TSTP Solution File: SWV635-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV635-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n012.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 16:27:19 EDT 2022
% Result : Timeout 300.04s 300.43s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV635-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n012.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Wed Jun 15 17:41:39 EDT 2022
% 0.13/0.35 % CPUTime :
% 1.01/1.42 *** allocated 10000 integers for termspace/termends
% 1.01/1.42 *** allocated 10000 integers for clauses
% 1.01/1.42 *** allocated 10000 integers for justifications
% 1.01/1.42 *** allocated 15000 integers for termspace/termends
% 1.01/1.42 *** allocated 22500 integers for termspace/termends
% 1.01/1.42 *** allocated 33750 integers for termspace/termends
% 1.01/1.42 Bliksem 1.12
% 1.01/1.42
% 1.01/1.42
% 1.01/1.42 Automatic Strategy Selection
% 1.01/1.42
% 1.01/1.42 Clauses:
% 1.01/1.42 [
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.01/1.42 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.42 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.01/1.42 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 1.01/1.42 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 1.01/1.42 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 1.01/1.42 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.42 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 1.01/1.42 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.42 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.42 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 1.01/1.42 , 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 1.01/1.42 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X
% 1.01/1.42 ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( U, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), U, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.01/1.42 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 1.01/1.42 ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.01/1.42 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.01/1.42 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( Z,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( Y,
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'( Z,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.01/1.42 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 1.01/1.42 ) ) ],
% 1.01/1.42 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.01/1.42 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 1.01/1.42 ) ) ],
% 1.01/1.42 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.01/1.42 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 1.01/1.42 , X ) ) ],
% 1.01/1.42 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.01/1.42 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 1.01/1.42 , X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 Y, T, X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.01/1.42 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 Y, T, X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.01/1.42 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 1.01/1.42 X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 Z, T, X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.01/1.42 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 Z, T, X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.01/1.42 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 1.01/1.42 X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.01/1.42 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.01/1.42 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.01/1.42 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.01/1.42 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 1.01/1.42 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 1.01/1.42 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 1.01/1.42 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.01/1.42 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 1.01/1.42 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.01/1.42 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.01/1.42 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.01/1.42 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.01/1.42 , X ), 'c_lessequals'( Z, Y, X ) ],
% 1.01/1.42 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 1.01/1.42 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 1.01/1.42 , X ), 'c_lessequals'( Y, Y, X ) ],
% 1.01/1.42 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.01/1.42 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 1.01/1.42 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.01/1.42 , X ), 'c_lessequals'( Z, Y, X ) ],
% 1.01/1.42 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.01/1.42 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ),
% 1.01/1.42 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) )
% 1.01/1.42 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.42 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.42 ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.01/1.42 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Z,
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), T, X ) ), =( T,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.01/1.42 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), Z, X ) ), =( Z,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 1.01/1.42 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.01/1.42 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 1.01/1.42 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.01/1.42 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 1.01/1.42 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.01/1.42 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 1.01/1.42 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.01/1.42 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.42 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.42 ), X ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.42 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, Z, X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~( 'c_lessequals'( Y,
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.01/1.42 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 1.01/1.42 'c_HOL_Osgn__class_Osgn'( Z, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.01/1.42 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.01/1.42 , ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 1.01/1.42 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 1.01/1.42 , X ) ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.01/1.42 ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 1.01/1.42 ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.01/1.42 ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.01/1.42 ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.01/1.42 X ) ), =( Y, 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.42 ), X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 1.01/1.42 ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.01/1.42 ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 1.01/1.42 ],
% 1.01/1.42 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~( =(
% 1.01/1.42 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.01/1.42 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.01/1.42 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.01/1.42 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.01/1.42 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.01/1.42 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.01/1.42 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.01/1.42 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.01/1.42 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.01/1.42 X ) ), ~( =( Y, 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ), =( Z,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.01/1.42 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.01/1.42 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Osgn__if'( X ) ), =(
% 1.01/1.42 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.01/1.42 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~( =(
% 1.01/1.42 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.01/1.42 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 1.01/1.42 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.01/1.42 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 1.01/1.42 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 1.01/1.42 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 1.01/1.42 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 1.01/1.42 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y
% 1.01/1.42 , X ), X ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y
% 1.01/1.42 , X ), X ) ],
% 1.01/1.42 [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_Suc'( X ), 'tc_nat' ),
% 1.01/1.42 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.01/1.42 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ), ~(
% 1.01/1.42 'c_Parity_Oeven__odd__class_Oeven'( 'c_Suc'( X ), 'tc_nat' ) ) ],
% 1.01/1.42 [ 'c_HOL_Oord__class_Oless'( X, 'c_Int_OMin', 'tc_Int_Oint' ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OMin',
% 1.01/1.42 'tc_Int_Oint' ) ) ],
% 1.01/1.42 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OMin',
% 1.01/1.42 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Int_OMin',
% 1.01/1.42 'tc_Int_Oint' ) ) ],
% 1.01/1.42 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'c_Suc'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, 'c_Suc'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.01/1.42 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'c_Suc'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, 'c_Suc'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.42 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 1.01/1.42 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.01/1.42 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.01/1.42 'c_Power_Opower__class_Opower'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 1.01/1.42 , 'c_Power_Opower__class_Opower'( Y, Z, X ) ), ~(
% 1.01/1.42 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.01/1.42 ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 1.01/1.42 ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.01/1.42 ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 1.01/1.42 ), X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.01/1.42 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.01/1.42 Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X )
% 1.01/1.42 , 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.01/1.42 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.01/1.42 ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.01/1.42 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 1.01/1.42 ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.01/1.42 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 1.01/1.42 ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.01/1.42 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.01/1.42 ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.01/1.42 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.01/1.42 ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.01/1.42 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 1.01/1.42 ) ) ],
% 1.01/1.42 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 1.01/1.42 'tc_nat' ), 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.01/1.42 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.01/1.42 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( X,
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.01/1.42 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.01/1.42 ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.01/1.42 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.01/1.42 ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.01/1.42 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 1.01/1.42 ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~(
% 1.01/1.42 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.01/1.42 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), 'c_Suc'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.01/1.42 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y
% 1.01/1.42 , X ), Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.01/1.42 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 1.01/1.42 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.01/1.42 Y, 'tc_nat' ) ), 'tc_nat' ) ],
% 1.01/1.42 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.01/1.42 X, 'tc_nat' ) ), 'tc_nat' ) ],
% 1.01/1.42 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.01/1.42 Y, 'tc_nat' ) ), 'tc_nat' ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.01/1.42 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 1.01/1.42 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.01/1.42 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z, X )
% 1.01/1.42 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.42 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.01/1.42 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.42 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.01/1.42 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 1.01/1.42 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), Y ) ],
% 1.01/1.42 [ ~( 'class_Nat_Osemiring__char__0'( X ) ), ~( =(
% 1.01/1.42 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 1.01/1.42 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ), =( Y, Z ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.01/1.42 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.01/1.42 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.01/1.42 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.01/1.42 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X ), Y, 'tc_nat' ),
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.01/1.42 'tc_nat' ), 'tc_nat' ) ) ],
% 1.01/1.42 [ =( 'c_HOL_Otimes__class_Otimes'( X, 'c_Suc'( Y ), 'tc_nat' ),
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.01/1.42 'tc_nat' ), 'tc_nat' ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.01/1.42 ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ),
% 1.01/1.42 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 1.01/1.42 'c_HOL_Oabs__class_Oabs'( T, X ), X ), X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.01/1.42 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.01/1.42 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.01/1.42 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ), =( Y, X ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, X, 'tc_Int_Oint' ) ],
% 1.01/1.42 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 1.01/1.42 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.01/1.42 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 1.01/1.42 T, Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.01/1.42 'c_HOL_Oabs__class_Oabs'( T, X ), X ) ), ~(
% 1.01/1.42 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.01/1.42 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 1.01/1.42 ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.01/1.42 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 1.01/1.42 ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.01/1.42 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 1.01/1.42 X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.01/1.42 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 1.01/1.42 ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.01/1.42 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 1.01/1.42 X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.01/1.42 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 1.01/1.42 ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.01/1.42 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 1.01/1.42 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ],
% 1.01/1.42 [ ~( =( X, 'c_Suc'( X ) ) ) ],
% 1.01/1.42 [ ~( =( 'c_Suc'( X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 1.01/1.42 T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X ) ),
% 1.01/1.42 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 1.01/1.42 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 1.01/1.42 'tc_nat' ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.42 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 1.01/1.42 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ) ],
% 1.01/1.42 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'c_Suc'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.01/1.42 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'c_Suc'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, 'c_Suc'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, 'c_Suc'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.01/1.42 ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'( Z,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.01/1.42 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Osgn__class_Osgn'( Y, X ), X ),
% 1.01/1.42 'c_HOL_Osgn__class_Osgn'( Y, X ) ) ],
% 1.01/1.42 [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.01/1.42 'tc_nat' ), 'tc_nat' ), 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' )
% 1.01/1.42 , 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.01/1.42 [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.01/1.42 'tc_nat' ), 'tc_nat' ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Y,
% 1.01/1.42 'tc_nat' ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ),
% 1.01/1.42 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), ~(
% 1.01/1.42 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.01/1.42 'tc_nat' ), 'tc_nat' ) ) ],
% 1.01/1.42 [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ), =(
% 1.01/1.42 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 1.01/1.42 'c_HOL_Osgn__class_Osgn'( Z, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.01/1.42 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'( Y, Y
% 1.01/1.42 , X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.01/1.42 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 1.01/1.42 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.01/1.42 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 1.01/1.42 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 1.01/1.42 ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.01/1.42 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.01/1.42 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.01/1.42 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.01/1.42 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.01/1.42 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.01/1.42 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.01/1.42 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.01/1.42 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, T, X )
% 1.01/1.42 , 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.01/1.42 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.01/1.42 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.01/1.42 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.01/1.42 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.01/1.42 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.01/1.42 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 1.01/1.42 ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ), U, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.01/1.42 , T, X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.42 Y, T, X ), Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.42 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.42 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.42 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ), X
% 1.01/1.42 ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.42 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ), Z
% 1.01/1.42 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oabs__class_Oabs'(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ), X ),
% 1.01/1.42 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.01/1.42 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.01/1.42 ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.01/1.42 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ),
% 1.01/1.42 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.01/1.42 ), X ) ), 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.01/1.42 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ),
% 1.01/1.42 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.01/1.42 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Z, Y, X
% 1.01/1.42 ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.01/1.42 Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.01/1.42 ~( 'c_lessequals'( 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( T ), X ),
% 1.01/1.42 'c_Power_Opower__class_Opower'( Z, 'c_Suc'( T ), X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.01/1.42 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), 'c_lessequals'( Z,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_Power_Opower__class_Opower'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.42 ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'(
% 1.01/1.42 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), X ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 1.01/1.42 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ),
% 1.01/1.42 'c_Power_Opower__class_Opower'( T, 'c_Suc'( Z ), X ) ) ), =( Y, T ), ~(
% 1.01/1.42 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.01/1.42 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'(
% 1.01/1.42 Z, 'tc_nat' ) ), ~( 'c_lessequals'( 'c_Power_Opower__class_Opower'( Y, Z
% 1.01/1.42 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.01/1.42 ), X ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.01/1.42 ), X ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.01/1.42 'class_OrderedGroup_Omonoid__mult'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.01/1.42 ), X ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.01/1.42 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 1.01/1.42 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.01/1.42 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.01/1.42 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.01/1.42 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oabs__class_Oabs'(
% 1.01/1.42 Y, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.01/1.42 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.01/1.42 ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y
% 1.01/1.42 ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.01/1.42 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.01/1.42 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.01/1.42 [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), =(
% 1.01/1.42 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.01/1.42 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.01/1.42 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ), Y, X ),
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ) ),
% 1.01/1.42 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ), X ),
% 1.01/1.42 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ],
% 1.01/1.42 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.01/1.42 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.01/1.42 [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 'tc_nat' ), 'tc_nat' ) ],
% 1.01/1.42 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.01/1.42 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.01/1.42 [ ~( =( X, 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.01/1.42 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), X ) ), =( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.01/1.42 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 1.01/1.42 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 1.01/1.42 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.01/1.42 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.01/1.42 [ =( X, 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 'tc_nat' ), 'tc_nat' ) ) ],
% 1.01/1.42 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.01/1.42 ), 'tc_nat' ), X ) ],
% 1.01/1.42 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.01/1.42 , X, 'tc_nat' ), X ) ],
% 1.01/1.42 [ =( 'c_Int_OBit1'( 'c_Int_OMin' ), 'c_Int_OMin' ) ],
% 1.01/1.42 [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OMin' ) ), =( X, 'c_Int_OMin' ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ ~( =( 'c_Int_OMin', 'c_Int_OBit1'( X ) ) ), =( 'c_Int_OMin', X ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OBit1'( Y ),
% 1.01/1.42 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ) ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OBit1'( Y ),
% 1.01/1.42 'tc_Int_Oint' ) ) ],
% 1.01/1.42 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OBit1'( Y ),
% 1.01/1.42 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ) ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OBit1'( Y ),
% 1.01/1.42 'tc_Int_Oint' ) ) ],
% 1.01/1.42 [ =( 'c_Int_OMin', 'c_Int_OBit1'( 'c_Int_OMin' ) ) ],
% 1.01/1.42 [ ~( =( 'c_Int_OPls', 'c_Int_OMin' ) ) ],
% 1.01/1.42 [ ~( =( 'c_Int_OMin', 'c_Int_OPls' ) ) ],
% 1.01/1.42 [ ~( 'c_HOL_Oord__class_Oless'( 'c_Int_OPls', 'c_Int_OPls',
% 1.01/1.42 'tc_Int_Oint' ) ) ],
% 1.01/1.42 [ ~( =( 'c_Int_OMin', 'c_Int_OBit0'( X ) ) ) ],
% 1.01/1.42 [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OMin' ) ) ],
% 1.01/1.42 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OBit0'( X ), 'c_Int_OBit0'( Y ),
% 1.01/1.42 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ) ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_Int_OBit0'( X ), 'c_Int_OBit0'( Y ),
% 1.01/1.42 'tc_Int_Oint' ) ) ],
% 1.01/1.42 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OBit0'( X ), 'c_Int_OBit0'( Y ),
% 1.01/1.42 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ) ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_Int_OBit0'( X ), 'c_Int_OBit0'( Y ),
% 1.01/1.42 'tc_Int_Oint' ) ) ],
% 1.01/1.42 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Int_Onumber__class_Onumber__of'( X,
% 1.01/1.42 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' )
% 1.01/1.42 , 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ) ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, 'c_Int_OPls', 'tc_Int_Oint' ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( X, 'c_Int_OPls', 'tc_Int_Oint' ) ],
% 1.01/1.42 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Int_Onumber__class_Onumber__of'( X,
% 1.01/1.42 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' )
% 1.01/1.42 , 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( X, 'c_Int_OPls', 'tc_Int_Oint' ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.42 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.01/1.42 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.42 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 1.01/1.42 Z, T, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.01/1.42 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'( Y, Z, X ), X )
% 1.01/1.42 , 'c_Power_Opower__class_Opower'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X
% 1.01/1.42 ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.01/1.42 'c_Power_Opower__class_Opower'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ), X ),
% 1.01/1.42 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.42 , 'tc_nat' ), X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.01/1.42 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 1.01/1.42 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.01/1.42 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.01/1.42 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 1.01/1.42 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 1.01/1.42 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), Z ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( Z, Y, X ), X ), Z ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.01/1.42 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 1.01/1.42 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.01/1.42 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.01/1.42 ), X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.01/1.42 Y, X ), Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.42 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.01/1.42 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.01/1.42 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.42 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ), Z ) ],
% 1.01/1.42 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.01/1.42 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 1.01/1.42 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.42 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.01/1.42 , X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.42 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.01/1.42 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_lessequals'( Z, Y, X )
% 1.01/1.42 ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.01/1.42 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.01/1.42 Z, X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.42 Y, Z, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.01/1.42 , Z ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( T, X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.42 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 1.01/1.42 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.42 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 1.01/1.42 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.42 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 1.01/1.42 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.42 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 1.01/1.42 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.01/1.42 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ),
% 1.01/1.42 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), ~(
% 1.01/1.42 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Oplus__class_Oplus'( Y, X,
% 1.01/1.42 'tc_nat' ), 'tc_nat' ) ) ],
% 1.01/1.42 [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.01/1.42 'tc_nat' ), 'tc_nat' ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Y,
% 1.01/1.42 'tc_nat' ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.01/1.42 'tc_nat' ), 'tc_nat' ), 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' )
% 1.01/1.42 , 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.01/1.42 [ 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ), ~(
% 1.01/1.42 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), ~(
% 1.01/1.42 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.01/1.42 'tc_nat' ), 'tc_nat' ) ) ],
% 1.01/1.42 [ 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ), ~(
% 1.01/1.42 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), ~(
% 1.01/1.42 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Oplus__class_Oplus'( Y, X,
% 1.01/1.42 'tc_nat' ), 'tc_nat' ) ) ],
% 1.01/1.42 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.01/1.42 Y, 'tc_nat' ), 'tc_nat' ) ), 'c_Parity_Oeven__odd__class_Oeven'( Y,
% 1.01/1.42 'tc_nat' ), ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.01/1.42 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.01/1.42 Y, 'tc_nat' ), 'tc_nat' ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Y,
% 1.01/1.42 'tc_nat' ) ), 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.01/1.42 [ 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ),
% 1.01/1.42 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ),
% 1.01/1.42 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.01/1.42 'tc_nat' ), 'tc_nat' ) ],
% 1.01/1.42 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ), ~(
% 1.01/1.42 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ),
% 1.01/1.42 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Oplus__class_Oplus'( Y, X,
% 1.01/1.42 'tc_nat' ), 'tc_nat' ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.01/1.42 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Otimes__class_Otimes'( Y,
% 1.01/1.42 'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, U,
% 1.01/1.42 X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.01/1.42 'c_HOL_Oabs__class_Oabs'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X
% 1.01/1.42 ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.01/1.42 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 1.01/1.42 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~(
% 1.01/1.42 'c_lessequals'( Y, Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.01/1.42 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 1.01/1.42 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~(
% 1.01/1.42 'c_lessequals'( Y, Z, X ) ) ],
% 1.01/1.42 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ) ) ), =( X, Z ) ],
% 1.01/1.42 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ) ) ), =( Y, Z ) ],
% 1.01/1.42 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ) ) ), =( Y, Z ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.01/1.42 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 1.01/1.42 X ) ) ), =( Z, T ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 1.01/1.42 X ) ) ), =( Z, T ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 1.01/1.42 X ) ) ), =( Y, T ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.01/1.42 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.42 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.01/1.42 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Suc'( X ), Y, 'tc_nat' ),
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 1.01/1.42 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_Suc'( Y ), X ),
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 1.01/1.42 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ) ) ],
% 1.01/1.42 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( Y, 'c_Suc'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.01/1.42 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( X,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, 'c_Suc'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.01/1.42 [ =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.01/1.42 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =(
% 1.01/1.42 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 1.01/1.42 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.01/1.42 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.01/1.42 , 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ), =(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( Y, T, X ), U ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.01/1.42 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.01/1.42 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 1.01/1.42 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.01/1.42 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.01/1.42 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.01/1.42 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.42 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OMin', 'c_Int_OPls', 'tc_Int_Oint' )
% 1.01/1.42 ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.01/1.42 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ),
% 1.01/1.42 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 1.01/1.42 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_Suc'(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ) ],
% 1.01/1.42 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_Suc'( Y ), 'tc_nat' ), 'c_Suc'(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ) ],
% 1.01/1.42 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OMin', X, 'tc_Int_Oint' ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_Int_OMin', 'c_Int_OBit0'( X ),
% 1.01/1.42 'tc_Int_Oint' ) ) ],
% 1.01/1.42 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OMin', 'c_Int_OBit0'( X ),
% 1.01/1.42 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( 'c_Int_OMin', X,
% 1.01/1.42 'tc_Int_Oint' ) ) ],
% 1.01/1.42 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OMin', X, 'tc_Int_Oint' ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_Int_OMin', 'c_Int_OBit1'( X ),
% 1.01/1.42 'tc_Int_Oint' ) ) ],
% 1.01/1.42 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OMin', 'c_Int_OBit1'( X ),
% 1.01/1.42 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( 'c_Int_OMin', X,
% 1.01/1.42 'tc_Int_Oint' ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 1.01/1.42 X ) ) ],
% 1.01/1.42 [ =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_nat' ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 1.01/1.42 X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 1.01/1.42 X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.42 ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.42 ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( Z,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.42 ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.42 ), X ) ) ],
% 1.01/1.42 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 1.01/1.42 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.01/1.42 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.01/1.42 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.01/1.42 'c_lessequals'( Y, 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ],
% 1.01/1.42 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( X,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.01/1.42 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( Y, 'c_Suc'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, 'c_Suc'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.01/1.42 [ =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.01/1.42 ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 1.01/1.42 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_Int_Oint' ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.01/1.42 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.01/1.42 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.01/1.42 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.01/1.42 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.42 [ ~( 'c_HOL_Oord__class_Oless'( 'c_Int_OPls', 'c_Int_OMin',
% 1.01/1.42 'tc_Int_Oint' ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.01/1.42 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.01/1.42 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.01/1.42 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.01/1.42 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.42 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 1.01/1.42 X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.01/1.42 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 1.01/1.42 [ ~( 'c_HOL_Oord__class_Oless'( 'c_Int_OMin', 'c_Int_OMin',
% 1.01/1.42 'tc_Int_Oint' ) ) ],
% 1.01/1.42 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.42 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~(
% 1.01/1.42 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y,
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( Z, U, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.01/1.42 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.01/1.42 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.01/1.42 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 1.01/1.42 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.01/1.42 , 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ), 'c_Suc'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.01/1.42 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oabs__class_Oabs'(
% 1.01/1.42 Y, X ), X ) ],
% 1.01/1.42 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.01/1.42 'c_lessequals'( Z, Y, X ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.42 ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.01/1.42 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ), =( Z,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.01/1.42 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), =( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_lessequals'(
% 1.01/1.42 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oabs__class_Oabs'(
% 1.01/1.42 'c_Power_Opower__class_Opower'( 'c_Int_Onumber__class_Onumber__of'(
% 1.01/1.42 'c_Int_OMin', X ), Y, X ), X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.01/1.42 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ), Y, X ),
% 1.01/1.42 'c_HOL_Oone__class_Oone'( X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Y
% 1.01/1.42 , 'tc_nat' ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ), Y, X ),
% 1.01/1.42 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.42 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.01/1.42 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Y
% 1.01/1.42 , 'tc_nat' ), 'tc_nat' ), 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 X ), X ), ~( 'c_lessequals'( 'c_Power_Opower__class_Opower'( Z,
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.01/1.42 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.42 , 'tc_nat' ), 'tc_nat' ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 X ), 'c_Power_Opower__class_Opower'( Y,
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ), X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y,
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ), X ), X ), ~(
% 1.01/1.42 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ),
% 1.01/1.42 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.42 , 'tc_nat' ), 'tc_nat' ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y,
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ), X ), X ), ~(
% 1.01/1.42 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.42 , 'tc_nat' ), 'tc_nat' ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ), 'tc_nat' ) ), ~(
% 1.01/1.42 'c_lessequals'( 'c_Power_Opower__class_Opower'( Y,
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ), X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.42 [ =( 'c_Suc'( 'c_Suc'( 'c_Suc'( X ) ) ), 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.01/1.42 'c_Int_OPls' ) ), 'tc_nat' ), X, 'tc_nat' ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.01/1.42 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 'c_HOL_Osgn__class_Osgn'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.01/1.42 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 1.01/1.42 [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.42 'c_Suc'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), X, 'tc_nat'
% 1.01/1.42 ), 'tc_nat' ) ],
% 1.01/1.42 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( 'c_Suc'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( 'c_Suc'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), X, 'tc_nat' ) ), 'tc_nat' ) )
% 1.01/1.42 ],
% 1.01/1.42 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat'
% 1.01/1.42 ), 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), 'tc_nat' ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 1.01/1.42 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Z, X, 'tc_nat' ),
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.01/1.42 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat'
% 1.01/1.42 ), 'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 1.01/1.42 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.01/1.42 'tc_nat' ), X, 'tc_nat' ) ) ],
% 1.01/1.42 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.01/1.42 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 1.01/1.42 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat'
% 1.01/1.42 ), 'c_HOL_Oplus__class_Oplus'( Z, T, 'tc_nat' ), 'tc_nat' ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, T, 'tc_nat' ) ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 1.01/1.42 [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 1.01/1.42 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X ), 'tc_nat' ) )
% 1.01/1.42 , 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 1.01/1.42 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ) )
% 1.01/1.42 , 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ],
% 1.01/1.42 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( Z, T, 'tc_nat' ) ) ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 X, T, 'tc_nat' ) ],
% 1.01/1.42 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 1.01/1.42 [ ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, 'c_Suc'( X ), 'tc_nat' ) ) ],
% 1.01/1.42 [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 X, 'c_Suc'( X ), 'tc_nat' ) ],
% 1.01/1.42 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ) ) ],
% 1.01/1.42 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( Y ), 'tc_nat' ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.01/1.42 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 1.01/1.42 [ 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( X ), 'tc_nat' ) ],
% 1.01/1.42 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 1.01/1.42 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 1.01/1.42 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) )
% 1.01/1.42 ],
% 1.01/1.42 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 1.01/1.42 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) )
% 1.01/1.42 ],
% 1.01/1.42 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ),
% 1.01/1.42 Y, 'tc_nat' ) ) ],
% 1.01/1.42 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 1.01/1.42 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) )
% 1.01/1.42 ],
% 1.01/1.42 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 1.01/1.42 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) )
% 1.01/1.42 ],
% 1.01/1.42 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), Y, 'tc_nat' ), =( 'c_Suc'( X
% 1.01/1.42 ), Y ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.01/1.42 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.01/1.42 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ) ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.01/1.42 [ 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ),
% 1.01/1.42 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), ~(
% 1.01/1.42 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Otimes__class_Otimes'( Y, X,
% 1.01/1.42 'tc_nat' ), 'tc_nat' ) ) ],
% 1.01/1.42 [ ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.01/1.42 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z, T, 'tc_nat' ), 'tc_nat' ),
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, T, 'tc_nat'
% 1.01/1.42 ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ) ) ), =( Y
% 1.01/1.42 , T ), =( X, Z ) ],
% 1.01/1.42 [ ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.01/1.42 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z, T, 'tc_nat' ), 'tc_nat' ),
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, T, 'tc_nat'
% 1.01/1.42 ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ) ) ), =( Y
% 1.01/1.42 , T ), =( X, Z ) ],
% 1.01/1.42 [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Otimes__class_Otimes'( X, Y
% 1.01/1.42 , 'tc_nat' ), 'tc_nat' ), ~( 'c_Parity_Oeven__odd__class_Oeven'( X,
% 1.01/1.42 'tc_nat' ) ) ],
% 1.01/1.42 [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Otimes__class_Otimes'( X, Y
% 1.01/1.42 , 'tc_nat' ), 'tc_nat' ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Y,
% 1.01/1.42 'tc_nat' ) ) ],
% 1.01/1.42 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.01/1.42 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.01/1.42 [ =( 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 1.01/1.42 'tc_nat' ), 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.01/1.42 [ ~( =( 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X ), Y, 'tc_nat' ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X ), Z, 'tc_nat' ) ) ), =( Y, Z )
% 1.01/1.42 ],
% 1.01/1.42 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.01/1.42 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat'
% 1.01/1.42 ), 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.01/1.42 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.01/1.42 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat'
% 1.01/1.42 ), 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.01/1.42 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.01/1.42 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z,
% 1.01/1.42 Y, 'tc_nat' ), T, 'tc_nat' ), 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat'
% 1.01/1.42 ), Y, 'tc_nat' ), T, 'tc_nat' ) ) ],
% 1.01/1.42 [ ~( =( 'c_Complex_Oii', 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex'
% 1.01/1.42 ) ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.42 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~(
% 1.01/1.42 'c_lessequals'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.42 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.01/1.42 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.42 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~(
% 1.01/1.42 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.42 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~(
% 1.01/1.42 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 1.01/1.42 , 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Y
% 1.01/1.42 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.01/1.42 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.01/1.42 'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.01/1.42 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.01/1.42 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), Z, X ) ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, T, X ) ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( T, Z, X ) )
% 1.01/1.42 ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.42 ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.01/1.42 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.01/1.42 ~( 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.42 ), X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.42 , X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 1.01/1.42 ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.01/1.42 , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.01/1.42 ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.42 ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.42 ), X ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 X ), X ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'(
% 1.01/1.42 Z, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.01/1.42 ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.42 , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.01/1.42 , X ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.42 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.01/1.42 ), X ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.42 ), Y, X ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'(
% 1.01/1.42 Z, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.01/1.42 ), X ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T,
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.42 ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.01/1.42 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ),
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.42 ), X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.42 , X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.01/1.42 ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.01/1.42 , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.01/1.42 ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.42 ), X ), Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.42 , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.01/1.42 , X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T,
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ), ~(
% 1.01/1.42 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.42 ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ), ~(
% 1.01/1.42 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.42 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~(
% 1.01/1.42 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.01/1.42 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( 'c_Suc'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.01/1.42 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X, 'tc_nat' )
% 1.01/1.42 ), 'tc_nat' ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.01/1.42 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.01/1.42 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.01/1.42 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.01/1.42 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.01/1.42 Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.01/1.42 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.01/1.42 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.42 , T, X ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.01/1.42 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.01/1.42 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.42 , T, X ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 1.01/1.42 ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.01/1.42 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ),
% 1.01/1.42 ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X
% 1.01/1.42 ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.01/1.42 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.01/1.42 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.01/1.42 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X
% 1.01/1.42 ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.01/1.42 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.01/1.42 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 1.01/1.42 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.42 , Z, X ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.01/1.42 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 1.01/1.42 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.42 , Z, X ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.01/1.42 ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.01/1.42 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.01/1.42 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 1.01/1.42 , Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.01/1.42 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.01/1.42 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.42 Y, T, X ), Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.01/1.42 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.01/1.42 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.42 Y, T, X ), Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.01/1.42 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.01/1.42 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 1.01/1.42 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.01/1.42 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 1.01/1.42 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.01/1.42 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.01/1.42 X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 X ), T, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.01/1.42 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.01/1.42 Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 X ), Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.01/1.42 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.01/1.42 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.01/1.42 X ), Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.01/1.42 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.01/1.42 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 1.01/1.42 Z, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.01/1.42 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z,
% 1.01/1.42 X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.01/1.42 Z, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 1.01/1.42 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 1.01/1.42 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, T,
% 1.01/1.42 X ), Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.01/1.42 , Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.01/1.42 , T, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.42 , Z, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.01/1.42 , T, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y
% 1.01/1.42 , X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.01/1.42 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.01/1.42 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.01/1.42 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 1.01/1.42 , X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.01/1.42 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.01/1.42 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 1.01/1.42 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 1.01/1.42 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =(
% 1.01/1.42 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.01/1.42 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ), =( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.01/1.42 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ), =( Z,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.01/1.42 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.01/1.42 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ), Z ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.42 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.42 , X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.42 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.42 , X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.42 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.01/1.42 Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.42 , X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.42 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.01/1.42 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.42 , X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.01/1.42 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.01/1.42 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.01/1.42 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.01/1.42 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.42 , Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.01/1.42 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.01/1.42 , T, X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.01/1.42 ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.42 , Z, X ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.01/1.42 ), ~( 'c_lessequals'( T, Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.01/1.42 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.42 Z, T, X ), X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ), =( T, U ), =( Z,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.01/1.42 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.01/1.42 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.01/1.42 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.42 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.01/1.42 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.42 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.42 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.42 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.42 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.01/1.42 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.42 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.01/1.42 , X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.42 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 1.01/1.42 , X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.42 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.01/1.42 , X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.42 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 1.01/1.42 , X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.42 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.01/1.42 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.01/1.42 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.42 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.01/1.42 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.01/1.42 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.42 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.42 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.01/1.42 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.01/1.42 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.01/1.42 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.01/1.42 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.01/1.42 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 1.01/1.42 , X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.01/1.42 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.01/1.42 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =(
% 1.01/1.42 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.42 ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), =( U,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.42 ), =( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.42 , U, X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( U,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 1.01/1.42 , U, X ), 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.01/1.42 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 X ), 'c_HOL_Oinverse__class_Odivide'( Z,
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.01/1.42 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.01/1.42 ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.01/1.42 X ), 'c_HOL_Oinverse__class_Odivide'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.42 , X ) ) ), =( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.01/1.42 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.01/1.42 , 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), ~( =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.01/1.42 Z, X ) ) ), =( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.01/1.42 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( Y
% 1.01/1.42 , X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.42 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.42 ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( T
% 1.01/1.42 , X ), X ), Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.42 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.01/1.42 ), X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.42 Y, 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), T, X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'( Y,
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( T, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.42 , X ), X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.01/1.42 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 'c_lessequals'(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.42 ), X ), Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.42 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), T, X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.01/1.42 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ),
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.42 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ), ~(
% 1.01/1.42 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.42 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.42 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.01/1.42 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.01/1.43 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), T, X ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.01/1.43 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.43 ), X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.43 , X ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.43 ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ),
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.43 , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.01/1.43 , X ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.43 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.01/1.43 ), X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.01/1.43 , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.01/1.43 ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.43 ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.43 ), X ), Z, X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.01/1.43 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 1.01/1.43 , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.43 X ), T, X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, T,
% 1.01/1.43 X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.43 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.43 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T,
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ), ~(
% 1.01/1.43 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.01/1.43 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.43 ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ), ~( 'c_lessequals'(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.43 ), X ), Z, X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.43 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~(
% 1.01/1.43 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 Y, 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), T, X ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.01/1.43 ), X ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T,
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.43 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.43 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T,
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ),
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.43 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.43 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'( Z,
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( T
% 1.01/1.43 , X ), X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.01/1.43 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.43 ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ),
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.43 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ),
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.43 , Z, X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.01/1.43 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.01/1.43 , T, X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.01/1.43 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.43 , Z, X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.43 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X
% 1.01/1.43 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 1.01/1.43 ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.43 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.43 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.43 X ), T, X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.43 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( T, Z, X
% 1.01/1.43 ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.01/1.43 ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.43 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.43 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Z,
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Y,
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oabs__class_Oabs'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.43 ), X ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.43 ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.01/1.43 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.01/1.43 ~( 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.01/1.43 , 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ),
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.01/1.43 ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.01/1.43 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.01/1.43 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 1.01/1.43 , 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.01/1.43 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.43 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.43 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.43 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.43 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.43 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T,
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber'( X ) ), ~( =( 'c_HOL_Oinverse__class_Odivide'( Y, Z,
% 1.01/1.43 X ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), =( Y,
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( T, X )
% 1.01/1.43 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.01/1.43 , Z, X ), Z, X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), =( Z,
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber'( X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.43 , X ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y ), =(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.43 ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber'( X ) ), =( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.43 , X ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), =(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.43 ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber'( X ) ), =( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.01/1.43 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), Z, X ) ), =( Z,
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.01/1.43 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), Z, X ),
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.01/1.43 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), Z, X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.01/1.43 X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ), =(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.01/1.43 , T, X ), Z ), =( T, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber'( X ) ), =( Y, 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.01/1.43 ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), =(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.43 ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.01/1.43 ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y ), =(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.43 ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber'( X ) ), =( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.01/1.43 ), X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.01/1.43 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ),
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.01/1.43 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.01/1.43 ,
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 1.01/1.43 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.01/1.43 ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 1.01/1.43 ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.43 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.01/1.43 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.01/1.43 ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.43 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.01/1.43 ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 1.01/1.43 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Osgn__if'( X ) ), =(
% 1.01/1.43 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =(
% 1.01/1.43 Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y, X ), ~( 'c_lessequals'( Z,
% 1.01/1.43 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X ), ~( 'c_lessequals'( Y,
% 1.01/1.43 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.43 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), =( Y,
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'(
% 1.01/1.43 Z, 'tc_nat' ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.43 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ),
% 1.01/1.43 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.01/1.43 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 1.01/1.43 Z, T, X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.01/1.43 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Z, Y, X ),
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.01/1.43 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.01/1.43 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.01/1.43 ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =(
% 1.01/1.43 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.01/1.43 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.01/1.43 ) ],
% 1.01/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 1.01/1.43 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 1.01/1.43 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.01/1.43 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.01/1.43 ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ), X ),
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.43 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( Y ), X ),
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.01/1.43 ), X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ), Y, X ),
% 1.01/1.43 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ],
% 1.01/1.43 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 Y, 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ), X ),
% 1.01/1.43 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.01/1.43 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ), X ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.01/1.43 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( Y ), X ),
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.43 'c_HOL_Oone__class_Oone'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.01/1.43 , X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'(
% 1.01/1.43 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.01/1.43 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ),
% 1.01/1.43 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'( X ), X ) ) ]
% 1.01/1.43 ,
% 1.01/1.43 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ouminus__class_Ouminus'(
% 1.01/1.43 'c_HOL_Oone__class_Oone'( X ), X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.01/1.43 'c_Int_OMin', X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ), X
% 1.01/1.43 ), Y ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ), X
% 1.01/1.43 ), Y ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.01/1.43 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.43 , 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'( Z,
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.43 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_Power_Opower__class_Opower'( Y,
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.43 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.43 X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'( Y,
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.43 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_Power_Opower__class_Opower'( Z,
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.43 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.43 X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.01/1.43 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ),
% 1.01/1.43 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.43 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.43 X ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.43 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.01/1.43 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ),
% 1.01/1.43 'c_Power_Opower__class_Opower'( Z, 'c_Int_Onumber__class_Onumber__of'(
% 1.01/1.43 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), X )
% 1.01/1.43 ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 1.01/1.43 'c_Power_Opower__class_Opower'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.01/1.43 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ),
% 1.01/1.43 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'( X ), X ) ),
% 1.01/1.43 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 1.01/1.43 'c_Power_Opower__class_Opower'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.01/1.43 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.01/1.43 ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ) ],
% 1.01/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( X,
% 1.01/1.43 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' )
% 1.01/1.43 , ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ) ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_Int_OPls', Y, 'tc_Int_Oint' ) ) ],
% 1.01/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OPls', X, 'tc_Int_Oint' ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Y, X, 'tc_Int_Oint' ) ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.01/1.43 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ), 'tc_nat' )
% 1.01/1.43 ) ],
% 1.01/1.43 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Otimes__class_Otimes'( Y, X,
% 1.01/1.43 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_Suc'(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Y, 'tc_nat' ) ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.01/1.43 ) ), X, 'tc_nat' ) ) ],
% 1.01/1.43 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.01/1.43 'tc_nat' ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_Suc'(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Y, 'tc_nat' ) ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.01/1.43 ) ), X, 'tc_nat' ) ) ],
% 1.01/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.43 'tc_nat' ) ), 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'tc_nat' )
% 1.01/1.43 , ~( 'c_HOL_Oord__class_Oless'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.43 'tc_nat' ) ), X, 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_Suc'(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Y, 'tc_nat' ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y,
% 1.01/1.43 'c_Suc'( 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.01/1.43 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), Z, 'tc_nat' )
% 1.01/1.43 ), X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ), 'c_Suc'(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.01/1.43 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), Y, 'tc_nat' )
% 1.01/1.43 ), X ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ),
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 1.01/1.43 , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.01/1.43 , T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.01/1.43 , T, X ), Z, X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.01/1.43 , T, X ), Z, X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.01/1.43 , T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.43 ), T, X ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.01/1.43 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.43 ), X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.43 ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.43 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.01/1.43 ), X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.43 X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ),
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ),
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.01/1.43 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.43 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 Y, 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ),
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.43 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.43 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.43 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.43 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.43 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ),
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.01/1.43 ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.43 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T,
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 1.01/1.43 , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.43 X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( Y, T, X ),
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.01/1.43 , Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ),
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.01/1.43 , Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( T, Z, X ),
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.01/1.43 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.43 ), X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.43 ), X ), Z, X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.43 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.01/1.43 ), X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.01/1.43 ), X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.01/1.43 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.43 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.43 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.43 ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.43 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 1.01/1.43 , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_lessequals'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.43 , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.01/1.43 , X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T,
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ),
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.01/1.43 , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.01/1.43 ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ),
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.43 ), X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.43 , X ), ~( 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.43 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ),
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Z, X ), U, X ) ),
% 1.01/1.43 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), T, X ) )
% 1.01/1.43 ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_Int_Oint' ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z,
% 1.01/1.43 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ),
% 1.01/1.43 ~( 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.01/1.43 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ),
% 1.01/1.43 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ),
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.01/1.43 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.01/1.43 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 1.01/1.43 , Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.01/1.43 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, Z ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ), X ) ]
% 1.01/1.43 ,
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.01/1.43 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.43 X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), ~( 'class_Int_Onumber'(
% 1.01/1.43 X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Oplus__class_Oplus'( Z
% 1.01/1.43 , T, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ),
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.01/1.43 , T, X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), ~( 'class_Int_Onumber'(
% 1.01/1.43 X ) ), =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z
% 1.01/1.43 , X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ),
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), X ),
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.43 ), X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Y,
% 1.01/1.43 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 1.01/1.43 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.43 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 1.01/1.43 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X
% 1.01/1.43 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.01/1.43 'c_HOL_Oone__class_Oone'( X ), X ), Z, X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X
% 1.01/1.43 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Z,
% 1.01/1.43 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.01/1.43 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.43 ), X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.01/1.43 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 1.01/1.43 T, Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 1.01/1.43 ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.01/1.43 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_Suc'( Y ), X ),
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.01/1.43 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.01/1.43 ,
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.01/1.43 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.01/1.43 ,
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.01/1.43 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.01/1.43 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.43 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 1.01/1.43 Z, T, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 1.01/1.43 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.01/1.43 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 1.01/1.43 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 1.01/1.43 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.01/1.43 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.01/1.43 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.01/1.43 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ), =( Z,
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.01/1.43 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.43 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.01/1.43 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ), =( Z,
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.43 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.01/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.43 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.43 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_lessequals'( Y,
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.01/1.43 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.01/1.43 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.01/1.43 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 1.01/1.43 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.01/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.01/1.43 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.01/1.43 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 1.01/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.01/1.43 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.01/1.43 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.01/1.43 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 1.01/1.43 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.01/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.01/1.43 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.01/1.43 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 1.01/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.01/1.43 ), =( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.01/1.43 ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 1.01/1.43 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 1.01/1.43 ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 1.01/1.43 ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.01/1.43 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oplus__class_Oplus'( Y
% 1.01/1.43 , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ), X ), Y ) ],
% 1.01/1.43 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ), Y, X ), Y ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 1.01/1.43 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 1.01/1.43 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.01/1.43 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T,
% 1.01/1.43 'tc_nat' ), X ), 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 1.01/1.43 Y, T, X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.43 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ),
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.01/1.43 ), X ) ) ],
% 1.01/1.43 [ ~( 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'( Y,
% 1.01/1.43 'c_Suc'( Z ), X ), 'c_HOL_Otimes__class_Otimes'( Y,
% 1.01/1.43 'c_Power_Opower__class_Opower'( Y, Z, X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.01/1.43 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ),
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.01/1.43 Y, X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.43 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ),
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.01/1.43 ), X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.01/1.43 'c_Power_Opower__class_Opower'( Y, T, X ), X ),
% 1.01/1.43 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T,
% 1.01/1.43 'tc_nat' ), X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.01/1.43 ), X ), 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.01/1.43 Y, X ), 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.01/1.43 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Y
% 1.01/1.43 , 'tc_nat' ), 'tc_nat' ) ), =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.01/1.43 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_lessequals'(
% 1.01/1.43 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), X ),
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.01/1.43 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.43 , 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.01/1.43 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.01/1.43 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.43 , 'tc_nat' ), 'tc_nat' ), =( 'c_Int_Onumber__class_Onumber__of'( Z,
% 1.01/1.43 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 1.01/1.43 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.01/1.43 , 'tc_nat' ), X ), 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 1.01/1.43 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ),
% 1.01/1.43 'c_Power_Opower__class_Opower'( Y, Z, X ), X ),
% 1.01/1.43 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.43 'c_HOL_Oone__class_Oone'( X ), Y, X ), Z, X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.01/1.43 'c_HOL_Oone__class_Oone'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X )
% 1.01/1.43 , X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.01/1.43 [ 'c_HOL_Oord__class_Oless'( X, 'c_Int_OPls', 'tc_Int_Oint' ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OPls',
% 1.01/1.43 'tc_Int_Oint' ) ) ],
% 1.01/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OPls',
% 1.01/1.43 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Int_OPls',
% 1.01/1.43 'tc_Int_Oint' ) ) ],
% 1.01/1.43 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OBit0'( Y ),
% 1.01/1.43 'tc_Int_Oint' ) ) ],
% 1.01/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OBit0'( Y ),
% 1.01/1.43 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ) ) ]
% 1.01/1.43 ,
% 1.01/1.43 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OBit0'( Y ),
% 1.01/1.43 'tc_Int_Oint' ) ) ],
% 1.01/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OBit0'( Y ),
% 1.01/1.43 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ) ) ]
% 1.01/1.43 ,
% 1.01/1.43 [ 'c_HOL_Oord__class_Oless'( X, 'c_Int_OPls', 'tc_Int_Oint' ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_Int_OBit0'( X ), 'c_Int_OPls',
% 1.01/1.43 'tc_Int_Oint' ) ) ],
% 1.01/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OBit0'( X ), 'c_Int_OPls',
% 1.01/1.43 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Int_OPls',
% 1.01/1.43 'tc_Int_Oint' ) ) ],
% 1.01/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OPls', X, 'tc_Int_Oint' ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_Int_OPls', 'c_Int_OBit0'( X ),
% 1.01/1.43 'tc_Int_Oint' ) ) ],
% 1.01/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OPls', 'c_Int_OBit0'( X ),
% 1.01/1.43 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( 'c_Int_OPls', X,
% 1.01/1.43 'tc_Int_Oint' ) ) ],
% 1.01/1.43 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_Int_Onumber__class_Onumber__of'(
% 1.01/1.43 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ),
% 1.01/1.43 'c_Suc'( 'c_Suc'( X ) ) ) ],
% 1.01/1.43 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Int_Onumber__class_Onumber__of'(
% 1.01/1.43 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X, 'tc_nat' )
% 1.01/1.43 , 'c_Suc'( 'c_Suc'( X ) ) ) ],
% 1.01/1.43 [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', 'tc_nat' ),
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.01/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.01/1.43 'tc_nat' ), 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.01/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.01/1.43 'c_Suc'( X ), 'tc_nat' ) ],
% 1.01/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.01/1.43 'c_Suc'( X ), 'tc_nat' ) ],
% 1.01/1.43 [ =( X, 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X,
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X
% 1.01/1.43 , 'c_Suc'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat'
% 1.01/1.43 ) ) ],
% 1.01/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.01/1.43 'tc_nat' ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.43 'tc_nat' ), Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( Y, X
% 1.01/1.43 , 'tc_nat' ), 'tc_nat' ) ) ],
% 1.01/1.43 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( X, 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.43 'tc_nat' ) ), 'tc_nat' ) ) ],
% 1.01/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 1.01/1.43 'tc_nat' ) ) ],
% 1.01/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.01/1.43 'tc_nat' ) ) ],
% 1.01/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.01/1.43 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 1.01/1.43 'c_Power_Opower__class_Opower'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z
% 1.01/1.43 , X ), 'c_Power_Opower__class_Opower'( Y, Z, X ) ), ~(
% 1.01/1.43 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.01/1.43 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'(
% 1.01/1.43 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ),
% 1.01/1.43 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'( Y, Z, X ), X )
% 1.01/1.43 ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 1.01/1.43 'c_Power_Opower__class_Opower'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z
% 1.01/1.43 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_Power_Opower__class_Opower'( Y
% 1.01/1.43 , Z, X ), X ) ), 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.01/1.43 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'c_Suc'(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, 'c_Suc'(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.01/1.43 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'c_Suc'(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X, 'c_Suc'(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.01/1.43 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.01/1.43 Z, 'tc_nat' ), 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( X,
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( Y, T, 'tc_nat' ), 'tc_nat' ) ) ), =( Z, T )
% 1.01/1.43 , =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.01/1.43 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.43 'tc_nat' ) ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat'
% 1.01/1.43 ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.01/1.43 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( X,
% 1.01/1.43 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' )
% 1.01/1.43 ) ],
% 1.01/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X )
% 1.01/1.43 , Y, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X ), Z, 'tc_nat'
% 1.01/1.43 ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 1.01/1.43 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( Z ), X
% 1.01/1.43 , 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( Z ), Y, 'tc_nat' ),
% 1.01/1.43 'tc_nat' ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.01/1.43 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.43 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 Y, 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.43 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.43 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.43 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.01/1.43 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.43 X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.01/1.43 ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.43 X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.43 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.01/1.43 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 T, 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.43 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.43 ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.43 ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Int_OPls', 'tc_Int_Oint' ) )
% 1.01/1.43 ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.43 'c_Int_OPls', 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.43 ), X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.01/1.43 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_Int_OPls', Y, 'tc_Int_Oint' ) )
% 1.01/1.43 ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_OPls'
% 1.01/1.43 , Y, 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.01/1.43 ), X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oabs__class_Oabs'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.01/1.43 'c_HOL_Ouminus__class_Ouminus'( 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.01/1.43 ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.43 ), X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z
% 1.01/1.43 ), X ), 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.01/1.43 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.01/1.43 'c_HOL_Oone__class_Oone'( X ), X ) ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.01/1.43 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.01/1.43 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Osgn__if'( X ) ), =(
% 1.01/1.43 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.01/1.43 'c_HOL_Oone__class_Oone'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.43 X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), X ) ), ~(
% 1.01/1.43 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.01/1.43 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ), =( Z,
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.01/1.43 ), X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.43 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 1.01/1.43 'tc_nat' ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 1.01/1.43 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.43 , 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_Archimedean__Field_Oarchimedean__field'( X ) ),
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.01/1.43 'c_Archimedean__Field_Osko__Archimedean__Field__Xex__inverse__of__nat__less__1__1'(
% 1.01/1.43 Y, X ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.43 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 1.01/1.43 'c_HOL_Oone__class_Oone'( X ), X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.01/1.43 , X ), X ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( Y ), X ) )
% 1.01/1.43 ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.43 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.43 , 'tc_nat' ), X ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 1.01/1.43 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.43 , 'tc_nat' ), 'tc_nat' ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.43 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.43 , 'tc_nat' ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ),
% 1.01/1.43 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.43 , 'tc_nat' ), 'tc_nat' ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.01/1.43 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Y
% 1.01/1.43 , 'tc_nat' ), 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_Power_Opower__class_Opower'( Z, 'c_Int_Onumber__class_Onumber__of'( Y
% 1.01/1.43 , 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y,
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ), X ),
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.01/1.43 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.43 , 'tc_nat' ), 'tc_nat' ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( 'c_lessequals'(
% 1.01/1.43 'c_Power_Opower__class_Opower'( Z, 'c_Int_Onumber__class_Onumber__of'( Y
% 1.01/1.43 , 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 1.01/1.43 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 1.01/1.43 T, Z, X ) ) ), =( Y, T ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ) ), ~(
% 1.01/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.01/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.43 [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ),
% 1.01/1.43 'tc_nat' ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.01/1.43 [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.01/1.43 'c_Int_OPls' ) ), 'tc_nat' ), 'c_Suc'( 'c_Suc'( 'c_Suc'(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ) ],
% 1.01/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ), 'tc_nat' ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_Int_OPls', X, 'tc_Int_Oint' ) ) ],
% 1.01/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OPls', X, 'tc_Int_Oint' ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.01/1.43 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( X
% 1.01/1.43 , 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), 'tc_nat'
% 1.01/1.43 ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( X, 'c_Int_OPls', 'tc_Int_Oint' ) ) ],
% 1.01/1.43 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( X
% 1.01/1.43 , 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), Z, 'tc_nat' ),
% 1.01/1.43 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( X, 'c_Int_OPls', 'tc_Int_Oint' ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.01/1.43 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Int_OBit1'( 'c_Int_OPls' ),
% 1.01/1.43 'tc_Int_Oint' ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.43 'c_Int_OBit1'( 'c_Int_OPls' ), 'tc_Int_Oint' ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.43 'c_HOL_Oone__class_Oone'( X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_HOL_Oone__class_Oone'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.01/1.43 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( 'c_Int_OPls' ), Y,
% 1.01/1.43 'tc_Int_Oint' ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_Int_OBit1'( 'c_Int_OPls' ), Y, 'tc_Int_Oint' ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.01/1.43 'tc_nat' ), X ), X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.01/1.43 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.43 , 'tc_nat' ), 'tc_nat' ), =( 'c_Int_Onumber__class_Onumber__of'( Z,
% 1.01/1.43 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.43 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.43 , 'tc_nat' ), X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.01/1.43 'c_Power_Opower__class_Opower'( T, Z, X ), X ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 1.01/1.43 'tc_nat' ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.01/1.43 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.01/1.43 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.43 'c_Int_OPls' ) ), X ), Y, X ), 'c_HOL_Oplus__class_Oplus'( Y, Y, X ) ) ]
% 1.01/1.43 ,
% 1.01/1.43 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 Y, 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.43 'c_Int_OPls' ) ), X ), X ), 'c_HOL_Oplus__class_Oplus'( Y, Y, X ) ) ]
% 1.01/1.43 ,
% 1.01/1.43 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.43 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.43 'c_Int_OPls' ) ), X ) ) ],
% 1.01/1.43 [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.43 'c_Int_OPls' ) ), 'tc_nat' ), 'c_Suc'( 'c_Suc'(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 1.01/1.43 [ =( 'c_Suc'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ),
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.43 'c_Int_OPls' ) ), 'tc_nat' ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.01/1.43 'c_Power_Opower__class_Opower'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.43 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_Power_Opower__class_Opower'( Y,
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.43 'c_Int_OPls' ) ), 'tc_nat' ), X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.01/1.43 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'( Y,
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.43 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), 'c_Power_Opower__class_Opower'( Y
% 1.01/1.43 , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.43 'c_Int_OPls' ) ), 'tc_nat' ), X ) ) ],
% 1.01/1.43 [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.43 'c_Int_OPls' ) ), 'tc_nat' ), X, 'tc_nat' ), 'tc_nat' ) ],
% 1.01/1.43 [ =( 'c_HOL_Otimes__class_Otimes'( X, 'c_Int_Onumber__class_Onumber__of'(
% 1.01/1.43 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ),
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( X, X, 'tc_nat' ) ) ],
% 1.01/1.43 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.01/1.43 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X, 'tc_nat' )
% 1.01/1.43 , 'c_HOL_Oplus__class_Oplus'( X, X, 'tc_nat' ) ) ],
% 1.01/1.43 [ =( 'c_FFT__Mirabelle_Oroot'( 'c_Int_Onumber__class_Onumber__of'(
% 1.01/1.43 'c_Int_OBit0'( 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat'
% 1.01/1.43 ) ), 'c_Complex_Oii' ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.43 'c_Int_OPls' ) ), X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.43 'c_Int_OPls' ) ), X ), X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.01/1.43 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ),
% 1.01/1.43 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.43 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.01/1.43 ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.01/1.43 Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.01/1.43 ~( 'c_lessequals'( 'c_Power_Opower__class_Opower'( Y,
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.43 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_Power_Opower__class_Opower'( Z,
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.43 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'( Y,
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.43 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_Power_Opower__class_Opower'( Z,
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.43 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.01/1.43 ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'( Y,
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.43 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_Power_Opower__class_Opower'( Z,
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.43 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.01/1.43 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y,
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.43 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 1.01/1.43 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.01/1.43 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ),
% 1.01/1.43 'c_Power_Opower__class_Opower'( Z, 'c_Int_Onumber__class_Onumber__of'(
% 1.01/1.43 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ) ) ), =( Y
% 1.01/1.43 , Z ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.01/1.43 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.43 [ =( X, 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X,
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X
% 1.01/1.43 , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.43 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.43 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.43 'c_HOL_Oone__class_Oone'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.01/1.43 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), X ), X ), X ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.01/1.43 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ),
% 1.01/1.43 'c_Power_Opower__class_Opower'( Z, 'c_Int_Onumber__class_Onumber__of'(
% 1.01/1.43 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ) ) ]
% 1.01/1.43 ,
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.01/1.43 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ),
% 1.01/1.43 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.43 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'( Y,
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.43 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_Power_Opower__class_Opower'( Z,
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.43 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), X ), =( Z,
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( 'c_Power_Opower__class_Opower'( Y,
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.43 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_Power_Opower__class_Opower'( Z,
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.43 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), X ), =( Y,
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.43 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.01/1.43 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ),
% 1.01/1.43 'c_Power_Opower__class_Opower'( Z, 'c_Int_Onumber__class_Onumber__of'(
% 1.01/1.43 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ),
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.01/1.43 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ),
% 1.01/1.43 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.43 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.01/1.43 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ),
% 1.01/1.43 'c_Power_Opower__class_Opower'( Z, 'c_Int_Onumber__class_Onumber__of'(
% 1.01/1.43 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ),
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.43 'c_Int_OPls' ) ), X ), Y, X ), Z, X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y,
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.01/1.43 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), Z, 'tc_nat' )
% 1.01/1.43 , X ), X ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.01/1.43 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.43 'c_Int_OPls' ) ), 'tc_nat' ), Z, 'tc_nat' ), X ),
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.43 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.43 'c_Int_OPls' ) ), 'tc_nat' ), Z, 'tc_nat' ) ), X ),
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 1.01/1.43 Y, Z, X ), X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.01/1.43 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.43 'c_Int_OPls' ) ), 'tc_nat' ), Z, 'tc_nat' ) ), X ),
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'(
% 1.01/1.43 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.43 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, 'c_Suc'(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.01/1.43 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), Z, 'tc_nat' )
% 1.01/1.43 ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.01/1.43 ,
% 1.01/1.43 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ),
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.01/1.43 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), Y, 'tc_nat' )
% 1.01/1.43 , X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 1.01/1.43 'c_Power_Opower__class_Opower'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.01/1.43 'c_HOL_Oone__class_Oone'( X ), X ), 'c_Suc'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.43 'c_Int_OPls' ) ), 'tc_nat' ), Y, 'tc_nat' ) ), X ),
% 1.01/1.43 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'( X ), X ) ) ]
% 1.01/1.43 ,
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.01/1.43 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.01/1.43 X ), Z, X ) ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.01/1.43 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 1.01/1.43 T, X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oone__class_Oone'( X )
% 1.01/1.43 , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X )
% 1.01/1.43 ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 1.01/1.43 'c_Power_Opower__class_Opower'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.01/1.43 'c_HOL_Oone__class_Oone'( X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.43 'c_Int_OPls' ) ), 'tc_nat' ), Y, 'tc_nat' ), X ),
% 1.01/1.43 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.01/1.43 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ouminus__class_Ouminus'(
% 1.01/1.43 Y, X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.01/1.43 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.01/1.43 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.01/1.43 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ),
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( Y, Y, X ) ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 1.01/1.43 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.43 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 1.01/1.43 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.43 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.43 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 1.01/1.43 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Z,
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), X ), X ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.01/1.43 'class_Power_Opower'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y
% 1.01/1.43 , 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =(
% 1.01/1.43 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), X ),
% 1.01/1.43 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.01/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.43 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.01/1.43 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 1.01/1.43 , Y, X ) ) ],
% 1.01/1.43 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.01/1.43 ), X, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 1.01/1.43 [ =( 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.43 'tc_nat' ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Y,
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.01/1.43 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.43 ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.01/1.43 ), =( 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 1.01/1.43 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.43 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.01/1.43 , X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.01/1.43 [ ~( 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'( Y,
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'( X
% 1.01/1.43 ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~(
% 1.01/1.43 =( 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.43 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.01/1.43 ), ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.43 ) ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.01/1.43 , X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ],
% 1.01/1.43 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_nat' )
% 1.01/1.43 , 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.01/1.43 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 1.01/1.43 T, X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.01/1.43 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.01/1.43 X ), T, X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.01/1.43 , X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.01/1.43 T, X ), X ) ) ],
% 1.01/1.43 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.01/1.43 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X,
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.01/1.43 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.01/1.43 X ), T, X ) ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), ~( =(
% 1.01/1.43 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y ) ), =( Y,
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.43 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.01/1.43 , X ), X ) ],
% 1.01/1.43 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 1.01/1.43 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.01/1.43 X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 1.01/1.43 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.01/1.43 X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 1.01/1.43 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.01/1.43 X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 1.01/1.43 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.01/1.43 X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.01/1.43 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 Y, Y, X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.01/1.43 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 Y, Z, X ) ) ],
% 1.01/1.43 [ =( 'c_Int_OPls', 'c_Int_OBit0'( 'c_Int_OPls' ) ) ],
% 1.01/1.43 [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OBit0'( Y ) ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.01/1.43 'c_Power_Opower__class_Opower'( Y, Z, X ), X ),
% 1.01/1.43 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.01/1.43 ,
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.01/1.43 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, X )
% 1.01/1.43 , 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.01/1.43 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.01/1.43 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ),
% 1.01/1.43 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.01/1.43 [ =( 'c_FFT__Mirabelle_Oroot'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 1.01/1.43 , 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.01/1.43 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.43 'c_Int_OPls' ) ), 'tc_nat' ), Z, 'tc_nat' ), X ),
% 1.01/1.43 'c_Power_Opower__class_Opower'( 'c_Power_Opower__class_Opower'( Y, Z, X )
% 1.01/1.43 , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.43 'c_Int_OPls' ) ), 'tc_nat' ), X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.43 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.43 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.01/1.43 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 1.01/1.43 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.01/1.43 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.01/1.43 ), 'tc_nat' ) ) ],
% 1.01/1.43 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.01/1.43 ), 'tc_nat' ) ) ],
% 1.01/1.43 [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OBit0'( Y ) ) ), =( X, Y ) ],
% 1.01/1.43 [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OPls' ) ), =( X, 'c_Int_OPls' ) ]
% 1.01/1.43 ,
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.01/1.43 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.01/1.43 X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.01/1.43 [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OPls' ) ) ],
% 1.01/1.43 [ =( 'c_Power_Opower__class_Opower'( 'c_FFT__Mirabelle_Oroot'(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.01/1.43 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X, 'tc_nat' )
% 1.01/1.43 ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.43 'c_Int_OPls' ) ), 'tc_nat' ), Z, 'tc_nat' ), 'tc_nat' ),
% 1.01/1.43 'tc_Complex_Ocomplex' ), 'c_Power_Opower__class_Opower'(
% 1.01/1.43 'c_FFT__Mirabelle_Oroot'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.01/1.43 'tc_nat' ), 'tc_Complex_Ocomplex' ) ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), ~( 'class_Int_Onumber'(
% 1.01/1.43 X ) ), =( 'c_Power_Opower__class_Opower'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.43 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y,
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.43 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.01/1.43 ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.01/1.43 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( T, Z, 'tc_nat' ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), =(
% 1.01/1.43 'c_Power_Opower__class_Opower'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z
% 1.01/1.43 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'(
% 1.01/1.43 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'( X ), X ), Z, X
% 1.01/1.43 ), 'c_Power_Opower__class_Opower'( Y, Z, X ), X ) ) ],
% 1.01/1.43 [ ~( =( 'c_Int_OPls', 'c_Int_OBit1'( X ) ) ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.01/1.43 Y, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'(
% 1.01/1.43 Y, Z, X ), X ) ) ],
% 1.01/1.43 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ) ) ), =( Y,
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, Z ) ],
% 1.01/1.43 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) ) ), =( X,
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y, Z ) ],
% 1.01/1.43 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) ) ), =( Y, Z ), =( X,
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.43 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.01/1.43 ,
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.01/1.43 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.01/1.43 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ), =(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.01/1.43 ), =( 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), X ),
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_Int_Onumber__class_Onumber__of'(
% 1.01/1.43 Y, 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.01/1.43 'tc_nat' ), X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ]
% 1.01/1.43 ,
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.43 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.43 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.43 [ =( 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.43 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.01/1.43 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.01/1.43 ), X, 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.01/1.43 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.43 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 1.01/1.43 , X ) ) ],
% 1.01/1.43 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 1.01/1.43 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 1.01/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.01/1.43 , Y, X ) ) ],
% 1.01/1.43 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.01/1.43 , Y, X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.01/1.43 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.01/1.43 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ),
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.43 ) ) ],
% 1.01/1.43 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ),
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.43 [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', 'tc_nat' ),
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.43 'c_HOL_Oone__class_Oone'( X ), X ) ],
% 1.01/1.43 [ =( 'c_Int_OBit0'( 'c_Int_OPls' ), 'c_Int_OPls' ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 1.01/1.43 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 1.01/1.43 Y, T, X ) ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X
% 1.01/1.43 ), Y, X ) ), =( Z, T ) ],
% 1.01/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.01/1.43 'tc_nat' ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 1.01/1.43 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 1.01/1.43 X ), X ) ) ],
% 1.01/1.43 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.01/1.43 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), =(
% 1.01/1.43 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 1.01/1.43 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.43 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.01/1.43 ,
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.01/1.43 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.43 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.01/1.43 ,
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_Power_Opower__class_Opower'( T, Y, X ), 'c_Power_Opower__class_Opower'(
% 1.01/1.43 T, Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 1.01/1.43 X ), T, X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.01/1.43 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_Power_Opower__class_Opower'( T, Y, X ), 'c_Power_Opower__class_Opower'(
% 1.01/1.43 T, Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 1.01/1.43 X ), T, X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.01/1.43 'c_Power_Opower__class_Opower'( Y, T, X ), X ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.01/1.43 [ =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', 'tc_nat' ) ) ],
% 1.01/1.43 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.43 ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.43 , Y, X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.01/1.43 , T, X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( Z, T, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.01/1.43 , T, X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.43 , Y, X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.43 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.43 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_Power_Opower__class_Opower'(
% 1.01/1.43 Y, 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.43 'c_Int_OPls' ) ), 'tc_nat' ), X ) ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.01/1.43 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T,
% 1.01/1.43 'tc_nat' ), X ), 'c_Power_Opower__class_Opower'(
% 1.01/1.43 'c_Power_Opower__class_Opower'( Y, Z, X ), T, X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 1.01/1.43 ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 1.01/1.43 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.01/1.43 ],
% 1.01/1.43 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.01/1.43 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.01/1.43 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.01/1.43 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.01/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.01/1.43 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.01/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 1.01/1.43 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.01/1.43 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' )
% 1.01/1.43 , 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.01/1.43 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.43 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 1.01/1.43 X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.01/1.43 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.43 X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.01/1.43 , Z, X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.01/1.43 ), =( Z, Y ) ],
% 1.01/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.01/1.43 ) ],
% 1.01/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.01/1.43 ) ],
% 1.01/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.01/1.43 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 1.01/1.43 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 Y, X, 'tc_nat' ), =( Y, X ) ],
% 1.01/1.43 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 Y, X, 'tc_nat' ), =( Y, X ) ],
% 1.01/1.43 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.01/1.43 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.01/1.43 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 1.01/1.43 , Y, X ) ) ],
% 1.01/1.43 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 1.01/1.43 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.01/1.43 , X ) ) ), =( Y, Z ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.01/1.43 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.01/1.43 , X ) ) ), =( Y, Z ) ],
% 1.01/1.43 [ =( 'c_Power_Opower__class_Opower'( 'c_FFT__Mirabelle_Oroot'( X ), X,
% 1.01/1.43 'tc_Complex_Ocomplex' ), 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex'
% 1.01/1.43 ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.01/1.43 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.01/1.43 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.01/1.43 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 Z, Y, X ) ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.01/1.43 , X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 1.01/1.43 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.01/1.43 ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( =(
% 1.01/1.43 'c_Power_Opower__class_Opower'( Z, 'c_Int_Onumber__class_Onumber__of'( Y
% 1.01/1.43 , 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.01/1.43 ,
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.01/1.43 ,
% 1.01/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 1.01/1.43 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.43 'tc_nat' ), X, 'tc_nat' ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.43 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.43 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.43 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z,
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.43 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X,
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 1.01/1.43 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ),
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.43 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.01/1.43 , Z, X ) ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), =( Y, Z ) ]
% 1.01/1.43 ,
% 1.01/1.43 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ), Y
% 1.01/1.43 , X ), Y ) ],
% 1.01/1.43 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 Y, 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X )
% 1.01/1.43 , X ), Y ) ],
% 1.01/1.43 [ ~( =( 'c_Int_OPls', 'c_Int_OBit0'( X ) ) ), =( 'c_Int_OPls', X ) ]
% 1.01/1.43 ,
% 1.01/1.43 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 1.01/1.43 ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.01/1.43 ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.01/1.43 ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.01/1.43 ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 1.01/1.43 ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.01/1.43 ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 1.01/1.43 'c_Power_Opower__class_Opower'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.01/1.43 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), Z, 'tc_nat' )
% 1.01/1.43 , X ), 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.43 'c_Int_OPls' ) ), 'tc_nat' ), Z, 'tc_nat' ), X ) ) ],
% 1.01/1.43 [ =( 'c_Power_Opower__class_Opower'( 'c_FFT__Mirabelle_Oroot'(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ) ),
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_Complex_Ocomplex' ),
% 1.01/1.43 'c_Power_Opower__class_Opower'( 'c_FFT__Mirabelle_Oroot'( Y ), Z,
% 1.01/1.43 'tc_Complex_Ocomplex' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ) ],
% 1.01/1.43 [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OBit1'( Y ) ) ), =( X, Y ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.43 'c_Power_Opower__class_Opower'( 'c_Power_Opower__class_Opower'( Y, Z, X )
% 1.01/1.43 , T, X ), 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 Z, T, 'tc_nat' ), X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.01/1.43 , Y, X ) ) ],
% 1.01/1.43 [ =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_nat' ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.01/1.43 , Y, X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ]
% 1.01/1.43 ,
% 1.01/1.43 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.01/1.43 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.01/1.43 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.01/1.43 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 1.01/1.43 'c_Power_Opower__class_Opower'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.43 'c_Int_OPls' ) ), 'tc_nat' ), X ), 'c_Power_Opower__class_Opower'( Y,
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.43 'c_Int_OPls' ) ), 'tc_nat' ), X ) ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 1.01/1.43 ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.01/1.43 ), ~( =( 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.43 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.01/1.43 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) ) ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.01/1.43 'tc_nat' ) ), =( Y, Z ) ],
% 1.01/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.01/1.43 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X
% 1.01/1.43 , Y, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat'
% 1.01/1.43 ) ) ],
% 1.01/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.01/1.43 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y
% 1.01/1.43 , X, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_nat' ), 'tc_nat'
% 1.01/1.43 ) ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.01/1.43 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.01/1.43 'c_Int_OBit1'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ),
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y
% 1.01/1.43 , X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_Int_Oring__char__0'( X ) ), ~( 'class_Int_Onumber__ring'( X
% 1.01/1.43 ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =( Y, Z ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.01/1.43 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 1.01/1.43 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 1.01/1.43 , Y, X ) ) ],
% 1.01/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.01/1.43 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.43 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'tc_nat' ) )
% 1.01/1.43 ],
% 1.01/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.01/1.43 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.43 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_nat' ), 'tc_nat' ) )
% 1.01/1.43 ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.43 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.43 'c_Int_OPls' ) ), 'tc_nat' ), Z, 'tc_nat' ), X ),
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.01/1.43 'c_Power_Opower__class_Opower'( Y, Z, X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y,
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ), X ),
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.43 [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OBit1'( Y ) ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.43 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.43 X ), T, X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.43 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.01/1.43 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 1.01/1.43 ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.01/1.43 'tc_nat' ) ) ],
% 1.01/1.43 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_nat' )
% 1.01/1.43 , 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ) ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 1.01/1.43 'tc_nat' ) ) ],
% 1.01/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.01/1.43 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 1.01/1.43 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 1.01/1.43 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 1.01/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.01/1.43 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 1.01/1.43 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.01/1.43 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 1.01/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.01/1.43 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 1.01/1.43 ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.01/1.43 'tc_nat' ) ) ],
% 1.01/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.01/1.43 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ),
% 1.01/1.43 ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 1.01/1.43 'tc_nat' ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.43 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.01/1.43 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), X ), X ), =(
% 1.01/1.43 Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.01/1.43 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.01/1.43 ), ~( =( 'c_Power_Opower__class_Opower'( Y,
% 1.01/1.43 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ), X ),
% 1.01/1.43 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.43 ) ) ],
% 1.01/1.43 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Z, X ) ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.01/1.43 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.01/1.43 ), Y ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 1.01/1.43 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.01/1.43 ) ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 1.01/1.43 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.01/1.43 ) ) ],
% 1.01/1.43 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 1.01/1.43 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.01/1.43 ), Y ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.01/1.43 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.01/1.43 ), Y ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 1.01/1.43 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 1.01/1.43 , X ) ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 1.01/1.43 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 1.01/1.43 , X ) ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 1.01/1.43 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.01/1.43 , X ) ) ],
% 1.01/1.43 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.43 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 1.01/1.43 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.01/1.43 , X ) ) ],
% 1.01/1.43 [ =( 'c_Power_Opower__class_Opower'( 'c_FFT__Mirabelle_Oroot'(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( X, 'c_Int_Onumber__class_Onumber__of'(
% 1.01/1.43 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ) )
% 1.01/1.43 , 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 1.01/1.43 'tc_nat' ), 'tc_Complex_Ocomplex' ), 'c_Power_Opower__class_Opower'(
% 1.01/1.43 'c_FFT__Mirabelle_Oroot'( 'c_Int_Onumber__class_Onumber__of'(
% 1.01/1.43 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ),
% 1.01/1.43 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_Complex_Ocomplex' ) ), ~(
% 1.01/1.43 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.01/1.43 'tc_nat' ) ) ],
% 1.01/1.43 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.01/1.43 'v_n', 'tc_nat' ) ],
% 1.01/1.43 [ ~( =( 'c_Power_Opower__class_Opower'( 'c_FFT__Mirabelle_Oroot'(
% 1.01/1.43 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.01/1.43 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), 'v_n',
% 1.01/1.43 'tc_nat' ) ), 'v_n', 'tc_Complex_Ocomplex' ),
% 1.01/1.43 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'(
% 1.01/1.43 'tc_Complex_Ocomplex' ), 'tc_Complex_Ocomplex' ) ) ) ],
% 1.01/1.43 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 1.01/1.43 ],
% 1.01/1.43 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 1.01/1.43 ) ],
% 1.01/1.43 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 1.01/1.43 ],
% 1.01/1.43 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_nat' ) ]
% 1.01/1.43 ,
% 1.01/1.43 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 1.01/1.43 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 1.01/1.43 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 1.01/1.43 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 1.01/1.43 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 1.01/1.43 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' ) ],
% 1.01/1.43 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_nat' ) ],
% 1.01/1.43 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 1.01/1.43 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 1.01/1.43 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 1.01/1.43 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 1.01/1.43 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 1.01/1.43 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 1.01/1.43 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 1.01/1.43 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 1.01/1.43 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 1.01/1.43 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ],
% 1.01/1.43 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ],
% 1.01/1.43 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_nat' ) ],
% 1.01/1.43 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 1.01/1.43 [ 'class_Ring__and__Field_Omult__mono'( 'tc_nat' ) ],
% 1.01/1.43 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 1.01/1.43 [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 1.01/1.43 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 1.01/1.43 [ 'class_Nat_Osemiring__char__0'( 'tc_nat' ) ],
% 1.01/1.43 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 1.01/1.43 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 1.01/1.43 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 1.01/1.43 [ 'class_Power_Opower'( 'tc_nat' ) ],
% 1.01/1.43 [ 'class_Int_Onumber'( 'tc_nat' ) ],
% 1.01/1.43 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 1.01/1.43 'tc_Int_Oint' ) ],
% 1.01/1.43 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 1.01/1.43 'tc_Int_Oint' ) ],
% 1.01/1.43 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 1.01/1.43 'tc_Int_Oint' ) ],
% 1.01/1.43 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_Int_Oint' )
% 1.01/1.43 ],
% 1.01/1.43 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'( 'tc_Int_Oint' )
% 1.01/1.43 ],
% 1.01/1.43 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_Int_Oint' ) ]
% 1.01/1.43 ,
% 1.01/1.43 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_Int_Oint' ) ]
% 1.01/1.43 ,
% 1.01/1.43 [ 'class_OrderedGroup_Opordered__ab__group__add__abs'( 'tc_Int_Oint' ) ]
% 1.01/1.43 ,
% 1.01/1.43 [ 'class_OrderedGroup_Olordered__ab__group__add__abs'( 'tc_Int_Oint' ) ]
% 1.01/1.43 ,
% 1.01/1.43 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_Int_Oint' ) ]
% 1.01/1.43 ,
% 1.01/1.43 [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_Int_Oint' ) ]
% 1.01/1.43 ,
% 1.01/1.43 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_Int_Oint' ) ]
% 1.01/1.43 ,
% 1.01/1.43 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_Int_Oint' ) ]
% 1.01/1.43 ,
% 1.01/1.43 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.01/1.43 [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.01/1.43 [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.01/1.43 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Int_Oint' ) ],
% 1.01/1.43 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_Int_Oint' ) ],
% 1.01/1.43 [ 'class_Ring__and__Field_Opordered__ring__abs'( 'tc_Int_Oint' ) ],
% 1.01/1.43 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_Int_Oint' ) ],
% 1.01/1.43 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Int_Oint' ) ],
% 1.01/1.43 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_Int_Oint' ) ],
% 1.01/1.43 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Int_Oint' ) ],
% 1.01/1.43 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Int_Oint' ) ],
% 1.01/1.43 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Int_Oint' ) ],
% 1.01/1.43 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Int_Oint' ) ],
% 1.01/1.43 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_Int_Oint' ) ],
% 1.01/1.43 [ 'class_Ring__and__Field_Olordered__ring'( 'tc_Int_Oint' ) ],
% 1.01/1.43 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Int_Oint' ) ],
% 1.01/1.43 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Int_Oint' ) ],
% 1.01/1.43 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Int_Oint' ) ],
% 1.01/1.43 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_Int_Oint' ) ],
% 1.01/1.43 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Int_Oint' ) ],
% 1.01/1.43 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_Int_Oint' ) ],
% 1.01/1.43 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_Int_Oint' ) ],
% 1.01/1.43 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_Int_Oint' ) ],
% 1.01/1.43 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Int_Oint' ) ],
% 1.01/1.43 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Int_Oint' ) ],
% 1.01/1.43 [ 'class_Ring__and__Field_Omult__mono'( 'tc_Int_Oint' ) ],
% 1.01/1.43 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Int_Oint' ) ],
% 1.01/1.43 [ 'class_Ring__and__Field_Osemiring'( 'tc_Int_Oint' ) ],
% 1.01/1.43 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Int_Oint' ) ],
% 1.01/1.43 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Int_Oint' ) ],
% 1.01/1.43 [ 'class_Ring__and__Field_Osgn__if'( 'tc_Int_Oint' ) ],
% 1.01/1.43 [ 'class_Ring__and__Field_Oring__1'( 'tc_Int_Oint' ) ],
% 1.01/1.43 [ 'class_Ring__and__Field_Oabs__if'( 'tc_Int_Oint' ) ],
% 1.01/1.43 [ 'class_Ring__and__Field_Oring'( 'tc_Int_Oint' ) ],
% 1.01/1.43 [ 'class_Ring__and__Field_Oidom'( 'tc_Int_Oint' ) ],
% 1.01/1.43 [ 'class_Nat_Osemiring__char__0'( 'tc_Int_Oint' ) ],
% 1.01/1.43 [ 'class_Orderings_Opreorder'( 'tc_Int_Oint' ) ],
% 1.01/1.43 [ 'class_Orderings_Olinorder'( 'tc_Int_Oint' ) ],
% 1.01/1.43 [ 'class_Orderings_Oorder'( 'tc_Int_Oint' ) ],
% 1.01/1.43 [ 'class_Int_Oring__char__0'( 'tc_Int_Oint' ) ],
% 1.01/1.43 [ 'class_Int_Onumber__ring'( 'tc_Int_Oint' ) ],
% 1.01/1.43 [ 'class_Power_Opower'( 'tc_Int_Oint' ) ],
% 1.01/1.43 [ 'class_Int_Onumber'( 'tc_Int_Oint' ) ],
% 1.01/1.43 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 1.01/1.43 'tc_Complex_Ocomplex' ) ],
% 1.01/1.43 [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 1.01/1.43 'tc_Complex_Ocomplex' ) ],
% 1.01/1.43 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 1.01/1.43 'tc_Complex_Ocomplex' ) ],
% 1.01/1.43 [ 'class_RealVector_Oreal__normed__div__algebra'( 'tc_Complex_Ocomplex'
% 1.01/1.43 ) ],
% 1.01/1.43 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Complex_Ocomplex' )
% 1.01/1.43 ],
% 1.01/1.43 [ 'class_RealVector_Oreal__normed__algebra__1'( 'tc_Complex_Ocomplex' )
% 1.01/1.43 ],
% 1.01/1.43 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Complex_Ocomplex' )
% 1.01/1.43 ],
% 1.01/1.43 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_Complex_Ocomplex' )
% 1.01/1.43 ],
% 1.01/1.43 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Complex_Ocomplex' ) ]
% 1.01/1.43 ,
% 1.01/1.43 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_Complex_Ocomplex' ) ]
% 1.01/1.43 ,
% 1.01/1.43 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Complex_Ocomplex' ) ]
% 1.01/1.43 ,
% 1.01/1.43 [ 'class_RealVector_Oreal__normed__vector'( 'tc_Complex_Ocomplex' ) ]
% 1.01/1.43 ,
% 1.01/1.43 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Complex_Ocomplex' ) ]
% 1.01/1.43 ,
% 1.01/1.43 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Complex_Ocomplex' ) ]
% 1.01/1.43 ,
% 1.01/1.43 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Complex_Ocomplex' ) ]
% 1.01/1.43 ,
% 1.01/1.43 [ 'class_RealVector_Oreal__normed__field'( 'tc_Complex_Ocomplex' ) ]
% 1.01/1.43 ,
% 1.01/1.43 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Complex_Ocomplex' ) ]
% 1.01/1.43 ,
% 1.01/1.43 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Complex_Ocomplex' ) ]
% 1.01/1.43 ,
% 1.01/1.43 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Complex_Ocomplex' ) ]
% 1.01/1.43 ,
% 1.01/1.43 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_Complex_Ocomplex' ) ],
% 1.01/1.43 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_Complex_Ocomplex' ) ],
% 1.01/1.43 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Complex_Ocomplex' ) ],
% 1.01/1.43 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Complex_Ocomplex' ) ],
% 1.01/1.43 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Complex_Ocomplex' ) ],
% 1.01/1.43 [ 'class_Ring__and__Field_Osemiring'( 'tc_Complex_Ocomplex' ) ],
% 1.01/1.43 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Complex_Ocomplex' ) ],
% 1.01/1.43 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Complex_Ocomplex' ) ],
% 1.01/1.43 [ 'class_Ring__and__Field_Oring__1'( 'tc_Complex_Ocomplex' ) ],
% 1.01/1.43 [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex' ) ],
% 1.01/1.43 [ 'class_Ring__and__Field_Oring'( 'tc_Complex_Ocomplex' ) ],
% 1.01/1.43 [ 'class_Ring__and__Field_Oidom'( 'tc_Complex_Ocomplex' ) ],
% 1.01/1.43 [ 'class_Nat_Osemiring__char__0'( 'tc_Complex_Ocomplex' ) ],
% 1.01/1.43 [ 'class_Int_Oring__char__0'( 'tc_Complex_Ocomplex' ) ],
% 1.01/1.43 [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ],
% 1.01/1.43 [ 'class_Power_Opower'( 'tc_Complex_Ocomplex' ) ],
% 1.01/1.43 [ 'class_Int_Onumber'( 'tc_Complex_Ocomplex' ) ]
% 1.01/1.43 ] .
% 1.01/1.43
% 1.01/1.43
% 1.01/1.43 percentage equality = 0.206534, percentage horn = 0.845596
% 1.01/1.43 This is a problem with some equality
% 1.01/1.43
% 1.01/1.43
% 1.01/1.43
% 1.01/1.43 Options Used:
% 1.01/1.43
% 1.01/1.43 useres = 1
% 1.01/1.43 useparamod = 1
% 1.01/1.43 useeqrefl = 1
% 1.01/1.43 useeqfact = 1
% 1.01/1.43 usefactor = 1
% 1.01/1.43 usesimpsplitting = 0
% 1.01/1.43 usesimpdemod = 5
% 1.01/1.43 usesimpres = 3
% 1.01/1.43
% 1.01/1.43 resimpinuse = 1000
% 1.01/1.43 resimpclauses = 20000
% 1.01/1.43 substype = eqrewr
% 1.01/1.43 backwardsubs = 1
% 1.01/1.43 selectoldest = 5
% 1.01/1.43
% 1.01/1.43 litorderings [0] = split
% 1.01/1.43 litorderings [1] = extend the termordering, first sorting on arguments
% 1.01/1.43
% 1.01/1.43 termordering = kbo
% 1.01/1.43
% 1.01/1.43 litapriori = 0
% 1.01/1.43 termapriori = 1
% 1.01/1.43 litaposteriori = 0
% 1.01/1.43 termaposteriori = 0
% 1.01/1.43 demodaposteriori = 0
% 1.01/1.43 ordereqreflfact = 0
% 1.01/1.43
% 1.01/1.43 litselect = negord
% 1.01/1.43
% 1.01/1.43 maxweight = 15
% 1.01/1.43 maxdepth = 30000
% 1.01/1.43 maxlength = 115
% 1.01/1.43 maxnrvars = 195
% 1.01/1.43 excuselevel = 1
% 1.01/1.43 increasemaxweight = 1
% 1.01/1.43
% 1.01/1.43 maxselected = 10000000
% 1.01/1.43 maxnrclauses = 10000000
% 1.01/1.43
% 1.01/1.43 showgenerated = 0
% 1.01/1.43 showkept = 0
% 1.01/1.43 showselected = 0
% 1.01/1.43 showdeleted = 0
% 1.01/1.43 showresimp = 1
% 1.01/1.43 showstatus = 2000
% 1.01/1.43
% 1.01/1.43 prologoutput = 1
% 1.01/1.43 nrgoals = 5000000
% 1.01/1.43 totalproof = 1
% 1.01/1.43
% 1.01/1.43 Symbols occurring in the translation:
% 1.01/1.43
% 1.01/1.43 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.01/1.43 . [1, 2] (w:1, o:129, a:1, s:1, b:0),
% 1.01/1.43 ! [4, 1] (w:0, o:51, a:1, s:1, b:0),
% 1.01/1.43 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.01/1.43 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.01/1.43 'class_OrderedGroup_Opordered__comm__monoid__add' [40, 1] (w:1, o:58
% 1.01/1.43 , a:1, s:1, b:0),
% 1.01/1.43 'c_HOL_Ozero__class_Ozero' [41, 1] (w:1, o:59, a:1, s:1, b:0),
% 1.01/1.43 'c_HOL_Oplus__class_Oplus' [44, 3] (w:1, o:162, a:1, s:1, b:0),
% 1.01/1.43 'c_HOL_Oord__class_Oless' [45, 3] (w:1, o:161, a:1, s:1, b:0),
% 1.01/1.43 'c_lessequals' [46, 3] (w:1, o:163, a:1, s:1, b:0),
% 1.01/1.43 'class_Ring__and__Field_Oordered__field' [47, 1] (w:1, o:62, a:1, s:1
% 1.01/1.43 , b:0),
% 1.01/1.43 'c_HOL_Oinverse__class_Odivide' [50, 3] (w:1, o:164, a:1, s:1, b:0),
% 1.01/1.43
% 1.01/1.43 'class_Ring__and__Field_Odivision__by__zero' [53, 1] (w:1, o:66, a:1
% 1.01/1.43 , s:1, b:0),
% 1.01/1.43 'c_HOL_Oabs__class_Oabs' [54, 2] (w:1, o:154, a:1, s:1, b:0),
% 1.01/1.43 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [55, 1]
% 1.01/1.43 (w:1, o:67, a:1, s:1, b:0),
% 1.01/1.43 'class_OrderedGroup_Ocomm__monoid__add' [56, 1] (w:1, o:68, a:1, s:1
% 1.01/1.43 , b:0),
% 1.01/1.43 'class_Orderings_Oorder' [58, 1] (w:1, o:69, a:1, s:1, b:0),
% 2.14/2.58 'class_Orderings_Opreorder' [59, 1] (w:1, o:70, a:1, s:1, b:0),
% 2.14/2.58 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [60, 1]
% 2.14/2.58 (w:1, o:71, a:1, s:1, b:0),
% 2.14/2.58 'class_Ring__and__Field_Oordered__idom' [62, 1] (w:1, o:72, a:1, s:1
% 2.14/2.58 , b:0),
% 2.14/2.58 'class_Orderings_Olinorder' [63, 1] (w:1, o:73, a:1, s:1, b:0),
% 2.14/2.58 'c_HOL_Otimes__class_Otimes' [64, 3] (w:1, o:165, a:1, s:1, b:0),
% 2.14/2.58 'class_Ring__and__Field_Ofield' [65, 1] (w:1, o:74, a:1, s:1, b:0),
% 2.14/2.58 'class_Ring__and__Field_Opordered__ring__abs' [66, 1] (w:1, o:80, a:1
% 2.14/2.58 , s:1, b:0),
% 2.14/2.58 'class_Ring__and__Field_Oordered__ring__strict' [67, 1] (w:1, o:75
% 2.14/2.58 , a:1, s:1, b:0),
% 2.14/2.58 'c_HOL_Osgn__class_Osgn' [68, 2] (w:1, o:155, a:1, s:1, b:0),
% 2.14/2.58 'class_Ring__and__Field_Ocomm__semiring__1' [69, 1] (w:1, o:64, a:1
% 2.14/2.58 , s:1, b:0),
% 2.14/2.58 'class_Ring__and__Field_Oidom' [70, 1] (w:1, o:81, a:1, s:1, b:0),
% 2.14/2.58 'class_Int_Onumber__ring' [71, 1] (w:1, o:82, a:1, s:1, b:0),
% 2.14/2.58 'class_OrderedGroup_Omonoid__add' [72, 1] (w:1, o:85, a:1, s:1, b:0)
% 2.14/2.58 ,
% 2.14/2.58 'class_RealVector_Oreal__normed__vector' [73, 1] (w:1, o:86, a:1, s:1
% 2.14/2.58 , b:0),
% 2.14/2.58 'class_RealVector_Oreal__normed__field' [74, 1] (w:1, o:87, a:1, s:1
% 2.14/2.58 , b:0),
% 2.14/2.58 'class_OrderedGroup_Opordered__ab__group__add__abs' [75, 1] (w:1, o:
% 2.14/2.58 88, a:1, s:1, b:0),
% 2.14/2.58 'class_OrderedGroup_Olordered__ab__group__add' [76, 1] (w:1, o:83, a:
% 2.14/2.58 1, s:1, b:0),
% 2.14/2.58 'class_Ring__and__Field_Osgn__if' [77, 1] (w:1, o:93, a:1, s:1, b:0)
% 2.14/2.58 ,
% 2.14/2.58 'class_Ring__and__Field_Oordered__semidom' [79, 1] (w:1, o:76, a:1
% 2.14/2.58 , s:1, b:0),
% 2.14/2.58 'c_Nat_Osemiring__1__class_Oof__nat' [81, 2] (w:1, o:156, a:1, s:1
% 2.14/2.58 , b:0),
% 2.14/2.58 'c_Suc' [83, 1] (w:1, o:94, a:1, s:1, b:0),
% 2.14/2.58 'tc_nat' [84, 0] (w:1, o:33, a:1, s:1, b:0),
% 2.14/2.58 'c_Parity_Oeven__odd__class_Oeven' [85, 2] (w:1, o:157, a:1, s:1, b:0
% 2.14/2.58 ),
% 2.14/2.58 'c_Int_OMin' [87, 0] (w:1, o:35, a:1, s:1, b:0),
% 2.14/2.58 'tc_Int_Oint' [88, 0] (w:1, o:36, a:1, s:1, b:0),
% 2.14/2.58 'c_Int_OBit1' [89, 1] (w:1, o:97, a:1, s:1, b:0),
% 2.14/2.58 'c_Power_Opower__class_Opower' [90, 3] (w:1, o:166, a:1, s:1, b:0),
% 2.14/2.58 'class_OrderedGroup_Oab__semigroup__add' [91, 1] (w:1, o:98, a:1, s:1
% 2.14/2.58 , b:0),
% 2.14/2.58 'class_OrderedGroup_Oab__group__add' [92, 1] (w:1, o:99, a:1, s:1, b:
% 2.14/2.58 0),
% 2.14/2.58 'class_Ring__and__Field_Olordered__ring' [93, 1] (w:1, o:100, a:1, s:
% 2.14/2.58 1, b:0),
% 2.14/2.58 'class_Nat_Osemiring__char__0' [95, 1] (w:1, o:56, a:1, s:1, b:0),
% 2.14/2.58 'class_OrderedGroup_Olordered__ab__group__add__abs' [96, 1] (w:1, o:
% 2.14/2.58 84, a:1, s:1, b:0),
% 2.14/2.58 'class_OrderedGroup_Opordered__ab__semigroup__add' [97, 1] (w:1, o:
% 2.14/2.58 101, a:1, s:1, b:0),
% 2.14/2.58 'c_HOL_Ouminus__class_Ouminus' [98, 2] (w:1, o:158, a:1, s:1, b:0),
% 2.14/2.58 'class_Ring__and__Field_Osemiring__1' [99, 1] (w:1, o:103, a:1, s:1
% 2.14/2.58 , b:0),
% 2.14/2.58 'class_RealVector_Oreal__normed__div__algebra' [100, 1] (w:1, o:104
% 2.14/2.58 , a:1, s:1, b:0),
% 2.14/2.58 'class_Ring__and__Field_Ocomm__semiring' [101, 1] (w:1, o:65, a:1, s:
% 2.14/2.58 1, b:0),
% 2.14/2.58 'class_RealVector_Oreal__normed__algebra' [102, 1] (w:1, o:105, a:1
% 2.14/2.58 , s:1, b:0),
% 2.14/2.58 'class_Ring__and__Field_Osemiring' [106, 1] (w:1, o:106, a:1, s:1, b:
% 2.14/2.58 0),
% 2.14/2.58 'c_HOL_Oone__class_Oone' [108, 1] (w:1, o:95, a:1, s:1, b:0),
% 2.14/2.58 'c_Int_Onumber__class_Onumber__of' [109, 2] (w:1, o:159, a:1, s:1, b:
% 2.14/2.58 0),
% 2.14/2.58 'class_OrderedGroup_Omonoid__mult' [110, 1] (w:1, o:107, a:1, s:1, b:
% 2.14/2.58 0),
% 2.14/2.58 'class_RealVector_Oreal__normed__algebra__1' [111, 1] (w:1, o:108, a:
% 2.14/2.58 1, s:1, b:0),
% 2.14/2.58 'c_Int_OPls' [116, 0] (w:1, o:40, a:1, s:1, b:0),
% 2.14/2.58 'c_Int_OBit0' [117, 1] (w:1, o:96, a:1, s:1, b:0),
% 2.14/2.58 'class_OrderedGroup_Ogroup__add' [120, 1] (w:1, o:109, a:1, s:1, b:0)
% 2.14/2.58 ,
% 2.14/2.58 'class_OrderedGroup_Opordered__ab__group__add' [121, 1] (w:1, o:110
% 2.14/2.58 , a:1, s:1, b:0),
% 2.14/2.58 'class_OrderedGroup_Ocancel__ab__semigroup__add' [122, 1] (w:1, o:111
% 2.14/2.58 , a:1, s:1, b:0),
% 2.14/2.58 'class_OrderedGroup_Ocancel__semigroup__add' [123, 1] (w:1, o:112, a:
% 2.14/2.58 1, s:1, b:0),
% 2.14/2.58 'c_Complex_Oii' [127, 0] (w:1, o:42, a:1, s:1, b:0),
% 2.14/2.58 'tc_Complex_Ocomplex' [128, 0] (w:1, o:43, a:1, s:1, b:0),
% 2.14/2.58 'class_Int_Onumber' [129, 1] (w:1, o:113, a:1, s:1, b:0),
% 13.14/13.50 'class_Ring__and__Field_Oordered__semiring__strict' [130, 1] (w:1, o:
% 13.14/13.50 77, a:1, s:1, b:0),
% 13.14/13.50 'class_Ring__and__Field_Oordered__semiring' [131, 1] (w:1, o:78, a:1
% 13.14/13.50 , s:1, b:0),
% 13.14/13.50 'class_Ring__and__Field_Oabs__if' [132, 1] (w:1, o:114, a:1, s:1, b:0
% 13.14/13.50 ),
% 13.14/13.50 'class_Ring__and__Field_Omult__mono1' [133, 1] (w:1, o:115, a:1, s:1
% 13.14/13.50 , b:0),
% 13.14/13.50 'class_Ring__and__Field_Omult__mono' [134, 1] (w:1, o:116, a:1, s:1
% 13.14/13.50 , b:0),
% 13.14/13.50 'class_Ring__and__Field_Opordered__ring' [135, 1] (w:1, o:117, a:1
% 13.14/13.50 , s:1, b:0),
% 13.14/13.50 'class_Ring__and__Field_Opordered__cancel__semiring' [137, 1] (w:1
% 13.14/13.50 , o:118, a:1, s:1, b:0),
% 13.14/13.50 'class_Ring__and__Field_Opordered__semiring' [138, 1] (w:1, o:119, a:
% 13.14/13.50 1, s:1, b:0),
% 13.14/13.50 'class_Ring__and__Field_Ocomm__ring__1' [139, 1] (w:1, o:63, a:1, s:1
% 13.14/13.50 , b:0),
% 13.14/13.50 'class_Ring__and__Field_Osemiring__0' [140, 1] (w:1, o:102, a:1, s:1
% 13.14/13.50 , b:0),
% 13.14/13.50 'class_Power_Opower' [141, 1] (w:1, o:123, a:1, s:1, b:0),
% 13.14/13.50 'class_OrderedGroup_Oordered__ab__group__add' [142, 1] (w:1, o:57, a:
% 13.14/13.50 1, s:1, b:0),
% 13.14/13.50 'class_Archimedean__Field_Oarchimedean__field' [145, 1] (w:1, o:124
% 13.14/13.50 , a:1, s:1, b:0),
% 13.14/13.50
% 13.14/13.50 'c_Archimedean__Field_Osko__Archimedean__Field__Xex__inverse__of__nat__less__1__1'
% 13.14/13.50 [146, 2] (w:1, o:160, a:1, s:1, b:0),
% 13.14/13.50 'c_FFT__Mirabelle_Oroot' [147, 1] (w:1, o:125, a:1, s:1, b:0),
% 13.14/13.50 'class_OrderedGroup_Oab__semigroup__mult' [151, 1] (w:1, o:120, a:1
% 13.14/13.50 , s:1, b:0),
% 13.14/13.50 'class_OrderedGroup_Ocomm__monoid__mult' [152, 1] (w:1, o:121, a:1
% 13.14/13.50 , s:1, b:0),
% 13.14/13.50 'class_OrderedGroup_Oab__semigroup__idem__mult' [153, 1] (w:1, o:122
% 13.14/13.50 , a:1, s:1, b:0),
% 13.14/13.50 'class_Ring__and__Field_Ozero__neq__one' [154, 1] (w:1, o:126, a:1
% 13.14/13.50 , s:1, b:0),
% 13.14/13.50 'class_Ring__and__Field_Ono__zero__divisors' [155, 1] (w:1, o:61, a:1
% 13.14/13.50 , s:1, b:0),
% 13.14/13.50 'class_Ring__and__Field_Omult__zero' [156, 1] (w:1, o:60, a:1, s:1
% 13.14/13.50 , b:0),
% 13.14/13.50 'class_Ring__and__Field_Oring__1__no__zero__divisors' [157, 1] (w:1
% 13.14/13.50 , o:89, a:1, s:1, b:0),
% 13.14/13.50 'class_Ring__and__Field_Oring' [159, 1] (w:1, o:90, a:1, s:1, b:0),
% 13.14/13.50 'class_Ring__and__Field_Oring__1' [161, 1] (w:1, o:91, a:1, s:1, b:0)
% 13.14/13.50 ,
% 13.14/13.50 'class_Ring__and__Field_Oring__no__zero__divisors' [162, 1] (w:1, o:
% 13.14/13.50 92, a:1, s:1, b:0),
% 13.14/13.50 'class_Lattices_Oboolean__algebra' [163, 1] (w:1, o:127, a:1, s:1, b:
% 13.14/13.50 0),
% 13.14/13.50 'class_Int_Oring__char__0' [164, 1] (w:1, o:128, a:1, s:1, b:0),
% 13.14/13.50 'class_Ring__and__Field_Oordered__comm__semiring__strict' [165, 1]
% 13.14/13.50 (w:1, o:79, a:1, s:1, b:0),
% 13.14/13.50 'v_n' [166, 0] (w:1, o:50, a:1, s:1, b:0).
% 13.14/13.50
% 13.14/13.50
% 13.14/13.50 Starting Search:
% 13.14/13.50
% 13.14/13.50 Resimplifying inuse:
% 13.14/13.50 Done
% 13.14/13.50
% 13.14/13.50
% 13.14/13.50 Intermediate Status:
% 13.14/13.50 Generated: 4234
% 13.14/13.50 Kept: 2290
% 13.14/13.50 Inuse: 161
% 13.14/13.50 Deleted: 0
% 13.14/13.50 Deletedinuse: 0
% 13.14/13.50
% 13.14/13.50 Resimplifying inuse:
% 13.14/13.50 Done
% 13.14/13.50
% 13.14/13.50 Resimplifying inuse:
% 13.14/13.50 Done
% 13.14/13.50
% 13.14/13.50
% 13.14/13.50 Intermediate Status:
% 13.14/13.50 Generated: 10106
% 13.14/13.50 Kept: 4290
% 13.14/13.50 Inuse: 223
% 13.14/13.50 Deleted: 2
% 13.14/13.50 Deletedinuse: 0
% 13.14/13.50
% 13.14/13.50 Resimplifying inuse:
% 13.14/13.50 Done
% 13.14/13.50
% 13.14/13.50 Resimplifying inuse:
% 13.14/13.50 Done
% 13.14/13.50
% 13.14/13.50
% 13.14/13.50 Intermediate Status:
% 13.14/13.50 Generated: 16307
% 13.14/13.50 Kept: 6389
% 13.14/13.50 Inuse: 308
% 13.14/13.50 Deleted: 3
% 13.14/13.50 Deletedinuse: 0
% 13.14/13.50
% 13.14/13.50 Resimplifying inuse:
% 13.14/13.50 Done
% 13.14/13.50
% 13.14/13.50 Resimplifying inuse:
% 13.14/13.50 Done
% 13.14/13.50
% 13.14/13.50
% 13.14/13.50 Intermediate Status:
% 13.14/13.50 Generated: 21611
% 13.14/13.50 Kept: 8420
% 13.14/13.50 Inuse: 367
% 13.14/13.50 Deleted: 3
% 13.14/13.50 Deletedinuse: 0
% 13.14/13.50
% 13.14/13.50 Resimplifying inuse:
% 13.14/13.50 Done
% 13.14/13.50
% 13.14/13.50
% 13.14/13.50 Intermediate Status:
% 13.14/13.50 Generated: 29971
% 13.14/13.50 Kept: 10746
% 13.14/13.50 Inuse: 417
% 13.14/13.50 Deleted: 4
% 13.14/13.50 Deletedinuse: 0
% 13.14/13.50
% 13.14/13.50 Resimplifying inuse:
% 13.14/13.50 Done
% 13.14/13.50
% 13.14/13.50 Resimplifying inuse:
% 13.14/13.50 Done
% 13.14/13.50
% 13.14/13.50
% 13.14/13.50 Intermediate Status:
% 13.14/13.50 Generated: 37104
% 13.14/13.50 Kept: 12808
% 13.14/13.50 Inuse: 446
% 13.14/13.50 Deleted: 5
% 13.14/13.50 Deletedinuse: 0
% 13.14/13.50
% 13.14/13.50 Resimplifying inuse:
% 13.14/13.50 Done
% 13.14/13.50
% 13.14/13.50 Resimplifying inuse:
% 13.14/13.50 Done
% 13.14/13.50
% 13.14/13.50
% 13.14/13.50 Intermediate Status:
% 13.14/13.50 Generated: 46837
% 13.14/13.50 Kept: 14907
% 13.14/13.50 Inuse: 539
% 13.14/13.50 Deleted: 7
% 13.14/13.50 Deletedinuse: 0
% 13.14/13.50
% 13.14/13.50 Resimplifying inuse:
% 13.14/13.50 Done
% 13.14/13.50
% 13.14/13.50 Resimplifying inuse:
% 13.14/13.50 Done
% 13.14/13.50
% 13.14/13.50
% 13.14/13.50 Intermediate Status:
% 13.14/13.50 Generated: 56059
% 13.14/13.50 Kept: 17151
% 13.14/13.50 Inuse: 564
% 13.14/13.50 Deleted: 7
% 13.14/13.50 Deletedinuse: 0
% 13.14/13.50
% 13.14/13.50 Resimplifying inuse:
% 13.14/13.50 Done
% 13.14/13.50
% 13.14/13.50 Resimplifying inuse:
% 13.14/13.50 Done
% 13.14/13.50
% 13.14/13.50
% 13.14/13.50 Intermediate Status:
% 13.14/13.50 Generated: 67411
% 13.14/13.50 Kept: 19670
% 13.14/13.50 Inuse: 592
% 13.14/13.50 Deleted: 9
% 13.14/13.50 Deletedinuse: 0
% 13.14/13.50
% 13.14/13.50 Resimplifying inuse:
% 43.55/43.93 Done
% 43.55/43.93
% 43.55/43.93 Resimplifying clauses:
% 43.55/43.93 Done
% 43.55/43.93
% 43.55/43.93
% 43.55/43.93 Intermediate Status:
% 43.55/43.93 Generated: 74194
% 43.55/43.93 Kept: 21730
% 43.55/43.93 Inuse: 597
% 43.55/43.93 Deleted: 302
% 43.55/43.93 Deletedinuse: 0
% 43.55/43.93
% 43.55/43.93 Resimplifying inuse:
% 43.55/43.93 Done
% 43.55/43.93
% 43.55/43.93 Resimplifying inuse:
% 43.55/43.93 Done
% 43.55/43.93
% 43.55/43.93
% 43.55/43.93 Intermediate Status:
% 43.55/43.93 Generated: 80583
% 43.55/43.93 Kept: 23750
% 43.55/43.93 Inuse: 642
% 43.55/43.93 Deleted: 303
% 43.55/43.93 Deletedinuse: 1
% 43.55/43.93
% 43.55/43.93 Resimplifying inuse:
% 43.55/43.93 Done
% 43.55/43.93
% 43.55/43.93 Resimplifying inuse:
% 43.55/43.93 Done
% 43.55/43.93
% 43.55/43.93
% 43.55/43.93 Intermediate Status:
% 43.55/43.93 Generated: 95650
% 43.55/43.93 Kept: 26246
% 43.55/43.93 Inuse: 662
% 43.55/43.93 Deleted: 303
% 43.55/43.93 Deletedinuse: 1
% 43.55/43.93
% 43.55/43.93 Resimplifying inuse:
% 43.55/43.93 Done
% 43.55/43.93
% 43.55/43.93 Resimplifying inuse:
% 43.55/43.93 Done
% 43.55/43.93
% 43.55/43.93
% 43.55/43.93 Intermediate Status:
% 43.55/43.93 Generated: 116533
% 43.55/43.93 Kept: 29100
% 43.55/43.93 Inuse: 702
% 43.55/43.93 Deleted: 303
% 43.55/43.93 Deletedinuse: 1
% 43.55/43.93
% 43.55/43.93 Resimplifying inuse:
% 43.55/43.93 Done
% 43.55/43.93
% 43.55/43.93 Resimplifying inuse:
% 43.55/43.93 Done
% 43.55/43.93
% 43.55/43.93
% 43.55/43.93 Intermediate Status:
% 43.55/43.93 Generated: 125995
% 43.55/43.93 Kept: 31260
% 43.55/43.93 Inuse: 752
% 43.55/43.93 Deleted: 303
% 43.55/43.93 Deletedinuse: 1
% 43.55/43.93
% 43.55/43.93 Resimplifying inuse:
% 43.55/43.93 Done
% 43.55/43.93
% 43.55/43.93 Resimplifying inuse:
% 43.55/43.93 Done
% 43.55/43.93
% 43.55/43.93
% 43.55/43.93 Intermediate Status:
% 43.55/43.93 Generated: 134261
% 43.55/43.93 Kept: 33465
% 43.55/43.93 Inuse: 790
% 43.55/43.93 Deleted: 305
% 43.55/43.93 Deletedinuse: 1
% 43.55/43.93
% 43.55/43.93 Resimplifying inuse:
% 43.55/43.93 Done
% 43.55/43.93
% 43.55/43.93 Resimplifying inuse:
% 43.55/43.93 Done
% 43.55/43.93
% 43.55/43.93
% 43.55/43.93 Intermediate Status:
% 43.55/43.93 Generated: 148484
% 43.55/43.93 Kept: 35475
% 43.55/43.93 Inuse: 811
% 43.55/43.93 Deleted: 305
% 43.55/43.93 Deletedinuse: 1
% 43.55/43.93
% 43.55/43.93 Resimplifying inuse:
% 43.55/43.93 Done
% 43.55/43.93
% 43.55/43.93 Resimplifying inuse:
% 43.55/43.93 Done
% 43.55/43.93
% 43.55/43.93
% 43.55/43.93 Intermediate Status:
% 43.55/43.93 Generated: 162451
% 43.55/43.93 Kept: 39156
% 43.55/43.93 Inuse: 865
% 43.55/43.93 Deleted: 305
% 43.55/43.93 Deletedinuse: 1
% 43.55/43.93
% 43.55/43.93 Resimplifying inuse:
% 43.55/43.93 Done
% 43.55/43.93
% 43.55/43.93
% 43.55/43.93 Intermediate Status:
% 43.55/43.93 Generated: 166522
% 43.55/43.93 Kept: 41186
% 43.55/43.93 Inuse: 870
% 43.55/43.93 Deleted: 307
% 43.55/43.93 Deletedinuse: 3
% 43.55/43.93
% 43.55/43.93 Resimplifying inuse:
% 43.55/43.93 Done
% 43.55/43.93
% 43.55/43.93 Resimplifying clauses:
% 43.55/43.93 Done
% 43.55/43.93
% 43.55/43.93
% 43.55/43.93 Intermediate Status:
% 43.55/43.93 Generated: 171206
% 43.55/43.93 Kept: 43395
% 43.55/43.93 Inuse: 875
% 43.55/43.93 Deleted: 615
% 43.55/43.93 Deletedinuse: 3
% 43.55/43.93
% 43.55/43.93 Resimplifying inuse:
% 43.55/43.93 Done
% 43.55/43.93
% 43.55/43.93 Resimplifying inuse:
% 43.55/43.93 Done
% 43.55/43.93
% 43.55/43.93
% 43.55/43.93 Intermediate Status:
% 43.55/43.93 Generated: 181096
% 43.55/43.93 Kept: 45409
% 43.55/43.93 Inuse: 910
% 43.55/43.93 Deleted: 616
% 43.55/43.93 Deletedinuse: 3
% 43.55/43.93
% 43.55/43.93 Resimplifying inuse:
% 43.55/43.93 Done
% 43.55/43.93
% 43.55/43.93 Resimplifying inuse:
% 43.55/43.93 Done
% 43.55/43.93
% 43.55/43.93
% 43.55/43.93 Intermediate Status:
% 43.55/43.93 Generated: 195989
% 43.55/43.93 Kept: 47553
% 43.55/43.93 Inuse: 958
% 43.55/43.93 Deleted: 626
% 43.55/43.93 Deletedinuse: 7
% 43.55/43.93
% 43.55/43.93 Resimplifying inuse:
% 43.55/43.93 Done
% 43.55/43.93
% 43.55/43.93 Resimplifying inuse:
% 43.55/43.93 Done
% 43.55/43.93
% 43.55/43.93
% 43.55/43.93 Intermediate Status:
% 43.55/43.93 Generated: 206186
% 43.55/43.93 Kept: 49561
% 43.55/43.93 Inuse: 991
% 43.55/43.93 Deleted: 634
% 43.55/43.93 Deletedinuse: 13
% 43.55/43.93
% 43.55/43.93 Resimplifying inuse:
% 43.55/43.93 Done
% 43.55/43.93
% 43.55/43.93
% 43.55/43.93 Intermediate Status:
% 43.55/43.93 Generated: 220646
% 43.55/43.93 Kept: 52656
% 43.55/43.93 Inuse: 1016
% 43.55/43.93 Deleted: 634
% 43.55/43.93 Deletedinuse: 13
% 43.55/43.93
% 43.55/43.93 Resimplifying inuse:
% 43.55/43.93 Done
% 43.55/43.93
% 43.55/43.93
% 43.55/43.93 Intermediate Status:
% 43.55/43.93 Generated: 230322
% 43.55/43.93 Kept: 55094
% 43.55/43.93 Inuse: 1021
% 43.55/43.93 Deleted: 634
% 43.55/43.93 Deletedinuse: 13
% 43.55/43.93
% 43.55/43.93 Resimplifying inuse:
% 43.55/43.93 Done
% 43.55/43.93
% 43.55/43.93 Resimplifying inuse:
% 43.55/43.93 Done
% 43.55/43.93
% 43.55/43.93
% 43.55/43.93 Intermediate Status:
% 43.55/43.93 Generated: 254211
% 43.55/43.93 Kept: 57434
% 43.55/43.93 Inuse: 1036
% 43.55/43.93 Deleted: 634
% 43.55/43.93 Deletedinuse: 13
% 43.55/43.93
% 43.55/43.93 Resimplifying inuse:
% 43.55/43.93 Done
% 43.55/43.93
% 43.55/43.93
% 43.55/43.93 Intermediate Status:
% 43.55/43.93 Generated: 270670
% 43.55/43.93 Kept: 59515
% 43.55/43.93 Inuse: 1056
% 43.55/43.93 Deleted: 634
% 43.55/43.93 Deletedinuse: 13
% 43.55/43.93
% 43.55/43.93 Resimplifying inuse:
% 43.55/43.93 Done
% 43.55/43.93
% 43.55/43.93 Resimplifying inuse:
% 43.55/43.93 Done
% 43.55/43.93
% 43.55/43.93 Resimplifying clauses:
% 43.55/43.93 Done
% 43.55/43.93
% 43.55/43.93
% 43.55/43.93 Intermediate Status:
% 43.55/43.93 Generated: 281931
% 43.55/43.93 Kept: 61567
% 43.55/43.93 Inuse: 1076
% 43.55/43.93 Deleted: 1004
% 43.55/43.93 Deletedinuse: 13
% 43.55/43.93
% 43.55/43.93 Resimplifying inuse:
% 43.55/43.93 Done
% 43.55/43.93
% 43.55/43.93 Resimplifying inuse:
% 43.55/43.93 Done
% 43.55/43.93
% 43.55/43.93
% 43.55/43.93 Intermediate Status:
% 43.55/43.93 Generated: 293164
% 43.55/43.93 Kept: 63660
% 43.55/43.93 Inuse: 1111
% 43.55/43.93 Deleted: 1004
% 43.55/43.93 Deletedinuse: 13
% 43.55/43.93
% 43.55/43.93 Resimplifying inuse:
% 43.55/43.93 Done
% 43.55/43.93
% 43.55/43.93 Resimplifying inuse:
% 43.55/43.93 Done
% 43.55/43.93
% 43.55/43.93
% 43.55/43.93 Intermediate Status:
% 43.55/43.93 Generated: 306976
% 43.55/43.93 Kept: 65759
% 43.55/43.93 Inuse: 1146
% 43.55/43.93 Deleted: 1004
% 43.55/43.93 Deletedinuse: 13
% 43.55/43.93
% 43.55/43.93 Resimplifying inuse:
% 43.55/43.93 Done
% 43.55/43.93
% 43.55/43.93
% 43.55/43.93 Intermediate Status:
% 43.55/43.93 Generated: 319373
% 43.55/43.93 Kept: 69440
% 43.55/43.93 Inuse: 1151
% 43.55/43.93 Deleted: 1004
% 43.55/43.93 Deletedinuse: 13
% 43.55/43.93
% 43.55/43.93 Resimplifying inuse:
% 43.55/43.93 Done
% 43.55/43.93
% 43.55/43.93 Resimplifying inuse:
% 43.55/43.93 Done
% 43.55/43.93
% 43.55/43.93
% 43.55/43.93 Intermediate Status:
% 43.55/43.93 Generated: 329330
% 43.55/43.93 Kept: 71565
% 43.55/43.93 Inuse: 1186
% 43.55/43.93 Deleted: 1004
% 43.55/43.93 Deletedinuse: 13
% 43.55/43.93
% 43.55/43.93 Resimplifying inuse:
% 43.55/43.93 Done
% 43.55/43.93
% 43.55/43.93 Resimplifying inuse:
% 43.55/43.93 Done
% 43.55/43.93
% 43.55/43.93
% 43.55/43.93 Intermediate Status:
% 43.55/43.93 Generated: 339517
% 43.55/43.93 Kept: 73646
% 43.55/43.93 Inuse: 1216
% 43.55/43.93 Deleted: 1004
% 43.55/43.93 Deletedinuse: 13
% 43.55/43.93
% 43.55/43.93 Resimplifying inuse:
% 43.55/43.93 Done
% 43.55/43.93
% 43.55/43.93
% 43.55/43.93 Intermediate Status:
% 43.55/43.93 Generated: 351480
% 43.55/43.93 Kept: 75747
% 43.55/43.93 Inuse: 1241
% 43.55/43.93 Deleted: 1004
% 43.55/43.93 Deletedinuse: 13
% 43.55/43.93
% 43.55/43.93 Resimplifying inuse:
% 43.55/43.93 Done
% 43.55/43.93
% 43.55/43.93 Resimplifying inuse:
% 43.55/43.93 Done
% 43.55/43.93
% 43.55/43.93
% 43.55/43.93 Intermediate Status:
% 43.55/43.93 Generated: 362440
% 43.55/43.93 Kept: 77755
% 43.55/43.93 Inuse: 1277
% 121.29/121.70 Deleted: 1004
% 121.29/121.70 Deletedinuse: 13
% 121.29/121.70
% 121.29/121.70 Resimplifying inuse:
% 121.29/121.70 Done
% 121.29/121.70
% 121.29/121.70 Resimplifying inuse:
% 121.29/121.70 Done
% 121.29/121.70
% 121.29/121.70
% 121.29/121.70 Intermediate Status:
% 121.29/121.70 Generated: 372989
% 121.29/121.70 Kept: 79907
% 121.29/121.70 Inuse: 1311
% 121.29/121.70 Deleted: 1004
% 121.29/121.70 Deletedinuse: 13
% 121.29/121.70
% 121.29/121.70 Resimplifying inuse:
% 121.29/121.70 Done
% 121.29/121.70
% 121.29/121.70 Resimplifying inuse:
% 121.29/121.70 Done
% 121.29/121.70
% 121.29/121.70 Resimplifying clauses:
% 121.29/121.70 Done
% 121.29/121.70
% 121.29/121.70
% 121.29/121.70 Intermediate Status:
% 121.29/121.70 Generated: 383620
% 121.29/121.70 Kept: 81920
% 121.29/121.70 Inuse: 1342
% 121.29/121.70 Deleted: 1387
% 121.29/121.70 Deletedinuse: 13
% 121.29/121.70
% 121.29/121.70 Resimplifying inuse:
% 121.29/121.70 Done
% 121.29/121.70
% 121.29/121.70
% 121.29/121.70 Intermediate Status:
% 121.29/121.70 Generated: 395291
% 121.29/121.70 Kept: 85503
% 121.29/121.70 Inuse: 1346
% 121.29/121.70 Deleted: 1387
% 121.29/121.70 Deletedinuse: 13
% 121.29/121.70
% 121.29/121.70 Resimplifying inuse:
% 121.29/121.70 Done
% 121.29/121.70
% 121.29/121.70 Resimplifying inuse:
% 121.29/121.70 Done
% 121.29/121.70
% 121.29/121.70
% 121.29/121.70 Intermediate Status:
% 121.29/121.70 Generated: 408632
% 121.29/121.70 Kept: 87569
% 121.29/121.70 Inuse: 1381
% 121.29/121.70 Deleted: 1387
% 121.29/121.70 Deletedinuse: 13
% 121.29/121.70
% 121.29/121.70 Resimplifying inuse:
% 121.29/121.70 Done
% 121.29/121.70
% 121.29/121.70
% 121.29/121.70 Intermediate Status:
% 121.29/121.70 Generated: 419294
% 121.29/121.70 Kept: 89810
% 121.29/121.70 Inuse: 1396
% 121.29/121.70 Deleted: 1387
% 121.29/121.70 Deletedinuse: 13
% 121.29/121.70
% 121.29/121.70 Resimplifying inuse:
% 121.29/121.70 Done
% 121.29/121.70
% 121.29/121.70
% 121.29/121.70 Intermediate Status:
% 121.29/121.70 Generated: 456934
% 121.29/121.70 Kept: 93258
% 121.29/121.70 Inuse: 1416
% 121.29/121.70 Deleted: 1387
% 121.29/121.70 Deletedinuse: 13
% 121.29/121.70
% 121.29/121.70 Resimplifying inuse:
% 121.29/121.70 Done
% 121.29/121.70
% 121.29/121.70 Resimplifying inuse:
% 121.29/121.70 Done
% 121.29/121.70
% 121.29/121.70
% 121.29/121.70 Intermediate Status:
% 121.29/121.70 Generated: 476864
% 121.29/121.70 Kept: 95624
% 121.29/121.70 Inuse: 1441
% 121.29/121.70 Deleted: 1387
% 121.29/121.70 Deletedinuse: 13
% 121.29/121.70
% 121.29/121.70 Resimplifying inuse:
% 121.29/121.70 Done
% 121.29/121.70
% 121.29/121.70 Resimplifying inuse:
% 121.29/121.70 Done
% 121.29/121.70
% 121.29/121.70
% 121.29/121.70 Intermediate Status:
% 121.29/121.70 Generated: 487396
% 121.29/121.70 Kept: 97664
% 121.29/121.70 Inuse: 1466
% 121.29/121.70 Deleted: 1387
% 121.29/121.70 Deletedinuse: 13
% 121.29/121.70
% 121.29/121.70 Resimplifying inuse:
% 121.29/121.70 Done
% 121.29/121.70
% 121.29/121.70 Resimplifying inuse:
% 121.29/121.70 Done
% 121.29/121.70
% 121.29/121.70
% 121.29/121.70 Intermediate Status:
% 121.29/121.70 Generated: 496867
% 121.29/121.70 Kept: 99758
% 121.29/121.70 Inuse: 1486
% 121.29/121.70 Deleted: 1387
% 121.29/121.70 Deletedinuse: 13
% 121.29/121.70
% 121.29/121.70 Resimplifying inuse:
% 121.29/121.70 Done
% 121.29/121.70
% 121.29/121.70 Resimplifying inuse:
% 121.29/121.70 Done
% 121.29/121.70
% 121.29/121.70
% 121.29/121.70 Intermediate Status:
% 121.29/121.70 Generated: 507509
% 121.29/121.70 Kept: 101779
% 121.29/121.70 Inuse: 1506
% 121.29/121.70 Deleted: 1387
% 121.29/121.70 Deletedinuse: 13
% 121.29/121.70
% 121.29/121.70 Resimplifying inuse:
% 121.29/121.70 Done
% 121.29/121.70
% 121.29/121.70 Resimplifying clauses:
% 121.29/121.70 Done
% 121.29/121.70
% 121.29/121.70 Resimplifying inuse:
% 121.29/121.70 Done
% 121.29/121.70
% 121.29/121.70
% 121.29/121.70 Intermediate Status:
% 121.29/121.70 Generated: 519763
% 121.29/121.70 Kept: 104234
% 121.29/121.70 Inuse: 1526
% 121.29/121.70 Deleted: 1658
% 121.29/121.70 Deletedinuse: 13
% 121.29/121.70
% 121.29/121.70 Resimplifying inuse:
% 121.29/121.70 Done
% 121.29/121.70
% 121.29/121.70 Resimplifying inuse:
% 121.29/121.70 Done
% 121.29/121.70
% 121.29/121.70
% 121.29/121.70 Intermediate Status:
% 121.29/121.70 Generated: 531039
% 121.29/121.70 Kept: 106249
% 121.29/121.70 Inuse: 1542
% 121.29/121.70 Deleted: 1658
% 121.29/121.70 Deletedinuse: 13
% 121.29/121.70
% 121.29/121.70 Resimplifying inuse:
% 121.29/121.70 Done
% 121.29/121.70
% 121.29/121.70 Resimplifying inuse:
% 121.29/121.70 Done
% 121.29/121.70
% 121.29/121.70
% 121.29/121.70 Intermediate Status:
% 121.29/121.70 Generated: 543192
% 121.29/121.70 Kept: 108320
% 121.29/121.70 Inuse: 1563
% 121.29/121.70 Deleted: 1658
% 121.29/121.70 Deletedinuse: 13
% 121.29/121.70
% 121.29/121.70 Resimplifying inuse:
% 121.29/121.70 Done
% 121.29/121.70
% 121.29/121.70
% 121.29/121.70 Intermediate Status:
% 121.29/121.70 Generated: 553247
% 121.29/121.70 Kept: 110349
% 121.29/121.70 Inuse: 1580
% 121.29/121.70 Deleted: 1658
% 121.29/121.70 Deletedinuse: 13
% 121.29/121.70
% 121.29/121.70 Resimplifying inuse:
% 121.29/121.70 Done
% 121.29/121.70
% 121.29/121.70 Resimplifying inuse:
% 121.29/121.70 Done
% 121.29/121.70
% 121.29/121.70
% 121.29/121.70 Intermediate Status:
% 121.29/121.70 Generated: 566496
% 121.29/121.70 Kept: 112549
% 121.29/121.70 Inuse: 1601
% 121.29/121.70 Deleted: 1658
% 121.29/121.70 Deletedinuse: 13
% 121.29/121.70
% 121.29/121.70 Resimplifying inuse:
% 121.29/121.70 Done
% 121.29/121.70
% 121.29/121.70 Resimplifying inuse:
% 121.29/121.70 Done
% 121.29/121.70
% 121.29/121.70
% 121.29/121.70 Intermediate Status:
% 121.29/121.70 Generated: 577675
% 121.29/121.70 Kept: 114716
% 121.29/121.70 Inuse: 1621
% 121.29/121.70 Deleted: 1658
% 121.29/121.70 Deletedinuse: 13
% 121.29/121.70
% 121.29/121.70 Resimplifying inuse:
% 121.29/121.70 Done
% 121.29/121.70
% 121.29/121.70 Resimplifying inuse:
% 121.29/121.70 Done
% 121.29/121.70
% 121.29/121.70
% 121.29/121.70 Intermediate Status:
% 121.29/121.70 Generated: 584165
% 121.29/121.70 Kept: 116735
% 121.29/121.70 Inuse: 1642
% 121.29/121.70 Deleted: 1658
% 121.29/121.70 Deletedinuse: 13
% 121.29/121.70
% 121.29/121.70 Resimplifying inuse:
% 121.29/121.70 Done
% 121.29/121.70
% 121.29/121.70 Resimplifying inuse:
% 121.29/121.70 Done
% 121.29/121.70
% 121.29/121.70
% 121.29/121.70 Intermediate Status:
% 121.29/121.70 Generated: 591517
% 121.29/121.70 Kept: 118735
% 121.29/121.70 Inuse: 1663
% 121.29/121.70 Deleted: 1658
% 121.29/121.70 Deletedinuse: 13
% 121.29/121.70
% 121.29/121.70 Resimplifying inuse:
% 121.29/121.70 Done
% 121.29/121.70
% 121.29/121.70 Resimplifying inuse:
% 121.29/121.70 Done
% 121.29/121.70
% 121.29/121.70
% 121.29/121.70 Intermediate Status:
% 121.29/121.70 Generated: 601884
% 121.29/121.70 Kept: 120979
% 121.29/121.70 Inuse: 1686
% 121.29/121.70 Deleted: 1658
% 121.29/121.70 Deletedinuse: 13
% 121.29/121.70
% 121.29/121.70 Resimplifying inuse:
% 121.29/121.70 Done
% 121.29/121.70
% 121.29/121.70 Resimplifying clauses:
% 121.29/121.70 Done
% 121.29/121.70
% 121.29/121.70 Resimplifying inuse:
% 121.29/121.70 Done
% 121.29/121.70
% 121.29/121.70
% 121.29/121.70 Intermediate Status:
% 121.29/121.70 Generated: 611708
% 121.29/121.70 Kept: 123156
% 121.29/121.70 Inuse: 1711
% 121.29/121.70 Deleted: 2263
% 121.29/121.70 Deletedinuse: 13
% 121.29/121.70
% 121.29/121.70 Resimplifying inuse:
% 121.29/121.70 Done
% 121.29/121.70
% 121.29/121.70
% 121.29/121.70 Intermediate Status:
% 121.29/121.70 Generated: 624001
% 121.29/121.70 Kept: 126012
% 121.29/121.70 Inuse: 1726
% 121.29/121.70 Deleted: 2263
% 121.29/121.70 Deletedinuse: 13
% 121.29/121.70
% 121.29/121.70 Resimplifying inuse:
% 121.29/121.70 Done
% 121.29/121.70
% 121.29/121.70 Resimplifying inuse:
% 121.29/121.70 Done
% 121.29/121.70
% 121.29/121.70
% 121.29/121.70 Intermediate Status:
% 121.29/121.70 Generated: 633460
% 121.29/121.70 Kept: 128020
% 121.29/121.70 Inuse: 1758
% 121.29/121.70 Deleted: 2263
% 121.29/121.70 Deletedinuse: 13
% 121.29/121.70
% 121.29/121.70 Resimplifying inuse:
% 121.29/121.70 Done
% 121.29/121.70
% 121.29/121.70 Resimplifying inuse:
% 121.29/121.70 Done
% 121.29/121.70
% 121.29/121.70
% 121.29/121.70 Intermediate Status:
% 121.29/121.70 Generated: 645625
% 121.29/121.70 Kept: 130335
% 121.29/121.70 Inuse: 1771
% 121.29/121.70 Deleted: 2264
% 121.29/121.70 Deletedinuse: 14
% 121.29/121.70
% 121.29/121.70 Resimplifying inuse:
% 121.29/121.70 Done
% 121.29/121.70
% 121.29/121.70 Resimplifying inuse:
% 121.29/121.70 Done
% 121.29/121.70
% 121.29/121.70
% 121.29/121.70 Intermediate Status:
% 121.29/121.70 Generated: 656238
% 121.29/121.70 Kept: 132371
% 252.24/252.66 Inuse: 1791
% 252.24/252.66 Deleted: 2264
% 252.24/252.66 Deletedinuse: 14
% 252.24/252.66
% 252.24/252.66 Resimplifying inuse:
% 252.24/252.66 Done
% 252.24/252.66
% 252.24/252.66 Resimplifying inuse:
% 252.24/252.66 Done
% 252.24/252.66
% 252.24/252.66
% 252.24/252.66 Intermediate Status:
% 252.24/252.66 Generated: 668188
% 252.24/252.66 Kept: 134592
% 252.24/252.66 Inuse: 1811
% 252.24/252.66 Deleted: 2264
% 252.24/252.66 Deletedinuse: 14
% 252.24/252.66
% 252.24/252.66
% 252.24/252.66 Intermediate Status:
% 252.24/252.66 Generated: 699253
% 252.24/252.66 Kept: 137068
% 252.24/252.66 Inuse: 1816
% 252.24/252.66 Deleted: 2264
% 252.24/252.66 Deletedinuse: 14
% 252.24/252.66
% 252.24/252.66 Resimplifying inuse:
% 252.24/252.66 Done
% 252.24/252.66
% 252.24/252.66 Resimplifying inuse:
% 252.24/252.66 Done
% 252.24/252.66
% 252.24/252.66
% 252.24/252.66 Intermediate Status:
% 252.24/252.66 Generated: 717841
% 252.24/252.66 Kept: 140056
% 252.24/252.66 Inuse: 1826
% 252.24/252.66 Deleted: 2264
% 252.24/252.66 Deletedinuse: 14
% 252.24/252.66
% 252.24/252.66 Resimplifying inuse:
% 252.24/252.66 Done
% 252.24/252.66
% 252.24/252.66
% 252.24/252.66 Intermediate Status:
% 252.24/252.66 Generated: 740273
% 252.24/252.66 Kept: 145584
% 252.24/252.66 Inuse: 1832
% 252.24/252.66 Deleted: 2264
% 252.24/252.66 Deletedinuse: 14
% 252.24/252.66
% 252.24/252.66 Resimplifying inuse:
% 252.24/252.66 Done
% 252.24/252.66
% 252.24/252.66 Resimplifying clauses:
% 252.24/252.66 Done
% 252.24/252.66
% 252.24/252.66 Resimplifying inuse:
% 252.24/252.66 Done
% 252.24/252.66
% 252.24/252.66
% 252.24/252.66 Intermediate Status:
% 252.24/252.66 Generated: 749860
% 252.24/252.66 Kept: 147604
% 252.24/252.66 Inuse: 1855
% 252.24/252.66 Deleted: 2472
% 252.24/252.66 Deletedinuse: 14
% 252.24/252.66
% 252.24/252.66 Resimplifying inuse:
% 252.24/252.66 Done
% 252.24/252.66
% 252.24/252.66 Resimplifying inuse:
% 252.24/252.66 Done
% 252.24/252.66
% 252.24/252.66
% 252.24/252.66 Intermediate Status:
% 252.24/252.66 Generated: 759430
% 252.24/252.66 Kept: 149625
% 252.24/252.66 Inuse: 1874
% 252.24/252.66 Deleted: 2475
% 252.24/252.67 Deletedinuse: 17
% 252.24/252.67
% 252.24/252.67 Resimplifying inuse:
% 252.24/252.67 Done
% 252.24/252.67
% 252.24/252.67
% 252.24/252.67 Intermediate Status:
% 252.24/252.67 Generated: 774946
% 252.24/252.67 Kept: 151693
% 252.24/252.67 Inuse: 1890
% 252.24/252.67 Deleted: 2476
% 252.24/252.67 Deletedinuse: 17
% 252.24/252.67
% 252.24/252.67 Resimplifying inuse:
% 252.24/252.67 Done
% 252.24/252.67
% 252.24/252.67 Resimplifying inuse:
% 252.24/252.67 Done
% 252.24/252.67
% 252.24/252.67
% 252.24/252.67 Intermediate Status:
% 252.24/252.67 Generated: 815025
% 252.24/252.67 Kept: 155247
% 252.24/252.67 Inuse: 1915
% 252.24/252.67 Deleted: 2476
% 252.24/252.67 Deletedinuse: 17
% 252.24/252.67
% 252.24/252.67 Resimplifying inuse:
% 252.24/252.67 Done
% 252.24/252.67
% 252.24/252.67 Resimplifying inuse:
% 252.24/252.67 Done
% 252.24/252.67
% 252.24/252.67
% 252.24/252.67 Intermediate Status:
% 252.24/252.67 Generated: 847356
% 252.24/252.67 Kept: 157559
% 252.24/252.67 Inuse: 1925
% 252.24/252.67 Deleted: 2476
% 252.24/252.67 Deletedinuse: 17
% 252.24/252.67
% 252.24/252.67 Resimplifying inuse:
% 252.24/252.67 Done
% 252.24/252.67
% 252.24/252.67
% 252.24/252.67 Intermediate Status:
% 252.24/252.67 Generated: 857191
% 252.24/252.67 Kept: 159779
% 252.24/252.67 Inuse: 1940
% 252.24/252.67 Deleted: 2476
% 252.24/252.67 Deletedinuse: 17
% 252.24/252.67
% 252.24/252.67 Resimplifying inuse:
% 252.24/252.67 Done
% 252.24/252.67
% 252.24/252.67 Resimplifying inuse:
% 252.24/252.67 Done
% 252.24/252.67
% 252.24/252.67
% 252.24/252.67 Intermediate Status:
% 252.24/252.67 Generated: 865335
% 252.24/252.67 Kept: 161790
% 252.24/252.67 Inuse: 1958
% 252.24/252.67 Deleted: 2476
% 252.24/252.67 Deletedinuse: 17
% 252.24/252.67
% 252.24/252.67 Resimplifying inuse:
% 252.24/252.67 Done
% 252.24/252.67
% 252.24/252.67
% 252.24/252.67 Intermediate Status:
% 252.24/252.67 Generated: 877287
% 252.24/252.67 Kept: 164104
% 252.24/252.67 Inuse: 1965
% 252.24/252.67 Deleted: 2476
% 252.24/252.67 Deletedinuse: 17
% 252.24/252.67
% 252.24/252.67 Resimplifying inuse:
% 252.24/252.67 Done
% 252.24/252.67
% 252.24/252.67 Resimplifying inuse:
% 252.24/252.67 Done
% 252.24/252.67
% 252.24/252.67 Resimplifying clauses:
% 252.24/252.67 Done
% 252.24/252.67
% 252.24/252.67
% 252.24/252.67 Intermediate Status:
% 252.24/252.67 Generated: 889979
% 252.24/252.67 Kept: 166216
% 252.24/252.67 Inuse: 1975
% 252.24/252.67 Deleted: 3196
% 252.24/252.67 Deletedinuse: 17
% 252.24/252.67
% 252.24/252.67
% 252.24/252.67 Intermediate Status:
% 252.24/252.67 Generated: 913897
% 252.24/252.67 Kept: 169113
% 252.24/252.67 Inuse: 1980
% 252.24/252.67 Deleted: 3196
% 252.24/252.67 Deletedinuse: 17
% 252.24/252.67
% 252.24/252.67 Resimplifying inuse:
% 252.24/252.67 Done
% 252.24/252.67
% 252.24/252.67 Resimplifying inuse:
% 252.24/252.67 Done
% 252.24/252.67
% 252.24/252.67
% 252.24/252.67 Intermediate Status:
% 252.24/252.67 Generated: 923931
% 252.24/252.67 Kept: 171428
% 252.24/252.67 Inuse: 2005
% 252.24/252.67 Deleted: 3197
% 252.24/252.67 Deletedinuse: 18
% 252.24/252.67
% 252.24/252.67 Resimplifying inuse:
% 252.24/252.67 Done
% 252.24/252.67
% 252.24/252.67 Resimplifying inuse:
% 252.24/252.67 Done
% 252.24/252.67
% 252.24/252.67
% 252.24/252.67 Intermediate Status:
% 252.24/252.67 Generated: 939071
% 252.24/252.67 Kept: 173928
% 252.24/252.67 Inuse: 2020
% 252.24/252.67 Deleted: 3197
% 252.24/252.67 Deletedinuse: 18
% 252.24/252.67
% 252.24/252.67 Resimplifying inuse:
% 252.24/252.67 Done
% 252.24/252.67
% 252.24/252.67 Resimplifying inuse:
% 252.24/252.67 Done
% 252.24/252.67
% 252.24/252.67
% 252.24/252.67 Intermediate Status:
% 252.24/252.67 Generated: 969671
% 252.24/252.67 Kept: 181014
% 252.24/252.67 Inuse: 2034
% 252.24/252.67 Deleted: 3197
% 252.24/252.67 Deletedinuse: 18
% 252.24/252.67
% 252.24/252.67 Resimplifying inuse:
% 252.24/252.67 Done
% 252.24/252.67
% 252.24/252.67 Resimplifying inuse:
% 252.24/252.67 Done
% 252.24/252.67
% 252.24/252.67
% 252.24/252.67 Intermediate Status:
% 252.24/252.67 Generated: 980825
% 252.24/252.67 Kept: 183244
% 252.24/252.67 Inuse: 2040
% 252.24/252.67 Deleted: 3197
% 252.24/252.67 Deletedinuse: 18
% 252.24/252.67
% 252.24/252.67 Resimplifying inuse:
% 252.24/252.67 Done
% 252.24/252.67
% 252.24/252.67 Resimplifying inuse:
% 252.24/252.67 Done
% 252.24/252.67
% 252.24/252.67
% 252.24/252.67 Intermediate Status:
% 252.24/252.67 Generated: 989398
% 252.24/252.67 Kept: 185287
% 252.24/252.67 Inuse: 2060
% 252.24/252.67 Deleted: 3197
% 252.24/252.67 Deletedinuse: 18
% 252.24/252.67
% 252.24/252.67 Resimplifying clauses:
% 252.24/252.67 Done
% 252.24/252.67
% 252.24/252.67 Resimplifying inuse:
% 252.24/252.67 Done
% 252.24/252.67
% 252.24/252.67 Resimplifying inuse:
% 252.24/252.67 Done
% 252.24/252.67
% 252.24/252.67
% 252.24/252.67 Intermediate Status:
% 252.24/252.67 Generated: 1000251
% 252.24/252.67 Kept: 187310
% 252.24/252.67 Inuse: 2087
% 252.24/252.67 Deleted: 3561
% 252.24/252.67 Deletedinuse: 20
% 252.24/252.67
% 252.24/252.67 Resimplifying inuse:
% 252.24/252.67 Done
% 252.24/252.67
% 252.24/252.67 Resimplifying inuse:
% 252.24/252.67 Done
% 252.24/252.67
% 252.24/252.67
% 252.24/252.67 Intermediate Status:
% 252.24/252.67 Generated: 1009394
% 252.24/252.67 Kept: 189324
% 252.24/252.67 Inuse: 2107
% 252.24/252.67 Deleted: 3564
% 252.24/252.67 Deletedinuse: 23
% 252.24/252.67
% 252.24/252.67 Resimplifying inuse:
% 252.24/252.67 Done
% 252.24/252.67
% 252.24/252.67
% 252.24/252.67 Intermediate Status:
% 252.24/252.67 Generated: 1022991
% 252.24/252.67 Kept: 191514
% 252.24/252.67 Inuse: 2129
% 252.24/252.67 Deleted: 3566
% 252.24/252.67 Deletedinuse: 25
% 252.24/252.67
% 252.24/252.67 Resimplifying inuse:
% 252.24/252.67 Done
% 252.24/252.67
% 252.24/252.67
% 252.24/252.67 Intermediate Status:
% 252.24/252.67 Generated: 1036268
% 252.24/252.67 Kept: 194169
% 252.24/252.67 Inuse: 2139
% 252.24/252.67 Deleted: 3567
% 252.24/252.67 Deletedinuse: 26
% 252.24/252.67
% 252.24/252.67 Resimplifying inuse:
% 252.24/252.67 Done
% 252.24/252.67
% 252.24/252.67
% 252.24/252.67 Intermediate Status:
% 252.24/252.67 Generated: 1069919
% 252.24/252.67 Kept: 198140
% 252.24/252.67 Inuse: 2144
% 252.24/252.67 Deleted: 3567
% 252.24/252.67 Deletedinuse: 26
% 252.24/252.67
% 252.24/252.67 Resimplifying inuse:
% 252.24/252.67 Done
% 252.24/252.67
% 252.24/252.67 Resimplifying inuse:
% 252.24/252.67 Done
% 252.24/252.67
% 252.24/252.67
% 252.24/252.67 IntCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------