/120.91 , clause( 183307, [ 'class_Ring__and__Field_Oabs__if'( 'tc_Int_Oint' ) ] )
% 120.52/120.91 , clause( 183308, [ 'class_Ring__and__Field_Oring'( 'tc_Int_Oint' ) ] )
% 120.52/120.91 , clause( 183309, [ 'class_Ring__and__Field_Oidom'( 'tc_Int_Oint' ) ] )
% 120.52/120.91 , clause( 183310, [ 'class_Ring__and__Field_Odvd'( 'tc_Int_Oint' ) ] )
% 120.52/120.91 , clause( 183311, [ 'class_Orderings_Opreorder'( 'tc_Int_Oint' ) ] )
% 120.52/120.91 , clause( 183312, [ 'class_Orderings_Olinorder'( 'tc_Int_Oint' ) ] )
% 120.52/120.91 , clause( 183313, [ 'class_Orderings_Oorder'( 'tc_Int_Oint' ) ] )
% 120.52/120.91 , clause( 183314, [ 'class_Int_Oring__char__0'( 'tc_Int_Oint' ) ] )
% 120.52/120.91 , clause( 183315, [ 'class_Int_Onumber__ring'( 'tc_Int_Oint' ) ] )
% 120.52/120.91 , clause( 183316, [ 'class_Power_Opower'( 'tc_Int_Oint' ) ] )
% 120.52/120.91 , clause( 183317, [ 'class_Int_Onumber'( 'tc_Int_Oint' ) ] )
% 120.52/120.91 , clause( 183318, [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 120.52/120.91 'tc_Complex_Ocomplex' ) ] )
% 120.52/120.91 , clause( 183319, [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 120.52/120.91 'tc_Complex_Ocomplex' ) ] )
% 120.52/120.91 , clause( 183320, [ 'class_Ring__and__Field_Ono__zero__divisors'(
% 120.52/120.91 'tc_Complex_Ocomplex' ) ] )
% 120.52/120.91 , clause( 183321, [ 'class_Ring__and__Field_Odivision__by__zero'(
% 120.52/120.91 'tc_Complex_Ocomplex' ) ] )
% 120.52/120.91 , clause( 183322, [ 'class_Ring__and__Field_Ocomm__semiring__1'(
% 120.52/120.91 'tc_Complex_Ocomplex' ) ] )
% 120.52/120.91 , clause( 183323, [ 'class_RealVector_Oreal__normed__algebra'(
% 120.52/120.91 'tc_Complex_Ocomplex' ) ] )
% 120.52/120.91 , clause( 183324, [ 'class_OrderedGroup_Oab__semigroup__mult'(
% 120.52/120.91 'tc_Complex_Ocomplex' ) ] )
% 120.52/120.91 , clause( 183325, [ 'class_OrderedGroup_Ocomm__monoid__mult'(
% 120.52/120.91 'tc_Complex_Ocomplex' ) ] )
% 120.52/120.91 , clause( 183326, [ 'class_Ring__and__Field_Odivision__ring'(
% 120.52/120.91 'tc_Complex_Ocomplex' ) ] )
% 120.52/120.91 , clause( 183327, [ 'class_RealVector_Oreal__normed__field'(
% 120.52/120.91 'tc_Complex_Ocomplex' ) ] )
% 120.52/120.91 , clause( 183328, [ 'class_Ring__and__Field_Ozero__neq__one'(
% 120.52/120.91 'tc_Complex_Ocomplex' ) ] )
% 120.52/120.91 , clause( 183329, [ 'class_Ring__and__Field_Ocomm__ring__1'(
% 120.52/120.91 'tc_Complex_Ocomplex' ) ] )
% 120.52/120.91 , clause( 183330, [ 'class_Ring__and__Field_Osemiring__0'(
% 120.52/120.91 'tc_Complex_Ocomplex' ) ] )
% 120.52/120.91 , clause( 183331, [ 'class_OrderedGroup_Oab__group__add'(
% 120.52/120.91 'tc_Complex_Ocomplex' ) ] )
% 120.52/120.91 , clause( 183332, [ 'class_Ring__and__Field_Omult__zero'(
% 120.52/120.91 'tc_Complex_Ocomplex' ) ] )
% 120.52/120.91 , clause( 183333, [ 'class_OrderedGroup_Omonoid__mult'(
% 120.52/120.91 'tc_Complex_Ocomplex' ) ] )
% 120.52/120.91 , clause( 183334, [ 'class_OrderedGroup_Ogroup__add'( 'tc_Complex_Ocomplex'
% 120.52/120.91 ) ] )
% 120.52/120.91 , clause( 183335, [ 'class_Ring__and__Field_Oring__1'(
% 120.52/120.91 'tc_Complex_Ocomplex' ) ] )
% 120.52/120.91 , clause( 183336, [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex'
% 120.52/120.91 ) ] )
% 120.52/120.91 , clause( 183337, [ 'class_Ring__and__Field_Oring'( 'tc_Complex_Ocomplex' )
% 120.52/120.91 ] )
% 120.52/120.91 , clause( 183338, [ 'class_Ring__and__Field_Oidom'( 'tc_Complex_Ocomplex' )
% 120.52/120.91 ] )
% 120.52/120.91 , clause( 183339, [ 'class_Ring__and__Field_Odvd'( 'tc_Complex_Ocomplex' )
% 120.52/120.91 ] )
% 120.52/120.91 , clause( 183340, [ 'class_Int_Oring__char__0'( 'tc_Complex_Ocomplex' ) ]
% 120.52/120.91 )
% 120.52/120.91 , clause( 183341, [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ] )
% 120.52/120.91 , clause( 183342, [ 'class_Power_Opower'( 'tc_Complex_Ocomplex' ) ] )
% 120.52/120.91 , clause( 183343, [ 'class_SEQ_Obanach'( 'tc_Complex_Ocomplex' ) ] )
% 120.56/120.93 , clause( 183344, [ 'class_Int_Onumber'( 'tc_Complex_Ocomplex' ) ] )
% 120.56/120.93 ] ).
% 120.56/120.93
% 120.56/120.93
% 120.56/120.93
% 120.56/120.93 subsumption(
% 120.56/120.93 clause( 10, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 120.56/120.93 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 120.56/120.93 , Z, X ), X ) ] )
% 120.56/120.93 , clause( 182589, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 120.56/120.93 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 120.56/120.93 , Z, X ), X ) ] )
% 120.56/120.93 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 120.56/120.93 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] ) ).
% 120.56/120.93
% 120.56/120.93
% 120.56/120.93 subsumption(
% 120.56/120.93 clause( 180, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( Y
% 120.56/120.93 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 120.56/120.93 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 120.56/120.93 , X ) ) ] )
% 120.56/120.93 , clause( 182792, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 120.56/120.93 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 120.56/120.93 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 120.56/120.93 , X ) ) ] )
% 120.56/120.93 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 120.56/120.93 ), ==>( 1, 1 ), ==>( 2, 2 )] ) ).
% 120.56/120.93
% 120.56/120.93
% 120.56/120.93 eqswap(
% 120.56/120.93 clause( 184017, [ =( 'c_HOL_Otimes__class_Otimes'( X,
% 120.56/120.93 'c_HOL_Oinverse__class_Oinverse'( Y, Z ), Z ),
% 120.56/120.93 'c_HOL_Oinverse__class_Odivide'( X, Y, Z ) ), ~(
% 120.56/120.93 'class_Ring__and__Field_Ofield'( Z ) ) ] )
% 120.56/120.93 , clause( 183107, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 120.56/120.93 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'(
% 120.56/120.93 Y, 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ] )
% 120.56/120.93 , 1, substitution( 0, [ :=( X, Z ), :=( Y, X ), :=( Z, Y )] )).
% 120.56/120.93
% 120.56/120.93
% 120.56/120.93 subsumption(
% 120.56/120.93 clause( 438, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 120.56/120.93 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'( Z, X )
% 120.56/120.93 , X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ] )
% 120.56/120.93 , clause( 184017, [ =( 'c_HOL_Otimes__class_Otimes'( X,
% 120.56/120.93 'c_HOL_Oinverse__class_Oinverse'( Y, Z ), Z ),
% 120.56/120.93 'c_HOL_Oinverse__class_Odivide'( X, Y, Z ) ), ~(
% 120.56/120.93 'class_Ring__and__Field_Ofield'( Z ) ) ] )
% 120.56/120.93 , substitution( 0, [ :=( X, Y ), :=( Y, Z ), :=( Z, X )] ),
% 120.56/120.93 permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] ) ).
% 120.56/120.93
% 120.56/120.93
% 120.56/120.93 subsumption(
% 120.56/120.93 clause( 530, [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 120.56/120.93 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 120.56/120.93 'c_HOL_Oone__class_Oone'( X ) ) ] )
% 120.56/120.93 , clause( 183222, [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 120.56/120.93 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 120.56/120.93 'c_HOL_Oone__class_Oone'( X ) ) ] )
% 120.56/120.93 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 120.56/120.93 ), ==>( 1, 1 )] ) ).
% 120.56/120.93
% 120.56/120.93
% 120.56/120.93 subsumption(
% 120.56/120.93 clause( 537, [ =( 'c_Power_Opower__class_Opower'( 'c_FFT__Mirabelle_Oroot'(
% 120.56/120.93 X ), X, 'tc_Complex_Ocomplex' ), 'c_HOL_Oone__class_Oone'(
% 120.56/120.93 'tc_Complex_Ocomplex' ) ) ] )
% 120.56/120.93 , clause( 183230, [ =( 'c_Power_Opower__class_Opower'(
% 120.56/120.93 'c_FFT__Mirabelle_Oroot'( X ), X, 'tc_Complex_Ocomplex' ),
% 120.56/120.93 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ) ) ] )
% 120.56/120.93 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 120.56/120.93
% 120.56/120.93
% 120.56/120.93 subsumption(
% 120.56/120.93 clause( 541, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 120.56/120.93 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 120.56/120.93 ) ] )
% 120.56/120.93 , clause( 183235, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 120.56/120.93 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 120.56/120.93 ) ] )
% 120.56/120.93 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 120.56/120.93 ), ==>( 1, 1 )] ) ).
% 120.56/120.93
% 120.56/120.93
% 120.56/120.93 paramod(
% 120.56/120.93 clause( 187420, [ ~( =( 'c_HOL_Oinverse__class_Odivide'(
% 120.56/120.93 'c_HOL_Ominus__class_Ominus'( 'c_Power_Opower__class_Opower'(
% 120.56/120.93 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ), 'v_k',
% 120.56/120.93 'tc_Complex_Ocomplex' ), 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex'
% 120.56/120.93 ), 'tc_Complex_Ocomplex' ), 'c_HOL_Ominus__class_Ominus'(
% 120.56/120.93 'c_Power_Opower__class_Opower'( 'c_FFT__Mirabelle_Oroot'( 'v_n' ), 'v_k'
% 120.56/120.93 , 'tc_Complex_Ocomplex' ), 'c_HOL_Oone__class_Oone'(
% 120.56/120.93 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' )
% 120.56/120.93 , 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ) ) ) ] )
% 120.56/120.93 , clause( 537, [ =( 'c_Power_Opower__class_Opower'(
% 120.56/120.94 'c_FFT__Mirabelle_Oroot'( X ), X, 'tc_Complex_Ocomplex' ),
% 120.56/120.94 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ) ) ] )
% 120.56/120.94 , 0, clause( 183252, [ ~( =( 'c_HOL_Oinverse__class_Odivide'(
% 120.56/120.94 'c_HOL_Ominus__class_Ominus'( 'c_Power_Opower__class_Opower'(
% 120.56/120.94 'c_Power_Opower__class_Opower'( 'c_FFT__Mirabelle_Oroot'( 'v_n' ), 'v_n'
% 120.56/120.94 , 'tc_Complex_Ocomplex' ), 'v_k', 'tc_Complex_Ocomplex' ),
% 120.56/120.94 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex'
% 120.56/120.94 ), 'c_HOL_Ominus__class_Ominus'( 'c_Power_Opower__class_Opower'(
% 120.56/120.94 'c_FFT__Mirabelle_Oroot'( 'v_n' ), 'v_k', 'tc_Complex_Ocomplex' ),
% 120.56/120.94 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex'
% 120.56/120.94 ), 'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'(
% 120.56/120.94 'tc_Complex_Ocomplex' ) ) ) ] )
% 120.56/120.94 , 0, 5, substitution( 0, [ :=( X, 'v_n' )] ), substitution( 1, [] )).
% 120.56/120.94
% 120.56/120.94
% 120.56/120.94 subsumption(
% 120.56/120.94 clause( 551, [ ~( =( 'c_HOL_Oinverse__class_Odivide'(
% 120.56/120.94 'c_HOL_Ominus__class_Ominus'( 'c_Power_Opower__class_Opower'(
% 120.56/120.94 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ), 'v_k',
% 120.56/120.94 'tc_Complex_Ocomplex' ), 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex'
% 120.56/120.94 ), 'tc_Complex_Ocomplex' ), 'c_HOL_Ominus__class_Ominus'(
% 120.56/120.94 'c_Power_Opower__class_Opower'( 'c_FFT__Mirabelle_Oroot'( 'v_n' ), 'v_k'
% 120.56/120.94 , 'tc_Complex_Ocomplex' ), 'c_HOL_Oone__class_Oone'(
% 120.56/120.94 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' )
% 120.56/120.94 , 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ) ) ) ] )
% 120.56/120.94 , clause( 187420, [ ~( =( 'c_HOL_Oinverse__class_Odivide'(
% 120.56/120.94 'c_HOL_Ominus__class_Ominus'( 'c_Power_Opower__class_Opower'(
% 120.56/120.94 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ), 'v_k',
% 120.56/120.94 'tc_Complex_Ocomplex' ), 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex'
% 120.56/120.94 ), 'tc_Complex_Ocomplex' ), 'c_HOL_Ominus__class_Ominus'(
% 120.56/120.94 'c_Power_Opower__class_Opower'( 'c_FFT__Mirabelle_Oroot'( 'v_n' ), 'v_k'
% 120.56/120.94 , 'tc_Complex_Ocomplex' ), 'c_HOL_Oone__class_Oone'(
% 120.56/120.94 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' )
% 120.56/120.94 , 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ) ) ) ] )
% 120.56/120.94 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 120.56/120.94
% 120.56/120.94
% 120.56/120.94 subsumption(
% 120.56/120.94 clause( 621, [ 'class_Ring__and__Field_Ocomm__semiring__1'(
% 120.56/120.94 'tc_Complex_Ocomplex' ) ] )
% 120.56/120.94 , clause( 183322, [ 'class_Ring__and__Field_Ocomm__semiring__1'(
% 120.56/120.94 'tc_Complex_Ocomplex' ) ] )
% 120.56/120.94 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 120.56/120.94
% 120.56/120.94
% 120.56/120.94 subsumption(
% 120.56/120.94 clause( 632, [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Complex_Ocomplex' )
% 120.56/120.94 ] )
% 120.56/120.94 , clause( 183333, [ 'class_OrderedGroup_Omonoid__mult'(
% 120.56/120.94 'tc_Complex_Ocomplex' ) ] )
% 120.56/120.94 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 120.56/120.94
% 120.56/120.94
% 120.56/120.94 subsumption(
% 120.56/120.94 clause( 633, [ 'class_OrderedGroup_Ogroup__add'( 'tc_Complex_Ocomplex' ) ]
% 120.56/120.94 )
% 120.56/120.94 , clause( 183334, [ 'class_OrderedGroup_Ogroup__add'( 'tc_Complex_Ocomplex'
% 120.56/120.94 ) ] )
% 120.56/120.94 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 120.56/120.94
% 120.56/120.94
% 120.56/120.94 subsumption(
% 120.56/120.94 clause( 635, [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex' ) ]
% 120.56/120.94 )
% 120.56/120.94 , clause( 183336, [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex'
% 120.56/120.94 ) ] )
% 120.56/120.94 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 120.56/120.94
% 120.56/120.94
% 120.56/120.94 resolution(
% 120.56/120.94 clause( 190274, [ 'c_Ring__and__Field_Odvd__class_Odvd'( X,
% 120.56/120.94 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_Complex_Ocomplex' ),
% 120.56/120.94 'tc_Complex_Ocomplex' ) ] )
% 120.56/120.94 , clause( 10, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 120.56/120.94 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 120.56/120.94 , Z, X ), X ) ] )
% 120.56/120.94 , 0, clause( 621, [ 'class_Ring__and__Field_Ocomm__semiring__1'(
% 120.56/120.94 'tc_Complex_Ocomplex' ) ] )
% 120.56/120.94 , 0, substitution( 0, [ :=( X, 'tc_Complex_Ocomplex' ), :=( Y, X ), :=( Z,
% 120.56/120.94 Y )] ), substitution( 1, [] )).
% 120.56/120.94
% 120.56/120.94
% 120.56/120.94 subsumption(
% 120.56/120.94 clause( 835, [ 'c_Ring__and__Field_Odvd__class_Odvd'( X,
% 120.56/120.94 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_Complex_Ocomplex' ),
% 120.56/120.94 'tc_Complex_Ocomplex' ) ] )
% 120.56/120.94 , clause( 190274, [ 'c_Ring__and__Field_Odvd__class_Odvd'( X,
% 120.56/120.94 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_Complex_Ocomplex' ),
% 120.56/120.94 'tc_Complex_Ocomplex' ) ] )
% 120.56/120.94 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 120.56/120.94 )] ) ).
% 120.56/120.94
% 120.56/120.94
% 120.56/120.94 eqswap(
% 120.56/120.94 clause( 190275, [ =( 'c_HOL_Ozero__class_Ozero'( Y ),
% 120.56/120.94 'c_HOL_Ominus__class_Ominus'( X, X, Y ) ), ~(
% 120.56/120.94 'class_OrderedGroup_Ogroup__add'( Y ) ) ] )
% 120.56/120.94 , clause( 541, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 120.56/120.94 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 120.56/120.94 ) ] )
% 120.56/120.94 , 1, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 120.56/120.94
% 120.56/120.94
% 120.56/120.94 resolution(
% 120.56/120.94 clause( 190276, [ =( 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ),
% 120.56/120.94 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_Complex_Ocomplex' ) ) ] )
% 120.56/120.94 , clause( 190275, [ =( 'c_HOL_Ozero__class_Ozero'( Y ),
% 120.56/120.94 'c_HOL_Ominus__class_Ominus'( X, X, Y ) ), ~(
% 120.56/120.94 'class_OrderedGroup_Ogroup__add'( Y ) ) ] )
% 120.56/120.94 , 1, clause( 633, [ 'class_OrderedGroup_Ogroup__add'( 'tc_Complex_Ocomplex'
% 120.56/120.94 ) ] )
% 120.56/120.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, 'tc_Complex_Ocomplex' )] ),
% 120.56/120.94 substitution( 1, [] )).
% 120.56/120.94
% 120.56/120.94
% 120.56/120.94 eqswap(
% 120.56/120.94 clause( 190277, [ =( 'c_HOL_Ominus__class_Ominus'( X, X,
% 120.56/120.94 'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'(
% 120.56/120.94 'tc_Complex_Ocomplex' ) ) ] )
% 120.56/120.94 , clause( 190276, [ =( 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' )
% 120.56/120.94 , 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_Complex_Ocomplex' ) ) ] )
% 120.56/120.94 , 0, substitution( 0, [ :=( X, X )] )).
% 120.56/120.94
% 120.56/120.94
% 120.56/120.94 subsumption(
% 120.56/120.94 clause( 1663, [ =( 'c_HOL_Ominus__class_Ominus'( X, X,
% 120.56/120.94 'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'(
% 120.56/120.94 'tc_Complex_Ocomplex' ) ) ] )
% 120.56/120.94 , clause( 190277, [ =( 'c_HOL_Ominus__class_Ominus'( X, X,
% 120.56/120.94 'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'(
% 120.56/120.94 'tc_Complex_Ocomplex' ) ) ] )
% 120.56/120.94 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 120.56/120.94
% 120.56/120.94
% 120.56/120.94 paramod(
% 120.56/120.94 clause( 190279, [ 'c_Ring__and__Field_Odvd__class_Odvd'( X,
% 120.56/120.94 'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_Complex_Ocomplex' ),
% 120.56/120.94 'tc_Complex_Ocomplex' ), ~( 'class_Ring__and__Field_Ofield'(
% 120.56/120.94 'tc_Complex_Ocomplex' ) ) ] )
% 120.56/120.94 , clause( 438, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 120.56/120.94 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'( Z, X )
% 120.56/120.94 , X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ] )
% 120.56/120.94 , 1, clause( 835, [ 'c_Ring__and__Field_Odvd__class_Odvd'( X,
% 120.56/120.94 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_Complex_Ocomplex' ),
% 120.56/120.94 'tc_Complex_Ocomplex' ) ] )
% 120.56/120.94 , 0, 2, substitution( 0, [ :=( X, 'tc_Complex_Ocomplex' ), :=( Y, X ), :=(
% 120.56/120.94 Z, Y )] ), substitution( 1, [ :=( X, X ), :=( Y,
% 120.56/120.94 'c_HOL_Oinverse__class_Oinverse'( Y, 'tc_Complex_Ocomplex' ) )] )).
% 120.56/120.94
% 120.56/120.94
% 120.56/120.94 resolution(
% 120.56/120.94 clause( 190280, [ 'c_Ring__and__Field_Odvd__class_Odvd'( X,
% 120.56/120.94 'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_Complex_Ocomplex' ),
% 120.56/120.94 'tc_Complex_Ocomplex' ) ] )
% 120.56/120.94 , clause( 190279, [ 'c_Ring__and__Field_Odvd__class_Odvd'( X,
% 120.56/120.94 'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_Complex_Ocomplex' ),
% 120.56/120.94 'tc_Complex_Ocomplex' ), ~( 'class_Ring__and__Field_Ofield'(
% 120.56/120.94 'tc_Complex_Ocomplex' ) ) ] )
% 120.56/120.94 , 1, clause( 635, [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex'
% 120.56/120.94 ) ] )
% 120.56/120.94 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [] )
% 120.56/120.94 ).
% 120.56/120.94
% 120.56/120.94
% 120.56/120.94 subsumption(
% 120.56/120.94 clause( 124399, [ 'c_Ring__and__Field_Odvd__class_Odvd'( X,
% 120.56/120.94 'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_Complex_Ocomplex' ),
% 120.56/120.94 'tc_Complex_Ocomplex' ) ] )
% 120.56/120.94 , clause( 190280, [ 'c_Ring__and__Field_Odvd__class_Odvd'( X,
% 120.56/120.94 'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_Complex_Ocomplex' ),
% 120.56/120.94 'tc_Complex_Ocomplex' ) ] )
% 120.56/120.94 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 120.56/120.94 )] ) ).
% 120.56/120.94
% 120.56/120.94
% 120.56/120.94 eqswap(
% 120.56/120.94 clause( 190281, [ =( 'c_HOL_Ozero__class_Ozero'( Y ), X ), ~(
% 120.56/120.94 'class_Ring__and__Field_Ocomm__semiring__1'( Y ) ), ~(
% 120.56/120.94 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ozero__class_Ozero'( Y ), X
% 120.56/120.94 , Y ) ) ] )
% 120.56/120.94 , clause( 180, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 120.56/120.94 Y, 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 120.56/120.94 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 120.56/120.94 , X ) ) ] )
% 120.56/120.94 , 1, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 120.56/120.94
% 120.56/120.94
% 120.56/120.94 resolution(
% 120.56/120.94 clause( 190282, [ =( 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ),
% 120.56/120.94 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'(
% 120.56/120.94 'tc_Complex_Ocomplex' ), X, 'tc_Complex_Ocomplex' ) ), ~(
% 120.56/120.94 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Complex_Ocomplex' ) ) ]
% 120.56/120.94 )
% 120.56/120.94 , clause( 190281, [ =( 'c_HOL_Ozero__class_Ozero'( Y ), X ), ~(
% 120.56/120.94 'class_Ring__and__Field_Ocomm__semiring__1'( Y ) ), ~(
% 120.56/120.94 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ozero__class_Ozero'( Y ), X
% 120.56/120.94 , Y ) ) ] )
% 120.56/120.94 , 2, clause( 124399, [ 'c_Ring__and__Field_Odvd__class_Odvd'( X,
% 120.56/120.94 'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_Complex_Ocomplex' ),
% 120.56/120.94 'tc_Complex_Ocomplex' ) ] )
% 120.56/120.94 , 0, substitution( 0, [ :=( X, 'c_HOL_Oinverse__class_Odivide'(
% 120.56/120.94 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ), X,
% 120.56/120.94 'tc_Complex_Ocomplex' ) ), :=( Y, 'tc_Complex_Ocomplex' )] ),
% 120.56/120.94 substitution( 1, [ :=( X, 'c_HOL_Ozero__class_Ozero'(
% 120.56/120.94 'tc_Complex_Ocomplex' ) ), :=( Y, X )] )).
% 120.56/120.94
% 120.56/120.94
% 120.56/120.94 resolution(
% 120.56/120.94 clause( 190283, [ =( 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ),
% 120.56/120.94 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'(
% 120.56/120.94 'tc_Complex_Ocomplex' ), X, 'tc_Complex_Ocomplex' ) ) ] )
% 120.56/120.94 , clause( 190282, [ =( 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' )
% 120.56/120.94 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'(
% 120.56/120.94 'tc_Complex_Ocomplex' ), X, 'tc_Complex_Ocomplex' ) ), ~(
% 120.56/120.94 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Complex_Ocomplex' ) ) ]
% 120.56/120.94 )
% 120.56/120.94 , 1, clause( 621, [ 'class_Ring__and__Field_Ocomm__semiring__1'(
% 120.56/120.94 'tc_Complex_Ocomplex' ) ] )
% 120.56/120.94 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [] )).
% 120.56/120.94
% 120.56/120.94
% 120.56/120.94 eqswap(
% 120.56/120.94 clause( 190284, [ =( 'c_HOL_Oinverse__class_Odivide'(
% 120.56/120.94 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ), X,
% 120.56/120.94 'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'(
% 120.56/120.94 'tc_Complex_Ocomplex' ) ) ] )
% 120.56/120.94 , clause( 190283, [ =( 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' )
% 120.56/120.94 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'(
% 120.56/120.94 'tc_Complex_Ocomplex' ), X, 'tc_Complex_Ocomplex' ) ) ] )
% 120.56/120.94 , 0, substitution( 0, [ :=( X, X )] )).
% 120.56/120.94
% 120.56/120.94
% 120.56/120.94 subsumption(
% 120.56/120.94 clause( 124422, [ =( 'c_HOL_Oinverse__class_Odivide'(
% 120.56/120.94 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ), X,
% 120.56/120.94 'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'(
% 120.56/120.94 'tc_Complex_Ocomplex' ) ) ] )
% 120.56/120.94 , clause( 190284, [ =( 'c_HOL_Oinverse__class_Odivide'(
% 120.56/120.94 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ), X,
% 120.56/120.94 'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'(
% 120.56/120.94 'tc_Complex_Ocomplex' ) ) ] )
% 120.56/120.94 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 120.56/120.94
% 120.56/120.94
% 120.56/120.94 eqswap(
% 120.56/120.94 clause( 190285, [ =( 'c_HOL_Oone__class_Oone'( X ),
% 120.56/120.94 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ),
% 120.56/120.94 ~( 'class_OrderedGroup_Omonoid__mult'( X ) ) ] )
% 120.56/120.94 , clause( 530, [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 120.56/120.94 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 120.56/120.94 'c_HOL_Oone__class_Oone'( X ) ) ] )
% 120.56/120.94 , 1, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 120.56/120.94
% 120.56/120.94
% 120.56/120.94 resolution(
% 120.56/120.94 clause( 190286, [ =( 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ),
% 120.56/120.94 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'(
% 120.56/120.94 'tc_Complex_Ocomplex' ), X, 'tc_Complex_Ocomplex' ) ) ] )
% 120.56/120.94 , clause( 190285, [ =( 'c_HOL_Oone__class_Oone'( X ),
% 120.56/120.94 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ),
% 120.56/120.94 ~( 'class_OrderedGroup_Omonoid__mult'( X ) ) ] )
% 120.56/120.94 , 1, clause( 632, [ 'class_OrderedGroup_Omonoid__mult'(
% 120.56/120.94 'tc_Complex_Ocomplex' ) ] )
% 120.56/120.94 , 0, substitution( 0, [ :=( X, 'tc_Complex_Ocomplex' ), :=( Y, X )] ),
% 120.56/120.94 substitution( 1, [] )).
% 120.56/120.94
% 120.56/120.94
% 120.56/120.94 eqswap(
% 120.56/120.94 clause( 190287, [ =( 'c_Power_Opower__class_Opower'(
% 120.56/120.94 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ), X,
% 120.56/120.94 'tc_Complex_Ocomplex' ), 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex'
% 120.56/120.94 ) ) ] )
% 120.56/120.94 , clause( 190286, [ =( 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ),
% 120.56/120.94 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'(
% 120.56/120.94 'tc_Complex_Ocomplex' ), X, 'tc_Complex_Ocomplex' ) ) ] )
% 120.56/120.94 , 0, substitution( 0, [ :=( X, X )] )).
% 120.56/120.94
% 120.56/120.94
% 120.56/120.94 subsumption(
% 120.56/120.94 clause( 171844, [ =( 'c_Power_Opower__class_Opower'(
% 120.56/120.94 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ), X,
% 120.56/120.94 'tc_Complex_Ocomplex' ), 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex'
% 120.56/120.94 ) ) ] )
% 120.56/120.94 , clause( 190287, [ =( 'c_Power_Opower__class_Opower'(
% 120.56/120.94 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ), X,
% 120.56/120.94 'tc_Complex_Ocomplex' ), 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex'
% 120.56/120.94 ) ) ] )
% 120.56/120.94 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 120.56/120.94
% 120.56/120.94
% 120.56/120.94 paramod(
% 120.56/120.94 clause( 190292, [ ~( =( 'c_HOL_Oinverse__class_Odivide'(
% 120.56/120.94 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oone__class_Oone'(
% 120.56/120.94 'tc_Complex_Ocomplex' ), 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex'
% 120.56/120.94 ), 'tc_Complex_Ocomplex' ), 'c_HOL_Ominus__class_Ominus'(
% 120.56/120.94 'c_Power_Opower__class_Opower'( 'c_FFT__Mirabelle_Oroot'( 'v_n' ), 'v_k'
% 120.56/120.94 , 'tc_Complex_Ocomplex' ), 'c_HOL_Oone__class_Oone'(
% 120.56/120.94 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' )
% 120.56/120.94 , 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ) ) ) ] )
% 120.56/120.94 , clause( 171844, [ =( 'c_Power_Opower__class_Opower'(
% 120.56/120.94 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ), X,
% 120.56/120.94 'tc_Complex_Ocomplex' ), 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex'
% 120.56/120.94 ) ) ] )
% 120.56/120.94 , 0, clause( 551, [ ~( =( 'c_HOL_Oinverse__class_Odivide'(
% 120.56/120.94 'c_HOL_Ominus__class_Ominus'( 'c_Power_Opower__class_Opower'(
% 120.56/120.94 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ), 'v_k',
% 120.56/120.94 'tc_Complex_Ocomplex' ), 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex'
% 120.56/120.94 ), 'tc_Complex_Ocomplex' ), 'c_HOL_Ominus__class_Ominus'(
% 120.56/120.94 'c_Power_Opower__class_Opower'( 'c_FFT__Mirabelle_Oroot'( 'v_n' ), 'v_k'
% 120.56/120.94 , 'tc_Complex_Ocomplex' ), 'c_HOL_Oone__class_Oone'(
% 120.56/120.94 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' )
% 120.56/120.94 , 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ) ) ) ] )
% 120.56/120.94 , 0, 4, substitution( 0, [ :=( X, 'v_k' )] ), substitution( 1, [] )).
% 120.56/120.94
% 120.56/120.94
% 120.56/120.94 paramod(
% 120.56/120.94 clause( 190293, [ ~( =( 'c_HOL_Oinverse__class_Odivide'(
% 120.56/120.94 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ),
% 120.56/120.94 'c_HOL_Ominus__class_Ominus'( 'c_Power_Opower__class_Opower'(
% 120.56/120.94 'c_FFT__Mirabelle_Oroot'( 'v_n' ), 'v_k', 'tc_Complex_Ocomplex' ),
% 120.56/120.94 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex'
% 120.56/120.94 ), 'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'(
% 120.56/120.94 'tc_Complex_Ocomplex' ) ) ) ] )
% 120.56/120.94 , clause( 1663, [ =( 'c_HOL_Ominus__class_Ominus'( X, X,
% 120.56/120.94 'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'(
% 120.56/120.94 'tc_Complex_Ocomplex' ) ) ] )
% 120.56/120.94 , 0, clause( 190292, [ ~( =( 'c_HOL_Oinverse__class_Odivide'(
% 120.56/120.94 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oone__class_Oone'(
% 120.56/120.94 'tc_Complex_Ocomplex' ), 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex'
% 120.56/120.94 ), 'tc_Complex_Ocomplex' ), 'c_HOL_Ominus__class_Ominus'(
% 120.56/120.94 'c_Power_Opower__class_Opower'( 'c_FFT__Mirabelle_Oroot'( 'v_n' ), 'v_k'
% 120.56/120.94 , 'tc_Complex_Ocomplex' ), 'c_HOL_Oone__class_Oone'(
% 120.56/120.94 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' )
% 120.56/120.94 , 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ) ) ) ] )
% 120.56/120.94 , 0, 3, substitution( 0, [ :=( X, 'c_HOL_Oone__class_Oone'(
% 120.56/120.94 'tc_Complex_Ocomplex' ) )] ), substitution( 1, [] )).
% 120.56/120.94
% 120.56/120.94
% 120.56/120.94 paramod(
% 120.56/120.94 clause( 190294, [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' )
% 120.56/120.94 , 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ) ) ) ] )
% 120.56/120.94 , clause( 124422, [ =( 'c_HOL_Oinverse__class_Odivide'(
% 120.56/120.94 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ), X,
% 120.56/120.94 'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'(
% 120.56/120.94 'tc_Complex_Ocomplex' ) ) ] )
% 120.56/120.94 , 0, clause( 190293, [ ~( =( 'c_HOL_Oinverse__class_Odivide'(
% 120.56/120.94 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ),
% 120.56/120.94 'c_HOL_Ominus__class_Ominus'( 'c_Power_Opower__class_Opower'(
% 120.56/120.94 'c_FFT__Mirabelle_Oroot'( 'v_n' ), 'v_k', 'tc_Complex_Ocomplex' ),
% 120.56/120.94 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex'
% 120.56/120.94 ), 'tc_Complex_Ocomplex' ), 'c_HOL_Ozero__class_Ozero'(
% 120.56/120.94 'tc_Complex_Ocomplex' ) ) ) ] )
% 120.56/120.94 , 0, 2, substitution( 0, [ :=( X, 'c_HOL_Ominus__class_Ominus'(
% 120.56/120.94 'c_Power_Opower__class_Opower'( 'c_FFT__Mirabelle_Oroot'( 'v_n' ), 'v_k'
% 120.56/120.94 , 'tc_Complex_Ocomplex' ), 'c_HOL_Oone__class_Oone'(
% 120.56/120.94 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ) )] ), substitution( 1, [] )
% 120.56/120.94 ).
% 120.56/120.94
% 120.56/120.94
% 120.56/120.94 eqrefl(
% 120.56/120.94 clause( 190295, [] )
% 120.56/120.94 , clause( 190294, [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex'
% 120.56/120.94 ), 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ) ) ) ] )
% 120.56/120.94 , 0, substitution( 0, [] )).
% 120.56/120.94
% 120.56/120.94
% 120.56/120.94 subsumption(
% 120.56/120.94 clause( 182577, [] )
% 120.56/120.94 , clause( 190295, [] )
% 120.56/120.94 , substitution( 0, [] ), permutation( 0, [] ) ).
% 120.56/120.94
% 120.56/120.94
% 120.56/120.94 end.
% 120.56/120.94
% 120.56/120.94 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 120.59/120.95
% 120.59/120.95 Memory use:
% 120.59/120.95
% 120.59/120.95 space for terms: 6013488
% 120.59/120.95 space for clauses: 7594022
% 120.59/120.95
% 120.59/120.95
% 120.59/120.95 clauses generated: 1331689
% 120.59/120.95 clauses kept: 182578
% 120.59/120.95 clauses selected: 2184
% 120.59/120.95 clauses deleted: 24622
% 120.59/120.95 clauses inuse deleted: 611
% 120.59/120.95
% 120.59/120.95 subsentry: 7309296
% 120.59/120.95 literals s-matched: 4515942
% 120.59/120.95 literals matched: 4077479
% 120.59/120.95 full subsumption: 2598616
% 120.59/120.95
% 120.59/120.95 checksum: -839686983
% 120.59/120.95
% 120.59/120.95
% 120.59/120.95 Bliksem ended
%------------------------------------------------------------------------------