TSTP Solution File: SWV603-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV603-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n008.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 16:27:03 EDT 2022
% Result : Unsatisfiable 2.78s 3.19s
% Output : Refutation 2.78s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SWV603-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n008.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Tue Jun 14 17:55:07 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.01/1.40 *** allocated 10000 integers for termspace/termends
% 1.01/1.40 *** allocated 10000 integers for clauses
% 1.01/1.40 *** allocated 10000 integers for justifications
% 1.01/1.40 *** allocated 15000 integers for termspace/termends
% 1.01/1.40 *** allocated 22500 integers for termspace/termends
% 1.01/1.40 *** allocated 33750 integers for termspace/termends
% 1.01/1.40 Bliksem 1.12
% 1.01/1.40
% 1.01/1.40
% 1.01/1.40 Automatic Strategy Selection
% 1.01/1.40
% 1.01/1.40 Clauses:
% 1.01/1.40 [
% 1.01/1.40 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 Z, T, X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.01/1.40 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 1.01/1.40 X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.01/1.40 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 Y, T, X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 Y, T, X ) ) ],
% 1.01/1.40 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 1.01/1.40 ,
% 1.01/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 1.01/1.40 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Z, Y,
% 1.01/1.40 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( X, Z, 'tc_RealDef_Oreal' ) ) ]
% 1.01/1.40 ,
% 1.01/1.40 [ 'c_lessequals'( X, X, 'tc_RealDef_Oreal' ) ],
% 1.01/1.40 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.01/1.40 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 1.01/1.40 , X ) ) ],
% 1.01/1.40 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.01/1.40 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 1.01/1.40 , X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.40 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~(
% 1.01/1.40 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( Z, U, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.01/1.40 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.01/1.40 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.01/1.40 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 1.01/1.40 ) ) ],
% 1.01/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.01/1.40 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 1.01/1.40 ) ) ],
% 1.01/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.01/1.40 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.01/1.40 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 1.01/1.40 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), T, X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 1.01/1.40 ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 1.01/1.40 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.01/1.40 ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.01/1.40 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 1.01/1.40 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 1.01/1.40 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.01/1.40 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 1.01/1.40 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.01/1.40 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.01/1.40 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.01/1.40 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.01/1.40 'c_lessequals'( Z, Y, X ) ],
% 1.01/1.40 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), 'c_lessequals'( Y, X,
% 1.01/1.40 'tc_RealDef_Oreal' ) ],
% 1.01/1.40 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.01/1.40 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 1.01/1.40 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( T, Z, X ) )
% 1.01/1.40 ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, T, X ) ) ]
% 1.01/1.40 ,
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.01/1.40 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), Z, X ) ) ]
% 1.01/1.40 ,
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.01/1.40 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.01/1.40 'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ]
% 1.01/1.40 ,
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.01/1.40 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Y
% 1.01/1.40 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 1.01/1.40 ,
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 1.01/1.40 , 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 1.01/1.40 ,
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.40 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~(
% 1.01/1.40 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.40 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~(
% 1.01/1.40 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.01/1.40 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ]
% 1.01/1.40 ,
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.40 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~(
% 1.01/1.40 'c_lessequals'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ]
% 1.01/1.40 ,
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.40 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.40 ), X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.40 , X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.01/1.40 ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.40 ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.01/1.40 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ),
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.40 ), Y, X ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'(
% 1.01/1.40 Z, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.01/1.40 ), X ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T,
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.01/1.40 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 Z, T, X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.01/1.40 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 1.01/1.40 X ), X ) ) ],
% 1.01/1.40 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.01/1.40 'tc_RealDef_Oreal' ) ), 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( X ),
% 1.01/1.40 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ),
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Osin'( X ),
% 1.01/1.40 'c_Transcendental_Osin'( Y ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.01/1.40 ) ],
% 1.01/1.40 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.01/1.40 'tc_RealDef_Oreal' ) ), 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( Y ),
% 1.01/1.40 'c_Transcendental_Ocos'( X ), 'tc_RealDef_Oreal' ),
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Osin'( Y ),
% 1.01/1.40 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.01/1.40 ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.01/1.40 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.01/1.40 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 1.01/1.40 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.01/1.40 X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.01/1.40 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.01/1.40 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.01/1.40 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.01/1.40 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y
% 1.01/1.40 , Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X
% 1.01/1.40 ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 1.01/1.40 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ),
% 1.01/1.40 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ],
% 1.01/1.40 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ),
% 1.01/1.40 ~( 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.01/1.40 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.40 , X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 1.01/1.40 , X ) ) ],
% 1.01/1.40 [ =( 'c_Transcendental_Otan'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.01/1.40 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ), 'c_Transcendental_Otan'(
% 1.01/1.40 X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), Z ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( Z, Y, X ), X ), Z ) ],
% 1.01/1.40 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.01/1.40 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.40 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.40 , X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.40 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.01/1.40 ,
% 1.01/1.40 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_RealDef_Oreal'
% 1.01/1.40 ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.01/1.40 ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.40 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.01/1.40 ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.01/1.40 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.01/1.40 , Y, X ) ) ],
% 1.01/1.40 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 1.01/1.40 , X ) ) ],
% 1.01/1.40 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.01/1.40 , Y, X ) ) ],
% 1.01/1.40 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oone__class_Oone'(
% 1.01/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_NthRoot_Osqrt'( X ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.01/1.40 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.40 [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ),
% 1.01/1.40 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oone__class_Oone'(
% 1.01/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.40 [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.01/1.40 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) )
% 1.01/1.40 ],
% 1.01/1.40 [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X,
% 1.01/1.40 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'(
% 1.01/1.40 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ]
% 1.01/1.40 ,
% 1.01/1.40 [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.01/1.40 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) )
% 1.01/1.40 ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.01/1.40 ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.01/1.40 ), =( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z ) ],
% 1.01/1.40 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ), =( Y,
% 1.01/1.40 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 1.01/1.40 ), X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 1.01/1.40 , X ), W, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U
% 1.01/1.40 , X ), W, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, U, X ), Y, X
% 1.01/1.40 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, U, X ),
% 1.01/1.40 W, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 1.01/1.40 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 1.01/1.40 , X ), T, X ), W, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 1.01/1.40 , X ), U, X ), W, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), U, X
% 1.01/1.40 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, T, X ),
% 1.01/1.40 W, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.01/1.40 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.01/1.40 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 1.01/1.40 X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 1.01/1.40 X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 1.01/1.40 X ) ) ],
% 1.01/1.40 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.01/1.40 'tc_RealDef_Oreal' ) ), 'c_HOL_Ouminus__class_Ouminus'( 'c_NthRoot_Osqrt'(
% 1.01/1.40 X ), 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.01/1.40 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.01/1.40 W, X ) ) ), =( T, 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 1.01/1.40 , X ), W, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.01/1.40 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.01/1.40 W, X ) ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), W ) ],
% 1.01/1.40 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.01/1.40 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.01/1.40 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.40 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ),
% 1.01/1.40 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.40 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ouminus__class_Ouminus'( Y,
% 1.01/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_RealDef_Oreal' ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.01/1.40 ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.01/1.40 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.01/1.40 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 1.01/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.01/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.01/1.40 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.01/1.40 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 1.01/1.40 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.01/1.40 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.01/1.40 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.01/1.40 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 1.01/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.01/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.01/1.40 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.01/1.40 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 1.01/1.40 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.01/1.40 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.01/1.40 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.01/1.40 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oarctan'( X ),
% 1.01/1.40 'c_Transcendental_Oarctan'( Y ), 'tc_RealDef_Oreal' ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.01/1.40 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.01/1.40 , ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.01/1.40 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'(
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, U,
% 1.01/1.40 X ), X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'(
% 1.01/1.40 'c_HOL_Ominus__class_Ominus'( Y, T, X ), X ), 'c_HOL_Oabs__class_Oabs'(
% 1.01/1.40 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ), X ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.01/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.01/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.01/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.01/1.40 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 1.01/1.40 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.01/1.40 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.01/1.40 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ), 'tc_RealDef_Oreal' ) ) ]
% 1.01/1.40 ,
% 1.01/1.40 [ 'c_lessequals'( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ),
% 1.01/1.40 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ]
% 1.01/1.40 ,
% 1.01/1.40 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.01/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.40 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.40 'tc_RealDef_Oreal' ) ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.40 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), =( X,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.01/1.40 , 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ), =(
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( Y, T, X ), U ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.40 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.01/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.01/1.40 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.40 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.01/1.40 ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.40 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.40 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.01/1.40 ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.40 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.40 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.01/1.40 ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 1.01/1.40 X ) ) ), =( Y, T ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 1.01/1.40 X ) ) ), =( Z, T ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =(
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 1.01/1.40 X ) ) ), =( Z, T ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.01/1.40 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ],
% 1.01/1.40 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.01/1.40 ), 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.01/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.40 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.40 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'( X,
% 1.01/1.40 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_RealDef_Oreal' ),
% 1.01/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 Y, X, 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.01/1.40 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 1.01/1.40 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~(
% 1.01/1.40 'c_lessequals'( Y, Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.01/1.40 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 1.01/1.40 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~(
% 1.01/1.40 'c_lessequals'( Y, Z, X ) ) ],
% 1.01/1.40 [ 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ), Y,
% 1.01/1.40 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ),
% 1.01/1.40 ~( 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_RealDef_Oreal'
% 1.01/1.40 ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.40 [ =( 'c_Transcendental_Osin'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.01/1.40 'tc_RealDef_Oreal' ) ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.01/1.40 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.01/1.40 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.01/1.40 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.01/1.40 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.01/1.40 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ominus__class_Ominus'(
% 1.01/1.40 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 1.01/1.40 Z, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.01/1.40 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.01/1.40 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.01/1.40 [ =( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ouminus__class_Ouminus'( Y,
% 1.01/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, U,
% 1.01/1.40 X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.01/1.40 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.01/1.40 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ],
% 1.01/1.40 [ 'c_lessequals'( X, 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.01/1.40 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_NthRoot_Osqrt'( X ),
% 1.01/1.40 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ]
% 1.01/1.40 ,
% 1.01/1.40 [ 'c_lessequals'( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Oone__class_Oone'(
% 1.01/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X,
% 1.01/1.40 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ]
% 1.01/1.40 ,
% 1.01/1.40 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.01/1.40 'c_NthRoot_Osqrt'( 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 1.01/1.40 'tc_RealDef_Oreal' ) ), 'tc_RealDef_Oreal' ) ],
% 1.01/1.40 [ 'c_lessequals'( 'c_Transcendental_Osin'( X ), 'c_HOL_Oone__class_Oone'(
% 1.01/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.40 , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.01/1.40 , X ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.40 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.01/1.40 ), X ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.40 X ), X ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'(
% 1.01/1.40 Z, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.01/1.40 ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.01/1.40 , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.01/1.40 ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.40 ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.40 ), X ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.40 ), X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.40 , X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 1.01/1.40 ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.40 ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.01/1.40 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.01/1.40 ~( 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oabs__class_Oabs'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.01/1.40 'c_HOL_Ouminus__class_Ouminus'( 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.01/1.40 ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.40 ), X ) ) ],
% 1.01/1.40 [ =( 'c_Transcendental_Oarctan'( 'c_Transcendental_Otan'( X ) ), X ),
% 1.01/1.40 ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.40 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.01/1.40 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.01/1.40 ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.40 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.01/1.40 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.01/1.40 ), 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.40 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 'c_Transcendental_Ocos'( X ), 'c_Transcendental_Ocos'( X ),
% 1.01/1.40 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 'c_Transcendental_Osin'( X ), 'c_Transcendental_Osin'( X ),
% 1.01/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'(
% 1.01/1.40 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.40 [ =( 'c_Transcendental_Otan'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.01/1.40 'tc_RealDef_Oreal' ), 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ),
% 1.01/1.40 'tc_RealDef_Oreal' ) ), 'c_Transcendental_Otan'( X ) ) ],
% 1.01/1.40 [ 'c_lessequals'( 'c_Transcendental_Ocos'( X ), 'c_Transcendental_Ocos'(
% 1.01/1.40 Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.01/1.40 , ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Opi',
% 1.01/1.40 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.40 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Ocos'( X ),
% 1.01/1.40 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X
% 1.01/1.40 , 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, X, 'tc_RealDef_Oreal' ) ), ~(
% 1.01/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y,
% 1.01/1.40 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.40 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.40 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.40 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'c_HOL_Oabs__class_Oabs'(
% 1.01/1.40 X, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ]
% 1.01/1.40 ,
% 1.01/1.40 [ =( 'c_Transcendental_Otan'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( 'c_RealDef_Oreal'( Y, 'tc_nat' ),
% 1.01/1.40 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ),
% 1.01/1.40 'c_Transcendental_Otan'( X ) ) ],
% 1.01/1.40 [ =( 'c_Transcendental_Otan'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.01/1.40 'tc_RealDef_Oreal' ) ), 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( 'c_Transcendental_Otan'( X ),
% 1.01/1.40 'c_Transcendental_Otan'( Y ), 'tc_RealDef_Oreal' ),
% 1.01/1.40 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oone__class_Oone'(
% 1.01/1.40 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 'c_Transcendental_Otan'( X ), 'c_Transcendental_Otan'( Y ),
% 1.01/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), =(
% 1.01/1.40 'c_Transcendental_Ocos'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.01/1.40 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.01/1.40 ), =( 'c_Transcendental_Ocos'( Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.40 'tc_RealDef_Oreal' ) ), =( 'c_Transcendental_Ocos'( X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.40 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oone__class_Oone'(
% 1.01/1.40 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 'c_Transcendental_Otan'( X ), 'c_Transcendental_Otan'( Y ),
% 1.01/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Ocos'(
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ) ),
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( X ),
% 1.01/1.40 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.01/1.40 ), =( 'c_Transcendental_Ocos'( Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.40 'tc_RealDef_Oreal' ) ), =( 'c_Transcendental_Ocos'( X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.40 [ =( 'c_Transcendental_Otan'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.40 'c_Transcendental_Osin'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.40 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ),
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( 'c_Transcendental_Ocos'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.01/1.40 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), X,
% 1.01/1.40 'tc_RealDef_Oreal' ) ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.01/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.40 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.01/1.40 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.01/1.40 ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.40 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.01/1.40 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.01/1.40 ), 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.40 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.40 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.40 X ), T, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.01/1.40 ,
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.01/1.40 ,
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.40 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.40 , X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.40 , X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.40 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.01/1.40 Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.40 , X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.01/1.40 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.40 , X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.01/1.40 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.01/1.40 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.01/1.40 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.01/1.40 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.40 , Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.01/1.40 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.01/1.40 , T, X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.01/1.40 ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.40 , Z, X ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.01/1.40 ), ~( 'c_lessequals'( T, Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.01/1.40 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 Z, T, X ), X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ), =( T, U ), =( Z,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.40 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.40 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.01/1.40 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.01/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.01/1.40 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.40 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.01/1.40 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.40 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.01/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.40 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.01/1.40 , X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.40 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 1.01/1.40 , X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.40 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.01/1.40 , X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.40 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 1.01/1.40 , X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.40 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.01/1.40 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.01/1.40 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.40 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.01/1.40 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.01/1.40 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.40 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.40 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.01/1.40 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.01/1.40 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.01/1.40 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.01/1.40 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.01/1.40 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =(
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.40 ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.40 , Y, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.01/1.40 , T, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Z, T, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.01/1.40 , T, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.40 , Y, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ), X ) ]
% 1.01/1.40 ,
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.01/1.40 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.40 X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_HOL_Oone__class_Oone'( X ), X ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), ~( 'class_Int_Onumber'(
% 1.01/1.40 X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Oplus__class_Oplus'( Z
% 1.01/1.40 , T, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ),
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.01/1.40 , T, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( 'class_Int_Onumber'( X )
% 1.01/1.40 ), =( 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.01/1.40 Y, X ), 'c_HOL_Ominus__class_Ominus'( Z, T, X ), X ),
% 1.01/1.40 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ),
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.01/1.40 , T, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( 'class_Int_Onumber'( X )
% 1.01/1.40 ), =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 1.01/1.40 X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ),
% 1.01/1.40 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), X ),
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.40 ), X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), ~( 'class_Int_Onumber'(
% 1.01/1.40 X ) ), =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z
% 1.01/1.40 , X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ),
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), X ),
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.40 ), X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.40 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.40 ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( T
% 1.01/1.40 , X ), X ), Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.40 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.01/1.40 ), X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 Y, 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), T, X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( T, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.40 , X ), X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.01/1.40 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.40 X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.40 ), X ), Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.40 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), T, X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.01/1.40 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ),
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.40 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ), ~(
% 1.01/1.40 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.01/1.40 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), T, X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.01/1.40 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.40 ), X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.40 , X ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.40 ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.40 , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.01/1.40 , X ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.40 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.01/1.40 ), X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.01/1.40 , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.01/1.40 ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.40 ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.40 ), X ), Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.01/1.40 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 1.01/1.40 , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.40 X ), T, X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, T,
% 1.01/1.40 X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.40 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.40 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T,
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ), ~(
% 1.01/1.40 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.01/1.40 [ =( 'c_Transcendental_Otan'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.01/1.40 'tc_RealDef_Oreal' ) ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.01/1.40 'c_Transcendental_Otan'( X ), 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.01/1.40 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oabs__class_Oabs'( Y
% 1.01/1.40 , X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), 'c_HOL_Oabs__class_Oabs'(
% 1.01/1.40 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), X ) ],
% 1.01/1.40 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.40 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.01/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ), Y,
% 1.01/1.40 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.40 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.01/1.40 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.01/1.40 ), 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.01/1.40 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.01/1.40 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.01/1.40 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 1.01/1.40 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.01/1.40 ,
% 1.01/1.40 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 1.01/1.40 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 1.01/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.01/1.40 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 1.01/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.01/1.40 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.01/1.40 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), =( X, Y ), ~(
% 1.01/1.40 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.01/1.40 ,
% 1.01/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.01/1.40 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.01/1.40 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.01/1.40 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 1.01/1.40 ,
% 1.01/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.01/1.40 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.01/1.40 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 1.01/1.40 ,
% 1.01/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.01/1.40 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.01/1.40 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 1.01/1.40 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.01/1.40 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( T, U, X ) ) ],
% 1.01/1.40 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ) ) ), =( X, Y ) ]
% 1.01/1.40 ,
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.01/1.40 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.01/1.40 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.01/1.40 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.01/1.40 ) ],
% 1.01/1.40 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X,
% 1.01/1.40 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.40 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ]
% 1.01/1.40 ,
% 1.01/1.40 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.01/1.40 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.01/1.40 ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.40 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ), Z ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.01/1.40 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 1.01/1.40 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ],
% 1.01/1.40 [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal'
% 1.01/1.40 ), Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'(
% 1.01/1.40 Y, 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 1.01/1.40 ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.40 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.01/1.40 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Y,
% 1.01/1.40 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.01/1.40 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 1.01/1.40 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.01/1.40 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.01/1.40 [ 'c_lessequals'( X, 'c_HOL_Ouminus__class_Ouminus'( Y,
% 1.01/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_RealDef_Oreal' ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.01/1.40 ],
% 1.01/1.40 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' )
% 1.01/1.40 , 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.01/1.40 , ~( 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.01/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.01/1.40 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 1.01/1.40 ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.01/1.40 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 1.01/1.40 X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.01/1.40 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 1.01/1.40 ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.01/1.40 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 1.01/1.40 X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.01/1.40 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 1.01/1.40 ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.01/1.40 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 1.01/1.40 ) ],
% 1.01/1.40 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' )
% 1.01/1.40 , 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_RealDef_Oreal' ),
% 1.01/1.40 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, Z, 'tc_RealDef_Oreal' ) ) ]
% 1.01/1.40 ,
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.01/1.40 ), =( Z, Y ) ],
% 1.01/1.40 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.01/1.40 ) ],
% 1.01/1.40 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.01/1.40 ) ],
% 1.01/1.40 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.01/1.40 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 1.01/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 1.01/1.40 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.01/1.40 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.01/1.40 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 1.01/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.01/1.40 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.01/1.40 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_RealDef_Oreal' ) ), ~(
% 1.01/1.40 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.40 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 1.01/1.40 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.01/1.40 , X ) ) ), =( Y, Z ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.01/1.40 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.01/1.40 , X ) ) ), =( Y, Z ) ],
% 1.01/1.40 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.40 'tc_RealDef_Oreal' ) ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.01/1.40 ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ),
% 1.01/1.40 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 1.01/1.40 'c_HOL_Oabs__class_Oabs'( T, X ), X ), X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.01/1.40 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 Z, Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.01/1.40 , X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 1.01/1.40 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 1.01/1.40 ) ],
% 1.01/1.40 [ =( 'c_Transcendental_Otan'(
% 1.01/1.40 'c_Transcendental_Osko__Transcendental__Xtan__total__pi4__1__1'( X ) ), X
% 1.01/1.40 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( X,
% 1.01/1.40 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.01/1.40 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.01/1.40 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.01/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.01/1.40 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.01/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.40 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.01/1.40 , 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.40 'tc_RealDef_Oreal' ) ) ), =( X, Y ) ],
% 1.01/1.40 [ 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Z,
% 1.01/1.40 'tc_RealDef_Oreal' ), 'c_HOL_Ouminus__class_Ouminus'( T,
% 1.01/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.01/1.40 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.40 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.01/1.40 'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_RealDef_Oreal' ),
% 1.01/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Oabs__class_Oabs'(
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( T,
% 1.01/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.01/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.01/1.40 [ =( 'c_Transcendental_Osin'( 'c_HOL_Ominus__class_Ominus'( X,
% 1.01/1.40 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ),
% 1.01/1.40 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Osin'( X ),
% 1.01/1.40 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.40 [ 'c_lessequals'( 'c_Transcendental_Oarctan'( X ),
% 1.01/1.40 'c_Transcendental_Oarctan'( Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.01/1.40 X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.01/1.40 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.01/1.40 W, X ), X ), ~( 'c_lessequals'( T, 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 1.01/1.40 , X ), W, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( Y
% 1.01/1.40 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U, X ), W, X ), X ), ~(
% 1.01/1.40 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 T, U, X ), Y, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Z, U, X ), W, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.01/1.40 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.01/1.40 W, X ), X ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 1.01/1.40 , X ), T, X ), W, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ), U, X ), W, X ), ~(
% 1.01/1.40 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 Y, T, X ), U, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Z, T, X ), W, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.01/1.40 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z, X )
% 1.01/1.40 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.01/1.40 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 1.01/1.40 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 'c_HOL_Ominus__class_Ominus'( T, Y, X ), Z, X ), U, X ), X ),
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 1.01/1.40 ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.40 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.01/1.40 , X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.40 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.01/1.40 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_lessequals'( Z, Y, X )
% 1.01/1.40 ) ],
% 1.01/1.40 [ =( 'c_Transcendental_Otan'( 'c_Transcendental_Oarctan'( X ) ), X ) ]
% 1.01/1.40 ,
% 1.01/1.40 [ =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.01/1.40 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_RealDef_Oreal' ),
% 1.01/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Oabs__class_Oabs'(
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.01/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.40 [ =( 'c_Transcendental_Oarctan'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.01/1.40 'tc_RealDef_Oreal' ) ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.01/1.40 'c_Transcendental_Oarctan'( X ), 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.01/1.40 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'(
% 1.01/1.40 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 1.01/1.40 X ), 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X
% 1.01/1.40 ), X ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), Z, X
% 1.01/1.40 ), Y ) ],
% 1.01/1.40 [ =( X, 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.01/1.40 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.40 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.01/1.40 , 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.40 [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.01/1.40 ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.40 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~(
% 1.01/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.01/1.40 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.01/1.40 ,
% 1.01/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.01/1.40 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.01/1.40 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.01/1.40 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 1.01/1.40 ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.01/1.40 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.01/1.40 ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.01/1.40 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.01/1.40 ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.01/1.40 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 1.01/1.41 ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.01/1.41 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.01/1.41 ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.01/1.41 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.01/1.41 ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.01/1.41 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 1.01/1.41 ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.01/1.41 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 1.01/1.41 ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.01/1.41 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.01/1.41 ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.01/1.41 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41 ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.41 ), X ), Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.41 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~(
% 1.01/1.41 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 Y, 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), T, X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.01/1.41 ), X ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T,
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.41 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T,
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.41 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'( Z,
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( T
% 1.01/1.41 , X ), X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.01/1.41 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41 ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.41 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 1.01/1.41 , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.41 , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.01/1.41 , X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T,
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.01/1.41 , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.01/1.41 ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.41 ), X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.41 , X ), ~( 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.41 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Z, X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ouminus__class_Ouminus'(
% 1.01/1.41 Y, X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.01/1.41 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 1.01/1.41 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X
% 1.01/1.41 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.01/1.41 'c_HOL_Oone__class_Oone'( X ), X ), Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X
% 1.01/1.41 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Z,
% 1.01/1.41 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.01/1.41 ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 1.01/1.41 ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.01/1.41 ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 1.01/1.41 ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.01/1.41 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.01/1.41 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.01/1.41 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ), =( Z,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.01/1.41 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.01/1.41 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.01/1.41 ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'( Z,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y
% 1.01/1.41 , X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.01/1.41 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.01/1.41 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.01/1.41 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 1.01/1.41 , X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.01/1.41 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.01/1.41 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.01/1.41 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ), =( Z,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41 ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41 ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( Z,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41 ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41 ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.01/1.41 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.01/1.41 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.01/1.41 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.01/1.41 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oplus__class_Oplus'( Y
% 1.01/1.41 , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ), X ), Y ) ],
% 1.01/1.41 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ), Y, X ), Y ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.01/1.41 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.01/1.41 ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.01/1.41 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.01/1.41 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.41 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 1.01/1.41 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 1.01/1.41 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =(
% 1.01/1.41 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.01/1.41 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oabs__class_Oabs'(
% 1.01/1.41 Y, X ), X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Z, X ), U, X ) ),
% 1.01/1.41 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), T, X ) )
% 1.01/1.41 ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.01/1.41 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 1.01/1.41 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Z,
% 1.01/1.41 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.01/1.41 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.01/1.41 ), Z, 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.01/1.41 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Z, Y,
% 1.01/1.41 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 X, Z, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.01/1.41 ) ],
% 1.01/1.41 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.01/1.41 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Z,
% 1.01/1.41 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 Y, Z, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.01/1.41 ) ],
% 1.01/1.41 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.01/1.41 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.01/1.41 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, X,
% 1.01/1.41 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 1.01/1.41 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, X,
% 1.01/1.41 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 1.01/1.41 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_RealDef_Oreal' ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 1.01/1.41 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ), =( X,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 1.01/1.41 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ), =( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.01/1.41 ), 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ) ],
% 1.01/1.41 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X,
% 1.01/1.41 'tc_RealDef_Oreal' ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, X, 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ 'c_lessequals'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, X, 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( X,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.01/1.41 ],
% 1.01/1.41 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( X,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.01/1.41 ],
% 1.01/1.41 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.01/1.41 ) ],
% 1.01/1.41 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.01/1.41 ) ],
% 1.01/1.41 [ 'c_lessequals'( 'c_Transcendental_Osin'( X ), 'c_Transcendental_Osin'(
% 1.01/1.41 Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.41 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ),
% 1.01/1.41 ~( 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.41 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Otan'( X ),
% 1.01/1.41 'c_Transcendental_Otan'( Y ), 'tc_RealDef_Oreal' ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.41 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.01/1.41 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.01/1.41 ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 1.01/1.41 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.41 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.01/1.41 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.01/1.41 ), 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Otan'( X ),
% 1.01/1.41 'c_Transcendental_Otan'( Y ), 'tc_RealDef_Oreal' ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.41 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.01/1.41 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.01/1.41 ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.41 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.01/1.41 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.01/1.41 ), 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.41 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.01/1.41 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.01/1.41 ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.41 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.01/1.41 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.01/1.41 ), 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Otan'( X ),
% 1.01/1.41 'c_Transcendental_Otan'( Y ), 'tc_RealDef_Oreal' ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.41 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.01/1.41 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.01/1.41 ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.41 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.01/1.41 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.01/1.41 ), 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.41 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.01/1.41 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.01/1.41 ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.41 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.01/1.41 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.01/1.41 ), 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.41 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ), 'c_Transcendental_Oarctan'( X ), 'tc_RealDef_Oreal'
% 1.01/1.41 ) ],
% 1.01/1.41 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ), =( X,
% 1.01/1.41 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'(
% 1.01/1.41 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), =( X,
% 1.01/1.41 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.01/1.41 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'(
% 1.01/1.41 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_RealDef_Oreal'( X, 'tc_nat' ), 'tc_RealDef_Oreal' ) ],
% 1.01/1.41 [ ~( 'c_HOL_Oord__class_Oless'( 'c_RealDef_Oreal'( X, 'tc_nat' ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.01/1.41 ],
% 1.01/1.41 [ =( 'c_Transcendental_Osin'( 'c_Transcendental_Opi' ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ ~( 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Opi',
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.01/1.41 ],
% 1.01/1.41 [ =( 'c_Transcendental_Otan'( 'c_Transcendental_Opi' ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ],
% 1.01/1.41 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_RealDef_Oreal' ), 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.01/1.41 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.01/1.41 Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X )
% 1.01/1.41 , 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 1.01/1.41 [ 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ), X,
% 1.01/1.41 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' ), ~(
% 1.01/1.41 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, 'tc_RealDef_Oreal' ), Z,
% 1.01/1.41 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.01/1.41 'tc_RealDef_Oreal' ) ), 'c_HOL_Ominus__class_Ominus'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( X ),
% 1.01/1.41 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Osin'( X ),
% 1.01/1.41 'c_Transcendental_Osin'( Y ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.01/1.41 ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.01/1.41 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.01/1.41 , X ), 'c_lessequals'( Z, Y, X ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 1.01/1.41 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 1.01/1.41 , X ), 'c_lessequals'( Y, Y, X ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.01/1.41 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.01/1.41 , X ), 'c_lessequals'( Z, Y, X ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.01/1.41 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.01/1.41 [ =( 'c_Transcendental_Osin'( 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.41 'c_Transcendental_Opi', X, 'tc_RealDef_Oreal' ) ),
% 1.01/1.41 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Osin'( X ),
% 1.01/1.41 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ =( 'c_Transcendental_Osin'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.01/1.41 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ),
% 1.01/1.41 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Osin'( X ),
% 1.01/1.41 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.01/1.41 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.01/1.41 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.01/1.41 , T, X ) ) ), =( Z, T ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.01/1.41 , T, X ) ) ), =( Y, Z ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.01/1.41 , U, X ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'(
% 1.01/1.41 Y, T, X ), U, X ), X ), 'c_HOL_Otimes__class_Otimes'( T,
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ) ) ],
% 1.01/1.41 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 1.01/1.41 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 1.01/1.41 , 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 1.01/1.41 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 1.01/1.41 , X, 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 1.01/1.41 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 1.01/1.41 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.01/1.41 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 1.01/1.41 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.01/1.41 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.01/1.41 , U, X ), X ) ) ],
% 1.01/1.41 [ 'c_lessequals'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_NthRoot_Osqrt'( X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.01/1.41 ],
% 1.01/1.41 [ 'c_lessequals'( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.01/1.41 ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X
% 1.01/1.41 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( T, Y, X ), X ), Z, X ) ) ],
% 1.01/1.41 [ ~( =( 'c_Transcendental_Ocos'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_RealDef_Oreal' ) ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), ~(
% 1.01/1.41 'c_Parity_Oeven__odd__class_Oeven'(
% 1.01/1.41 'c_Transcendental_Osko__Transcendental__Xcos__zero__lemma__1__1'( X ),
% 1.01/1.41 'tc_nat' ) ) ],
% 1.01/1.41 [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 1.01/1.41 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.01/1.41 [ 'c_lessequals'( X, 'c_NthRoot_Osqrt'( 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ) ), 'tc_RealDef_Oreal' ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.01/1.41 , Z ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( T, X ) ) ],
% 1.01/1.41 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y )
% 1.01/1.41 , 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'(
% 1.01/1.41 Y ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 1.01/1.41 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 1.01/1.41 X ), 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ],
% 1.01/1.41 [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal'
% 1.01/1.41 ), Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.01/1.41 X, 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 1.01/1.41 ), Y ) ],
% 1.01/1.41 [ =( X, 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.01/1.41 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), T, X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.01/1.41 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 1.01/1.41 , Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.01/1.41 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.01/1.41 ), Y ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 1.01/1.41 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.01/1.41 ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 1.01/1.41 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.01/1.41 ) ) ],
% 1.01/1.41 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 1.01/1.41 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.01/1.41 ), Y ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.01/1.41 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.01/1.41 ), Y ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.01/1.41 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.01/1.41 X ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 1.01/1.41 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 1.01/1.41 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 1.01/1.41 , X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 1.01/1.41 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 1.01/1.41 , X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 1.01/1.41 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.01/1.41 , X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 1.01/1.41 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.01/1.41 , X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.41 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 1.01/1.41 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.41 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 1.01/1.41 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.41 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 1.01/1.41 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.41 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 1.01/1.41 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.01/1.41 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Transcendental_Oarctan'( X ),
% 1.01/1.41 'c_Transcendental_Oarctan'( Y ), 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_Transcendental_Oarctan'( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oone__class_Oone'(
% 1.01/1.41 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.01/1.41 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y,
% 1.01/1.41 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( X,
% 1.01/1.41 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), =(
% 1.01/1.41 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.01/1.41 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y ) ), =( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.01/1.41 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.01/1.41 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.41 ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.41 ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.01/1.41 ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.41 ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.01/1.41 X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.01/1.41 X ) ), ~( =( Y, 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ), =( Z,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 1.01/1.41 ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.41 ) ), =( Y, Z ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.41 ) ), =( Y, Z ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.01/1.41 X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 1.01/1.41 ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.01/1.41 ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 1.01/1.41 ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.01/1.41 X ) ), =( Y, 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41 ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.01/1.41 ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.01/1.41 ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 1.01/1.41 ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.01/1.41 ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.01/1.41 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.01/1.41 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.41 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41 ), X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.01/1.41 , Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.01/1.41 , T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.41 , Z, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.01/1.41 , T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.41 , Z, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.41 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.01/1.41 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.01/1.41 , T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.01/1.41 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.41 , Z, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.41 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X
% 1.01/1.41 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 1.01/1.41 ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.41 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.41 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 X ), T, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.41 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( T, Z, X
% 1.01/1.41 ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.01/1.41 ) ) ],
% 1.01/1.41 [ ~( =( 'c_Transcendental_Ocos'( 'c_Transcendental_Oarctan'( X ) ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ) ],
% 1.01/1.41 [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( X, Y ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( hAPP( X, Z ), hAPP( X, Y ),
% 1.01/1.41 'tc_RealDef_Oreal' ), 'c_HOL_Ominus__class_Ominus'( Z, Y,
% 1.01/1.41 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ), 'c_HOL_Ominus__class_Ominus'( hAPP( X, Z ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( hAPP( X, Z ), hAPP( X, Y ),
% 1.01/1.41 'tc_RealDef_Oreal' ), 'c_HOL_Ominus__class_Ominus'( Z, Y,
% 1.01/1.41 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ 'c_lessequals'( 'c_Transcendental_Ocos'( X ), 'c_HOL_Oone__class_Oone'(
% 1.01/1.41 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.01/1.41 [ =( 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ), X ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.01/1.41 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Otimes__class_Otimes'( X, X,
% 1.01/1.41 'tc_RealDef_Oreal' ) ), 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' )
% 1.01/1.41 ) ],
% 1.01/1.41 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Otan'( X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.01/1.41 ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.41 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Opi',
% 1.01/1.41 'tc_RealDef_Oreal' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.01/1.41 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.01/1.41 ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Osin'( X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.01/1.41 ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.41 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Opi',
% 1.01/1.41 'tc_RealDef_Oreal' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.01/1.41 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.01/1.41 ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ =( 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Osin'( X ),
% 1.01/1.41 'tc_RealDef_Oreal' ), 'c_Transcendental_Ocos'( 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.41 X, 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.41 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ) ) ) ],
% 1.01/1.41 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.41 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ), 'tc_RealDef_Oreal' ) ],
% 1.01/1.41 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_RealDef_Oreal' ), 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' )
% 1.01/1.41 , ~( 'c_HOL_Oord__class_Oless'( X, 'c_Int_Onumber__class_Onumber__of'(
% 1.01/1.41 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.01/1.41 ) ],
% 1.01/1.41 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_NthRoot_Osqrt'( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.01/1.41 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ),
% 1.01/1.41 'tc_RealDef_Oreal' ) ],
% 1.01/1.41 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 1.01/1.41 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.41 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ), 'tc_RealDef_Oreal' ) ],
% 1.01/1.41 [ 'c_lessequals'( X, 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.41 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.01/1.41 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 1.01/1.41 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ), ~(
% 1.01/1.41 'c_lessequals'( X, 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.41 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.41 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), Y,
% 1.01/1.41 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 1.01/1.41 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.41 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 1.01/1.41 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.41 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), X,
% 1.01/1.41 'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.41 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.41 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), Y,
% 1.01/1.41 'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.41 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ =( 'c_Transcendental_Otan'( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.41 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'(
% 1.01/1.41 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.01/1.41 ) ), 'c_NthRoot_Osqrt'( 'c_Int_Onumber__class_Onumber__of'(
% 1.01/1.41 'c_Int_OBit1'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ) )
% 1.01/1.41 ],
% 1.01/1.41 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit0'(
% 1.01/1.41 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_Transcendental_Osko__Transcendental__Xtan__total__pi4__1__1'( X ),
% 1.01/1.41 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X ), ~( 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y, X ), ~( 'c_lessequals'( Z,
% 1.01/1.41 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( Y ), X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.01/1.41 ), X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~( 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 1.01/1.41 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 1.01/1.41 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, T,
% 1.01/1.41 X ), Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.01/1.41 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z,
% 1.01/1.41 X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.01/1.41 Z, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.01/1.41 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.01/1.41 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 1.01/1.41 Z, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.01/1.41 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.01/1.41 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.01/1.41 X ), Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.01/1.41 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.01/1.41 Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 X ), Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.01/1.41 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.01/1.41 X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 X ), T, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.01/1.41 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.41 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.41 ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.01/1.41 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 1.01/1.41 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.01/1.41 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.01/1.41 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 1.01/1.41 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.01/1.41 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.01/1.41 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 Y, T, X ), Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.01/1.41 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.01/1.41 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 Y, T, X ), Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.01/1.41 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), Z, X ) ), =( Z,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.01/1.41 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Z,
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), T, X ) ), =( T,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.01/1.41 ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.01/1.41 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.01/1.41 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 1.01/1.41 , Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.01/1.41 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 1.01/1.41 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.41 , Z, X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.01/1.41 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.01/1.41 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 1.01/1.41 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.41 , Z, X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.01/1.41 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.01/1.41 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.01/1.41 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X
% 1.01/1.41 ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 1.01/1.41 ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.01/1.41 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ),
% 1.01/1.41 ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X
% 1.01/1.41 ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.01/1.41 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.01/1.41 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.41 , T, X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.01/1.41 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.01/1.41 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.41 , T, X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.01/1.41 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.01/1.41 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.01/1.41 Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.41 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.41 ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T,
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.41 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.01/1.41 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.01/1.41 ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.01/1.41 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.01/1.41 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 1.01/1.41 , 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41 ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.01/1.41 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.01/1.41 ~( 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.01/1.41 , 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.41 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.41 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.41 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.01/1.41 ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.41 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.01/1.41 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.01/1.41 ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 1.01/1.41 ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 1.01/1.41 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.01/1.41 ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 1.01/1.41 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.01/1.41 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 1.01/1.41 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.01/1.41 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 1.01/1.41 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.01/1.41 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 1.01/1.41 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.01/1.41 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ),
% 1.01/1.41 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) )
% 1.01/1.41 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( Y ), X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.41 'c_HOL_Oone__class_Oone'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.01/1.41 , X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oabs__class_Oabs'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41 ), X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 1.01/1.41 , 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 1.01/1.41 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X
% 1.01/1.41 ) ) ],
% 1.01/1.41 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( X,
% 1.01/1.41 'c_NthRoot_Osqrt'( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.01/1.41 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ),
% 1.01/1.41 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.01/1.41 ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.01/1.41 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ],
% 1.01/1.41 [ =( 'c_Transcendental_Otan'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.01/1.41 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ),
% 1.01/1.41 'c_Transcendental_Otan'( X ) ) ],
% 1.01/1.41 [ =( 'c_Transcendental_Osin'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.01/1.41 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ),
% 1.01/1.41 'c_Transcendental_Osin'( X ) ) ],
% 1.01/1.41 [ =( 'c_Transcendental_Osin'( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.41 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.01/1.41 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ) ), 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.41 'c_NthRoot_Osqrt'( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.01/1.41 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ),
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.41 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oarctan'( X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.41 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ) ],
% 1.01/1.41 [ =( 'c_Transcendental_Osin'( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.41 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'(
% 1.01/1.41 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.01/1.41 ) ), 'c_HOL_Oinverse__class_Odivide'( 'c_NthRoot_Osqrt'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.01/1.41 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ),
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.41 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ), =(
% 1.01/1.41 'c_Transcendental_Osin'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_RealDef_Oreal'( X, 'tc_nat' ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.41 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ ~( =( 'c_Transcendental_Ocos'( X ), 'c_HOL_Oone__class_Oone'(
% 1.01/1.41 'tc_RealDef_Oreal' ) ) ), =( 'c_Transcendental_Osin'( X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ 'c_lessequals'( 'c_Transcendental_Ocos'( X ), 'c_Transcendental_Ocos'(
% 1.01/1.41 Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, 'c_Transcendental_Opi',
% 1.01/1.41 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( Y, X, 'tc_RealDef_Oreal' ) ),
% 1.01/1.41 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y,
% 1.01/1.41 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), ~(
% 1.01/1.41 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oabs__class_Oabs'( Z,
% 1.01/1.41 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 1.01/1.41 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_Transcendental_Ocos'( X )
% 1.01/1.41 , 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ) ],
% 1.01/1.41 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.41 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ) ],
% 1.01/1.41 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_RealDef_Oreal' ), 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' )
% 1.01/1.41 , ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.41 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.01/1.41 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.01/1.41 ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.01/1.41 ) ],
% 1.01/1.41 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_RealDef_Oreal' ), 'c_Transcendental_Otan'( X ), 'tc_RealDef_Oreal' )
% 1.01/1.41 , ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.41 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.01/1.41 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.01/1.41 ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.01/1.41 ) ],
% 1.01/1.41 [ =( 'c_Transcendental_Otan'( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.41 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.01/1.41 'c_Int_OBit1'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ) ), 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.41 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.01/1.41 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ), 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ =( 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'(
% 1.01/1.41 'tc_RealDef_Oreal' ), 'c_Transcendental_Otan'( X ), 'tc_RealDef_Oreal' )
% 1.01/1.41 , 'c_Transcendental_Otan'( 'c_HOL_Ominus__class_Ominus'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.41 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), X,
% 1.01/1.41 'tc_RealDef_Oreal' ) ) ) ],
% 1.01/1.41 [ =( 'c_Transcendental_Osin'( X ), 'c_Transcendental_Ocos'(
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.41 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.01/1.41 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.01/1.41 ), X, 'tc_RealDef_Oreal' ) ) ) ],
% 1.01/1.41 [ =( 'c_Transcendental_Ocos'( X ), 'c_Transcendental_Osin'(
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.41 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.01/1.41 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.01/1.41 ), X, 'tc_RealDef_Oreal' ) ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.41 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41 ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.41 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.01/1.41 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 T, 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.01/1.41 ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.01/1.41 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.41 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.41 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.01/1.41 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 Y, 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.41 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41 ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.41 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.01/1.41 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.41 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.41 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, Z, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Z,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 1.01/1.41 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 1.01/1.41 X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.01/1.41 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 1.01/1.41 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.01/1.41 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 1.01/1.41 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.01/1.41 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.01/1.41 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.01/1.41 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, X )
% 1.01/1.41 , 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.01/1.41 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 Y, Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.01/1.41 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 Y, Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 1.01/1.41 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.01/1.41 X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 1.01/1.41 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.01/1.41 X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 1.01/1.41 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.01/1.41 X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 1.01/1.41 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.01/1.41 X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 1.01/1.41 ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.01/1.41 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.01/1.41 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.01/1.41 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.01/1.41 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.01/1.41 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.01/1.41 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.01/1.41 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.01/1.41 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.41 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 1.01/1.41 X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.01/1.41 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.41 X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.01/1.41 , Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.01/1.41 , Z, X ) ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), =( Y, Z ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.01/1.41 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.01/1.41 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.01/1.41 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.01/1.41 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 1.01/1.41 ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ), U, X ) ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 1.01/1.41 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.01/1.41 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 1.01/1.41 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.01/1.41 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 1.01/1.41 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.01/1.41 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 1.01/1.41 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.01/1.41 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 1.01/1.41 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 1.01/1.41 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 1.01/1.41 , X ) ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.01/1.41 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.41 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.01/1.41 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 1.01/1.41 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 1.01/1.41 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 1.01/1.41 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 1.01/1.41 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.41 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( U, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), U, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.01/1.41 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 1.01/1.41 ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( Z,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'( Z,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__field'( X ) ), =(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.41 , U, X ), X ), W, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( Z, U, X ), W, X ), X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.41 'c_HOL_Ominus__class_Ominus'( Y, T, X ), W, X ), U, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.01/1.41 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.01/1.41 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.01/1.41 ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =(
% 1.01/1.41 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.01/1.41 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.01/1.41 ) ],
% 1.01/1.41 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 1.01/1.41 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 1.01/1.41 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.01/1.41 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.01/1.41 ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.01/1.41 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oabs__class_Oabs'(
% 1.01/1.41 Y, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.01/1.41 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.01/1.41 ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.41 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ), X
% 1.01/1.41 ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.41 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ), Z
% 1.01/1.41 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.01/1.41 [ =( 'c_Transcendental_Otan'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.01/1.41 ) ],
% 1.01/1.41 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.01/1.41 ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ =( 'c_Transcendental_Osin'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.01/1.41 ) ],
% 1.01/1.41 [ =( 'c_Transcendental_Oarctan'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.01/1.41 ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.01/1.41 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.01/1.41 ), X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.01/1.41 Y, X ), Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.41 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.01/1.41 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.01/1.41 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 1.01/1.41 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.41 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 1.01/1.41 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.41 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.01/1.41 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.01/1.41 Z, X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.41 Y, Z, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 1.01/1.41 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 1.01/1.41 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 1.01/1.41 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 1.01/1.41 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.01/1.41 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, X,
% 1.01/1.41 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 1.01/1.41 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.01/1.41 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal'
% 1.01/1.41 ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, Z, 'tc_RealDef_Oreal' ) ),
% 1.01/1.41 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 1.01/1.41 ) ],
% 1.01/1.41 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal'
% 1.01/1.41 ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Z, 'tc_RealDef_Oreal' ) ),
% 1.01/1.41 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 1.01/1.41 ) ],
% 1.01/1.41 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), =( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), =( X,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.01/1.41 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.41 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 1.01/1.41 X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.01/1.41 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.01/1.41 'c_lessequals'( Y, 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.01/1.41 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 1.01/1.41 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.01/1.41 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 1.01/1.41 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Z, Y, X ), X ) )
% 1.01/1.41 ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.01/1.41 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y
% 1.01/1.41 , X ), Z, X ) ) ],
% 1.01/1.41 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) )
% 1.01/1.41 , 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Oone__class_Oone'(
% 1.01/1.41 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Oone__class_Oone'(
% 1.01/1.41 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( X, X,
% 1.01/1.41 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Oone__class_Oone'(
% 1.01/1.41 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ominus__class_Ominus'(
% 1.01/1.41 X, 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.01/1.41 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.01/1.41 'tc_RealDef_Oreal' ) ), 'c_HOL_Otimes__class_Otimes'( 'c_NthRoot_Osqrt'(
% 1.01/1.41 X ), 'c_NthRoot_Osqrt'( Y ), 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_RealDef_Oreal' ), 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' )
% 1.01/1.41 , ~( 'c_HOL_Oord__class_Oless'( X, 'c_Transcendental_Opi',
% 1.01/1.41 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.01/1.41 ) ],
% 1.01/1.41 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X
% 1.01/1.41 , 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.01/1.41 ) ],
% 1.01/1.41 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Oinverse__class_Odivide'( X, Y,
% 1.01/1.41 'tc_RealDef_Oreal' ) ), 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.41 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ), 'tc_RealDef_Oreal' ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Ocos'( X ),
% 1.01/1.41 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y
% 1.01/1.41 , 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.01/1.41 ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ), ~(
% 1.01/1.41 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Opi',
% 1.01/1.41 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ =( 'c_Transcendental_Osin'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.01/1.41 'tc_RealDef_Oreal' ) ), 'c_HOL_Ominus__class_Ominus'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Osin'( X ),
% 1.01/1.41 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( X ),
% 1.01/1.41 'c_Transcendental_Osin'( Y ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.01/1.41 ) ],
% 1.01/1.41 [ =( 'c_Transcendental_Osin'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 1.01/1.41 'tc_RealDef_Oreal' ) ), 'c_HOL_Ominus__class_Ominus'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( Y ),
% 1.01/1.41 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Osin'( Y ),
% 1.01/1.41 'c_Transcendental_Ocos'( X ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.01/1.41 ) ],
% 1.01/1.41 [ =( 'c_Transcendental_Osin'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.01/1.41 'tc_RealDef_Oreal' ) ), 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Osin'( X ),
% 1.01/1.41 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( X ),
% 1.01/1.41 'c_Transcendental_Osin'( Y ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.01/1.41 ) ],
% 1.01/1.41 [ =( 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ =( 'c_Transcendental_Otan'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.41 'c_Transcendental_Osin'( X ), 'c_Transcendental_Ocos'( X ),
% 1.01/1.41 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.01/1.41 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ),
% 1.01/1.41 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Ocos'( X ),
% 1.01/1.41 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.41 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), X,
% 1.01/1.41 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_Transcendental_Osin'( X )
% 1.01/1.41 , 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ) ],
% 1.01/1.41 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.01/1.41 'tc_RealDef_Oreal' ) ), 'c_Transcendental_Ocos'( X ) ) ],
% 1.01/1.41 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal'
% 1.01/1.41 ) ) ],
% 1.01/1.41 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Transcendental_Otan'( X ),
% 1.01/1.41 'c_Transcendental_Otan'( Y ), 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Osin'(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ) ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( X ),
% 1.01/1.41 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 1.01/1.41 ), =( 'c_Transcendental_Ocos'( Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_RealDef_Oreal' ) ), =( 'c_Transcendental_Ocos'( X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.41 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.01/1.41 ), X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.01/1.41 ), X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.01/1.41 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.41 ), X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.41 ), X ), Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.01/1.41 , Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( T, Z, X ),
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.41 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~(
% 1.01/1.41 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.01/1.41 , Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 1.01/1.41 , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, T, X ),
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.01/1.41 ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T,
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.41 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.41 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.41 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.01/1.41 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 Y, 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.41 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.01/1.41 ), X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.01/1.41 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.41 ), X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41 ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.01/1.41 , T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41 ), T, X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.01/1.41 , T, X ), Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.01/1.41 , T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.01/1.41 , T, X ), Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 1.01/1.41 , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41 ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ), ~(
% 1.01/1.41 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.41 , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.01/1.41 , X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T,
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ), ~(
% 1.01/1.41 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.01/1.41 , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.01/1.41 ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.41 ), X ), Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 1.01/1.41 'c_HOL_Oone__class_Oone'( X ), X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.01/1.41 , X ), X ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( Y ), X ) )
% 1.01/1.41 ],
% 1.01/1.41 [ =( 'c_Transcendental_Osin'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_Int_Onumber__class_Onumber__of'(
% 1.01/1.41 'c_Int_OBit1'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.41 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ),
% 1.01/1.41 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'(
% 1.01/1.41 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ =( 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit0'(
% 1.01/1.41 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ), 'c_HOL_Ominus__class_Ominus'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.01/1.41 'c_Int_OBit0'( 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ),
% 1.01/1.41 'tc_RealDef_Oreal' ), 'c_Transcendental_Oarctan'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'(
% 1.01/1.41 'tc_RealDef_Oreal' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'(
% 1.01/1.41 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ) ), 'tc_RealDef_Oreal' ), 'c_Transcendental_Oarctan'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'(
% 1.01/1.41 'tc_RealDef_Oreal' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'(
% 1.01/1.41 'c_Int_OBit1'( 'c_Int_OBit1'( 'c_Int_OBit1'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.41 'c_Int_OBit1'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ) ) ) ) ) ),
% 1.01/1.41 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), 'tc_RealDef_Oreal' ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_RealDef_Oreal' ), 'c_Transcendental_Ocos'( X ), 'tc_RealDef_Oreal' )
% 1.01/1.41 , ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.41 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.01/1.41 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.01/1.41 ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.41 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.01/1.41 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.01/1.41 ), 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_Transcendental_Ocos'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X
% 1.01/1.41 , 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.41 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.41 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ =( 'c_FFT__Mirabelle_Oroot'( X ), 'c_Complex_Ocis'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.41 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'c_Transcendental_Opi',
% 1.01/1.41 'tc_RealDef_Oreal' ), 'c_RealDef_Oreal'( X, 'tc_nat' ),
% 1.01/1.41 'tc_RealDef_Oreal' ) ) ) ],
% 1.01/1.41 [ 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_Transcendental_Osko__Transcendental__Xtan__total__pi4__1__1'( X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit0'(
% 1.01/1.41 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ =( 'c_Transcendental_Osin'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_RealDef_Oreal'( X, 'tc_nat' ), 'c_Transcendental_Opi',
% 1.01/1.41 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.01/1.41 ) ],
% 1.01/1.41 [ =( 'c_Transcendental_Otan'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_RealDef_Oreal'( X, 'tc_nat' ), 'c_Transcendental_Opi',
% 1.01/1.41 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.01/1.41 ) ],
% 1.01/1.41 [ =( 'c_Transcendental_Osin'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_Transcendental_Opi', 'c_RealDef_Oreal'( X, 'tc_nat' ),
% 1.01/1.41 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.01/1.41 ) ],
% 1.01/1.41 [ ~( =( 'c_Transcendental_Osin'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_RealDef_Oreal' ) ) ), =( 'c_HOL_Oabs__class_Oabs'(
% 1.01/1.41 'c_Transcendental_Ocos'( X ), 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ ~( =( 'c_Transcendental_Ocos'( X ), 'c_HOL_Oone__class_Oone'(
% 1.01/1.41 'tc_RealDef_Oreal' ) ) ), ~( =( 'c_Transcendental_Osin'( X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.41 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'c_Transcendental_Opi',
% 1.01/1.41 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.01/1.41 ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ), =(
% 1.01/1.41 'c_Transcendental_Osin'( 'c_HOL_Otimes__class_Otimes'( 'c_RealDef_Oreal'(
% 1.01/1.41 X, 'tc_nat' ), 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.41 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.01/1.41 ) ],
% 1.01/1.41 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 Y, 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.41 'c_Int_OPls' ) ), X ), X ), 'c_HOL_Oplus__class_Oplus'( Y, Y, X ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.41 'c_Int_OPls' ) ), X ), Y, X ), 'c_HOL_Oplus__class_Oplus'( Y, Y, X ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.41 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.41 'c_Int_OPls' ) ), X ) ) ],
% 1.01/1.41 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( X,
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.41 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( X, 'c_Int_Onumber__class_Onumber__of'(
% 1.01/1.41 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), X ) ],
% 1.01/1.41 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Oinverse__class_Odivide'( X
% 1.01/1.41 , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.41 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Odivide'( X,
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.41 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.01/1.41 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ],
% 1.01/1.41 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Opi',
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit0'(
% 1.01/1.41 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ) ],
% 1.01/1.41 [ 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ), =(
% 1.01/1.41 'c_Transcendental_Ocos'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_RealDef_Oreal'( X, 'tc_nat' ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.41 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ ~( =( 'c_Transcendental_Ocos'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_RealDef_Oreal' ) ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), =( X,
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_RealDef_Oreal'(
% 1.01/1.41 'c_Transcendental_Osko__Transcendental__Xcos__zero__lemma__1__1'( X ),
% 1.01/1.41 'tc_nat' ), 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.41 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.41 'c_Int_OPls' ) ), X ), X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.41 'c_Int_OPls' ) ), X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.41 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Ocos'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.41 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.01/1.41 [ 'c_lessequals'( 'c_Transcendental_Ocos'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.41 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.01/1.41 [ =( 'c_Transcendental_Osin'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.41 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.41 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'c_Transcendental_Osin'( X ),
% 1.01/1.41 'tc_RealDef_Oreal' ), 'c_Transcendental_Ocos'( X ), 'tc_RealDef_Oreal' )
% 1.01/1.41 ) ],
% 1.01/1.41 [ 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.41 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.01/1.41 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.01/1.41 ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.41 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.01/1.41 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.41 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.01/1.41 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.01/1.41 ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.41 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.41 'c_HOL_Oone__class_Oone'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.01/1.41 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), X ), X ), X ) ],
% 1.01/1.41 [ =( 'c_Transcendental_Osin'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.41 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'c_Transcendental_Opi',
% 1.01/1.41 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.01/1.41 ) ],
% 1.01/1.41 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.41 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ) ],
% 1.01/1.41 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.41 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.01/1.41 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.01/1.41 ), 'tc_RealDef_Oreal' ) ],
% 1.01/1.41 [ =( 'c_Transcendental_Osin'( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.41 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.01/1.41 'c_Int_OBit1'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ) ), 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.41 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.41 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ =( 'c_Transcendental_Otan'( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.41 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.01/1.41 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ) ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) )
% 1.01/1.41 ],
% 1.01/1.41 [ =( 'c_Transcendental_Osin'( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.41 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.01/1.41 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.01/1.41 ) ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ =( 'c_Transcendental_Oarctan'( 'c_HOL_Oone__class_Oone'(
% 1.01/1.41 'tc_RealDef_Oreal' ) ), 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.41 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.01/1.41 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.01/1.41 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ),
% 1.01/1.41 'c_Transcendental_Ocos'( X ) ) ],
% 1.01/1.41 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.41 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.01/1.41 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ) ), 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.41 'c_NthRoot_Osqrt'( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.01/1.41 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ),
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.41 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.41 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.01/1.41 'c_Int_OBit1'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ) ), 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.41 'c_NthRoot_Osqrt'( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'(
% 1.01/1.41 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ),
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.41 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Ocos'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.01/1.41 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), X,
% 1.01/1.41 'tc_RealDef_Oreal' ) ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X,
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.41 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.01/1.41 ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ =( 'c_Transcendental_Osin'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.01/1.41 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_RealDef_Oreal'( X, 'tc_nat' ), 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_RealDef_Oreal' ), 'c_Transcendental_Ocos'( X ), 'tc_RealDef_Oreal' )
% 1.01/1.41 , ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.41 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.01/1.41 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.01/1.41 ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.01/1.41 ) ],
% 1.01/1.41 [ 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ), =(
% 1.01/1.41 'c_Transcendental_Ocos'( 'c_HOL_Otimes__class_Otimes'( 'c_RealDef_Oreal'(
% 1.01/1.41 X, 'tc_nat' ), 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.41 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.01/1.41 ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 1.01/1.41 , X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.01/1.41 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'( Y, Y
% 1.01/1.41 , X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.01/1.41 , Z, X ), Z, X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), =( Z,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.01/1.41 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.01/1.41 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ =( 'c_Int_OBit0'( 'c_Int_OPls' ), 'c_Int_OPls' ) ],
% 1.01/1.41 [ ~( =( 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.01/1.41 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), X,
% 1.01/1.41 'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Odivide'( Y, Z,
% 1.01/1.41 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.01/1.41 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), Z,
% 1.01/1.41 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.01/1.41 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( Y
% 1.01/1.41 , X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), ~( =( 'c_HOL_Oinverse__class_Odivide'( Y, Z,
% 1.01/1.41 X ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), =( Y,
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( T, X )
% 1.01/1.41 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.01/1.41 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41 ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), =( U,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.41 ), =( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.41 , U, X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( U,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 1.01/1.41 , U, X ), 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.41 , X ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y ), =(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41 ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), =( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.41 , X ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), =(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41 ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), =( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.01/1.41 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), Z, X ) ), =( Z,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ) ) ), =( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), =( X, Z ) ],
% 1.01/1.41 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ) ) ), =( X,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), =( Y, Z ) ],
% 1.01/1.41 [ ~( =( 'c_Int_OPls', 'c_Int_OBit1'( X ) ) ) ],
% 1.01/1.41 [ =( 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( X, Y
% 1.01/1.41 , 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, X,
% 1.01/1.41 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, X, 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.01/1.41 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ),
% 1.01/1.41 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 1.01/1.41 [ ~( =( 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.41 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ) ],
% 1.01/1.41 [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OPls' ) ) ],
% 1.01/1.41 [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OPls' ) ), =( X, 'c_Int_OPls' ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OBit0'( Y ) ) ), =( X, Y ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ), X
% 1.01/1.41 ), Y ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ), X
% 1.01/1.41 ), Y ) ],
% 1.01/1.41 [ ~( =( 'c_Transcendental_Opi', 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_RealDef_Oreal' ) ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =(
% 1.01/1.41 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 1.01/1.41 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.01/1.41 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ), X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 1.01/1.41 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ) ],
% 1.01/1.41 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_RealDef_Oreal' ) ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) )
% 1.01/1.41 ],
% 1.01/1.41 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.01/1.41 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( X, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.41 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ),
% 1.01/1.41 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ ~( =( 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.41 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.41 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.01/1.41 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), Z, X ),
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y
% 1.01/1.41 ) ],
% 1.01/1.41 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.41 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'(
% 1.01/1.41 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.01/1.41 ) ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'(
% 1.01/1.41 'tc_RealDef_Oreal' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.01/1.41 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.01/1.41 ) ) ],
% 1.01/1.41 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ),
% 1.01/1.41 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.01/1.41 [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OBit0'( Y ) ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.01/1.41 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), Z, X ) ) ],
% 1.01/1.41 [ =( 'c_Int_OPls', 'c_Int_OBit0'( 'c_Int_OPls' ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.01/1.41 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.01/1.41 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.01/1.41 X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.01/1.41 , T, X ), Z ), =( T, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.01/1.41 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.01/1.41 X ), T, X ) ) ],
% 1.01/1.41 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.01/1.41 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.01/1.41 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.01/1.41 , X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.01/1.41 T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.01/1.41 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.01/1.41 X ), T, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.01/1.41 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 1.01/1.41 T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.01/1.41 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.01/1.41 X ), Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.01/1.41 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 1.01/1.41 T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oone__class_Oone'( X )
% 1.01/1.41 , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X )
% 1.01/1.41 ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.01/1.41 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, Z ) ],
% 1.01/1.41 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.41 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'c_Transcendental_Opi',
% 1.01/1.41 'tc_RealDef_Oreal' ) ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) )
% 1.01/1.41 ],
% 1.01/1.41 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_Int_Onumber__class_Onumber__of'(
% 1.01/1.41 'c_Int_OBit1'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.41 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ],
% 1.01/1.41 [ =( 'c_HOL_Oabs__class_Oabs'( 'c_RealDef_Oreal'( X, 'tc_nat' ),
% 1.01/1.41 'tc_RealDef_Oreal' ), 'c_RealDef_Oreal'( X, 'tc_nat' ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), =( Y, 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.01/1.41 ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), =(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41 ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.01/1.41 ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y ), =(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41 ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.01/1.41 , X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.01/1.41 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, T, X )
% 1.01/1.41 , 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.01/1.41 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.01/1.41 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 1.01/1.41 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 1.01/1.41 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_RealDef_Oreal'( X, 'tc_nat' ), 'tc_RealDef_Oreal' ),
% 1.01/1.41 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ), 'c_HOL_Oone__class_Oone'(
% 1.01/1.41 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ), Z ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.01/1.41 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.01/1.41 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), ~( =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.01/1.41 Z, X ) ) ), =( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.01/1.41 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.01/1.41 , 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 1.01/1.41 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.41 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.01/1.41 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 1.01/1.41 ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), =( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.01/1.41 ), X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.41 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.41 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.41 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( =( 'c_RealDef_Oreal'( X, 'tc_nat' ), 'c_RealDef_Oreal'( Y, 'tc_nat'
% 1.01/1.41 ) ) ), =( X, Y ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.41 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.01/1.41 X ), 'c_HOL_Oinverse__class_Odivide'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.41 , 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_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_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_Int_Onumber__ring'( X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ), Y
% 1.01/1.42 , X ), Y ) ],
% 1.01/1.42 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.42 Y, 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X )
% 1.01/1.42 , X ), Y ) ],
% 1.01/1.42 [ ~( =( 'c_Int_OPls', 'c_Int_OBit0'( X ) ) ), =( 'c_Int_OPls', X ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ ~( =( 'c_Transcendental_Ocos'( 'c_Int_Onumber__class_Onumber__of'(
% 1.01/1.42 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ),
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ) ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 1.01/1.42 ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.01/1.42 ],
% 1.01/1.42 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( 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_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.01/1.42 ],
% 1.01/1.42 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'(
% 1.01/1.42 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), 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_Oone__class_Oone'( X ), X ), Y )
% 1.01/1.42 ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.01/1.42 ],
% 1.01/1.42 [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OBit1'( Y ) ) ), =( X, Y ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.01/1.42 , Y, X ) ) ],
% 1.01/1.42 [ =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.42 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.01/1.42 , Y, 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_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.01/1.42 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 1.01/1.42 , Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.01/1.42 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( 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'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.01/1.42 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.42 [ ~( 'class_Int_Oring__char__0'( X ) ), ~( 'class_Int_Onumber__ring'( X
% 1.01/1.42 ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =( Y, Z ) ],
% 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_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_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_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_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 , '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 [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OBit1'( Y ) ) ) ],
% 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 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'(
% 1.01/1.42 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.01/1.42 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Oinverse__class_Odivide'(
% 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_RealDef_Oreal' ),
% 1.01/1.42 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ), 'c_RealDef_Oreal'( 'v_n',
% 1.01/1.42 'tc_nat' ), 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.42 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.42 [ =( 'c_HOL_Oabs__class_Oabs'( 'c_Transcendental_Ocos'(
% 1.01/1.42 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.42 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.01/1.42 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'c_Transcendental_Opi',
% 1.01/1.42 'tc_RealDef_Oreal' ), 'c_RealDef_Oreal'( 'v_n', 'tc_nat' ),
% 1.01/1.42 'tc_RealDef_Oreal' ) ), 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'(
% 1.01/1.42 'tc_RealDef_Oreal' ) ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 1.01/1.42 ],
% 1.01/1.42 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 1.01/1.42 ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 1.01/1.42 ],
% 1.01/1.42 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_nat' ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_nat' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_nat' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Omult__mono'( 'tc_nat' ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 1.01/1.42 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 1.01/1.42 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 1.01/1.42 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 1.01/1.42 [ 'class_Int_Onumber'( 'tc_nat' ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 1.01/1.42 'tc_Int_Oint' ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 1.01/1.42 'tc_Int_Oint' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 1.01/1.42 'tc_Int_Oint' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_Int_Oint' )
% 1.01/1.42 ],
% 1.01/1.42 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_Int_Oint' ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_Int_Oint' ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ 'class_OrderedGroup_Opordered__ab__group__add__abs'( 'tc_Int_Oint' ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ 'class_OrderedGroup_Olordered__ab__group__add__abs'( 'tc_Int_Oint' ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_Int_Oint' ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_Int_Oint' ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_Int_Oint' ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_Int_Oint' ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Int_Oint' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_Int_Oint' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Opordered__ring__abs'( 'tc_Int_Oint' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_Int_Oint' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Int_Oint' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_Int_Oint' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Int_Oint' ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Int_Oint' ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Int_Oint' ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Int_Oint' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_Int_Oint' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Olordered__ring'( 'tc_Int_Oint' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Int_Oint' ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Int_Oint' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Int_Oint' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_Int_Oint' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_Int_Oint' ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Int_Oint' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Int_Oint' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Omult__mono'( 'tc_Int_Oint' ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Int_Oint' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Osemiring'( 'tc_Int_Oint' ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Int_Oint' ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Int_Oint' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Oabs__if'( 'tc_Int_Oint' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Oring'( 'tc_Int_Oint' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Oidom'( 'tc_Int_Oint' ) ],
% 1.01/1.42 [ 'class_Orderings_Opreorder'( 'tc_Int_Oint' ) ],
% 1.01/1.42 [ 'class_Orderings_Olinorder'( 'tc_Int_Oint' ) ],
% 1.01/1.42 [ 'class_Orderings_Oorder'( 'tc_Int_Oint' ) ],
% 1.01/1.42 [ 'class_Int_Oring__char__0'( 'tc_Int_Oint' ) ],
% 1.01/1.42 [ 'class_Int_Onumber__ring'( 'tc_Int_Oint' ) ],
% 1.01/1.42 [ 'class_Int_Onumber'( 'tc_Int_Oint' ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 1.01/1.42 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 1.01/1.42 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 1.01/1.42 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 1.01/1.42 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 1.01/1.42 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_RealDef_Oreal'
% 1.01/1.42 ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 1.01/1.42 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Olordered__ab__group__add__abs'(
% 1.01/1.42 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_RealDef_Oreal'
% 1.01/1.42 ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_RealDef_Oreal'
% 1.01/1.42 ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_RealDef_Oreal' )
% 1.01/1.42 ],
% 1.01/1.42 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_RealDef_Oreal' )
% 1.01/1.42 ],
% 1.01/1.42 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_RealDef_Oreal' ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_RealDef_Oreal' ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ 'class_Ring__and__Field_Opordered__ring__abs'( 'tc_RealDef_Oreal' ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_RealDef_Oreal' ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_RealDef_Oreal' ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_RealDef_Oreal' ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_RealDef_Oreal' ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_RealDef_Oreal' ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Oordered__field'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Olordered__ring'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_RealVector_Oreal__normed__field'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Oab__group__add'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Omult__zero'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Omult__mono'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Osemiring'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Omonoid__add'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Ogroup__add'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Oabs__if'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_RealVector_Oreal__field'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Ofield'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Oring'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Oidom'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_Orderings_Opreorder'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_Orderings_Olinorder'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_Orderings_Oorder'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_Int_Oring__char__0'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_Int_Onumber__ring'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_Int_Onumber'( 'tc_RealDef_Oreal' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 1.01/1.42 'tc_Complex_Ocomplex' ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 1.01/1.42 'tc_Complex_Ocomplex' ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Complex_Ocomplex' )
% 1.01/1.42 ],
% 1.01/1.42 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Complex_Ocomplex' )
% 1.01/1.42 ],
% 1.01/1.42 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_Complex_Ocomplex' )
% 1.01/1.42 ],
% 1.01/1.42 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Complex_Ocomplex' ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_Complex_Ocomplex' ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Complex_Ocomplex' ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Complex_Ocomplex' ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Complex_Ocomplex' ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Complex_Ocomplex' ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ 'class_RealVector_Oreal__normed__field'( 'tc_Complex_Ocomplex' ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Complex_Ocomplex' ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Complex_Ocomplex' ) ]
% 1.01/1.42 ,
% 1.01/1.42 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Complex_Ocomplex' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Complex_Ocomplex' ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Complex_Ocomplex' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Osemiring'( 'tc_Complex_Ocomplex' ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Complex_Ocomplex' ) ],
% 1.01/1.42 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Complex_Ocomplex' ) ],
% 1.01/1.42 [ 'class_RealVector_Oreal__field'( 'tc_Complex_Ocomplex' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Oring'( 'tc_Complex_Ocomplex' ) ],
% 1.01/1.42 [ 'class_Ring__and__Field_Oidom'( 'tc_Complex_Ocomplex' ) ],
% 1.01/1.42 [ 'class_Int_Oring__char__0'( 'tc_Complex_Ocomplex' ) ],
% 1.01/1.42 [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ],
% 1.01/1.42 [ 'class_Int_Onumber'( 'tc_Complex_Ocomplex' ) ]
% 1.01/1.42 ] .
% 1.01/1.42
% 1.01/1.42
% 1.01/1.42 percentage equality = 0.195170, percentage horn = 0.872539
% 1.01/1.42 This is a problem with some equality
% 1.01/1.42
% 1.01/1.42
% 1.01/1.42
% 1.01/1.42 Options Used:
% 1.01/1.42
% 1.01/1.42 useres = 1
% 1.01/1.42 useparamod = 1
% 1.01/1.42 useeqrefl = 1
% 1.01/1.42 useeqfact = 1
% 1.01/1.42 usefactor = 1
% 1.01/1.42 usesimpsplitting = 0
% 1.01/1.42 usesimpdemod = 5
% 1.01/1.42 usesimpres = 3
% 1.01/1.42
% 1.01/1.42 resimpinuse = 1000
% 1.01/1.42 resimpclauses = 20000
% 1.01/1.42 substype = eqrewr
% 1.01/1.42 backwardsubs = 1
% 1.01/1.42 selectoldest = 5
% 1.01/1.42
% 1.01/1.42 litorderings [0] = split
% 1.01/1.42 litorderings [1] = extend the termordering, first sorting on arguments
% 1.04/1.47
% 1.04/1.47 termordering = kbo
% 1.04/1.47
% 1.04/1.47 litapriori = 0
% 1.04/1.47 termapriori = 1
% 1.04/1.47 litaposteriori = 0
% 1.04/1.47 termaposteriori = 0
% 1.04/1.47 demodaposteriori = 0
% 1.04/1.47 ordereqreflfact = 0
% 1.04/1.47
% 1.04/1.47 litselect = negord
% 1.04/1.47
% 1.04/1.47 maxweight = 15
% 1.04/1.47 maxdepth = 30000
% 1.04/1.47 maxlength = 115
% 1.04/1.47 maxnrvars = 195
% 1.04/1.47 excuselevel = 1
% 1.04/1.47 increasemaxweight = 1
% 1.04/1.47
% 1.04/1.47 maxselected = 10000000
% 1.04/1.47 maxnrclauses = 10000000
% 1.04/1.47
% 1.04/1.47 showgenerated = 0
% 1.04/1.47 showkept = 0
% 1.04/1.47 showselected = 0
% 1.04/1.47 showdeleted = 0
% 1.04/1.47 showresimp = 1
% 1.04/1.47 showstatus = 2000
% 1.04/1.47
% 1.04/1.47 prologoutput = 1
% 1.04/1.47 nrgoals = 5000000
% 1.04/1.47 totalproof = 1
% 1.04/1.47
% 1.04/1.47 Symbols occurring in the translation:
% 1.04/1.47
% 1.04/1.47 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.04/1.47 . [1, 2] (w:1, o:128, a:1, s:1, b:0),
% 1.04/1.47 ! [4, 1] (w:0, o:54, a:1, s:1, b:0),
% 1.04/1.47 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.04/1.47 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.04/1.47 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [40, 1]
% 1.04/1.47 (w:1, o:60, a:1, s:1, b:0),
% 1.04/1.47 'c_HOL_Oplus__class_Oplus' [43, 3] (w:1, o:160, a:1, s:1, b:0),
% 1.04/1.47 'c_HOL_Oord__class_Oless' [45, 3] (w:1, o:159, a:1, s:1, b:0),
% 1.04/1.47 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [46, 1]
% 1.04/1.47 (w:1, o:61, a:1, s:1, b:0),
% 1.04/1.47 'class_Orderings_Opreorder' [47, 1] (w:1, o:63, a:1, s:1, b:0),
% 1.04/1.47 'c_lessequals' [49, 3] (w:1, o:161, a:1, s:1, b:0),
% 1.04/1.47 'class_Orderings_Oorder' [50, 1] (w:1, o:62, a:1, s:1, b:0),
% 1.04/1.47 'tc_RealDef_Oreal' [53, 0] (w:1, o:23, a:1, s:1, b:0),
% 1.04/1.47 'class_OrderedGroup_Opordered__ab__group__add' [58, 1] (w:1, o:64, a:
% 1.04/1.47 1, s:1, b:0),
% 1.04/1.47 'class_OrderedGroup_Opordered__comm__monoid__add' [60, 1] (w:1, o:65
% 1.04/1.47 , a:1, s:1, b:0),
% 1.04/1.47 'c_HOL_Ozero__class_Ozero' [61, 1] (w:1, o:66, a:1, s:1, b:0),
% 1.04/1.47 'class_Ring__and__Field_Oordered__idom' [62, 1] (w:1, o:68, a:1, s:1
% 1.04/1.47 , b:0),
% 1.04/1.47 'c_HOL_Ominus__class_Ominus' [64, 3] (w:1, o:162, a:1, s:1, b:0),
% 1.04/1.47 'c_HOL_Oabs__class_Oabs' [65, 2] (w:1, o:153, a:1, s:1, b:0),
% 1.04/1.47 'c_HOL_Ouminus__class_Ouminus' [66, 2] (w:1, o:154, a:1, s:1, b:0),
% 1.04/1.47 'class_OrderedGroup_Ogroup__add' [67, 1] (w:1, o:69, a:1, s:1, b:0),
% 1.04/1.47
% 1.04/1.47 'class_OrderedGroup_Oab__group__add' [68, 1] (w:1, o:70, a:1, s:1, b:
% 1.04/1.47 0),
% 1.04/1.47 'class_Orderings_Olinorder' [69, 1] (w:1, o:71, a:1, s:1, b:0),
% 1.04/1.47 'class_Ring__and__Field_Oordered__field' [70, 1] (w:1, o:72, a:1, s:1
% 1.04/1.47 , b:0),
% 1.04/1.47 'c_HOL_Oinverse__class_Odivide' [71, 3] (w:1, o:163, a:1, s:1, b:0),
% 1.04/1.47
% 1.04/1.47 'c_HOL_Otimes__class_Otimes' [72, 3] (w:1, o:164, a:1, s:1, b:0),
% 1.04/1.47 'class_Ring__and__Field_Odivision__by__zero' [73, 1] (w:1, o:75, a:1
% 1.04/1.47 , s:1, b:0),
% 1.04/1.47 'class_Int_Onumber' [74, 1] (w:1, o:76, a:1, s:1, b:0),
% 1.04/1.47 'c_Int_Onumber__class_Onumber__of' [75, 2] (w:1, o:155, a:1, s:1, b:0
% 1.04/1.47 ),
% 1.04/1.47 'c_Transcendental_Ocos' [76, 1] (w:1, o:77, a:1, s:1, b:0),
% 1.04/1.47 'c_Transcendental_Osin' [77, 1] (w:1, o:78, a:1, s:1, b:0),
% 1.04/1.47 'class_OrderedGroup_Olordered__ab__group__add' [78, 1] (w:1, o:79, a:
% 1.04/1.47 1, s:1, b:0),
% 1.04/1.47 'class_OrderedGroup_Opordered__ab__group__add__abs' [79, 1] (w:1, o:
% 1.04/1.47 80, a:1, s:1, b:0),
% 1.04/1.47 'c_Transcendental_Opi' [81, 0] (w:1, o:33, a:1, s:1, b:0),
% 1.04/1.47 'c_Transcendental_Otan' [82, 1] (w:1, o:83, a:1, s:1, b:0),
% 1.04/1.47 'c_HOL_Oone__class_Oone' [83, 1] (w:1, o:84, a:1, s:1, b:0),
% 1.04/1.47 'c_NthRoot_Osqrt' [84, 1] (w:1, o:85, a:1, s:1, b:0),
% 1.04/1.47 'class_Ring__and__Field_Opordered__ring' [85, 1] (w:1, o:91, a:1, s:1
% 1.04/1.47 , b:0),
% 1.04/1.47 'class_OrderedGroup_Ocomm__monoid__add' [87, 1] (w:1, o:92, a:1, s:1
% 1.04/1.47 , b:0),
% 1.04/1.47 'class_Ring__and__Field_Ocomm__semiring__1' [88, 1] (w:1, o:73, a:1
% 1.04/1.47 , s:1, b:0),
% 1.04/1.47 'class_Ring__and__Field_Oring' [89, 1] (w:1, o:93, a:1, s:1, b:0),
% 1.04/1.47 'class_OrderedGroup_Oordered__ab__group__add' [90, 1] (w:1, o:59, a:1
% 1.04/1.47 , s:1, b:0),
% 1.04/1.47 'c_Transcendental_Oarctan' [91, 1] (w:1, o:94, a:1, s:1, b:0),
% 1.04/1.47 'class_OrderedGroup_Opordered__ab__semigroup__add' [92, 1] (w:1, o:95
% 1.04/1.47 , a:1, s:1, b:0),
% 1.04/1.47 'class_OrderedGroup_Ocancel__semigroup__add' [94, 1] (w:1, o:96, a:1
% 1.04/1.47 , s:1, b:0),
% 1.04/1.47 'class_OrderedGroup_Ocancel__ab__semigroup__add' [95, 1] (w:1, o:97
% 2.78/3.19 , a:1, s:1, b:0),
% 2.78/3.19 'class_Ring__and__Field_Oidom' [96, 1] (w:1, o:98, a:1, s:1, b:0),
% 2.78/3.19 'class_Int_Onumber__ring' [97, 1] (w:1, o:99, a:1, s:1, b:0),
% 2.78/3.19 'c_Int_OPls' [101, 0] (w:1, o:40, a:1, s:1, b:0),
% 2.78/3.19 'c_Int_OBit1' [102, 1] (w:1, o:101, a:1, s:1, b:0),
% 2.78/3.19 'c_Int_OBit0' [103, 1] (w:1, o:100, a:1, s:1, b:0),
% 2.78/3.19 'tc_nat' [105, 0] (w:1, o:45, a:1, s:1, b:0),
% 2.78/3.19 'c_RealDef_Oreal' [106, 2] (w:1, o:156, a:1, s:1, b:0),
% 2.78/3.19 'class_Ring__and__Field_Oordered__ring__strict' [107, 1] (w:1, o:86
% 2.78/3.19 , a:1, s:1, b:0),
% 2.78/3.19 'class_Ring__and__Field_Oordered__semiring__strict' [108, 1] (w:1, o:
% 2.78/3.19 87, a:1, s:1, b:0),
% 2.78/3.19 'class_Ring__and__Field_Oordered__comm__semiring__strict' [109, 1]
% 2.78/3.19 (w:1, o:88, a:1, s:1, b:0),
% 2.78/3.19 'class_Ring__and__Field_Omult__mono1' [110, 1] (w:1, o:103, a:1, s:1
% 2.78/3.19 , b:0),
% 2.78/3.19 'class_Ring__and__Field_Omult__mono' [111, 1] (w:1, o:104, a:1, s:1
% 2.78/3.19 , b:0),
% 2.78/3.19 'class_Ring__and__Field_Opordered__cancel__semiring' [112, 1] (w:1
% 2.78/3.19 , o:105, a:1, s:1, b:0),
% 2.78/3.19 'class_Ring__and__Field_Opordered__semiring' [113, 1] (w:1, o:107, a:
% 2.78/3.19 1, s:1, b:0),
% 2.78/3.19 'class_Ring__and__Field_Oordered__semidom' [114, 1] (w:1, o:89, a:1
% 2.78/3.19 , s:1, b:0),
% 2.78/3.19 'class_Ring__and__Field_Osemiring' [115, 1] (w:1, o:109, a:1, s:1, b:
% 2.78/3.19 0),
% 2.78/3.19 'class_Lattices_Oboolean__algebra' [118, 1] (w:1, o:110, a:1, s:1, b:
% 2.78/3.19 0),
% 2.78/3.19 'class_OrderedGroup_Olordered__ab__group__add__abs' [119, 1] (w:1, o:
% 2.78/3.19 111, a:1, s:1, b:0),
% 2.78/3.19 'c_Transcendental_Osko__Transcendental__Xtan__total__pi4__1__1' [120, 1
% 2.78/3.19 ] (w:1, o:81, a:1, s:1, b:0),
% 2.78/3.19 'class_OrderedGroup_Oab__semigroup__add' [123, 1] (w:1, o:112, a:1
% 2.78/3.19 , s:1, b:0),
% 2.78/3.19 'class_Ring__and__Field_Ofield' [124, 1] (w:1, o:113, a:1, s:1, b:0)
% 2.78/3.19 ,
% 2.78/3.19 'class_Ring__and__Field_Oabs__if' [125, 1] (w:1, o:114, a:1, s:1, b:0
% 2.78/3.19 ),
% 2.78/3.19 'class_Ring__and__Field_Olordered__ring' [126, 1] (w:1, o:102, a:1
% 2.78/3.19 , s:1, b:0),
% 2.78/3.19 'class_RealVector_Oreal__normed__algebra' [128, 1] (w:1, o:115, a:1
% 2.78/3.19 , s:1, b:0),
% 2.78/3.19 'c_Transcendental_Osko__Transcendental__Xcos__zero__lemma__1__1' [129, 1
% 2.78/3.19 ] (w:1, o:82, a:1, s:1, b:0),
% 2.78/3.19 'c_Parity_Oeven__odd__class_Oeven' [130, 2] (w:1, o:157, a:1, s:1, b:
% 2.78/3.19 0),
% 2.78/3.19 'class_OrderedGroup_Omonoid__add' [131, 1] (w:1, o:116, a:1, s:1, b:0
% 2.78/3.19 ),
% 2.78/3.19 'class_Ring__and__Field_Oordered__semiring' [132, 1] (w:1, o:90, a:1
% 2.78/3.19 , s:1, b:0),
% 2.78/3.19 hAPP [134, 2] (w:1, o:158, a:1, s:1, b:0),
% 2.78/3.19 'class_Ring__and__Field_Opordered__ring__abs' [135, 1] (w:1, o:106
% 2.78/3.19 , a:1, s:1, b:0),
% 2.78/3.19 'class_Ring__and__Field_Ocomm__semiring' [136, 1] (w:1, o:74, a:1, s:
% 2.78/3.19 1, b:0),
% 2.78/3.19 'class_RealVector_Oreal__field' [140, 1] (w:1, o:117, a:1, s:1, b:0)
% 2.78/3.19 ,
% 2.78/3.19 'class_RealVector_Oreal__normed__field' [142, 1] (w:1, o:118, a:1, s:
% 2.78/3.19 1, b:0),
% 2.78/3.19 'c_FFT__Mirabelle_Oroot' [145, 1] (w:1, o:119, a:1, s:1, b:0),
% 2.78/3.19 'c_Complex_Ocis' [146, 1] (w:1, o:120, a:1, s:1, b:0),
% 2.78/3.19 'class_Ring__and__Field_Omult__zero' [148, 1] (w:1, o:121, a:1, s:1
% 2.78/3.19 , b:0),
% 2.78/3.19 'class_Ring__and__Field_Oring__no__zero__divisors' [149, 1] (w:1, o:
% 2.78/3.19 108, a:1, s:1, b:0),
% 2.78/3.19 'class_Ring__and__Field_Ozero__neq__one' [150, 1] (w:1, o:122, a:1
% 2.78/3.19 , s:1, b:0),
% 2.78/3.19 'class_OrderedGroup_Oab__semigroup__mult' [156, 1] (w:1, o:123, a:1
% 2.78/3.19 , s:1, b:0),
% 2.78/3.19 'class_OrderedGroup_Oab__semigroup__idem__mult' [157, 1] (w:1, o:124
% 2.78/3.19 , a:1, s:1, b:0),
% 2.78/3.19 'class_Ring__and__Field_Ono__zero__divisors' [158, 1] (w:1, o:67, a:1
% 2.78/3.19 , s:1, b:0),
% 2.78/3.19 'class_OrderedGroup_Omonoid__mult' [159, 1] (w:1, o:125, a:1, s:1, b:
% 2.78/3.19 0),
% 2.78/3.19 'class_OrderedGroup_Ocomm__monoid__mult' [160, 1] (w:1, o:126, a:1
% 2.78/3.19 , s:1, b:0),
% 2.78/3.19 'class_Int_Oring__char__0' [161, 1] (w:1, o:127, a:1, s:1, b:0),
% 2.78/3.19 'v_n' [162, 0] (w:1, o:51, a:1, s:1, b:0),
% 2.78/3.19 'tc_Int_Oint' [163, 0] (w:1, o:52, a:1, s:1, b:0),
% 2.78/3.19 'tc_Complex_Ocomplex' [164, 0] (w:1, o:53, a:1, s:1, b:0).
% 2.78/3.19
% 2.78/3.19
% 2.78/3.19 Starting Search:
% 2.78/3.19
% 2.78/3.19 Resimplifying inuse:
% 2.78/3.19 Done
% 2.78/3.19
% 2.78/3.19
% 2.78/3.19 Intermediate Status:
% 2.78/3.19 Generated: 3601
% 2.78/3.19 Kept: 2004
% 2.78/3.19 Inuse: 211
% 2.78/3.19 Deleted: 4
% 2.78/3.19 Deletedinuse: 0
% 2.78/3.19
% 2.78/3.19 Resimplifying inuse:
% 2.78/3.19 Done
% 2.78/3.19
% 2.78/3.19 Resimplifying inuse:
% 2.78/3.19 Done
% 2.78/3.19
% 2.78/3.19
% 2.78/3.19 Intermediate Status:
% 2.78/3.19 Generated: 8050
% 2.78/3.19 Kept: 4262
% 2.78/3.19 Inuse: 386
% 2.78/3.19 Deleted: 10
% 2.78/3.19 Deletedinuse: 0
% 2.78/3.19
% 2.78/3.19 Resimplifying inuse:
% 2.78/3.19 Done
% 2.78/3.19
% 2.78/3.19 Resimplifying inuse:
% 2.78/3.19 Done
% 2.78/3.19
% 2.78/3.19
% 2.78/3.19 Intermediate Status:
% 2.78/3.19 Generated: 12774
% 2.78/3.19 Kept: 6381
% 2.78/3.19 Inuse: 441
% 2.78/3.19 Deleted: 10
% 2.78/3.19 Deletedinuse: 0
% 2.78/3.19
% 2.78/3.19 Resimplifying inuse:
% 2.78/3.19 Done
% 2.78/3.19
% 2.78/3.19 Resimplifying inuse:
% 2.78/3.19 Done
% 2.78/3.19
% 2.78/3.19
% 2.78/3.19 Intermediate Status:
% 2.78/3.19 Generated: 19522
% 2.78/3.19 Kept: 8843
% 2.78/3.19 Inuse: 550
% 2.78/3.19 Deleted: 11
% 2.78/3.19 Deletedinuse: 0
% 2.78/3.19
% 2.78/3.19 Resimplifying inuse:
% 2.78/3.19 Done
% 2.78/3.19
% 2.78/3.19 Resimplifying inuse:
% 2.78/3.19 Done
% 2.78/3.19
% 2.78/3.19
% 2.78/3.19 Intermediate Status:
% 2.78/3.19 Generated: 33241
% 2.78/3.19 Kept: 11063
% 2.78/3.19 Inuse: 595
% 2.78/3.19 Deleted: 11
% 2.78/3.19 Deletedinuse: 0
% 2.78/3.19
% 2.78/3.19 Resimplifying inuse:
% 2.78/3.19 Done
% 2.78/3.19
% 2.78/3.19 Resimplifying inuse:
% 2.78/3.19 Done
% 2.78/3.19
% 2.78/3.19
% 2.78/3.19 Intermediate Status:
% 2.78/3.19 Generated: 45227
% 2.78/3.19 Kept: 13070
% 2.78/3.19 Inuse: 691
% 2.78/3.19 Deleted: 17
% 2.78/3.19 Deletedinuse: 0
% 2.78/3.19
% 2.78/3.19 Resimplifying inuse:
% 2.78/3.19 Done
% 2.78/3.19
% 2.78/3.19
% 2.78/3.19 Intermediate Status:
% 2.78/3.19 Generated: 56896
% 2.78/3.19 Kept: 16236
% 2.78/3.19 Inuse: 725
% 2.78/3.19 Deleted: 20
% 2.78/3.19 Deletedinuse: 0
% 2.78/3.19
% 2.78/3.19 Resimplifying inuse:
% 2.78/3.19 Done
% 2.78/3.19
% 2.78/3.19 Resimplifying inuse:
% 2.78/3.19 Done
% 2.78/3.19
% 2.78/3.19
% 2.78/3.19 Intermediate Status:
% 2.78/3.19 Generated: 66225
% 2.78/3.19 Kept: 18238
% 2.78/3.19 Inuse: 776
% 2.78/3.19 Deleted: 20
% 2.78/3.19 Deletedinuse: 0
% 2.78/3.19
% 2.78/3.19 Resimplifying inuse:
% 2.78/3.19 Done
% 2.78/3.19
% 2.78/3.19 Resimplifying inuse:
% 2.78/3.19 Done
% 2.78/3.19
% 2.78/3.19 Resimplifying clauses:
% 2.78/3.19 Done
% 2.78/3.19
% 2.78/3.19
% 2.78/3.19 Intermediate Status:
% 2.78/3.19 Generated: 73956
% 2.78/3.19 Kept: 20241
% 2.78/3.19 Inuse: 832
% 2.78/3.19 Deleted: 839
% 2.78/3.19 Deletedinuse: 0
% 2.78/3.19
% 2.78/3.19 Resimplifying inuse:
% 2.78/3.19 Done
% 2.78/3.19
% 2.78/3.19 Resimplifying inuse:
% 2.78/3.19 Done
% 2.78/3.19
% 2.78/3.19
% 2.78/3.19 Intermediate Status:
% 2.78/3.19 Generated: 93781
% 2.78/3.19 Kept: 23287
% 2.78/3.19 Inuse: 876
% 2.78/3.19 Deleted: 839
% 2.78/3.19 Deletedinuse: 0
% 2.78/3.19
% 2.78/3.19 Resimplifying inuse:
% 2.78/3.19 Done
% 2.78/3.19
% 2.78/3.19 Resimplifying inuse:
% 2.78/3.19 Done
% 2.78/3.19
% 2.78/3.19
% 2.78/3.19 Intermediate Status:
% 2.78/3.19 Generated: 103361
% 2.78/3.19 Kept: 25390
% 2.78/3.19 Inuse: 896
% 2.78/3.19 Deleted: 839
% 2.78/3.19 Deletedinuse: 0
% 2.78/3.19
% 2.78/3.19 Resimplifying inuse:
% 2.78/3.19 Done
% 2.78/3.19
% 2.78/3.19 Resimplifying inuse:
% 2.78/3.19 Done
% 2.78/3.19
% 2.78/3.19
% 2.78/3.19 Intermediate Status:
% 2.78/3.19 Generated: 115287
% 2.78/3.19 Kept: 27440
% 2.78/3.19 Inuse: 945
% 2.78/3.19 Deleted: 843
% 2.78/3.19 Deletedinuse: 3
% 2.78/3.19
% 2.78/3.19 Resimplifying inuse:
% 2.78/3.19 Done
% 2.78/3.19
% 2.78/3.19
% 2.78/3.19 Bliksems!, er is een bewijs:
% 2.78/3.19 % SZS status Unsatisfiable
% 2.78/3.19 % SZS output start Refutation
% 2.78/3.19
% 2.78/3.19 clause( 7, [ 'c_lessequals'( X, X, 'tc_RealDef_Oreal' ) ] )
% 2.78/3.19 .
% 2.78/3.19 clause( 14, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'(
% 2.78/3.19 Y, Z, X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 2.78/3.19 T, Z, X ) ) ] )
% 2.78/3.19 .
% 2.78/3.19 clause( 75, [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_RealDef_Oreal' ) ) ]
% 2.78/3.19 )
% 2.78/3.19 .
% 2.78/3.19 clause( 112, [ 'c_lessequals'( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y
% 2.78/3.19 ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) )
% 2.78/3.19 ] )
% 2.78/3.19 .
% 2.78/3.19 clause( 154, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 2.78/3.19 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 2.78/3.19 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'c_HOL_Oabs__class_Oabs'(
% 2.78/3.19 X, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 2.78/3.19 .
% 2.78/3.19 clause( 171, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X )
% 2.78/3.19 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 2.78/3.19 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 2.78/3.19 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 2.78/3.19 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ] )
% 2.78/3.19 .
% 2.78/3.19 clause( 201, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 2.78/3.19 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 2.78/3.19 .
% 2.78/3.19 clause( 470, [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Otimes__class_Otimes'( X, X,
% 2.78/3.19 'tc_RealDef_Oreal' ) ), 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' )
% 2.78/3.19 ) ] )
% 2.78/3.19 .
% 2.78/3.19 clause( 595, [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Ozero__class_Ozero'(
% 2.78/3.19 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 2.78/3.19 ) ] )
% 2.78/3.19 .
% 2.78/3.19 clause( 755, [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'(
% 2.78/3.19 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), X ) ] )
% 2.78/3.19 .
% 2.78/3.19 clause( 769, [ =( 'c_Transcendental_Ocos'( 'c_HOL_Oinverse__class_Odivide'(
% 2.78/3.19 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 2.78/3.19 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 2.78/3.19 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ), 'c_RealDef_Oreal'( 'v_n',
% 2.78/3.19 'tc_nat' ), 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'(
% 2.78/3.19 'tc_RealDef_Oreal' ) ) ] )
% 2.78/3.19 .
% 2.78/3.19 clause( 770, [ =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'(
% 2.78/3.19 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'(
% 2.78/3.19 'tc_RealDef_Oreal' ) ) ] )
% 2.78/3.19 .
% 2.78/3.19 clause( 853, [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 2.78/3.19 'tc_RealDef_Oreal' ) ] )
% 2.78/3.19 .
% 2.78/3.19 clause( 860, [ 'class_Ring__and__Field_Oordered__ring__strict'(
% 2.78/3.19 'tc_RealDef_Oreal' ) ] )
% 2.78/3.19 .
% 2.78/3.19 clause( 899, [ 'class_Orderings_Oorder'( 'tc_RealDef_Oreal' ) ] )
% 2.78/3.19 .
% 2.78/3.19 clause( 1842, [ ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ), ~(
% 2.78/3.19 'c_HOL_Oord__class_Oless'( Y, X, 'tc_RealDef_Oreal' ) ) ] )
% 2.78/3.19 .
% 2.78/3.19 clause( 28068, [ ~( 'c_lessequals'( X, 'c_HOL_Ozero__class_Ozero'(
% 2.78/3.19 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'(
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 2.78/3.19 ), 'c_lessequals'( 'c_NthRoot_Osqrt'( 'c_HOL_Otimes__class_Otimes'( Y, X
% 2.78/3.19 , 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 2.78/3.19 ), 'tc_RealDef_Oreal' ) ] )
% 2.78/3.19 .
% 2.78/3.19 clause( 28207, [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'(
% 2.78/3.19 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 2.78/3.19 'tc_RealDef_Oreal' ) ] )
% 2.78/3.19 .
% 2.78/3.19 clause( 28214, [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 2.78/3.19 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 2.78/3.19 'tc_RealDef_Oreal' ) ) ] )
% 2.78/3.19 .
% 2.78/3.19 clause( 28235, [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 2.78/3.19 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ] )
% 2.78/3.19 .
% 2.78/3.19 clause( 28248, [] )
% 2.78/3.19 .
% 2.78/3.19
% 2.78/3.19
% 2.78/3.19 % SZS output end Refutation
% 2.78/3.19 found a proof!
% 2.78/3.19
% 2.78/3.19 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 2.78/3.19
% 2.78/3.19 initialclauses(
% 2.78/3.19 [ clause( 28250, [ ~(
% 2.78/3.19 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 2.78/3.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 2.78/3.19 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 2.78/3.19 Z, T, X ) ) ] )
% 2.78/3.19 , clause( 28251, [ ~(
% 2.78/3.19 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 2.78/3.19 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 2.78/3.19 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 2.78/3.19 X ), X ) ) ] )
% 2.78/3.19 , clause( 28252, [ ~(
% 2.78/3.19 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 2.78/3.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 2.78/3.19 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 2.78/3.19 Y, T, X ) ) ] )
% 2.78/3.19 , clause( 28253, [ ~(
% 2.78/3.19 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 2.78/3.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 2.78/3.19 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 2.78/3.19 Y, T, X ) ) ] )
% 2.78/3.19 , clause( 28254, [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y
% 2.78/3.19 , Y, X ) ] )
% 2.78/3.19 , clause( 28255, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y
% 2.78/3.19 , X ) ] )
% 2.78/3.19 , clause( 28256, [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 2.78/3.19 'c_lessequals'( Z, Y, 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( X, Z,
% 2.78/3.19 'tc_RealDef_Oreal' ) ) ] )
% 2.78/3.19 , clause( 28257, [ 'c_lessequals'( X, X, 'tc_RealDef_Oreal' ) ] )
% 2.78/3.19 , clause( 28258, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 2.78/3.19 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( T, Z
% 2.78/3.19 , X ) ), ~( 'c_lessequals'( Y, T, X ) ) ] )
% 2.78/3.19 , clause( 28259, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 2.78/3.19 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( T, Z, X ) ), ~(
% 2.78/3.19 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 2.78/3.19 , clause( 28260, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 2.78/3.19 , 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~(
% 2.78/3.19 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y,
% 2.78/3.19 'c_HOL_Oplus__class_Oplus'( Z, U, X ), X ) ) ] )
% 2.78/3.19 , clause( 28261, [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y
% 2.78/3.19 , Z, X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 2.78/3.19 ] )
% 2.78/3.19 , clause( 28262, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 2.78/3.19 ) ), 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 2.78/3.19 , clause( 28263, [ ~( 'class_Orderings_Oorder'( X ) ),
% 2.78/3.19 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 2.78/3.19 , X ) ), ~( 'c_lessequals'( T, Z, X ) ) ] )
% 2.78/3.19 , clause( 28264, [ ~( 'class_Orderings_Oorder'( X ) ),
% 2.78/3.19 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, T, X ) ), ~(
% 2.78/3.19 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ] )
% 2.78/3.19 , clause( 28265, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z
% 2.78/3.19 , X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ]
% 2.78/3.19 )
% 2.78/3.19 , clause( 28266, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 2.78/3.19 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 2.78/3.19 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 2.78/3.19 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), T, X ) ) ] )
% 2.78/3.19 , clause( 28267, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 2.78/3.19 , 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 2.78/3.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 2.78/3.19 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 2.78/3.19 , clause( 28268, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 2.78/3.19 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 2.78/3.19 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 2.78/3.19 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 2.78/3.19 , clause( 28269, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 2.78/3.19 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 2.78/3.19 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 2.78/3.19 ) ] )
% 2.78/3.19 , clause( 28270, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 2.78/3.19 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 2.78/3.19 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 2.78/3.19 ] )
% 2.78/3.19 , clause( 28271, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 2.78/3.19 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 2.78/3.19 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 2.78/3.19 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 2.78/3.19 , clause( 28272, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 2.78/3.19 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 2.78/3.19 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 2.78/3.19 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ] )
% 2.78/3.19 , clause( 28273, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 2.78/3.19 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 2.78/3.19 Y, X ) ) ] )
% 2.78/3.19 , clause( 28274, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 2.78/3.19 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 2.78/3.19 Y, X ) ) ] )
% 2.78/3.19 , clause( 28275, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y
% 2.78/3.19 , Z, X ), 'c_lessequals'( Z, Y, X ) ] )
% 2.78/3.19 , clause( 28276, [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ),
% 2.78/3.19 'c_lessequals'( Y, X, 'tc_RealDef_Oreal' ) ] )
% 2.78/3.19 , clause( 28277, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 2.78/3.19 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 2.78/3.19 Y, X ) ) ] )
% 2.78/3.19 , clause( 28278, [ ~( 'class_Orderings_Oorder'( X ) ), ~(
% 2.78/3.19 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 2.78/3.19 Y, X ) ) ] )
% 2.78/3.19 , clause( 28279, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 2.78/3.19 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 2.78/3.19 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 2.78/3.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 2.78/3.19 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'(
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( T, Z, X ) )
% 2.78/3.19 ] )
% 2.78/3.19 , clause( 28280, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.78/3.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 2.78/3.19 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 2.78/3.19 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 2.78/3.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 2.78/3.19 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'( Y,
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, T, X ) ) ]
% 2.78/3.19 )
% 2.78/3.19 , clause( 28281, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.78/3.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 2.78/3.19 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 2.78/3.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 2.78/3.19 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), Z, X ) ) ] )
% 2.78/3.19 , clause( 28282, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.78/3.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 2.78/3.19 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 2.78/3.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 2.78/3.19 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ] )
% 2.78/3.19 , clause( 28283, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.78/3.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 2.78/3.19 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 2.78/3.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 2.78/3.19 'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ] )
% 2.78/3.19 , clause( 28284, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.78/3.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 2.78/3.19 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 2.78/3.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 2.78/3.19 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ] )
% 2.78/3.19 , clause( 28285, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 2.78/3.19 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 2.78/3.19 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ), ~(
% 2.78/3.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 2.78/3.19 , clause( 28286, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 2.78/3.19 'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 2.78/3.19 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ), ~(
% 2.78/3.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ] )
% 2.78/3.19 , clause( 28287, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.78/3.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 2.78/3.19 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 2.78/3.19 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 2.78/3.19 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~(
% 2.78/3.19 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ] )
% 2.78/3.19 , clause( 28288, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.78/3.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 2.78/3.19 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 2.78/3.19 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 2.78/3.19 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~(
% 2.78/3.19 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ] )
% 2.78/3.19 , clause( 28289, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.78/3.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 2.78/3.19 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 2.78/3.19 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 2.78/3.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ] )
% 2.78/3.19 , clause( 28290, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.78/3.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 2.78/3.19 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 2.78/3.19 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ] )
% 2.78/3.19 , clause( 28291, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.78/3.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 2.78/3.19 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 2.78/3.19 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ] )
% 2.78/3.19 , clause( 28292, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.78/3.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 2.78/3.19 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 2.78/3.19 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ] )
% 2.78/3.19 , clause( 28293, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.78/3.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 2.78/3.19 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 2.78/3.19 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 2.78/3.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 2.78/3.19 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ] )
% 2.78/3.19 , clause( 28294, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.78/3.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 2.78/3.19 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 2.78/3.19 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 2.78/3.19 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 2.78/3.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ] )
% 2.78/3.19 , clause( 28295, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.78/3.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 2.78/3.19 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 2.78/3.19 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 2.78/3.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~(
% 2.78/3.19 'c_lessequals'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ] )
% 2.78/3.19 , clause( 28296, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.78/3.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 2.78/3.19 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 2.78/3.19 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 2.78/3.19 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ),
% 2.78/3.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ] )
% 2.78/3.19 , clause( 28297, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.78/3.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 2.78/3.19 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 2.78/3.19 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 2.78/3.19 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 2.78/3.19 ), X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 2.78/3.19 , X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 2.78/3.19 ] )
% 2.78/3.19 , clause( 28298, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.78/3.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 2.78/3.19 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X
% 2.78/3.19 ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 2.78/3.19 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 2.78/3.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 2.78/3.19 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ),
% 2.78/3.19 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ] )
% 2.78/3.19 , clause( 28299, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.78/3.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 2.78/3.19 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X
% 2.78/3.19 ), Y, X ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'(
% 2.78/3.19 Z, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 2.78/3.19 ), X ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T,
% 2.78/3.19 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ] )
% 2.78/3.19 , clause( 28300, [ ~(
% 2.78/3.19 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 2.78/3.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 2.78/3.19 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 2.78/3.19 Z, T, X ) ) ] )
% 2.78/3.19 , clause( 28301, [ ~(
% 2.78/3.19 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 2.78/3.19 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 2.78/3.19 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 2.78/3.19 X ), X ) ) ] )
% 2.78/3.19 , clause( 28302, [ =( 'c_Transcendental_Ocos'( 'c_HOL_Ominus__class_Ominus'(
% 2.78/3.19 X, Y, 'tc_RealDef_Oreal' ) ), 'c_HOL_Oplus__class_Oplus'(
% 2.78/3.19 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( X ),
% 2.78/3.19 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ),
% 2.78/3.19 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Osin'( X ),
% 2.78/3.19 'c_Transcendental_Osin'( Y ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 2.78/3.19 ) ] )
% 2.78/3.19 , clause( 28303, [ =( 'c_Transcendental_Ocos'( 'c_HOL_Ominus__class_Ominus'(
% 2.78/3.19 X, Y, 'tc_RealDef_Oreal' ) ), 'c_HOL_Oplus__class_Oplus'(
% 2.78/3.19 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( Y ),
% 2.78/3.19 'c_Transcendental_Ocos'( X ), 'tc_RealDef_Oreal' ),
% 2.78/3.19 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Osin'( Y ),
% 2.78/3.19 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 2.78/3.19 ) ] )
% 2.78/3.19 , clause( 28304, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 2.78/3.19 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 2.78/3.19 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 2.78/3.19 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 2.78/3.19 X ) ) ] )
% 2.78/3.19 , clause( 28305, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 2.78/3.19 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 2.78/3.19 , clause( 28306, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 2.78/3.19 , 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 2.78/3.19 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 2.78/3.19 , clause( 28307, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 2.78/3.19 X ) ), 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'(
% 2.78/3.19 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 2.78/3.19 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 2.78/3.19 X ) ] )
% 2.78/3.19 , clause( 28308, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 2.78/3.19 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 2.78/3.19 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 2.78/3.19 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ),
% 2.78/3.19 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 2.78/3.19 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ] )
% 2.78/3.19 , clause( 28309, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 2.78/3.19 'class_Int_Onumber'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 2.78/3.19 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 2.78/3.19 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'(
% 2.78/3.19 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 2.78/3.19 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ] )
% 2.78/3.19 , clause( 28310, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 2.78/3.19 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 2.78/3.19 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 2.78/3.19 , X ) ) ] )
% 2.78/3.19 , clause( 28311, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 2.78/3.19 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 2.78/3.19 , X ) ) ] )
% 2.78/3.19 , clause( 28312, [ =( 'c_Transcendental_Otan'( 'c_HOL_Oplus__class_Oplus'(
% 2.78/3.19 X, 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ),
% 2.78/3.19 'c_Transcendental_Otan'( X ) ) ] )
% 2.78/3.19 , clause( 28313, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 2.78/3.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 2.78/3.19 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), Z ) ] )
% 2.78/3.19 , clause( 28314, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 2.78/3.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 2.78/3.19 'c_HOL_Oplus__class_Oplus'( Z, Y, X ), X ), Z ) ] )
% 2.78/3.19 , clause( 28315, [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y
% 2.78/3.19 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 2.78/3.19 , clause( 28316, [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 2.78/3.19 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ) ] )
% 2.78/3.19 , clause( 28317, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z
% 2.78/3.19 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 2.78/3.19 , clause( 28318, [ ~(
% 2.78/3.19 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 2.78/3.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 2.78/3.19 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 2.78/3.19 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 2.78/3.19 , clause( 28319, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 2.78/3.19 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 2.78/3.19 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 2.78/3.19 , X ) ) ] )
% 2.78/3.19 , clause( 28320, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 2.78/3.19 , 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 2.78/3.19 , clause( 28321, [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 2.78/3.19 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 2.78/3.19 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ]
% 2.78/3.19 )
% 2.78/3.19 , clause( 28322, [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 2.78/3.19 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_RealDef_Oreal' )
% 2.78/3.19 , 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 2.78/3.19 ) ] )
% 2.78/3.19 , clause( 28323, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 2.78/3.19 ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 2.78/3.19 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 2.78/3.19 , clause( 28324, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 2.78/3.19 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_lessequals'( Z, Y, X ), ~(
% 2.78/3.19 'c_lessequals'( Y, Z, X ) ) ] )
% 2.78/3.19 , clause( 28325, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 2.78/3.19 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 2.78/3.19 , clause( 28326, [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_RealDef_Oreal' )
% 2.78/3.19 ) ] )
% 2.78/3.19 , clause( 28327, [ ~( 'class_Orderings_Oorder'( X ) ), ~(
% 2.78/3.19 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 2.78/3.19 , clause( 28328, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 2.78/3.19 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 2.78/3.19 , clause( 28329, [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oone__class_Oone'(
% 2.78/3.19 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 2.78/3.19 'c_NthRoot_Osqrt'( X ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 2.78/3.19 'tc_RealDef_Oreal' ) ) ] )
% 2.78/3.19 , clause( 28330, [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ),
% 2.78/3.19 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~(
% 2.78/3.19 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oone__class_Oone'(
% 2.78/3.19 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ] )
% 2.78/3.19 , clause( 28331, [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'(
% 2.78/3.19 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~(
% 2.78/3.19 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X,
% 2.78/3.19 'tc_RealDef_Oreal' ) ) ] )
% 2.78/3.19 , clause( 28332, [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'(
% 2.78/3.19 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 2.78/3.19 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ),
% 2.78/3.19 'tc_RealDef_Oreal' ) ) ] )
% 2.78/3.19 , clause( 28333, [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'(
% 2.78/3.19 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~(
% 2.78/3.19 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X,
% 2.78/3.19 'tc_RealDef_Oreal' ) ) ] )
% 2.78/3.19 , clause( 28334, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 2.78/3.19 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 2.78/3.19 ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ] )
% 2.78/3.19 , clause( 28335, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 2.78/3.19 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 2.78/3.19 ), =( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z ) ] )
% 2.78/3.19 , clause( 28336, [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 2.78/3.19 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) )
% 2.78/3.19 ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ) ) ] )
% 2.78/3.19 , clause( 28337, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 2.78/3.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 2.78/3.19 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 2.78/3.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 2.78/3.19 ), X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Oplus__class_Oplus'(
% 2.78/3.19 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 2.78/3.19 , X ), W, X ), X ) ) ] )
% 2.78/3.19 , clause( 28338, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 2.78/3.19 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'(
% 2.78/3.19 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U
% 2.78/3.19 , X ), W, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 2.78/3.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, U, X ), Y, X
% 2.78/3.19 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, U, X ),
% 2.78/3.19 W, X ), X ) ) ] )
% 2.78/3.19 , clause( 28339, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 2.78/3.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 2.78/3.19 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 2.78/3.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 2.78/3.19 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 2.78/3.19 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 2.78/3.19 , X ), T, X ), W, X ) ) ] )
% 2.78/3.19 , clause( 28340, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 2.78/3.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 2.78/3.19 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 2.78/3.19 , X ), U, X ), W, X ), ~( 'c_HOL_Oord__class_Oless'(
% 2.78/3.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), U, X
% 2.78/3.19 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, T, X ),
% 2.78/3.19 W, X ), X ) ) ] )
% 2.78/3.19 , clause( 28341, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 2.78/3.19 X ) ), 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 2.78/3.19 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ] )
% 2.78/3.19 , clause( 28342, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 2.78/3.19 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 2.78/3.19 X ) ) ] )
% 2.78/3.19 , clause( 28343, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 2.78/3.19 =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z,
% 2.78/3.19 Y, X ) ) ] )
% 2.78/3.19 , clause( 28344, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 2.78/3.19 =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z,
% 2.78/3.19 Y, X ) ) ] )
% 2.78/3.19 , clause( 28345, [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Ouminus__class_Ouminus'( X
% 2.78/3.19 , 'tc_RealDef_Oreal' ) ), 'c_HOL_Ouminus__class_Ouminus'(
% 2.78/3.19 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ] )
% 2.78/3.19 , clause( 28346, [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 2.78/3.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 2.78/3.19 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 2.78/3.19 W, X ) ) ), =( T, 'c_HOL_Oplus__class_Oplus'(
% 2.78/3.19 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 2.78/3.19 , X ), W, X ) ) ] )
% 2.78/3.19 , clause( 28347, [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 2.78/3.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 2.78/3.19 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 2.78/3.19 W, X ) ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 2.78/3.19 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), W ) ] )
% 2.78/3.19 , clause( 28348, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( X
% 2.78/3.19 , Y, 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 2.78/3.19 ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 2.78/3.19 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ),
% 2.78/3.19 'tc_RealDef_Oreal' ) ) ] )
% 2.78/3.19 , clause( 28349, [ 'c_HOL_Oord__class_Oless'( X,
% 2.78/3.19 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_RealDef_Oreal' ),
% 2.78/3.19 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 2.78/3.19 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_RealDef_Oreal' ),
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 2.78/3.19 ] )
% 2.78/3.19 , clause( 28350, [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 2.78/3.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 2.78/3.19 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 2.78/3.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 2.78/3.19 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), X ) ) ] )
% 2.78/3.19 , clause( 28351, [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) )
% 2.78/3.19 , 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 2.78/3.19 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 2.78/3.19 , clause( 28352, [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) )
% 2.78/3.19 , 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 2.78/3.19 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ] )
% 2.78/3.19 , clause( 28353, [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) )
% 2.78/3.19 , 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 2.78/3.19 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 2.78/3.19 , clause( 28354, [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) )
% 2.78/3.19 , 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 2.78/3.19 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 2.78/3.19 , clause( 28355, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 2.78/3.19 , 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 2.78/3.19 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 2.78/3.19 , clause( 28356, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 2.78/3.19 , 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 2.78/3.19 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ] )
% 2.78/3.19 , clause( 28357, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 2.78/3.19 , 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 2.78/3.19 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 2.78/3.19 , clause( 28358, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 2.78/3.19 , 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 2.78/3.19 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 2.78/3.19 , clause( 28359, [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oarctan'( X
% 2.78/3.19 ), 'c_Transcendental_Oarctan'( Y ), 'tc_RealDef_Oreal' ), ~(
% 2.78/3.19 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ) ] )
% 2.78/3.19 , clause( 28360, [ ~(
% 2.78/3.19 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), ~(
% 2.78/3.19 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_HOL_Oord__class_Oless'(
% 2.78/3.19 Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T, X
% 2.78/3.19 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X
% 2.78/3.19 ) ) ] )
% 2.78/3.19 , clause( 28361, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 2.78/3.19 X ) ), 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'(
% 2.78/3.19 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 2.78/3.19 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), X ),
% 2.78/3.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'(
% 2.78/3.19 'c_HOL_Ominus__class_Ominus'( Y, T, X ), X ), 'c_HOL_Oabs__class_Oabs'(
% 2.78/3.19 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ), X ) ] )
% 2.78/3.19 , clause( 28362, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 2.78/3.19 , 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 2.78/3.19 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_lessequals'(
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 2.78/3.19 , clause( 28363, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 2.78/3.19 , 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 2.78/3.19 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 2.78/3.19 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ] )
% 2.78/3.19 , clause( 28364, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X
% 2.78/3.19 ) ), 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 2.78/3.19 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 2.78/3.19 ), ~( 'c_lessequals'( Y, T, X ) ) ] )
% 2.78/3.19 , clause( 28365, [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 2.78/3.19 'c_lessequals'( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ),
% 2.78/3.19 'tc_RealDef_Oreal' ) ) ] )
% 2.78/3.19 , clause( 28366, [ 'c_lessequals'( 'c_NthRoot_Osqrt'( X ),
% 2.78/3.19 'c_NthRoot_Osqrt'( Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Y,
% 2.78/3.19 'tc_RealDef_Oreal' ) ) ] )
% 2.78/3.19 , clause( 28367, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 2.78/3.19 ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 2.78/3.19 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 2.78/3.19 , clause( 28368, [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 2.78/3.19 'tc_RealDef_Oreal' ) ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 2.78/3.19 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), =( X,
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ] )
% 2.78/3.19 , clause( 28369, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 2.78/3.19 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 2.78/3.19 , 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ), =(
% 2.78/3.19 'c_HOL_Oplus__class_Oplus'( Y, T, X ), U ) ] )
% 2.78/3.19 , clause( 28370, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 2.78/3.19 , 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 2.78/3.19 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_lessequals'( Y,
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 2.78/3.19 , clause( 28371, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 2.78/3.19 , 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 2.78/3.19 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 2.78/3.19 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 2.78/3.19 , clause( 28372, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 2.78/3.19 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~(
% 2.78/3.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 2.78/3.19 ), X, 'tc_RealDef_Oreal' ) ) ] )
% 2.78/3.19 , clause( 28373, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 2.78/3.19 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~(
% 2.78/3.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 2.78/3.19 ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ] )
% 2.78/3.19 , clause( 28374, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 2.78/3.19 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~(
% 2.78/3.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 2.78/3.19 ), X, 'tc_RealDef_Oreal' ) ) ] )
% 2.78/3.19 , clause( 28375, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 2.78/3.19 ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 2.78/3.19 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 2.78/3.19 , clause( 28376, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 2.78/3.19 ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 2.78/3.19 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 2.78/3.19 , clause( 28377, [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ),
% 2.78/3.19 ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 2.78/3.19 T, Z, X ) ) ), =( Y, T ) ] )
% 2.78/3.19 , clause( 28378, [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ),
% 2.78/3.19 ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 2.78/3.19 Y, T, X ) ) ), =( Z, T ) ] )
% 2.78/3.19 , clause( 28379, [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X )
% 2.78/3.19 ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 2.78/3.19 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ] )
% 2.78/3.19 , clause( 28380, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 2.78/3.19 'class_Int_Onumber__ring'( X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z
% 2.78/3.19 , X ), 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ] )
% 2.78/3.19 , clause( 28381, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ),
% 2.78/3.19 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 2.78/3.19 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'( Y,
% 2.78/3.19 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ),
% 2.78/3.19 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ] )
% 2.78/3.19 , clause( 28382, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 2.78/3.19 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'( X,
% 2.78/3.19 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_RealDef_Oreal' ),
% 2.78/3.19 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 2.78/3.19 Y, X, 'tc_RealDef_Oreal' ) ) ] )
% 2.78/3.19 , clause( 28383, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 2.78/3.19 X ) ), 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 2.78/3.19 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~(
% 2.78/3.19 'c_lessequals'( Y, Z, X ) ) ] )
% 2.78/3.19 , clause( 28384, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 2.78/3.19 X ) ), 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 2.78/3.19 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~(
% 2.78/3.19 'c_lessequals'( Y, Z, X ) ) ] )
% 2.78/3.19 , clause( 28385, [ 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( X,
% 2.78/3.19 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Y,
% 2.78/3.19 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'(
% 2.78/3.19 Y, 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ] )
% 2.78/3.19 , clause( 28386, [ =( 'c_Transcendental_Osin'(
% 2.78/3.19 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ) ),
% 2.78/3.19 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Osin'( X ),
% 2.78/3.19 'tc_RealDef_Oreal' ) ) ] )
% 2.78/3.19 , clause( 28387, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 2.78/3.19 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 2.78/3.19 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ] )
% 2.78/3.19 , clause( 28388, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 2.78/3.19 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 2.78/3.19 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ] )
% 2.78/3.19 , clause( 28389, [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 2.78/3.19 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 2.78/3.19 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ] )
% 2.78/3.19 , clause( 28390, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 2.78/3.19 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 2.78/3.19 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ] )
% 2.78/3.19 , clause( 28391, [ =( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 2.78/3.19 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'( X,
% 2.78/3.19 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_RealDef_Oreal' ),
% 2.78/3.19 'tc_RealDef_Oreal' ) ) ] )
% 2.78/3.19 , clause( 28392, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 2.78/3.19 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 2.78/3.19 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 2.78/3.19 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, U,
% 2.78/3.19 X ), X ) ) ] )
% 2.78/3.19 , clause( 28393, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 2.78/3.19 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 2.78/3.19 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ] )
% 2.78/3.19 , clause( 28394, [ 'c_lessequals'( X, 'c_HOL_Oone__class_Oone'(
% 2.78/3.19 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 2.78/3.19 'c_NthRoot_Osqrt'( X ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 2.78/3.19 'tc_RealDef_Oreal' ) ) ] )
% 2.78/3.19 , clause( 28395, [ 'c_lessequals'( 'c_NthRoot_Osqrt'( X ),
% 2.78/3.19 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~(
% 2.78/3.19 'c_lessequals'( X, 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 2.78/3.19 'tc_RealDef_Oreal' ) ) ] )
% 2.78/3.19 , clause( 28396, [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 2.78/3.19 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( 'c_HOL_Oplus__class_Oplus'(
% 2.78/3.19 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 2.78/3.19 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 2.78/3.19 'tc_RealDef_Oreal' ) ), 'tc_RealDef_Oreal' ) ] )
% 2.78/3.19 , clause( 28397, [ 'c_lessequals'( 'c_Transcendental_Osin'( X ),
% 2.78/3.19 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 2.78/3.19 , clause( 28398, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 2.78/3.19 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 2.78/3.19 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 2.78/3.19 , clause( 28399, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 2.78/3.19 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 2.78/3.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 2.78/3.19 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ] )
% 2.78/3.19 , clause( 28400, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.78/3.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 2.78/3.19 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 2.78/3.19 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 2.78/3.19 , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 2.78/3.19 , X ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z
% 2.78/3.19 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 2.78/3.19 ), X ) ] )
% 2.78/3.19 , clause( 28401, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.78/3.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 2.78/3.19 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'(
% 2.78/3.19 X ), X ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'(
% 2.78/3.19 Z, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 2.78/3.19 ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 2.78/3.19 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ] )
% 2.78/3.19 , clause( 28402, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.78/3.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 2.78/3.19 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 2.78/3.19 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 2.78/3.19 , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 2.78/3.19 ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X
% 2.78/3.19 ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 2.78/3.19 ), X ) ] )
% 2.78/3.19 , clause( 28403, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.78/3.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 2.78/3.19 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 2.78/3.19 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 2.78/3.19 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 2.78/3.19 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 2.78/3.19 ), X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X )
% 2.78/3.19 , X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 2.78/3.19 ] )
% 2.78/3.19 , clause( 28404, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.78/3.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 2.78/3.19 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 2.78/3.19 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 2.78/3.19 ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 2.78/3.19 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 2.78/3.19 ~( 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 2.78/3.19 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ] )
% 2.78/3.19 , clause( 28405, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 2.78/3.19 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oabs__class_Oabs'(
% 2.78/3.19 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 2.78/3.19 'c_HOL_Ouminus__class_Ouminus'( 'c_Int_Onumber__class_Onumber__of'( Y, X
% 2.78/3.19 ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 2.78/3.19 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 2.78/3.19 ), X ) ) ] )
% 2.78/3.19 , clause( 28406, [ =( 'c_Transcendental_Oarctan'( 'c_Transcendental_Otan'(
% 2.78/3.19 X ) ), X ), ~( 'c_HOL_Oord__class_Oless'( X,
% 2.78/3.19 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 2.78/3.19 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 2.78/3.19 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 2.78/3.19 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 2.78/3.19 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 2.78/3.19 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 2.78/3.19 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 2.78/3.19 ), 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ] )
% 2.78/3.19 , clause( 28407, [ =( 'c_HOL_Oplus__class_Oplus'(
% 2.78/3.19 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( X ),
% 2.78/3.19 'c_Transcendental_Ocos'( X ), 'tc_RealDef_Oreal' ),
% 2.78/3.19 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Osin'( X ),
% 2.78/3.19 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 2.78/3.19 , 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ] )
% 2.78/3.19 , clause( 28408, [ =( 'c_Transcendental_Otan'( 'c_HOL_Oplus__class_Oplus'(
% 2.78/3.19 X, 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y,
% 2.78/3.19 'tc_RealDef_Oreal' ), 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ),
% 2.78/3.19 'tc_RealDef_Oreal' ) ), 'c_Transcendental_Otan'( X ) ) ] )
% 2.78/3.19 , clause( 28409, [ 'c_lessequals'( 'c_Transcendental_Ocos'( X ),
% 2.78/3.19 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y
% 2.78/3.19 , 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 2.78/3.19 ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'(
% 2.78/3.19 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Opi',
% 2.78/3.19 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ] )
% 2.78/3.19 , clause( 28410, [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Ocos'( X )
% 2.78/3.19 , 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 2.78/3.19 X, 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ), ~(
% 2.78/3.19 'c_HOL_Oord__class_Oless'( Y, X, 'tc_RealDef_Oreal' ) ), ~(
% 2.78/3.19 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y,
% 2.78/3.19 'tc_RealDef_Oreal' ) ) ] )
% 2.78/3.19 , clause( 28411, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 2.78/3.19 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 2.78/3.19 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'c_HOL_Oabs__class_Oabs'(
% 2.78/3.19 X, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 2.78/3.19 , clause( 28412, [ =( 'c_Transcendental_Otan'( 'c_HOL_Oplus__class_Oplus'(
% 2.78/3.19 X, 'c_HOL_Otimes__class_Otimes'( 'c_RealDef_Oreal'( Y, 'tc_nat' ),
% 2.78/3.19 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ),
% 2.78/3.19 'c_Transcendental_Otan'( X ) ) ] )
% 2.78/3.19 , clause( 28413, [ =( 'c_Transcendental_Otan'( 'c_HOL_Oplus__class_Oplus'(
% 2.78/3.19 X, Y, 'tc_RealDef_Oreal' ) ), 'c_HOL_Oinverse__class_Odivide'(
% 2.78/3.19 'c_HOL_Oplus__class_Oplus'( 'c_Transcendental_Otan'( X ),
% 2.78/3.19 'c_Transcendental_Otan'( Y ), 'tc_RealDef_Oreal' ),
% 2.78/3.19 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oone__class_Oone'(
% 2.78/3.19 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'(
% 2.78/3.19 'c_Transcendental_Otan'( X ), 'c_Transcendental_Otan'( Y ),
% 2.78/3.19 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), =(
% 2.78/3.19 'c_Transcendental_Ocos'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 2.78/3.19 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 2.78/3.19 ), =( 'c_Transcendental_Ocos'( Y ), 'c_HOL_Ozero__class_Ozero'(
% 2.78/3.19 'tc_RealDef_Oreal' ) ), =( 'c_Transcendental_Ocos'( X ),
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ] )
% 2.78/3.19 , clause( 28414, [ =( 'c_HOL_Ominus__class_Ominus'(
% 2.78/3.19 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 2.78/3.19 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Otan'( X ),
% 2.78/3.19 'c_Transcendental_Otan'( Y ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 2.78/3.19 , 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Ocos'(
% 2.78/3.19 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ) ),
% 2.78/3.19 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( X ),
% 2.78/3.19 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 2.78/3.19 ), =( 'c_Transcendental_Ocos'( Y ), 'c_HOL_Ozero__class_Ozero'(
% 2.78/3.19 'tc_RealDef_Oreal' ) ), =( 'c_Transcendental_Ocos'( X ),
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ] )
% 2.78/3.19 , clause( 28415, [ =( 'c_Transcendental_Otan'( X ),
% 2.78/3.19 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Osin'(
% 2.78/3.19 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 2.78/3.19 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), X,
% 2.78/3.19 'tc_RealDef_Oreal' ) ), 'c_HOL_Oplus__class_Oplus'(
% 2.78/3.19 'c_Transcendental_Ocos'( 'c_HOL_Otimes__class_Otimes'(
% 2.78/3.19 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 2.78/3.19 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ),
% 2.78/3.19 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 2.78/3.19 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( X,
% 2.78/3.19 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 2.78/3.19 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 2.78/3.19 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 2.78/3.19 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 2.78/3.19 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 2.78/3.19 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 2.78/3.19 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 2.78/3.19 ), 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ] )
% 2.78/3.19 , clause( 28416, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 2.78/3.19 ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 2.78/3.19 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 2.78/3.19 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 2.78/3.19 , clause( 28417, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 2.78/3.19 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 2.78/3.19 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 2.78/3.19 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 2.78/3.19 , clause( 28418, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 2.78/3.19 ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 2.78/3.19 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 2.78/3.19 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 2.78/3.19 X ), T, X ) ) ] )
% 2.78/3.19 , clause( 28419, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 2.78/3.19 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 2.78/3.19 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 2.78/3.19 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 2.78/3.19 , clause( 28420, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 2.78/3.19 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 2.78/3.19 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 2.78/3.19 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 2.78/3.19 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ] )
% 2.78/3.19 , clause( 28421, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 2.78/3.19 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 2.78/3.19 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 2.78/3.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 2.78/3.19 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ] )
% 2.78/3.19 , clause( 28422, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 2.78/3.19 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 2.78/3.19 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 2.78/3.19 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 2.78/3.19 , clause( 28423, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 2.78/3.19 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 2.78/3.19 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 2.78/3.19 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 2.78/3.19 , clause( 28424, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 2.78/3.19 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 2.78/3.19 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 2.78/3.19 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 2.78/3.19 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ] )
% 2.78/3.19 , clause( 28425, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 2.78/3.19 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 2.78/3.19 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 2.78/3.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 2.78/3.19 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 2.78/3.19 , clause( 28426, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 2.78/3.19 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 2.78/3.19 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 2.78/3.19 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 2.78/3.19 , clause( 28427, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 2.78/3.19 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 2.78/3.19 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 2.78/3.19 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 2.78/3.19 , clause( 28428, [ ~(
% 2.78/3.19 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 2.78/3.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 2.78/3.19 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 2.78/3.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 2.78/3.19 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ] )
% 2.78/3.19 , clause( 28429, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 2.78/3.19 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 2.78/3.19 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 2.78/3.19 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 2.78/3.19 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 2.78/3.19 , clause( 28430, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 2.78/3.19 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 2.78/3.19 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 2.78/3.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 2.78/3.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 2.78/3.19 , clause( 28431, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 2.78/3.19 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 2.78/3.19 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) )
% 2.78/3.19 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 2.78/3.19 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ] )
% 2.78/3.19 , clause( 28432, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 2.78/3.19 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 2.78/3.19 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) )
% 2.78/3.19 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 2.78/3.19 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ] )
% 2.78/3.19 , clause( 28433, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 2.78/3.19 ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 2.78/3.19 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 2.78/3.19 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 2.78/3.19 , clause( 28434, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 2.78/3.19 ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 2.78/3.19 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 2.78/3.19 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 2.78/3.19 , clause( 28435, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 2.78/3.19 ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 2.78/3.19 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 2.78/3.19 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 2.78/3.19 , clause( 28436, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 2.78/3.19 ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 2.78/3.19 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 2.78/3.19 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 2.78/3.19 , clause( 28437, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 2.78/3.19 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 2.78/3.19 , 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 2.78/3.19 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 2.78/3.19 , clause( 28438, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 2.78/3.19 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 2.78/3.19 , 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 2.78/3.19 , clause( 28439, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 2.78/3.19 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 2.78/3.19 , 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 2.78/3.19 , clause( 28440, [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ),
% 2.78/3.19 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 2.78/3.19 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'(
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Z, T, X ) )
% 2.78/3.19 ] )
% 2.78/3.19 , clause( 28441, [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ),
% 2.78/3.19 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 2.78/3.19 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'(
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Z, T, X ) )
% 2.78/3.19 ] )
% 2.78/3.19 , clause( 28442, [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ),
% 2.78/3.19 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 2.78/3.19 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~( 'c_lessequals'(
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 2.78/3.19 ] )
% 2.78/3.19 , clause( 28443, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 2.78/3.19 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 2.78/3.19 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( Y,
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Z, X ) ) ]
% 2.78/3.19 )
% 2.78/3.19 , clause( 28444, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 2.78/3.19 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 2.78/3.19 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~( 'c_lessequals'( Z,
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 2.78/3.19 )
% 2.78/3.19 , clause( 28445, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 2.78/3.19 'class_Int_Onumber__ring'( X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y,
% 2.78/3.19 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 2.78/3.19 Y, 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ), =( T, U ), =( Z,
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.78/3.19 , clause( 28446, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 2.78/3.19 ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y
% 2.78/3.19 , X ), 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ),
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 2.78/3.19 ) ) ] )
% 2.78/3.19 , clause( 28447, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 2.78/3.19 ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y
% 2.78/3.19 , X ), 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ),
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 2.78/3.19 ) ) ] )
% 2.78/3.19 , clause( 28448, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 2.78/3.19 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 2.78/3.19 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 2.78/3.19 , clause( 28449, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 2.78/3.19 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 2.78/3.19 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 2.78/3.19 , clause( 28450, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 2.78/3.19 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 2.78/3.19 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 2.78/3.19 , clause( 28451, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 2.78/3.19 ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 2.78/3.19 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ) ] )
% 2.78/3.19 , clause( 28452, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 2.78/3.19 ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 2.78/3.19 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 2.78/3.19 , clause( 28453, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 2.78/3.19 ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 2.78/3.19 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 2.78/3.19 , clause( 28454, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 2.78/3.19 X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 2.78/3.19 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 2.78/3.19 , clause( 28455, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 2.78/3.19 ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 2.78/3.19 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 2.78/3.19 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 2.78/3.19 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ] )
% 2.78/3.19 , clause( 28456, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 2.78/3.19 ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 2.78/3.19 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 2.78/3.19 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 2.78/3.19 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ] )
% 2.78/3.19 , clause( 28457, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 2.78/3.19 ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 2.78/3.19 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 2.78/3.19 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 2.78/3.19 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ] )
% 2.78/3.19 , clause( 28458, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 2.78/3.19 ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 2.78/3.19 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 2.78/3.19 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 2.78/3.19 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ] )
% 2.78/3.19 , clause( 28459, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 2.78/3.19 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 2.78/3.19 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( Z, U, X ) )
% 2.78/3.19 , ~( 'c_lessequals'( Y, T, X ) ) ] )
% 2.78/3.19 , clause( 28460, [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ),
% 2.78/3.19 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 2.78/3.19 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Z, U, X ) )
% 2.78/3.19 , ~( 'c_lessequals'( Y, T, X ) ) ] )
% 2.78/3.19 , clause( 28461, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 2.78/3.19 ), 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 2.78/3.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 2.78/3.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 2.78/3.19 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 2.78/3.19 , clause( 28462, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 2.78/3.19 ), 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 2.78/3.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 2.78/3.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 2.78/3.19 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ] )
% 2.78/3.19 , clause( 28463, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 2.78/3.19 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X )
% 2.78/3.19 , 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 2.78/3.19 , clause( 28464, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 2.78/3.19 ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 2.78/3.19 , clause( 28465, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 2.78/3.19 ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 2.78/3.19 , clause( 28466, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 2.78/3.19 X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 2.78/3.19 , clause( 28467, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 2.78/3.19 X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 2.78/3.19 , clause( 28468, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 2.78/3.19 X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 2.78/3.19 , clause( 28469, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 2.78/3.19 X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 2.78/3.19 , clause( 28470, [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 2.78/3.19 X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 2.78/3.19 , clause( 28471, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 2.78/3.19 ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 2.78/3.19 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 2.78/3.19 ) ) ] )
% 2.78/3.19 , clause( 28472, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 2.78/3.19 ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 2.78/3.19 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 2.78/3.19 , Y, X ), X ) ) ] )
% 2.78/3.19 , clause( 28473, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 2.78/3.19 ), 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 2.78/3.19 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 2.78/3.19 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 2.78/3.19 , T, X ), X ) ) ] )
% 2.78/3.19 , clause( 28474, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 2.78/3.19 ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 2.78/3.19 'c_HOL_Otimes__class_Otimes'( Z, T, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 2.78/3.19 , T, X ), X ) ) ] )
% 2.78/3.19 , clause( 28475, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 2.78/3.19 ), 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 2.78/3.19 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 2.78/3.19 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 2.78/3.19 , Y, X ), X ) ) ] )
% 2.78/3.19 , clause( 28476, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 2.78/3.19 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 2.78/3.19 , clause( 28477, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 2.78/3.19 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'(
% 2.78/3.19 X ), X ) ] )
% 2.78/3.19 , clause( 28478, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 2.78/3.19 ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ),
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 2.78/3.19 , clause( 28479, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 2.78/3.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 2.78/3.19 'c_HOL_Oone__class_Oone'( X ), X ) ] )
% 2.78/3.19 , clause( 28480, [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), ~(
% 2.78/3.19 'class_Int_Onumber'( X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 2.78/3.19 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Oplus__class_Oplus'( Z
% 2.78/3.19 , T, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 2.78/3.19 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ),
% 2.78/3.19 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 2.78/3.19 , T, X ), X ) ) ] )
% 2.78/3.19 , clause( 28481, [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~(
% 2.78/3.19 'class_Int_Onumber'( X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 2.78/3.19 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ominus__class_Ominus'(
% 2.78/3.19 Z, T, X ), X ), 'c_HOL_Ominus__class_Ominus'(
% 2.78/3.19 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 2.78/3.19 , Z, X ), 'c_HOL_Otimes__class_Otimes'(
% 2.78/3.19 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ) ] )
% 2.78/3.19 , clause( 28482, [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~(
% 2.78/3.19 'class_Int_Onumber'( X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 2.78/3.19 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 2.78/3.19 'c_Int_Onumber__class_Onumber__of'( T, X ), X ),
% 2.78/3.19 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y,
% 2.78/3.19 'c_Int_Onumber__class_Onumber__of'( T, X ), X ),
% 2.78/3.19 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 2.78/3.19 ), X ), X ) ) ] )
% 2.78/3.19 , clause( 28483, [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), ~(
% 2.78/3.19 'class_Int_Onumber'( X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 2.78/3.19 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_Int_Onumber__class_Onumber__of'(
% 2.78/3.19 T, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 2.78/3.19 , 'c_Int_Onumber__class_Onumber__of'( T, X ), X ),
% 2.78/3.19 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 2.78/3.19 ), X ), X ) ) ] )
% 2.78/3.19 , clause( 28484, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.78/3.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 2.78/3.19 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 2.78/3.19 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 2.78/3.19 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 2.78/3.19 ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 'c_lessequals'(
% 2.78/3.19 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( T
% 2.78/3.19 , X ), X ), Z, X ) ) ] )
% 2.78/3.19 , clause( 28485, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.78/3.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 2.78/3.19 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 2.78/3.19 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 2.78/3.19 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 2.78/3.19 ), X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 2.78/3.19 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ] )
% 2.78/3.19 , clause( 28486, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.78/3.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 2.78/3.19 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 2.78/3.19 Y, 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), T, X ), ~(
% 2.78/3.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 2.78/3.19 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'( Y,
% 2.78/3.19 'c_HOL_Oinverse__class_Odivide'( T, 'c_Int_Onumber__class_Onumber__of'( Z
% 2.78/3.19 , X ), X ), X ) ) ] )
% 2.78/3.19 , clause( 28487, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.78/3.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 2.78/3.19 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 2.78/3.19 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 2.78/3.19 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 2.78/3.19 X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 'c_lessequals'(
% 2.78/3.19 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 2.78/3.19 ), X ), Z, X ) ) ] )
% 2.78/3.19 , clause( 28488, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.78/3.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 2.78/3.19 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 2.78/3.19 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 2.78/3.19 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 2.78/3.19 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 2.78/3.19 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 2.78/3.19 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ),
% 2.78/3.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ] )
% 2.78/3.19 , clause( 28489, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.78/3.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 2.78/3.19 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 2.78/3.19 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), T, X ), ~(
% 2.78/3.19 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 2.78/3.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 2.78/3.19 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ),
% 2.78/3.19 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ] )
% 2.78/3.19 , clause( 28490, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.78/3.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 2.78/3.19 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 2.78/3.19 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 2.78/3.19 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 2.78/3.19 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 2.78/3.19 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'(
% 2.78/3.19 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ), ~(
% 2.78/3.19 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 2.78/3.19 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ] )
% 2.78/3.19 , clause( 28491, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.78/3.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 2.78/3.19 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 2.78/3.19 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 2.78/3.19 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 2.78/3.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 2.78/3.19 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 2.78/3.19 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ] )
% 2.78/3.19 , clause( 28492, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.78/3.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 2.78/3.19 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 2.78/3.19 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), T, X ), ~(
% 2.78/3.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 2.78/3.19 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 2.78/3.19 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ] )
% 2.78/3.19 , clause( 28493, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.78/3.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 2.78/3.19 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 2.78/3.19 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 2.78/3.19 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 2.78/3.19 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 2.78/3.19 ), X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X )
% 2.78/3.19 , X ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 2.78/3.19 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ] )
% 2.78/3.19 , clause( 28494, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.78/3.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 2.78/3.19 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 2.78/3.19 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 2.78/3.19 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 2.78/3.19 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 2.78/3.19 ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'(
% 2.78/3.19 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ),
% 2.78/3.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ] )
% 2.78/3.19 , clause( 28495, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.78/3.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 2.78/3.19 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 2.78/3.19 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 2.78/3.19 , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 2.78/3.19 , X ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z
% 2.78/3.19 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 2.78/3.19 'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 2.78/3.19 ), X ), X ) ) ] )
% 2.78/3.19 , clause( 28496, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.78/3.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 2.78/3.19 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 2.78/3.19 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 2.78/3.19 , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 2.78/3.19 ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X
% 2.78/3.19 ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 2.78/3.19 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 2.78/3.19 ), X ), Z, X ) ) ] )
% 2.78/3.19 , clause( 28497, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.78/3.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 2.78/3.19 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 2.78/3.19 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 2.78/3.19 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 2.78/3.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 2.78/3.19 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'(
% 2.78/3.19 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ] )
% 2.78/3.19 , clause( 28498, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.78/3.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 2.78/3.19 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 2.78/3.19 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 2.78/3.19 , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 2.78/3.19 X ), T, X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, T,
% 2.78/3.19 X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ] )
% 2.78/3.19 , clause( 28499, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.78/3.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 2.78/3.19 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 2.78/3.19 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 2.78/3.19 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 2.78/3.19 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 2.78/3.19 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T,
% 2.78/3.19 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ), ~(
% 2.78/3.19 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 2.78/3.19 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ] )
% 2.78/3.19 , clause( 28500, [ =( 'c_Transcendental_Otan'(
% 2.78/3.19 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ) ),
% 2.78/3.19 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Otan'( X ),
% 2.78/3.19 'tc_RealDef_Oreal' ) ) ] )
% 2.78/3.19 , clause( 28501, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 2.78/3.19 X ) ), 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'(
% 2.78/3.19 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 2.78/3.19 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), X
% 2.78/3.19 ) ] )
% 2.78/3.19 , clause( 28502, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 2.78/3.19 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'( X, Y,
% 2.78/3.19 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 2.78/3.19 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ), Y,
% 2.78/3.19 'tc_RealDef_Oreal' ) ) ] )
% 2.78/3.19 , clause( 28503, [ 'c_HOL_Oord__class_Oless'(
% 2.78/3.19 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ), Y,
% 2.78/3.19 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 2.78/3.19 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 2.78/3.19 'tc_RealDef_Oreal' ) ) ] )
% 2.78/3.19 , clause( 28504, [ ~( 'class_Orderings_Oorder'( X ) ),
% 2.78/3.19 'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Z, Y ), ~( 'c_lessequals'( Y, Z
% 2.78/3.19 , X ) ) ] )
% 2.78/3.19 , clause( 28505, [ ~( 'class_Orderings_Oorder'( X ) ),
% 2.78/3.19 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ), =(
% 2.78/3.19 Z, Y ) ] )
% 2.78/3.19 , clause( 28506, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 2.78/3.19 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 2.78/3.19 , clause( 28507, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~(
% 2.78/3.19 'c_lessequals'( Y, Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ] )
% 2.78/3.19 , clause( 28508, [ ~( 'class_Orderings_Oorder'( X ) ),
% 2.78/3.19 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ), =(
% 2.78/3.19 Y, Z ) ] )
% 2.78/3.19 , clause( 28509, [ ~( 'class_Orderings_Oorder'( X ) ),
% 2.78/3.19 'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 2.78/3.19 , X ) ) ] )
% 2.78/3.19 , clause( 28510, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ),
% 2.78/3.19 =( X, Y ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ] )
% 2.78/3.19 , clause( 28511, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 2.78/3.19 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 2.78/3.19 , clause( 28512, [ ~( 'class_Orderings_Oorder'( X ) ),
% 2.78/3.19 'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 2.78/3.19 , X ) ) ] )
% 2.78/3.19 , clause( 28513, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 2.78/3.19 , ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 2.78/3.19 'c_HOL_Ominus__class_Ominus'( T, U, X ) ) ), 'c_lessequals'( U, T, X ),
% 2.78/3.19 ~( 'c_lessequals'( Z, Y, X ) ) ] )
% 2.78/3.19 , clause( 28514, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 2.78/3.19 , ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 2.78/3.19 'c_HOL_Ominus__class_Ominus'( T, U, X ) ) ), 'c_lessequals'( Z, Y, X ),
% 2.78/3.19 ~( 'c_lessequals'( U, T, X ) ) ] )
% 2.78/3.19 , clause( 28515, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 2.78/3.19 , ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 2.78/3.19 'c_HOL_Ominus__class_Ominus'( T, U, X ) ) ), 'c_HOL_Oord__class_Oless'( T
% 2.78/3.19 , U, X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 2.78/3.19 , clause( 28516, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 2.78/3.19 , ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 2.78/3.19 'c_HOL_Ominus__class_Ominus'( T, U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y
% 2.78/3.19 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( T, U, X ) ) ] )
% 2.78/3.19 , clause( 28517, [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ) ) )
% 2.78/3.19 , =( X, Y ) ] )
% 2.78/3.19 , clause( 28518, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 2.78/3.19 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 2.78/3.19 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 2.78/3.19 , clause( 28519, [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 2.78/3.19 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~(
% 2.78/3.19 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X,
% 2.78/3.19 'tc_RealDef_Oreal' ) ) ] )
% 2.78/3.19 , clause( 28520, [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 2.78/3.19 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X )
% 2.78/3.19 , 'tc_RealDef_Oreal' ) ) ] )
% 2.78/3.19 , clause( 28521, [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 2.78/3.19 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~(
% 2.78/3.19 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X,
% 2.78/3.19 'tc_RealDef_Oreal' ) ) ] )
% 2.78/3.19 , clause( 28522, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 2.78/3.19 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'(
% 2.78/3.19 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ), Z ) ] )
% 2.78/3.19 , clause( 28523, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 2.78/3.19 X ) ), 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ),
% 2.78/3.19 ~( 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ] )
% 2.78/3.19 , clause( 28524, [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 2.78/3.19 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 2.78/3.19 'c_HOL_Oabs__class_Oabs'( Y, 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal'
% 2.78/3.19 ) ) ] )
% 2.78/3.19 , clause( 28525, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 2.78/3.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 2.78/3.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 2.78/3.19 ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 2.78/3.19 , clause( 28526, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 2.78/3.19 , 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 2.78/3.19 , clause( 28527, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 2.78/3.19 , 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 2.78/3.19 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 2.78/3.19 , clause( 28528, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 2.78/3.19 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Y,
% 2.78/3.19 'c_HOL_Oone__class_Oone'( X ), X ), X ) ] )
% 2.78/3.19 , clause( 28529, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 2.78/3.19 , 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 2.78/3.19 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 2.78/3.19 , clause( 28530, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 2.78/3.19 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 2.78/3.19 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ] )
% 2.78/3.19 , clause( 28531, [ 'c_lessequals'( X, 'c_HOL_Ouminus__class_Ouminus'( Y,
% 2.78/3.19 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 2.78/3.19 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_RealDef_Oreal' ),
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 2.78/3.19 ] )
% 2.78/3.19 , clause( 28532, [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 2.78/3.19 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 2.78/3.19 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y,
% 2.78/3.19 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ),
% 2.78/3.19 'tc_RealDef_Oreal' ) ) ] )
% 2.78/3.19 , clause( 28533, [ ~(
% 2.78/3.19 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 2.78/3.19 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 2.78/3.19 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 2.78/3.19 ) ] )
% 2.78/3.19 , clause( 28534, [ ~(
% 2.78/3.19 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 2.78/3.19 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'(
% 2.78/3.19 Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ) ) ] )
% 2.78/3.19 , clause( 28535, [ ~(
% 2.78/3.19 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 2.78/3.19 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 2.78/3.19 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 2.78/3.19 ) ] )
% 2.78/3.19 , clause( 28536, [ ~(
% 2.78/3.19 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ),
% 2.78/3.19 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'(
% 2.78/3.19 T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ) ) ] )
% 2.78/3.19 , clause( 28537, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X
% 2.78/3.19 ) ), 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 2.78/3.19 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 2.78/3.19 ) ] )
% 2.78/3.19 , clause( 28538, [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X
% 2.78/3.19 ) ), 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 2.78/3.19 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 2.78/3.19 ) ] )
% 2.78/3.19 , clause( 28539, [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 2.78/3.19 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'( X, Z,
% 2.78/3.19 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, Z,
% 2.78/3.19 'tc_RealDef_Oreal' ) ) ] )
% 2.78/3.19 , clause( 28540, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 2.78/3.19 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 2.78/3.19 ), =( Z, Y ) ] )
% 2.78/3.19 , clause( 28541, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 2.78/3.19 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 2.78/3.19 ) ] )
% 2.78/3.19 , clause( 28542, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 2.78/3.19 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 2.78/3.19 ) ] )
% 2.78/3.19 , clause( 28543, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 2.78/3.19 'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Z, Y ),
% 2.78/3.19 'c_HOL_Oord__class_Oless'( Z, Y, X ) ] )
% 2.78/3.19 , clause( 28544, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~(
% 2.78/3.19 'c_lessequals'( Y, Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ] )
% 2.78/3.19 , clause( 28545, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~(
% 2.78/3.19 'c_lessequals'( Z, Y, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 2.78/3.19 , clause( 28546, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 2.78/3.19 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 2.78/3.19 ), =( Z, Y ) ] )
% 2.78/3.19 , clause( 28547, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~(
% 2.78/3.19 'c_lessequals'( Z, Y, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 2.78/3.19 , clause( 28548, [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_RealDef_Oreal' )
% 2.78/3.19 ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ] )
% 2.78/3.19 , clause( 28549, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 2.78/3.19 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 2.78/3.19 , X ) ) ), =( Y, Z ) ] )
% 2.78/3.19 , clause( 28550, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 2.78/3.19 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 2.78/3.19 , X ) ) ), =( Y, Z ) ] )
% 2.78/3.19 , clause( 28551, [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 2.78/3.19 'tc_RealDef_Oreal' ) ) ), ~( 'c_HOL_Oord__class_Oless'(
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 2.78/3.19 ) ] )
% 2.78/3.19 , clause( 28552, [ ~( 'class_OrderedGroup_Olordered__ab__group__add__abs'(
% 2.78/3.19 X ) ), 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 2.78/3.19 'c_HOL_Oabs__class_Oabs'( T, X ), X ), X ), ~( 'c_lessequals'(
% 2.78/3.19 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ) ) ] )
% 2.78/3.19 , clause( 28553, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 2.78/3.19 ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 2.78/3.19 , clause( 28554, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 2.78/3.19 ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 2.78/3.19 , clause( 28555, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 2.78/3.19 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 2.78/3.19 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 2.78/3.19 Z, Y, X ) ) ] )
% 2.78/3.19 , clause( 28556, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 2.78/3.19 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 2.78/3.19 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 2.78/3.19 , X ), X ) ) ] )
% 2.78/3.19 , clause( 28557, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 2.78/3.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 2.78/3.19 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 2.78/3.19 ) ] )
% 2.78/3.19 , clause( 28558, [ =( 'c_Transcendental_Otan'(
% 2.78/3.19 'c_Transcendental_Osko__Transcendental__Xtan__total__pi4__1__1'( X ) ), X
% 2.78/3.19 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( X,
% 2.78/3.19 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 2.78/3.19 'tc_RealDef_Oreal' ) ) ] )
% 2.78/3.19 , clause( 28559, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 2.78/3.19 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 2.78/3.19 , clause( 28560, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 2.78/3.19 , 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 2.78/3.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 2.78/3.19 , clause( 28561, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 2.78/3.19 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 2.78/3.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 2.78/3.19 , clause( 28562, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 2.78/3.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 2.78/3.19 , clause( 28563, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 2.78/3.19 ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( 'c_lessequals'(
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z,
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.78/3.19 , clause( 28564, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 2.78/3.19 ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( 'c_lessequals'(
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y,
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.78/3.19 , clause( 28565, [ ~( =( 'c_HOL_Oplus__class_Oplus'( X,
% 2.78/3.19 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_RealDef_Oreal' ),
% 2.78/3.19 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) )
% 2.78/3.19 ), =( X, Y ) ] )
% 2.78/3.19 , clause( 28566, [ 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'(
% 2.78/3.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 2.78/3.19 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 2.78/3.19 'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_RealDef_Oreal' ),
% 2.78/3.19 'c_HOL_Ouminus__class_Ouminus'( T, 'tc_RealDef_Oreal' ),
% 2.78/3.19 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 2.78/3.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'(
% 2.78/3.19 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 2.78/3.19 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 2.78/3.19 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'( Y,
% 2.78/3.19 'c_HOL_Ouminus__class_Ouminus'( T, 'tc_RealDef_Oreal' ),
% 2.78/3.19 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 2.78/3.19 'tc_RealDef_Oreal' ) ] )
% 2.78/3.19 , clause( 28567, [ =( 'c_Transcendental_Osin'( 'c_HOL_Ominus__class_Ominus'(
% 2.78/3.19 X, 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ),
% 2.78/3.19 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Osin'( X ),
% 2.78/3.19 'tc_RealDef_Oreal' ) ) ] )
% 2.78/3.19 , clause( 28568, [ 'c_lessequals'( 'c_Transcendental_Oarctan'( X ),
% 2.78/3.19 'c_Transcendental_Oarctan'( Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 2.78/3.19 X, Y, 'tc_RealDef_Oreal' ) ) ] )
% 2.78/3.19 , clause( 28569, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 2.78/3.19 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 2.78/3.19 Y, Z, X ), T, X ), 'c_HOL_Oplus__class_Oplus'(
% 2.78/3.19 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X ), X ), ~( 'c_lessequals'(
% 2.78/3.19 T, 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 2.78/3.19 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z, X ), W, X ), X ) ) ] )
% 2.78/3.19 , clause( 28570, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 2.78/3.19 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'(
% 2.78/3.19 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U
% 2.78/3.19 , X ), W, X ), X ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'(
% 2.78/3.19 'c_HOL_Otimes__class_Otimes'( T, U, X ), Y, X ),
% 2.78/3.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, U, X ), W, X
% 2.78/3.19 ), X ) ) ] )
% 2.78/3.19 , clause( 28571, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 2.78/3.19 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 2.78/3.19 Y, Z, X ), T, X ), 'c_HOL_Oplus__class_Oplus'(
% 2.78/3.19 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X ), X ), ~( 'c_lessequals'(
% 2.78/3.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 2.78/3.19 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), W, X ) ) ] )
% 2.78/3.19 , clause( 28572, [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 2.78/3.19 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 2.78/3.19 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ), U, X ), W, X ), ~(
% 2.78/3.19 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 2.78/3.19 Y, T, X ), U, X ), 'c_HOL_Oplus__class_Oplus'(
% 2.78/3.19 'c_HOL_Otimes__class_Otimes'( Z, T, X ), W, X ), X ) ) ] )
% 2.78/3.19 , clause( 28573, [ ~(
% 2.78/3.19 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), ~(
% 2.78/3.19 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 2.78/3.19 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z, X )
% 2.78/3.19 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ] )
% 2.78/3.19 , clause( 28574, [ ~(
% 2.78/3.19 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), ~(
% 2.78/3.19 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 2.78/3.19 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 2.78/3.19 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 2.78/3.19 , clause( 28575, [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 2.78/3.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 2.78/3.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 2.78/3.19 'c_HOL_Ominus__class_Ominus'( T, Y, X ), Z, X ), U, X ), X ),
% 2.78/3.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 2.78/3.19 ) ) ] )
% 2.78/3.19 , clause( 28576, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 2.78/3.19 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 2.78/3.19 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 2.78/3.19 , X ), X ) ) ] )
% 2.78/3.19 , clause( 28577, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 2.78/3.19 , 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 2.78/3.19 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_lessequals'( Z, Y, X )
% 2.78/3.19 ) ] )
% 2.78/3.19 , clause( 28578, [ =( 'c_Transcendental_Otan'( 'c_Transcendental_Oarctan'(
% 2.78/3.19 X ) ), X ) ] )
% 2.78/3.19 , clause( 28579, [ =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'(
% 2.78/3.19 X, 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_RealDef_Oreal' ),
% 2.78/3.19 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Oabs__class_Oabs'(
% 2.78/3.19 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( X,
% 2.78/3.19 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ] )
% 2.78/3.19 , clause( 28580, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 2.78/3.19 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 2.78/3.19 , clause( 28581, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 2.78/3.19 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 2.78/3.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 2.78/3.19 , clause( 28582, [ =( 'c_Transcendental_Oarctan'(
% 2.78/3.19 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ) ),
% 2.78/3.19 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Oarctan'( X ),
% 2.78/3.19 'tc_RealDef_Oreal' ) ) ] )
% 2.78/3.19 , clause( 28583, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 2.78/3.19 X ) ), 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'(
% 2.78/3.19 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 2.78/3.19 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ), 'c_HOL_Oabs__class_Oabs'(
% 2.78/3.19 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), X ) ] )
% 2.78/3.19 , clause( 28584, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 2.78/3.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), Z, X
% 2.78/3.19 ), Y ) ] )
% 2.78/3.19 , clause( 28585, [ =( X, 'c_HOL_Oplus__class_Oplus'(
% 2.78/3.19 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_RealDef_Oreal' ), Y,
% 2.78/3.19 'tc_RealDef_Oreal' ) ) ] )
% 2.78/3.19 , clause( 28586, [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 2.78/3.19 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 2.78/3.19 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 2.78/3.19 , 'tc_RealDef_Oreal' ) ) ] )
% 2.78/3.19 , clause( 28587, [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ),
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 2.78/3.19 ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 2.78/3.19 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ] )
% 2.78/3.19 , clause( 28588, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 2.78/3.19 ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 2.78/3.19 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 2.78/3.19 )
% 2.78/3.19 , clause( 28589, [ ~( 'class_Orderings_Oorder'( X ) ),
% 2.78/3.19 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 2.78/3.19 , X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ] )
% 2.78/3.19 , clause( 28590, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 2.78/3.19 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( T, Z
% 2.78/3.19 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 2.78/3.19 , clause( 28591, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 2.78/3.19 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 2.78/3.19 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 2.78/3.19 ) ) ] )
% 2.78/3.19 , clause( 28592, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 2.78/3.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 2.78/3.19 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 2.78/3.19 ) ) ] )
% 2.78/3.19 , clause( 28593, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 2.78/3.19 =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ),
% 2.78/3.19 X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 2.78/3.19 , X ) ) ] )
% 2.78/3.19 , clause( 28594, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 2.78/3.19 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 2.78/3.19 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 2.78/3.19 ) ) ] )
% 2.78/3.19 , clause( 28595, [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =(
% 2.78/3.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 2.78/3.19 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 2.78/3.19 ) ) ] )
% 2.78/3.19 , clause( 28596, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 2.78/3.19 =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ),
% 2.78/3.19 X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 2.78/3.19 , X ) ) ] )
% 2.78/3.19 , clause( 28597, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 2.78/3.19 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T,
% 2.78/3.19 X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z
% 2.78/3.19 , X ) ) ] )
% 2.78/3.19 , clause( 28598, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 2.78/3.19 =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ),
% 2.78/3.19 X ), 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X )
% 2.78/3.19 , X ) ) ] )
% 2.78/3.19 , clause( 28599, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 2.78/3.19 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T,
% 2.78/3.19 X ), 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X )
% 2.78/3.19 , X ) ) ] )
% 2.78/3.19 , clause( 28600, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.78/3.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 2.78/3.19 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 2.78/3.19 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 2.78/3.19 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 2.78/3.19 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 2.78/3.19 ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 2.78/3.19 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ), ~( 'c_lessequals'(
% 2.78/3.19 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 2.78/3.19 ), X ), Z, X ) ) ] )
% 2.78/3.19 , clause( 28601, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.78/3.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 2.78/3.19 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 2.78/3.19 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 2.78/3.19 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 2.78/3.19 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 2.78/3.19 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 2.78/3.19 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~(
% 2.78/3.19 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'(
% 2.78/3.19 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ] )
% 2.78/3.19 , clause( 28602, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.78/3.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 2.78/3.19 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 2.78/3.19 Y, 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), T, X ), ~(
% 2.78/3.19 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 2.78/3.19 ), X ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T,
% 2.78/3.19 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ] )
% 2.78/3.19 , clause( 28603, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.78/3.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 2.78/3.19 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 2.78/3.19 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 2.78/3.19 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 2.78/3.19 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 2.78/3.19 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T,
% 2.78/3.19 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ),
% 2.78/3.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 2.78/3.19 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ] )
% 2.78/3.19 , clause( 28604, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.78/3.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 2.78/3.19 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 2.78/3.19 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 2.78/3.19 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 2.78/3.19 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 2.78/3.19 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 2.78/3.19 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'( Z,
% 2.78/3.19 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( T
% 2.78/3.19 , X ), X ), X ) ) ] )
% 2.78/3.19 , clause( 28605, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.78/3.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 2.78/3.19 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 2.78/3.19 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 2.78/3.19 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 2.78/3.19 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 2.78/3.19 ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 2.78/3.19 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ),
% 2.78/3.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 2.78/3.19 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ] )
% 2.78/3.19 , clause( 28606, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.78/3.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 2.78/3.19 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 2.78/3.19 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 2.78/3.19 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 2.78/3.19 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 2.78/3.19 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'(
% 2.78/3.19 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ),
% 2.78/3.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ] )
% 2.78/3.19 , clause( 28607, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.78/3.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 2.78/3.19 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 2.78/3.19 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 2.78/3.19 , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_lessequals'(
% 2.78/3.19 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 2.78/3.19 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ] )
% 2.78/3.19 , clause( 28608, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.78/3.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 2.78/3.19 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 2.78/3.19 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 2.78/3.19 , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 2.78/3.19 , X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T,
% 2.78/3.19 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ),
% 2.78/3.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 2.78/3.19 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ] )
% 2.78/3.19 , clause( 28609, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.78/3.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 2.78/3.19 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 2.78/3.19 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 2.78/3.19 , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 2.78/3.19 ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 2.78/3.19 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ),
% 2.78/3.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 2.78/3.19 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ] )
% 2.78/3.19 , clause( 28610, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.78/3.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 2.78/3.19 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 2.78/3.19 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 2.78/3.19 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 2.78/3.19 ), X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 2.78/3.19 , X ), ~( 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'(
% 2.78/3.19 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ] )
% 2.78/3.19 , clause( 28611, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.78/3.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 2.78/3.19 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 2.78/3.19 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 2.78/3.19 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 2.78/3.19 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 2.78/3.19 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ),
% 2.78/3.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ] )
% 2.78/3.19 , clause( 28612, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 2.78/3.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 2.78/3.19 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 2.78/3.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Z, X ) ), ~(
% 2.78/3.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ] )
% 2.78/3.19 , clause( 28613, [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 2.78/3.19 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 2.78/3.19 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'( X ), X ), Y, X
% 2.78/3.19 ) ) ] )
% 2.78/3.19 , clause( 28614, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 2.78/3.19 =( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 2.78/3.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 2.78/3.19 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ] )
% 2.78/3.19 , clause( 28615, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 2.78/3.19 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z
% 2.78/3.19 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y,
% 2.78/3.19 'c_HOL_Oone__class_Oone'( X ), X ), Z, X ) ) ] )
% 2.78/3.19 , clause( 28616, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 2.78/3.19 =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 2.78/3.19 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Z,
% 2.78/3.19 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ] )
% 2.78/3.19 , clause( 28617, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.78/3.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 2.78/3.19 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 2.78/3.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 2.78/3.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 2.78/3.19 , clause( 28618, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.78/3.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 2.78/3.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 2.78/3.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 2.78/3.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 2.78/3.19 , clause( 28619, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.78/3.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 2.78/3.19 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 2.78/3.19 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 2.78/3.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 2.78/3.19 , clause( 28620, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.78/3.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 2.78/3.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 2.78/3.19 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 2.78/3.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 2.78/3.19 , clause( 28621, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.78/3.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 2.78/3.19 ), X ) ) ] )
% 2.78/3.19 , clause( 28622, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.78/3.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 2.78/3.19 ), X ) ) ] )
% 2.78/3.19 , clause( 28623, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.78/3.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 2.78/3.19 ), X ) ) ] )
% 2.78/3.19 , clause( 28624, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.78/3.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 2.78/3.19 ), X ) ) ] )
% 2.78/3.19 , clause( 28625, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 2.78/3.19 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 2.78/3.19 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 2.78/3.19 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ), =( Z,
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.78/3.19 , clause( 28626, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.78/3.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 2.78/3.19 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 2.78/3.19 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 2.78/3.19 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 2.78/3.19 , clause( 28627, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.78/3.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 2.78/3.19 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 2.78/3.19 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 2.78/3.19 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 2.78/3.19 , clause( 28628, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.78/3.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 2.78/3.19 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 2.78/3.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 2.78/3.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 2.78/3.19 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ] )
% 2.78/3.19 , clause( 28629, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.78/3.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 2.78/3.19 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 2.78/3.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 2.78/3.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 2.78/3.19 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ] )
% 2.78/3.19 , clause( 28630, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.78/3.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 2.78/3.19 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 2.78/3.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 2.78/3.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 2.78/3.19 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ] )
% 2.78/3.19 , clause( 28631, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.78/3.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 2.78/3.19 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 2.78/3.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 2.78/3.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 2.78/3.19 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ] )
% 2.78/3.19 , clause( 28632, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.78/3.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 2.78/3.19 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 2.78/3.19 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'(
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 2.78/3.19 ] )
% 2.78/3.19 , clause( 28633, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.78/3.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 2.78/3.19 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 2.78/3.19 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'( Z,
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 2.78/3.19 )
% 2.78/3.19 , clause( 28634, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.78/3.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 2.78/3.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 2.78/3.19 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 2.78/3.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 2.78/3.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y
% 2.78/3.19 , X ) ) ] )
% 2.78/3.19 , clause( 28635, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.78/3.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 2.78/3.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 2.78/3.19 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 2.78/3.19 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 2.78/3.19 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ] )
% 2.78/3.19 , clause( 28636, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.78/3.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 2.78/3.19 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 2.78/3.19 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 2.78/3.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 2.78/3.19 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 2.78/3.19 , X ) ) ] )
% 2.78/3.19 , clause( 28637, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.78/3.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 2.78/3.19 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 2.78/3.19 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 2.78/3.19 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 2.78/3.19 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ] )
% 2.78/3.19 , clause( 28638, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 2.78/3.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 2.78/3.19 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 2.78/3.19 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 2.78/3.19 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 2.78/3.19 , clause( 28639, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 2.78/3.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 2.78/3.19 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 2.78/3.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 2.78/3.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 2.78/3.19 , clause( 28640, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.78/3.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 2.78/3.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 2.78/3.19 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 2.78/3.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 2.78/3.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 2.78/3.19 , clause( 28641, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.78/3.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 2.78/3.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 2.78/3.19 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 2.78/3.19 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 2.78/3.19 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 2.78/3.19 , clause( 28642, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 2.78/3.19 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 2.78/3.19 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 2.78/3.19 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ), =( Z,
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.78/3.19 , clause( 28643, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 2.78/3.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 2.78/3.19 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 2.78/3.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 2.78/3.19 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 2.78/3.19 , clause( 28644, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 2.78/3.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 2.78/3.19 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 2.78/3.19 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 2.78/3.19 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ] )
% 2.78/3.19 , clause( 28645, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.78/3.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 2.78/3.19 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 2.78/3.19 ), X ) ) ] )
% 2.78/3.19 , clause( 28646, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.78/3.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 2.78/3.19 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 2.78/3.19 ), X ) ) ] )
% 2.78/3.19 , clause( 28647, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.78/3.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( Z,
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 2.78/3.19 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 2.78/3.19 ), X ) ) ] )
% 2.78/3.19 , clause( 28648, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.78/3.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( Y,
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 2.78/3.19 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 2.78/3.19 ), X ) ) ] )
% 2.78/3.19 , clause( 28649, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.78/3.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 2.78/3.19 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 2.78/3.19 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 2.78/3.19 , clause( 28650, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.78/3.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 2.78/3.19 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 2.78/3.19 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 2.78/3.19 , clause( 28651, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 2.78/3.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 2.78/3.19 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 2.78/3.19 , clause( 28652, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 2.78/3.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 2.78/3.19 , clause( 28653, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.78/3.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 2.78/3.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 2.78/3.19 , clause( 28654, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.78/3.19 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 2.78/3.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 2.78/3.19 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 2.78/3.19 , clause( 28655, [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 2.78/3.19 'c_HOL_Oplus__class_Oplus'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 2.78/3.19 'c_Int_OPls', X ), X ), Y ) ] )
% 2.78/3.19 , clause( 28656, [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 2.78/3.19 'c_HOL_Oplus__class_Oplus'( 'c_Int_Onumber__class_Onumber__of'(
% 2.78/3.19 'c_Int_OPls', X ), Y, X ), Y ) ] )
% 2.78/3.19 , clause( 28657, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 2.78/3.19 X ) ), =( 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~(
% 2.78/3.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 2.78/3.19 , clause( 28658, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 2.78/3.19 X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 2.78/3.19 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 2.78/3.19 ] )
% 2.78/3.19 , clause( 28659, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 2.78/3.19 X ) ), =( 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_lessequals'(
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 2.78/3.19 , clause( 28660, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 2.78/3.19 X ) ), 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'(
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 2.78/3.19 ) ] )
% 2.78/3.19 , clause( 28661, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 2.78/3.19 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 2.78/3.19 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 2.78/3.19 X ) ) ] )
% 2.78/3.19 , clause( 28662, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 2.78/3.19 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 2.78/3.19 , clause( 28663, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 2.78/3.19 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 2.78/3.19 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ] )
% 2.78/3.19 , clause( 28664, [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =(
% 2.78/3.19 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( X ), X ) ] )
% 2.78/3.19 , clause( 28665, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 2.78/3.19 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 2.78/3.19 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ) ]
% 2.78/3.19 )
% 2.78/3.19 , clause( 28666, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 2.78/3.19 X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 2.78/3.19 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ] )
% 2.78/3.19 , clause( 28667, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 2.78/3.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 2.78/3.19 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 2.78/3.19 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 2.78/3.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Z, X ), U, X ) ),
% 2.78/3.19 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), T, X ) )
% 2.78/3.19 ] )
% 2.78/3.19 , clause( 28668, [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ),
% 2.78/3.19 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y
% 2.78/3.19 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y
% 2.78/3.19 , X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ] )
% 2.78/3.19 , clause( 28669, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ),
% 2.78/3.19 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Z,
% 2.78/3.19 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 2.78/3.19 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 2.78/3.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 2.78/3.19 ), Z, 'tc_RealDef_Oreal' ) ) ] )
% 2.78/3.19 , clause( 28670, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 2.78/3.19 X, Y, 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Z, Y,
% 2.78/3.19 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 2.78/3.19 X, Z, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 2.78/3.19 ) ] )
% 2.78/3.19 , clause( 28671, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 2.78/3.19 X, Y, 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Z,
% 2.78/3.19 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 2.78/3.19 Y, Z, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 2.78/3.19 ) ] )
% 2.78/3.19 , clause( 28672, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 2.78/3.19 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Y,
% 2.78/3.19 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 2.78/3.19 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 2.78/3.19 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ] )
% 2.78/3.19 , clause( 28673, [ ~( =( 'c_HOL_Oplus__class_Oplus'(
% 2.78/3.19 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 2.78/3.19 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 2.78/3.19 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) )
% 2.78/3.19 ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ] )
% 2.78/3.19 , clause( 28674, [ ~( =( 'c_HOL_Oplus__class_Oplus'(
% 2.78/3.19 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 2.78/3.19 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 2.78/3.19 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) )
% 2.78/3.19 ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ] )
% 2.78/3.19 , clause( 28675, [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, X,
% 2.78/3.19 'tc_RealDef_Oreal' ), 'c_HOL_Ouminus__class_Ouminus'(
% 2.78/3.19 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 2.78/3.19 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 2.78/3.19 'tc_RealDef_Oreal' ) ) ] )
% 2.78/3.19 , clause( 28676, [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, X,
% 2.78/3.19 'tc_RealDef_Oreal' ), 'c_HOL_Ouminus__class_Ouminus'(
% 2.78/3.19 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 2.78/3.19 'tc_RealDef_Oreal' ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 2.78/3.19 'tc_RealDef_Oreal' ) ) ] )
% 2.78/3.19 , clause( 28677, [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 2.78/3.19 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'(
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 2.78/3.19 'tc_RealDef_Oreal' ) ) ] )
% 2.78/3.19 , clause( 28678, [ =( 'c_HOL_Oplus__class_Oplus'(
% 2.78/3.19 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'(
% 2.78/3.19 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 2.78/3.19 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'(
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 2.78/3.19 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) )
% 2.78/3.19 ] )
% 2.78/3.19 , clause( 28679, [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) )
% 2.78/3.19 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 2.78/3.19 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, X,
% 2.78/3.19 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 2.78/3.19 , clause( 28680, [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 2.78/3.19 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), 'c_lessequals'( Y,
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 2.78/3.19 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 2.78/3.19 'c_HOL_Oinverse__class_Odivide'( Y, X, 'tc_RealDef_Oreal' ),
% 2.78/3.19 'tc_RealDef_Oreal' ) ) ] )
% 2.78/3.19 , clause( 28681, [ 'c_lessequals'( X, 'c_HOL_Ozero__class_Ozero'(
% 2.78/3.19 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_lessequals'(
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 2.78/3.19 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 2.78/3.19 'c_HOL_Oinverse__class_Odivide'( Y, X, 'tc_RealDef_Oreal' ),
% 2.78/3.19 'tc_RealDef_Oreal' ) ) ] )
% 2.78/3.19 , clause( 28682, [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 2.78/3.19 'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Odivide'( X, Y,
% 2.78/3.19 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 2.78/3.19 ), ~( 'c_lessequals'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 2.78/3.19 ), 'tc_RealDef_Oreal' ) ) ] )
% 2.78/3.19 , clause( 28683, [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 2.78/3.19 'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Odivide'( X, Y,
% 2.78/3.19 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y,
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 2.78/3.19 , ~( 'c_lessequals'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 2.78/3.19 , 'tc_RealDef_Oreal' ) ) ] )
% 2.78/3.19 , clause( 28684, [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 2.78/3.19 'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Odivide'( X, Y,
% 2.78/3.19 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 2.78/3.19 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 2.78/3.19 Y, 'tc_RealDef_Oreal' ) ) ] )
% 2.78/3.19 , clause( 28685, [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 2.78/3.19 'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Odivide'( X, Y,
% 2.78/3.19 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y,
% 2.78/3.19 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 2.78/3.19 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y
% 2.78/3.19 , 'tc_RealDef_Oreal' ) ) ] )
% 2.78/3.19 , clause( 28686, [ 'c_lessequals'( 'c_Transcendental_Osin'( X ),
% 2.78/3.19 'c_Transcendental_Osin'( Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y
% 2.78/3.19 , 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 2.78/3.19 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 2.78/3.19 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 2.78/3.19 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ),
% 2.78/3.19 ~( 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'(
% 2.78/3.19 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 2.78/3.19 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 2.78/3.19 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 2.78/3.19 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ] )
% 2.78/3.19 , clause( 28687, [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Otan'( X )
% 2.78/3.19 , 'c_Transcendental_Otan'( Y ), 'tc_RealDef_Oreal' ), ~(
% 2.78/3.19 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 2.78/3.19 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 2.78/3.19 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 2.78/3.19 ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 2.78/3.19 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 2.78/3.19 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 2.78/3.19 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 2.78/3.19 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 2.78/3.19 ), 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ] )
% 2.78/3.19 , clause( 28688, [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Otan'( X )
% 2.78/3.19 , 'c_Transcendental_Otan'( Y ), 'tc_RealDef_Oreal' ), ~(
% 2.78/3.19 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ), ~(
% 2.78/3.19 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 2.78/3.19 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 2.78/3.19 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 2.78/3.19 ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 2.78/3.19 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 2.78/3.19 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 2.78/3.19 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 2.78/3.19 ), 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ), ~(
% 2.78/3.19 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oinverse__class_Odivide'(
% 2.78/3.19 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 2.78/3.19 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 2.78/3.19 ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 2.78/3.19 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 2.78/3.19 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 2.78/3.19 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 2.78/3.19 ), 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ] )
% 2.78/3.19 , clause( 28689, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ),
% 2.78/3.19 ~( 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Otan'( X ),
% 2.78/3.19 'c_Transcendental_Otan'( Y ), 'tc_RealDef_Oreal' ) ), ~(
% 2.78/3.19 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 2.78/3.19 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 2.78/3.19 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 2.78/3.19 ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 2.78/3.19 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 2.78/3.19 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 2.78/3.19 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 2.85/3.19 ), 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ), ~(
% 2.85/3.19 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oinverse__class_Odivide'(
% 2.85/3.19 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 2.85/3.19 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 2.85/3.19 ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 2.85/3.19 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 2.85/3.19 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 2.85/3.19 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 2.85/3.19 ), 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ] )
% 2.85/3.19 , clause( 28690, [ 'c_HOL_Oord__class_Oless'(
% 2.85/3.19 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 2.85/3.19 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 2.85/3.19 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 2.85/3.19 ), 'tc_RealDef_Oreal' ), 'c_Transcendental_Oarctan'( X ),
% 2.85/3.19 'tc_RealDef_Oreal' ) ] )
% 2.85/3.19 , clause( 28691, [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, X,
% 2.85/3.19 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) )
% 2.85/3.19 , =( X, 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'(
% 2.85/3.19 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), =( X,
% 2.85/3.19 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ] )
% 2.85/3.19 , clause( 28692, [ =( 'c_HOL_Otimes__class_Otimes'(
% 2.85/3.19 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'(
% 2.85/3.19 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 2.85/3.19 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'(
% 2.85/3.19 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 2.85/3.19 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ] )
% 2.85/3.19 , clause( 28693, [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 2.85/3.19 'tc_RealDef_Oreal' ), 'c_RealDef_Oreal'( X, 'tc_nat' ),
% 2.85/3.19 'tc_RealDef_Oreal' ) ] )
% 2.85/3.19 , clause( 28694, [ ~( 'c_HOL_Oord__class_Oless'( 'c_RealDef_Oreal'( X,
% 2.85/3.19 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 2.85/3.19 'tc_RealDef_Oreal' ) ) ] )
% 2.85/3.19 , clause( 28695, [ =( 'c_Transcendental_Osin'( 'c_Transcendental_Opi' ),
% 2.85/3.19 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ] )
% 2.85/3.19 , clause( 28696, [ ~( 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Opi',
% 2.85/3.19 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 2.85/3.19 ] )
% 2.85/3.19 , clause( 28697, [ =( 'c_Transcendental_Otan'( 'c_Transcendental_Opi' ),
% 2.85/3.19 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ] )
% 2.85/3.19 , clause( 28698, [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 2.85/3.19 'tc_RealDef_Oreal' ), 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ] )
% 2.85/3.19 , clause( 28699, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 2.85/3.19 'tc_RealDef_Oreal' ), 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ] )
% 2.85/3.19 , clause( 28700, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 2.85/3.19 X ) ), 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'(
% 2.85/3.19 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 2.85/3.19 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 2.85/3.19 X ) ] )
% 2.85/3.19 , clause( 28701, [ 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'(
% 2.85/3.19 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 2.85/3.19 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), Z,
% 2.85/3.19 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y,
% 2.85/3.19 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' ) ) ] )
% 2.85/3.19 , clause( 28702, [ =( 'c_Transcendental_Ocos'( 'c_HOL_Oplus__class_Oplus'(
% 2.85/3.19 X, Y, 'tc_RealDef_Oreal' ) ), 'c_HOL_Ominus__class_Ominus'(
% 2.85/3.19 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( X ),
% 2.85/3.19 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ),
% 2.85/3.19 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Osin'( X ),
% 2.85/3.19 'c_Transcendental_Osin'( Y ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 2.85/3.19 ) ] )
% 2.85/3.19 , clause( 28703, [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'(
% 2.85/3.19 Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ] )
% 2.85/3.19 , clause( 28704, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 2.85/3.19 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_lessequals'( Z, Y, X ) ] )
% 2.85/3.19 , clause( 28705, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 2.85/3.19 Y, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 2.85/3.19 , clause( 28706, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 2.85/3.19 'c_HOL_Oord__class_Oless'( Y, Y, X ), 'c_lessequals'( Y, Y, X ) ] )
% 2.85/3.19 , clause( 28707, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 2.85/3.19 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 2.85/3.19 )
% 2.85/3.19 , clause( 28708, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y
% 2.85/3.19 , Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ] )
% 2.85/3.19 , clause( 28709, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 2.85/3.19 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_lessequals'( Z, Y, X ) ] )
% 2.85/3.19 , clause( 28710, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'(
% 2.85/3.19 Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ] )
% 2.85/3.19 , clause( 28711, [ =( 'c_Transcendental_Osin'( 'c_HOL_Oplus__class_Oplus'(
% 2.85/3.19 'c_Transcendental_Opi', X, 'tc_RealDef_Oreal' ) ),
% 2.85/3.19 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Osin'( X ),
% 2.85/3.19 'tc_RealDef_Oreal' ) ) ] )
% 2.85/3.19 , clause( 28712, [ =( 'c_Transcendental_Osin'( 'c_HOL_Oplus__class_Oplus'(
% 2.85/3.19 X, 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ),
% 2.85/3.19 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Osin'( X ),
% 2.85/3.19 'tc_RealDef_Oreal' ) ) ] )
% 2.85/3.19 , clause( 28713, [ ~(
% 2.85/3.19 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) ), ~(
% 2.85/3.19 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_HOL_Oord__class_Oless'(
% 2.85/3.19 Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~(
% 2.85/3.19 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 2.85/3.19 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 2.85/3.19 , clause( 28714, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 2.85/3.19 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 2.85/3.19 , T, X ) ) ), =( Z, T ) ] )
% 2.85/3.19 , clause( 28715, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 2.85/3.19 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 2.85/3.19 , T, X ) ) ), =( Y, Z ) ] )
% 2.85/3.19 , clause( 28716, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 2.85/3.19 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 2.85/3.19 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 2.85/3.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 2.85/3.19 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 2.85/3.19 , U, X ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'(
% 2.85/3.19 Y, T, X ), U, X ), X ), 'c_HOL_Otimes__class_Otimes'( T,
% 2.85/3.19 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ) ) ] )
% 2.85/3.19 , clause( 28717, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 2.85/3.19 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~(
% 2.85/3.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 2.85/3.19 , 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ] )
% 2.85/3.19 , clause( 28718, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 2.85/3.19 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~(
% 2.85/3.19 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 2.85/3.19 , X, 'tc_RealDef_Oreal' ) ) ] )
% 2.85/3.19 , clause( 28719, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 2.85/3.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 2.85/3.19 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.85/3.19 , clause( 28720, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 2.85/3.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 2.85/3.19 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.85/3.19 , clause( 28721, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 2.85/3.19 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 2.85/3.19 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.85/3.19 , clause( 28722, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 2.85/3.19 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 2.85/3.19 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.85/3.19 , clause( 28723, [ =( 'c_HOL_Oplus__class_Oplus'( X,
% 2.85/3.19 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ),
% 2.85/3.19 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) )
% 2.85/3.19 ] )
% 2.85/3.19 , clause( 28724, [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X
% 2.85/3.19 ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 2.85/3.19 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 2.85/3.20 , clause( 28725, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 2.85/3.20 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 2.85/3.20 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 2.85/3.20 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 2.85/3.20 , U, X ), X ) ) ] )
% 2.85/3.20 , clause( 28726, [ 'c_lessequals'( X, 'c_HOL_Ozero__class_Ozero'(
% 2.85/3.20 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 2.85/3.20 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 2.85/3.20 , 'tc_RealDef_Oreal' ) ) ] )
% 2.85/3.20 , clause( 28727, [ 'c_lessequals'( 'c_NthRoot_Osqrt'( X ),
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 2.85/3.20 ~( 'c_lessequals'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 2.85/3.20 'tc_RealDef_Oreal' ) ) ] )
% 2.85/3.20 , clause( 28728, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 2.85/3.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X
% 2.85/3.20 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 2.85/3.20 'c_HOL_Ominus__class_Ominus'( T, Y, X ), X ), Z, X ) ) ] )
% 2.85/3.20 , clause( 28729, [ ~( =( 'c_Transcendental_Ocos'( X ),
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ), ~( 'c_lessequals'(
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 2.85/3.20 ), ~( 'c_Parity_Oeven__odd__class_Oeven'(
% 2.85/3.20 'c_Transcendental_Osko__Transcendental__Xcos__zero__lemma__1__1'( X ),
% 2.85/3.20 'tc_nat' ) ) ] )
% 2.85/3.20 , clause( 28730, [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'(
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 2.85/3.20 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 2.85/3.20 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 2.85/3.20 , clause( 28731, [ 'c_lessequals'( X, 'c_NthRoot_Osqrt'(
% 2.85/3.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, X,
% 2.85/3.20 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 2.85/3.20 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), 'tc_RealDef_Oreal' ) ] )
% 2.85/3.20 , clause( 28732, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 2.85/3.20 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 2.85/3.20 , Z ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( T, X ) ) ] )
% 2.85/3.20 , clause( 28733, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ),
% 2.85/3.20 ~( 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'(
% 2.85/3.20 Y ), 'tc_RealDef_Oreal' ) ) ] )
% 2.85/3.20 , clause( 28734, [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ),
% 2.85/3.20 'c_NthRoot_Osqrt'( Y ), 'tc_RealDef_Oreal' ), ~(
% 2.85/3.20 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ) ] )
% 2.85/3.20 , clause( 28735, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 2.85/3.20 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 2.85/3.20 X ), 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ] )
% 2.85/3.20 , clause( 28736, [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 2.85/3.20 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 2.85/3.20 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ),
% 2.85/3.20 'tc_RealDef_Oreal' ) ) ] )
% 2.85/3.20 , clause( 28737, [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 2.85/3.20 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'( X, Y,
% 2.85/3.20 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 2.85/3.20 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ), Y,
% 2.85/3.20 'tc_RealDef_Oreal' ) ) ] )
% 2.85/3.20 , clause( 28738, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 2.85/3.20 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 2.85/3.20 ), Y ) ] )
% 2.85/3.20 , clause( 28739, [ =( X, 'c_HOL_Ominus__class_Ominus'(
% 2.85/3.20 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ), Y,
% 2.85/3.20 'tc_RealDef_Oreal' ) ) ] )
% 2.85/3.20 , clause( 28740, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 2.85/3.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 2.85/3.20 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), T, X ), ~(
% 2.85/3.20 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 2.85/3.20 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 2.85/3.20 , Y, X ) ) ] )
% 2.85/3.20 , clause( 28741, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 2.85/3.20 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 2.85/3.20 ), Y ) ] )
% 2.85/3.20 , clause( 28742, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 2.85/3.20 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 2.85/3.20 ) ) ] )
% 2.85/3.20 , clause( 28743, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 2.85/3.20 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 2.85/3.20 ) ) ] )
% 2.85/3.20 , clause( 28744, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 2.85/3.20 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 2.85/3.20 ), Y ) ] )
% 2.85/3.20 , clause( 28745, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 2.85/3.20 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 2.85/3.20 ), Y ) ] )
% 2.85/3.20 , clause( 28746, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 2.85/3.20 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 2.85/3.20 X ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ) ] )
% 2.85/3.20 , clause( 28747, [ ~(
% 2.85/3.20 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 2.85/3.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 2.85/3.20 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 2.85/3.20 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 2.85/3.20 , clause( 28748, [ ~(
% 2.85/3.20 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 2.85/3.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 2.85/3.20 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 2.85/3.20 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ] )
% 2.85/3.20 , clause( 28749, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 2.85/3.20 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X
% 2.85/3.20 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X )
% 2.85/3.20 , Y, X ) ) ] )
% 2.85/3.20 , clause( 28750, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 2.85/3.20 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X
% 2.85/3.20 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X )
% 2.85/3.20 , Y, X ) ) ] )
% 2.85/3.20 , clause( 28751, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 2.85/3.20 , 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X
% 2.85/3.20 ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X
% 2.85/3.20 ), X ) ) ] )
% 2.85/3.20 , clause( 28752, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 2.85/3.20 , 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X
% 2.85/3.20 ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X
% 2.85/3.20 ), X ) ) ] )
% 2.85/3.20 , clause( 28753, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 2.85/3.20 , 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 2.85/3.20 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ] )
% 2.85/3.20 , clause( 28754, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 2.85/3.20 , 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 2.85/3.20 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ] )
% 2.85/3.20 , clause( 28755, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 2.85/3.20 , 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 2.85/3.20 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 2.85/3.20 , clause( 28756, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) )
% 2.85/3.20 , 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 2.85/3.20 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ] )
% 2.85/3.20 , clause( 28757, [ =( 'c_HOL_Oplus__class_Oplus'(
% 2.85/3.20 'c_Transcendental_Oarctan'( X ), 'c_Transcendental_Oarctan'( Y ),
% 2.85/3.20 'tc_RealDef_Oreal' ), 'c_Transcendental_Oarctan'(
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 2.85/3.20 'tc_RealDef_Oreal' ), 'c_HOL_Ominus__class_Ominus'(
% 2.85/3.20 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 2.85/3.20 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ), ~(
% 2.85/3.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y,
% 2.85/3.20 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 2.85/3.20 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( X,
% 2.85/3.20 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 2.85/3.20 'tc_RealDef_Oreal' ) ) ] )
% 2.85/3.20 , clause( 28758, [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) )
% 2.85/3.20 , =( 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X )
% 2.85/3.20 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.85/3.20 , clause( 28759, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 2.85/3.20 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.85/3.20 , clause( 28760, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'(
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 2.85/3.20 , clause( 28761, [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) )
% 2.85/3.20 , ~( =( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y ) ), =( Y,
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.85/3.20 , clause( 28762, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 2.85/3.20 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 2.85/3.20 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.85/3.20 , clause( 28763, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 2.85/3.20 , ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 2.85/3.20 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.85/3.20 , clause( 28764, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 2.85/3.20 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 2.85/3.20 ) ] )
% 2.85/3.20 , clause( 28765, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 2.85/3.20 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 2.85/3.20 ) ] )
% 2.85/3.20 , clause( 28766, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 2.85/3.20 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 2.85/3.20 ) ] )
% 2.85/3.20 , clause( 28767, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 2.85/3.20 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 2.85/3.20 ) ] )
% 2.85/3.20 , clause( 28768, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 2.85/3.20 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y,
% 2.85/3.20 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.85/3.20 , clause( 28769, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 2.85/3.20 'class_Int_Onumber__ring'( X ) ), ~( =( Y, 'c_HOL_Oplus__class_Oplus'( Y
% 2.85/3.20 , Z, X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.85/3.20 , clause( 28770, [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) )
% 2.85/3.20 , =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 2.85/3.20 )
% 2.85/3.20 , clause( 28771, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 2.85/3.20 ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ] )
% 2.85/3.20 , clause( 28772, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 2.85/3.20 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 2.85/3.20 ) ), =( Y, Z ) ] )
% 2.85/3.20 , clause( 28773, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 2.85/3.20 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 2.85/3.20 ) ), =( Y, Z ) ] )
% 2.85/3.20 , clause( 28774, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 2.85/3.20 'class_Int_Onumber__ring'( X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y,
% 2.85/3.20 Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ] )
% 2.85/3.20 , clause( 28775, [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 2.85/3.20 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 2.85/3.20 ] )
% 2.85/3.20 , clause( 28776, [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 2.85/3.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 2.85/3.20 ] )
% 2.85/3.20 , clause( 28777, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 2.85/3.20 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 2.85/3.20 ] )
% 2.85/3.20 , clause( 28778, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 2.85/3.20 'class_Int_Onumber__ring'( X ) ), =( Y, 'c_HOL_Oplus__class_Oplus'( Y,
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 2.85/3.20 , clause( 28779, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 2.85/3.20 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 2.85/3.20 ) ] )
% 2.85/3.20 , clause( 28780, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 2.85/3.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 2.85/3.20 ] )
% 2.85/3.20 , clause( 28781, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 2.85/3.20 =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 2.85/3.20 ) ] )
% 2.85/3.20 , clause( 28782, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 2.85/3.20 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 2.85/3.20 ) ] )
% 2.85/3.20 , clause( 28783, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 2.85/3.20 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 2.85/3.20 , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 2.85/3.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 2.85/3.20 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 2.85/3.20 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 2.85/3.20 )
% 2.85/3.20 , clause( 28784, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 2.85/3.20 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 2.85/3.20 , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 2.85/3.20 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ] )
% 2.85/3.20 , clause( 28785, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 2.85/3.20 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 2.85/3.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), X ) ) ] )
% 2.85/3.20 , clause( 28786, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 2.85/3.20 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 2.85/3.20 , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 2.85/3.20 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 2.85/3.20 , clause( 28787, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 2.85/3.20 ), 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'(
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), X
% 2.85/3.20 ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ] )
% 2.85/3.20 , clause( 28788, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 2.85/3.20 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 2.85/3.20 , Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 2.85/3.20 , clause( 28789, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 2.85/3.20 X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 2.85/3.20 , T, X ), X ) ) ] )
% 2.85/3.20 , clause( 28790, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 2.85/3.20 X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 2.85/3.20 , Z, X ), X ) ) ] )
% 2.85/3.20 , clause( 28791, [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 2.85/3.20 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 2.85/3.20 , T, X ), X ) ) ] )
% 2.85/3.20 , clause( 28792, [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 2.85/3.20 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 2.85/3.20 , Z, X ), X ) ) ] )
% 2.85/3.20 , clause( 28793, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 2.85/3.20 ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 2.85/3.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ) ] )
% 2.85/3.20 , clause( 28794, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 2.85/3.20 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 2.85/3.20 , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 2.85/3.20 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 2.85/3.20 , clause( 28795, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 2.85/3.20 X ) ), 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 2.85/3.20 , T, X ), X ) ) ] )
% 2.85/3.20 , clause( 28796, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 2.85/3.20 X ) ), 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 2.85/3.20 , Z, X ), X ) ) ] )
% 2.85/3.20 , clause( 28797, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 2.85/3.20 ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X
% 2.85/3.20 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 2.85/3.20 ) ) ] )
% 2.85/3.20 , clause( 28798, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 2.85/3.20 ), 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 2.85/3.20 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 2.85/3.20 X ), T, X ) ) ] )
% 2.85/3.20 , clause( 28799, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 2.85/3.20 ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( T, Z, X
% 2.85/3.20 ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 2.85/3.20 ) ) ] )
% 2.85/3.20 , clause( 28800, [ ~( =( 'c_Transcendental_Ocos'(
% 2.85/3.20 'c_Transcendental_Oarctan'( X ) ), 'c_HOL_Ozero__class_Ozero'(
% 2.85/3.20 'tc_RealDef_Oreal' ) ) ) ] )
% 2.85/3.20 , clause( 28801, [ =( 'c_HOL_Ominus__class_Ominus'( hAPP( X, Y ),
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'(
% 2.85/3.20 'c_HOL_Ominus__class_Ominus'( hAPP( X, Z ), hAPP( X, Y ),
% 2.85/3.20 'tc_RealDef_Oreal' ), 'c_HOL_Ominus__class_Ominus'( Z, Y,
% 2.85/3.20 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ),
% 2.85/3.20 'tc_RealDef_Oreal' ), 'c_HOL_Ominus__class_Ominus'( hAPP( X, Z ),
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'(
% 2.85/3.20 'c_HOL_Ominus__class_Ominus'( hAPP( X, Z ), hAPP( X, Y ),
% 2.85/3.20 'tc_RealDef_Oreal' ), 'c_HOL_Ominus__class_Ominus'( Z, Y,
% 2.85/3.20 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' ),
% 2.85/3.20 'tc_RealDef_Oreal' ) ) ] )
% 2.85/3.20 , clause( 28802, [ 'c_lessequals'( 'c_Transcendental_Ocos'( X ),
% 2.85/3.20 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 2.85/3.20 , clause( 28803, [ =( 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ), X
% 2.85/3.20 ), 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 2.85/3.20 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 2.85/3.20 , clause( 28804, [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Otimes__class_Otimes'( X, X
% 2.85/3.20 , 'tc_RealDef_Oreal' ) ), 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal'
% 2.85/3.20 ) ) ] )
% 2.85/3.20 , clause( 28805, [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Otan'( X )
% 2.85/3.20 , 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 2.85/3.20 , ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 2.85/3.20 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 2.85/3.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 2.85/3.20 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Opi',
% 2.85/3.20 'tc_RealDef_Oreal' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 2.85/3.20 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 2.85/3.20 ), X, 'tc_RealDef_Oreal' ) ) ] )
% 2.85/3.20 , clause( 28806, [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Osin'( X )
% 2.85/3.20 , 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 2.85/3.20 , ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 2.85/3.20 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 2.85/3.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 2.85/3.20 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Opi',
% 2.85/3.20 'tc_RealDef_Oreal' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 2.85/3.20 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 2.85/3.20 ), X, 'tc_RealDef_Oreal' ) ) ] )
% 2.85/3.20 , clause( 28807, [ =( 'c_HOL_Ouminus__class_Ouminus'(
% 2.85/3.20 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' ),
% 2.85/3.20 'c_Transcendental_Ocos'( 'c_HOL_Oplus__class_Oplus'( X,
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 2.85/3.20 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 2.85/3.20 'tc_RealDef_Oreal' ) ) ) ] )
% 2.85/3.20 , clause( 28808, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 2.85/3.20 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'(
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 2.85/3.20 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ), 'tc_RealDef_Oreal' ) ] )
% 2.85/3.20 , clause( 28809, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 2.85/3.20 'tc_RealDef_Oreal' ), 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' )
% 2.85/3.20 , ~( 'c_HOL_Oord__class_Oless'( X, 'c_Int_Onumber__class_Onumber__of'(
% 2.85/3.20 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 2.85/3.20 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 2.85/3.20 ) ] )
% 2.85/3.20 , clause( 28810, [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 2.85/3.20 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'(
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 2.85/3.20 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ), 'tc_RealDef_Oreal' ) ] )
% 2.85/3.20 , clause( 28811, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 2.85/3.20 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'(
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 2.85/3.20 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ), 'tc_RealDef_Oreal' ) ] )
% 2.85/3.20 , clause( 28812, [ 'c_lessequals'( X, 'c_HOL_Oinverse__class_Odivide'( Y,
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 2.85/3.20 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 2.85/3.20 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X,
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 2.85/3.20 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 2.85/3.20 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ]
% 2.85/3.20 )
% 2.85/3.20 , clause( 28813, [ 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( X,
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 2.85/3.20 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 2.85/3.20 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ), ~(
% 2.85/3.20 'c_lessequals'( X, 'c_HOL_Oinverse__class_Odivide'( Y,
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 2.85/3.20 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 2.85/3.20 'tc_RealDef_Oreal' ) ) ] )
% 2.85/3.20 , clause( 28814, [ 'c_HOL_Oord__class_Oless'(
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 2.85/3.20 'tc_RealDef_Oreal' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 2.85/3.20 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 2.85/3.20 ), Y, 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 2.85/3.20 'tc_RealDef_Oreal' ) ) ] )
% 2.85/3.20 , clause( 28815, [ 'c_HOL_Oord__class_Oless'( X,
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 2.85/3.20 'tc_RealDef_Oreal' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 2.85/3.20 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 2.85/3.20 ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 2.85/3.20 'tc_RealDef_Oreal' ) ) ] )
% 2.85/3.20 , clause( 28816, [ =( 'c_HOL_Ominus__class_Ominus'(
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 2.85/3.20 'tc_RealDef_Oreal' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 2.85/3.20 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 2.85/3.20 ), X, 'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Odivide'(
% 2.85/3.20 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_RealDef_Oreal' ),
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 2.85/3.20 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ] )
% 2.85/3.20 , clause( 28817, [ =( 'c_HOL_Ominus__class_Ominus'(
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 2.85/3.20 'tc_RealDef_Oreal' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 2.85/3.20 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 2.85/3.20 ), Y, 'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Odivide'(
% 2.85/3.20 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_RealDef_Oreal' ),
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 2.85/3.20 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ] )
% 2.85/3.20 , clause( 28818, [ =( 'c_Transcendental_Otan'(
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 2.85/3.20 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ),
% 2.85/3.20 'c_NthRoot_Osqrt'( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'(
% 2.85/3.20 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ) ) ] )
% 2.85/3.20 , clause( 28819, [ 'c_HOL_Oord__class_Oless'(
% 2.85/3.20 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 2.85/3.20 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 2.85/3.20 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_RealDef_Oreal' ),
% 2.85/3.20 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 2.85/3.20 'c_Transcendental_Osko__Transcendental__Xtan__total__pi4__1__1'( X ),
% 2.85/3.20 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 2.85/3.20 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ),
% 2.85/3.20 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ]
% 2.85/3.20 )
% 2.85/3.20 , clause( 28820, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 2.85/3.20 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X ), ~(
% 2.85/3.20 'c_lessequals'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 2.85/3.20 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 2.85/3.20 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 2.85/3.20 , clause( 28821, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 2.85/3.20 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y, X ), ~(
% 2.85/3.20 'c_lessequals'( Z, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 2.85/3.20 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 2.85/3.20 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 2.85/3.20 , clause( 28822, [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( Y ), X ),
% 2.85/3.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 2.85/3.20 ), X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ] )
% 2.85/3.20 , clause( 28823, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.85/3.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~( 'c_lessequals'( Y,
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ] )
% 2.85/3.20 , clause( 28824, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.85/3.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~( 'c_lessequals'(
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ] )
% 2.85/3.20 , clause( 28825, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.85/3.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 2.85/3.20 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 2.85/3.20 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 2.85/3.20 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, T,
% 2.85/3.20 X ), Z, X ) ) ] )
% 2.85/3.20 , clause( 28826, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.85/3.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 2.85/3.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 2.85/3.20 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z,
% 2.85/3.20 X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 2.85/3.20 Z, X ), X ) ) ] )
% 2.85/3.20 , clause( 28827, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.85/3.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 2.85/3.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 2.85/3.20 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 2.85/3.20 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 2.85/3.20 Z, X ), X ) ) ] )
% 2.85/3.20 , clause( 28828, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.85/3.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 2.85/3.20 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 2.85/3.20 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 2.85/3.20 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 2.85/3.20 X ), Z, X ) ) ] )
% 2.85/3.20 , clause( 28829, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 2.85/3.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 2.85/3.20 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 2.85/3.20 Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 2.85/3.20 X ), Z, X ) ) ] )
% 2.85/3.20 , clause( 28830, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 2.85/3.20 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 2.85/3.20 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 2.85/3.20 X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 2.85/3.20 X ), T, X ) ) ] )
% 2.85/3.20 , clause( 28831, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 2.85/3.20 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 2.85/3.20 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 2.85/3.20 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 2.85/3.20 ) ] )
% 2.85/3.20 , clause( 28832, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.85/3.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 2.85/3.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 2.85/3.20 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 2.85/3.20 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 2.85/3.20 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ] )
% 2.85/3.20 , clause( 28833, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.85/3.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 2.85/3.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 2.85/3.20 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 2.85/3.20 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 2.85/3.20 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ] )
% 2.85/3.20 , clause( 28834, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.85/3.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 2.85/3.20 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 2.85/3.20 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 2.85/3.20 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 2.85/3.20 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 2.85/3.20 Y, T, X ), Z, X ) ) ] )
% 2.85/3.20 , clause( 28835, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.85/3.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 2.85/3.20 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 2.85/3.20 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 2.85/3.20 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 2.85/3.20 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 2.85/3.20 Y, T, X ), Z, X ) ) ] )
% 2.85/3.20 , clause( 28836, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 2.85/3.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 2.85/3.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 2.85/3.20 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y,
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), Z, X ) ), =( Z,
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.85/3.20 , clause( 28837, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 2.85/3.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 2.85/3.20 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 2.85/3.20 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Z,
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), T, X ) ), =( T,
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.85/3.20 , clause( 28838, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.85/3.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 2.85/3.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 2.85/3.20 ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 2.85/3.20 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 2.85/3.20 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 2.85/3.20 , Y, X ) ) ] )
% 2.85/3.20 , clause( 28839, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.85/3.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 2.85/3.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 2.85/3.20 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 2.85/3.20 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 2.85/3.20 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 2.85/3.20 , Z, X ) ] )
% 2.85/3.20 , clause( 28840, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.85/3.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 2.85/3.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 2.85/3.20 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 2.85/3.20 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 2.85/3.20 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 2.85/3.20 , Z, X ) ] )
% 2.85/3.20 , clause( 28841, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.85/3.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 2.85/3.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 2.85/3.20 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 2.85/3.20 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 2.85/3.20 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X
% 2.85/3.20 ), X ) ) ] )
% 2.85/3.20 , clause( 28842, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.85/3.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 2.85/3.20 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 2.85/3.20 ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 2.85/3.20 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ),
% 2.85/3.20 ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X
% 2.85/3.20 ), X ) ) ] )
% 2.85/3.20 , clause( 28843, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.85/3.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 2.85/3.20 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 2.85/3.20 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 2.85/3.20 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 2.85/3.20 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 2.85/3.20 , T, X ) ] )
% 2.85/3.20 , clause( 28844, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.85/3.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 2.85/3.20 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 2.85/3.20 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 2.85/3.20 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 2.85/3.20 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 2.85/3.20 , T, X ) ] )
% 2.85/3.20 , clause( 28845, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.85/3.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 2.85/3.20 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 2.85/3.20 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 2.85/3.20 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 2.85/3.20 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 2.85/3.20 Z, X ) ) ] )
% 2.85/3.20 , clause( 28846, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 2.85/3.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'(
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 2.85/3.20 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 2.85/3.20 ) ] )
% 2.85/3.20 , clause( 28847, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 2.85/3.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 2.85/3.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 2.85/3.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 2.85/3.20 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ] )
% 2.85/3.20 , clause( 28848, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 2.85/3.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 2.85/3.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 2.85/3.20 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 2.85/3.20 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ] )
% 2.85/3.20 , clause( 28849, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.85/3.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 2.85/3.20 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'(
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 2.85/3.20 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~(
% 2.85/3.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T,
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ] )
% 2.85/3.20 , clause( 28850, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.85/3.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 2.85/3.20 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 2.85/3.20 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'(
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 2.85/3.20 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ] )
% 2.85/3.20 , clause( 28851, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.85/3.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 2.85/3.20 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 2.85/3.20 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~(
% 2.85/3.20 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ] )
% 2.85/3.20 , clause( 28852, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.85/3.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 2.85/3.20 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 2.85/3.20 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 2.85/3.20 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ] )
% 2.85/3.20 , clause( 28853, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.85/3.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 2.85/3.20 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 2.85/3.20 ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 2.85/3.20 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 2.85/3.20 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 2.85/3.20 , 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ] )
% 2.85/3.20 , clause( 28854, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.85/3.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 2.85/3.20 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 2.85/3.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ),
% 2.85/3.20 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 2.85/3.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ] )
% 2.85/3.20 , clause( 28855, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.85/3.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 2.85/3.20 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 2.85/3.20 ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 2.85/3.20 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 2.85/3.20 ~( 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 2.85/3.20 , 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ] )
% 2.85/3.20 , clause( 28856, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.85/3.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 2.85/3.20 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 2.85/3.20 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ] )
% 2.85/3.20 , clause( 28857, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.85/3.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 2.85/3.20 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ) ) ] )
% 2.85/3.20 , clause( 28858, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.85/3.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 2.85/3.20 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ), ~( 'c_lessequals'(
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 2.85/3.20 , clause( 28859, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.85/3.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 2.85/3.20 , clause( 28860, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.85/3.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 2.85/3.20 , clause( 28861, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.85/3.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 2.85/3.20 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 2.85/3.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 2.85/3.20 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 2.85/3.20 ) ) ] )
% 2.85/3.20 , clause( 28862, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.85/3.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 2.85/3.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 2.85/3.20 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 2.85/3.20 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 2.85/3.20 ) ] )
% 2.85/3.20 , clause( 28863, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.85/3.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 2.85/3.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 2.85/3.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 2.85/3.20 ) ) ] )
% 2.85/3.20 , clause( 28864, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.85/3.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 2.85/3.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 2.85/3.20 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 2.85/3.20 ) ] )
% 2.85/3.20 , clause( 28865, [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) )
% 2.85/3.20 , =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X
% 2.85/3.20 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 2.85/3.20 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'(
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 2.85/3.20 , clause( 28866, [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) )
% 2.85/3.20 , =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X
% 2.85/3.20 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 2.85/3.20 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z,
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 2.85/3.20 , clause( 28867, [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) )
% 2.85/3.20 , =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X
% 2.85/3.20 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 2.85/3.20 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'(
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 2.85/3.20 , clause( 28868, [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) )
% 2.85/3.20 , =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X
% 2.85/3.20 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 2.85/3.20 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z,
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 2.85/3.20 , clause( 28869, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ),
% 2.85/3.20 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) )
% 2.85/3.20 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ] )
% 2.85/3.20 , clause( 28870, [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( Y ), X ),
% 2.85/3.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 2.85/3.20 'c_HOL_Oone__class_Oone'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 2.85/3.20 , X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ] )
% 2.85/3.20 , clause( 28871, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 2.85/3.20 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oabs__class_Oabs'(
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), 'c_HOL_Oord__class_Oless'(
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 2.85/3.20 ), X ) ] )
% 2.85/3.20 , clause( 28872, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.85/3.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 2.85/3.20 , 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 2.85/3.20 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X
% 2.85/3.20 ) ) ] )
% 2.85/3.20 , clause( 28873, [ 'c_HOL_Oord__class_Oless'(
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( X, 'c_NthRoot_Osqrt'(
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 2.85/3.20 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ), 'tc_RealDef_Oreal' ), X,
% 2.85/3.20 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 2.85/3.20 ) ] )
% 2.85/3.20 , clause( 28874, [ 'c_HOL_Oord__class_Oless'(
% 2.85/3.20 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'(
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 2.85/3.20 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'c_Transcendental_Opi',
% 2.85/3.20 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_Transcendental_Opi',
% 2.85/3.20 'tc_RealDef_Oreal' ) ] )
% 2.85/3.20 , clause( 28875, [ =( 'c_Transcendental_Otan'( 'c_HOL_Oplus__class_Oplus'(
% 2.85/3.20 X, 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 2.85/3.20 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 2.85/3.20 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ),
% 2.85/3.20 'c_Transcendental_Otan'( X ) ) ] )
% 2.85/3.20 , clause( 28876, [ =( 'c_Transcendental_Osin'( 'c_HOL_Oplus__class_Oplus'(
% 2.85/3.20 X, 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 2.85/3.20 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 2.85/3.20 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ),
% 2.85/3.20 'c_Transcendental_Osin'( X ) ) ] )
% 2.85/3.20 , clause( 28877, [ =( 'c_Transcendental_Osin'(
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit0'(
% 2.85/3.20 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_RealDef_Oreal' ),
% 2.85/3.20 'tc_RealDef_Oreal' ) ), 'c_HOL_Oinverse__class_Odivide'(
% 2.85/3.20 'c_NthRoot_Osqrt'( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 2.85/3.20 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ),
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 2.85/3.20 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ] )
% 2.85/3.20 , clause( 28878, [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oarctan'( X
% 2.85/3.20 ), 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 2.85/3.20 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 2.85/3.20 'tc_RealDef_Oreal' ) ] )
% 2.85/3.20 , clause( 28879, [ =( 'c_Transcendental_Osin'(
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 2.85/3.20 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ),
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( 'c_NthRoot_Osqrt'(
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 2.85/3.20 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ),
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 2.85/3.20 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ] )
% 2.85/3.20 , clause( 28880, [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ),
% 2.85/3.20 =( 'c_Transcendental_Osin'( 'c_HOL_Ouminus__class_Ouminus'(
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( 'c_RealDef_Oreal'( X, 'tc_nat' ),
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 2.85/3.20 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 2.85/3.20 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'(
% 2.85/3.20 'tc_RealDef_Oreal' ) ) ] )
% 2.85/3.20 , clause( 28881, [ ~( =( 'c_Transcendental_Ocos'( X ),
% 2.85/3.20 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ), =(
% 2.85/3.20 'c_Transcendental_Osin'( X ), 'c_HOL_Ozero__class_Ozero'(
% 2.85/3.20 'tc_RealDef_Oreal' ) ) ] )
% 2.85/3.20 , clause( 28882, [ 'c_lessequals'( 'c_Transcendental_Ocos'( X ),
% 2.85/3.20 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X
% 2.85/3.20 , 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( Y, X
% 2.85/3.20 , 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 2.85/3.20 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ] )
% 2.85/3.20 , clause( 28883, [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) )
% 2.85/3.20 , ~( 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ),
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oabs__class_Oabs'( Z,
% 2.85/3.20 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 2.85/3.20 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 2.85/3.20 'tc_RealDef_Oreal' ) ) ] )
% 2.85/3.20 , clause( 28884, [ 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'(
% 2.85/3.20 'c_Transcendental_Ocos'( X ), 'tc_RealDef_Oreal' ),
% 2.85/3.20 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 2.85/3.20 , clause( 28885, [ 'c_HOL_Oord__class_Oless'(
% 2.85/3.20 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 2.85/3.20 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 2.85/3.20 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 2.85/3.20 ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 2.85/3.20 ), 'tc_RealDef_Oreal' ) ] )
% 2.85/3.20 , clause( 28886, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 2.85/3.20 'tc_RealDef_Oreal' ), 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' )
% 2.85/3.20 , ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oinverse__class_Odivide'(
% 2.85/3.20 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 2.85/3.20 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 2.85/3.20 ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 2.85/3.20 ) ] )
% 2.85/3.20 , clause( 28887, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 2.85/3.20 'tc_RealDef_Oreal' ), 'c_Transcendental_Otan'( X ), 'tc_RealDef_Oreal' )
% 2.85/3.20 , ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oinverse__class_Odivide'(
% 2.85/3.20 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 2.85/3.20 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 2.85/3.20 ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 2.85/3.20 ) ] )
% 2.85/3.20 , clause( 28888, [ =( 'c_Transcendental_Otan'(
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 2.85/3.20 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_RealDef_Oreal' ),
% 2.85/3.20 'tc_RealDef_Oreal' ) ), 'c_HOL_Oinverse__class_Odivide'(
% 2.85/3.20 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'(
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 2.85/3.20 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ), 'tc_RealDef_Oreal' ) ) ] )
% 2.85/3.20 , clause( 28889, [ =( 'c_HOL_Oinverse__class_Odivide'(
% 2.85/3.20 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'c_Transcendental_Otan'(
% 2.85/3.20 X ), 'tc_RealDef_Oreal' ), 'c_Transcendental_Otan'(
% 2.85/3.20 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 2.85/3.20 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 2.85/3.20 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 2.85/3.20 ), X, 'tc_RealDef_Oreal' ) ) ) ] )
% 2.85/3.20 , clause( 28890, [ =( 'c_Transcendental_Osin'( X ), 'c_Transcendental_Ocos'(
% 2.85/3.20 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 2.85/3.20 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 2.85/3.20 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 2.85/3.20 ), X, 'tc_RealDef_Oreal' ) ) ) ] )
% 2.85/3.20 , clause( 28891, [ =( 'c_Transcendental_Ocos'( X ), 'c_Transcendental_Osin'(
% 2.85/3.20 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 2.85/3.20 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 2.85/3.20 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 2.85/3.20 ), X, 'tc_RealDef_Oreal' ) ) ) ] )
% 2.85/3.20 , clause( 28892, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.85/3.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 2.85/3.20 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 2.85/3.20 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 2.85/3.20 ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 2.85/3.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y,
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ] )
% 2.85/3.20 , clause( 28893, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.85/3.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 2.85/3.20 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 2.85/3.20 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 2.85/3.20 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 2.85/3.20 T, 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ] )
% 2.85/3.20 , clause( 28894, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.85/3.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 2.85/3.20 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 2.85/3.20 ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 2.85/3.20 X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~(
% 2.85/3.20 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ] )
% 2.85/3.20 , clause( 28895, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.85/3.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 2.85/3.20 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 2.85/3.20 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 2.85/3.20 X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 2.85/3.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ] )
% 2.85/3.20 , clause( 28896, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.85/3.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 2.85/3.20 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 2.85/3.20 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 2.85/3.20 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T
% 2.85/3.20 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ), ~(
% 2.85/3.20 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ] )
% 2.85/3.20 , clause( 28897, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.85/3.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 2.85/3.20 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 2.85/3.20 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 2.85/3.20 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'(
% 2.85/3.20 Y, 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ), ~(
% 2.85/3.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ] )
% 2.85/3.20 , clause( 28898, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.85/3.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 2.85/3.20 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 2.85/3.20 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'(
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 2.85/3.20 ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T
% 2.85/3.20 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ] )
% 2.85/3.20 , clause( 28899, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.85/3.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 2.85/3.20 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 2.85/3.20 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 2.85/3.20 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ] )
% 2.85/3.20 , clause( 28900, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 2.85/3.20 ), 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 2.85/3.20 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 2.85/3.20 , clause( 28901, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 2.85/3.20 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 2.85/3.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, Z, X ),
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 2.85/3.20 X ), X ) ) ] )
% 2.85/3.20 , clause( 28902, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 2.85/3.20 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 2.85/3.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 2.85/3.20 X ), X ) ) ] )
% 2.85/3.20 , clause( 28903, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 2.85/3.20 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 2.85/3.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Z,
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.85/3.20 , clause( 28904, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 2.85/3.20 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 2.85/3.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Y,
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.85/3.20 , clause( 28905, [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 2.85/3.20 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 2.85/3.20 X ), X ) ) ] )
% 2.85/3.20 , clause( 28906, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 2.85/3.20 'class_Int_Onumber__ring'( X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'(
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 2.85/3.20 , U, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 2.85/3.20 Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ),
% 2.85/3.20 =( Y, T ) ] )
% 2.85/3.20 , clause( 28907, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 2.85/3.20 'class_Int_Onumber__ring'( X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'(
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 2.85/3.20 , U, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 2.85/3.20 Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ),
% 2.85/3.20 =( Y, T ) ] )
% 2.85/3.20 , clause( 28908, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 2.85/3.20 ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y
% 2.85/3.20 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, T,
% 2.85/3.20 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 2.85/3.20 , clause( 28909, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 2.85/3.20 ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y
% 2.85/3.20 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 2.85/3.20 X ), 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ] )
% 2.85/3.20 , clause( 28910, [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 2.85/3.20 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 2.85/3.20 Y, Z, X ) ) ] )
% 2.85/3.20 , clause( 28911, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =(
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 2.85/3.20 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 2.85/3.20 Y, Y, X ) ) ] )
% 2.85/3.20 , clause( 28912, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 2.85/3.20 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 2.85/3.20 X ), X ) ) ] )
% 2.85/3.20 , clause( 28913, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 2.85/3.20 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 2.85/3.20 X ), X ) ) ] )
% 2.85/3.20 , clause( 28914, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 2.85/3.20 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 2.85/3.20 X ), X ) ) ] )
% 2.85/3.20 , clause( 28915, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 2.85/3.20 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 2.85/3.20 X ), X ) ) ] )
% 2.85/3.20 , clause( 28916, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 2.85/3.20 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 2.85/3.20 ) ) ] )
% 2.85/3.20 , clause( 28917, [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =(
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 2.85/3.20 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 2.85/3.20 , clause( 28918, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 2.85/3.20 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X )
% 2.85/3.20 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 2.85/3.20 ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 2.85/3.20 , clause( 28919, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 2.85/3.20 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 2.85/3.20 , clause( 28920, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 2.85/3.20 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 2.85/3.20 , clause( 28921, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 2.85/3.20 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 2.85/3.20 , clause( 28922, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 2.85/3.20 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 2.85/3.20 , clause( 28923, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 2.85/3.20 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 2.85/3.20 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X
% 2.85/3.20 ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 2.85/3.20 , clause( 28924, [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 2.85/3.20 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 2.85/3.20 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 2.85/3.20 X ), X ) ) ] )
% 2.85/3.20 , clause( 28925, [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 2.85/3.20 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 2.85/3.20 X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 2.85/3.20 , Z, X ) ) ] )
% 2.85/3.20 , clause( 28926, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =(
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 2.85/3.20 , Z, X ) ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), =( Y, Z ) ]
% 2.85/3.20 )
% 2.85/3.20 , clause( 28927, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 2.85/3.20 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oplus__class_Oplus'(
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 2.85/3.20 , T, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 2.85/3.20 Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ] )
% 2.85/3.20 , clause( 28928, [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 2.85/3.20 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oplus__class_Oplus'(
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 2.85/3.20 , T, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 2.85/3.20 Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ] )
% 2.85/3.20 , clause( 28929, [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =(
% 2.85/3.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 2.85/3.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 2.85/3.20 ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 2.85/3.20 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ), U, X ) ) ] )
% 2.85/3.20 , clause( 28930, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 2.85/3.20 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 2.85/3.20 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 2.85/3.20 , clause( 28931, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 2.85/3.20 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 2.85/3.20 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ] )
% 2.85/3.20 , clause( 28932, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 2.85/3.20 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 2.85/3.20 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 2.85/3.20 , clause( 28933, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 2.85/3.20 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 2.85/3.20 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ] )
% 2.85/3.20 , clause( 28934, [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 2.85/3.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 2.85/3.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 2.85/3.20 'c_HOL_Oone__class_Oone'( X ), X ), X ) ] )
% 2.85/3.20 , clause( 28935, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 2.85/3.20 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 2.85/3.20 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 2.85/3.20 , X ) ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'(
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 2.85/3.20 , clause( 28936, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 2.85/3.20 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 2.85/3.20 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 2.85/3.20 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 2.85/3.20 , clause( 28937, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 2.85/3.20 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 2.85/3.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 2.85/3.20 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 2.85/3.20 , clause( 28938, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 2.85/3.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 2.85/3.20 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 2.85/3.20 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 2.85/3.20 , clause( 28939, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 2.85/3.20 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 2.85/3.20 , clause( 28940, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 2.85/3.20 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 2.85/3.20 , clause( 28941, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 2.85/3.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~(
% 2.85/3.20 'c_HOL_Oord__class_Oless'( U, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ), U, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 2.85/3.20 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 2.85/3.20 ] )
% 2.85/3.20 , clause( 28942, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.85/3.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ] )
% 2.85/3.20 , clause( 28943, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.85/3.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( Z,
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( Y,
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ] )
% 2.85/3.20 , clause( 28944, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.85/3.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ] )
% 2.85/3.20 , clause( 28945, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.85/3.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'( Z,
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ] )
% 2.85/3.20 , clause( 28946, [ ~( 'class_RealVector_Oreal__field'( X ) ), =(
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 2.85/3.20 , U, X ), X ), W, X ), 'c_HOL_Oplus__class_Oplus'(
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 2.85/3.20 'c_HOL_Ominus__class_Ominus'( Z, U, X ), W, X ), X ),
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'(
% 2.85/3.20 'c_HOL_Ominus__class_Ominus'( Y, T, X ), W, X ), U, X ), X ) ) ] )
% 2.85/3.20 , clause( 28947, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 2.85/3.20 X ) ), =( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 2.85/3.20 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 2.85/3.20 , 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 2.85/3.20 , clause( 28948, [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =(
% 2.85/3.20 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 2.85/3.20 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 2.85/3.20 ) ] )
% 2.85/3.20 , clause( 28949, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 2.85/3.20 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 2.85/3.20 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 2.85/3.20 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 2.85/3.20 ) ] )
% 2.85/3.20 , clause( 28950, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 2.85/3.20 X ) ), 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'(
% 2.85/3.20 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 2.85/3.20 ) ] )
% 2.85/3.20 , clause( 28951, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 2.85/3.20 X ) ), =( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 2.85/3.20 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ), ~( 'c_lessequals'( Y,
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 2.85/3.20 , clause( 28952, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 2.85/3.20 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 2.85/3.20 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 2.85/3.20 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ), X
% 2.85/3.20 ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 2.85/3.20 , clause( 28953, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 2.85/3.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 2.85/3.20 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 2.85/3.20 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ), Z
% 2.85/3.20 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 2.85/3.20 , clause( 28954, [ =( 'c_Transcendental_Otan'( 'c_HOL_Ozero__class_Ozero'(
% 2.85/3.20 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 2.85/3.20 ) ] )
% 2.85/3.20 , clause( 28955, [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 2.85/3.20 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 2.85/3.20 'tc_RealDef_Oreal' ) ) ] )
% 2.85/3.20 , clause( 28956, [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Ozero__class_Ozero'(
% 2.85/3.20 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 2.85/3.20 ) ] )
% 2.85/3.20 , clause( 28957, [ =( 'c_Transcendental_Osin'( 'c_HOL_Ozero__class_Ozero'(
% 2.85/3.20 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 2.85/3.20 ) ] )
% 2.85/3.20 , clause( 28958, [ =( 'c_Transcendental_Oarctan'(
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ),
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ] )
% 2.85/3.20 , clause( 28959, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 2.85/3.20 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 2.85/3.20 ), X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'(
% 2.85/3.20 Y, X ), Z, X ) ) ] )
% 2.85/3.20 , clause( 28960, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 2.85/3.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 2.85/3.20 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 2.85/3.20 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 2.85/3.20 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ] )
% 2.85/3.20 , clause( 28961, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 2.85/3.20 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 2.85/3.20 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ] )
% 2.85/3.20 , clause( 28962, [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 2.85/3.20 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 2.85/3.20 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ] )
% 2.85/3.20 , clause( 28963, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 2.85/3.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 2.85/3.20 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ] )
% 2.85/3.20 , clause( 28964, [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 2.85/3.20 Z, X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 2.85/3.20 Y, Z, X ), X ) ) ] )
% 2.85/3.20 , clause( 28965, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 2.85/3.20 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 2.85/3.20 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ] )
% 2.85/3.20 , clause( 28966, [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 2.85/3.20 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 2.85/3.20 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ] )
% 2.85/3.20 , clause( 28967, [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 2.85/3.20 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 2.85/3.20 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 2.85/3.20 , clause( 28968, [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 2.85/3.20 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Z,
% 2.85/3.20 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, Z,
% 2.85/3.20 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 2.85/3.20 ) ] )
% 2.85/3.20 , clause( 28969, [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 2.85/3.20 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_RealDef_Oreal' )
% 2.85/3.20 , 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ),
% 2.85/3.20 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 2.85/3.20 ) ] )
% 2.85/3.20 , clause( 28970, [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 2.85/3.20 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Z, Y,
% 2.85/3.20 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Z,
% 2.85/3.20 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 2.85/3.20 ) ] )
% 2.85/3.20 , clause( 28971, [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 2.85/3.20 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' )
% 2.85/3.20 , 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_RealDef_Oreal' ),
% 2.85/3.20 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 2.85/3.20 ) ] )
% 2.85/3.20 , clause( 28972, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 2.85/3.20 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 2.85/3.20 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), =( Y,
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ] )
% 2.85/3.20 , clause( 28973, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 2.85/3.20 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( Y, Y, 'tc_RealDef_Oreal' ),
% 2.85/3.20 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), =( X,
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ] )
% 2.85/3.20 , clause( 28974, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 2.85/3.20 X ) ), =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'(
% 2.85/3.20 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 2.85/3.20 X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 2.85/3.20 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ] )
% 2.85/3.20 , clause( 28975, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 2.85/3.20 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 2.85/3.20 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ] )
% 2.85/3.20 , clause( 28976, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 2.85/3.20 X ) ), 'c_lessequals'( Y, 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ] )
% 2.85/3.20 , clause( 28977, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 2.85/3.20 X ) ), =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ouminus__class_Ouminus'( Y, X
% 2.85/3.20 ), X ), 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ] )
% 2.85/3.20 , clause( 28978, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 2.85/3.20 X ) ), =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 2.85/3.20 ), X ), 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Z, Y, X
% 2.85/3.20 ), X ) ) ] )
% 2.85/3.20 , clause( 28979, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 2.85/3.20 X ) ), 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 2.85/3.20 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ] )
% 2.85/3.20 , clause( 28980, [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Oone__class_Oone'(
% 2.85/3.20 'tc_RealDef_Oreal' ) ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) )
% 2.85/3.20 ] )
% 2.85/3.20 , clause( 28981, [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Oone__class_Oone'(
% 2.85/3.20 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Oone__class_Oone'(
% 2.85/3.20 'tc_RealDef_Oreal' ) ) ] )
% 2.85/3.20 , clause( 28982, [ =( 'c_HOL_Ominus__class_Ominus'(
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 2.85/3.20 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( X,
% 2.85/3.20 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 2.85/3.20 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Oone__class_Oone'(
% 2.85/3.20 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ] )
% 2.85/3.20 , clause( 28983, [ =( 'c_HOL_Otimes__class_Otimes'(
% 2.85/3.20 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ), Z,
% 2.85/3.20 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ),
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_RealDef_Oreal' ),
% 2.85/3.20 'tc_RealDef_Oreal' ) ) ] )
% 2.85/3.20 , clause( 28984, [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Otimes__class_Otimes'( X, Y
% 2.85/3.20 , 'tc_RealDef_Oreal' ) ), 'c_HOL_Otimes__class_Otimes'( 'c_NthRoot_Osqrt'(
% 2.85/3.20 X ), 'c_NthRoot_Osqrt'( Y ), 'tc_RealDef_Oreal' ) ) ] )
% 2.85/3.20 , clause( 28985, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 2.85/3.20 'tc_RealDef_Oreal' ), 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' )
% 2.85/3.20 , ~( 'c_HOL_Oord__class_Oless'( X, 'c_Transcendental_Opi',
% 2.85/3.20 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 2.85/3.20 ) ] )
% 2.85/3.20 , clause( 28986, [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 2.85/3.20 'tc_RealDef_Oreal' ), 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' )
% 2.85/3.20 , ~( 'c_lessequals'( X, 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ),
% 2.85/3.20 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X,
% 2.85/3.20 'tc_RealDef_Oreal' ) ) ] )
% 2.85/3.20 , clause( 28987, [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Oinverse__class_Odivide'( X
% 2.85/3.20 , Y, 'tc_RealDef_Oreal' ) ), 'c_HOL_Oinverse__class_Odivide'(
% 2.85/3.20 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ), 'tc_RealDef_Oreal' ) ) ]
% 2.85/3.20 )
% 2.85/3.20 , clause( 28988, [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Ocos'( X )
% 2.85/3.20 , 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 2.85/3.20 Y, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 2.85/3.20 ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ), ~(
% 2.85/3.20 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Opi',
% 2.85/3.20 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ] )
% 2.85/3.20 , clause( 28989, [ =( 'c_Transcendental_Osin'( 'c_HOL_Ominus__class_Ominus'(
% 2.85/3.20 X, Y, 'tc_RealDef_Oreal' ) ), 'c_HOL_Ominus__class_Ominus'(
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Osin'( X ),
% 2.85/3.20 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ),
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( X ),
% 2.85/3.20 'c_Transcendental_Osin'( Y ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 2.85/3.20 ) ] )
% 2.85/3.20 , clause( 28990, [ =( 'c_Transcendental_Osin'( 'c_HOL_Ominus__class_Ominus'(
% 2.85/3.20 X, Y, 'tc_RealDef_Oreal' ) ), 'c_HOL_Ominus__class_Ominus'(
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( Y ),
% 2.85/3.20 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' ),
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Osin'( Y ),
% 2.85/3.20 'c_Transcendental_Ocos'( X ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 2.85/3.20 ) ] )
% 2.85/3.20 , clause( 28991, [ =( 'c_Transcendental_Osin'( 'c_HOL_Oplus__class_Oplus'(
% 2.85/3.20 X, Y, 'tc_RealDef_Oreal' ) ), 'c_HOL_Oplus__class_Oplus'(
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Osin'( X ),
% 2.85/3.20 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ),
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( X ),
% 2.85/3.20 'c_Transcendental_Osin'( Y ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 2.85/3.20 ) ] )
% 2.85/3.20 , clause( 28992, [ =( 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ),
% 2.85/3.20 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ) ), ~(
% 2.85/3.20 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 2.85/3.20 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ] )
% 2.85/3.20 , clause( 28993, [ =( 'c_Transcendental_Otan'( X ),
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Osin'( X ),
% 2.85/3.20 'c_Transcendental_Ocos'( X ), 'tc_RealDef_Oreal' ) ) ] )
% 2.85/3.20 , clause( 28994, [ =( 'c_Transcendental_Ocos'( 'c_HOL_Oplus__class_Oplus'(
% 2.85/3.20 X, 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ),
% 2.85/3.20 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Ocos'( X ),
% 2.85/3.20 'tc_RealDef_Oreal' ) ) ] )
% 2.85/3.20 , clause( 28995, [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 2.85/3.20 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ),
% 2.85/3.20 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), X,
% 2.85/3.20 'tc_RealDef_Oreal' ) ) ] )
% 2.85/3.20 , clause( 28996, [ 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'(
% 2.85/3.20 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' ),
% 2.85/3.20 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 2.85/3.20 , clause( 28997, [ =( 'c_Transcendental_Ocos'(
% 2.85/3.20 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_RealDef_Oreal' ) ),
% 2.85/3.20 'c_Transcendental_Ocos'( X ) ) ] )
% 2.85/3.20 , clause( 28998, [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 2.85/3.20 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ), Y,
% 2.85/3.20 'tc_RealDef_Oreal' ) ) ] )
% 2.85/3.20 , clause( 28999, [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Transcendental_Otan'(
% 2.85/3.20 X ), 'c_Transcendental_Otan'( Y ), 'tc_RealDef_Oreal' ),
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Osin'(
% 2.85/3.20 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_RealDef_Oreal' ) ),
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Ocos'( X ),
% 2.85/3.20 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 2.85/3.20 ), =( 'c_Transcendental_Ocos'( Y ), 'c_HOL_Ozero__class_Ozero'(
% 2.85/3.20 'tc_RealDef_Oreal' ) ), =( 'c_Transcendental_Ocos'( X ),
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ] )
% 2.85/3.20 , clause( 29000, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.85/3.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 2.85/3.20 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 2.85/3.20 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 2.85/3.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~(
% 2.85/3.20 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ] )
% 2.85/3.20 , clause( 29001, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.85/3.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 2.85/3.20 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 2.85/3.20 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 2.85/3.20 ), X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 2.85/3.20 ), X ), X ) ) ] )
% 2.85/3.20 , clause( 29002, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.85/3.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 2.85/3.20 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 2.85/3.20 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 2.85/3.20 ), X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 2.85/3.20 ), X ), Z, X ) ) ] )
% 2.85/3.20 , clause( 29003, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.85/3.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 2.85/3.20 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 2.85/3.20 , Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( T, Z, X ),
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ] )
% 2.85/3.20 , clause( 29004, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.85/3.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 2.85/3.20 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 2.85/3.20 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 2.85/3.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ),
% 2.85/3.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ] )
% 2.85/3.20 , clause( 29005, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.85/3.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 2.85/3.20 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 2.85/3.20 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~(
% 2.85/3.20 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'(
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ] )
% 2.85/3.20 , clause( 29006, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.85/3.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 2.85/3.20 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 2.85/3.20 , Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ] )
% 2.85/3.20 , clause( 29007, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.85/3.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 2.85/3.20 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 2.85/3.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 2.85/3.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ] )
% 2.85/3.20 , clause( 29008, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.85/3.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 2.85/3.20 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 2.85/3.20 , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 2.85/3.20 X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( Y, T, X ),
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ] )
% 2.85/3.20 , clause( 29009, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.85/3.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 2.85/3.20 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 2.85/3.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 2.85/3.20 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ] )
% 2.85/3.20 , clause( 29010, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.85/3.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 2.85/3.20 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 2.85/3.20 ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 2.85/3.20 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~(
% 2.85/3.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T,
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ] )
% 2.85/3.20 , clause( 29011, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.85/3.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 2.85/3.20 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 2.85/3.20 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 2.85/3.20 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T
% 2.85/3.20 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ),
% 2.85/3.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ] )
% 2.85/3.20 , clause( 29012, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.85/3.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 2.85/3.20 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 2.85/3.20 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 2.85/3.20 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 2.85/3.20 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oinverse__class_Odivide'( Y,
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ) ] )
% 2.85/3.20 , clause( 29013, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.85/3.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 2.85/3.20 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 2.85/3.20 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 2.85/3.20 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'(
% 2.85/3.20 Y, 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ),
% 2.85/3.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ] )
% 2.85/3.20 , clause( 29014, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.85/3.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 2.85/3.20 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 2.85/3.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 2.85/3.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ),
% 2.85/3.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ] )
% 2.85/3.20 , clause( 29015, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.85/3.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 2.85/3.20 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 2.85/3.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ),
% 2.85/3.20 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 2.85/3.20 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ] )
% 2.85/3.20 , clause( 29016, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.85/3.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 2.85/3.20 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 2.85/3.20 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 2.85/3.20 ), X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 2.85/3.20 X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ] )
% 2.85/3.20 , clause( 29017, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.85/3.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 2.85/3.20 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 2.85/3.20 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 2.85/3.20 ), X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 2.85/3.20 ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ] )
% 2.85/3.20 , clause( 29018, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.85/3.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 2.85/3.20 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 2.85/3.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 2.85/3.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~(
% 2.85/3.20 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ] )
% 2.85/3.20 , clause( 29019, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.85/3.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 2.85/3.20 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 2.85/3.20 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 2.85/3.20 , T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 2.85/3.20 ), T, X ) ] )
% 2.85/3.20 , clause( 29020, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.85/3.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 2.85/3.20 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 2.85/3.20 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 2.85/3.20 , T, X ), Z, X ) ) ] )
% 2.85/3.20 , clause( 29021, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.85/3.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 2.85/3.20 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 2.85/3.20 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 2.85/3.20 , T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 2.85/3.20 , T, X ), Z, X ) ) ] )
% 2.85/3.20 , clause( 29022, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.85/3.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 2.85/3.20 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 2.85/3.20 , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ] )
% 2.85/3.20 , clause( 29023, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.85/3.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 2.85/3.20 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 2.85/3.20 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 2.85/3.20 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'(
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ),
% 2.85/3.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ] )
% 2.85/3.20 , clause( 29024, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.85/3.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 2.85/3.20 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 2.85/3.20 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 2.85/3.20 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'(
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ), ~(
% 2.85/3.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ] )
% 2.85/3.20 , clause( 29025, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.85/3.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 2.85/3.20 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 2.85/3.20 ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'(
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ), ~(
% 2.85/3.20 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ] )
% 2.85/3.20 , clause( 29026, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.85/3.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 2.85/3.20 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 2.85/3.20 , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 2.85/3.20 , X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T,
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ), ~(
% 2.85/3.20 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ] )
% 2.85/3.20 , clause( 29027, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.85/3.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 2.85/3.20 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 2.85/3.20 , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 2.85/3.20 ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ), ~( 'c_lessequals'(
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 2.85/3.20 ), X ), Z, X ) ) ] )
% 2.85/3.20 , clause( 29028, [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'(
% 2.85/3.20 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ),
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( Y ), X ) ) ] )
% 2.85/3.20 , clause( 29029, [ =( 'c_Transcendental_Osin'( 'c_HOL_Otimes__class_Otimes'(
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( 'c_Int_Onumber__class_Onumber__of'(
% 2.85/3.20 'c_Int_OBit1'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 2.85/3.20 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 2.85/3.20 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ),
% 2.85/3.20 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'(
% 2.85/3.20 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ] )
% 2.85/3.20 , clause( 29030, [ =( 'c_HOL_Oinverse__class_Odivide'(
% 2.85/3.20 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 2.85/3.20 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_RealDef_Oreal' ),
% 2.85/3.20 'tc_RealDef_Oreal' ), 'c_HOL_Ominus__class_Ominus'(
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 2.85/3.20 'c_Int_OBit0'( 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ),
% 2.85/3.20 'tc_RealDef_Oreal' ), 'c_Transcendental_Oarctan'(
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'(
% 2.85/3.20 'tc_RealDef_Oreal' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'(
% 2.85/3.20 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_RealDef_Oreal' ),
% 2.85/3.20 'tc_RealDef_Oreal' ) ), 'tc_RealDef_Oreal' ), 'c_Transcendental_Oarctan'(
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'(
% 2.85/3.20 'tc_RealDef_Oreal' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'(
% 2.85/3.20 'c_Int_OBit1'( 'c_Int_OBit1'( 'c_Int_OBit1'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 2.85/3.20 'c_Int_OBit1'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ) ) ) ) ) ),
% 2.85/3.20 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), 'tc_RealDef_Oreal' ) ) ] )
% 2.85/3.20 , clause( 29031, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 2.85/3.20 'tc_RealDef_Oreal' ), 'c_Transcendental_Ocos'( X ), 'tc_RealDef_Oreal' )
% 2.85/3.20 , ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oinverse__class_Odivide'(
% 2.85/3.20 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 2.85/3.20 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 2.85/3.20 ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 2.85/3.20 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 2.85/3.20 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 2.85/3.20 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 2.85/3.20 ), 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ] )
% 2.85/3.20 , clause( 29032, [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 2.85/3.20 'tc_RealDef_Oreal' ), 'c_Transcendental_Ocos'( X ), 'tc_RealDef_Oreal' )
% 2.85/3.20 , ~( 'c_lessequals'( X, 'c_HOL_Oinverse__class_Odivide'(
% 2.85/3.20 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 2.85/3.20 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 2.85/3.20 ), 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'(
% 2.85/3.20 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 2.85/3.20 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 2.85/3.20 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 2.85/3.20 ), 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ] )
% 2.85/3.20 , clause( 29033, [ =( 'c_FFT__Mirabelle_Oroot'( X ), 'c_Complex_Ocis'(
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 2.85/3.20 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'c_Transcendental_Opi',
% 2.85/3.20 'tc_RealDef_Oreal' ), 'c_RealDef_Oreal'( X, 'tc_nat' ),
% 2.85/3.20 'tc_RealDef_Oreal' ) ) ) ] )
% 2.85/3.20 , clause( 29034, [ 'c_HOL_Oord__class_Oless'(
% 2.85/3.20 'c_Transcendental_Osko__Transcendental__Xtan__total__pi4__1__1'( X ),
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit0'(
% 2.85/3.20 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_RealDef_Oreal' ),
% 2.85/3.20 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 2.85/3.20 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' ),
% 2.85/3.20 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ]
% 2.85/3.20 )
% 2.85/3.20 , clause( 29035, [ =( 'c_Transcendental_Osin'( 'c_HOL_Otimes__class_Otimes'(
% 2.85/3.20 'c_RealDef_Oreal'( X, 'tc_nat' ), 'c_Transcendental_Opi',
% 2.85/3.20 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 2.85/3.20 ) ] )
% 2.85/3.20 , clause( 29036, [ =( 'c_Transcendental_Otan'( 'c_HOL_Otimes__class_Otimes'(
% 2.85/3.20 'c_RealDef_Oreal'( X, 'tc_nat' ), 'c_Transcendental_Opi',
% 2.85/3.20 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 2.85/3.20 ) ] )
% 2.85/3.20 , clause( 29037, [ =( 'c_Transcendental_Osin'( 'c_HOL_Otimes__class_Otimes'(
% 2.85/3.20 'c_Transcendental_Opi', 'c_RealDef_Oreal'( X, 'tc_nat' ),
% 2.85/3.20 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 2.85/3.20 ) ] )
% 2.85/3.20 , clause( 29038, [ ~( =( 'c_Transcendental_Osin'( X ),
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ), =(
% 2.85/3.20 'c_HOL_Oabs__class_Oabs'( 'c_Transcendental_Ocos'( X ),
% 2.85/3.20 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ]
% 2.85/3.20 )
% 2.85/3.20 , clause( 29039, [ ~( =( 'c_Transcendental_Ocos'( X ),
% 2.85/3.20 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ), ~( =(
% 2.85/3.20 'c_Transcendental_Osin'( X ), 'c_HOL_Ozero__class_Ozero'(
% 2.85/3.20 'tc_RealDef_Oreal' ) ) ), ~( 'c_HOL_Oord__class_Oless'( X,
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 2.85/3.20 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 2.85/3.20 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 2.85/3.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 2.85/3.20 ), X, 'tc_RealDef_Oreal' ) ) ] )
% 2.85/3.20 , clause( 29040, [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ),
% 2.85/3.20 =( 'c_Transcendental_Osin'( 'c_HOL_Otimes__class_Otimes'(
% 2.85/3.20 'c_RealDef_Oreal'( X, 'tc_nat' ), 'c_HOL_Oinverse__class_Odivide'(
% 2.85/3.20 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 2.85/3.20 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 2.85/3.20 ), 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'(
% 2.85/3.20 'tc_RealDef_Oreal' ) ) ] )
% 2.85/3.20 , clause( 29041, [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 2.85/3.20 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), X ), X ),
% 2.85/3.20 'c_HOL_Oplus__class_Oplus'( Y, Y, X ) ) ] )
% 2.85/3.20 , clause( 29042, [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 2.85/3.20 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), X ), Y, X ),
% 2.85/3.20 'c_HOL_Oplus__class_Oplus'( Y, Y, X ) ) ] )
% 2.85/3.20 , clause( 29043, [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 2.85/3.20 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 2.85/3.20 'c_HOL_Oone__class_Oone'( X ), X ), 'c_Int_Onumber__class_Onumber__of'(
% 2.85/3.20 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), X ) ) ] )
% 2.85/3.20 , clause( 29044, [ =( 'c_HOL_Oplus__class_Oplus'(
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( X, 'c_Int_Onumber__class_Onumber__of'(
% 2.85/3.20 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 2.85/3.20 'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Odivide'( X,
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 2.85/3.20 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 2.85/3.20 'tc_RealDef_Oreal' ), X ) ] )
% 2.85/3.20 , clause( 29045, [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( X, 'c_Int_Onumber__class_Onumber__of'(
% 2.85/3.20 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 2.85/3.20 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( X, 'c_Int_Onumber__class_Onumber__of'(
% 2.85/3.20 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 2.85/3.20 'tc_RealDef_Oreal' ) ) ] )
% 2.85/3.20 , clause( 29046, [ 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'(
% 2.85/3.20 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 2.85/3.20 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ] )
% 2.85/3.20 , clause( 29047, [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Opi',
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit0'(
% 2.85/3.20 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_RealDef_Oreal' ),
% 2.85/3.20 'tc_RealDef_Oreal' ) ] )
% 2.85/3.20 , clause( 29048, [ 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ), =(
% 2.85/3.20 'c_Transcendental_Ocos'( 'c_HOL_Ouminus__class_Ouminus'(
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( 'c_RealDef_Oreal'( X, 'tc_nat' ),
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 2.85/3.20 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 2.85/3.20 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'(
% 2.85/3.20 'tc_RealDef_Oreal' ) ) ] )
% 2.85/3.20 , clause( 29049, [ ~( =( 'c_Transcendental_Ocos'( X ),
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ), ~( 'c_lessequals'(
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 2.85/3.20 ), =( X, 'c_HOL_Otimes__class_Otimes'( 'c_RealDef_Oreal'(
% 2.85/3.20 'c_Transcendental_Osko__Transcendental__Xcos__zero__lemma__1__1'( X ),
% 2.85/3.20 'tc_nat' ), 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 2.85/3.20 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 2.85/3.20 'tc_RealDef_Oreal' ) ) ] )
% 2.85/3.20 , clause( 29050, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.85/3.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 2.85/3.20 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_HOL_Oord__class_Oless'(
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 2.85/3.20 'c_Int_OPls' ) ), X ), X ), X ) ) ] )
% 2.85/3.20 , clause( 29051, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.85/3.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 2.85/3.20 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 2.85/3.20 'c_Int_OPls' ) ), X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 2.85/3.20 , clause( 29052, [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Ocos'(
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 2.85/3.20 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'(
% 2.85/3.20 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 2.85/3.20 , clause( 29053, [ 'c_lessequals'( 'c_Transcendental_Ocos'(
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 2.85/3.20 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'(
% 2.85/3.20 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 2.85/3.20 , clause( 29054, [ =( 'c_Transcendental_Osin'( 'c_HOL_Otimes__class_Otimes'(
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 2.85/3.20 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ),
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 2.85/3.20 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'c_Transcendental_Osin'( X ),
% 2.85/3.20 'tc_RealDef_Oreal' ), 'c_Transcendental_Ocos'( X ), 'tc_RealDef_Oreal' )
% 2.85/3.20 ) ] )
% 2.85/3.20 , clause( 29055, [ 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'(
% 2.85/3.20 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 2.85/3.20 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 2.85/3.20 ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 2.85/3.20 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 2.85/3.20 , clause( 29056, [ 'c_HOL_Oord__class_Oless'(
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 2.85/3.20 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 2.85/3.20 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 2.85/3.20 , clause( 29057, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.85/3.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 2.85/3.20 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 2.85/3.20 'c_HOL_Oone__class_Oone'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 2.85/3.20 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), X ), X ), X ) ] )
% 2.85/3.20 , clause( 29058, [ =( 'c_Transcendental_Osin'( 'c_HOL_Otimes__class_Otimes'(
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 2.85/3.20 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'c_Transcendental_Opi',
% 2.85/3.20 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 2.85/3.20 ) ] )
% 2.85/3.20 , clause( 29059, [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 2.85/3.20 'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Odivide'(
% 2.85/3.20 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 2.85/3.20 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 2.85/3.20 ), 'tc_RealDef_Oreal' ) ] )
% 2.85/3.20 , clause( 29060, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 2.85/3.20 'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Odivide'(
% 2.85/3.20 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 2.85/3.20 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 2.85/3.20 ), 'tc_RealDef_Oreal' ) ] )
% 2.85/3.20 , clause( 29061, [ =( 'c_Transcendental_Osin'(
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 2.85/3.20 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_RealDef_Oreal' ),
% 2.85/3.20 'tc_RealDef_Oreal' ) ), 'c_HOL_Oinverse__class_Odivide'(
% 2.85/3.20 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 2.85/3.20 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ] )
% 2.85/3.20 , clause( 29062, [ =( 'c_Transcendental_Otan'(
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit0'(
% 2.85/3.20 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_RealDef_Oreal' ),
% 2.85/3.20 'tc_RealDef_Oreal' ) ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) )
% 2.85/3.20 ] )
% 2.85/3.20 , clause( 29063, [ =( 'c_Transcendental_Osin'(
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 2.85/3.20 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ),
% 2.85/3.20 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ] )
% 2.85/3.20 , clause( 29064, [ =( 'c_Transcendental_Oarctan'( 'c_HOL_Oone__class_Oone'(
% 2.85/3.20 'tc_RealDef_Oreal' ) ), 'c_HOL_Oinverse__class_Odivide'(
% 2.85/3.20 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 2.85/3.20 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_RealDef_Oreal' ),
% 2.85/3.20 'tc_RealDef_Oreal' ) ) ] )
% 2.85/3.20 , clause( 29065, [ =( 'c_Transcendental_Ocos'( 'c_HOL_Oplus__class_Oplus'(
% 2.85/3.20 X, 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 2.85/3.20 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 2.85/3.20 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ),
% 2.85/3.20 'c_Transcendental_Ocos'( X ) ) ] )
% 2.85/3.20 , clause( 29066, [ =( 'c_Transcendental_Ocos'(
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit0'(
% 2.85/3.20 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_RealDef_Oreal' ),
% 2.85/3.20 'tc_RealDef_Oreal' ) ), 'c_HOL_Oinverse__class_Odivide'(
% 2.85/3.20 'c_NthRoot_Osqrt'( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 2.85/3.20 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ),
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 2.85/3.20 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ] )
% 2.85/3.20 , clause( 29067, [ =( 'c_Transcendental_Ocos'(
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 2.85/3.20 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_RealDef_Oreal' ),
% 2.85/3.20 'tc_RealDef_Oreal' ) ), 'c_HOL_Oinverse__class_Odivide'(
% 2.85/3.20 'c_NthRoot_Osqrt'( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'(
% 2.85/3.20 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ),
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 2.85/3.20 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ] )
% 2.85/3.20 , clause( 29068, [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Ocos'(
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 2.85/3.20 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), X,
% 2.85/3.20 'tc_RealDef_Oreal' ) ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 2.85/3.20 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X,
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 2.85/3.20 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 2.85/3.20 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 2.85/3.20 ), X, 'tc_RealDef_Oreal' ) ) ] )
% 2.85/3.20 , clause( 29069, [ =( 'c_Transcendental_Osin'( 'c_HOL_Otimes__class_Otimes'(
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 2.85/3.20 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 2.85/3.20 'c_RealDef_Oreal'( X, 'tc_nat' ), 'tc_RealDef_Oreal' ),
% 2.85/3.20 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ),
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ] )
% 2.85/3.20 , clause( 29070, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 2.85/3.20 'tc_RealDef_Oreal' ), 'c_Transcendental_Ocos'( X ), 'tc_RealDef_Oreal' )
% 2.85/3.20 , ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oinverse__class_Odivide'(
% 2.85/3.20 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 2.85/3.20 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 2.85/3.20 ), 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 2.85/3.20 ) ] )
% 2.85/3.20 , clause( 29071, [ 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ), =(
% 2.85/3.20 'c_Transcendental_Ocos'( 'c_HOL_Otimes__class_Otimes'( 'c_RealDef_Oreal'(
% 2.85/3.20 X, 'tc_nat' ), 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 2.85/3.20 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 2.85/3.20 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 2.85/3.20 ) ] )
% 2.85/3.20 , clause( 29072, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 2.85/3.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 2.85/3.20 , X ) ) ] )
% 2.85/3.20 , clause( 29073, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 2.85/3.20 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'( Y, Y
% 2.85/3.20 , X ) ) ] )
% 2.85/3.20 , clause( 29074, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 2.85/3.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 2.85/3.20 'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 2.85/3.20 , Z, X ), Z, X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), =( Z,
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.85/3.20 , clause( 29075, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 2.85/3.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 2.85/3.20 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.85/3.20 , clause( 29076, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 2.85/3.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 2.85/3.20 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.85/3.20 , clause( 29077, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 2.85/3.20 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 2.85/3.20 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.85/3.20 , clause( 29078, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 2.85/3.20 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 2.85/3.20 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.85/3.20 , clause( 29079, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.85/3.20 , clause( 29080, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.85/3.20 , clause( 29081, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.85/3.20 , clause( 29082, [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.85/3.20 , clause( 29083, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 2.85/3.20 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 2.85/3.20 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.85/3.20 , clause( 29084, [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.85/3.20 , clause( 29085, [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.85/3.20 , clause( 29086, [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X
% 2.85/3.20 ) ), =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 2.85/3.20 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.85/3.20 , clause( 29087, [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X
% 2.85/3.20 ) ), =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 2.85/3.20 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.85/3.20 , clause( 29088, [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ),
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.85/3.20 , clause( 29089, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 2.85/3.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 2.85/3.20 'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.85/3.20 , clause( 29090, [ =( 'c_Int_OBit0'( 'c_Int_OPls' ), 'c_Int_OPls' ) ] )
% 2.85/3.20 , clause( 29091, [ ~( =( 'c_HOL_Otimes__class_Otimes'(
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 2.85/3.20 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ),
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( Y, Z, 'tc_RealDef_Oreal' ) ) ), =( X,
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Otimes__class_Otimes'(
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 2.85/3.20 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' ),
% 2.85/3.20 'tc_RealDef_Oreal' ) ) ] )
% 2.85/3.20 , clause( 29092, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 2.85/3.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 2.85/3.20 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 2.85/3.20 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( Y
% 2.85/3.20 , X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.85/3.20 , clause( 29093, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 2.85/3.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 2.85/3.20 'class_Int_Onumber'( X ) ), ~( =( 'c_HOL_Oinverse__class_Odivide'( Y, Z,
% 2.85/3.20 X ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), =( Y,
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( T, X )
% 2.85/3.20 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.85/3.20 , clause( 29094, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 2.85/3.20 X ) ), ~( =( 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 2.85/3.20 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.85/3.20 , clause( 29095, [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 2.85/3.20 'c_Int_OPls', X ) ) ] )
% 2.85/3.20 , clause( 29096, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 2.85/3.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ] )
% 2.85/3.20 , clause( 29097, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), =( U,
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 2.85/3.20 ), =( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ] )
% 2.85/3.20 , clause( 29098, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 2.85/3.20 , U, X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( U,
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 2.85/3.20 , U, X ), 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ] )
% 2.85/3.20 , clause( 29099, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 2.85/3.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y, X ),
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.85/3.20 , clause( 29100, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 2.85/3.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 2.85/3.20 'class_Int_Onumber'( X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 2.85/3.20 , X ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y ), =(
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 2.85/3.20 ) ) ] )
% 2.85/3.20 , clause( 29101, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 2.85/3.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 2.85/3.20 'class_Int_Onumber'( X ) ), =( Y, 'c_HOL_Otimes__class_Otimes'(
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 2.85/3.20 , X ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), =(
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 2.85/3.20 ) ) ] )
% 2.85/3.20 , clause( 29102, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 2.85/3.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 2.85/3.20 'class_Int_Onumber'( X ) ), =( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 2.85/3.20 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), Z, X ) ), =( Z,
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.85/3.20 , clause( 29103, [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 2.85/3.20 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Z, Y,
% 2.85/3.20 'tc_RealDef_Oreal' ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 2.85/3.20 'tc_RealDef_Oreal' ) ), =( X, Z ) ] )
% 2.85/3.20 , clause( 29104, [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 2.85/3.20 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Z,
% 2.85/3.20 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 2.85/3.20 'tc_RealDef_Oreal' ) ), =( Y, Z ) ] )
% 2.85/3.20 , clause( 29105, [ ~( =( 'c_Int_OPls', 'c_Int_OBit1'( X ) ) ) ] )
% 2.85/3.20 , clause( 29106, [ =( 'c_HOL_Oinverse__class_Odivide'(
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 2.85/3.20 'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Odivide'( Y, X,
% 2.85/3.20 'tc_RealDef_Oreal' ) ) ] )
% 2.85/3.20 , clause( 29107, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 2.85/3.20 X ) ), =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X )
% 2.85/3.20 , 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ] )
% 2.85/3.20 , clause( 29108, [ ~( =( 'c_HOL_Oinverse__class_Odivide'(
% 2.85/3.20 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 2.85/3.20 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 2.85/3.20 ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ) ] )
% 2.85/3.20 , clause( 29109, [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OPls' ) ) ] )
% 2.85/3.20 , clause( 29110, [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OPls' ) ), =( X,
% 2.85/3.20 'c_Int_OPls' ) ] )
% 2.85/3.20 , clause( 29111, [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OBit0'( Y ) ) ), =( X,
% 2.85/3.20 Y ) ] )
% 2.85/3.20 , clause( 29112, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 2.85/3.20 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ), X
% 2.85/3.20 ), Y ) ] )
% 2.85/3.20 , clause( 29113, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 2.85/3.20 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ), X
% 2.85/3.20 ), Y ) ] )
% 2.85/3.20 , clause( 29114, [ ~( =( 'c_Transcendental_Opi', 'c_HOL_Ozero__class_Ozero'(
% 2.85/3.20 'tc_RealDef_Oreal' ) ) ) ] )
% 2.85/3.20 , clause( 29115, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =(
% 2.85/3.20 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 2.85/3.20 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 2.85/3.20 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'(
% 2.85/3.20 X ) ) ] )
% 2.85/3.20 , clause( 29116, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 2.85/3.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 2.85/3.20 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ), X ),
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.85/3.20 , clause( 29117, [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 2.85/3.20 =( 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ]
% 2.85/3.20 )
% 2.85/3.20 , clause( 29118, [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 2.85/3.20 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ) ] )
% 2.85/3.20 , clause( 29119, [ =( 'c_Transcendental_Ocos'( 'c_HOL_Ozero__class_Ozero'(
% 2.85/3.20 'tc_RealDef_Oreal' ) ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) )
% 2.85/3.20 ] )
% 2.85/3.20 , clause( 29120, [ =( 'c_HOL_Otimes__class_Otimes'(
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 2.85/3.20 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Odivide'(
% 2.85/3.20 X, 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 2.85/3.20 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), Y,
% 2.85/3.20 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( X, Y, 'tc_RealDef_Oreal' ) ) ] )
% 2.85/3.20 , clause( 29121, [ ~( =( 'c_HOL_Oinverse__class_Odivide'(
% 2.85/3.20 'c_Transcendental_Opi', 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 2.85/3.20 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 2.85/3.20 ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 2.85/3.20 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ) ) ] )
% 2.85/3.20 , clause( 29122, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 2.85/3.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 2.85/3.20 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 2.85/3.20 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), Z, X ),
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ] )
% 2.85/3.20 , clause( 29123, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 2.85/3.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ),
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 2.85/3.20 )
% 2.85/3.20 , clause( 29124, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y
% 2.85/3.20 ) ] )
% 2.85/3.20 , clause( 29125, [ =( 'c_Transcendental_Ocos'(
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 2.85/3.20 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ),
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'(
% 2.85/3.20 'tc_RealDef_Oreal' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 2.85/3.20 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal'
% 2.85/3.20 ) ) ] )
% 2.85/3.20 , clause( 29126, [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ),
% 2.85/3.20 'c_HOL_Oone__class_Oone'( X ) ) ] )
% 2.85/3.20 , clause( 29127, [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OBit0'( Y ) ) ) ] )
% 2.85/3.20 , clause( 29128, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 2.85/3.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 2.85/3.20 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 2.85/3.20 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), Z, X ) ) ] )
% 2.85/3.20 , clause( 29129, [ =( 'c_Int_OPls', 'c_Int_OBit0'( 'c_Int_OPls' ) ) ] )
% 2.85/3.20 , clause( 29130, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 2.85/3.20 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 2.85/3.20 'c_HOL_Oone__class_Oone'( X ) ) ] )
% 2.85/3.20 , clause( 29131, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 2.85/3.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 2.85/3.20 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 2.85/3.20 X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ), =(
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 2.85/3.20 , T, X ), Z ), =( T, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.85/3.20 , clause( 29132, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 2.85/3.20 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X
% 2.85/3.20 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 2.85/3.20 , X ), T, X ) ) ] )
% 2.85/3.20 , clause( 29133, [ =( 'c_HOL_Otimes__class_Otimes'(
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ), Z,
% 2.85/3.20 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X,
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_RealDef_Oreal' ),
% 2.85/3.20 'tc_RealDef_Oreal' ) ) ] )
% 2.85/3.20 , clause( 29134, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 2.85/3.20 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X
% 2.85/3.20 ), X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y
% 2.85/3.20 , T, X ), X ) ) ] )
% 2.85/3.20 , clause( 29135, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 2.85/3.20 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X
% 2.85/3.20 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 2.85/3.20 , X ), T, X ) ) ] )
% 2.85/3.20 , clause( 29136, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 2.85/3.20 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 2.85/3.20 , T, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'(
% 2.85/3.20 Z, T, X ), X ) ) ] )
% 2.85/3.20 , clause( 29137, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 2.85/3.20 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 2.85/3.20 , T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y,
% 2.85/3.20 T, X ), Z, X ) ) ] )
% 2.85/3.20 , clause( 29138, [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 2.85/3.20 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 2.85/3.20 T, X ), X ) ) ] )
% 2.85/3.20 , clause( 29139, [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 2.85/3.20 'c_HOL_Oone__class_Oone'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 2.85/3.20 'c_Int_OBit1'( 'c_Int_OPls' ), X ) ) ] )
% 2.85/3.20 , clause( 29140, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X )
% 2.85/3.20 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, Z ) ] )
% 2.85/3.20 , clause( 29141, [ =( 'c_Transcendental_Ocos'( 'c_HOL_Otimes__class_Otimes'(
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 2.85/3.20 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'c_Transcendental_Opi',
% 2.85/3.20 'tc_RealDef_Oreal' ) ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) )
% 2.85/3.20 ] )
% 2.85/3.20 , clause( 29142, [ =( 'c_Transcendental_Ocos'( 'c_HOL_Otimes__class_Otimes'(
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( 'c_Int_Onumber__class_Onumber__of'(
% 2.85/3.20 'c_Int_OBit1'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 2.85/3.20 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 2.85/3.20 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ),
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ] )
% 2.85/3.20 , clause( 29143, [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X )
% 2.85/3.20 ), =( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ] )
% 2.85/3.20 , clause( 29144, [ =( 'c_HOL_Oabs__class_Oabs'( 'c_RealDef_Oreal'( X,
% 2.85/3.20 'tc_nat' ), 'tc_RealDef_Oreal' ), 'c_RealDef_Oreal'( X, 'tc_nat' ) ) ] )
% 2.85/3.20 , clause( 29145, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 2.85/3.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 2.85/3.20 'class_Int_Onumber'( X ) ), =( Y, 'c_HOL_Oinverse__class_Odivide'(
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 2.85/3.20 ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), =(
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 2.85/3.20 ) ) ] )
% 2.85/3.20 , clause( 29146, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 2.85/3.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 2.85/3.20 'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 2.85/3.20 ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y ), =(
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 2.85/3.20 ) ) ] )
% 2.85/3.20 , clause( 29147, [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X )
% 2.85/3.20 ), =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y,
% 2.85/3.20 Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ] )
% 2.85/3.20 , clause( 29148, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 2.85/3.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 2.85/3.20 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, T, X )
% 2.85/3.20 , 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ] )
% 2.85/3.20 , clause( 29149, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 2.85/3.20 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 2.85/3.20 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ] )
% 2.85/3.20 , clause( 29150, [ =( 'c_Transcendental_Ocos'( 'c_HOL_Otimes__class_Otimes'(
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 2.85/3.20 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 2.85/3.20 'c_RealDef_Oreal'( X, 'tc_nat' ), 'tc_RealDef_Oreal' ),
% 2.85/3.20 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ), 'c_HOL_Oone__class_Oone'(
% 2.85/3.20 'tc_RealDef_Oreal' ) ) ] )
% 2.85/3.20 , clause( 29151, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Oinverse__class_Odivide'(
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ) ) ] )
% 2.85/3.20 , clause( 29152, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ), Z ) ] )
% 2.85/3.20 , clause( 29153, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 2.85/3.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 2.85/3.20 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.85/3.20 , clause( 29154, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 2.85/3.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 2.85/3.20 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.85/3.20 , clause( 29155, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 2.85/3.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 2.85/3.20 'class_Int_Onumber'( X ) ), ~( =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_Int_Onumber__class_Onumber__of'(
% 2.85/3.20 Z, X ) ) ), =( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.85/3.20 , clause( 29156, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 2.85/3.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 2.85/3.20 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 2.85/3.20 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 2.85/3.20 , 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ] )
% 2.85/3.20 , clause( 29157, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 2.85/3.20 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 2.85/3.20 , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'(
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ] )
% 2.85/3.20 , clause( 29158, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 2.85/3.20 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 2.85/3.20 , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ] )
% 2.85/3.20 , clause( 29159, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 2.85/3.20 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 2.85/3.20 , 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ] )
% 2.85/3.20 , clause( 29160, [ =( 'c_Transcendental_Ocos'(
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Opi',
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 2.85/3.20 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ),
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ] )
% 2.85/3.20 , clause( 29161, [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 2.85/3.20 =( 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ]
% 2.85/3.20 )
% 2.85/3.20 , clause( 29162, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 2.85/3.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 2.85/3.20 'class_Int_Onumber'( X ) ), =( 'c_HOL_Ozero__class_Ozero'( X ),
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 2.85/3.20 ), X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ] )
% 2.85/3.20 , clause( 29163, [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X
% 2.85/3.20 ) ), ~( =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 2.85/3.20 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.85/3.20 , clause( 29164, [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ),
% 2.85/3.20 ~( =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 2.85/3.20 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.85/3.20 , clause( 29165, [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ),
% 2.85/3.20 ~( =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 2.85/3.20 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z,
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.85/3.20 , clause( 29166, [ ~( =( 'c_RealDef_Oreal'( X, 'tc_nat' ),
% 2.85/3.20 'c_RealDef_Oreal'( Y, 'tc_nat' ) ) ), =( X, Y ) ] )
% 2.85/3.20 , clause( 29167, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 2.85/3.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 2.85/3.20 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 2.85/3.20 X ), 'c_HOL_Oinverse__class_Odivide'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 2.85/3.20 , X ) ) ), =( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.85/3.20 , clause( 29168, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 2.85/3.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 2.85/3.20 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 2.85/3.20 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 2.85/3.20 ) ] )
% 2.85/3.20 , clause( 29169, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 2.85/3.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 2.85/3.20 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 2.85/3.20 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( 'c_HOL_Ozero__class_Ozero'(
% 2.85/3.20 X ), 'c_HOL_Oinverse__class_Odivide'( Z,
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ] )
% 2.85/3.20 , clause( 29170, [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 2.85/3.20 'c_Int_OBit1'( 'c_Int_OPls' ), X ), Y, X ), Y ) ] )
% 2.85/3.20 , clause( 29171, [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'(
% 2.85/3.20 'c_Int_OBit1'( 'c_Int_OPls' ), X ), X ), Y ) ] )
% 2.85/3.20 , clause( 29172, [ ~( =( 'c_Int_OPls', 'c_Int_OBit0'( X ) ) ), =(
% 2.85/3.20 'c_Int_OPls', X ) ] )
% 2.85/3.20 , clause( 29173, [ ~( =( 'c_Transcendental_Ocos'(
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 2.85/3.20 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'(
% 2.85/3.20 'tc_RealDef_Oreal' ) ) ) ] )
% 2.85/3.20 , clause( 29174, [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 2.85/3.20 ] )
% 2.85/3.20 , clause( 29175, [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 2.85/3.20 ] )
% 2.85/3.20 , clause( 29176, [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 2.85/3.20 ] )
% 2.85/3.20 , clause( 29177, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 2.85/3.20 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y
% 2.85/3.20 ) ] )
% 2.85/3.20 , clause( 29178, [ =( 'c_HOL_Otimes__class_Otimes'(
% 2.85/3.20 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ),
% 2.85/3.20 X ) ] )
% 2.85/3.20 , clause( 29179, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 2.85/3.20 =( 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y
% 2.85/3.20 ) ] )
% 2.85/3.20 , clause( 29180, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 2.85/3.20 =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y
% 2.85/3.20 ) ] )
% 2.85/3.20 , clause( 29181, [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OBit1'( Y ) ) ), =( X,
% 2.85/3.20 Y ) ] )
% 2.85/3.20 , clause( 29182, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 2.85/3.20 =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'(
% 2.85/3.20 Z, Y, X ) ) ] )
% 2.85/3.20 , clause( 29183, [ =( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 2.85/3.20 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, X,
% 2.85/3.20 'tc_RealDef_Oreal' ) ) ] )
% 2.85/3.20 , clause( 29184, [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 2.85/3.20 =( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'(
% 2.85/3.20 Z, Y, X ) ) ] )
% 2.85/3.20 , clause( 29185, [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 2.85/3.20 X ) ), =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X )
% 2.85/3.20 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.85/3.20 , clause( 29186, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 2.85/3.20 , Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ] )
% 2.85/3.20 , clause( 29187, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 2.85/3.20 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.85/3.20 , clause( 29188, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 2.85/3.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 2.85/3.20 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.85/3.20 , clause( 29189, [ ~( 'class_Int_Oring__char__0'( X ) ), ~(
% 2.85/3.20 'class_Int_Onumber__ring'( X ) ), ~( =(
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =( Y, Z ) ] )
% 2.85/3.20 , clause( 29190, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 2.85/3.20 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.85/3.20 , clause( 29191, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 2.85/3.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 2.85/3.20 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.85/3.20 , clause( 29192, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 2.85/3.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 2.85/3.20 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.85/3.20 , clause( 29193, [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 2.85/3.20 , 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.85/3.20 , clause( 29194, [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 2.85/3.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 2.85/3.20 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 2.85/3.20 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 2.85/3.20 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ] )
% 2.85/3.20 , clause( 29195, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 2.85/3.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 2.85/3.20 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ), =( Z,
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.85/3.20 , clause( 29196, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 2.85/3.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 2.85/3.20 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ), =( Y,
% 2.85/3.20 'c_HOL_Ozero__class_Ozero'( X ) ) ] )
% 2.85/3.20 , clause( 29197, [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OBit1'( Y ) ) ) ] )
% 2.85/3.20 , clause( 29198, [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 2.85/3.20 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 2.85/3.20 , T, X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 2.85/3.20 Y, T, X ), Z, X ) ) ] )
% 2.85/3.20 , clause( 29199, [ =( 'c_HOL_Otimes__class_Otimes'(
% 2.85/3.20 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'(
% 2.85/3.20 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'(
% 2.85/3.20 'tc_RealDef_Oreal' ) ) ] )
% 2.85/3.20 , clause( 29200, [ =( 'c_Transcendental_Ocos'(
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 2.85/3.20 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'c_Transcendental_Opi',
% 2.85/3.20 'tc_RealDef_Oreal' ), 'c_RealDef_Oreal'( 'v_n', 'tc_nat' ),
% 2.85/3.20 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 2.85/3.20 ) ] )
% 2.85/3.20 , clause( 29201, [ =( 'c_HOL_Oabs__class_Oabs'( 'c_Transcendental_Ocos'(
% 2.85/3.20 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 2.85/3.20 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 2.85/3.20 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'c_Transcendental_Opi',
% 2.85/3.20 'tc_RealDef_Oreal' ), 'c_RealDef_Oreal'( 'v_n', 'tc_nat' ),
% 2.85/3.20 'tc_RealDef_Oreal' ) ), 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'(
% 2.85/3.20 'tc_RealDef_Oreal' ) ) ] )
% 2.85/3.20 , clause( 29202, [
% 2.85/3.20 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' ) ]
% 2.85/3.20 )
% 2.85/3.20 , clause( 29203, [
% 2.85/3.20 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat' ) ]
% 2.85/3.20 )
% 2.85/3.20 , clause( 29204, [
% 2.85/3.20 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' ) ]
% 2.85/3.20 )
% 2.85/3.20 , clause( 29205, [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 2.85/3.20 'tc_nat' ) ] )
% 2.85/3.20 , clause( 29206, [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 2.85/3.20 'tc_nat' ) ] )
% 2.85/3.20 , clause( 29207, [ 'class_OrderedGroup_Opordered__ab__semigroup__add'(
% 2.85/3.20 'tc_nat' ) ] )
% 2.85/3.20 , clause( 29208, [ 'class_OrderedGroup_Opordered__comm__monoid__add'(
% 2.85/3.20 'tc_nat' ) ] )
% 2.85/3.20 , clause( 29209, [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 2.85/3.20 'tc_nat' ) ] )
% 2.85/3.20 , clause( 29210, [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' )
% 2.85/3.20 ] )
% 2.85/3.20 , clause( 29211, [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' )
% 2.85/3.20 ] )
% 2.85/3.20 , clause( 29212, [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_nat' )
% 2.85/3.20 ] )
% 2.85/3.20 , clause( 29213, [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' )
% 2.85/3.20 ] )
% 2.85/3.20 , clause( 29214, [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ]
% 2.85/3.20 )
% 2.85/3.20 , clause( 29215, [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' )
% 2.85/3.20 ] )
% 2.85/3.20 , clause( 29216, [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ]
% 2.85/3.20 )
% 2.85/3.20 , clause( 29217, [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ]
% 2.85/3.20 )
% 2.85/3.20 , clause( 29218, [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ]
% 2.85/3.20 )
% 2.85/3.20 , clause( 29219, [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ]
% 2.85/3.20 )
% 2.85/3.20 , clause( 29220, [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ] )
% 2.85/3.20 , clause( 29221, [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ]
% 2.85/3.20 )
% 2.85/3.20 , clause( 29222, [ 'class_Ring__and__Field_Omult__mono1'( 'tc_nat' ) ] )
% 2.85/3.20 , clause( 29223, [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ] )
% 2.85/3.20 , clause( 29224, [ 'class_Ring__and__Field_Omult__mono'( 'tc_nat' ) ] )
% 2.85/3.20 , clause( 29225, [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ] )
% 2.85/3.20 , clause( 29226, [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ] )
% 2.85/3.20 , clause( 29227, [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ] )
% 2.85/3.20 , clause( 29228, [ 'class_Orderings_Opreorder'( 'tc_nat' ) ] )
% 2.85/3.20 , clause( 29229, [ 'class_Orderings_Olinorder'( 'tc_nat' ) ] )
% 2.85/3.20 , clause( 29230, [ 'class_Orderings_Oorder'( 'tc_nat' ) ] )
% 2.85/3.20 , clause( 29231, [ 'class_Int_Onumber'( 'tc_nat' ) ] )
% 2.85/3.20 , clause( 29232, [
% 2.85/3.20 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_Int_Oint'
% 2.85/3.20 ) ] )
% 2.85/3.20 , clause( 29233, [
% 2.85/3.20 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 2.85/3.20 'tc_Int_Oint' ) ] )
% 2.85/3.20 , clause( 29234, [
% 2.85/3.20 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_Int_Oint'
% 2.85/3.20 ) ] )
% 2.85/3.20 , clause( 29235, [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 2.85/3.20 'tc_Int_Oint' ) ] )
% 2.85/3.20 , clause( 29236, [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 2.85/3.20 'tc_Int_Oint' ) ] )
% 2.85/3.20 , clause( 29237, [ 'class_OrderedGroup_Opordered__ab__semigroup__add'(
% 2.85/3.20 'tc_Int_Oint' ) ] )
% 2.85/3.20 , clause( 29238, [ 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 2.85/3.20 'tc_Int_Oint' ) ] )
% 2.85/3.20 , clause( 29239, [ 'class_OrderedGroup_Olordered__ab__group__add__abs'(
% 2.85/3.20 'tc_Int_Oint' ) ] )
% 2.85/3.20 , clause( 29240, [ 'class_OrderedGroup_Opordered__comm__monoid__add'(
% 2.85/3.20 'tc_Int_Oint' ) ] )
% 2.85/3.20 , clause( 29241, [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 2.85/3.20 'tc_Int_Oint' ) ] )
% 2.85/3.20 , clause( 29242, [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 2.85/3.20 'tc_Int_Oint' ) ] )
% 2.85/3.20 , clause( 29243, [ 'class_Ring__and__Field_Oordered__ring__strict'(
% 2.85/3.20 'tc_Int_Oint' ) ] )
% 2.85/3.20 , clause( 29244, [ 'class_OrderedGroup_Opordered__ab__group__add'(
% 2.85/3.20 'tc_Int_Oint' ) ] )
% 2.85/3.20 , clause( 29245, [ 'class_OrderedGroup_Olordered__ab__group__add'(
% 2.85/3.20 'tc_Int_Oint' ) ] )
% 2.85/3.20 , clause( 29246, [ 'class_OrderedGroup_Oordered__ab__group__add'(
% 2.85/3.20 'tc_Int_Oint' ) ] )
% 2.85/3.20 , clause( 29247, [ 'class_OrderedGroup_Ocancel__semigroup__add'(
% 2.85/3.20 'tc_Int_Oint' ) ] )
% 2.85/3.20 , clause( 29248, [ 'class_Ring__and__Field_Opordered__semiring'(
% 2.85/3.20 'tc_Int_Oint' ) ] )
% 2.85/3.20 , clause( 29249, [ 'class_Ring__and__Field_Opordered__ring__abs'(
% 2.85/3.20 'tc_Int_Oint' ) ] )
% 2.85/3.20 , clause( 29250, [ 'class_Ring__and__Field_Oordered__semiring'(
% 2.85/3.20 'tc_Int_Oint' ) ] )
% 2.85/3.20 , clause( 29251, [ 'class_Ring__and__Field_Ono__zero__divisors'(
% 2.85/3.20 'tc_Int_Oint' ) ] )
% 2.85/3.20 , clause( 29252, [ 'class_Ring__and__Field_Oordered__semidom'(
% 2.85/3.20 'tc_Int_Oint' ) ] )
% 2.85/3.20 , clause( 29253, [ 'class_Ring__and__Field_Ocomm__semiring__1'(
% 2.85/3.20 'tc_Int_Oint' ) ] )
% 2.85/3.20 , clause( 29254, [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Int_Oint'
% 2.85/3.20 ) ] )
% 2.85/3.20 , clause( 29255, [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Int_Oint'
% 2.85/3.20 ) ] )
% 2.85/3.20 , clause( 29256, [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Int_Oint'
% 2.85/3.20 ) ] )
% 2.85/3.20 , clause( 29257, [ 'class_Ring__and__Field_Opordered__ring'( 'tc_Int_Oint'
% 2.85/3.20 ) ] )
% 2.85/3.20 , clause( 29258, [ 'class_Ring__and__Field_Olordered__ring'( 'tc_Int_Oint'
% 2.85/3.20 ) ] )
% 2.85/3.20 , clause( 29259, [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Int_Oint'
% 2.85/3.20 ) ] )
% 2.85/3.20 , clause( 29260, [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Int_Oint' )
% 2.85/3.20 ] )
% 2.85/3.20 , clause( 29261, [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Int_Oint'
% 2.85/3.20 ) ] )
% 2.85/3.20 , clause( 29262, [ 'class_Ring__and__Field_Oordered__idom'( 'tc_Int_Oint' )
% 2.85/3.20 ] )
% 2.85/3.20 , clause( 29263, [ 'class_Ring__and__Field_Omult__mono1'( 'tc_Int_Oint' ) ]
% 2.85/3.20 )
% 2.85/3.20 , clause( 29264, [ 'class_OrderedGroup_Oab__group__add'( 'tc_Int_Oint' ) ]
% 2.85/3.20 )
% 2.85/3.20 , clause( 29265, [ 'class_Ring__and__Field_Omult__zero'( 'tc_Int_Oint' ) ]
% 2.85/3.20 )
% 2.85/3.20 , clause( 29266, [ 'class_Ring__and__Field_Omult__mono'( 'tc_Int_Oint' ) ]
% 2.85/3.20 )
% 2.85/3.20 , clause( 29267, [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Int_Oint' ) ] )
% 2.85/3.20 , clause( 29268, [ 'class_Ring__and__Field_Osemiring'( 'tc_Int_Oint' ) ] )
% 2.85/3.20 , clause( 29269, [ 'class_OrderedGroup_Omonoid__add'( 'tc_Int_Oint' ) ] )
% 2.85/3.20 , clause( 29270, [ 'class_OrderedGroup_Ogroup__add'( 'tc_Int_Oint' ) ] )
% 2.85/3.20 , clause( 29271, [ 'class_Ring__and__Field_Oabs__if'( 'tc_Int_Oint' ) ] )
% 2.85/3.20 , clause( 29272, [ 'class_Ring__and__Field_Oring'( 'tc_Int_Oint' ) ] )
% 2.85/3.20 , clause( 29273, [ 'class_Ring__and__Field_Oidom'( 'tc_Int_Oint' ) ] )
% 2.85/3.20 , clause( 29274, [ 'class_Orderings_Opreorder'( 'tc_Int_Oint' ) ] )
% 2.85/3.20 , clause( 29275, [ 'class_Orderings_Olinorder'( 'tc_Int_Oint' ) ] )
% 2.85/3.20 , clause( 29276, [ 'class_Orderings_Oorder'( 'tc_Int_Oint' ) ] )
% 2.85/3.20 , clause( 29277, [ 'class_Int_Oring__char__0'( 'tc_Int_Oint' ) ] )
% 2.85/3.20 , clause( 29278, [ 'class_Int_Onumber__ring'( 'tc_Int_Oint' ) ] )
% 2.85/3.20 , clause( 29279, [ 'class_Int_Onumber'( 'tc_Int_Oint' ) ] )
% 2.85/3.20 , clause( 29280, [
% 2.85/3.20 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 2.85/3.20 'tc_RealDef_Oreal' ) ] )
% 2.85/3.20 , clause( 29281, [
% 2.85/3.20 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 2.85/3.20 'tc_RealDef_Oreal' ) ] )
% 2.85/3.20 , clause( 29282, [
% 2.85/3.20 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 2.85/3.20 'tc_RealDef_Oreal' ) ] )
% 2.85/3.20 , clause( 29283, [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 2.85/3.20 'tc_RealDef_Oreal' ) ] )
% 2.85/3.20 , clause( 29284, [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 2.85/3.20 'tc_RealDef_Oreal' ) ] )
% 2.85/3.20 , clause( 29285, [ 'class_OrderedGroup_Opordered__ab__semigroup__add'(
% 2.85/3.20 'tc_RealDef_Oreal' ) ] )
% 2.85/3.20 , clause( 29286, [ 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 2.85/3.20 'tc_RealDef_Oreal' ) ] )
% 2.85/3.20 , clause( 29287, [ 'class_OrderedGroup_Olordered__ab__group__add__abs'(
% 2.85/3.20 'tc_RealDef_Oreal' ) ] )
% 2.85/3.20 , clause( 29288, [ 'class_OrderedGroup_Opordered__comm__monoid__add'(
% 2.85/3.20 'tc_RealDef_Oreal' ) ] )
% 2.85/3.20 , clause( 29289, [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 2.85/3.20 'tc_RealDef_Oreal' ) ] )
% 2.85/3.20 , clause( 29290, [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 2.85/3.20 'tc_RealDef_Oreal' ) ] )
% 2.85/3.20 , clause( 29291, [ 'class_Ring__and__Field_Oordered__ring__strict'(
% 2.85/3.20 'tc_RealDef_Oreal' ) ] )
% 2.85/3.20 , clause( 29292, [ 'class_OrderedGroup_Opordered__ab__group__add'(
% 2.85/3.20 'tc_RealDef_Oreal' ) ] )
% 2.85/3.20 , clause( 29293, [ 'class_OrderedGroup_Olordered__ab__group__add'(
% 2.85/3.20 'tc_RealDef_Oreal' ) ] )
% 2.85/3.20 , clause( 29294, [ 'class_OrderedGroup_Oordered__ab__group__add'(
% 2.85/3.20 'tc_RealDef_Oreal' ) ] )
% 2.85/3.20 , clause( 29295, [ 'class_OrderedGroup_Ocancel__semigroup__add'(
% 2.85/3.20 'tc_RealDef_Oreal' ) ] )
% 2.85/3.20 , clause( 29296, [ 'class_Ring__and__Field_Opordered__semiring'(
% 2.85/3.20 'tc_RealDef_Oreal' ) ] )
% 2.85/3.20 , clause( 29297, [ 'class_Ring__and__Field_Opordered__ring__abs'(
% 2.85/3.20 'tc_RealDef_Oreal' ) ] )
% 2.85/3.20 , clause( 29298, [ 'class_Ring__and__Field_Oordered__semiring'(
% 2.85/3.20 'tc_RealDef_Oreal' ) ] )
% 2.85/3.20 , clause( 29299, [ 'class_Ring__and__Field_Ono__zero__divisors'(
% 2.85/3.20 'tc_RealDef_Oreal' ) ] )
% 2.85/3.20 , clause( 29300, [ 'class_Ring__and__Field_Odivision__by__zero'(
% 2.85/3.20 'tc_RealDef_Oreal' ) ] )
% 2.85/3.20 , clause( 29301, [ 'class_Ring__and__Field_Oordered__semidom'(
% 2.85/3.20 'tc_RealDef_Oreal' ) ] )
% 2.85/3.20 , clause( 29302, [ 'class_Ring__and__Field_Ocomm__semiring__1'(
% 2.85/3.20 'tc_RealDef_Oreal' ) ] )
% 2.85/3.20 , clause( 29303, [ 'class_RealVector_Oreal__normed__algebra'(
% 2.85/3.20 'tc_RealDef_Oreal' ) ] )
% 2.85/3.20 , clause( 29304, [ 'class_OrderedGroup_Oab__semigroup__mult'(
% 2.85/3.20 'tc_RealDef_Oreal' ) ] )
% 2.85/3.20 , clause( 29305, [ 'class_OrderedGroup_Ocomm__monoid__mult'(
% 2.85/3.20 'tc_RealDef_Oreal' ) ] )
% 2.85/3.20 , clause( 29306, [ 'class_OrderedGroup_Oab__semigroup__add'(
% 2.85/3.20 'tc_RealDef_Oreal' ) ] )
% 2.85/3.20 , clause( 29307, [ 'class_Ring__and__Field_Opordered__ring'(
% 2.85/3.20 'tc_RealDef_Oreal' ) ] )
% 2.85/3.20 , clause( 29308, [ 'class_Ring__and__Field_Oordered__field'(
% 2.85/3.20 'tc_RealDef_Oreal' ) ] )
% 2.85/3.20 , clause( 29309, [ 'class_Ring__and__Field_Olordered__ring'(
% 2.85/3.20 'tc_RealDef_Oreal' ) ] )
% 2.85/3.20 , clause( 29310, [ 'class_Ring__and__Field_Ocomm__semiring'(
% 2.85/3.20 'tc_RealDef_Oreal' ) ] )
% 2.85/3.20 , clause( 29311, [ 'class_RealVector_Oreal__normed__field'(
% 2.85/3.20 'tc_RealDef_Oreal' ) ] )
% 2.85/3.20 , clause( 29312, [ 'class_OrderedGroup_Ocomm__monoid__add'(
% 2.85/3.20 'tc_RealDef_Oreal' ) ] )
% 2.85/3.20 , clause( 29313, [ 'class_Ring__and__Field_Ozero__neq__one'(
% 2.85/3.20 'tc_RealDef_Oreal' ) ] )
% 2.85/3.20 , clause( 29314, [ 'class_Ring__and__Field_Oordered__idom'(
% 2.85/3.20 'tc_RealDef_Oreal' ) ] )
% 2.85/3.20 , clause( 29315, [ 'class_Ring__and__Field_Omult__mono1'(
% 2.85/3.20 'tc_RealDef_Oreal' ) ] )
% 2.85/3.20 , clause( 29316, [ 'class_OrderedGroup_Oab__group__add'( 'tc_RealDef_Oreal'
% 2.85/3.20 ) ] )
% 2.85/3.20 , clause( 29317, [ 'class_Ring__and__Field_Omult__zero'( 'tc_RealDef_Oreal'
% 2.85/3.20 ) ] )
% 2.85/3.20 , clause( 29318, [ 'class_Ring__and__Field_Omult__mono'( 'tc_RealDef_Oreal'
% 2.85/3.20 ) ] )
% 2.85/3.20 , clause( 29319, [ 'class_OrderedGroup_Omonoid__mult'( 'tc_RealDef_Oreal' )
% 2.85/3.20 ] )
% 2.85/3.20 , clause( 29320, [ 'class_Ring__and__Field_Osemiring'( 'tc_RealDef_Oreal' )
% 2.85/3.20 ] )
% 2.85/3.20 , clause( 29321, [ 'class_OrderedGroup_Omonoid__add'( 'tc_RealDef_Oreal' )
% 2.85/3.20 ] )
% 2.85/3.20 , clause( 29322, [ 'class_OrderedGroup_Ogroup__add'( 'tc_RealDef_Oreal' ) ]
% 2.85/3.20 )
% 2.85/3.20 , clause( 29323, [ 'class_Ring__and__Field_Oabs__if'( 'tc_RealDef_Oreal' )
% 2.85/3.20 ] )
% 2.85/3.20 , clause( 29324, [ 'class_RealVector_Oreal__field'( 'tc_RealDef_Oreal' ) ]
% 2.85/3.20 )
% 2.85/3.20 , clause( 29325, [ 'class_Ring__and__Field_Ofield'( 'tc_RealDef_Oreal' ) ]
% 2.85/3.20 )
% 2.85/3.20 , clause( 29326, [ 'class_Ring__and__Field_Oring'( 'tc_RealDef_Oreal' ) ]
% 2.85/3.20 )
% 2.85/3.20 , clause( 29327, [ 'class_Ring__and__Field_Oidom'( 'tc_RealDef_Oreal' ) ]
% 2.85/3.20 )
% 2.85/3.20 , clause( 29328, [ 'class_Orderings_Opreorder'( 'tc_RealDef_Oreal' ) ] )
% 2.85/3.20 , clause( 29329, [ 'class_Orderings_Olinorder'( 'tc_RealDef_Oreal' ) ] )
% 2.85/3.20 , clause( 29330, [ 'class_Orderings_Oorder'( 'tc_RealDef_Oreal' ) ] )
% 2.85/3.20 , clause( 29331, [ 'class_Int_Oring__char__0'( 'tc_RealDef_Oreal' ) ] )
% 2.85/3.20 , clause( 29332, [ 'class_Int_Onumber__ring'( 'tc_RealDef_Oreal' ) ] )
% 2.85/3.20 , clause( 29333, [ 'class_Int_Onumber'( 'tc_RealDef_Oreal' ) ] )
% 2.85/3.20 , clause( 29334, [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 2.85/3.20 'tc_Complex_Ocomplex' ) ] )
% 2.85/3.20 , clause( 29335, [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 2.85/3.20 'tc_Complex_Ocomplex' ) ] )
% 2.85/3.20 , clause( 29336, [ 'class_OrderedGroup_Ocancel__semigroup__add'(
% 2.85/3.20 'tc_Complex_Ocomplex' ) ] )
% 2.85/3.20 , clause( 29337, [ 'class_Ring__and__Field_Ono__zero__divisors'(
% 2.85/3.20 'tc_Complex_Ocomplex' ) ] )
% 2.85/3.20 , clause( 29338, [ 'class_Ring__and__Field_Odivision__by__zero'(
% 2.85/3.20 'tc_Complex_Ocomplex' ) ] )
% 2.85/3.20 , clause( 29339, [ 'class_Ring__and__Field_Ocomm__semiring__1'(
% 2.85/3.20 'tc_Complex_Ocomplex' ) ] )
% 2.85/3.20 , clause( 29340, [ 'class_RealVector_Oreal__normed__algebra'(
% 2.85/3.20 'tc_Complex_Ocomplex' ) ] )
% 2.85/3.20 , clause( 29341, [ 'class_OrderedGroup_Oab__semigroup__mult'(
% 2.85/3.20 'tc_Complex_Ocomplex' ) ] )
% 2.85/3.20 , clause( 29342, [ 'class_OrderedGroup_Ocomm__monoid__mult'(
% 2.85/3.20 'tc_Complex_Ocomplex' ) ] )
% 2.85/3.20 , clause( 29343, [ 'class_OrderedGroup_Oab__semigroup__add'(
% 2.85/3.20 'tc_Complex_Ocomplex' ) ] )
% 2.85/3.20 , clause( 29344, [ 'class_Ring__and__Field_Ocomm__semiring'(
% 2.85/3.20 'tc_Complex_Ocomplex' ) ] )
% 2.85/3.20 , clause( 29345, [ 'class_RealVector_Oreal__normed__field'(
% 2.85/3.20 'tc_Complex_Ocomplex' ) ] )
% 2.85/3.20 , clause( 29346, [ 'class_OrderedGroup_Ocomm__monoid__add'(
% 2.85/3.20 'tc_Complex_Ocomplex' ) ] )
% 2.85/3.20 , clause( 29347, [ 'class_Ring__and__Field_Ozero__neq__one'(
% 2.85/3.20 'tc_Complex_Ocomplex' ) ] )
% 2.85/3.20 , clause( 29348, [ 'class_OrderedGroup_Oab__group__add'(
% 2.85/3.20 'tc_Complex_Ocomplex' ) ] )
% 2.85/3.20 , clause( 29349, [ 'class_Ring__and__Field_Omult__zero'(
% 2.85/3.20 'tc_Complex_Ocomplex' ) ] )
% 2.85/3.20 , clause( 29350, [ 'class_OrderedGroup_Omonoid__mult'(
% 2.85/3.20 'tc_Complex_Ocomplex' ) ] )
% 2.85/3.20 , clause( 29351, [ 'class_Ring__and__Field_Osemiring'(
% 2.85/3.20 'tc_Complex_Ocomplex' ) ] )
% 2.85/3.20 , clause( 29352, [ 'class_OrderedGroup_Omonoid__add'( 'tc_Complex_Ocomplex'
% 2.85/3.20 ) ] )
% 2.85/3.20 , clause( 29353, [ 'class_OrderedGroup_Ogroup__add'( 'tc_Complex_Ocomplex'
% 2.85/3.20 ) ] )
% 2.85/3.20 , clause( 29354, [ 'class_RealVector_Oreal__field'( 'tc_Complex_Ocomplex' )
% 2.85/3.20 ] )
% 2.85/3.20 , clause( 29355, [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex' )
% 2.85/3.20 ] )
% 2.85/3.20 , clause( 29356, [ 'class_Ring__and__Field_Oring'( 'tc_Complex_Ocomplex' )
% 2.85/3.20 ] )
% 2.85/3.20 , clause( 29357, [ 'class_Ring__and__Field_Oidom'( 'tc_Complex_Ocomplex' )
% 2.85/3.20 ] )
% 2.85/3.20 , clause( 29358, [ 'class_Int_Oring__char__0'( 'tc_Complex_Ocomplex' ) ] )
% 2.85/3.20 , clause( 29359, [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ] )
% 2.85/3.20 , clause( 29360, [ 'class_Int_Onumber'( 'tc_Complex_Ocomplex' ) ] )
% 2.85/3.20 ] ).
% 2.85/3.20
% 2.85/3.20
% 2.85/3.20
% 2.85/3.20 subsumption(
% 2.85/3.20 clause( 7, [ 'c_lessequals'( X, X, 'tc_RealDef_Oreal' ) ] )
% 2.85/3.20 , clause( 28257, [ 'c_lessequals'( X, X, 'tc_RealDef_Oreal' ) ] )
% 2.85/3.20 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.85/3.20
% 2.85/3.20
% 2.85/3.20 subsumption(
% 2.85/3.20 clause( 14, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'(
% 2.85/3.20 Y, Z, X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 2.85/3.20 T, Z, X ) ) ] )
% 2.85/3.20 , clause( 28264, [ ~( 'class_Orderings_Oorder'( X ) ),
% 2.85/3.20 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, T, X ) ), ~(
% 2.85/3.20 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ] )
% 2.85/3.20 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z ), :=( T, T )] ),
% 2.85/3.20 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] )
% 2.85/3.20 ).
% 2.85/3.20
% 2.85/3.20
% 2.85/3.20 subsumption(
% 2.85/3.20 clause( 75, [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_RealDef_Oreal' ) ) ]
% 2.85/3.20 )
% 2.85/3.20 , clause( 28326, [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_RealDef_Oreal' )
% 2.85/3.20 ) ] )
% 2.85/3.20 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.85/3.20
% 2.85/3.20
% 2.85/3.20 subsumption(
% 2.85/3.20 clause( 112, [ 'c_lessequals'( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y
% 2.85/3.20 ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) )
% 2.85/3.20 ] )
% 2.85/3.20 , clause( 28366, [ 'c_lessequals'( 'c_NthRoot_Osqrt'( X ),
% 2.85/3.20 'c_NthRoot_Osqrt'( Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Y,
% 2.85/3.20 'tc_RealDef_Oreal' ) ) ] )
% 2.85/3.20 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.85/3.20 ), ==>( 1, 1 )] ) ).
% 2.85/3.20
% 2.85/3.20
% 2.85/3.20 subsumption(
% 2.85/3.20 clause( 154, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 2.85/3.20 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 2.85/3.20 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'c_HOL_Oabs__class_Oabs'(
% 2.85/3.20 X, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 2.85/3.20 , clause( 28411, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 2.85/3.20 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 2.85/3.20 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'c_HOL_Oabs__class_Oabs'(
% 2.85/3.20 X, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 2.85/3.20 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.85/3.20
% 2.85/3.20
% 2.85/3.20 subsumption(
% 2.85/3.20 clause( 171, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X )
% 2.85/3.20 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 2.85/3.20 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 2.85/3.20 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 2.85/3.20 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ] )
% 2.85/3.20 , clause( 28432, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 2.85/3.22 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 2.85/3.22 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) )
% 2.85/3.22 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 2.85/3.22 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ] )
% 2.85/3.22 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 2.85/3.22 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] )
% 2.85/3.22 ).
% 2.85/3.22
% 2.85/3.22
% 2.85/3.22 subsumption(
% 2.85/3.22 clause( 201, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 2.85/3.22 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 2.85/3.22 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 2.85/3.22 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 2.85/3.22 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 2.85/3.22 , clause( 28464, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 2.85/3.22 ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 2.85/3.22 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 2.85/3.22 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 2.85/3.22 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 2.85/3.22 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 2.85/3.22 permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] )
% 2.85/3.22 ).
% 2.85/3.22
% 2.85/3.22
% 2.85/3.22 subsumption(
% 2.85/3.22 clause( 470, [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Otimes__class_Otimes'( X, X,
% 2.85/3.22 'tc_RealDef_Oreal' ) ), 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' )
% 2.85/3.22 ) ] )
% 2.85/3.22 , clause( 28804, [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Otimes__class_Otimes'( X, X
% 2.85/3.22 , 'tc_RealDef_Oreal' ) ), 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal'
% 2.85/3.22 ) ) ] )
% 2.85/3.22 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.85/3.22
% 2.85/3.22
% 2.85/3.22 subsumption(
% 2.85/3.22 clause( 595, [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Ozero__class_Ozero'(
% 2.85/3.22 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 2.85/3.22 ) ] )
% 2.85/3.22 , clause( 28956, [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Ozero__class_Ozero'(
% 2.85/3.22 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 2.85/3.22 ) ] )
% 2.85/3.22 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.85/3.22
% 2.85/3.22
% 2.85/3.22 subsumption(
% 2.85/3.22 clause( 755, [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'(
% 2.85/3.22 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), X ) ] )
% 2.85/3.22 , clause( 29178, [ =( 'c_HOL_Otimes__class_Otimes'(
% 2.85/3.22 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ),
% 2.85/3.22 X ) ] )
% 2.85/3.22 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.85/3.22
% 2.85/3.22
% 2.85/3.22 subsumption(
% 2.85/3.22 clause( 769, [ =( 'c_Transcendental_Ocos'( 'c_HOL_Oinverse__class_Odivide'(
% 2.85/3.22 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'(
% 2.85/3.22 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ),
% 2.85/3.22 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ), 'c_RealDef_Oreal'( 'v_n',
% 2.85/3.22 'tc_nat' ), 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'(
% 2.85/3.22 'tc_RealDef_Oreal' ) ) ] )
% 2.85/3.22 , clause( 29200, [ =( 'c_Transcendental_Ocos'(
% 2.85/3.22 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 2.85/3.22 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 2.85/3.22 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'c_Transcendental_Opi',
% 2.85/3.22 'tc_RealDef_Oreal' ), 'c_RealDef_Oreal'( 'v_n', 'tc_nat' ),
% 2.85/3.22 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 2.85/3.22 ) ] )
% 2.85/3.22 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.85/3.22
% 2.85/3.22
% 2.85/3.22 paramod(
% 2.85/3.22 clause( 34789, [ =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'(
% 2.85/3.22 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'(
% 2.85/3.22 'tc_RealDef_Oreal' ) ) ] )
% 2.85/3.22 , clause( 769, [ =( 'c_Transcendental_Ocos'(
% 2.85/3.22 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 2.85/3.22 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 2.85/3.22 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'c_Transcendental_Opi',
% 2.85/3.22 'tc_RealDef_Oreal' ), 'c_RealDef_Oreal'( 'v_n', 'tc_nat' ),
% 2.85/3.22 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 2.85/3.22 ) ] )
% 2.85/3.22 , 0, clause( 29201, [ =( 'c_HOL_Oabs__class_Oabs'( 'c_Transcendental_Ocos'(
% 2.85/3.22 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 2.85/3.22 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 2.85/3.22 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'c_Transcendental_Opi',
% 2.85/3.24 'tc_RealDef_Oreal' ), 'c_RealDef_Oreal'( 'v_n', 'tc_nat' ),
% 2.85/3.24 'tc_RealDef_Oreal' ) ), 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'(
% 2.85/3.24 'tc_RealDef_Oreal' ) ) ] )
% 2.85/3.24 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 2.85/3.24
% 2.85/3.24
% 2.85/3.24 subsumption(
% 2.85/3.24 clause( 770, [ =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'(
% 2.85/3.24 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'(
% 2.85/3.24 'tc_RealDef_Oreal' ) ) ] )
% 2.85/3.24 , clause( 34789, [ =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'(
% 2.85/3.24 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'(
% 2.85/3.24 'tc_RealDef_Oreal' ) ) ] )
% 2.85/3.24 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.85/3.24
% 2.85/3.24
% 2.85/3.24 subsumption(
% 2.85/3.24 clause( 853, [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 2.85/3.24 'tc_RealDef_Oreal' ) ] )
% 2.85/3.24 , clause( 29284, [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 2.85/3.24 'tc_RealDef_Oreal' ) ] )
% 2.85/3.24 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.85/3.24
% 2.85/3.24
% 2.85/3.24 subsumption(
% 2.85/3.24 clause( 860, [ 'class_Ring__and__Field_Oordered__ring__strict'(
% 2.85/3.24 'tc_RealDef_Oreal' ) ] )
% 2.85/3.24 , clause( 29291, [ 'class_Ring__and__Field_Oordered__ring__strict'(
% 2.85/3.24 'tc_RealDef_Oreal' ) ] )
% 2.85/3.24 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.85/3.24
% 2.85/3.24
% 2.85/3.24 subsumption(
% 2.85/3.24 clause( 899, [ 'class_Orderings_Oorder'( 'tc_RealDef_Oreal' ) ] )
% 2.85/3.24 , clause( 29330, [ 'class_Orderings_Oorder'( 'tc_RealDef_Oreal' ) ] )
% 2.85/3.24 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.85/3.24
% 2.85/3.24
% 2.85/3.24 resolution(
% 2.85/3.24 clause( 37746, [ ~( 'class_Orderings_Oorder'( 'tc_RealDef_Oreal' ) ), ~(
% 2.85/3.24 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ), ~(
% 2.85/3.24 'c_HOL_Oord__class_Oless'( Y, X, 'tc_RealDef_Oreal' ) ) ] )
% 2.85/3.24 , clause( 75, [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_RealDef_Oreal' ) )
% 2.85/3.24 ] )
% 2.85/3.24 , 0, clause( 14, [ ~( 'class_Orderings_Oorder'( X ) ),
% 2.85/3.24 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, T, X ) ), ~(
% 2.85/3.24 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ] )
% 2.85/3.24 , 1, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X,
% 2.85/3.24 'tc_RealDef_Oreal' ), :=( Y, X ), :=( Z, X ), :=( T, Y )] )).
% 2.85/3.24
% 2.85/3.24
% 2.85/3.24 resolution(
% 2.85/3.24 clause( 37747, [ ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ), ~(
% 2.85/3.24 'c_HOL_Oord__class_Oless'( Y, X, 'tc_RealDef_Oreal' ) ) ] )
% 2.85/3.24 , clause( 37746, [ ~( 'class_Orderings_Oorder'( 'tc_RealDef_Oreal' ) ), ~(
% 2.85/3.24 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ), ~(
% 2.85/3.24 'c_HOL_Oord__class_Oless'( Y, X, 'tc_RealDef_Oreal' ) ) ] )
% 2.85/3.24 , 0, clause( 899, [ 'class_Orderings_Oorder'( 'tc_RealDef_Oreal' ) ] )
% 2.85/3.24 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [] )
% 2.85/3.24 ).
% 2.85/3.24
% 2.85/3.24
% 2.85/3.24 subsumption(
% 2.85/3.24 clause( 1842, [ ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ), ~(
% 2.85/3.24 'c_HOL_Oord__class_Oless'( Y, X, 'tc_RealDef_Oreal' ) ) ] )
% 2.85/3.24 , clause( 37747, [ ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ), ~(
% 2.85/3.24 'c_HOL_Oord__class_Oless'( Y, X, 'tc_RealDef_Oreal' ) ) ] )
% 2.85/3.24 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.85/3.24 ), ==>( 1, 1 )] ) ).
% 2.85/3.24
% 2.85/3.24
% 2.85/3.24 resolution(
% 2.85/3.24 clause( 37749, [ 'c_lessequals'( 'c_NthRoot_Osqrt'(
% 2.85/3.24 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ) ),
% 2.85/3.24 'c_NthRoot_Osqrt'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ),
% 2.85/3.24 'tc_RealDef_Oreal' ), ~( 'class_Ring__and__Field_Oordered__ring__strict'(
% 2.85/3.24 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'(
% 2.85/3.24 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'(
% 2.85/3.24 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 2.85/3.24 ) ] )
% 2.85/3.24 , clause( 112, [ 'c_lessequals'( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'(
% 2.85/3.24 Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' )
% 2.85/3.24 ) ] )
% 2.85/3.24 , 1, clause( 201, [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X )
% 2.85/3.24 ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 2.85/3.24 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 2.85/3.24 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 2.85/3.24 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ] )
% 2.85/3.24 , 1, substitution( 0, [ :=( X, 'c_HOL_Otimes__class_Otimes'( X, Y,
% 2.85/3.24 'tc_RealDef_Oreal' ) ), :=( Y, 'c_HOL_Ozero__class_Ozero'(
% 2.85/3.24 'tc_RealDef_Oreal' ) )] ), substitution( 1, [ :=( X, 'tc_RealDef_Oreal' )
% 2.85/3.24 , :=( Y, X ), :=( Z, Y )] )).
% 2.85/3.24
% 2.85/3.24
% 2.85/3.24 paramod(
% 2.85/3.24 clause( 37753, [ 'c_lessequals'( 'c_NthRoot_Osqrt'(
% 2.85/3.24 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ) ),
% 2.85/3.24 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 2.85/3.24 ~( 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_RealDef_Oreal' )
% 2.85/3.24 ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 2.85/3.24 ), 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 2.85/3.24 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ] )
% 2.85/3.24 , clause( 595, [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Ozero__class_Ozero'(
% 2.85/3.24 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 2.85/3.24 ) ] )
% 2.85/3.24 , 0, clause( 37749, [ 'c_lessequals'( 'c_NthRoot_Osqrt'(
% 2.85/3.24 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ) ),
% 2.85/3.24 'c_NthRoot_Osqrt'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ),
% 2.85/3.24 'tc_RealDef_Oreal' ), ~( 'class_Ring__and__Field_Oordered__ring__strict'(
% 2.85/3.24 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'(
% 2.85/3.24 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'(
% 2.85/3.24 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 2.85/3.24 ) ] )
% 2.85/3.24 , 0, 6, substitution( 0, [] ), substitution( 1, [ :=( X, X ), :=( Y, Y )] )
% 2.85/3.24 ).
% 2.85/3.24
% 2.85/3.24
% 2.85/3.24 resolution(
% 2.85/3.24 clause( 37756, [ 'c_lessequals'( 'c_NthRoot_Osqrt'(
% 2.85/3.24 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ) ),
% 2.85/3.24 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 2.85/3.24 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 2.85/3.24 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 2.85/3.24 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ] )
% 2.85/3.24 , clause( 37753, [ 'c_lessequals'( 'c_NthRoot_Osqrt'(
% 2.85/3.24 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ) ),
% 2.85/3.24 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 2.85/3.24 ~( 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_RealDef_Oreal' )
% 2.85/3.24 ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 2.85/3.24 ), 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 2.85/3.24 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ] )
% 2.85/3.24 , 1, clause( 860, [ 'class_Ring__and__Field_Oordered__ring__strict'(
% 2.85/3.24 'tc_RealDef_Oreal' ) ] )
% 2.85/3.24 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] ), substitution( 1, [] )
% 2.85/3.24 ).
% 2.85/3.24
% 2.85/3.24
% 2.85/3.24 subsumption(
% 2.85/3.24 clause( 28068, [ ~( 'c_lessequals'( X, 'c_HOL_Ozero__class_Ozero'(
% 2.85/3.24 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'(
% 2.85/3.24 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 2.85/3.24 ), 'c_lessequals'( 'c_NthRoot_Osqrt'( 'c_HOL_Otimes__class_Otimes'( Y, X
% 2.85/3.24 , 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 2.85/3.24 ), 'tc_RealDef_Oreal' ) ] )
% 2.85/3.24 , clause( 37756, [ 'c_lessequals'( 'c_NthRoot_Osqrt'(
% 2.85/3.24 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ) ),
% 2.85/3.24 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 2.85/3.24 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 2.85/3.24 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 2.85/3.24 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ] )
% 2.85/3.24 , substitution( 0, [ :=( X, Y ), :=( Y, X )] ), permutation( 0, [ ==>( 0, 2
% 2.85/3.24 ), ==>( 1, 0 ), ==>( 2, 1 )] ) ).
% 2.85/3.24
% 2.85/3.24
% 2.85/3.24 factor(
% 2.85/3.24 clause( 37760, [ ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 2.85/3.24 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 2.85/3.24 'tc_RealDef_Oreal' ) ), 'c_lessequals'( 'c_NthRoot_Osqrt'(
% 2.85/3.24 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'(
% 2.85/3.24 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 2.85/3.24 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 2.85/3.24 , 'tc_RealDef_Oreal' ) ] )
% 2.85/3.24 , clause( 28068, [ ~( 'c_lessequals'( X, 'c_HOL_Ozero__class_Ozero'(
% 2.85/3.24 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'(
% 2.85/3.24 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 2.85/3.24 ), 'c_lessequals'( 'c_NthRoot_Osqrt'( 'c_HOL_Otimes__class_Otimes'( Y, X
% 2.85/3.24 , 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 2.85/3.24 ), 'tc_RealDef_Oreal' ) ] )
% 2.85/3.24 , 0, 1, substitution( 0, [ :=( X, 'c_HOL_Ozero__class_Ozero'(
% 2.85/3.24 'tc_RealDef_Oreal' ) ), :=( Y, 'c_HOL_Ozero__class_Ozero'(
% 2.85/3.24 'tc_RealDef_Oreal' ) )] )).
% 2.85/3.24
% 2.85/3.24
% 2.85/3.24 paramod(
% 2.85/3.24 clause( 37761, [ 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'(
% 2.85/3.24 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 2.85/3.24 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 2.85/3.24 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 2.85/3.24 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 2.85/3.24 ] )
% 2.85/3.24 , clause( 470, [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Otimes__class_Otimes'( X, X,
% 2.85/3.24 'tc_RealDef_Oreal' ) ), 'c_HOL_Oabs__class_Oabs'( X, 'tc_RealDef_Oreal' )
% 2.85/3.24 ) ] )
% 2.85/3.24 , 0, clause( 37760, [ ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 2.85/3.24 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 2.85/3.24 'tc_RealDef_Oreal' ) ), 'c_lessequals'( 'c_NthRoot_Osqrt'(
% 2.85/3.24 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'(
% 2.85/3.24 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 2.85/3.24 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 2.85/3.24 , 'tc_RealDef_Oreal' ) ] )
% 2.85/3.24 , 1, 1, substitution( 0, [ :=( X, 'c_HOL_Ozero__class_Ozero'(
% 2.85/3.24 'tc_RealDef_Oreal' ) )] ), substitution( 1, [] )).
% 2.85/3.24
% 2.85/3.24
% 2.85/3.24 paramod(
% 2.85/3.24 clause( 37762, [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'(
% 2.85/3.24 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 2.85/3.24 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 2.85/3.24 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 2.85/3.24 'tc_RealDef_Oreal' ) ) ] )
% 2.85/3.24 , clause( 770, [ =( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'(
% 2.85/3.24 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'(
% 2.85/3.24 'tc_RealDef_Oreal' ) ) ] )
% 2.85/3.24 , 0, clause( 37761, [ 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'(
% 2.85/3.24 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 2.85/3.24 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 2.85/3.24 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 2.85/3.24 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 2.85/3.24 ] )
% 2.85/3.24 , 0, 1, substitution( 0, [] ), substitution( 1, [] )).
% 2.85/3.24
% 2.85/3.24
% 2.85/3.24 resolution(
% 2.85/3.24 clause( 37763, [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'(
% 2.85/3.24 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 2.85/3.24 'tc_RealDef_Oreal' ) ] )
% 2.85/3.24 , clause( 37762, [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'(
% 2.85/3.24 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 2.85/3.24 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 2.85/3.24 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 2.85/3.24 'tc_RealDef_Oreal' ) ) ] )
% 2.85/3.24 , 1, clause( 7, [ 'c_lessequals'( X, X, 'tc_RealDef_Oreal' ) ] )
% 2.85/3.24 , 0, substitution( 0, [] ), substitution( 1, [ :=( X,
% 2.85/3.24 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) )] )).
% 2.85/3.24
% 2.85/3.24
% 2.85/3.24 subsumption(
% 2.85/3.24 clause( 28207, [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'(
% 2.85/3.24 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 2.85/3.24 'tc_RealDef_Oreal' ) ] )
% 2.85/3.24 , clause( 37763, [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'(
% 2.85/3.24 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 2.85/3.24 'tc_RealDef_Oreal' ) ] )
% 2.85/3.24 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.85/3.24
% 2.85/3.24
% 2.85/3.24 resolution(
% 2.85/3.24 clause( 37764, [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 2.85/3.24 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 2.85/3.24 'tc_RealDef_Oreal' ) ) ] )
% 2.85/3.24 , clause( 1842, [ ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ), ~(
% 2.85/3.24 'c_HOL_Oord__class_Oless'( Y, X, 'tc_RealDef_Oreal' ) ) ] )
% 2.85/3.24 , 0, clause( 28207, [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'(
% 2.85/3.24 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 2.85/3.24 'tc_RealDef_Oreal' ) ] )
% 2.85/3.24 , 0, substitution( 0, [ :=( X, 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal'
% 2.85/3.24 ) ), :=( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) )] ),
% 2.85/3.24 substitution( 1, [] )).
% 2.85/3.24
% 2.85/3.24
% 2.85/3.24 subsumption(
% 2.85/3.24 clause( 28214, [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 2.85/3.24 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 2.85/3.24 'tc_RealDef_Oreal' ) ) ] )
% 2.85/3.24 , clause( 37764, [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 2.85/3.24 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 2.85/3.24 'tc_RealDef_Oreal' ) ) ] )
% 2.85/3.24 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.85/3.24
% 2.85/3.24
% 2.85/3.24 resolution(
% 2.85/3.24 clause( 37766, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 2.85/3.24 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 2.85/3.24 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 2.85/3.24 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 2.85/3.24 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'(
% 2.85/3.24 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ),
% 2.85/3.24 'tc_RealDef_Oreal' ) ) ] )
% 2.85/3.24 , clause( 28214, [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 2.85/3.24 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 2.85/3.24 'tc_RealDef_Oreal' ) ) ] )
% 2.85/3.24 , 0, clause( 171, [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'(
% 2.85/3.24 X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 2.85/3.24 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) )
% 2.85/3.24 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 2.85/3.24 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ] )
% 2.85/3.24 , 1, substitution( 0, [] ), substitution( 1, [ :=( X, 'tc_RealDef_Oreal' )
% 2.85/3.24 , :=( Y, 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ), :=( Z, X )] )
% 2.85/3.24 ).
% 2.85/3.24
% 2.85/3.24
% 2.85/3.24 paramod(
% 2.85/3.24 clause( 37767, [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 2.85/3.24 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), ~(
% 2.85/3.24 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_RealDef_Oreal' )
% 2.85/3.24 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 2.85/3.24 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ] )
% 2.85/3.24 , clause( 755, [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'(
% 2.85/3.24 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), X ) ] )
% 2.85/3.24 , 0, clause( 37766, [ ~(
% 2.85/3.24 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_RealDef_Oreal' )
% 2.85/3.24 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 2.85/3.24 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), ~(
% 2.85/3.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 2.85/3.24 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'(
% 2.85/3.24 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ]
% 2.85/3.24 )
% 2.85/3.24 , 2, 4, substitution( 0, [ :=( X, X )] ), substitution( 1, [ :=( X, X )] )
% 2.85/3.24 ).
% 2.85/3.24
% 2.85/3.24
% 2.85/3.24 resolution(
% 2.85/3.24 clause( 37769, [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 2.85/3.24 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), ~(
% 2.85/3.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 2.85/3.24 ), X, 'tc_RealDef_Oreal' ) ) ] )
% 2.85/3.24 , clause( 37767, [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 2.85/3.24 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), ~(
% 2.85/3.24 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_RealDef_Oreal' )
% 2.85/3.24 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 2.85/3.24 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ] )
% 2.85/3.24 , 1, clause( 853, [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 2.85/3.24 'tc_RealDef_Oreal' ) ] )
% 2.85/3.24 , 0, substitution( 0, [ :=( X, X )] ), substitution( 1, [] )).
% 2.85/3.24
% 2.85/3.24
% 2.85/3.24 factor(
% 2.85/3.24 clause( 37770, [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 2.85/3.24 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ] )
% 2.85/3.24 , clause( 37769, [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 2.85/3.24 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), ~(
% 2.85/3.24 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 2.85/3.24 ), X, 'tc_RealDef_Oreal' ) ) ] )
% 2.85/3.24 , 0, 1, substitution( 0, [ :=( X, X )] )).
% 2.85/3.24
% 2.85/3.24
% 2.85/3.24 subsumption(
% 2.85/3.24 clause( 28235, [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 2.85/3.24 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ] )
% 2.85/3.24 , clause( 37770, [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 2.85/3.24 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ] )
% 2.85/3.24 , substitution( 0, [ :=( X, X )] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.85/3.24
% 2.85/3.24
% 2.85/3.24 resolution(
% 2.85/3.24 clause( 37771, [] )
% 2.85/3.24 , clause( 28235, [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 2.85/3.24 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ] )
% 2.85/3.24 , 0, clause( 154, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 2.85/3.24 'tc_RealDef_Oreal' ), 'c_HOL_Oplus__class_Oplus'(
% 2.85/3.24 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'c_HOL_Oabs__class_Oabs'(
% 2.85/3.24 X, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ] )
% 2.85/3.24 , 0, substitution( 0, [ :=( X, 'c_HOL_Oplus__class_Oplus'(
% 2.85/3.24 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'c_HOL_Oabs__class_Oabs'(
% 2.85/3.24 X, 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )] ), substitution( 1, [
% 2.85/3.24 :=( X, X )] )).
% 2.85/3.24
% 2.85/3.24
% 2.85/3.24 subsumption(
% 2.85/3.24 clause( 28248, [] )
% 2.85/3.24 , clause( 37771, [] )
% 2.85/3.24 , substitution( 0, [] ), permutation( 0, [] ) ).
% 2.85/3.24
% 2.85/3.24
% 2.85/3.24 end.
% 2.85/3.24
% 2.85/3.24 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 2.85/3.24
% 2.85/3.24 Memory use:
% 2.85/3.24
% 2.85/3.24 space for terms: 851998
% 2.85/3.24 space for clauses: 1410501
% 2.85/3.24
% 2.85/3.24
% 2.85/3.24 clauses generated: 118955
% 2.85/3.24 clauses kept: 28249
% 2.85/3.24 clauses selected: 966
% 2.85/3.24 clauses deleted: 848
% 2.85/3.24 clauses inuse deleted: 6
% 2.85/3.24
% 2.85/3.24 subsentry: 382520
% 2.85/3.24 literals s-matched: 219152
% 2.85/3.24 literals matched: 212674
% 2.85/3.24 full subsumption: 111236
% 2.85/3.24
% 2.85/3.24 checksum: -1116098096
% 2.85/3.24
% 2.85/3.24
% 2.85/3.24 Bliksem ended
%------------------------------------------------------------------------------