TSTP Solution File: SWV646-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV646-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n027.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 16:27:25 EDT 2022
% Result : Timeout 300.06s 300.49s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.14 % Problem : SWV646-1 : TPTP v8.1.0. Released v4.1.0.
% 0.05/0.15 % Command : bliksem %s
% 0.14/0.37 % Computer : n027.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % DateTime : Tue Jun 14 23:19:18 EDT 2022
% 0.14/0.37 % CPUTime :
% 1.44/1.82 *** allocated 10000 integers for termspace/termends
% 1.44/1.82 *** allocated 10000 integers for clauses
% 1.44/1.82 *** allocated 10000 integers for justifications
% 1.44/1.82 *** allocated 15000 integers for termspace/termends
% 1.44/1.82 *** allocated 22500 integers for termspace/termends
% 1.44/1.82 *** allocated 33750 integers for termspace/termends
% 1.44/1.82 *** allocated 50625 integers for termspace/termends
% 1.44/1.82 Bliksem 1.12
% 1.44/1.82
% 1.44/1.82
% 1.44/1.82 Automatic Strategy Selection
% 1.44/1.82
% 1.44/1.82 Clauses:
% 1.44/1.82 [
% 1.44/1.82 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.44/1.82 'c_COMBB'( Y, 'c_Suc', 'tc_nat', X, 'tc_nat' ), Z, X ), ~(
% 1.44/1.82 'c_SEQ_OLIMSEQ'( Y, Z, X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.44/1.82 , hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ) ), hAPP(
% 1.44/1.82 'c_HOL_Oabs__class_Oabs'( X ), Z ) ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Z ), U, X
% 1.44/1.82 ) ), ~( 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ),
% 1.44/1.82 Y ), T, X ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.44/1.82 'c_lessequals'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y
% 1.44/1.82 ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Z ) ) ), hAPP(
% 1.44/1.82 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.44/1.82 X ), Y ), Z ) ), X ) ],
% 1.44/1.82 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.82 'tc_nat' ) ), 'tc_nat' ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.44/1.82 , 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.44/1.82 , 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.44/1.82 'class_Int_Onumber__ring'( X ) ), =( hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.44/1.82 , 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.44/1.82 Y, X ) ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.82 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.44/1.82 ), X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), Y ), hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), =( Z,
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.44/1.82 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), U )
% 1.44/1.82 , X ), ~( 'c_HOL_Oord__class_Oless'( U, Z, X ) ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U, X ) ), ~(
% 1.44/1.82 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.44/1.82 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ), X ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ), ~( 'c_lessequals'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( T, Z, X ) )
% 1.44/1.82 ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.44/1.82 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ), X ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ), ~( 'c_lessequals'( Y
% 1.44/1.82 , 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, T, X ) )
% 1.44/1.82 ],
% 1.44/1.82 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.44/1.82 'c_Set_Oimage'( Y, Z, T, X ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 1.44/1.82 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.44/1.82 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP(
% 1.44/1.82 'c_HOL_Oabs__class_Oabs'( X ), Y ), Z, X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'c_lessequals'(
% 1.44/1.82 hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y
% 1.44/1.82 ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Z ) ), X ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.44/1.82 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ), ~( 'c_lessequals'( Z, Y, X
% 1.44/1.82 ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.44/1.82 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 1.44/1.82 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.44/1.82 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBB'(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), Z, X, X, Y ), T, hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), U ), Y, X ), ~( 'c_Lim_OLIM'( Z, T,
% 1.44/1.82 U, Y, X ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc'
% 1.44/1.82 , hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ),
% 1.44/1.82 'c_Divides_Odiv__class_Odiv'( X, hAPP( 'c_Suc', hAPP( 'c_Suc',
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat' ) ), X ), ~(
% 1.44/1.82 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.44/1.82 [ 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Suc', hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), 'tc_nat' ) ],
% 1.44/1.82 [ 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Suc', hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ) ), 'tc_nat' ) ],
% 1.44/1.82 [ 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Suc', hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), 'tc_nat' ) ],
% 1.44/1.82 [ ~( 'class_Orderings_Obot'( X ) ), 'c_lessequals'(
% 1.44/1.82 'c_Orderings_Obot__class_Obot'( X ), Y, X ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.44/1.82 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP(
% 1.44/1.82 'c_HOL_Oabs__class_Oabs'( X ), Y ) ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.44/1.82 ) ],
% 1.44/1.82 [ 'c_Fun_Oinj__on'( 'c_Suc', X, 'tc_nat', 'tc_nat' ) ],
% 1.44/1.82 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 1.44/1.82 'tc_fun'( Z, 'tc_bool' ) ) ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( 'c_Suc'
% 1.44/1.82 , X ) ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), X ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.44/1.82 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.44/1.82 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.44/1.82 [ =( 'c_SetInterval_Oord__class_OatLeastLessThan'( X, hAPP( 'c_Suc', X )
% 1.44/1.82 , 'tc_nat' ), 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 1.44/1.82 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_nat' ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.44/1.82 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastAtMost'( Z
% 1.44/1.82 , hAPP( 'c_Suc', T ), 'tc_nat' ), 'tc_nat', X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), 'c_Finite__Set_Osetsum'( Y,
% 1.44/1.82 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, 'tc_nat' ), 'tc_nat', X
% 1.44/1.82 ) ), hAPP( Y, hAPP( 'c_Suc', T ) ) ) ), 'c_HOL_Oord__class_Oless'( hAPP(
% 1.44/1.82 'c_Suc', T ), Z, 'tc_nat' ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.44/1.82 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.44/1.82 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T
% 1.44/1.82 ), Z, X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.44/1.82 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.44/1.82 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z
% 1.44/1.82 ), X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.44/1.82 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), T, X ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.44/1.82 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T )
% 1.44/1.82 , Z ), X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.44/1.82 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.44/1.82 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ),
% 1.44/1.82 Z, X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.44/1.82 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), ~(
% 1.44/1.82 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z
% 1.44/1.82 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.44/1.82 , Z, X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 1.44/1.82 , hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.44/1.82 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ),
% 1.44/1.82 Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.44/1.82 T, X ) ) ],
% 1.44/1.82 [ =( 'c_Divides_Odiv__class_Odiv'( X, Y, 'tc_nat' ),
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X
% 1.44/1.82 , Y, 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 1.44/1.82 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 1.44/1.82 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =( hAPP(
% 1.44/1.82 'c_HOL_Oabs__class_Oabs'( X ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.44/1.82 X ), Y ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.82 X ), X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =( hAPP(
% 1.44/1.82 'c_HOL_Oabs__class_Oabs'( X ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.44/1.82 X ), Y ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.82 X ), X ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP(
% 1.44/1.82 'c_HOL_Oabs__class_Oabs'( X ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.44/1.82 X ), Y ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.82 X ), X ) ) ],
% 1.44/1.82 [ =( 'c_Divides_Odiv__class_Odiv'( X, Y, 'tc_nat' ), hAPP( 'c_Suc',
% 1.44/1.82 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.44/1.82 'tc_nat' ), X ), Y ), Y, 'tc_nat' ) ) ), 'c_HOL_Oord__class_Oless'( X, Y
% 1.44/1.82 , 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.82 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 1.44/1.82 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ) ],
% 1.44/1.82 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_SEQ_OLIMSEQ'( Y, Z, X
% 1.44/1.82 ), ~( 'c_SEQ_OLIMSEQ'( 'c_COMBB'( Y, 'c_Suc', 'tc_nat', X, 'tc_nat' ), Z
% 1.44/1.82 , X ) ) ],
% 1.44/1.82 [ =( 'c_Divides_Odiv__class_Omod'( hAPP( 'c_Suc', X ), Y, 'tc_nat' ),
% 1.44/1.82 hAPP( 'c_Suc', 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ) ) ), =(
% 1.44/1.82 hAPP( 'c_Suc', 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ) ), Y ) ]
% 1.44/1.82 ,
% 1.44/1.82 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.44/1.82 'c_Series_Osuminf'( 'c_COMBC'( 'c_COMBB'( 'c_HOL_Oinverse__class_Odivide'(
% 1.44/1.82 X ), Y, X, 'tc_fun'( X, X ), 'tc_nat' ), Z, 'tc_nat', X, X ), X ), hAPP(
% 1.44/1.82 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), 'c_Series_Osuminf'( Y, X ) )
% 1.44/1.82 , Z ) ), ~( 'c_Series_Osummable'( Y, X ) ) ],
% 1.44/1.82 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Lim_OLIM'(
% 1.44/1.82 'c_COMBC'( 'c_HOL_Oinverse__class_Odivide'( X ), Y, X, X, X ), Z, hAPP(
% 1.44/1.82 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ), X, X ) ],
% 1.44/1.82 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.44/1.82 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.44/1.82 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.44/1.82 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ), X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ), Y ), Z ) ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ), X ), hAPP(
% 1.44/1.82 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ), Y ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ), X ), Z ) ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.44/1.82 'c_lessequals'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y )
% 1.44/1.82 ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Z ) ), X ) ],
% 1.44/1.82 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, Z, T ), T ),
% 1.44/1.82 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, Z, T ), T ) ) ],
% 1.44/1.82 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.44/1.82 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.44/1.82 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.44/1.82 , X ), 'c_lessequals'( Z, Y, X ) ],
% 1.44/1.82 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 1.44/1.82 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 1.44/1.82 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 1.44/1.82 , X ), 'c_lessequals'( Y, Y, X ) ],
% 1.44/1.82 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.44/1.82 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.44/1.82 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 1.44/1.82 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.44/1.82 , X ), 'c_lessequals'( Z, Y, X ) ],
% 1.44/1.82 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.44/1.82 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ), X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ), X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ) ), =( Z, T ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( X ), T ), T ) ) ), =( Y, Z ) ],
% 1.44/1.82 [ ~( =( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), U ) ), hAPP( hAPP( X, Y
% 1.44/1.82 ), hAPP( hAPP( Z, T ), W ) ) ) ), =( U, W ), =( T, V0 ), ~(
% 1.44/1.82 'c_Groebner__Basis_Osemiringb'( X, Z, V1, V0, V2, V3 ) ) ],
% 1.44/1.82 [ ~( =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), hAPP( hAPP( Y, U ), W
% 1.44/1.82 ) ), hAPP( hAPP( X, hAPP( hAPP( Y, Z ), W ) ), hAPP( hAPP( Y, U ), T ) )
% 1.44/1.82 ) ), ~( 'c_Groebner__Basis_Osemiringb'( X, Y, V0, V1, V2, V3 ) ), =( T,
% 1.44/1.82 W ), =( Z, U ) ],
% 1.44/1.82 [ ~( =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), hAPP( hAPP( Y, U ), W
% 1.44/1.82 ) ), hAPP( hAPP( X, hAPP( hAPP( Y, Z ), W ) ), hAPP( hAPP( Y, U ), T ) )
% 1.44/1.82 ) ), =( T, W ), =( Z, U ), ~( 'c_Groebner__Basis_Osemiringb'( X, Y, V0,
% 1.44/1.82 V1, V2, V3 ) ) ],
% 1.44/1.82 [ =( 'c_Set_Oimage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.44/1.82 'tc_bool' ) ), Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.44/1.82 'tc_bool' ) ) ) ],
% 1.44/1.82 [ =( X, hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X
% 1.44/1.82 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.82 X, hAPP( 'c_Suc', hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 1.44/1.82 ), 'tc_nat' ) ) ],
% 1.44/1.82 [ 'c_Fun_Oinj__on'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.44/1.82 'tc_bool' ) ), Y, Z ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ],
% 1.44/1.82 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), Z ), hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ) ],
% 1.44/1.82 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ), 'tc_nat' ),
% 1.44/1.82 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ),
% 1.44/1.82 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.44/1.82 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), ~(
% 1.44/1.82 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), ~(
% 1.44/1.82 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.44/1.82 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.44/1.82 hAPP( 'c_Suc', X ), 'tc_nat' ) ],
% 1.44/1.82 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.44/1.82 hAPP( 'c_Suc', X ), 'tc_nat' ) ],
% 1.44/1.82 [ ~( =( 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 1.44/1.82 , 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'(
% 1.44/1.82 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ), =( X, Z ) ],
% 1.44/1.82 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 1.44/1.82 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Y, X ), 'c_Set_Oinsert'( Y
% 1.44/1.82 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ) ]
% 1.44/1.82 ,
% 1.44/1.82 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Z ) ), Y ) ) ],
% 1.44/1.82 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'(
% 1.44/1.82 'tc_nat' ) ), 'tc_nat' ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'( X,
% 1.44/1.82 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.82 'tc_nat' ), X, 'tc_nat' ) ) ],
% 1.44/1.82 [ 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ),
% 1.44/1.82 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'(
% 1.44/1.82 'tc_nat' ) ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ) ],
% 1.44/1.82 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.82 'tc_nat' ), hAPP( 'c_Suc', Z ) ), X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc', Z ) ), Y ),
% 1.44/1.82 'tc_nat' ) ) ],
% 1.44/1.82 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.82 'tc_nat' ), hAPP( 'c_Suc', X ) ), Y ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc', X ) ), Z ),
% 1.44/1.82 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 1.44/1.82 [ 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', X ), Y, 'tc_nat' ), =( hAPP(
% 1.44/1.82 'c_Suc', X ), Y ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ]
% 1.44/1.82 ,
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.44/1.82 , Y ) ), Z ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ) )
% 1.44/1.82 , ~( 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 1.44/1.82 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.44/1.82 'tc_nat' ), 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.44/1.82 [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), T ) ), ~( hBOOL( hAPP( Y, T )
% 1.44/1.82 ) ) ],
% 1.44/1.82 [ ~( =( hAPP( 'c_Suc', 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ) )
% 1.44/1.82 , Y ) ), =( 'c_Divides_Odiv__class_Omod'( hAPP( 'c_Suc', X ), Y, 'tc_nat'
% 1.44/1.82 ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X )
% 1.44/1.82 , Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.44/1.82 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.44/1.82 X ), T ), Y ) ), Z, X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP(
% 1.44/1.82 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.44/1.82 , Y ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Z ) ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP(
% 1.44/1.82 'c_HOL_Oabs__class_Oabs'( X ), Y ), Y ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.44/1.82 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OMin',
% 1.44/1.82 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Int_OMin',
% 1.44/1.82 'tc_Int_Oint' ) ) ],
% 1.44/1.82 [ 'c_HOL_Oord__class_Oless'( X, 'c_Int_OMin', 'tc_Int_Oint' ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OMin',
% 1.44/1.82 'tc_Int_Oint' ) ) ],
% 1.44/1.82 [ =( 'c_Divides_Odiv__class_Odiv'( X, Y, 'tc_nat' ),
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X
% 1.44/1.82 , Y, 'tc_nat' ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.44/1.82 ), Z ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.44/1.82 ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.44/1.82 ), Z ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.44/1.82 ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.44/1.82 [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_Orderings_Obot__class_Obot'(
% 1.44/1.82 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.44/1.82 Y, Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 1.44/1.82 [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 1.44/1.82 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.44/1.82 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ) ) ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.44/1.82 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Lim_OLIM'(
% 1.44/1.82 'c_COMBS'( 'c_COMBB'( 'c_HOL_Oinverse__class_Odivide'( X ), 'c_COMBC'(
% 1.44/1.82 'c_COMBB'( 'c_HOL_Ominus__class_Ominus'( X ), Y, X, 'tc_fun'( X, X ), X )
% 1.44/1.82 , hAPP( Y, Z ), X, X, X ), X, 'tc_fun'( X, X ), X ), 'c_COMBC'(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( X ), Z, X, X, X ), X, X, X ), Z, T, X, X )
% 1.44/1.82 , ~( 'c_Deriv_Oderiv'( Y, Z, T, X ) ) ],
% 1.44/1.82 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'( Y
% 1.44/1.82 , Z, T, X ), ~( 'c_Lim_OLIM'( 'c_COMBS'( 'c_COMBB'(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), 'c_COMBC'( 'c_COMBB'(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( X ), Y, X, 'tc_fun'( X, X ), X ), hAPP( Y,
% 1.44/1.82 Z ), X, X, X ), X, 'tc_fun'( X, X ), X ), 'c_COMBC'(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( X ), Z, X, X, X ), X, X, X ), Z, T, X, X )
% 1.44/1.82 ) ],
% 1.44/1.82 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ), ~(
% 1.44/1.82 'c_Parity_Oeven__odd__class_Oeven'( hAPP( 'c_Suc', X ), 'tc_nat' ) ) ]
% 1.44/1.82 ,
% 1.44/1.82 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( 'c_Suc', X ), 'tc_nat' ),
% 1.44/1.82 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.44/1.82 [ =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.44/1.82 'c_Set_Oimage'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool'
% 1.44/1.82 ) ), Z, X ) ) ],
% 1.44/1.82 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP(
% 1.44/1.82 'c_HOL_Oabs__class_Oabs'( X ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.44/1.82 X ), Y ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.44/1.82 ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( X ), Y ), hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.44/1.82 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.44/1.82 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( Z,
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.44/1.82 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), ~(
% 1.44/1.82 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'( Z,
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), Y, X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP(
% 1.44/1.82 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T, X ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.44/1.82 , Z ), T ), X ) ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ), Y, X ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.44/1.82 X ), Y ) ), Y ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y, hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.44/1.82 X ), Y ) ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y, hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.44/1.82 X ), Y ) ) ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.44/1.82 X ), Y ) ), Y ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.44/1.82 X ), Y ) ), Y ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( X ), Z ), Y ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.44/1.82 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 1.44/1.82 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 1.44/1.82 ,
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.44/1.82 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ]
% 1.44/1.82 ,
% 1.44/1.82 [ 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', X ), hAPP( 'c_Suc', Y ),
% 1.44/1.82 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.44/1.82 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', X ), hAPP( 'c_Suc', Y ),
% 1.44/1.82 'tc_nat' ) ) ],
% 1.44/1.82 [ 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', X ), hAPP( 'c_Suc', Y ),
% 1.44/1.82 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.44/1.82 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), Y, X ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.44/1.82 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), Y, X ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.44/1.82 Z ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.44/1.82 Z ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.44/1.82 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z, X ),
% 1.44/1.82 ~( 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), Y, X )
% 1.44/1.82 ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.44/1.82 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z, X ),
% 1.44/1.82 ~( 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), Y, X )
% 1.44/1.82 ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.44/1.82 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ),
% 1.44/1.82 ~( 'c_lessequals'( Z, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X )
% 1.44/1.82 ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.44/1.82 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ),
% 1.44/1.82 ~( 'c_lessequals'( Z, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X )
% 1.44/1.82 ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.44/1.82 ) ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~( =(
% 1.44/1.82 hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.44/1.82 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), =( hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.44/1.82 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.44/1.82 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.44/1.82 'c_Divides_Odiv__class_Omod'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.44/1.82 ) ],
% 1.44/1.82 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.44/1.82 'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.44/1.82 ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.44/1.82 ,
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.44/1.82 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Oabs__class_Oabs'( X
% 1.44/1.82 ), Y ), Z, X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.44/1.82 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.44/1.82 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ),
% 1.44/1.82 Y, X ) ), ~( 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.82 X ), T ), Z ), X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.44/1.82 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.44/1.82 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T
% 1.44/1.82 ), X ) ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.44/1.82 ), Y ), T ), Z, X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.44/1.82 , Y ) ), Z ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 1.44/1.82 ,
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.44/1.82 , hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.44/1.82 [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 1.44/1.82 ) ), Y ) ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( Y,
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( hAPP(
% 1.44/1.82 'c_HOL_Oabs__class_Oabs'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.44/1.82 ) ],
% 1.44/1.82 [ =( 'c_Set_Oimage'( 'c_Suc', 'c_SetInterval_Oord__class_OatLeastAtMost'(
% 1.44/1.82 X, Y, 'tc_nat' ), 'tc_nat', 'tc_nat' ),
% 1.44/1.82 'c_SetInterval_Oord__class_OatLeastAtMost'( hAPP( 'c_Suc', X ), hAPP(
% 1.44/1.82 'c_Suc', Y ), 'tc_nat' ) ) ],
% 1.44/1.82 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 1.44/1.82 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 1.44/1.82 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 1.44/1.82 'c_lessequals'( Z, Y, X ) ) ],
% 1.44/1.82 [ =( 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ), X ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ),
% 1.44/1.82 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP(
% 1.44/1.82 'c_HOL_Oabs__class_Oabs'( X ), T ) ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), Z, X ) ) ],
% 1.44/1.82 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 1.44/1.82 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 1.44/1.82 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), =( Y, Z ) ],
% 1.44/1.82 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =( hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), =( Y, Z ) ],
% 1.44/1.82 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.44/1.82 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.44/1.82 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.44/1.82 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 1.44/1.82 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.44/1.82 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.44/1.82 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 1.44/1.82 Y, X, 'tc_nat' ), =( Y, X ) ],
% 1.44/1.82 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), 'c_HOL_Oord__class_Oless'( Y, Z,
% 1.44/1.82 'tc_nat' ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ],
% 1.44/1.82 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( Y, Z ), ~(
% 1.44/1.82 'c_Deriv_Oderiv'( T, U, Z, X ) ), ~( 'c_Deriv_Oderiv'( T, U, Y, X ) ) ]
% 1.44/1.82 ,
% 1.44/1.82 [ ~( 'class_RealVector_Ometric__space'( X ) ), =( Y, Z ), ~(
% 1.44/1.82 'c_SEQ_OLIMSEQ'( T, Z, X ) ), ~( 'c_SEQ_OLIMSEQ'( T, Y, X ) ) ],
% 1.44/1.82 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ), =( Y, X ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Y, X, 'tc_Int_Oint' ) ],
% 1.44/1.82 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 1.44/1.82 Y, X, 'tc_nat' ), =( Y, X ) ],
% 1.44/1.82 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 1.44/1.82 'class_RealVector_Oreal__normed__algebra__1'( Y ) ), =( Z, T ), ~(
% 1.44/1.82 'c_Lim_OLIM'( U, W, T, Y, X ) ), ~( 'c_Lim_OLIM'( U, W, Z, Y, X ) ) ]
% 1.44/1.82 ,
% 1.44/1.82 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 1.44/1.82 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.44/1.82 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.44/1.82 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 1.44/1.82 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.44/1.82 ) ],
% 1.44/1.82 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.44/1.82 ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.44/1.82 ), =( Z, Y ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP(
% 1.44/1.82 'c_HOL_Oabs__class_Oabs'( X ), Y ), Y ), ~( 'c_lessequals'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.44/1.82 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ), hAPP( hAPP(
% 1.44/1.82 'c_Power_Opower__class_Opower'( X ), T ), Z ), X ), ~( 'c_lessequals'(
% 1.44/1.82 hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ), hAPP( 'c_HOL_Oabs__class_Oabs'(
% 1.44/1.82 X ), T ), X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ]
% 1.44/1.82 ,
% 1.44/1.82 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 1.44/1.82 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 1.44/1.82 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 1.44/1.82 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( Y, U ) ],
% 1.44/1.82 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 1.44/1.82 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 1.44/1.82 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 1.44/1.82 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( Y, U ) ],
% 1.44/1.82 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 1.44/1.82 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 1.44/1.82 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 1.44/1.82 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( X, T ) ],
% 1.44/1.82 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 1.44/1.82 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 1.44/1.82 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 1.44/1.82 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( X, T ) ],
% 1.44/1.82 [ 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', X ), Y, 'tc_nat' ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 1.44/1.82 [ 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Suc', X ), 'tc_nat' ) ],
% 1.44/1.82 [ 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Suc', X ), 'tc_nat' ) ],
% 1.44/1.82 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, Y ), T ) ), hAPP( hAPP( Z, Y ),
% 1.44/1.82 hAPP( 'c_Suc', T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, Z, W
% 1.44/1.82 , V0, V1 ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), Z ), hAPP( hAPP( Y, Z ),
% 1.44/1.82 hAPP( 'c_Suc', T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, Y, W
% 1.44/1.82 , V0, V1 ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( X, Y ), hAPP( 'c_Suc', Z ) ), hAPP( hAPP( T, Y ), hAPP(
% 1.44/1.82 hAPP( X, Y ), Z ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, T, X, W,
% 1.44/1.82 V0, V1 ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( X, Y ), hAPP( 'c_Suc', Z ) ), hAPP( hAPP( T, Y ), hAPP(
% 1.44/1.82 hAPP( X, Y ), Z ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, T, X, W,
% 1.44/1.82 V0, V1 ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.82 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.44/1.82 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.44/1.82 ), X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.44/1.82 , X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.44/1.82 ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.82 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X
% 1.44/1.82 ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.44/1.82 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z
% 1.44/1.82 ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.44/1.82 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.44/1.82 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ),
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.44/1.82 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ),
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.82 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X
% 1.44/1.82 ), Y, X ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'(
% 1.44/1.82 Z, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.44/1.82 ), X ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.44/1.82 X ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.82 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.44/1.82 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~( 'c_lessequals'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'(
% 1.44/1.82 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.44/1.82 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.44/1.82 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.82 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.82 X ), X ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'(
% 1.44/1.82 Z, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.44/1.82 ), X ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), T ),
% 1.44/1.82 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.82 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.44/1.82 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~( 'c_lessequals'( Y,
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.44/1.82 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.44/1.82 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.44/1.82 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.44/1.82 [ ~( =( 'c_Divides_Odiv__class_Omod'( X, hAPP( 'c_Suc', hAPP( 'c_Suc',
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat' ),
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ),
% 1.44/1.82 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.44/1.82 [ =( 'c_Divides_Odiv__class_Omod'( X, hAPP( 'c_Suc', hAPP( 'c_Suc',
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat' ),
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~(
% 1.44/1.82 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ), Z, X
% 1.44/1.82 ), ~( 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.44/1.82 ), Y ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.44/1.82 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z, X ),
% 1.44/1.82 ~( 'c_lessequals'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ), Z, X ) ) ]
% 1.44/1.82 ,
% 1.44/1.82 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( X ), 'c_Series_Osuminf'( Y, X ) ),
% 1.44/1.82 'c_Series_Osuminf'( Z, X ) ), 'c_Series_Osuminf'( 'c_COMBS'( 'c_COMBB'(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( X ), Y, X, 'tc_fun'( X, X ), 'tc_nat' ), Z
% 1.44/1.82 , 'tc_nat', X, X ), X ) ), ~( 'c_Series_Osummable'( Z, X ) ), ~(
% 1.44/1.82 'c_Series_Osummable'( Y, X ) ) ],
% 1.44/1.82 [ =( 'c_Set_Oimage'( 'c_Suc',
% 1.44/1.82 'c_SetInterval_Oord__class_OatLeastLessThan'( X, Y, 'tc_nat' ), 'tc_nat'
% 1.44/1.82 , 'tc_nat' ), 'c_SetInterval_Oord__class_OatLeastLessThan'( hAPP( 'c_Suc'
% 1.44/1.82 , X ), hAPP( 'c_Suc', Y ), 'tc_nat' ) ) ],
% 1.44/1.82 [ =( 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ),
% 1.44/1.82 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.44/1.82 'tc_nat' ), X ), Y ), Y, 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'( X, Y,
% 1.44/1.82 'tc_nat' ) ],
% 1.44/1.82 [ ~( =( X, hAPP( 'c_Suc', X ) ) ) ],
% 1.44/1.82 [ ~( =( hAPP( 'c_Suc', X ), X ) ) ],
% 1.44/1.82 [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 1.44/1.82 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 1.44/1.82 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.44/1.82 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 1.44/1.82 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 1.44/1.82 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 1.44/1.82 [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Orderings_Obot__class_Obot'(
% 1.44/1.82 'tc_fun'( T, 'tc_bool' ) ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 1.44/1.82 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.44/1.82 [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 1.44/1.82 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 1.44/1.82 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), ~(
% 1.44/1.82 'c_lessequals'( Y, Z, X ) ) ],
% 1.44/1.82 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 1.44/1.82 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 1.44/1.82 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.44/1.82 'c_lessequals'( Y, Z, X ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ), X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ), X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.44/1.82 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.44/1.82 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.44/1.82 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ), hAPP( hAPP(
% 1.44/1.82 'c_Power_Opower__class_Opower'( X ), T ), Z ), X ), ~( 'c_lessequals'( Y
% 1.44/1.82 , T, X ) ), 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.44/1.82 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.44/1.82 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ), 'tc_nat'
% 1.44/1.82 ), ~( 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ) ],
% 1.44/1.82 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP(
% 1.44/1.82 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), X ), 'tc_nat' ) ) ]
% 1.44/1.82 ,
% 1.44/1.82 [ 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Suc', Y ), 'tc_nat' ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.44/1.82 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', X ), Y, 'tc_nat' ) ) ],
% 1.44/1.82 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OBseq'(
% 1.44/1.82 'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'( X ), Y, X, X, 'tc_nat' ), X )
% 1.44/1.82 , ~( 'c_SEQ_OBseq'( Y, X ) ) ],
% 1.44/1.82 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OBseq'( Y,
% 1.44/1.82 X ), ~( 'c_SEQ_OBseq'( 'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'( X ), Y
% 1.44/1.82 , X, X, 'tc_nat' ), X ) ) ],
% 1.44/1.82 [ =( hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' )
% 1.44/1.82 , X ), hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), X ),
% 1.44/1.82 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.44/1.82 'tc_nat' ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.44/1.82 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( T, U
% 1.44/1.82 , X ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.44/1.82 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( T, U, X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 1.44/1.82 , X ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.44/1.82 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), 'c_lessequals'( Z, Y, X
% 1.44/1.82 ), ~( 'c_lessequals'( U, T, X ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.44/1.82 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), 'c_lessequals'( U, T, X
% 1.44/1.82 ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.44/1.82 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.44/1.82 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.44/1.82 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.44/1.82 ,
% 1.44/1.82 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.44/1.82 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.44/1.82 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.44/1.82 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 1.44/1.82 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 1.44/1.82 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 1.44/1.82 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.44/1.82 ,
% 1.44/1.82 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.44/1.82 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 1.44/1.82 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.44/1.82 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.44/1.82 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ), ~( 'c_lessequals'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.44/1.82 ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.44/1.82 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ), ~( 'c_lessequals'( Z
% 1.44/1.82 , 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) )
% 1.44/1.82 ],
% 1.44/1.82 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 1.44/1.82 'c_Series_Osummable'( 'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'( X ), Y,
% 1.44/1.82 X, X, 'tc_nat' ), X ), ~( 'c_Series_Osummable'( Y, X ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.44/1.82 'c_lessequals'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), hAPP(
% 1.44/1.82 'c_HOL_Oabs__class_Oabs'( X ), Y ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.44/1.82 , Z ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), X ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.44/1.82 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), U )
% 1.44/1.82 , X ), ~( 'c_lessequals'( U, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), U, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.82 Y, T, X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 1.44/1.82 ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP(
% 1.44/1.82 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.44/1.82 X ), Y ), Z ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( X ), Z ), Y ) ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), Y ), hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), Z ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Y ) ), =( Y,
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.44/1.82 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.82 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.44/1.82 'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.82 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.44/1.82 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.82 X ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.82 X ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.44/1.82 , Y ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.82 X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.44/1.82 X ) ), =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ),
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.82 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.44/1.82 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP(
% 1.44/1.82 'c_HOL_Oabs__class_Oabs'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.44/1.82 ), Y ) ) ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.82 X ) ) ), =( Y, Z ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.82 X ) ) ), =( Y, Z ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.44/1.82 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ),
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.44/1.82 Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.44/1.82 ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.44/1.82 ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.82 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.44/1.82 Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.44/1.82 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X )
% 1.44/1.82 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) )
% 1.44/1.82 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.44/1.82 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 1.44/1.82 ,
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.44/1.82 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X )
% 1.44/1.82 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ]
% 1.44/1.82 ,
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.44/1.82 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T )
% 1.44/1.82 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.44/1.82 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.44/1.82 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T )
% 1.44/1.82 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.44/1.82 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y
% 1.44/1.82 ) ), Z ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ), ~( 'c_lessequals'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.44/1.82 X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.44/1.82 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), Z, X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.44/1.82 X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.44/1.82 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.44/1.82 X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.44/1.82 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.44/1.82 ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z
% 1.44/1.82 , hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ), X ) ) ]
% 1.44/1.82 ,
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.44/1.82 ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.44/1.82 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.44/1.82 ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.82 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), Y, X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.44/1.82 ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.82 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), Y, X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.44/1.82 , Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.82 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), Y, X ) ) ]
% 1.44/1.82 ,
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.44/1.82 X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.44/1.82 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.44/1.82 , Y ), T ), Z, X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.44/1.82 X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.44/1.82 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.44/1.82 , Y ), T ), Z, X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.44/1.82 ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.82 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), Y, X ) ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.44/1.82 ), T ), Z ), X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.44/1.82 ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.82 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), Y, X ) ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.44/1.82 ), T ), Z ), X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ) ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), Y ), U ) ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ), =( U,
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.44/1.82 ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.44/1.82 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X )
% 1.44/1.82 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.44/1.82 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.44/1.82 T, X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.44/1.82 X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), Z, X ) ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 1.44/1.82 ,
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.44/1.82 ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 1.44/1.82 ,
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.44/1.82 X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.82 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), Z, X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.44/1.82 , Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.82 Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ) ) ]
% 1.44/1.82 ,
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.44/1.82 ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.82 Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.44/1.82 ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.82 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ), Z, X ) ) ]
% 1.44/1.82 ,
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =( hAPP(
% 1.44/1.82 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.82 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.44/1.82 'c_HOL_Oabs__class_Oabs'( X ), Y ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.44/1.82 , Z ) ) ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.44/1.82 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =( hAPP(
% 1.44/1.82 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.82 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.44/1.82 'c_HOL_Oabs__class_Oabs'( X ), Y ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.44/1.82 , Z ) ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.44/1.82 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =( hAPP(
% 1.44/1.82 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.82 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.44/1.82 'c_HOL_Oabs__class_Oabs'( X ), Y ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.44/1.82 , Z ) ) ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.44/1.82 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =( hAPP(
% 1.44/1.82 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.82 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.44/1.82 'c_HOL_Oabs__class_Oabs'( X ), Y ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.44/1.82 , Z ) ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.44/1.82 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.82 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.82 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.82 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.82 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.44/1.82 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X )
% 1.44/1.82 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.44/1.82 T, X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.44/1.82 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.44/1.82 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.44/1.82 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.44/1.82 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), ~(
% 1.44/1.82 'c_lessequals'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.44/1.82 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 1.44/1.82 ,
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.44/1.82 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.44/1.82 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), ~(
% 1.44/1.82 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.44/1.82 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ) ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.44/1.82 ,
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.44/1.82 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.44/1.82 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.44/1.82 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T
% 1.44/1.82 ), X ) ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.44/1.82 ), Y ), T ), Z, X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.44/1.82 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), ~(
% 1.44/1.82 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.44/1.82 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ),
% 1.44/1.82 Y, X ) ), ~( 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.82 X ), T ), Z ), X ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.44/1.82 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.44/1.82 , Z ), T ), X ), ~( 'c_lessequals'( Y, T, X ) ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 1.44/1.82 ,
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.44/1.82 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.44/1.82 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ),
% 1.44/1.82 ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z )
% 1.44/1.82 , 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.44/1.82 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.44/1.82 ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.44/1.82 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.44/1.82 ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP(
% 1.44/1.82 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.44/1.82 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), Z ) ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP(
% 1.44/1.82 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.44/1.82 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), Z ) ), Y ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.44/1.82 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.44/1.82 , Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 1.44/1.82 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.44/1.82 [ =( 'c_Set_Oimage'( X, 'c_Set_Oimage'( Y, Z, T, U ), U, W ),
% 1.44/1.82 'c_Set_Oimage'( 'c_COMBB'( X, Y, U, W, T ), Z, T, W ) ) ],
% 1.44/1.82 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 1.44/1.82 'class_RealVector_Ometric__space'( Y ) ), ~(
% 1.44/1.82 'class_RealVector_Ometric__space'( Z ) ), 'c_Lim_OLIM'( 'c_COMBB'( T, U,
% 1.44/1.82 X, Y, Z ), W, hAPP( T, V0 ), Z, Y ), ~( 'c_Lim_OLIM'( U, W, V0, Z, X ) )
% 1.44/1.82 , ~( 'c_Lim_OLIM'( T, V0, hAPP( T, V0 ), X, Y ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.44/1.82 'class_Int_Onumber__ring'( X ) ), =( hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.44/1.82 , 'c_Int_Onumber__class_Onumber__of'( Y, X ) ),
% 1.44/1.82 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), 'c_HOL_Oord__class_Oless'(
% 1.44/1.82 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.44/1.82 ), X ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.82 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.44/1.82 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.82 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.44/1.82 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.44/1.82 ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.44/1.82 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.44/1.82 ~( 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.44/1.82 , hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ) ) ]
% 1.44/1.82 ,
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.82 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.44/1.82 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.44/1.82 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.82 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.44/1.82 ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.44/1.82 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.44/1.82 ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.44/1.82 X ), T ), Z ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.82 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.44/1.82 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ),
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.44/1.82 ), X ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.82 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.44/1.82 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.44/1.82 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.44/1.82 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.44/1.82 X ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.82 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.44/1.82 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.44/1.82 ), X ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.82 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'(
% 1.44/1.82 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.44/1.82 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.44/1.82 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.44/1.82 ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.82 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.44/1.82 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.44/1.82 ), X ) ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.44/1.82 ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), Y, X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.82 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.44/1.82 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.44/1.82 ), X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.44/1.82 , X ), ~( 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.44/1.82 ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.82 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.44/1.82 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~( 'c_lessequals'( Y,
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.44/1.82 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.44/1.82 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.82 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.44/1.82 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~( 'c_lessequals'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.44/1.82 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.44/1.82 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.82 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Z
% 1.44/1.82 , X ) ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_lessequals'(
% 1.44/1.82 'c_Int_Onumber__class_Onumber__of'( Z, X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ), X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.82 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.44/1.82 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.44/1.82 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.44/1.82 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.82 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.44/1.82 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ),
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.44/1.82 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.44/1.82 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.82 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), Z ),
% 1.44/1.82 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ),
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.44/1.82 ), X ), ~( 'c_lessequals'( Z, hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.44/1.82 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.82 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.44/1.82 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.44/1.82 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.44/1.82 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.82 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.44/1.82 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.44/1.82 ), X ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.44/1.82 X ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.82 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.44/1.82 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.44/1.82 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.44/1.82 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), Y, X ) ), ~(
% 1.44/1.82 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.44/1.82 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.82 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.44/1.82 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ),
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.44/1.82 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ), ~( 'c_lessequals'(
% 1.44/1.82 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.44/1.82 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.82 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.44/1.82 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.44/1.82 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ), ~( 'c_lessequals'(
% 1.44/1.82 Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.44/1.82 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.82 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Z
% 1.44/1.82 , X ) ), T ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ),
% 1.44/1.82 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.82 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.44/1.82 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.44/1.82 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.44/1.82 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.82 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.44/1.82 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~( 'c_lessequals'( Y,
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.44/1.82 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.44/1.82 ), X ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.44/1.82 , Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.82 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.44/1.82 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~( 'c_lessequals'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'(
% 1.44/1.82 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.44/1.82 ), X ), ~( 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.82 X ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.82 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.44/1.82 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~( 'c_lessequals'(
% 1.44/1.82 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.44/1.82 ), X ) ), ~( 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.82 X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.44/1.82 [ =( 'c_Divides_Odiv__class_Odiv'( X, hAPP( 'c_Suc',
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ), X ) ],
% 1.44/1.82 [ ~( =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Y ), T ) ) ), ~(
% 1.44/1.82 'c_Groebner__Basis_Osemiringb'( X, U, W, V0, V1, V2 ) ), =( Z, T ) ],
% 1.44/1.82 [ ~( =( X, hAPP( hAPP( Y, X ), Z ) ) ), ~(
% 1.44/1.82 'c_Groebner__Basis_Osemiringb'( Y, T, U, W, V0, V1 ) ), =( Z, W ) ],
% 1.44/1.82 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.44/1.82 X, 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), hAPP( 'c_Suc',
% 1.44/1.82 'c_Divides_Odiv__class_Odiv'( Y, X, 'tc_nat' ) ) ), 'tc_nat' ) ],
% 1.44/1.82 [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), Z, 'tc_nat' ), hAPP(
% 1.44/1.82 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_Divides_Odiv__class_Odiv'( X,
% 1.44/1.82 Z, 'tc_nat' ) ), 'c_Divides_Odiv__class_Odiv'( Y, Z, 'tc_nat' ) ) ),
% 1.44/1.82 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.82 'tc_nat' ), 'c_Divides_Odiv__class_Omod'( X, Z, 'tc_nat' ) ),
% 1.44/1.82 'c_Divides_Odiv__class_Omod'( Y, Z, 'tc_nat' ) ), Z, 'tc_nat' ) ) ) ]
% 1.44/1.82 ,
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.44/1.82 ), T ), Z ), Y, X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.44/1.82 ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.44/1.82 X ), T ), Z ), X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.44/1.82 X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.44/1.82 [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 1.44/1.82 X, hAPP( 'c_Suc', X ), 'tc_nat' ) ],
% 1.44/1.82 [ ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Y, hAPP( 'c_Suc', X ), 'tc_nat' ) ) ],
% 1.44/1.82 [ 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Suc', Y ), 'tc_nat' ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 1.44/1.82 [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( 'c_Suc', X ), hAPP( 'c_Suc',
% 1.44/1.82 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat' ),
% 1.44/1.82 hAPP( 'c_Suc', 'c_Divides_Odiv__class_Odiv'( X, hAPP( 'c_Suc', hAPP(
% 1.44/1.82 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat' ) ) ),
% 1.44/1.82 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.44/1.82 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 1.44/1.82 hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z, X ),
% 1.44/1.82 'c_Divides_Odiv__class_Omod'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.44/1.82 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ), Z, X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.44/1.82 ,
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.44/1.82 ,
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.44/1.82 ,
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.44/1.82 ,
% 1.44/1.82 [ ~( =( 'c_Divides_Odiv__class_Omod'( X, hAPP( 'c_Suc', hAPP( 'c_Suc',
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat' ), hAPP( 'c_Suc',
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), ~(
% 1.44/1.82 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.44/1.82 [ =( 'c_Divides_Odiv__class_Omod'( X, hAPP( 'c_Suc', hAPP( 'c_Suc',
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat' ), hAPP( 'c_Suc',
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ),
% 1.44/1.82 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.44/1.82 , hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), hAPP(
% 1.44/1.82 'c_Suc', Y ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ),
% 1.44/1.82 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ),
% 1.44/1.82 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ), Y ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.44/1.82 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.44/1.82 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.44/1.82 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_Int_Oint' ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.44/1.82 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z,
% 1.44/1.82 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.82 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.44/1.82 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ],
% 1.44/1.82 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( X,
% 1.44/1.82 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' )
% 1.44/1.82 ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.44/1.82 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), =( Z,
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( 'c_Suc', X ) ), Y ) ),
% 1.44/1.82 hAPP( 'c_Suc', Z ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat'
% 1.44/1.82 ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Z )
% 1.44/1.82 ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.44/1.82 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z )
% 1.44/1.82 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z,
% 1.44/1.82 X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.44/1.82 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z )
% 1.44/1.82 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.44/1.82 X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), hAPP( hAPP( Y, U ), T ) )
% 1.44/1.82 , hAPP( hAPP( Y, hAPP( hAPP( X, Z ), U ) ), T ) ), ~(
% 1.44/1.82 'c_Groebner__Basis_Ogb__semiring'( X, Y, W, V0, V1, V2 ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), T ), hAPP( hAPP( Y, hAPP(
% 1.44/1.82 hAPP( X, Z ), U ) ), T ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, Y, W
% 1.44/1.82 , V0, U, V1 ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), Y ) ), hAPP( hAPP( Z, hAPP(
% 1.44/1.82 hAPP( X, T ), U ) ), Y ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, Z, W
% 1.44/1.82 , V0, U, V1 ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( X, Y ), Y ), hAPP( hAPP( Z, hAPP( hAPP( X, T ), T ) ),
% 1.44/1.82 Y ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, Z, U, W, T, V0 ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 1.44/1.82 X, T, U, Y, W, V0 ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 1.44/1.82 X, T, U, Z, W, V0 ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~(
% 1.44/1.82 'c_Groebner__Basis_Ogb__semiring'( T, X, U, W, V0, V1 ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ), hAPP( hAPP( Y, hAPP(
% 1.44/1.82 hAPP( X, Z ), U ) ), hAPP( hAPP( X, T ), U ) ) ), ~(
% 1.44/1.82 'c_Groebner__Basis_Ogb__semiring'( Y, X, W, V0, V1, V2 ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 1.44/1.82 T, X, U, Y, W, V0 ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 1.44/1.82 T, X, U, Z, W, V0 ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 1.44/1.82 T, X, U, W, Y, V0 ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 1.44/1.82 T, X, U, W, Z, V0 ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, T ), U ) )
% 1.44/1.82 , hAPP( hAPP( X, hAPP( hAPP( X, Y ), T ) ), hAPP( hAPP( X, Z ), U ) ) ),
% 1.44/1.82 ~( 'c_Groebner__Basis_Ogb__semiring'( W, X, V0, V1, V2, V3 ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, T ), U ) )
% 1.44/1.82 , hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), hAPP( hAPP( X, T ), U ) ) ) ),
% 1.44/1.82 ~( 'c_Groebner__Basis_Ogb__semiring'( W, X, V0, V1, V2, V3 ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, T ), U ) )
% 1.44/1.82 , hAPP( hAPP( X, T ), hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), U ) ) ),
% 1.44/1.82 ~( 'c_Groebner__Basis_Ogb__semiring'( W, X, V0, V1, V2, V3 ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, hAPP(
% 1.44/1.82 hAPP( X, Y ), T ) ), Z ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, W
% 1.44/1.82 , V0, V1, V2 ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ),
% 1.44/1.82 hAPP( hAPP( X, Z ), T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X,
% 1.44/1.82 W, V0, V1, V2 ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, hAPP(
% 1.44/1.82 hAPP( X, Y ), Z ) ), T ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, W
% 1.44/1.82 , V0, V1, V2 ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, Z ),
% 1.44/1.82 hAPP( hAPP( X, Y ), T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X,
% 1.44/1.82 W, V0, V1, V2 ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, T ), U ) )
% 1.44/1.82 , hAPP( hAPP( X, hAPP( hAPP( X, Y ), T ) ), hAPP( hAPP( X, Z ), U ) ) ),
% 1.44/1.82 ~( 'c_Groebner__Basis_Ogb__semiring'( X, W, V0, V1, V2, V3 ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ),
% 1.44/1.82 hAPP( hAPP( X, Z ), T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, U,
% 1.44/1.82 W, V0, V1, V2 ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, Z ),
% 1.44/1.82 hAPP( hAPP( X, Y ), T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, U,
% 1.44/1.82 W, V0, V1, V2 ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, hAPP(
% 1.44/1.82 hAPP( X, Y ), T ) ), Z ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, U, W
% 1.44/1.82 , V0, V1, V2 ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~(
% 1.44/1.82 'c_Groebner__Basis_Ogb__semiring'( X, T, U, W, V0, V1 ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, hAPP(
% 1.44/1.82 hAPP( X, Y ), Z ) ), T ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, U, W
% 1.44/1.82 , V0, V1, V2 ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 1.44/1.82 X, T, U, Y, W, V0 ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, hAPP(
% 1.44/1.82 hAPP( X, Y ), Z ) ), T ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, U, W
% 1.44/1.82 , V0, V1, V2 ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~(
% 1.44/1.82 'c_Groebner__Basis_Ogb__semiring'( X, T, U, W, V0, V1 ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 1.44/1.82 T, X, U, Y, W, V0 ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 1.44/1.82 T, X, U, W, Y, V0 ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, hAPP(
% 1.44/1.82 hAPP( X, Y ), Z ) ), T ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, W
% 1.44/1.82 , V0, V1, V2 ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~(
% 1.44/1.82 'c_Groebner__Basis_Ogb__semiring'( T, X, U, W, V0, V1 ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), U ) ), hAPP( hAPP( Z, hAPP(
% 1.44/1.82 hAPP( X, Y ), T ) ), hAPP( hAPP( X, Y ), U ) ) ), ~(
% 1.44/1.82 'c_Groebner__Basis_Ogb__semiring'( Z, X, W, V0, V1, V2 ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ), hAPP( hAPP( Y, hAPP(
% 1.44/1.82 hAPP( X, Z ), U ) ), hAPP( hAPP( X, T ), U ) ) ), ~(
% 1.44/1.82 'c_Groebner__Basis_Ogb__semiring'( W, Y, X, V0, V1, V2 ) ) ],
% 1.44/1.82 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 1.44/1.82 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), T, X ),
% 1.44/1.82 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X
% 1.44/1.82 ), 'c_Divides_Odiv__class_Omod'( Y, T, X ) ),
% 1.44/1.82 'c_Divides_Odiv__class_Omod'( Z, T, X ) ), T, X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.44/1.82 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.44/1.82 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.44/1.82 'c_lessequals'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ), Z, X ), ~(
% 1.44/1.82 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z, X ) )
% 1.44/1.82 , ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.44/1.82 'c_lessequals'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ), Z, X ), ~(
% 1.44/1.82 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z, X ) )
% 1.44/1.82 , ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP(
% 1.44/1.82 'c_HOL_Oabs__class_Oabs'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X )
% 1.44/1.82 , Y ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.44/1.82 'c_lessequals'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ),
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ]
% 1.44/1.82 ,
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.44/1.82 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), ~(
% 1.44/1.82 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.44/1.82 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ),
% 1.44/1.82 Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z,
% 1.44/1.82 X ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.44/1.82 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), ~(
% 1.44/1.82 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.44/1.82 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z
% 1.44/1.82 ), X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.44/1.82 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.44/1.82 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.44/1.82 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T
% 1.44/1.82 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.44/1.82 , X ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.44/1.82 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.44/1.82 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.44/1.82 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ),
% 1.44/1.82 Z, X ) ) ],
% 1.44/1.82 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 1.44/1.82 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 1.44/1.82 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 1.44/1.82 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ],
% 1.44/1.82 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.44/1.82 'c_Series_Osuminf'( 'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'( X ), Y, X
% 1.44/1.82 , X, 'tc_nat' ), X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.44/1.82 'c_Series_Osuminf'( Y, X ) ) ), ~( 'c_Series_Osummable'( Y, X ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.44/1.82 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.44/1.82 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.44/1.82 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ), ~( 'c_lessequals'( Y,
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.44/1.82 [ 'c_HOL_Oord__class_Oless'( 'c_Divides_Odiv__class_Omod'( X, Y,
% 1.44/1.82 'tc_nat' ), Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =( hAPP(
% 1.44/1.82 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.44/1.82 , Y ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Z ) ) ), =( Z,
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.82 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 1.44/1.82 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), T, X ),
% 1.44/1.82 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X
% 1.44/1.82 ), 'c_Divides_Odiv__class_Omod'( Y, T, X ) ), Z ), T, X ) ) ],
% 1.44/1.82 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 1.44/1.82 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), T, X ),
% 1.44/1.82 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X
% 1.44/1.82 ), Y ), 'c_Divides_Odiv__class_Omod'( Z, T, X ) ), T, X ) ) ],
% 1.44/1.82 [ =( hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' )
% 1.44/1.82 , hAPP( 'c_Suc', hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 1.44/1.82 ) ), 'c_Divides_Odiv__class_Odiv'( X, hAPP( 'c_Suc', hAPP( 'c_Suc',
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat' ) ) ), X ),
% 1.44/1.82 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.44/1.82 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.44/1.82 'tc_nat' ), X ), Y ), hAPP( 'c_Suc', X ), 'tc_nat' ) ],
% 1.44/1.82 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X,
% 1.44/1.82 'c_Set_Oinsert'( U, Y, Z ), Z, T ) ) ],
% 1.44/1.82 [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( 'c_Suc', X ), Y, 'tc_nat' ),
% 1.44/1.82 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_Divides_Odiv__class_Odiv'( X,
% 1.44/1.82 Y, 'tc_nat' ) ), 'c_Divides_Odiv__class_Odiv'( hAPP( 'c_Suc',
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Y, 'tc_nat' ) ) ),
% 1.44/1.82 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.82 'tc_nat' ), 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ) ),
% 1.44/1.82 'c_Divides_Odiv__class_Omod'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.82 'tc_nat' ) ), Y, 'tc_nat' ) ), Y, 'tc_nat' ) ) ) ],
% 1.44/1.82 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.44/1.82 'c_Divides_Odiv__class_Omod'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), Z
% 1.44/1.82 , X ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 1.44/1.82 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OMin', 'c_Int_OPls', 'tc_Int_Oint' )
% 1.44/1.82 ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.44/1.82 'c_lessequals'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.82 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) )
% 1.44/1.82 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.44/1.82 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.44/1.82 X ), Y ), T ) ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( X ), Z ), U ) ) ), X ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.44/1.82 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.44/1.82 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) )
% 1.44/1.82 ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.44/1.82 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ),
% 1.44/1.82 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.44/1.82 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.44/1.82 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Y, X ) )
% 1.44/1.82 ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.44/1.82 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Y, X ),
% 1.44/1.82 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.44/1.82 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.44/1.82 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) )
% 1.44/1.82 ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.44/1.82 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ),
% 1.44/1.82 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.44/1.82 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.44/1.82 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Y, X ) )
% 1.44/1.82 ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.82 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.44/1.82 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~( 'c_lessequals'(
% 1.44/1.82 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.44/1.82 ), X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X )
% 1.44/1.82 , X ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.44/1.82 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z, X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.82 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.44/1.82 , X ) ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.44/1.82 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.82 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.44/1.82 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.44/1.82 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.44/1.82 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z, X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.82 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.44/1.82 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.44/1.82 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.44/1.82 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ) ), ~(
% 1.44/1.82 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.44/1.82 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z, X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.82 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.44/1.82 , X ) ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ),
% 1.44/1.82 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.82 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.44/1.82 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.44/1.82 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.44/1.82 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), Y, X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.82 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.44/1.82 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.44/1.82 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 'c_lessequals'(
% 1.44/1.82 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.44/1.82 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.82 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.44/1.82 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.44/1.82 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'( Y,
% 1.44/1.82 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ),
% 1.44/1.82 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.82 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.44/1.82 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.44/1.82 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'( Y,
% 1.44/1.82 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.44/1.82 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.82 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), Z ),
% 1.44/1.82 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.44/1.82 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 'c_lessequals'(
% 1.44/1.82 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.44/1.82 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.44/1.82 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 1.44/1.82 , X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.44/1.82 ), X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.44/1.82 ), 'c_HOL_Oone__class_Oone'( X ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.44/1.82 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.44/1.82 X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.44/1.82 ), 'c_HOL_Oone__class_Oone'( X ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.44/1.82 , X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.44/1.82 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X )
% 1.44/1.82 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.44/1.82 ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.44/1.82 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.44/1.82 ,
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.44/1.82 ), X ) ) ],
% 1.44/1.82 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.44/1.82 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.44/1.82 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X
% 1.44/1.82 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.44/1.82 'c_Divides_Odiv__class_Omod'( Y, T, X ) ), Z ) ) ],
% 1.44/1.82 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.44/1.82 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.44/1.82 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X
% 1.44/1.82 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.44/1.82 'c_Divides_Odiv__class_Omod'( Z, T, X ) ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.44/1.82 X ), Y ) ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.44/1.82 [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 1.44/1.82 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 1.44/1.82 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 1.44/1.82 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 1.44/1.82 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.44/1.82 ), U ), Y ), Z, X ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), W ), T ), Z, X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y
% 1.44/1.82 ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ) ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ) ],
% 1.44/1.82 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.44/1.82 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.44/1.82 ), Y ), Z ), T, X ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), 'c_Divides_Odiv__class_Omod'( Y, T, X
% 1.44/1.82 ) ), 'c_Divides_Odiv__class_Omod'( Z, T, X ) ), T, X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.44/1.82 ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.44/1.82 ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.44/1.82 X ), Y ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.44/1.82 X ), Y ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ) ],
% 1.44/1.82 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ) ],
% 1.44/1.82 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ) ],
% 1.44/1.82 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.44/1.82 X ), Y ) ), Z ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ) ],
% 1.44/1.82 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.44/1.82 X ), Y ) ), Z ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.44/1.82 X ), Y ) ), Z ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ) ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP(
% 1.44/1.82 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.82 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.44/1.82 'c_HOL_Oabs__class_Oabs'( X ), Y ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.44/1.82 , Z ) ) ) ],
% 1.44/1.82 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_Lim_OLIM'(
% 1.44/1.82 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z, hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X, X ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ) ), =( Y, hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), =( Y, Z ) ],
% 1.44/1.82 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.44/1.82 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.44/1.82 ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ), T ), Z, X ),
% 1.44/1.82 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.44/1.82 ), Y ), T ), Z, X ) ) ],
% 1.44/1.82 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ],
% 1.44/1.82 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ],
% 1.44/1.82 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.44/1.82 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.44/1.82 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.44/1.82 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.44/1.82 ), Y ), Z ), T, X ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_Divides_Odiv__class_Omod'( Z,
% 1.44/1.82 T, X ) ), T, X ) ) ],
% 1.44/1.82 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.44/1.82 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.44/1.82 ), Y ), Z ), T, X ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), 'c_Divides_Odiv__class_Omod'( Y, T, X
% 1.44/1.82 ) ), Z ), T, X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), Z ) ) ],
% 1.44/1.82 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'(
% 1.44/1.82 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z, Y, X ) ],
% 1.44/1.82 [ ~( 'class_Divides_Osemiring__div'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), 'c_Divides_Odiv__class_Omod'( Y, Z, X )
% 1.44/1.82 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.44/1.82 'c_Divides_Odiv__class_Odiv'( Y, Z, X ) ), Z ) ), Y ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.44/1.82 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP(
% 1.44/1.82 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ), X ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( T, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.44/1.82 , hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( X ), U ), Y ) ), Z ) ), W ), X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.44/1.82 , hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), U ) ), W ), X ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.44/1.82 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), Y ), hAPP(
% 1.44/1.82 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ), W ), X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.44/1.82 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP(
% 1.44/1.82 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ), X ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.44/1.82 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( X ), Y ), U ) ), Z ) ), T ), W, X ) ) ]
% 1.44/1.82 ,
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.44/1.82 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ) ), U ), W, X ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.44/1.82 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), U ), hAPP(
% 1.44/1.82 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), W ), X ) ) ],
% 1.44/1.82 [ ~( 'class_Divides_Osemiring__div'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.82 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.44/1.82 'c_Divides_Odiv__class_Odiv'( Z, Y, X ) ) ), 'c_Divides_Odiv__class_Omod'(
% 1.44/1.82 Z, Y, X ) ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T )
% 1.44/1.82 ) ],
% 1.44/1.82 [ ~( 'class_Divides_Osemiring__div'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.82 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.44/1.82 'c_Divides_Odiv__class_Odiv'( Y, Z, X ) ), Z ) ),
% 1.44/1.82 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ), T ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ],
% 1.44/1.82 [ ~( 'class_RealVector_Oreal__field'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ) ), W ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.82 X ), Y ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( X ), Z ), U ) ), W ) ) ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( X ), Y ), T ) ), W ) ), U ) ) ) ],
% 1.44/1.82 [ ~( 'class_Divides_Osemiring__div'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.82 X ), Y ), 'c_Divides_Odiv__class_Odiv'( Z, Y, X ) ) ),
% 1.44/1.82 'c_Divides_Odiv__class_Omod'( Z, Y, X ) ), Z ) ],
% 1.44/1.82 [ ~( 'class_Divides_Osemiring__div'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.82 X ), 'c_Divides_Odiv__class_Odiv'( Y, Z, X ) ), Z ) ),
% 1.44/1.82 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ), Y ) ],
% 1.44/1.82 [ ~( 'class_Divides_Osemiring__div'( X ) ), =( Y, hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.82 X ), 'c_Divides_Odiv__class_Odiv'( Y, Z, X ) ), Z ) ),
% 1.44/1.82 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.44/1.82 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.82 X ), U ), Z ) ), W ), X ), ~( 'c_lessequals'( T, hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.82 X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), U ), Y ) ), Z ) ), W
% 1.44/1.82 ), X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( Y
% 1.44/1.82 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), U ) ), W ), X ), ~(
% 1.44/1.82 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), Y ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.82 X ), Z ), U ) ), W ), X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.44/1.82 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.82 X ), U ), Z ) ), W ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.82 X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), U ) ), Z ) ), T
% 1.44/1.82 ), W, X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.44/1.82 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ) ), U ), W, X ), ~(
% 1.44/1.82 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), U ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.82 X ), Z ), T ) ), W ), X ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.44/1.82 ), Y ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.44/1.82 ), Z ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.44/1.82 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T )
% 1.44/1.82 , X ), ~( 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ), X ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.44/1.82 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.44/1.82 , 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.44/1.82 , Y ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ),
% 1.44/1.82 ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.44/1.82 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.82 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.44/1.82 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.44/1.82 , 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.44/1.82 , Y ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ),
% 1.44/1.82 ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.44/1.82 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.82 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Y ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP(
% 1.44/1.82 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.44/1.82 ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ) ), hAPP(
% 1.44/1.82 'c_HOL_Oabs__class_Oabs'( X ), Z ) ) ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y )
% 1.44/1.82 ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Z ) ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.44/1.82 ), Y ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), Z ) ]
% 1.44/1.82 ,
% 1.44/1.82 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.44/1.82 ), Y ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ), Z ) ]
% 1.44/1.82 ,
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.44/1.82 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.44/1.82 T, X ) ) ],
% 1.44/1.82 [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 1.44/1.82 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 1.44/1.82 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 1.44/1.82 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 1.44/1.82 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.44/1.82 , U ), Y ), Z, X ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), W ), T ), Z, X ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.44/1.82 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.44/1.82 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 1.44/1.82 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.44/1.82 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.44/1.82 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.44/1.82 , 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ), T ), Z, X ),
% 1.44/1.82 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.44/1.82 , Y ), T ), Z, X ) ) ],
% 1.44/1.82 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.44/1.82 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.44/1.82 , Y ), 'c_Divides_Odiv__class_Omod'( Z, T, X ) ), T, X ),
% 1.44/1.82 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.44/1.82 , Y ), Z ), T, X ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.44/1.82 ), Y ) ), Z ) ), Z ) ],
% 1.44/1.82 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.44/1.82 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.44/1.82 , Y ), Z ), Z, X ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 1.44/1.82 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.44/1.82 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.44/1.82 , Y ), Z ), Y, X ), 'c_Divides_Odiv__class_Omod'( Z, Y, X ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.44/1.82 , 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.44/1.82 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~(
% 1.44/1.82 'c_lessequals'( Y, T, X ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.44/1.82 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.44/1.82 , 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.44/1.82 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~(
% 1.44/1.82 'c_lessequals'( Z, T, X ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.44/1.82 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), T ), Y ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.44/1.82 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.44/1.82 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~(
% 1.44/1.82 'c_lessequals'( Y, T, X ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.44/1.82 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.44/1.82 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~(
% 1.44/1.82 'c_lessequals'( Z, T, X ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.44/1.82 X ), Y ), Z ) ), Z ), Y ) ],
% 1.44/1.82 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.44/1.82 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.44/1.82 , Y ), Z ), T, X ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), 'c_Divides_Odiv__class_Omod'( Y, T, X )
% 1.44/1.82 ), 'c_Divides_Odiv__class_Omod'( Z, T, X ) ), T, X ) ) ],
% 1.44/1.82 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.44/1.82 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.44/1.82 , Y ), Z ), T, X ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_Divides_Odiv__class_Omod'( Z, T
% 1.44/1.82 , X ) ), T, X ) ) ],
% 1.44/1.82 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.44/1.82 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.44/1.82 , Y ), Z ), T, X ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), 'c_Divides_Odiv__class_Omod'( Y, T, X )
% 1.44/1.82 ), Z ), T, X ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.82 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) )
% 1.44/1.82 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( X ), Y ), T ) ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( X ), Z ), U ) ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), Z ) ), =( Y, hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), T ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.82 X ), Y ), Z ) ), Z ), Y ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ) ],
% 1.44/1.82 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ) ],
% 1.44/1.82 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.44/1.82 'c_Int_OMin', X ) ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.44/1.82 ) ],
% 1.44/1.82 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.44/1.82 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ) ), hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ],
% 1.44/1.82 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.44/1.82 ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ),
% 1.44/1.82 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T ) ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.44/1.82 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ), Y ), Z ), X ) )
% 1.44/1.82 , T ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.44/1.82 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Y, X ),
% 1.44/1.82 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.44/1.82 X ), Y ) ), Z ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z
% 1.44/1.82 ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP(
% 1.44/1.82 'c_HOL_Oabs__class_Oabs'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ) )
% 1.44/1.82 , hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP(
% 1.44/1.82 'c_HOL_Oabs__class_Oabs'( X ), Y ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.82 X ) ) ],
% 1.44/1.82 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OMin', X, 'tc_Int_Oint' ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_Int_OMin', 'c_Int_OBit0'( X ),
% 1.44/1.82 'tc_Int_Oint' ) ) ],
% 1.44/1.82 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OMin', 'c_Int_OBit0'( X ),
% 1.44/1.82 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( 'c_Int_OMin', X,
% 1.44/1.82 'tc_Int_Oint' ) ) ],
% 1.44/1.82 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OMin', X, 'tc_Int_Oint' ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_Int_OMin', 'c_Int_OBit1'( X ),
% 1.44/1.82 'tc_Int_Oint' ) ) ],
% 1.44/1.82 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OMin', 'c_Int_OBit1'( X ),
% 1.44/1.82 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( 'c_Int_OMin', X,
% 1.44/1.82 'tc_Int_Oint' ) ) ],
% 1.44/1.82 [ =( 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'c_Divides_Odiv__class_Odiv'( X
% 1.44/1.82 , Y, 'tc_nat' ) ), Y ) ) ) ],
% 1.44/1.82 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ),
% 1.44/1.82 'c_Set_Oinsert'( X, Y, Z ) ) ],
% 1.44/1.82 [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP( 'c_Set_Oinsert'( Z,
% 1.44/1.82 X, T ), Y ) ) ) ],
% 1.44/1.82 [ =( 'c_Divides_Odiv__class_Omod'( hAPP( 'c_Suc', hAPP( hAPP(
% 1.44/1.82 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), X, 'tc_nat' ),
% 1.44/1.82 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.82 'c_HOL_Oone__class_Oone'( 'tc_nat' ), X, 'tc_nat' ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ), X ), Y ),
% 1.44/1.82 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ), Y ), X ) ) ]
% 1.44/1.82 ,
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ),
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( Z,
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( Y,
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ),
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( 'c_Power_Opower_Opower'( X, Y, Z ), T ), hAPP( 'c_Suc'
% 1.44/1.82 , U ) ), hAPP( hAPP( Y, T ), hAPP( hAPP( 'c_Power_Opower_Opower'( X, Y, Z
% 1.44/1.82 ), T ), U ) ) ) ],
% 1.44/1.82 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.44/1.82 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat'
% 1.44/1.82 ), X ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Z, X, 'tc_nat' )
% 1.44/1.82 ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ) ],
% 1.44/1.82 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.44/1.82 'c_Divides_Odiv__class_Odiv'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), Z
% 1.44/1.82 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.82 [ ~( 'class_Divides_Oring__div'( X ) ), ~( =(
% 1.44/1.82 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 1.44/1.82 , Z, X ) ) ), =( 'c_Divides_Odiv__class_Omod'( hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z, X ),
% 1.44/1.82 'c_Divides_Odiv__class_Omod'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.44/1.82 T ), Z, X ) ) ],
% 1.44/1.82 [ ~( =( hAPP( 'c_Suc', X ), hAPP( 'c_Suc', Y ) ) ), =( X, Y ) ],
% 1.44/1.82 [ ~( =( hAPP( 'c_Suc', X ), hAPP( 'c_Suc', Y ) ) ), =( X, Y ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.44/1.82 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 1.44/1.82 'c_HOL_Oabs__class_Oabs'( X ), Y ), X ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.44/1.82 'c_lessequals'( Y, hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ), X ) ],
% 1.44/1.82 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.44/1.82 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ]
% 1.44/1.82 ,
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.44/1.82 'c_HOL_Oabs__class_Oabs'( X ), Y ), Z, X ) ) ],
% 1.44/1.82 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'(
% 1.44/1.82 'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'( X ), Y, X, X, X ), Z, hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), T ), X ), ~( 'c_Deriv_Oderiv'( Y, Z
% 1.44/1.82 , T, X ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( 'c_Suc'
% 1.44/1.82 , X ) ), hAPP( 'c_Suc', Y ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.44/1.82 'tc_nat' ), X ), Y ) ) ],
% 1.44/1.82 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Suc', Y ),
% 1.44/1.82 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ],
% 1.44/1.82 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( Y, hAPP( 'c_Suc', X ),
% 1.44/1.82 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 1.44/1.82 [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Suc', Y ), 'tc_nat' ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.44/1.82 'c_Divides_Odiv__class_Odiv'( X, Y, 'tc_nat' ) ), Y ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ),
% 1.44/1.82 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ) ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ),
% 1.44/1.82 'c_Divides_Odiv__class_Odiv'( Y, X, 'tc_nat' ) ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ),
% 1.44/1.82 'c_Divides_Odiv__class_Omod'( Y, X, 'tc_nat' ) ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP(
% 1.44/1.82 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'(
% 1.44/1.82 X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), Z ) ), hAPP(
% 1.44/1.82 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'(
% 1.44/1.82 X ), Y ), Z ) ) ) ],
% 1.44/1.82 [ =( 'c_Divides_Odiv__class_Omod'( X, hAPP( 'c_Suc',
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ),
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.44/1.82 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.44/1.82 'tc_nat' ), X ), Y ), Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z,
% 1.44/1.82 'tc_nat' ) ) ],
% 1.44/1.82 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 1.44/1.82 , X ) ) ],
% 1.44/1.82 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 1.44/1.82 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 1.44/1.82 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_Int_Oint' ) ) ],
% 1.44/1.82 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.44/1.82 , Y, X ) ) ],
% 1.44/1.82 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.44/1.82 , Y, X ) ) ],
% 1.44/1.82 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.44/1.82 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.82 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.44/1.82 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ) ), hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ],
% 1.44/1.82 [ ~( 'class_Divides_Oring__div'( X ) ), ~( =(
% 1.44/1.82 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 1.44/1.82 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 1.44/1.82 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 1.44/1.82 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X
% 1.44/1.82 ), U ), Y ), Z, X ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( X ), W ), T ), Z, X ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.44/1.82 'c_lessequals'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ),
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.44/1.82 ,
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.44/1.82 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.82 X ), X ) ) ],
% 1.44/1.82 [ =( X, hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.44/1.82 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.44/1.82 'tc_nat' ) ) ],
% 1.44/1.82 [ =( hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' )
% 1.44/1.82 , X ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ), X ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.44/1.82 'tc_nat' ) ) ],
% 1.44/1.82 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.44/1.82 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.44/1.82 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), 'c_Series_Osuminf'( Y, X ) ), Z ),
% 1.44/1.82 'c_Series_Osuminf'( 'c_COMBC'( 'c_COMBB'( 'c_HOL_Oinverse__class_Odivide'(
% 1.44/1.82 X ), Y, X, 'tc_fun'( X, X ), 'tc_nat' ), Z, 'tc_nat', X, X ), X ) ), ~(
% 1.44/1.82 'c_Series_Osummable'( Y, X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~( 'c_lessequals'( Z
% 1.44/1.82 , 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.44/1.82 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ), X ), ~( 'c_lessequals'( U
% 1.44/1.82 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.44/1.82 , U, X ) ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X )
% 1.44/1.82 , Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.44/1.82 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ),
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ),
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.44/1.82 [ ~( 'c_Groebner__Basis_Osemiringb'( X, Y, Z, T, U, W ) ), =( V0, hAPP(
% 1.44/1.82 hAPP( X, V0 ), T ) ) ],
% 1.44/1.82 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), hAPP( hAPP( Y, Z ), U ) )
% 1.44/1.82 , hAPP( hAPP( X, hAPP( hAPP( Y, Z ), U ) ), hAPP( hAPP( Y, Z ), T ) ) ),
% 1.44/1.82 ~( 'c_Groebner__Basis_Osemiringb'( X, Y, W, V0, V1, V2 ) ) ],
% 1.44/1.82 [ ~( 'c_Groebner__Basis_Osemiringb'( X, Y, Z, T, U, W ) ), =( hAPP( hAPP(
% 1.44/1.82 X, hAPP( hAPP( Y, V0 ), V1 ) ), hAPP( hAPP( Y, V0 ), V2 ) ), hAPP( hAPP(
% 1.44/1.82 X, hAPP( hAPP( Y, V0 ), V2 ) ), hAPP( hAPP( Y, V0 ), V1 ) ) ) ],
% 1.44/1.82 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'( Y
% 1.44/1.82 , 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_Series_Osummable'( Y, X ) )
% 1.44/1.82 ],
% 1.44/1.82 [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 1.44/1.82 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.44/1.82 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ) ), ~(
% 1.44/1.82 'c_lessequals'( Y, Z, X ) ) ],
% 1.44/1.82 [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_Orderings_Obot__class_Obot'(
% 1.44/1.82 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y
% 1.44/1.82 , Z, X ) ), 'c_lessequals'( Y, Z, X ) ],
% 1.44/1.82 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.44/1.82 'c_Set_Oinsert'( Y, Z, X ) ) ) ],
% 1.44/1.82 [ ~( 'c_HOL_Oord__class_Oless'( 'c_Int_OPls', 'c_Int_OMin',
% 1.44/1.82 'tc_Int_Oint' ) ) ],
% 1.44/1.82 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ),
% 1.44/1.82 ~( 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.44/1.82 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'(
% 1.44/1.82 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.44/1.82 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.44/1.82 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ),
% 1.44/1.82 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.44/1.82 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.44/1.82 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ],
% 1.44/1.82 [ =( 'c_Set_Oimage'( X, 'c_Set_Oinsert'( Y, Z, T ), T, U ),
% 1.44/1.82 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.44/1.82 'c_lessequals'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y )
% 1.44/1.82 ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Z ) ), X ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.44/1.82 X ), Y ) ), Z ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.44/1.82 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ),
% 1.44/1.82 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.44/1.82 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'( Y
% 1.44/1.82 , Z, X ), ~( 'c_SEQ_OLIMSEQ'( 'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.44/1.82 X ), Y, X, X, 'tc_nat' ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z )
% 1.44/1.82 , X ) ) ],
% 1.44/1.82 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.44/1.82 'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'( X ), Y, X, X, 'tc_nat' ), hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ), ~( 'c_SEQ_OLIMSEQ'( Y, Z,
% 1.44/1.82 X ) ) ],
% 1.44/1.82 [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), X ) ) ],
% 1.44/1.82 [ ~( =( 'c_Complex_Oii', 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.82 'tc_Complex_Ocomplex' ) ) ) ],
% 1.44/1.82 [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( 'c_Suc', X ), hAPP( 'c_Suc',
% 1.44/1.82 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat' ),
% 1.44/1.82 'c_Divides_Odiv__class_Odiv'( X, hAPP( 'c_Suc', hAPP( 'c_Suc',
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat' ) ), ~(
% 1.44/1.82 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.44/1.82 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 1.44/1.82 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =( hAPP(
% 1.44/1.82 'c_HOL_Oabs__class_Oabs'( X ), Y ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =( hAPP(
% 1.44/1.82 'c_HOL_Oabs__class_Oabs'( X ), Y ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 1.44/1.82 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.82 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.44/1.82 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~( 'c_lessequals'(
% 1.44/1.82 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.44/1.82 ), X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X )
% 1.44/1.82 , X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 1.44/1.82 ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.82 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.44/1.82 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.44/1.82 ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.44/1.82 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.44/1.82 ~( 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.44/1.82 X ), Y ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP(
% 1.44/1.82 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.44/1.82 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ) ) ],
% 1.44/1.82 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.44/1.82 'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.44/1.82 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ), Y, 'tc_nat' ) ) ]
% 1.44/1.82 ,
% 1.44/1.82 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.82 'tc_nat' ), X ), Y ), Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X,
% 1.44/1.82 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), Y ), 'tc_nat'
% 1.44/1.82 ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.44/1.82 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), T, X ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.44/1.82 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z
% 1.44/1.82 ), Y, X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.44/1.82 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.44/1.82 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ),
% 1.44/1.82 Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z,
% 1.44/1.82 X ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.44/1.82 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~(
% 1.44/1.82 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y )
% 1.44/1.82 , T ), X ) ) ],
% 1.44/1.82 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.82 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.44/1.82 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.44/1.82 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T
% 1.44/1.82 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.44/1.82 , X ) ],
% 1.44/1.82 [ ~( 'c_HOL_Oord__class_Oless'( 'c_Int_OMin', 'c_Int_OMin',
% 1.44/1.82 'tc_Int_Oint' ) ) ],
% 1.44/1.82 [ =( 'c_Divides_Odiv__class_Omod'( hAPP( 'c_Suc', X ), Y, 'tc_nat' ),
% 1.44/1.82 'c_Divides_Odiv__class_Omod'( hAPP( 'c_Suc', 'c_Divides_Odiv__class_Omod'(
% 1.44/1.82 X, Y, 'tc_nat' ) ), Y, 'tc_nat' ) ) ],
% 1.44/1.82 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 1.44/1.82 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP(
% 1.44/1.82 'c_HOL_Oabs__class_Oabs'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), X ) ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.44/1.83 ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.44/1.83 ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.44/1.83 ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.44/1.83 ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.83 'tc_Int_Oint' ), X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.83 'tc_Int_Oint' ), Z ), Y ), 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 X, Z, 'tc_Int_Oint' ) ) ],
% 1.44/1.83 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 1.44/1.83 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.44/1.83 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 1.44/1.83 , X ) ) ],
% 1.44/1.83 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.44/1.83 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 1.44/1.83 , X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.44/1.83 X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.44/1.83 'c_HOL_Oone__class_Oone'( X ) ) ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.44/1.83 Z, X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.44/1.83 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.44/1.83 'c_HOL_Oone__class_Oone'( X ) ) ), Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 Y, Z, X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.44/1.83 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ), ~( 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ),
% 1.44/1.83 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ) ),
% 1.44/1.83 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ),
% 1.44/1.83 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.44/1.83 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), Z ), Y ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.44/1.83 Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.44/1.83 ~( 'c_lessequals'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.44/1.83 hAPP( 'c_Suc', T ) ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Z
% 1.44/1.83 ), hAPP( 'c_Suc', T ) ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.44/1.83 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), 'c_lessequals'( Z,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), Z ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.83 X ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.44/1.83 , Y ) ), Z ), X ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), =( Y,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'(
% 1.44/1.83 Z, 'tc_nat' ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP(
% 1.44/1.83 hAPP( 'c_Power_Opower__class_Opower'( X ), T ), hAPP( 'c_Suc', Z ) ) ) )
% 1.44/1.83 , =( Y, T ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) )
% 1.44/1.83 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ),
% 1.44/1.83 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'(
% 1.44/1.83 Z, 'tc_nat' ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.83 X ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.44/1.83 ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.44/1.83 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), T ), hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), Z ), T ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.44/1.83 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.44/1.83 ), Z ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~(
% 1.44/1.83 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~(
% 1.44/1.83 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.44/1.83 'class_OrderedGroup_Omonoid__mult'( X ) ), 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~(
% 1.44/1.83 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 1.44/1.83 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), ~(
% 1.44/1.83 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBC'(
% 1.44/1.83 'c_COMBB'( 'c_HOL_Oinverse__class_Odivide'( X ), Z, X, 'tc_fun'( X, X ),
% 1.44/1.83 Y ), T, Y, X, X ), U, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), W
% 1.44/1.83 ), T ), Y, X ), ~( 'c_Lim_OLIM'( Z, U, W, Y, X ) ) ],
% 1.44/1.83 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'(
% 1.44/1.83 'c_COMBC'( 'c_COMBB'( 'c_HOL_Oinverse__class_Odivide'( X ), Y, X,
% 1.44/1.83 'tc_fun'( X, X ), X ), Z, X, X, X ), T, hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), U ), Z ), X ), ~( 'c_Deriv_Oderiv'(
% 1.44/1.83 Y, T, U, X ) ) ],
% 1.44/1.83 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.44/1.83 'c_Series_Osuminf'( 'c_COMBB'( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y
% 1.44/1.83 ), Z, X, X, 'tc_nat' ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.44/1.83 ), Y ), 'c_Series_Osuminf'( Z, X ) ) ), ~( 'c_Series_Osummable'( Z, X )
% 1.44/1.83 ) ],
% 1.44/1.83 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_Series_Osuminf'( Z, X ) ),
% 1.44/1.83 'c_Series_Osuminf'( 'c_COMBB'( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y
% 1.44/1.83 ), Z, X, X, 'tc_nat' ), X ) ), ~( 'c_Series_Osummable'( Z, X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.44/1.83 ), Y ), Z ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), T ), Z ),
% 1.44/1.83 X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.44/1.83 , Z, 'tc_nat' ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 1.44/1.83 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.44/1.83 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ), hAPP(
% 1.44/1.83 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.44/1.83 'class_Int_Onumber__ring'( X ) ), =( hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.44/1.83 , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ) ),
% 1.44/1.83 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.44/1.83 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP(
% 1.44/1.83 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), Y ), 'c_HOL_Oone__class_Oone'( X )
% 1.44/1.83 ), Y ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP(
% 1.44/1.83 'c_HOL_Oabs__class_Oabs'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.44/1.83 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.44/1.83 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.44/1.83 'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 1.44/1.83 ],
% 1.44/1.83 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'(
% 1.44/1.83 'c_COMBS'( 'c_COMBB'( 'c_HOL_Ominus__class_Ominus'( X ), Y, X, 'tc_fun'(
% 1.44/1.83 X, X ), X ), Z, X, X, X ), T, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X
% 1.44/1.83 ), U ), W ), X ), ~( 'c_Deriv_Oderiv'( Z, T, W, X ) ), ~(
% 1.44/1.83 'c_Deriv_Oderiv'( Y, T, U, X ) ) ],
% 1.44/1.83 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.44/1.83 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBS'(
% 1.44/1.83 'c_COMBB'( 'c_HOL_Ominus__class_Ominus'( X ), Z, X, 'tc_fun'( X, X ), Y )
% 1.44/1.83 , T, Y, X, X ), U, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), W ), V0
% 1.44/1.83 ), Y, X ), ~( 'c_Lim_OLIM'( T, U, V0, Y, X ) ), ~( 'c_Lim_OLIM'( Z, U, W
% 1.44/1.83 , Y, X ) ) ],
% 1.44/1.83 [ ~( hBOOL( hAPP( X, 'c_Divides_Odiv__class_Omod'( Y,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ) ), hBOOL( hAPP( X
% 1.44/1.83 , Y ) ) ],
% 1.44/1.83 [ ~( hBOOL( hAPP( X, Y ) ) ), hBOOL( hAPP( X,
% 1.44/1.83 'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.44/1.83 'tc_nat' ) ) ) ],
% 1.44/1.83 [ =( hAPP( hAPP( 'c_Power_Opower_Opower'( X, Y, Z ), T ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ) ],
% 1.44/1.83 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 1.44/1.83 [ ~( hBOOL( hAPP( X, 'c_Divides_Odiv__class_Odiv'( Y,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ) ), hBOOL( hAPP( X
% 1.44/1.83 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.44/1.83 [ ~( hBOOL( hAPP( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), hBOOL(
% 1.44/1.83 hAPP( X, 'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.83 'tc_nat' ), 'tc_nat' ) ) ) ],
% 1.44/1.83 [ hBOOL( hAPP( X, 'c_Divides_Odiv__class_Odiv'( Y,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ), ~( hBOOL( hAPP( X
% 1.44/1.83 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 1.44/1.83 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.44/1.83 'tc_nat' ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.44/1.83 [ ~( =( hAPP( 'c_Suc', X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ ~( =( hAPP( 'c_Suc', X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.83 'tc_nat' ), 'tc_nat' ) ],
% 1.44/1.83 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.44/1.83 ), 'tc_nat' ) ) ],
% 1.44/1.83 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.44/1.83 ), 'tc_nat' ) ) ],
% 1.44/1.83 [ =( hAPP( hAPP( X, Y ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z ),
% 1.44/1.83 ~( 'c_Groebner__Basis_Ogb__semiring'( T, U, X, W, Z, V0 ) ) ],
% 1.44/1.83 [ ~( =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), X ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y, X ) ],
% 1.44/1.83 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), X ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.44/1.83 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ) ],
% 1.44/1.83 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( 'c_Suc', X ) ) ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( 'c_Suc', X ) ) ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.83 'tc_nat' ) ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.44/1.83 'c_lessequals'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ),
% 1.44/1.83 'c_Finite__Set_Osetsum'( Y, Z, T, X ) ), 'c_Finite__Set_Osetsum'(
% 1.44/1.83 'c_COMBB'( 'c_HOL_Oabs__class_Oabs'( X ), Y, X, X, T ), Z, T, X ), X ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.44/1.83 'c_Int_OMin', X ) ), Y ), 'c_Int_Onumber__class_Onumber__of'(
% 1.44/1.83 'c_Int_OMin', X ) ), 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.44/1.83 ), Y ), Z ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), T ),
% 1.44/1.83 X ), ~( 'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), T ), Y ), hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), T ), Z ), X ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), T, X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.44/1.83 ), Y ), Z ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), T ),
% 1.44/1.83 X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X )
% 1.44/1.83 ), ~( 'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), T ), Y ), hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), T ), Z ), X ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), T, X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.44/1.83 X ), 'c_HOL_Oone__class_Oone'( X ) ) ), Y ), hAPP(
% 1.44/1.83 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ),
% 1.44/1.83 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.44/1.83 X ), 'c_HOL_Oone__class_Oone'( X ) ) ), Y ), 'c_HOL_Oone__class_Oone'( X
% 1.44/1.83 ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ) ],
% 1.44/1.83 [ =( 'c_Int_OBit1'( 'c_Int_OMin' ), 'c_Int_OMin' ) ],
% 1.44/1.83 [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OMin' ) ), =( X, 'c_Int_OMin' ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ ~( =( 'c_Int_OMin', 'c_Int_OBit1'( X ) ) ), =( 'c_Int_OMin', X ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OBit1'( Y ),
% 1.44/1.83 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ) ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OBit1'( Y ),
% 1.44/1.83 'tc_Int_Oint' ) ) ],
% 1.44/1.83 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OBit1'( Y ),
% 1.44/1.83 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ) ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OBit1'( Y ),
% 1.44/1.83 'tc_Int_Oint' ) ) ],
% 1.44/1.83 [ =( 'c_Int_OMin', 'c_Int_OBit1'( 'c_Int_OMin' ) ) ],
% 1.44/1.83 [ ~( =( 'c_Int_OPls', 'c_Int_OMin' ) ) ],
% 1.44/1.83 [ ~( =( 'c_Int_OMin', 'c_Int_OPls' ) ) ],
% 1.44/1.83 [ ~( 'c_HOL_Oord__class_Oless'( 'c_Int_OPls', 'c_Int_OPls',
% 1.44/1.83 'tc_Int_Oint' ) ) ],
% 1.44/1.83 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ),
% 1.44/1.83 'c_Int_OPls' ), X ), X ) ],
% 1.44/1.83 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ), X ),
% 1.44/1.83 'c_Int_OPls' ), X ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), Z ), T ) ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP(
% 1.44/1.83 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'(
% 1.44/1.83 X ), Y ), Z ) ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), hAPP(
% 1.44/1.83 'c_HOL_Oabs__class_Oabs'( X ), Y ) ), Z ) ) ],
% 1.44/1.83 [ ~( =( 'c_Int_OMin', 'c_Int_OBit0'( X ) ) ) ],
% 1.44/1.83 [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OMin' ) ) ],
% 1.44/1.83 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OBit0'( X ), 'c_Int_OBit0'( Y ),
% 1.44/1.83 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ) ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_Int_OBit0'( X ), 'c_Int_OBit0'( Y ),
% 1.44/1.83 'tc_Int_Oint' ) ) ],
% 1.44/1.83 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OBit0'( X ), 'c_Int_OBit0'( Y ),
% 1.44/1.83 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ) ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_Int_OBit0'( X ), 'c_Int_OBit0'( Y ),
% 1.44/1.83 'tc_Int_Oint' ) ) ],
% 1.44/1.83 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ),
% 1.44/1.83 'c_Int_OBit0'( X ) ), 'c_Int_OBit0'( Y ) ), 'c_Int_OBit0'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ), X ), Y ) ) ) ],
% 1.44/1.83 [ =( 'c_Int_OBit0'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.83 'tc_Int_Oint' ), X ), X ) ) ],
% 1.44/1.83 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( 'c_Suc'
% 1.44/1.83 , X ) ), Y ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ),
% 1.44/1.83 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ),
% 1.44/1.83 'tc_nat' ) ) ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', 'tc_nat' ), Y, 'tc_nat'
% 1.44/1.83 ) ) ],
% 1.44/1.83 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.83 'tc_nat' ), Y ), X ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.44/1.83 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Y, 'tc_nat' ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.83 'tc_nat' ) ), X, 'tc_nat' ) ) ],
% 1.44/1.83 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.83 'tc_nat' ), X ), Y ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.44/1.83 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Y, 'tc_nat' ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.83 'tc_nat' ) ), X, 'tc_nat' ) ) ],
% 1.44/1.83 [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), X, 'tc_nat' ), Y ),
% 1.44/1.83 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.44/1.83 'tc_nat' ) ) ],
% 1.44/1.83 [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), Y, 'tc_nat' ), X ),
% 1.44/1.83 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 1.44/1.83 'tc_nat' ) ) ],
% 1.44/1.83 [ 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.83 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ),
% 1.44/1.83 Y ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc',
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X, 'tc_nat' ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.83 'tc_nat' ) ), Y, 'tc_nat' ) ) ],
% 1.44/1.83 [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ), 'tc_nat' ),
% 1.44/1.83 'c_Divides_Odiv__class_Odiv'( Y, Z, 'tc_nat' ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.44/1.83 'tc_nat' ) ) ],
% 1.44/1.83 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc', hAPP( 'c_Suc',
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), X ), 'tc_nat' ) ],
% 1.44/1.83 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( hAPP( 'c_Suc', hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc', hAPP( 'c_Suc',
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), X ) ), 'tc_nat' ) ) ],
% 1.44/1.83 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ) ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Y, 'c_Int_OPls', 'tc_Int_Oint' ) ) ],
% 1.44/1.83 [ 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( X,
% 1.44/1.83 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' )
% 1.44/1.83 , ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_Int_OPls', Y, 'tc_Int_Oint' ) ) ],
% 1.44/1.83 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OPls', X, 'tc_Int_Oint' ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Y, X, 'tc_Int_Oint' ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.44/1.83 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ), 'tc_nat' )
% 1.44/1.83 ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.44/1.83 , Y ) ), 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ) ), ~(
% 1.44/1.83 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.44/1.83 , 'tc_nat' ), 'tc_nat' ) ) ],
% 1.44/1.83 [ =( 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ), hAPP( 'c_Suc',
% 1.44/1.83 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ) ),
% 1.44/1.83 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.44/1.83 [ 'c_HOL_Oord__class_Oless'( 'c_Divides_Odiv__class_Odiv'( X, Y,
% 1.44/1.83 'tc_nat' ), X, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), Y,
% 1.44/1.83 'tc_nat' ) ) ],
% 1.44/1.83 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.44/1.83 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.44/1.83 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.44/1.83 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 1.44/1.83 ) ) ],
% 1.44/1.83 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.44/1.83 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 1.44/1.83 ) ) ],
% 1.44/1.83 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.44/1.83 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 1.44/1.83 [ hBOOL( hAPP( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ), ~( hBOOL( hAPP( X, hAPP(
% 1.44/1.83 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ) ) ) ],
% 1.44/1.83 [ =( 'c_SetInterval_Oord__class_OatLeastLessThan'( X, hAPP( 'c_Suc', Y )
% 1.44/1.83 , 'tc_nat' ), 'c_SetInterval_Oord__class_OatLeastAtMost'( X, Y, 'tc_nat'
% 1.44/1.83 ) ) ],
% 1.44/1.83 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ),
% 1.44/1.83 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ), ~(
% 1.44/1.83 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), X ), 'tc_nat' ) ) ],
% 1.44/1.83 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ),
% 1.44/1.83 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.44/1.83 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ), 'tc_nat' ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.83 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.44/1.83 'c_Int_OMin', X ) ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP(
% 1.44/1.83 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X )
% 1.44/1.83 ), Y ) ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.44/1.83 , Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.44/1.83 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.44/1.83 X ), Y ), Z ) ), T, X ) ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.44/1.83 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastAtMost'( Z
% 1.44/1.83 , hAPP( 'c_Suc', T ), 'tc_nat' ), 'tc_nat', X ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.44/1.83 'c_Suc', T ), Z, 'tc_nat' ) ) ],
% 1.44/1.83 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.44/1.83 'tc_nat' ), X ), Y ), X, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 1.44/1.83 'tc_nat' ) ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP(
% 1.44/1.83 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP(
% 1.44/1.83 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), X ) ), Y ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 1.44/1.83 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.44/1.83 'tc_nat' ), X ), hAPP( 'c_Suc', Y ) ), X, 'tc_nat' ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.44/1.83 'tc_nat' ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.44/1.83 Y ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.44/1.83 Y ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.44/1.83 ), X ) ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.44/1.83 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP(
% 1.44/1.83 'c_HOL_Oabs__class_Oabs'( X ), Y ), X ) ],
% 1.44/1.83 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.44/1.83 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.44/1.83 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.44/1.83 'c_lessequals'( Z, Y, X ) ],
% 1.44/1.83 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.44/1.83 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.44/1.83 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.44/1.83 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.44/1.83 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 1.44/1.83 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.44/1.83 'class_Int_Onumber__ring'( X ) ), =( hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.44/1.83 , hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ) ), Y ) ),
% 1.44/1.83 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.44/1.83 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.44/1.83 'c_Int_OMin', X ) ), Y ), 'c_HOL_Oone__class_Oone'( X ) ), ~(
% 1.44/1.83 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.44/1.83 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Y
% 1.44/1.83 , 'tc_nat' ), 'tc_nat' ), 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.83 X ), X ), ~( 'c_lessequals'( hAPP( hAPP( 'c_Power_Opower__class_Opower'(
% 1.44/1.83 X ), Z ), 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.44/1.83 ), Y ), 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.44/1.83 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.44/1.83 , 'tc_nat' ), 'tc_nat' ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.44/1.83 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.44/1.83 , 'tc_nat' ), 'tc_nat' ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.83 X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), X ), ~(
% 1.44/1.83 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ),
% 1.44/1.83 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.44/1.83 , 'tc_nat' ), 'tc_nat' ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.44/1.83 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Y
% 1.44/1.83 , 'tc_nat' ), 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), X ), ~(
% 1.44/1.83 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.44/1.83 , 'tc_nat' ), 'tc_nat' ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'(
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ), 'tc_nat' ) ), ~(
% 1.44/1.83 'c_lessequals'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ),
% 1.44/1.83 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.44/1.83 , 'tc_nat' ), 'tc_nat' ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), X ), =( Y,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'(
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 1.44/1.83 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 1.44/1.83 , Y, X ) ) ],
% 1.44/1.83 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'( Y
% 1.44/1.83 , Z, X ), ~( 'c_SEQ_OLIMSEQ'( 'c_COMBS'( 'c_COMBB'(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( X ), Y, X, 'tc_fun'( X, X ), 'tc_nat' ), T
% 1.44/1.83 , 'tc_nat', X, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.44/1.83 'c_SEQ_OLIMSEQ'( T, Z, X ) ) ],
% 1.44/1.83 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'( Y
% 1.44/1.83 , Z, X ), ~( 'c_SEQ_OLIMSEQ'( 'c_COMBS'( 'c_COMBB'(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( X ), T, X, 'tc_fun'( X, X ), 'tc_nat' ), Y
% 1.44/1.83 , 'tc_nat', X, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.44/1.83 'c_SEQ_OLIMSEQ'( T, Z, X ) ) ],
% 1.44/1.83 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.44/1.83 'c_COMBS'( 'c_COMBB'( 'c_HOL_Oinverse__class_Odivide'( X ), Y, X,
% 1.44/1.83 'tc_fun'( X, X ), 'tc_nat' ), Z, 'tc_nat', X, X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ), X ), =( U,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_SEQ_OLIMSEQ'( Z, U, X ) ), ~(
% 1.44/1.83 'c_SEQ_OLIMSEQ'( Y, T, X ) ) ],
% 1.44/1.83 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OPls', X, 'tc_Int_Oint' ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.44/1.83 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ), 'tc_nat' ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_Int_OPls', X, 'tc_Int_Oint' ) ) ],
% 1.44/1.83 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), 'c_Series_Osuminf'( Y, X ) ),
% 1.44/1.83 'c_Series_Osuminf'( Z, X ) ), 'c_Series_Osuminf'( 'c_COMBS'( 'c_COMBB'(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), Y, X, 'tc_fun'( X, X ), 'tc_nat' ), Z,
% 1.44/1.83 'tc_nat', X, X ), X ) ), ~( 'c_Series_Osummable'( Z, X ) ), ~(
% 1.44/1.83 'c_Series_Osummable'( Y, X ) ) ],
% 1.44/1.83 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), 'c_Series_Osuminf'( Y, X ) ), Z ),
% 1.44/1.83 'c_Series_Osuminf'( 'c_COMBC'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X
% 1.44/1.83 ), Y, X, 'tc_fun'( X, X ), 'tc_nat' ), Z, 'tc_nat', X, X ), X ) ), ~(
% 1.44/1.83 'c_Series_Osummable'( Y, X ) ) ],
% 1.44/1.83 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), 'c_Series_Osuminf'( Y, X ) ), Z ),
% 1.44/1.83 'c_Series_Osuminf'( 'c_COMBC'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X
% 1.44/1.83 ), Y, X, 'tc_fun'( X, X ), 'tc_nat' ), Z, 'tc_nat', X, X ), X ) ), ~(
% 1.44/1.83 'c_Series_Osummable'( Y, X ) ) ],
% 1.44/1.83 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.83 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ),
% 1.44/1.83 'c_Divides_Odiv__class_Omod'( Y, Z, 'tc_nat' ) ) ), T ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ), 'tc_nat' ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( T, X, 'tc_nat' ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 1.44/1.83 'tc_nat' ) ) ],
% 1.44/1.83 [ ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ), =( Y,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( hBOOL( hAPP( Z,
% 1.44/1.83 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.83 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), T
% 1.44/1.83 ) ), X ), Y, 'tc_nat' ) ) ) ), hBOOL( hAPP( Z, X ) ) ],
% 1.44/1.83 [ ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ), =( Y,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( hBOOL( hAPP( Z,
% 1.44/1.83 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.83 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), T
% 1.44/1.83 ) ), X ), Y, 'tc_nat' ) ) ) ), hBOOL( hAPP( Z, T ) ) ],
% 1.44/1.83 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ) ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ), X ), Y ), 'tc_nat' ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Y, 'c_Int_OPls', 'tc_Int_Oint' ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( X, 'c_Int_OPls', 'tc_Int_Oint' ) ],
% 1.44/1.83 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), hAPP(
% 1.44/1.83 'c_Suc', hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'(
% 1.44/1.83 'tc_nat' ) ) ), Y ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.44/1.83 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.44/1.83 Z, hAPP( 'c_Suc', T ), 'tc_nat' ), 'tc_nat', X ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z,
% 1.44/1.83 'tc_nat' ) ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.44/1.83 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.44/1.83 Z, hAPP( 'c_Suc', T ), 'tc_nat' ), 'tc_nat', X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), 'c_Finite__Set_Osetsum'( Y,
% 1.44/1.83 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, 'tc_nat' ), 'tc_nat'
% 1.44/1.83 , X ) ), hAPP( Y, T ) ) ), 'c_HOL_Oord__class_Oless'( T, Z, 'tc_nat' ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.44/1.83 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.44/1.83 Z, T, 'tc_nat' ), 'tc_nat', X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.83 X ), hAPP( Y, Z ) ), 'c_Finite__Set_Osetsum'( Y,
% 1.44/1.83 'c_SetInterval_Oord__class_OatLeastLessThan'( hAPP( 'c_Suc', Z ), T,
% 1.44/1.83 'tc_nat' ), 'tc_nat', X ) ) ), ~( 'c_HOL_Oord__class_Oless'( Z, T,
% 1.44/1.83 'tc_nat' ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.44/1.83 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.44/1.83 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.44/1.83 , ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.44/1.83 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.44/1.83 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.44/1.83 , ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.44/1.83 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.44/1.83 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.44/1.83 , ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.44/1.83 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.44/1.83 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 1.44/1.83 , ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.44/1.83 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.44/1.83 , ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.44/1.83 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.44/1.83 , ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.44/1.83 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X )
% 1.44/1.83 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.44/1.83 , ~( 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.44/1.83 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X )
% 1.44/1.83 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) )
% 1.44/1.83 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.44/1.83 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X )
% 1.44/1.83 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.44/1.83 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X )
% 1.44/1.83 , ~( 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.44/1.83 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.44/1.83 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 1.44/1.83 , ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ), =( Y,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ), =( Z,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.44/1.83 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.44/1.83 ), Y ), Z ), Y, X ), Z ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.83 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.44/1.83 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.44/1.83 ), Y ), Z ), Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), Z ), Y ), =( Z,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y, hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), Z ) ), =( Z,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ), Y ), Z ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ), Y ) ) ],
% 1.44/1.83 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.44/1.83 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.44/1.83 ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z )
% 1.44/1.83 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.44/1.83 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.83 X ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.44/1.83 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.83 X ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.44/1.83 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.44/1.83 Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.83 X ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.44/1.83 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.44/1.83 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.83 X ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.44/1.83 , Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.44/1.83 , Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.44/1.83 , Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ), 'c_lessequals'( hAPP(
% 1.44/1.83 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), ~( 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Z, T, X ) )
% 1.44/1.83 ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'( hAPP(
% 1.44/1.83 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), ~( 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Z, T, X ) )
% 1.44/1.83 ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'( hAPP(
% 1.44/1.83 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ), ~( 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.44/1.83 ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.44/1.83 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), ~( 'c_lessequals'( Y,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Z, X ) ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.44/1.83 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ), ~( 'c_lessequals'( Z,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.83 X ), Y ), Z ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 1.44/1.83 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.83 X ), Y ), Z ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.44/1.83 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.83 X ), Y ), Z ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.44/1.83 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.44/1.83 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ), X ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.44/1.83 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.44/1.83 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~( 'c_lessequals'( Z,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.44/1.83 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.44/1.83 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.83 X ), Y ), Z ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.44/1.83 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.83 X ), Z ), Y ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.44/1.83 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.83 X ), Y ), Z ), X ) ) ],
% 1.44/1.83 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.44/1.83 'c_COMBS'( 'c_COMBB'( 'c_HOL_Ominus__class_Ominus'( X ), Y, X, 'tc_fun'(
% 1.44/1.83 X, X ), 'tc_nat' ), Z, 'tc_nat', X, X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( X ), T ), U ), X ), ~( 'c_SEQ_OLIMSEQ'( Z,
% 1.44/1.83 U, X ) ), ~( 'c_SEQ_OLIMSEQ'( Y, T, X ) ) ],
% 1.44/1.83 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 1.44/1.83 'c_Series_Osummable'( 'c_COMBS'( 'c_COMBB'( 'c_HOL_Ominus__class_Ominus'(
% 1.44/1.83 X ), Y, X, 'tc_fun'( X, X ), 'tc_nat' ), Z, 'tc_nat', X, X ), X ), ~(
% 1.44/1.83 'c_Series_Osummable'( Z, X ) ), ~( 'c_Series_Osummable'( Y, X ) ) ],
% 1.44/1.83 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.83 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.44/1.83 , X ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) )
% 1.44/1.83 ],
% 1.44/1.83 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.83 'tc_nat' ), Z ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.44/1.83 , Z ), Y ), 'tc_nat' ) ) ],
% 1.44/1.83 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.83 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.44/1.83 , Z ), Y ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) )
% 1.44/1.83 ],
% 1.44/1.83 [ ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.83 'tc_nat' ), X ), Y ), X, 'tc_nat' ) ) ],
% 1.44/1.83 [ ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.83 'tc_nat' ), X ), Y ), Y, 'tc_nat' ) ) ],
% 1.44/1.83 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.83 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.44/1.83 , Z ), T ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Y, T, 'tc_nat' ) )
% 1.44/1.83 , ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 1.44/1.83 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), hAPP( hAPP( Y, Z ), U ) )
% 1.44/1.83 , hAPP( hAPP( Y, Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.44/1.83 , T ), U ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( W, X, Y, V0, V1, V2
% 1.44/1.83 ) ) ],
% 1.44/1.83 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.44/1.83 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ) ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 X, T, 'tc_nat' ) ],
% 1.44/1.83 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP(
% 1.44/1.83 'c_Suc', Y ) ), hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.83 'tc_nat' ), X ), Y ) ) ) ],
% 1.44/1.83 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( 'c_Suc',
% 1.44/1.83 X ) ), Y ), hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.83 'tc_nat' ), X ), Y ) ) ) ],
% 1.44/1.83 [ ~( hBOOL( hAPP( X, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat'
% 1.44/1.83 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ), Y ) )
% 1.44/1.83 ) ), hBOOL( hAPP( X, Z ) ) ],
% 1.44/1.83 [ ~( hBOOL( hAPP( X, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat'
% 1.44/1.83 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ), Y ) )
% 1.44/1.83 ) ), hBOOL( hAPP( X, Z ) ) ],
% 1.44/1.83 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( 'c_Suc',
% 1.44/1.83 X ) ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP(
% 1.44/1.83 'c_Suc', Y ) ) ) ],
% 1.44/1.83 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ) ],
% 1.44/1.83 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ) ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Z ) ) ],
% 1.44/1.83 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ), ~(
% 1.44/1.83 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ),
% 1.44/1.83 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ), 'tc_nat' ) ],
% 1.44/1.83 [ 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ),
% 1.44/1.83 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ),
% 1.44/1.83 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ) ],
% 1.44/1.83 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ) ), ~(
% 1.44/1.83 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ),
% 1.44/1.83 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.44/1.83 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ) ),
% 1.44/1.83 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), ~(
% 1.44/1.83 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.44/1.83 [ 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ), ~(
% 1.44/1.83 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), ~(
% 1.44/1.83 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ), 'tc_nat' ) ) ],
% 1.44/1.83 [ 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ), ~(
% 1.44/1.83 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), ~(
% 1.44/1.83 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ) ) ],
% 1.44/1.83 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ),
% 1.44/1.83 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ),
% 1.44/1.83 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.44/1.83 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), ~(
% 1.44/1.83 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), ~(
% 1.44/1.83 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.44/1.83 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ),
% 1.44/1.83 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), ~(
% 1.44/1.83 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ), 'tc_nat' ) ) ],
% 1.44/1.83 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ),
% 1.44/1.83 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), ~(
% 1.44/1.83 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ) ) ],
% 1.44/1.83 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), ~(
% 1.44/1.83 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), ~(
% 1.44/1.83 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.44/1.83 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ),
% 1.44/1.83 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ),
% 1.44/1.83 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.44/1.83 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.83 'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 1.44/1.83 'tc_nat' ) ) ],
% 1.44/1.83 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.83 'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z,
% 1.44/1.83 'tc_nat' ) ) ],
% 1.44/1.83 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.83 'tc_nat' ), X ), Z ), Y, 'tc_nat' ) ) ],
% 1.44/1.83 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.83 'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 1.44/1.83 'tc_nat' ) ) ],
% 1.44/1.83 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.83 'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z,
% 1.44/1.83 'tc_nat' ) ) ],
% 1.44/1.83 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.44/1.83 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), X ), Y ) ],
% 1.44/1.83 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Y ), X ) ],
% 1.44/1.83 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ),
% 1.44/1.83 'c_Series_Osummable'( 'c_COMBC'( 'c_COMBB'(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), Y, X, 'tc_fun'( X, X ), 'tc_nat' )
% 1.44/1.83 , Z, 'tc_nat', X, X ), X ), ~( 'c_Series_Osummable'( Y, X ) ) ],
% 1.44/1.83 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ),
% 1.44/1.83 'c_Series_Osummable'( 'c_COMBC'( 'c_COMBB'(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), Y, X, 'tc_fun'( X, X ), 'tc_nat' )
% 1.44/1.83 , Z, 'tc_nat', X, X ), X ), ~( 'c_Series_Osummable'( Y, X ) ) ],
% 1.44/1.83 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.44/1.83 'c_COMBC'( 'c_COMBB'( 'c_HOL_Oinverse__class_Odivide'( X ), Y, X,
% 1.44/1.83 'tc_fun'( X, X ), 'tc_nat' ), Z, 'tc_nat', X, X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ), ~( 'c_SEQ_OLIMSEQ'(
% 1.44/1.83 Y, T, X ) ) ],
% 1.44/1.83 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.44/1.83 'c_COMBC'( 'c_COMBB'( 'c_HOL_Ominus__class_Ominus'( X ), Y, X, 'tc_fun'(
% 1.44/1.83 X, X ), 'tc_nat' ), Z, 'tc_nat', X, X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( X ), T ), Z ), X ), ~( 'c_SEQ_OLIMSEQ'( Y,
% 1.44/1.83 T, X ) ) ],
% 1.44/1.83 [ =( 'c_Divides_Odiv__class_Omod'( hAPP( 'c_Suc', hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), Z ) ), Y, 'tc_nat'
% 1.44/1.83 ), 'c_Divides_Odiv__class_Omod'( hAPP( 'c_Suc', Z ), Y, 'tc_nat' ) ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ =( 'c_Divides_Odiv__class_Omod'( X, hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ), 'tc_nat' ), hAPP(
% 1.44/1.83 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ),
% 1.44/1.83 'c_Divides_Odiv__class_Omod'( 'c_Divides_Odiv__class_Odiv'( X, Y,
% 1.44/1.83 'tc_nat' ), Z, 'tc_nat' ) ) ), 'c_Divides_Odiv__class_Omod'( X, Y,
% 1.44/1.83 'tc_nat' ) ) ) ],
% 1.44/1.83 [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), Z, 'tc_nat' ), hAPP(
% 1.44/1.83 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ),
% 1.44/1.83 'c_Divides_Odiv__class_Odiv'( Y, Z, 'tc_nat' ) ) ),
% 1.44/1.83 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.83 'tc_nat' ), X ), 'c_Divides_Odiv__class_Omod'( Y, Z, 'tc_nat' ) ), Z,
% 1.44/1.83 'tc_nat' ) ) ) ],
% 1.44/1.83 [ 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ),
% 1.44/1.83 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), ~(
% 1.44/1.83 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), X ), 'tc_nat' ) ) ],
% 1.44/1.83 [ =( 'c_Divides_Odiv__class_Odiv'( X, hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ), 'tc_nat' ),
% 1.44/1.83 'c_Divides_Odiv__class_Odiv'( 'c_Divides_Odiv__class_Odiv'( X, Y,
% 1.44/1.83 'tc_nat' ), Z, 'tc_nat' ) ) ],
% 1.44/1.83 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 'tc_nat' ), ~(
% 1.44/1.83 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.44/1.83 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 'tc_nat' ), ~(
% 1.44/1.83 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ) ],
% 1.44/1.83 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ),
% 1.44/1.83 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ) ), ~(
% 1.44/1.83 'c_Groebner__Basis_Ogb__semiring'( U, W, X, V0, V1, V2 ) ) ],
% 1.44/1.83 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP(
% 1.44/1.83 'c_Suc', X ) ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' )
% 1.44/1.83 , hAPP( 'c_Suc', X ) ), Z ) ) ), =( Y, Z ) ],
% 1.44/1.83 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.83 'tc_nat' ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.44/1.83 ), Z ), Y ), 'tc_nat' ) ) ],
% 1.44/1.83 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.83 'tc_nat' ), X ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.44/1.83 ), Y ), Z ), 'tc_nat' ) ) ],
% 1.44/1.83 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.44/1.83 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), hAPP(
% 1.44/1.83 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ) ],
% 1.44/1.83 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.44/1.83 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ) ), Z ),
% 1.44/1.83 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.83 'tc_nat' ), X ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.44/1.83 ), Y ), Z ), 'tc_nat' ) ) ],
% 1.44/1.83 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ),
% 1.44/1.83 'c_Divides_Odiv__class_Omod'( Y, Z, 'tc_nat' ) ),
% 1.44/1.83 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.83 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.44/1.83 ), X ), Z ), 'tc_nat' ) ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.44/1.83 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastAtMost'( Z
% 1.44/1.83 , hAPP( 'c_Suc', T ), 'tc_nat' ), 'tc_nat', X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), hAPP( Y, Z ) ), 'c_Finite__Set_Osetsum'(
% 1.44/1.83 'c_COMBB'( Y, 'c_Suc', 'tc_nat', X, 'tc_nat' ),
% 1.44/1.83 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, 'tc_nat' ), 'tc_nat', X
% 1.44/1.83 ) ) ), 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', T ), Z, 'tc_nat' ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ =( hAPP( hAPP( X, Y ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), Y ),
% 1.44/1.83 ~( 'c_Groebner__Basis_Ogb__semiring'( Z, T, X, U, W, V0 ) ) ],
% 1.44/1.83 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Oone__class_Oone'(
% 1.44/1.83 'tc_nat' ), 'tc_nat' ) ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.44/1.83 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastAtMost'(
% 1.44/1.83 hAPP( 'c_Suc', Z ), hAPP( 'c_Suc', T ), 'tc_nat' ), 'tc_nat', X ),
% 1.44/1.83 'c_Finite__Set_Osetsum'( 'c_COMBB'( Y, 'c_Suc', 'tc_nat', X, 'tc_nat' ),
% 1.44/1.83 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, 'tc_nat' ), 'tc_nat', X
% 1.44/1.83 ) ) ],
% 1.44/1.83 [ =( 'c_Set_Oimage'( 'c_COMBC'( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.44/1.83 X, 'tc_nat', 'tc_nat', 'tc_nat' ),
% 1.44/1.83 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, 'tc_nat' ), 'tc_nat',
% 1.44/1.83 'tc_nat' ), 'c_SetInterval_Oord__class_OatLeastAtMost'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), X ), 'tc_nat' ) ) ],
% 1.44/1.83 [ ~( =( 'c_Divides_Odiv__class_Omod'( X,
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit0'(
% 1.44/1.83 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat' ), 'tc_nat' ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.44/1.83 'c_Int_OPls' ) ), 'tc_nat' ) ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'(
% 1.44/1.83 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.44/1.83 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.83 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ), 'tc_nat' ) ) ],
% 1.44/1.83 [ ~( =( 'c_Divides_Odiv__class_Omod'( X,
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit0'(
% 1.44/1.83 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat' ), 'tc_nat' ),
% 1.44/1.83 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ),
% 1.44/1.83 'c_Parity_Oeven__odd__class_Oeven'( 'c_Divides_Odiv__class_Odiv'( hAPP(
% 1.44/1.83 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ),
% 1.44/1.83 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.83 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ), 'tc_nat' ) ],
% 1.44/1.83 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'(
% 1.44/1.83 'c_COMBS'( 'c_COMBB'( 'c_HOL_Oinverse__class_Odivide'( X ), Y, X,
% 1.44/1.83 'tc_fun'( X, X ), X ), Z, X, X, X ), T, hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), U ), hAPP( Z, T ) ) ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), hAPP( Y, T ) ), W ) ) ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), hAPP( Z, T ) ), hAPP( Z, T ) ) ), X )
% 1.44/1.83 , =( hAPP( Z, T ), 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Deriv_Oderiv'(
% 1.44/1.83 Z, T, W, X ) ), ~( 'c_Deriv_Oderiv'( Y, T, U, X ) ) ],
% 1.44/1.83 [ ~( =( 'c_FFT__Mirabelle_Oroot'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.83 'tc_Complex_Ocomplex' ) ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.83 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~( 'c_lessequals'( Y,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ), ~( 'c_lessequals'(
% 1.44/1.83 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.83 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~( 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ), ~( 'c_lessequals'(
% 1.44/1.83 Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.83 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~( 'c_lessequals'(
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.44/1.83 ), X ) ), ~( 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.83 X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ) ), ~(
% 1.44/1.83 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z, X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.83 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.44/1.83 ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.44/1.83 , 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z, X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.83 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.44/1.83 ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.83 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Z
% 1.44/1.83 , X ) ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Z, X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.83 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.44/1.83 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.44/1.83 , 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z, X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.83 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.44/1.83 hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z, X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.83 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.44/1.83 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.83 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.44/1.83 , 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), Y, X ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.44/1.83 ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.83 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.44/1.83 ), Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.83 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.44/1.83 , T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.83 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.44/1.83 ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.83 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.44/1.83 , 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), Y, X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.83 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.44/1.83 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.83 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Z ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.44/1.83 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.83 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.83 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.44/1.83 ), X ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), T ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.83 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.44/1.83 ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.83 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Z
% 1.44/1.83 , X ) ), T ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.83 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.44/1.83 , 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z, X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.83 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.44/1.83 , X ) ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.83 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.44/1.83 ), X ) ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.44/1.83 ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), Y, X ) ), ~(
% 1.44/1.83 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.83 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.44/1.83 , 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), Y, X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.83 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.44/1.83 , X ) ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.83 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.44/1.83 ), Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.44/1.83 , Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.83 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.44/1.83 , T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.44/1.83 ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.83 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.44/1.83 , 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), Y, X ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.44/1.83 ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.83 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.44/1.83 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.83 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.44/1.83 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.83 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.44/1.83 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.44/1.83 , Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.83 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.44/1.83 ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.83 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.44/1.83 , Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.83 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.44/1.83 X ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.83 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.44/1.83 ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.44/1.83 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.83 X ), Z ), Y ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 1.44/1.83 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X ), ~( 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( Z, U, X ) )
% 1.44/1.83 , ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 1.44/1.83 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X ), ~( 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Z, U, X ) )
% 1.44/1.83 , ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.44/1.83 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.44/1.83 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.44/1.83 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X
% 1.44/1.83 ), 'c_Divides_Odiv__class_Odiv'( Z, T, X ) ), =( Y,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.83 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.44/1.83 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.44/1.83 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X
% 1.44/1.83 ), 'c_Divides_Odiv__class_Odiv'( Y, T, X ) ), =( Z,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.44/1.83 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.44/1.83 ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.44/1.83 , Z ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X )
% 1.44/1.83 ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.44/1.83 , Y ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.44/1.83 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.44/1.83 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.44/1.83 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.44/1.83 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.44/1.83 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.44/1.83 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.44/1.83 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.44/1.83 ), Y ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y, hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), Z ) ), =( Z,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), Z ), Y ), =( Z,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.83 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.44/1.83 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.44/1.83 ), Y ), Z ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.83 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.44/1.83 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.44/1.83 ), Y ), Z ), Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.44/1.83 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.44/1.83 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ) ) ), =( U,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.44/1.83 ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), U ), hAPP(
% 1.44/1.83 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ) ), =( Z,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ) ), =( U, 'c_HOL_Ozero__class_Ozero'( X )
% 1.44/1.83 ), =( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), U ), hAPP(
% 1.44/1.83 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.44/1.83 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.44/1.83 ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.44/1.83 ), Y ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP(
% 1.44/1.83 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), 'c_HOL_Ozero__class_Ozero'( X
% 1.44/1.83 ) ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.44/1.83 ), Y ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.44/1.83 ), Y ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~(
% 1.44/1.83 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.44/1.83 =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.44/1.83 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 1.44/1.83 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ), ~(
% 1.44/1.83 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.44/1.83 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 1.44/1.83 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ), ~(
% 1.44/1.83 'c_lessequals'( Y, Z, X ) ), ~( 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 1.44/1.83 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 1.44/1.83 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.44/1.83 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.44/1.83 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.44/1.83 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.44/1.83 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_Power_Opower_Opower'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), X ), Y
% 1.44/1.83 ), Z ) ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP(
% 1.44/1.83 hAPP( 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), Z ) ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.44/1.83 , Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ) ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.44/1.83 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_Power_Opower_Opower'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), X ), Y
% 1.44/1.83 ), T ) ), hAPP( hAPP( 'c_Power_Opower_Opower'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), X ), Z
% 1.44/1.83 ), T ) ) ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.44/1.83 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.44/1.83 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ) ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.44/1.83 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ), ~( 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X
% 1.44/1.83 ) ) ), =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X
% 1.44/1.83 ) ) ), =( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.44/1.83 Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.44/1.83 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.44/1.83 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.44/1.83 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.44/1.83 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.44/1.83 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'(
% 1.44/1.83 'c_COMBB'( Y, Z, X, X, X ), T, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.83 X ), U ), W ), X ), ~( 'c_Deriv_Oderiv'( Z, T, W, X ) ), ~(
% 1.44/1.83 'c_Deriv_Oderiv'( Y, hAPP( Z, T ), U, X ) ) ],
% 1.44/1.83 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'(
% 1.44/1.83 'c_COMBB'( Y, Z, X, X, X ), T, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.83 X ), U ), W ), X ), ~( 'c_Deriv_Oderiv'( Y, hAPP( Z, T ), U, X ) ), ~(
% 1.44/1.83 'c_Deriv_Oderiv'( Z, T, W, X ) ) ],
% 1.44/1.83 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 1.44/1.83 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBB'( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Z ), T, X, X, Y ), U, hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Z ), W ), Y, X ), ~( 'c_Lim_OLIM'( T,
% 1.44/1.83 U, W, Y, X ) ) ],
% 1.44/1.83 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'(
% 1.44/1.83 'c_COMBB'( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z, X, X, X ), T
% 1.44/1.83 , hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), U ), X ), ~(
% 1.44/1.83 'c_Deriv_Oderiv'( Z, T, U, X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.83 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.44/1.83 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.83 X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.83 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.44/1.83 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X
% 1.44/1.83 ) ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.83 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.44/1.83 X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), =(
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.44/1.83 ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.83 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.44/1.83 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X
% 1.44/1.83 ) ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.83 'class_Int_Onumber'( X ) ), ~( =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.44/1.83 ) ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =(
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.44/1.83 ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.83 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.44/1.83 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.83 X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Y ), 'c_HOL_Oone__class_Oone'(
% 1.44/1.83 X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Y ), 'c_HOL_Oone__class_Oone'(
% 1.44/1.83 X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Y ), 'c_HOL_Oone__class_Oone'(
% 1.44/1.83 X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), 'c_HOL_Oone__class_Oone'(
% 1.44/1.83 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, Z ) ],
% 1.44/1.83 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.44/1.83 'c_Divides_Odiv__class_Odiv'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 1.44/1.83 , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ), X ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.44/1.83 'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.44/1.83 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.83 X ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.44/1.83 'c_HOL_Oone__class_Oone'( X ), X ) ],
% 1.44/1.83 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.44/1.83 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.44/1.83 , Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), T, X )
% 1.44/1.83 , 'c_Divides_Odiv__class_Omod'( Y, T, X ) ) ],
% 1.44/1.83 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.44/1.83 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.44/1.83 , Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), Z, X )
% 1.44/1.83 , 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 1.44/1.83 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.83 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( X ), Y ), T ) ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( X ), Z ), U ) ) ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( X ), Y ), T ) ), U ) ) ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), T ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( X ), Z ), U ) ) ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.83 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( X ), T ), Y ) ), Z ) ), U ) ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.83 X ), T ), Z ) ), U ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.83 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.44/1.83 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.83 X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), U ) ), Z ) ), T
% 1.44/1.83 ) ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.83 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.44/1.83 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ) ) ), =( hAPP(
% 1.44/1.83 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( X ), Y ), U ) ), Z ) ), T ), W ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.83 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.44/1.83 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ) ) ), =( T, hAPP(
% 1.44/1.83 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( X ), U ), Y ) ), Z ) ), W ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( 'class_Int_Onumber'( X )
% 1.44/1.83 ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.44/1.83 , X ) ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ) ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( 'class_Int_Onumber'( X )
% 1.44/1.83 ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( T, X ) ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Z ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ) ],
% 1.44/1.83 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ), Y ), Z ), X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.44/1.83 ) ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ) ],
% 1.44/1.83 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.44/1.83 ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T ) ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), 'c_Int_Onumber__class_Onumber__of'( hAPP(
% 1.44/1.83 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ), Y ), Z ), X ) ), T ) )
% 1.44/1.83 ],
% 1.44/1.83 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.44/1.83 ) ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ), Y ), Z ), X ) ) ],
% 1.44/1.83 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'(
% 1.44/1.83 'c_COMBS'( 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'( X ), Y, X, 'tc_fun'( X
% 1.44/1.83 , X ), X ), 'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'( X ), Z, X, X, X )
% 1.44/1.83 , X, X, X ), T, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), U ), hAPP(
% 1.44/1.83 'c_HOL_Ouminus__class_Ouminus'( X ), W ) ), X ), ~( 'c_Deriv_Oderiv'( Z,
% 1.44/1.83 T, W, X ) ), ~( 'c_Deriv_Oderiv'( Y, T, U, X ) ) ],
% 1.44/1.83 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.44/1.83 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBS'(
% 1.44/1.83 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'( X ), Z, X, 'tc_fun'( X, X ), Y ),
% 1.44/1.83 'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'( X ), T, X, X, Y ), Y, X, X ),
% 1.44/1.83 U, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), W ), hAPP(
% 1.44/1.83 'c_HOL_Ouminus__class_Ouminus'( X ), V0 ) ), Y, X ), ~( 'c_Lim_OLIM'( T,
% 1.44/1.83 U, V0, Y, X ) ), ~( 'c_Lim_OLIM'( Z, U, W, Y, X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Z, X ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.44/1.83 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP(
% 1.44/1.83 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.44/1.83 X ), 'c_HOL_Oone__class_Oone'( X ) ) ), Y ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.44/1.83 , Y ), 'c_HOL_Oone__class_Oone'( X ) ), X ) ],
% 1.44/1.83 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_Lim_OLIM'(
% 1.44/1.83 'c_COMBC'( 'c_HOL_Otimes__class_Otimes'( X ), Y, X, X, X ), Z, hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ), X, X ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_lessequals'( Y,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.83 X ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.44/1.83 ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.44/1.83 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ), hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), T ), Z ), X ), ~( 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.44/1.83 ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.44/1.83 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.44/1.83 hAPP( 'c_Suc', Y ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.83 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Z ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.44/1.83 ), Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.44/1.83 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), ~(
% 1.44/1.83 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBC'(
% 1.44/1.83 'c_COMBB'( 'c_HOL_Oinverse__class_Odivide'( X ), Z, X, 'tc_fun'( X, X ),
% 1.44/1.83 Y ), T, Y, X, X ), U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.44/1.83 'c_Lim_OLIM'( Z, U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.44/1.83 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.44/1.83 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBC'(
% 1.44/1.83 'c_COMBB'( 'c_HOL_Ominus__class_Ominus'( X ), Z, X, 'tc_fun'( X, X ), Y )
% 1.44/1.83 , T, Y, X, X ), U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.44/1.83 'c_Lim_OLIM'( Z, U, T, Y, X ) ) ],
% 1.44/1.83 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.44/1.83 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( Z, T, U, Y, X ),
% 1.44/1.83 ~( 'c_Lim_OLIM'( 'c_COMBC'( 'c_COMBB'( 'c_HOL_Ominus__class_Ominus'( X )
% 1.44/1.83 , Z, X, 'tc_fun'( X, X ), Y ), U, Y, X, X ), T,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.44/1.83 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 1.44/1.83 'class_RealVector_Oreal__normed__vector'( Y ) ), 'c_Lim_OLIM'( 'c_COMBB'(
% 1.44/1.83 Z, 'c_COMBC'( 'c_HOL_Oplus__class_Oplus'( Y ), T, Y, Y, Y ), Y, X, Y ),
% 1.44/1.83 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( Y ), U ), T ), W, Y, X ), ~(
% 1.44/1.83 'c_Lim_OLIM'( Z, U, W, Y, X ) ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.44/1.83 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 'c_Finite__Set_Osetsum'(
% 1.44/1.83 'c_COMBB'( 'c_HOL_Oabs__class_Oabs'( X ), Y, X, X, Z ), T, Z, X ), X ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.44/1.83 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.44/1.83 ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Int_OPls', 'tc_Int_Oint' ) )
% 1.44/1.83 ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.44/1.83 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.44/1.83 'c_Int_OPls', 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.44/1.83 ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.44/1.83 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.44/1.83 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_Int_OPls', Y, 'tc_Int_Oint' ) )
% 1.44/1.83 ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.44/1.83 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_OPls'
% 1.44/1.83 , Y, 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.44/1.83 ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.44/1.83 ), Y ), Z ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), T ),
% 1.44/1.83 X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X )
% 1.44/1.83 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.44/1.83 ), ~( 'c_HOL_Oord__class_Oless'( T, Z, 'tc_nat' ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.44/1.83 ), Y ), hAPP( 'c_Suc', Z ) ), 'c_HOL_Oone__class_Oone'( X ), X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'(
% 1.44/1.83 'c_COMBS'( 'c_COMBB'( 'c_HOL_Oinverse__class_Odivide'( X ), Y, X,
% 1.44/1.83 'tc_fun'( X, X ), X ), Z, X, X, X ), T, hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), U ), hAPP( Z, T ) ) ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), W ), hAPP( Y, T ) ) ) ), hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), hAPP( Z, T ) ), hAPP( 'c_Suc', hAPP(
% 1.44/1.83 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ), X ), =( hAPP( Z
% 1.44/1.83 , T ), 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Deriv_Oderiv'( Z, T, W, X
% 1.44/1.83 ) ), ~( 'c_Deriv_Oderiv'( Y, T, U, X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y
% 1.44/1.83 ), X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.44/1.83 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.44/1.83 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ), =( Z,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.44/1.83 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ), =( Z,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.44/1.83 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), =( Y,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_lessequals'( hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y
% 1.44/1.83 ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), Y ), Z ), hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), T ), Z ) ) ), =( Y, T ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 1.44/1.83 'tc_nat' ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 1.44/1.83 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.44/1.83 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( hAPP( 'c_Suc', hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.83 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ), 'tc_nat' ) ) ],
% 1.44/1.83 [ =( hAPP( hAPP( X, Y ), hAPP( 'c_Suc', hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.83 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ), hAPP( hAPP( T, Y ), hAPP( hAPP(
% 1.44/1.83 T, hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, Y ), Z ) ) ) ), ~(
% 1.44/1.83 'c_Groebner__Basis_Ogb__semiring'( U, T, X, W, V0, V1 ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_Finite__Set_Osetsum'(
% 1.44/1.83 hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.44/1.83 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.83 'tc_nat' ), Z, 'tc_nat' ), 'tc_nat', X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), 'c_HOL_Oone__class_Oone'(
% 1.44/1.83 X ) ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ),
% 1.44/1.83 'c_HOL_Oone__class_Oone'( X ) ) ) ), =( Y, 'c_HOL_Oone__class_Oone'( X )
% 1.44/1.83 ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), ~(
% 1.44/1.83 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ) ), hAPP(
% 1.44/1.83 hAPP( 'c_Power_Opower__class_Opower'( X ), T ), hAPP( 'c_Suc', Z ) ) ),
% 1.44/1.83 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( X ), Y ), T ) ), 'c_Finite__Set_Osetsum'(
% 1.44/1.83 'c_COMBS'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), Y ), X, 'tc_fun'( X, X ), 'tc_nat' )
% 1.44/1.83 , 'c_COMBB'( hAPP( 'c_Power_Opower__class_Opower'( X ), T ), hAPP(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), 'tc_nat', X, 'tc_nat' ),
% 1.44/1.83 'tc_nat', X, X ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( 'c_Suc', Z ), 'tc_nat' ),
% 1.44/1.83 'tc_nat', X ) ) ) ],
% 1.44/1.83 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 1.44/1.83 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBB'( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Z ), T, X, X, Y ), U,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_Lim_OLIM'( T, U,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.44/1.83 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 1.44/1.83 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBB'( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Z ), T, X, X, Y ), U,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_Lim_OLIM'( T, U,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.44/1.83 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.44/1.83 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBB'( Z,
% 1.44/1.83 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), X, Y, X ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), hAPP( Z, T ), X, Y ), ~( 'c_Lim_OLIM'( Z
% 1.44/1.83 , T, hAPP( Z, T ), X, Y ) ) ],
% 1.44/1.83 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.44/1.83 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( Z, T, hAPP( Z, T
% 1.44/1.83 ), X, Y ), ~( 'c_Lim_OLIM'( 'c_COMBB'( Z, hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), T ), X, Y, X ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), hAPP( Z, T ), X, Y ) ) ],
% 1.44/1.83 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 1.44/1.83 'class_RealVector_Oreal__normed__vector'( Y ) ), 'c_Lim_OLIM'( 'c_COMBB'(
% 1.44/1.83 Z, hAPP( 'c_HOL_Oplus__class_Oplus'( Y ), T ), Y, X, Y ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( Y ), U, Y, X ), ~( 'c_Lim_OLIM'( Z, T, U, Y,
% 1.44/1.83 X ) ) ],
% 1.44/1.83 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 1.44/1.83 'class_RealVector_Oreal__normed__vector'( Y ) ), 'c_Lim_OLIM'( Z, T, U, Y
% 1.44/1.83 , X ), ~( 'c_Lim_OLIM'( 'c_COMBB'( Z, hAPP( 'c_HOL_Oplus__class_Oplus'( Y
% 1.44/1.83 ), T ), Y, X, Y ), 'c_HOL_Ozero__class_Ozero'( Y ), U, Y, X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ) ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.83 X ), Y ), U ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.44/1.83 ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ), =( U,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.44/1.83 ) ],
% 1.44/1.83 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.44/1.83 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.44/1.83 , Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), Z, X )
% 1.44/1.83 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ),
% 1.44/1.83 'c_Divides_Odiv__class_Odiv'( Y, Z, X ) ) ), =( Z,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.83 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.44/1.83 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.44/1.83 , Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), T, X )
% 1.44/1.83 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ),
% 1.44/1.83 'c_Divides_Odiv__class_Odiv'( Y, T, X ) ) ), =( T,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ), T ) ), =( T,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ), Z ) ), =( Z,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.83 X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.44/1.83 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), X
% 1.44/1.83 ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.44/1.83 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ) ) ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ) ) ), 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.44/1.83 ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.44/1.83 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.83 X ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.44/1.83 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.83 X ), Y ), Y ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z )
% 1.44/1.83 ), X ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.83 X ), Z ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y )
% 1.44/1.83 ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.83 X ), Y ), Y ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z )
% 1.44/1.83 ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.83 X ), Y ), Y ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z )
% 1.44/1.83 ), X ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.83 X ), Y ), Y ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z )
% 1.44/1.83 ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.83 'class_Int_Onumber'( X ) ), ~( =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), =( Y, hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( T
% 1.44/1.83 , X ) ), Z ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.83 'class_Int_Onumber'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.83 X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.83 'class_Int_Onumber'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.44/1.83 , X ) ), Z ) ), Z ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), =( Z,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.83 'class_Int_Onumber'( X ) ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.83 X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y ), =(
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.44/1.83 ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.83 'class_Int_Onumber'( X ) ), =( Y, hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =(
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.44/1.83 ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.83 'class_Int_Onumber'( X ) ), =( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.44/1.83 , hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.44/1.83 , X ) ), Z ) ), Z ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.83 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.44/1.83 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.44/1.83 , X ) ), Z ) ), Z ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.83 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.44/1.83 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.44/1.83 , X ) ), Z ) ), Z ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.83 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.44/1.83 X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ), =(
% 1.44/1.83 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z ), =( T,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.83 'class_Int_Onumber'( X ) ), =( Y, hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =(
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.44/1.83 ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.83 'class_Int_Onumber'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y ), =(
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.44/1.83 ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.83 'class_Int_Onumber'( X ) ), =( 'c_HOL_Ozero__class_Ozero'( X ), hAPP(
% 1.44/1.83 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.44/1.83 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), Y, X ), ~(
% 1.44/1.83 'c_lessequals'( Z, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.44/1.83 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.44/1.83 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.44/1.83 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), Z, X ), ~(
% 1.44/1.83 'c_lessequals'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.44/1.83 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.44/1.83 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.44/1.83 'c_HOL_Oone__class_Oone'( X ) ), X ) ],
% 1.44/1.83 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.44/1.83 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.44/1.83 , Y ), Z ), Z, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.44/1.83 'c_Divides_Odiv__class_Odiv'( Y, Z, X ) ), 'c_HOL_Oone__class_Oone'( X )
% 1.44/1.83 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.83 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.44/1.83 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.44/1.83 , Y ), Z ), Y, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.44/1.83 'c_Divides_Odiv__class_Odiv'( Z, Y, X ) ), 'c_HOL_Oone__class_Oone'( X )
% 1.44/1.83 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.83 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.83 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 1.44/1.83 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBC'(
% 1.44/1.83 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), Z, X, 'tc_fun'( X, X ), Y )
% 1.44/1.83 , T, Y, X, X ), U, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), W ), T
% 1.44/1.83 ), Y, X ), ~( 'c_Lim_OLIM'( Z, U, W, Y, X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.83 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ) ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.83 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 1.44/1.83 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBS'(
% 1.44/1.83 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), Z, X, 'tc_fun'( X, X ), Y )
% 1.44/1.83 , T, Y, X, X ), U, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), W ), V0
% 1.44/1.83 ), Y, X ), ~( 'c_Lim_OLIM'( T, U, V0, Y, X ) ), ~( 'c_Lim_OLIM'( Z, U, W
% 1.44/1.83 , Y, X ) ) ],
% 1.44/1.83 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.44/1.83 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBS'(
% 1.44/1.83 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'( X ), Z, X, 'tc_fun'( X, X ), Y ),
% 1.44/1.83 T, Y, X, X ), U, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), W ), V0 ),
% 1.44/1.83 Y, X ), ~( 'c_Lim_OLIM'( T, U, V0, Y, X ) ), ~( 'c_Lim_OLIM'( Z, U, W, Y
% 1.44/1.83 , X ) ) ],
% 1.44/1.83 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'(
% 1.44/1.83 'c_COMBS'( 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'( X ), Y, X, 'tc_fun'( X
% 1.44/1.83 , X ), X ), Z, X, X, X ), T, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.44/1.83 , U ), W ), X ), ~( 'c_Deriv_Oderiv'( Z, T, W, X ) ), ~( 'c_Deriv_Oderiv'(
% 1.44/1.83 Y, T, U, X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'(
% 1.44/1.83 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.44/1.83 , X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.83 'tc_nat' ) ), X ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y
% 1.44/1.83 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_Power_Opower_Opower'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), X ), Y
% 1.44/1.83 ), Z ) ), hAPP( hAPP( 'c_Power_Opower_Opower'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), X ), Y
% 1.44/1.83 ), T ) ) ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), X ), hAPP( hAPP( 'c_Power_Opower_Opower'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), X ), Y
% 1.44/1.83 ), Z ) ), T ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.44/1.83 X ), Y ) ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.44/1.83 hAPP( 'c_Power_Opower__class_Opower'( X ), hAPP(
% 1.44/1.83 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ), Z
% 1.44/1.83 ) ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.44/1.83 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP(
% 1.44/1.83 hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.44/1.83 [ ~( 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'( X )
% 1.44/1.83 , 'c_Power_Opower_Opower'( 'c_HOL_Oone__class_Oone'( X ),
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.83 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.83 'c_Int_OPls' ) ), X ) ), X ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_lessequals'( Y,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.44/1.83 ), Y ), 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), 'c_HOL_Oone__class_Oone'(
% 1.44/1.83 'tc_nat' ) ), Y ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), 'c_Finite__Set_Osetsum'( Y, Z, T, X
% 1.44/1.83 ) ), U ), 'c_Finite__Set_Osetsum'( 'c_COMBC'( 'c_COMBB'(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), Y, X, 'tc_fun'( X, X ), T ), U, T,
% 1.44/1.83 X, X ), Z, T, X ) ) ],
% 1.44/1.83 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), 'c_Finite__Set_Osetsum'( Y, Z, T, X
% 1.44/1.83 ) ), U ), 'c_Finite__Set_Osetsum'( 'c_COMBC'( 'c_COMBB'(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), Y, X, 'tc_fun'( X, X ), T ), U, T,
% 1.44/1.83 X, X ), Z, T, X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.44/1.83 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ) )
% 1.44/1.83 , Y ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.44/1.83 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ) )
% 1.44/1.83 , Y ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.44/1.83 'c_Finite__Set_Osetsum'( 'c_COMBS'( 'c_COMBB'(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( X ), Y, X, 'tc_fun'( X, X ), Z ), T, Z, X,
% 1.44/1.83 X ), U, Z, X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ),
% 1.44/1.83 'c_Finite__Set_Osetsum'( Y, U, Z, X ) ), 'c_Finite__Set_Osetsum'( T, U, Z
% 1.44/1.83 , X ) ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.83 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.83 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ) ],
% 1.44/1.83 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.44/1.83 'c_COMBS'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), Y, X, 'tc_fun'(
% 1.44/1.83 X, X ), 'tc_nat' ), Z, 'tc_nat', X, X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X ), ~( 'c_SEQ_OLIMSEQ'( Z,
% 1.44/1.83 U, X ) ), ~( 'c_SEQ_OLIMSEQ'( Y, T, X ) ) ],
% 1.44/1.83 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 1.44/1.83 'c_Series_Osummable'( 'c_COMBS'( 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'( X
% 1.44/1.83 ), Y, X, 'tc_fun'( X, X ), 'tc_nat' ), Z, 'tc_nat', X, X ), X ), ~(
% 1.44/1.83 'c_Series_Osummable'( Z, X ) ), ~( 'c_Series_Osummable'( Y, X ) ) ],
% 1.44/1.83 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.44/1.83 'c_COMBS'( 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'( X ), Y, X, 'tc_fun'( X
% 1.44/1.83 , X ), 'tc_nat' ), Z, 'tc_nat', X, X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~( 'c_SEQ_OLIMSEQ'( Z, U
% 1.44/1.83 , X ) ), ~( 'c_SEQ_OLIMSEQ'( Y, T, X ) ) ],
% 1.44/1.83 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 1.44/1.83 'c_Series_Osummable'( 'c_COMBC'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.83 X ), Y, X, 'tc_fun'( X, X ), 'tc_nat' ), Z, 'tc_nat', X, X ), X ), ~(
% 1.44/1.83 'c_Series_Osummable'( Y, X ) ) ],
% 1.44/1.83 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 1.44/1.83 'c_Series_Osummable'( 'c_COMBC'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.83 X ), Y, X, 'tc_fun'( X, X ), 'tc_nat' ), Z, 'tc_nat', X, X ), X ), ~(
% 1.44/1.83 'c_Series_Osummable'( Y, X ) ) ],
% 1.44/1.83 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.44/1.83 'c_COMBC'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), Y, X, 'tc_fun'(
% 1.44/1.83 X, X ), 'tc_nat' ), Z, 'tc_nat', X, X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ), ~( 'c_SEQ_OLIMSEQ'( Y,
% 1.44/1.83 T, X ) ) ],
% 1.44/1.83 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.44/1.83 'c_COMBC'( 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'( X ), Y, X, 'tc_fun'( X
% 1.44/1.83 , X ), 'tc_nat' ), Z, 'tc_nat', X, X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~( 'c_SEQ_OLIMSEQ'( Y, T
% 1.44/1.83 , X ) ) ],
% 1.44/1.83 [ =( hAPP( 'c_Suc', hAPP( 'c_Suc', hAPP( hAPP(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.83 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ), 'c_Int_Onumber__class_Onumber__of'(
% 1.44/1.83 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ), hAPP(
% 1.44/1.83 hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.83 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.83 'tc_nat' ) ) ],
% 1.44/1.83 [ =( hAPP( 'c_Suc', hAPP( 'c_Suc', hAPP( hAPP(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit0'(
% 1.44/1.83 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat' ) ), X ) ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.83 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit0'(
% 1.44/1.83 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat' ) ), X ) ), =( X,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.44/1.83 [ =( 'c_Divides_Odiv__class_Omod'( X, 'c_Int_Onumber__class_Onumber__of'(
% 1.44/1.83 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ),
% 1.44/1.83 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Divides_Odiv__class_Omod'( X,
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.83 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ), 'tc_nat' ) ) ],
% 1.44/1.83 [ ~( =( 'c_Divides_Odiv__class_Omod'( X,
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.83 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ), 'c_HOL_Oone__class_Oone'(
% 1.44/1.83 'tc_nat' ) ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.83 'tc_nat' ), 'c_Divides_Odiv__class_Omod'( X,
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.83 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ), 'tc_nat' ) ],
% 1.44/1.83 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.44/1.83 'c_Divides_Odiv__class_Odiv'( X, 'c_Int_Onumber__class_Onumber__of'(
% 1.44/1.83 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ),
% 1.44/1.83 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 1.44/1.83 'tc_nat' ), X, 'tc_nat' ) ) ],
% 1.44/1.83 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ) ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Y, 'c_Int_OPls', 'tc_Int_Oint' ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( X, 'c_Int_OPls', 'tc_Int_Oint' ) ],
% 1.44/1.83 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ) ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( X, 'c_Int_OPls', 'tc_Int_Oint' ) ) ],
% 1.44/1.83 [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'(
% 1.44/1.83 'tc_nat' ) ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.44/1.83 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ),
% 1.44/1.83 'c_Divides_Odiv__class_Odiv'( X, 'c_Int_Onumber__class_Onumber__of'(
% 1.44/1.83 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ) )
% 1.44/1.83 , ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.44/1.83 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 1.44/1.83 'class_Power_Opower'( X ) ), ~( 'class_RealVector_Ometric__space'( Y ) )
% 1.44/1.83 , 'c_Lim_OLIM'( 'c_COMBC'( 'c_COMBB'( 'c_Power_Opower__class_Opower'( X )
% 1.44/1.83 , Z, X, 'tc_fun'( 'tc_nat', X ), Y ), T, Y, 'tc_nat', X ), U, hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), W ), T ), Y, X ), ~( 'c_Lim_OLIM'( Z
% 1.44/1.83 , U, W, Y, X ) ) ],
% 1.44/1.83 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 1.44/1.83 'class_Power_Opower'( X ) ), 'c_SEQ_OLIMSEQ'( 'c_COMBC'( 'c_COMBB'(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), Y, X, 'tc_fun'( 'tc_nat', X ),
% 1.44/1.83 'tc_nat' ), Z, 'tc_nat', 'tc_nat', X ), hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), T ), Z ), X ), ~( 'c_SEQ_OLIMSEQ'( Y
% 1.44/1.83 , T, X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), Z ), T ) ) ), =( Z,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.83 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.44/1.83 'c_COMBB'( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z, X, X,
% 1.44/1.83 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.44/1.83 , ~( 'c_SEQ_OLIMSEQ'( Z, T, X ) ) ],
% 1.44/1.83 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 1.44/1.83 'c_Series_Osummable'( 'c_COMBB'( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.44/1.83 , Y ), Z, X, X, 'tc_nat' ), X ), ~( 'c_Series_Osummable'( Z, X ) ) ],
% 1.44/1.83 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 1.44/1.83 'c_Series_Osummable'( 'c_COMBB'( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.44/1.83 , Y ), Z, X, X, 'tc_nat' ), X ), ~( 'c_Series_Osummable'( Z, X ) ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.44/1.83 'c_Finite__Set_Osetsum'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.44/1.83 'tc_bool' ) ), Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP(
% 1.44/1.83 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 1.44/1.83 [ ~( 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP(
% 1.44/1.83 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP(
% 1.44/1.83 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), Y ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP(
% 1.44/1.83 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), Y ), hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.44/1.83 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Y
% 1.44/1.83 , 'tc_nat' ), 'tc_nat' ) ), =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.44/1.83 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_lessequals'(
% 1.44/1.83 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.44/1.83 , 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.44/1.83 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.44/1.83 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.44/1.83 , 'tc_nat' ), 'tc_nat' ), =( 'c_Int_Onumber__class_Onumber__of'( Z,
% 1.44/1.83 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.44/1.83 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.44/1.83 , 'tc_nat' ), 'tc_nat' ), =( 'c_Int_Onumber__class_Onumber__of'( Z,
% 1.44/1.83 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), X ) ), ~(
% 1.44/1.83 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Y
% 1.44/1.83 , 'tc_nat' ), 'tc_nat' ) ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.44/1.83 'c_Finite__Set_Osetsum'( 'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.44/1.83 Y, X, X, Z ), T, Z, X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.44/1.83 'c_Finite__Set_Osetsum'( Y, T, Z, X ) ) ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP(
% 1.44/1.83 'c_HOL_Oabs__class_Oabs'( X ), 'c_Finite__Set_Osetsum'( 'c_COMBB'(
% 1.44/1.83 'c_HOL_Oabs__class_Oabs'( X ), Y, X, X, Z ), T, Z, X ) ),
% 1.44/1.83 'c_Finite__Set_Osetsum'( 'c_COMBB'( 'c_HOL_Oabs__class_Oabs'( X ), Y, X,
% 1.44/1.83 X, Z ), T, Z, X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.44/1.83 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 'c_Int_OBit1'( 'c_Int_OPls' ), Y, 'tc_Int_Oint' ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.44/1.83 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 'c_HOL_Oone__class_Oone'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.44/1.83 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( 'c_Int_OPls' ), Y,
% 1.44/1.83 'tc_Int_Oint' ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.44/1.83 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.44/1.83 'c_Int_OBit1'( 'c_Int_OPls' ), 'tc_Int_Oint' ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.44/1.83 'c_HOL_Oone__class_Oone'( X ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.44/1.83 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.44/1.83 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Int_OBit1'( 'c_Int_OPls' ),
% 1.44/1.83 'tc_Int_Oint' ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.44/1.83 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.44/1.83 ) ), Z ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.44/1.83 'c_HOL_Oone__class_Oone'( X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'(
% 1.44/1.83 X ), Y ), Z ), X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y,
% 1.44/1.83 X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), Y ), Z ), hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), Y ), T ) ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), =( Z
% 1.44/1.83 , T ) ],
% 1.44/1.83 [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', 'tc_nat' ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.44/1.83 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.44/1.83 'c_COMBS'( 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'( X ), Y, X, 'tc_fun'( X
% 1.44/1.83 , X ), 'tc_nat' ), 'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'( X ), Z, X,
% 1.44/1.83 X, 'tc_nat' ), 'tc_nat', X, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.83 X ), T ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), U ) ), X ), ~(
% 1.44/1.83 'c_SEQ_OLIMSEQ'( Z, U, X ) ), ~( 'c_SEQ_OLIMSEQ'( Y, T, X ) ) ],
% 1.44/1.83 [ 'c_HOL_Oord__class_Oless'( X, 'c_Int_OPls', 'tc_Int_Oint' ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OPls',
% 1.44/1.83 'tc_Int_Oint' ) ) ],
% 1.44/1.83 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OPls',
% 1.44/1.83 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Int_OPls',
% 1.44/1.83 'tc_Int_Oint' ) ) ],
% 1.44/1.83 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OBit0'( Y ),
% 1.44/1.83 'tc_Int_Oint' ) ) ],
% 1.44/1.83 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OBit0'( Y ),
% 1.44/1.83 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ) ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OBit0'( Y ),
% 1.44/1.83 'tc_Int_Oint' ) ) ],
% 1.44/1.83 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OBit0'( Y ),
% 1.44/1.83 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ) ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ),
% 1.44/1.83 'c_Int_OBit0'( X ) ), 'c_Int_OBit1'( Y ) ), 'c_Int_OBit1'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ), X ), Y ) ) ) ],
% 1.44/1.83 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ),
% 1.44/1.83 'c_Int_OBit1'( X ) ), 'c_Int_OBit0'( Y ) ), 'c_Int_OBit1'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ), X ), Y ) ) ) ],
% 1.44/1.83 [ 'c_HOL_Oord__class_Oless'( X, 'c_Int_OPls', 'tc_Int_Oint' ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_Int_OBit0'( X ), 'c_Int_OPls',
% 1.44/1.83 'tc_Int_Oint' ) ) ],
% 1.44/1.83 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OBit0'( X ), 'c_Int_OPls',
% 1.44/1.83 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Int_OPls',
% 1.44/1.83 'tc_Int_Oint' ) ) ],
% 1.44/1.83 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OPls', X, 'tc_Int_Oint' ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_Int_OPls', 'c_Int_OBit0'( X ),
% 1.44/1.83 'tc_Int_Oint' ) ) ],
% 1.44/1.83 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OPls', 'c_Int_OBit0'( X ),
% 1.44/1.83 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( 'c_Int_OPls', X,
% 1.44/1.83 'tc_Int_Oint' ) ) ],
% 1.44/1.83 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.44/1.83 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, hAPP(
% 1.44/1.83 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.44/1.83 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.44/1.83 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, hAPP( 'c_Suc',
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.44/1.83 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), hAPP(
% 1.44/1.83 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.44/1.83 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.44/1.83 'tc_nat' ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.83 'tc_nat' ), Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ), 'tc_nat' ) ) ],
% 1.44/1.83 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( 'c_Suc',
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.83 'tc_nat' ) ), hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.44/1.83 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.44/1.83 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.44/1.83 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, hAPP(
% 1.44/1.83 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, hAPP( 'c_Suc'
% 1.44/1.83 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.44/1.83 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.44/1.83 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' )
% 1.44/1.83 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y
% 1.44/1.83 , 'tc_nat' ) ) ],
% 1.44/1.83 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.44/1.83 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' )
% 1.44/1.83 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X
% 1.44/1.83 , 'tc_nat' ) ) ],
% 1.44/1.83 [ ~( =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP(
% 1.44/1.83 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( Y, hAPP(
% 1.44/1.83 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.44/1.83 [ ~( =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP(
% 1.44/1.83 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( X,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, hAPP( 'c_Suc',
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.44/1.83 [ =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.83 'tc_nat' ) ), hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) )
% 1.44/1.83 ],
% 1.44/1.83 [ ~( =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP(
% 1.44/1.83 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( X,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.44/1.83 [ ~( =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP(
% 1.44/1.83 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( Y, hAPP(
% 1.44/1.83 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, hAPP( 'c_Suc'
% 1.44/1.83 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.44/1.83 [ =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( 'c_Suc',
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.83 'tc_nat' ) ) ) ],
% 1.44/1.83 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( 'c_Suc',
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), hAPP( 'c_Suc',
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.44/1.83 [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_Divides_Odiv__class_Omod'( X,
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit0'(
% 1.44/1.83 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat' ), 'tc_nat' ), 'tc_nat' ),
% 1.44/1.83 ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.44/1.83 [ 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ), ~(
% 1.44/1.83 'c_Parity_Oeven__odd__class_Oeven'( 'c_Divides_Odiv__class_Omod'( X,
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit0'(
% 1.44/1.83 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat' ), 'tc_nat' ), 'tc_nat' ) ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ =( 'c_Divides_Odiv__class_Omod'( hAPP( 'c_Suc', hAPP( 'c_Suc', X ) ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.83 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ), 'c_Divides_Odiv__class_Omod'( X
% 1.44/1.83 , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.83 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ) ) ],
% 1.44/1.83 [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( 'c_Suc', hAPP( 'c_Suc', X ) ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.83 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ), hAPP( 'c_Suc',
% 1.44/1.83 'c_Divides_Odiv__class_Odiv'( X, 'c_Int_Onumber__class_Onumber__of'(
% 1.44/1.83 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ) )
% 1.44/1.83 ) ],
% 1.44/1.83 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.83 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.44/1.83 ), Z ), Y ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' )
% 1.44/1.83 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.44/1.83 , Y, 'tc_nat' ) ) ],
% 1.44/1.83 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.83 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.44/1.83 ), X ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' )
% 1.44/1.83 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.44/1.83 , X, 'tc_nat' ) ) ],
% 1.44/1.83 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.83 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.44/1.83 ), X ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 1.44/1.83 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.83 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.44/1.83 ), Z ), Y ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 'tc_nat' ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 1.44/1.83 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.83 'tc_nat' ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.44/1.83 ), Z ), Y ), 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ) ) ],
% 1.44/1.83 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.83 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.44/1.83 ), X ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' )
% 1.44/1.83 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.44/1.83 , X, 'tc_nat' ) ) ],
% 1.44/1.83 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.44/1.83 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.83 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), X
% 1.44/1.83 ), 'tc_nat' ) ) ],
% 1.44/1.83 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.44/1.83 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.83 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y
% 1.44/1.83 ), 'tc_nat' ) ) ],
% 1.44/1.83 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.44/1.83 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), X ), 'tc_nat' ) ) ],
% 1.44/1.83 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.44/1.83 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ), 'tc_nat' ) ) ],
% 1.44/1.83 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.44/1.83 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.44/1.83 'tc_nat' ) ), =( Y, Z ) ],
% 1.44/1.83 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.44/1.83 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, hAPP(
% 1.44/1.83 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.44/1.83 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.44/1.83 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X, hAPP(
% 1.44/1.83 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.44/1.83 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.44/1.83 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 'tc_nat'
% 1.44/1.83 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.44/1.83 , Y, 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ) ],
% 1.44/1.83 [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.83 'tc_nat' ) ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Y ), 'tc_nat' ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.44/1.83 [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ), 'tc_nat' ),
% 1.44/1.83 'c_Divides_Odiv__class_Odiv'( Y, Z, 'tc_nat' ) ), =( X,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.44/1.83 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc'
% 1.44/1.83 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), hAPP( 'c_Suc',
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), hAPP( 'c_Suc',
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.44/1.83 [ =( 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), X, 'tc_nat' ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.44/1.83 [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( 'c_Suc', hAPP( 'c_Suc', hAPP(
% 1.44/1.83 'c_Suc', X ) ) ), Y, 'tc_nat' ), 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.44/1.83 'c_Int_OPls' ) ), 'tc_nat' ) ), X ), Y, 'tc_nat' ) ) ],
% 1.44/1.83 [ =( 'c_Divides_Odiv__class_Odiv'( X, hAPP( 'c_Suc', hAPP( 'c_Suc', hAPP(
% 1.44/1.83 'c_Suc', Y ) ) ), 'tc_nat' ), 'c_Divides_Odiv__class_Odiv'( X, hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.44/1.83 'c_Int_OPls' ) ), 'tc_nat' ) ), Y ), 'tc_nat' ) ) ],
% 1.44/1.83 [ =( 'c_Divides_Odiv__class_Omod'( hAPP( 'c_Suc', hAPP( 'c_Suc', hAPP(
% 1.44/1.83 'c_Suc', X ) ) ), Y, 'tc_nat' ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.44/1.83 'c_Int_OPls' ) ), 'tc_nat' ) ), X ), Y, 'tc_nat' ) ) ],
% 1.44/1.83 [ =( 'c_Divides_Odiv__class_Omod'( X, hAPP( 'c_Suc', hAPP( 'c_Suc', hAPP(
% 1.44/1.83 'c_Suc', Y ) ) ), 'tc_nat' ), 'c_Divides_Odiv__class_Omod'( X, hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.44/1.83 'c_Int_OPls' ) ), 'tc_nat' ) ), Y ), 'tc_nat' ) ) ],
% 1.44/1.83 [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( 'c_Suc', hAPP( 'c_Suc', hAPP(
% 1.44/1.83 'c_Suc', X ) ) ), 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.44/1.83 'tc_nat' ), 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.44/1.83 'c_Int_OPls' ) ), 'tc_nat' ) ), X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.44/1.83 Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.44/1.83 [ =( 'c_Divides_Odiv__class_Omod'( hAPP( 'c_Suc', hAPP( 'c_Suc', hAPP(
% 1.44/1.83 'c_Suc', X ) ) ), 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.44/1.83 'tc_nat' ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.44/1.83 'c_Int_OPls' ) ), 'tc_nat' ) ), X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.44/1.83 Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.44/1.83 [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'(
% 1.44/1.83 'tc_nat' ) ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.44/1.83 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ), hAPP( 'c_Suc',
% 1.44/1.83 'c_Divides_Odiv__class_Odiv'( X, 'c_Int_Onumber__class_Onumber__of'(
% 1.44/1.83 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ) )
% 1.44/1.83 ), 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.44/1.83 [ =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), hAPP( 'c_Suc',
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.44/1.83 [ =( 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), Z ), Y, 'tc_nat' )
% 1.44/1.83 , 'c_Divides_Odiv__class_Omod'( Z, Y, 'tc_nat' ) ) ],
% 1.44/1.83 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc'
% 1.44/1.83 , X ) ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ),
% 1.44/1.83 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.44/1.83 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), hAPP(
% 1.44/1.83 'c_Suc', Y ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 1.44/1.83 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.44/1.83 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP(
% 1.44/1.83 hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), T ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), U ) ) ) ), =(
% 1.44/1.83 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ),
% 1.44/1.83 'c_Divides_Odiv__class_Omod'( T, Y, 'tc_nat' ) ) ],
% 1.44/1.83 [ =( 'c_SetInterval_Oord__class_OatLeastLessThan'( X,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ),
% 1.44/1.83 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ =( hAPP( 'c_Suc', X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.83 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ],
% 1.44/1.83 [ =( hAPP( 'c_Suc', X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.83 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), X ) ) ],
% 1.44/1.83 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.44/1.83 'c_COMBB'( Y, 'c_COMBC'( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z,
% 1.44/1.83 'tc_nat', 'tc_nat', 'tc_nat' ), 'tc_nat', X, 'tc_nat' ), T, X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 1.44/1.83 'tc_nat' ) ), ~( 'c_SEQ_OLIMSEQ'( Y, T, X ) ) ],
% 1.44/1.83 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.44/1.83 'c_Series_Osummable'( Y, X ) ), =( 'c_Series_Osuminf'( 'c_COMBB'( Y,
% 1.44/1.83 'c_COMBC'( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z, 'tc_nat', 'tc_nat'
% 1.44/1.83 , 'tc_nat' ), 'tc_nat', X, 'tc_nat' ), X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( X ), 'c_Series_Osuminf'( Y, X ) ),
% 1.44/1.83 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ), 'tc_nat', X ) ) )
% 1.44/1.83 ],
% 1.44/1.83 [ 'c_Fun_Oinj__on'( 'c_COMBC'( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X
% 1.44/1.83 , 'tc_nat', 'tc_nat', 'tc_nat' ), Y, 'tc_nat', 'tc_nat' ) ],
% 1.44/1.83 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.44/1.83 'v_m', 'tc_nat' ) ],
% 1.44/1.83 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.44/1.83 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( Z, T, U, Y, X ),
% 1.44/1.83 ~( 'c_Lim_OLIM'( W, T, U, Y, X ) ), ~( 'c_Lim_OLIM'( 'c_COMBS'( 'c_COMBB'(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), Z, X, 'tc_fun'( X, X ), Y ), 'c_COMBB'(
% 1.44/1.83 'c_HOL_Ouminus__class_Ouminus'( X ), W, X, X, Y ), Y, X, X ), T,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.83 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.83 'c_Int_OPls' ) ), X ) ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.44/1.83 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.44/1.83 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.83 'c_Int_OPls' ) ), X ) ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.44/1.83 [ =( X, hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X
% 1.44/1.83 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 X, 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.83 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ) ) ],
% 1.44/1.83 [ 'c_Fun_Oinj__on'( 'c_COMBB'( 'c_Suc', hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.83 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_nat', 'tc_nat' ), X,
% 1.44/1.83 'tc_nat', 'tc_nat' ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.44/1.83 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.44/1.83 hAPP( 'c_Suc', Z ), hAPP( 'c_Suc', T ), 'tc_nat' ), 'tc_nat', X ),
% 1.44/1.83 'c_Finite__Set_Osetsum'( 'c_COMBB'( Y, 'c_Suc', 'tc_nat', X, 'tc_nat' ),
% 1.44/1.83 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, 'tc_nat' ), 'tc_nat'
% 1.44/1.83 , X ) ) ],
% 1.44/1.83 [ =( 'c_Finite__Set_Osetsum'( hAPP( 'c_Power_Opower__class_Opower'(
% 1.44/1.83 'tc_Complex_Ocomplex' ), hAPP( hAPP( 'c_Power_Opower__class_Opower'(
% 1.44/1.83 'tc_Complex_Ocomplex' ), 'c_FFT__Mirabelle_Oroot'( X ) ), Y ) ),
% 1.44/1.83 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.83 'tc_nat' ), X, 'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex' ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( 'tc_Complex_Ocomplex' ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 1.44/1.83 'tc_nat' ) ) ],
% 1.44/1.83 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 1.44/1.83 'c_Series_Osummable'( 'c_COMBB'( Y, 'c_COMBC'( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.83 'tc_nat' ), Z, 'tc_nat', 'tc_nat', 'tc_nat' ), 'tc_nat', X, 'tc_nat' ), X
% 1.44/1.83 ), ~( 'c_Series_Osummable'( Y, X ) ) ],
% 1.44/1.83 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.44/1.83 'c_COMBB'( Y, 'c_COMBC'( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z,
% 1.44/1.83 'tc_nat', 'tc_nat', 'tc_nat' ), 'tc_nat', X, 'tc_nat' ), T, X ), ~(
% 1.44/1.83 'c_SEQ_OLIMSEQ'( Y, T, X ) ) ],
% 1.44/1.83 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_SEQ_OLIMSEQ'( Y, Z, X
% 1.44/1.83 ), ~( 'c_SEQ_OLIMSEQ'( 'c_COMBB'( Y, 'c_COMBC'(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), T, 'tc_nat', 'tc_nat', 'tc_nat' )
% 1.44/1.83 , 'tc_nat', X, 'tc_nat' ), Z, X ) ) ],
% 1.44/1.83 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OBseq'(
% 1.44/1.83 'c_COMBB'( Y, 'c_COMBC'( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z,
% 1.44/1.83 'tc_nat', 'tc_nat', 'tc_nat' ), 'tc_nat', X, 'tc_nat' ), X ), ~(
% 1.44/1.83 'c_SEQ_OBseq'( Y, X ) ) ],
% 1.44/1.83 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OBseq'( Y,
% 1.44/1.83 X ), ~( 'c_SEQ_OBseq'( 'c_COMBB'( Y, 'c_COMBC'(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z, 'tc_nat', 'tc_nat', 'tc_nat' )
% 1.44/1.83 , 'tc_nat', X, 'tc_nat' ), X ) ) ],
% 1.44/1.83 [ =( 'c_Set_Oimage'( 'c_COMBC'( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.44/1.83 X, 'tc_nat', 'tc_nat', 'tc_nat' ),
% 1.44/1.83 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, 'tc_nat' ), 'tc_nat'
% 1.44/1.83 , 'tc_nat' ), 'c_SetInterval_Oord__class_OatLeastLessThan'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), X ), 'tc_nat' ) ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), hAPP( 'c_Suc', hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.83 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 'c_Power_Opower_Opower'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), X ),
% 1.44/1.83 hAPP( hAPP( 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), Z ) ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.83 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.44/1.83 ), Y ), hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.83 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.44/1.83 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.83 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.44/1.83 'c_Int_OMin', X ) ), hAPP( 'c_Suc', hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.83 'c_Int_OPls' ) ), 'tc_nat' ) ), Y ) ) ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.44/1.83 X ), 'c_HOL_Oone__class_Oone'( X ) ) ), hAPP( 'c_Suc', hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.83 'c_Int_OPls' ) ), 'tc_nat' ) ), Y ) ) ), hAPP(
% 1.44/1.83 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.44/1.83 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.83 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.83 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ), 'tc_nat' ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.44/1.83 'tc_nat' ) ) ],
% 1.44/1.83 [ =( hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' )
% 1.44/1.83 , hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.83 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ), 'c_HOL_Oone__class_Oone'( 'tc_nat'
% 1.44/1.83 ) ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.83 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.83 'tc_nat' ) ) ],
% 1.44/1.83 [ =( 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit0'(
% 1.44/1.83 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat' ), 'tc_nat' ),
% 1.44/1.83 'c_Set_Oinsert'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Set_Oinsert'(
% 1.44/1.83 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'c_Set_Oinsert'(
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.83 'c_Int_OPls' ) ), 'tc_nat' ), 'c_Set_Oinsert'(
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.44/1.83 'c_Int_OPls' ) ), 'tc_nat' ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.44/1.83 'tc_nat', 'tc_bool' ) ), 'tc_nat' ), 'tc_nat' ), 'tc_nat' ), 'tc_nat' ) )
% 1.44/1.83 ],
% 1.44/1.83 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.44/1.83 'c_Series_Osuminf'( Y, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.44/1.83 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ), 'tc_nat', X ) ),
% 1.44/1.83 'c_Series_Osuminf'( 'c_COMBB'( Y, 'c_COMBC'( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.83 'tc_nat' ), Z, 'tc_nat', 'tc_nat', 'tc_nat' ), 'tc_nat', X, 'tc_nat' ), X
% 1.44/1.83 ) ) ), ~( 'c_Series_Osummable'( Y, X ) ) ],
% 1.44/1.83 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 1.44/1.83 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBC'(
% 1.44/1.83 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), Z, X, 'tc_fun'( X, X ), Y )
% 1.44/1.83 , T, Y, X, X ), U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.44/1.83 'c_Lim_OLIM'( Z, U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.44/1.83 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 1.44/1.83 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBC'(
% 1.44/1.83 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), Z, X, 'tc_fun'( X, X ), Y )
% 1.44/1.83 , T, Y, X, X ), U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.44/1.83 'c_Lim_OLIM'( Z, U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.44/1.83 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 1.44/1.83 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBS'(
% 1.44/1.83 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), Z, X, 'tc_fun'( X, X ), Y )
% 1.44/1.83 , T, Y, X, X ), U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.44/1.83 'c_Lim_OLIM'( T, U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.44/1.83 'c_Lim_OLIM'( Z, U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.44/1.83 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.44/1.83 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBS'(
% 1.44/1.83 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'( X ), Z, X, 'tc_fun'( X, X ), Y ),
% 1.44/1.83 T, Y, X, X ), U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_Lim_OLIM'(
% 1.44/1.83 T, U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_Lim_OLIM'( Z, U,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.44/1.83 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'(
% 1.44/1.83 'c_COMBS'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), Y, X, 'tc_fun'(
% 1.44/1.83 X, X ), X ), Z, X, X, X ), T, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.44/1.83 , hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), hAPP( Z, T ) ) ),
% 1.44/1.83 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), W ), hAPP( Y, T ) ) ), X )
% 1.44/1.83 , ~( 'c_Deriv_Oderiv'( Z, T, W, X ) ), ~( 'c_Deriv_Oderiv'( Y, T, U, X )
% 1.44/1.83 ) ],
% 1.44/1.83 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'(
% 1.44/1.83 'c_COMBS'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), Y, X, 'tc_fun'(
% 1.44/1.83 X, X ), X ), Z, X, X, X ), T, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.44/1.83 , hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( Y, T ) ), U ) ),
% 1.44/1.83 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), W ), hAPP( Z, T ) ) ), X )
% 1.44/1.83 , ~( 'c_Deriv_Oderiv'( Z, T, U, X ) ), ~( 'c_Deriv_Oderiv'( Y, T, W, X )
% 1.44/1.83 ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.44/1.83 , Y ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP(
% 1.44/1.83 hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), X ) ),
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_HOL_Oord__class_Oless'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), X ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.44/1.83 [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ),
% 1.44/1.83 'tc_nat' ), hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.44/1.83 'c_Int_OPls' ) ), 'tc_nat' ), hAPP( 'c_Suc', hAPP( 'c_Suc', hAPP( 'c_Suc'
% 1.44/1.83 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ) ],
% 1.44/1.83 [ =( hAPP( hAPP( X, Y ), Y ), hAPP( hAPP( Z, Y ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.83 'c_Int_OPls' ) ), 'tc_nat' ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( T
% 1.44/1.83 , X, Z, U, W, V0 ) ) ],
% 1.44/1.83 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ) ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X
% 1.44/1.83 , 'c_Int_OPls', 'tc_Int_Oint' ) ) ],
% 1.44/1.83 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ) ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), Z ) ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X
% 1.44/1.83 , 'c_Int_OPls', 'tc_Int_Oint' ) ) ],
% 1.44/1.83 [ =( hAPP( 'c_Suc', hAPP( 'c_Suc', hAPP( 'c_Suc', X ) ) ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.44/1.83 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), ~( =( hAPP( Y,
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.44/1.83 ) ), =( 'c_Finite__Set_Osetsum'( Y,
% 1.44/1.83 'c_SetInterval_Oord__class_OatLeastLessThan'( hAPP( 'c_Suc',
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z, 'tc_nat' ), 'tc_nat', X ),
% 1.44/1.83 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ), 'tc_nat', X ) ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.44/1.83 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'(
% 1.44/1.83 'tc_nat' ) ) ), Y ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ) ),
% 1.44/1.83 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'(
% 1.44/1.83 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Int_OPls',
% 1.44/1.83 'tc_Int_Oint' ) ) ],
% 1.44/1.83 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.44/1.83 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ) ),
% 1.44/1.83 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X,
% 1.44/1.83 'c_Int_OPls', 'tc_Int_Oint' ) ) ],
% 1.44/1.83 [ ~( 'class_Power_Opower'( X ) ), ~(
% 1.44/1.83 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.44/1.83 'c_Finite__Set_Osetsum'( 'c_COMBS'( 'c_COMBB'(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_Power_Opower__class_Opower'(
% 1.44/1.83 X ), Y ), X, 'tc_fun'( X, X ), 'tc_nat' ), 'c_COMBB'( hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), Z ), hAPP(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ), 'tc_nat', X, 'tc_nat' ),
% 1.44/1.83 'tc_nat', X, X ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( 'c_Suc', T ), 'tc_nat' ),
% 1.44/1.83 'tc_nat', X ), 'c_Finite__Set_Osetsum'( 'c_COMBS'( 'c_COMBB'(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), 'c_COMBB'( hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), Y ), hAPP(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ), 'tc_nat', X, 'tc_nat' ), X
% 1.44/1.83 , 'tc_fun'( X, X ), 'tc_nat' ), hAPP( 'c_Power_Opower__class_Opower'( X )
% 1.44/1.83 , Z ), 'tc_nat', X, X ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( 'c_Suc', T ), 'tc_nat' ),
% 1.44/1.83 'tc_nat', X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), ~(
% 1.44/1.83 'class_OrderedGroup_Omonoid__mult'( X ) ), =( 'c_Finite__Set_Osetsum'(
% 1.44/1.83 'c_COMBS'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), Y ), X, 'tc_fun'( X, X ), 'tc_nat' )
% 1.44/1.83 , 'c_COMBB'( hAPP( 'c_Power_Opower__class_Opower'( X ), Z ), hAPP(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( 'c_Suc', T ) ), 'tc_nat'
% 1.44/1.83 , X, 'tc_nat' ), 'tc_nat', X, X ),
% 1.44/1.83 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.83 'tc_nat' ), hAPP( 'c_Suc', T ), 'tc_nat' ), 'tc_nat', X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), Z ), 'c_Finite__Set_Osetsum'(
% 1.44/1.83 'c_COMBS'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), Y ), X, 'tc_fun'( X, X ), 'tc_nat' )
% 1.44/1.83 , 'c_COMBB'( hAPP( 'c_Power_Opower__class_Opower'( X ), Z ), hAPP(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ), 'tc_nat', X, 'tc_nat' ),
% 1.44/1.83 'tc_nat', X, X ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( 'c_Suc', T ), 'tc_nat' ),
% 1.44/1.83 'tc_nat', X ) ) ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.44/1.83 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastAtMost'(
% 1.44/1.83 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), U ), T ), 'tc_nat' ), 'tc_nat', X
% 1.44/1.83 ), 'c_Finite__Set_Osetsum'( 'c_COMBB'( Y, 'c_COMBC'(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), T, 'tc_nat', 'tc_nat', 'tc_nat' )
% 1.44/1.83 , 'tc_nat', X, 'tc_nat' ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Z
% 1.44/1.83 , U, 'tc_nat' ), 'tc_nat', X ) ) ],
% 1.44/1.83 [ =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' )
% 1.44/1.83 , 'c_FFT__Mirabelle_Oroot'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.83 'tc_nat' ), X ), Y ) ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.83 'tc_nat' ), X ), Z ) ), hAPP( hAPP( 'c_Power_Opower__class_Opower'(
% 1.44/1.83 'tc_Complex_Ocomplex' ), 'c_FFT__Mirabelle_Oroot'( Y ) ), Z ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.44/1.83 'tc_nat' ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.44/1.83 X ) ), 'c_Groebner__Basis_Osemiringb'( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), 'c_Power_Opower__class_Opower'( X ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ), X ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.44/1.83 'c_Groebner__Basis_Ogb__semiring'( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( X ), 'c_Power_Opower__class_Opower'( X ),
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ), X ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.44/1.83 ) ), 'c_HOL_Oone__class_Oone'( X ) ), 'c_Int_Onumber__class_Onumber__of'(
% 1.44/1.83 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ), Y ),
% 1.44/1.83 'c_Int_OBit1'( 'c_Int_OPls' ) ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( Y, X ) ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ), 'c_Int_OBit1'( 'c_Int_OPls'
% 1.44/1.83 ) ), Y ), X ) ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.44/1.83 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.44/1.83 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ) ), Y ) ) ],
% 1.44/1.83 [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.83 'c_Int_OPls' ) ), 'tc_nat' ), hAPP( 'c_Suc', hAPP( 'c_Suc',
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 1.44/1.83 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.83 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ) ],
% 1.44/1.83 [ =( hAPP( 'c_Suc', hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.44/1.83 ) ) ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.83 'c_Int_OPls' ) ), 'tc_nat' ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.44/1.83 , Y ) ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.83 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.83 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.44/1.83 X ), Y ) ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.44/1.83 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.83 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP(
% 1.44/1.83 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'(
% 1.44/1.83 X ), Y ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.44/1.83 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.83 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ],
% 1.44/1.83 [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), X ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.83 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ), X ) ],
% 1.44/1.83 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.83 'c_Int_OPls' ) ), 'tc_nat' ) ), X ), hAPP( 'c_Suc', hAPP( 'c_Suc', X ) )
% 1.44/1.83 ) ],
% 1.44/1.83 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.83 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( 'c_Suc', hAPP( 'c_Suc', X ) ) ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.83 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.44/1.83 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ), hAPP( hAPP( T, hAPP(
% 1.44/1.83 hAPP( X, Y ), Z ) ), hAPP( hAPP( X, Y ), Z ) ) ), ~(
% 1.44/1.83 'c_Groebner__Basis_Ogb__semiring'( U, T, X, W, V0, V1 ) ) ],
% 1.44/1.83 [ 'c_Fun_Oinj__on'( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.83 'c_Int_OPls' ) ), 'tc_nat' ) ), X, 'tc_nat', 'tc_nat' ) ],
% 1.44/1.83 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.44/1.83 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.83 'c_Int_OPls' ) ), 'tc_nat' ) ), X ), 'tc_nat' ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), ~(
% 1.44/1.83 'class_OrderedGroup_Omonoid__mult'( X ) ), =( 'c_Finite__Set_Osetsum'(
% 1.44/1.83 'c_COMBC'( 'c_COMBB'( 'c_HOL_Ominus__class_Ominus'( X ), 'c_COMBS'(
% 1.44/1.83 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), 'c_COMBB'( hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ), 'tc_nat', X, 'tc_nat' ), X
% 1.44/1.83 , 'tc_fun'( X, X ), 'tc_nat' ), hAPP( 'c_Power_Opower__class_Opower'( X )
% 1.44/1.83 , Y ), 'tc_nat', X, X ), X, 'tc_fun'( X, X ), 'tc_nat' ), hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), Y ), T ), 'tc_nat', X, X ),
% 1.44/1.83 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.83 'tc_nat' ), T, 'tc_nat' ), 'tc_nat', X ), 'c_Finite__Set_Osetsum'(
% 1.44/1.83 'c_COMBS'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), Y ), X, 'tc_fun'( X, X ), 'tc_nat' )
% 1.44/1.83 , 'c_COMBS'( 'c_COMBB'( 'c_HOL_Ominus__class_Ominus'( X ), 'c_COMBB'(
% 1.44/1.83 hAPP( 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ), 'tc_nat', X, 'tc_nat' ), X
% 1.44/1.83 , 'tc_fun'( X, X ), 'tc_nat' ), 'c_COMBB'( hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), Y ), hAPP(
% 1.44/1.83 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ), 'tc_nat', X, 'tc_nat' ),
% 1.44/1.83 'tc_nat', X, X ), 'tc_nat', X, X ),
% 1.44/1.83 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.83 'tc_nat' ), T, 'tc_nat' ), 'tc_nat', X ) ) ],
% 1.44/1.83 [ =( 'c_FFT__Mirabelle_Oroot'( 'c_Int_Onumber__class_Onumber__of'(
% 1.44/1.83 'c_Int_OBit0'( 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat'
% 1.44/1.83 ) ), 'c_Complex_Oii' ) ],
% 1.44/1.83 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.44/1.83 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.83 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.44/1.83 ), Y ), Y ) ) ],
% 1.44/1.83 [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), =(
% 1.44/1.83 'c_Series_Osuminf'( 'c_COMBS'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X
% 1.44/1.83 ), Y, X, 'tc_fun'( X, X ), 'tc_nat' ), hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.44/1.83 'tc_nat', X, X ), X ), hAPP( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 1.44/1.83 ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.44/1.83 ), Y ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.83 'c_Int_OPls' ) ), 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.44/1.83 ,
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.44/1.83 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.83 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.44/1.83 Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.44/1.83 ~( 'c_lessequals'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.83 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.83 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.44/1.83 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.44/1.83 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.83 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ],
% 1.44/1.83 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( hAPP( hAPP(
% 1.44/1.83 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ), =( Y, Z ), ~( 'c_lessequals'(
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.44/1.84 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.44/1.84 ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.44/1.84 X ), Y ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ) ],
% 1.44/1.84 [ =( 'c_Divides_Odiv__class_Omod'( X, 'c_Int_Onumber__class_Onumber__of'(
% 1.44/1.84 'c_Int_OBit0'( 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat'
% 1.44/1.84 ), 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), =(
% 1.44/1.84 'c_Divides_Odiv__class_Omod'( X, 'c_Int_Onumber__class_Onumber__of'(
% 1.44/1.84 'c_Int_OBit0'( 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat'
% 1.44/1.84 ), 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.44/1.84 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), =(
% 1.44/1.84 'c_Divides_Odiv__class_Omod'( X, 'c_Int_Onumber__class_Onumber__of'(
% 1.44/1.84 'c_Int_OBit0'( 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat'
% 1.44/1.84 ), 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), =(
% 1.44/1.84 'c_Divides_Odiv__class_Omod'( X, 'c_Int_Onumber__class_Onumber__of'(
% 1.44/1.84 'c_Int_OBit0'( 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat'
% 1.44/1.84 ), 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.44/1.84 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.44/1.84 'c_Finite__Set_Osetsum'( 'c_COMBB'( Y, 'c_COMBC'(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z, 'tc_nat', 'tc_nat', 'tc_nat' )
% 1.44/1.84 , 'tc_nat', X, 'tc_nat' ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), T, 'tc_nat' ), 'tc_nat', X ),
% 1.44/1.84 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), 'c_Finite__Set_Osetsum'( Y
% 1.44/1.84 , 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), T ), Z ), 'tc_nat' ), 'tc_nat', X
% 1.44/1.84 ) ), 'c_Finite__Set_Osetsum'( Y,
% 1.44/1.84 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.84 'tc_nat' ), Z, 'tc_nat' ), 'tc_nat', X ) ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.44/1.84 ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.44/1.84 ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.44/1.84 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ]
% 1.44/1.84 ,
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ) ), X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.44/1.84 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ) ), X ), =( Z, 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.84 X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.44/1.84 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ) ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.84 X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.84 X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ) ), X ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.44/1.84 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.44/1.84 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.44/1.84 ],
% 1.44/1.84 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), X ), hAPP( hAPP( 'c_Power_Opower_Opower'(
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), X ), Y
% 1.44/1.84 ), Z ) ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.44/1.84 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ), X ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.44/1.84 ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ) ],
% 1.44/1.84 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.44/1.84 X ), 'c_HOL_Oone__class_Oone'( X ) ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ), Y ) ), 'c_HOL_Oone__class_Oone'( X ) ) ]
% 1.44/1.84 ,
% 1.44/1.84 [ =( 'c_FFT__Mirabelle_OIDFT'( X, Y, 'v_i' ), 'c_Finite__Set_Osetsum'(
% 1.44/1.84 'c_COMBS'( 'c_COMBB'( 'c_HOL_Oinverse__class_Odivide'(
% 1.44/1.84 'tc_Complex_Ocomplex' ), Y, 'tc_Complex_Ocomplex', 'tc_fun'(
% 1.44/1.84 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ), 'tc_nat' ), 'c_COMBB'(
% 1.44/1.84 hAPP( 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ),
% 1.44/1.84 'c_FFT__Mirabelle_Oroot'( X ) ), hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.84 'tc_nat' ), 'v_i' ), 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat' ),
% 1.44/1.84 'tc_nat', 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ),
% 1.44/1.84 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.84 'tc_nat' ), X, 'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex' ) ) ],
% 1.44/1.84 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.44/1.84 X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.44/1.84 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), X ) ), Y ) ), Z ) ) ) ]
% 1.44/1.84 ,
% 1.44/1.84 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.44/1.84 'c_Int_OMin', X ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' )
% 1.44/1.84 , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ), Y ) ), 'c_HOL_Oone__class_Oone'( X ) ) ]
% 1.44/1.84 ,
% 1.44/1.84 [ =( 'c_FFT__Mirabelle_ODFT'( X, Y, 'v_i' ), 'c_Finite__Set_Osetsum'(
% 1.44/1.84 'c_COMBS'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( 'tc_Complex_Ocomplex'
% 1.44/1.84 ), 'c_COMBB'( hAPP( 'c_Power_Opower__class_Opower'(
% 1.44/1.84 'tc_Complex_Ocomplex' ), 'c_FFT__Mirabelle_Oroot'( X ) ), hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'v_i' ), 'tc_nat',
% 1.44/1.84 'tc_Complex_Ocomplex', 'tc_nat' ), 'tc_Complex_Ocomplex', 'tc_fun'(
% 1.44/1.84 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ), 'tc_nat' ), Y, 'tc_nat',
% 1.44/1.84 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ),
% 1.44/1.84 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.84 'tc_nat' ), X, 'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex' ) ) ],
% 1.44/1.84 [ =( 'c_FFT__Mirabelle_ODFT'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.84 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.44/1.84 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), X ), Y, Z ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( 'tc_Complex_Ocomplex' ),
% 1.44/1.84 'c_FFT__Mirabelle_ODFT'( X, 'c_COMBB'( Y, hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat'
% 1.44/1.84 ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.84 'tc_Complex_Ocomplex' ), hAPP( hAPP( 'c_Power_Opower__class_Opower'(
% 1.44/1.84 'tc_Complex_Ocomplex' ), 'c_FFT__Mirabelle_Oroot'( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ) ), Z ) ), 'c_FFT__Mirabelle_ODFT'(
% 1.44/1.84 X, 'c_COMBB'( Y, 'c_COMBC'( 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.84 'tc_nat' ), hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_fun'( 'tc_nat', 'tc_nat' )
% 1.44/1.84 , 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat', 'tc_nat',
% 1.44/1.84 'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat' ), Z ) ) ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Z ), T ) ) ) ],
% 1.44/1.84 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.44/1.84 'c_Int_OPls', X ) ), Y ), Y ) ],
% 1.44/1.84 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_Int_Onumber__class_Onumber__of'(
% 1.44/1.84 'c_Int_OPls', X ) ), Y ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), 'c_Finite__Set_Osetsum'( Y, Z, T, X )
% 1.44/1.84 ), U ), 'c_Finite__Set_Osetsum'( 'c_COMBC'( 'c_COMBB'(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Y, X, 'tc_fun'( X, X ), T ), U, T, X,
% 1.44/1.84 X ), Z, T, X ) ) ],
% 1.44/1.84 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), 'c_Finite__Set_Osetsum'( Y, Z, T, X )
% 1.44/1.84 ), U ), 'c_Finite__Set_Osetsum'( 'c_COMBC'( 'c_COMBB'(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Y, X, 'tc_fun'( X, X ), T ), U, T, X,
% 1.44/1.84 X ), Z, T, X ) ) ],
% 1.44/1.84 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( hAPP(
% 1.44/1.84 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ), Y ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.44/1.84 'class_Power_Opower'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y
% 1.44/1.84 , 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ),
% 1.44/1.84 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =( hAPP(
% 1.44/1.84 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.84 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =( hAPP(
% 1.44/1.84 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.84 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.84 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Z ), T ) ) ) ],
% 1.44/1.84 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.84 X ), Y ), Y ) ) ],
% 1.44/1.84 [ =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ),
% 1.44/1.84 'tc_nat' ) ) ],
% 1.44/1.84 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oone__class_Oone'( X )
% 1.44/1.84 , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X )
% 1.44/1.84 ) ],
% 1.44/1.84 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), Z ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Z ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ],
% 1.44/1.84 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.84 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.44/1.84 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.44/1.84 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.84 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.44/1.84 ) ) ],
% 1.44/1.84 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.84 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.44/1.84 ) ) ],
% 1.44/1.84 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.84 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.44/1.84 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.44/1.84 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.84 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.44/1.84 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.44/1.84 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), hAPP(
% 1.44/1.84 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ) ],
% 1.44/1.84 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.84 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.44/1.84 ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.84 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.44/1.84 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.44/1.84 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.44/1.84 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.44/1.84 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), X ) ), Y ) ), Z ) ) ) ]
% 1.44/1.84 ,
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.84 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.44/1.84 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ) ],
% 1.44/1.84 [ =( 'c_Int_OPls', 'c_Int_OBit0'( 'c_Int_OPls' ) ) ],
% 1.44/1.84 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.44/1.84 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'(
% 1.44/1.84 'tc_nat' ) ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.44/1.84 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ) ],
% 1.44/1.84 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.44/1.84 'c_HOL_Oone__class_Oone'( X ) ), 'c_Int_Onumber__class_Onumber__of'(
% 1.44/1.84 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), X ) ) ],
% 1.44/1.84 [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OBit0'( Y ) ) ) ],
% 1.44/1.84 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( Y ), X ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.84 X ), 'c_HOL_Oone__class_Oone'( X ) ), 'c_Int_Onumber__class_Onumber__of'(
% 1.44/1.84 Y, X ) ) ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ],
% 1.44/1.84 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ),
% 1.44/1.84 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.44/1.84 [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ),
% 1.44/1.84 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.84 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) )
% 1.44/1.84 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ) ],
% 1.44/1.84 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.44/1.84 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ) ) ), =( X, Z
% 1.44/1.84 ) ],
% 1.44/1.84 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.44/1.84 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ), =( Y, Z
% 1.44/1.84 ) ],
% 1.44/1.84 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.44/1.84 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ), =( Y, Z
% 1.44/1.84 ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.44/1.84 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP(
% 1.44/1.84 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 1.44/1.84 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =( hAPP(
% 1.44/1.84 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 1.44/1.84 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 1.44/1.84 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 1.44/1.84 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 1.44/1.84 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), =( Y, T ) ],
% 1.44/1.84 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ],
% 1.44/1.84 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_Finite__Set_Osetsum'( Z, T, U
% 1.44/1.84 , X ) ), 'c_Finite__Set_Osetsum'( 'c_COMBB'( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z, X, X, U ), T, U, X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_Finite__Set_Osetsum'( Z, T, U
% 1.44/1.84 , X ) ), 'c_Finite__Set_Osetsum'( 'c_COMBB'( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z, X, X, U ), T, U, X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 1.44/1.84 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y )
% 1.44/1.84 , 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.44/1.84 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), U ) ],
% 1.44/1.84 [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OBit0'( Y ) ) ), =( X, Y ) ],
% 1.44/1.84 [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OPls' ) ), =( X, 'c_Int_OPls' ) ]
% 1.44/1.84 ,
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.44/1.84 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( X ) )
% 1.44/1.84 ],
% 1.44/1.84 [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OPls' ) ) ],
% 1.44/1.84 [ =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' )
% 1.44/1.84 , 'c_FFT__Mirabelle_Oroot'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.84 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.44/1.84 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ),
% 1.44/1.84 'c_FFT__Mirabelle_Oroot'( X ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.84 'tc_nat' ), Y ), Z ) ) ) ],
% 1.44/1.84 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), ~( 'class_Int_Onumber'(
% 1.44/1.84 X ) ), =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( Y, X ) ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.84 X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.44/1.84 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), hAPP(
% 1.44/1.84 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.44/1.84 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.44/1.84 [ ~( =( 'c_Int_OPls', 'c_Int_OBit1'( X ) ) ) ],
% 1.44/1.84 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), Y ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 1.44/1.84 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.44/1.84 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ) ), =( Y
% 1.44/1.84 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, Z ) ],
% 1.44/1.84 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.44/1.84 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ), =( X
% 1.44/1.84 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y, Z ) ],
% 1.44/1.84 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.44/1.84 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ), =( Y
% 1.44/1.84 , Z ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.84 X ), 'c_HOL_Oone__class_Oone'( X ) ), 'c_HOL_Oone__class_Oone'( X ) ) ),
% 1.44/1.84 Y ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ), 'c_HOL_Oone__class_Oone'(
% 1.44/1.84 'tc_nat' ) ), Y ) ],
% 1.44/1.84 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ), 'c_HOL_Oone__class_Oone'(
% 1.44/1.84 'tc_nat' ) ), Y ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.44/1.84 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ),
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_Int_Onumber__class_Onumber__of'(
% 1.44/1.84 Y, 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.44/1.84 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.44/1.84 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.44/1.84 ), =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ),
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.44/1.84 , 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ) ), =(
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.44/1.84 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.44/1.84 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ), 'tc_nat' ), 'tc_nat', X ), hAPP(
% 1.44/1.84 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_Finite__Set_Osetsum'( 'c_COMBB'(
% 1.44/1.84 Y, hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', X, 'tc_nat' ),
% 1.44/1.84 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.84 'tc_nat' ), Z, 'tc_nat' ), 'tc_nat', X ) ), 'c_Finite__Set_Osetsum'(
% 1.44/1.84 'c_COMBB'( Y, 'c_COMBC'( 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'( 'tc_nat'
% 1.44/1.84 ), hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_fun'( 'tc_nat', 'tc_nat' )
% 1.44/1.84 , 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat', 'tc_nat',
% 1.44/1.84 'tc_nat' ), 'tc_nat', X, 'tc_nat' ),
% 1.44/1.84 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.84 'tc_nat' ), Z, 'tc_nat' ), 'tc_nat', X ) ) ) ],
% 1.44/1.84 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), T ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ) ) ), =( Y, T ), =( X
% 1.44/1.84 , Z ) ],
% 1.44/1.84 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), T ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ) ) ), =( Y, T ), =( X
% 1.44/1.84 , Z ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.44/1.84 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.84 X ), Y ), U ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.44/1.84 ) ) ), =( Z, U ), =( Y, T ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.44/1.84 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.84 X ), Y ), U ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.44/1.84 ) ) ), =( Z, U ), =( Y, T ) ],
% 1.44/1.84 [ ~( =( X, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y
% 1.44/1.84 ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 1.44/1.84 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.44/1.84 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.44/1.84 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.84 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.44/1.84 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.84 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.44/1.84 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.84 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ),
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.84 'tc_nat' ) ) ],
% 1.44/1.84 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.84 'tc_nat' ) ) ],
% 1.44/1.84 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.44/1.84 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.84 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.44/1.84 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.44/1.84 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.44/1.84 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.44/1.84 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =( hAPP(
% 1.44/1.84 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.44/1.84 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =( hAPP(
% 1.44/1.84 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.84 X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.84 X ), Y ), Z ) ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.44/1.84 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Oone__class_Oone'( X )
% 1.44/1.84 ) ), Z ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.84 X ), Z ), 'c_HOL_Oone__class_Oone'( X ) ) ), Y ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), ~( 'class_Int_Onumber'(
% 1.44/1.84 X ) ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( T, X ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.84 X ), Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Z ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y
% 1.44/1.84 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.84 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ),
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.84 [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', 'tc_nat' ),
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.44/1.84 [ =( 'c_Int_OBit0'( 'c_Int_OPls' ), 'c_Int_OPls' ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( hAPP(
% 1.44/1.84 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ) ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ) ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.44/1.84 ,
% 1.44/1.84 [ =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', 'tc_nat' ) ) ],
% 1.44/1.84 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ozero__class_Ozero'( X
% 1.44/1.84 ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.44/1.84 ,
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ],
% 1.44/1.84 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), T ) ) ],
% 1.44/1.84 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.44/1.84 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.44/1.84 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), U ), T ), 'tc_nat' ), 'tc_nat', X
% 1.44/1.84 ), 'c_Finite__Set_Osetsum'( 'c_COMBB'( Y, 'c_COMBC'(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), T, 'tc_nat', 'tc_nat', 'tc_nat' )
% 1.44/1.84 , 'tc_nat', X, 'tc_nat' ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.44/1.84 Z, U, 'tc_nat' ), 'tc_nat', X ) ) ],
% 1.44/1.84 [ ~( =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ), =( Y,
% 1.44/1.84 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.44/1.84 [ ~( =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ), =( X,
% 1.44/1.84 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.44/1.84 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ) ), =( T, U ), =( Z,
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.84 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP(
% 1.44/1.84 hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), T ) ) ) ), =( Z, T ), =( Y
% 1.44/1.84 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.44/1.84 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.84 'tc_nat' ) ), Y ) ) ],
% 1.44/1.84 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ),
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.84 'tc_nat' ) ) ) ],
% 1.44/1.84 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.44/1.84 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ), 'tc_nat' ), 'tc_nat', X
% 1.44/1.84 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_Finite__Set_Osetsum'(
% 1.44/1.84 'c_COMBB'( Y, 'c_COMBC'( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), T,
% 1.44/1.84 'tc_nat', 'tc_nat', 'tc_nat' ), 'tc_nat', X, 'tc_nat' ),
% 1.44/1.84 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.84 'tc_nat' ), Z, 'tc_nat' ), 'tc_nat', X ) ), 'c_Finite__Set_Osetsum'( Y,
% 1.44/1.84 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.84 'tc_nat' ), T, 'tc_nat' ), 'tc_nat', X ) ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.44/1.84 =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.44/1.84 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.44/1.84 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y
% 1.44/1.84 ), 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.84 'tc_nat' ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.44/1.84 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.44/1.84 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.44/1.84 ), =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ),
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.44/1.84 , =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.84 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.44/1.84 [ ~( 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.84 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~(
% 1.44/1.84 =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ),
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.44/1.84 ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.44/1.84 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.44/1.84 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.44/1.84 ), ~( =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ),
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.44/1.84 ) ) ],
% 1.44/1.84 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( hAPP(
% 1.44/1.84 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), T ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), U ) ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Z ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ) ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 1.44/1.84 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.44/1.84 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.44/1.84 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.44/1.84 ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( =( hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ),
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 1.44/1.84 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 1.44/1.84 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =( hAPP(
% 1.44/1.84 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 1.44/1.84 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =( hAPP(
% 1.44/1.84 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.44/1.84 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.84 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X,
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.44/1.84 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X,
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.44/1.84 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.44/1.84 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.44/1.84 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ),
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.44/1.84 ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ) ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.44/1.84 X ) ), ~( =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) )
% 1.44/1.84 , =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.44/1.84 [ ~( =( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y )
% 1.44/1.84 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.44/1.84 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), X
% 1.44/1.84 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.44/1.84 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.44/1.84 'c_Int_OBit1'( 'c_Int_OPls' ), X ) ), Y ), Y ) ],
% 1.44/1.84 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ) )
% 1.44/1.84 , Y ) ],
% 1.44/1.84 [ =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'c_HOL_Oone__class_Oone'(
% 1.44/1.84 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ],
% 1.44/1.84 [ ~( =( 'c_Int_OPls', 'c_Int_OBit0'( X ) ) ), =( 'c_Int_OPls', X ) ]
% 1.44/1.84 ,
% 1.44/1.84 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.84 X ), 'c_HOL_Oone__class_Oone'( X ) ), 'c_HOL_Oone__class_Oone'( X ) ) ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( Y, X ) ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( Y ), X ) ) ],
% 1.44/1.84 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.44/1.84 Y ) ],
% 1.44/1.84 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ),
% 1.44/1.84 Y ) ],
% 1.44/1.84 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ),
% 1.44/1.84 Y ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ),
% 1.44/1.84 Y ) ],
% 1.44/1.84 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.44/1.84 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), X ), X ) ],
% 1.44/1.84 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ),
% 1.44/1.84 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), X ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.44/1.84 Y ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ),
% 1.44/1.84 Y ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.44/1.84 X ) ), =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.84 X ), Y ), T ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z )
% 1.44/1.84 ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.44/1.84 X ) ), =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.84 X ), Y ), T ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z )
% 1.44/1.84 ) ) ],
% 1.44/1.84 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.44/1.84 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.44/1.84 [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OBit1'( Y ) ) ), =( X, Y ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ) ],
% 1.44/1.84 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.84 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.44/1.84 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 1.44/1.84 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.44/1.84 , 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.44/1.84 ,
% 1.44/1.84 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.44/1.84 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), X ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ) ],
% 1.44/1.84 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.44/1.84 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.84 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.44/1.84 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.84 X ), Y ), Z ) ), T ) ) ],
% 1.44/1.84 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.44/1.84 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.44/1.84 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ) ],
% 1.44/1.84 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.84 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.44/1.84 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.84 X ), Y ), Z ) ), T ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.84 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.44/1.84 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.84 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.44/1.84 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.44/1.84 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ), T ) ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.44/1.84 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.44/1.84 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.44/1.84 ), ~( =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.44/1.84 ) ) ],
% 1.44/1.84 [ =( hAPP( 'c_COMBB'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) ) ) ]
% 1.44/1.84 ,
% 1.44/1.84 [ =( hAPP( 'c_COMBC'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), Y ) ) ]
% 1.44/1.84 ,
% 1.44/1.84 [ =( hAPP( 'c_COMBS'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), hAPP( Y
% 1.44/1.84 , W ) ) ) ],
% 1.44/1.84 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.44/1.84 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ), =( X, 'c_HOL_Oone__class_Oone'(
% 1.44/1.84 'tc_nat' ) ) ],
% 1.44/1.84 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.44/1.84 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ), =( Y, 'c_HOL_Oone__class_Oone'(
% 1.44/1.84 'tc_nat' ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), ~( 'class_Int_Onumber'(
% 1.44/1.84 X ) ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.84 X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), Z ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.44/1.84 , X ) ), T ) ) ) ],
% 1.44/1.84 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.84 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), Y ) ) ]
% 1.44/1.84 ,
% 1.44/1.84 [ ~( 'class_Int_Oring__char__0'( X ) ), ~( 'class_Int_Onumber__ring'( X
% 1.44/1.84 ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =( Y, Z ) ],
% 1.44/1.84 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.44/1.84 'c_Finite__Set_Osetsum'( 'c_COMBS'( 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.84 X ), Y, X, 'tc_fun'( X, X ), Z ), T, Z, X, X ), U, Z, X ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), 'c_Finite__Set_Osetsum'( Y, U, Z, X ) )
% 1.44/1.84 , 'c_Finite__Set_Osetsum'( T, U, Z, X ) ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.84 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ), U ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.84 X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ), U )
% 1.44/1.84 ) ],
% 1.44/1.84 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ), T ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ), Y ) ), T ) ) ],
% 1.44/1.84 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( Y ), X ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.84 X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 1.44/1.84 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.44/1.84 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit0'(
% 1.44/1.84 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat' ), 'tc_nat' ), 'tc_nat', X )
% 1.44/1.84 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.84 X ), hAPP( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), hAPP( Y,
% 1.44/1.84 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ), hAPP( Y,
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ), hAPP( Y,
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ) ],
% 1.44/1.84 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.84 'tc_nat' ), X ), X ) ) ],
% 1.44/1.84 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.44/1.84 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), X ) ), Y ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ) ) ],
% 1.44/1.84 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), X ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y )
% 1.44/1.84 , Y ) ) ],
% 1.44/1.84 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ), X ), hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), X ) ) ],
% 1.44/1.84 [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OBit1'( Y ) ) ) ],
% 1.44/1.84 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.44/1.84 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'(
% 1.44/1.84 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.44/1.84 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.44/1.84 Y ) ],
% 1.44/1.84 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 1.44/1.84 Y ) ],
% 1.44/1.84 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.44/1.84 Y ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.44/1.84 X ) ), =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 1.44/1.84 Y ) ],
% 1.44/1.84 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 1.44/1.84 Y ) ],
% 1.44/1.84 [ =( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.44/1.84 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ) ],
% 1.44/1.84 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), X ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.44/1.84 Y ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.44/1.84 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 1.44/1.84 Y ) ],
% 1.44/1.84 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.44/1.84 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.44/1.84 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.44/1.84 ), ~( =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ),
% 1.44/1.84 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.44/1.84 ) ) ],
% 1.44/1.84 [ ~( =( 'c_Finite__Set_Osetsum'( 'c_COMBS'( 'c_COMBB'(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_Complex_Ocomplex' ), 'c_COMBB'( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ),
% 1.44/1.84 'c_FFT__Mirabelle_Oroot'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.84 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.44/1.84 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), 'v_m' ) ) ), hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'v_i' ), 'tc_nat',
% 1.44/1.84 'tc_Complex_Ocomplex', 'tc_nat' ), 'tc_Complex_Ocomplex', 'tc_fun'(
% 1.44/1.84 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ), 'tc_nat' ), 'v_a',
% 1.44/1.84 'tc_nat', 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ),
% 1.44/1.84 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.84 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ), 'v_m' ), 'tc_nat' ), 'tc_nat',
% 1.44/1.84 'tc_Complex_Ocomplex' ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.44/1.84 'tc_Complex_Ocomplex' ), 'c_Finite__Set_Osetsum'( 'c_COMBS'( 'c_COMBB'(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_Complex_Ocomplex' ), 'c_COMBB'( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ),
% 1.44/1.84 'c_FFT__Mirabelle_Oroot'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.84 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.44/1.84 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), 'v_m' ) ) ), 'c_COMBB'(
% 1.44/1.84 hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'v_i' ), hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_nat', 'tc_nat' ), 'tc_nat'
% 1.44/1.84 , 'tc_Complex_Ocomplex', 'tc_nat' ), 'tc_Complex_Ocomplex', 'tc_fun'(
% 1.44/1.84 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ), 'tc_nat' ), 'c_COMBB'(
% 1.44/1.84 'v_a', hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat'
% 1.44/1.84 ), 'tc_nat', 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ),
% 1.44/1.84 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.84 'tc_nat' ), 'v_m', 'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex' ) ),
% 1.44/1.84 'c_Finite__Set_Osetsum'( 'c_COMBS'( 'c_COMBB'(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_Complex_Ocomplex' ), 'c_COMBB'( hAPP(
% 1.44/1.84 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ),
% 1.44/1.84 'c_FFT__Mirabelle_Oroot'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.44/1.84 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.44/1.84 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), 'v_m' ) ) ), 'c_COMBB'(
% 1.44/1.84 hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'v_i' ), 'c_COMBC'(
% 1.44/1.84 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_fun'( 'tc_nat', 'tc_nat' )
% 1.44/1.84 , 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat', 'tc_nat',
% 1.44/1.84 'tc_nat' ), 'tc_nat', 'tc_nat', 'tc_nat' ), 'tc_nat',
% 1.44/1.84 'tc_Complex_Ocomplex', 'tc_nat' ), 'tc_Complex_Ocomplex', 'tc_fun'(
% 1.44/1.84 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ), 'tc_nat' ), 'c_COMBB'(
% 1.44/1.84 'v_a', 'c_COMBC'( 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP(
% 1.44/1.84 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.44/1.84 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.44/1.84 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_fun'( 'tc_nat', 'tc_nat' )
% 1.44/1.84 , 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat', 'tc_nat',
% 1.44/1.84 'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat' ), 'tc_nat',
% 1.44/1.84 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ),
% 1.44/1.84 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.44/1.84 'tc_nat' ), 'v_m', 'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex' ) ) ) ) ]
% 1.44/1.84 ,
% 1.44/1.84 [ 'class_Lattices_Oboolean__algebra'( 'tc_fun'( X, Y ) ), ~(
% 1.44/1.84 'class_Lattices_Oboolean__algebra'( Y ) ) ],
% 1.44/1.84 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 1.44/1.84 'class_Orderings_Opreorder'( Y ) ) ],
% 1.44/1.84 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 1.44/1.84 'class_Orderings_Oorder'( Y ) ) ],
% 1.44/1.84 [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Obot'(
% 1.44/1.84 Y ) ) ],
% 1.44/1.84 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 1.44/1.84 ],
% 1.44/1.84 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 1.44/1.84 ) ],
% 1.44/1.84 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 1.44/1.84 ],
% 1.44/1.84 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_nat' ) ]
% 1.44/1.84 ,
% 1.44/1.84 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 1.44/1.84 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 1.44/1.84 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 1.44/1.84 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 1.44/1.84 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 1.44/1.84 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' ) ],
% 1.44/1.84 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_nat' ) ],
% 1.44/1.84 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 1.44/1.84 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 1.44/1.84 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 1.44/1.84 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_nat' ) ],
% 1.44/1.84 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 1.44/1.84 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 1.44/1.84 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 1.44/1.84 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 1.44/1.84 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 1.44/1.84 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 1.44/1.84 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ],
% 1.44/1.84 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ],
% 1.44/1.84 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_nat' ) ],
% 1.44/1.84 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 1.44/1.84 [ 'class_Ring__and__Field_Omult__mono'( 'tc_nat' ) ],
% 1.44/1.84 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 1.44/1.84 [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 1.44/1.84 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 1.44/1.84 [ 'class_Divides_Osemiring__div'( 'tc_nat' ) ],
% 1.44/1.84 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 1.44/1.84 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 1.44/1.84 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 1.44/1.84 [ 'class_Orderings_Obot'( 'tc_nat' ) ],
% 1.44/1.84 [ 'class_Power_Opower'( 'tc_nat' ) ],
% 1.44/1.84 [ 'class_Int_Onumber'( 'tc_nat' ) ],
% 1.44/1.84 [ 'class_Lattices_Oboolean__algebra'( 'tc_bool' ) ],
% 1.44/1.84 [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 1.44/1.84 [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 1.44/1.84 [ 'class_Orderings_Obot'( 'tc_bool' ) ],
% 1.44/1.84 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 1.44/1.84 'tc_Int_Oint' ) ],
% 1.44/1.84 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 1.44/1.84 'tc_Int_Oint' ) ],
% 1.44/1.84 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 1.44/1.84 'tc_Int_Oint' ) ],
% 1.44/1.84 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_Int_Oint' )
% 1.44/1.84 ],
% 1.44/1.84 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'( 'tc_Int_Oint' )
% 1.44/1.84 ],
% 1.44/1.84 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_Int_Oint' ) ]
% 1.44/1.84 ,
% 1.44/1.84 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_Int_Oint' ) ]
% 1.44/1.84 ,
% 1.44/1.84 [ 'class_OrderedGroup_Opordered__ab__group__add__abs'( 'tc_Int_Oint' ) ]
% 1.44/1.84 ,
% 1.44/1.84 [ 'class_OrderedGroup_Olordered__ab__group__add__abs'( 'tc_Int_Oint' ) ]
% 1.44/1.84 ,
% 1.44/1.84 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_Int_Oint' ) ]
% 1.44/1.84 ,
% 1.44/1.84 [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_Int_Oint' ) ]
% 1.44/1.84 ,
% 1.44/1.84 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_Int_Oint' ) ]
% 1.44/1.84 ,
% 1.44/1.84 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_Int_Oint' ) ]
% 1.44/1.84 ,
% 1.44/1.84 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.44/1.84 [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.44/1.84 [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.44/1.84 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Int_Oint' ) ],
% 1.44/1.84 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_Int_Oint' ) ],
% 1.44/1.84 [ 'class_Ring__and__Field_Opordered__ring__abs'( 'tc_Int_Oint' ) ],
% 1.44/1.84 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_Int_Oint' ) ],
% 1.44/1.84 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Int_Oint' ) ],
% 1.44/1.84 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_Int_Oint' ) ],
% 1.44/1.84 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Int_Oint' ) ],
% 1.44/1.84 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_Int_Oint' ) ],
% 1.44/1.84 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Int_Oint' ) ],
% 1.44/1.84 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Int_Oint' ) ],
% 1.44/1.84 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Int_Oint' ) ],
% 1.44/1.84 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_Int_Oint' ) ],
% 1.44/1.85 [ 'class_Ring__and__Field_Olordered__ring'( 'tc_Int_Oint' ) ],
% 1.44/1.85 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Int_Oint' ) ],
% 1.44/1.85 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Int_Oint' ) ],
% 1.44/1.85 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Int_Oint' ) ],
% 1.44/1.85 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_Int_Oint' ) ],
% 1.44/1.85 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Int_Oint' ) ],
% 1.44/1.85 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_Int_Oint' ) ],
% 1.44/1.85 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_Int_Oint' ) ],
% 1.44/1.85 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_Int_Oint' ) ],
% 1.44/1.85 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Int_Oint' ) ],
% 1.44/1.85 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Int_Oint' ) ],
% 1.44/1.85 [ 'class_Ring__and__Field_Omult__mono'( 'tc_Int_Oint' ) ],
% 1.44/1.85 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_Int_Oint' ) ],
% 1.44/1.85 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Int_Oint' ) ],
% 1.44/1.85 [ 'class_Ring__and__Field_Osemiring'( 'tc_Int_Oint' ) ],
% 1.44/1.85 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Int_Oint' ) ],
% 1.44/1.85 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Int_Oint' ) ],
% 1.44/1.85 [ 'class_Ring__and__Field_Oring__1'( 'tc_Int_Oint' ) ],
% 1.44/1.85 [ 'class_Ring__and__Field_Oabs__if'( 'tc_Int_Oint' ) ],
% 1.44/1.85 [ 'class_Divides_Osemiring__div'( 'tc_Int_Oint' ) ],
% 1.44/1.85 [ 'class_Ring__and__Field_Oring'( 'tc_Int_Oint' ) ],
% 1.44/1.85 [ 'class_Ring__and__Field_Oidom'( 'tc_Int_Oint' ) ],
% 1.44/1.85 [ 'class_Orderings_Opreorder'( 'tc_Int_Oint' ) ],
% 1.44/1.85 [ 'class_Orderings_Olinorder'( 'tc_Int_Oint' ) ],
% 1.44/1.85 [ 'class_Divides_Oring__div'( 'tc_Int_Oint' ) ],
% 1.44/1.85 [ 'class_Orderings_Oorder'( 'tc_Int_Oint' ) ],
% 1.44/1.85 [ 'class_Int_Oring__char__0'( 'tc_Int_Oint' ) ],
% 1.44/1.85 [ 'class_Int_Onumber__ring'( 'tc_Int_Oint' ) ],
% 1.44/1.85 [ 'class_Power_Opower'( 'tc_Int_Oint' ) ],
% 1.44/1.85 [ 'class_Int_Onumber'( 'tc_Int_Oint' ) ],
% 1.44/1.85 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 1.44/1.85 'tc_Complex_Ocomplex' ) ],
% 1.44/1.85 [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 1.44/1.85 'tc_Complex_Ocomplex' ) ],
% 1.44/1.85 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 1.44/1.85 'tc_Complex_Ocomplex' ) ],
% 1.44/1.85 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Complex_Ocomplex' )
% 1.44/1.85 ],
% 1.44/1.85 [ 'class_RealVector_Oreal__normed__algebra__1'( 'tc_Complex_Ocomplex' )
% 1.44/1.85 ],
% 1.44/1.85 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Complex_Ocomplex' )
% 1.44/1.85 ],
% 1.44/1.85 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_Complex_Ocomplex' )
% 1.44/1.85 ],
% 1.44/1.85 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Complex_Ocomplex' ) ]
% 1.44/1.85 ,
% 1.44/1.85 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_Complex_Ocomplex' ) ]
% 1.44/1.85 ,
% 1.44/1.85 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_Complex_Ocomplex' ) ]
% 1.44/1.85 ,
% 1.44/1.85 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Complex_Ocomplex' ) ]
% 1.44/1.85 ,
% 1.44/1.85 [ 'class_RealVector_Oreal__normed__vector'( 'tc_Complex_Ocomplex' ) ]
% 1.44/1.85 ,
% 1.44/1.85 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Complex_Ocomplex' ) ]
% 1.44/1.85 ,
% 1.44/1.85 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Complex_Ocomplex' ) ]
% 1.44/1.85 ,
% 1.44/1.85 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Complex_Ocomplex' ) ]
% 1.44/1.85 ,
% 1.44/1.85 [ 'class_RealVector_Oreal__normed__field'( 'tc_Complex_Ocomplex' ) ]
% 1.44/1.85 ,
% 1.44/1.85 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Complex_Ocomplex' ) ]
% 1.44/1.85 ,
% 1.44/1.85 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Complex_Ocomplex' ) ]
% 1.44/1.85 ,
% 1.44/1.85 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Complex_Ocomplex' ) ]
% 1.44/1.85 ,
% 1.44/1.85 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_Complex_Ocomplex' ) ],
% 1.44/1.85 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_Complex_Ocomplex' ) ],
% 1.44/1.85 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Complex_Ocomplex' ) ],
% 1.44/1.85 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Complex_Ocomplex' ) ],
% 1.44/1.85 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_Complex_Ocomplex' ) ],
% 1.44/1.85 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Complex_Ocomplex' ) ],
% 1.44/1.85 [ 'class_Ring__and__Field_Osemiring'( 'tc_Complex_Ocomplex' ) ],
% 1.44/1.85 [ 'class_RealVector_Ometric__space'( 'tc_Complex_Ocomplex' ) ],
% 1.44/1.85 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Complex_Ocomplex' ) ],
% 1.44/1.85 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Complex_Ocomplex' ) ],
% 1.44/1.85 [ 'class_Ring__and__Field_Oring__1'( 'tc_Complex_Ocomplex' ) ],
% 1.44/1.85 [ 'class_RealVector_Oreal__field'( 'tc_Complex_Ocomplex' ) ],
% 1.44/1.85 [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex' ) ],
% 1.44/1.85 [ 'class_Ring__and__Field_Oring'( 'tc_Complex_Ocomplex' ) ],
% 1.44/1.85 [ 'class_Ring__and__Field_Oidom'( 'tc_Complex_Ocomplex' ) ],
% 1.44/1.85 [ 'class_Int_Oring__char__0'( 'tc_Complex_Ocomplex' ) ],
% 1.44/1.85 [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ],
% 1.44/1.85 [ 'class_Power_Opower'( 'tc_Complex_Ocomplex' ) ],
% 1.44/1.85 [ 'class_Int_Onumber'( 'tc_Complex_Ocomplex' ) ],
% 1.44/1.85 [ =( hAPP( 'c_COMBS'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), hAPP( Y
% 1.44/1.85 , W ) ) ) ],
% 1.44/1.85 [ =( hAPP( 'c_COMBC'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), Y ) ) ]
% 1.44/1.85 ,
% 1.44/1.85 [ =( hAPP( 'c_COMBB'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) ) ) ]
% 1.44/1.85 ,
% 1.44/1.85 [ 'c_fequal'( X, X, Y ) ],
% 1.44/1.85 [ =( X, Y ), ~( 'c_fequal'( X, Y, Z ) ) ]
% 1.44/1.85 ] .
% 1.44/1.85
% 1.44/1.85
% 1.44/1.85 percentage equality = 0.241300, percentage horn = 0.848526
% 1.44/1.85 This is a problem with some equality
% 1.44/1.85
% 1.44/1.85
% 1.44/1.85
% 1.44/1.85 Options Used:
% 1.44/1.85
% 1.44/1.85 useres = 1
% 1.44/1.85 useparamod = 1
% 1.44/1.85 useeqrefl = 1
% 1.44/1.85 useeqfact = 1
% 1.44/1.85 usefactor = 1
% 1.44/1.85 usesimpsplitting = 0
% 1.44/1.85 usesimpdemod = 5
% 1.44/1.85 usesimpres = 3
% 1.44/1.85
% 1.44/1.85 resimpinuse = 1000
% 1.44/1.85 resimpclauses = 20000
% 1.44/1.85 substype = eqrewr
% 1.44/1.85 backwardsubs = 1
% 1.44/1.85 selectoldest = 5
% 1.44/1.85
% 1.44/1.85 litorderings [0] = split
% 1.44/1.85 litorderings [1] = extend the termordering, first sorting on arguments
% 1.44/1.85
% 1.44/1.85 termordering = kbo
% 1.44/1.85
% 1.44/1.85 litapriori = 0
% 1.44/1.85 termapriori = 1
% 1.44/1.85 litaposteriori = 0
% 1.44/1.85 termaposteriori = 0
% 1.44/1.85 demodaposteriori = 0
% 1.44/1.85 ordereqreflfact = 0
% 1.44/1.85
% 1.44/1.85 litselect = negord
% 1.44/1.85
% 1.44/1.85 maxweight = 15
% 1.44/1.85 maxdepth = 30000
% 1.44/1.85 maxlength = 115
% 1.44/1.85 maxnrvars = 195
% 1.44/1.85 excuselevel = 1
% 1.44/1.85 increasemaxweight = 1
% 1.44/1.85
% 1.44/1.85 maxselected = 10000000
% 1.44/1.85 maxnrclauses = 10000000
% 1.44/1.85
% 1.44/1.85 showgenerated = 0
% 1.44/1.85 showkept = 0
% 1.44/1.85 showselected = 0
% 1.44/1.85 showdeleted = 0
% 1.44/1.85 showresimp = 1
% 1.44/1.85 showstatus = 2000
% 1.44/1.85
% 1.44/1.85 prologoutput = 1
% 1.44/1.85 nrgoals = 5000000
% 1.44/1.85 totalproof = 1
% 1.44/1.85
% 1.44/1.85 Symbols occurring in the translation:
% 1.44/1.85
% 1.44/1.85 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.44/1.85 . [1, 2] (w:1, o:177, a:1, s:1, b:0),
% 1.44/1.85 ! [4, 1] (w:0, o:88, a:1, s:1, b:0),
% 1.44/1.85 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.44/1.85 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.44/1.85 'class_RealVector_Ometric__space' [40, 1] (w:1, o:93, a:1, s:1, b:0)
% 1.44/1.85 ,
% 1.44/1.85 'c_Suc' [42, 0] (w:1, o:12, a:1, s:1, b:0),
% 1.44/1.85 'tc_nat' [43, 0] (w:1, o:13, a:1, s:1, b:0),
% 1.44/1.85 'c_COMBB' [44, 5] (w:1, o:225, a:1, s:1, b:0),
% 1.44/1.85 'c_SEQ_OLIMSEQ' [46, 3] (w:1, o:209, a:1, s:1, b:0),
% 1.44/1.85 'class_Ring__and__Field_Oordered__idom' [47, 1] (w:1, o:96, a:1, s:1
% 1.44/1.85 , b:0),
% 1.44/1.85 'c_HOL_Otimes__class_Otimes' [48, 1] (w:1, o:97, a:1, s:1, b:0),
% 1.44/1.85 'c_HOL_Oabs__class_Oabs' [49, 1] (w:1, o:98, a:1, s:1, b:0),
% 1.44/1.85 hAPP [51, 2] (w:1, o:202, a:1, s:1, b:0),
% 1.44/1.85 'c_HOL_Oord__class_Oless' [55, 3] (w:1, o:210, a:1, s:1, b:0),
% 1.44/1.85 'class_OrderedGroup_Opordered__ab__group__add__abs' [56, 1] (w:1, o:
% 1.44/1.85 100, a:1, s:1, b:0),
% 1.44/1.85 'c_HOL_Ominus__class_Ominus' [57, 1] (w:1, o:101, a:1, s:1, b:0),
% 1.44/1.85 'c_lessequals' [58, 3] (w:1, o:211, a:1, s:1, b:0),
% 1.44/1.85 'c_HOL_Ozero__class_Ozero' [60, 1] (w:1, o:102, a:1, s:1, b:0),
% 1.44/1.85 'class_OrderedGroup_Opordered__ab__group__add' [61, 1] (w:1, o:103
% 1.44/1.85 , a:1, s:1, b:0),
% 1.44/1.85 'c_HOL_Ouminus__class_Ouminus' [62, 1] (w:1, o:104, a:1, s:1, b:0),
% 1.44/1.85 'class_Int_Onumber__ring' [63, 1] (w:1, o:105, a:1, s:1, b:0),
% 1.44/1.85 'c_Int_Onumber__class_Onumber__of' [65, 2] (w:1, o:203, a:1, s:1, b:0
% 1.44/1.85 ),
% 1.44/1.85 'class_Ring__and__Field_Ofield' [66, 1] (w:1, o:106, a:1, s:1, b:0),
% 1.44/1.85
% 1.44/1.85 'c_HOL_Oinverse__class_Odivide' [67, 1] (w:1, o:107, a:1, s:1, b:0),
% 1.44/1.85
% 1.44/1.85 'class_Ring__and__Field_Oordered__field' [68, 1] (w:1, o:108, a:1, s:
% 1.44/1.85 1, b:0),
% 1.44/1.85 'class_Ring__and__Field_Odivision__by__zero' [72, 1] (w:1, o:114, a:1
% 1.44/1.85 , s:1, b:0),
% 1.44/1.85 'tc_bool' [73, 0] (w:1, o:42, a:1, s:1, b:0),
% 1.44/1.85 'tc_fun' [74, 2] (w:1, o:204, a:1, s:1, b:0),
% 1.44/1.85 'c_Orderings_Obot__class_Obot' [75, 1] (w:1, o:115, a:1, s:1, b:0),
% 1.44/1.85 'c_Set_Oimage' [78, 4] (w:1, o:221, a:1, s:1, b:0),
% 1.44/1.85 'class_Ring__and__Field_Olordered__ring' [79, 1] (w:1, o:116, a:1, s:
% 1.44/1.85 1, b:0),
% 1.44/1.85 'class_RealVector_Oreal__normed__vector' [80, 1] (w:1, o:117, a:1, s:
% 2.01/2.37 1, b:0),
% 2.01/2.37 'c_Lim_OLIM' [82, 5] (w:1, o:226, a:1, s:1, b:0),
% 2.01/2.37 'c_Divides_Odiv__class_Odiv' [83, 3] (w:1, o:212, a:1, s:1, b:0),
% 2.01/2.37 'c_Parity_Oeven__odd__class_Oeven' [84, 2] (w:1, o:205, a:1, s:1, b:0
% 2.01/2.37 ),
% 2.01/2.37 'c_HOL_Oplus__class_Oplus' [86, 1] (w:1, o:119, a:1, s:1, b:0),
% 2.01/2.37 'class_Orderings_Obot' [88, 1] (w:1, o:120, a:1, s:1, b:0),
% 2.01/2.37 'c_Fun_Oinj__on' [90, 4] (w:1, o:222, a:1, s:1, b:0),
% 2.01/2.37 'c_Set_Oinsert' [91, 3] (w:1, o:213, a:1, s:1, b:0),
% 2.01/2.37 'c_HOL_Oone__class_Oone' [92, 1] (w:1, o:118, a:1, s:1, b:0),
% 2.01/2.37 'c_SetInterval_Oord__class_OatLeastLessThan' [93, 3] (w:1, o:214, a:1
% 2.01/2.37 , s:1, b:0),
% 2.01/2.37 'class_OrderedGroup_Ocomm__monoid__add' [94, 1] (w:1, o:121, a:1, s:1
% 2.01/2.37 , b:0),
% 2.01/2.37 'c_SetInterval_Oord__class_OatLeastAtMost' [95, 3] (w:1, o:215, a:1
% 2.01/2.37 , s:1, b:0),
% 2.01/2.37 'c_Finite__Set_Osetsum' [96, 4] (w:1, o:223, a:1, s:1, b:0),
% 2.01/2.37 'class_Orderings_Olinorder' [97, 1] (w:1, o:122, a:1, s:1, b:0),
% 2.01/2.37 'class_OrderedGroup_Olordered__ab__group__add__abs' [98, 1] (w:1, o:
% 2.01/2.37 123, a:1, s:1, b:0),
% 2.01/2.37 'class_Ring__and__Field_Oabs__if' [99, 1] (w:1, o:124, a:1, s:1, b:0)
% 2.01/2.37 ,
% 2.01/2.37 'class_RealVector_Oreal__normed__field' [100, 1] (w:1, o:125, a:1, s:
% 2.01/2.37 1, b:0),
% 2.01/2.37 'c_Divides_Odiv__class_Omod' [102, 3] (w:1, o:216, a:1, s:1, b:0),
% 2.01/2.37 'c_COMBC' [103, 5] (w:1, o:227, a:1, s:1, b:0),
% 2.01/2.37 'c_Series_Osuminf' [104, 2] (w:1, o:206, a:1, s:1, b:0),
% 2.01/2.37 'c_Series_Osummable' [105, 2] (w:1, o:207, a:1, s:1, b:0),
% 2.01/2.37 'class_Orderings_Oorder' [106, 1] (w:1, o:126, a:1, s:1, b:0),
% 2.01/2.37 'class_Orderings_Opreorder' [107, 1] (w:1, o:127, a:1, s:1, b:0),
% 2.01/2.37 'tc_Int_Oint' [108, 0] (w:1, o:50, a:1, s:1, b:0),
% 2.01/2.37 'class_OrderedGroup_Oab__group__add' [112, 1] (w:1, o:128, a:1, s:1
% 2.01/2.37 , b:0),
% 2.01/2.37 'c_Groebner__Basis_Osemiringb' [122, 6] (w:1, o:229, a:1, s:1, b:0),
% 2.01/2.37
% 2.01/2.37 'c_Power_Opower__class_Opower' [125, 1] (w:1, o:129, a:1, s:1, b:0),
% 2.01/2.37
% 2.01/2.37 hBOOL [126, 1] (w:1, o:130, a:1, s:1, b:0),
% 2.01/2.37 'c_Int_OBit1' [127, 1] (w:1, o:132, a:1, s:1, b:0),
% 2.01/2.37 'c_Int_OMin' [128, 0] (w:1, o:64, a:1, s:1, b:0),
% 2.01/2.37 'c_COMBS' [129, 5] (w:1, o:228, a:1, s:1, b:0),
% 2.01/2.37 'c_Deriv_Oderiv' [131, 4] (w:1, o:224, a:1, s:1, b:0),
% 2.01/2.37 'class_OrderedGroup_Ogroup__add' [132, 1] (w:1, o:133, a:1, s:1, b:0)
% 2.01/2.37 ,
% 2.01/2.37 'class_Lattices_Oboolean__algebra' [133, 1] (w:1, o:134, a:1, s:1, b:
% 2.01/2.37 0),
% 2.01/2.37 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [134, 1]
% 2.01/2.37 (w:1, o:135, a:1, s:1, b:0),
% 2.01/2.37 'class_OrderedGroup_Oordered__ab__group__add' [135, 1] (w:1, o:99, a:
% 2.01/2.37 1, s:1, b:0),
% 2.01/2.37 'class_Divides_Osemiring__div' [136, 1] (w:1, o:137, a:1, s:1, b:0),
% 2.01/2.37
% 2.01/2.37 'class_RealVector_Oreal__normed__algebra__1' [140, 1] (w:1, o:138, a:
% 2.01/2.37 1, s:1, b:0),
% 2.01/2.37 'c_Groebner__Basis_Ogb__semiring' [143, 6] (w:1, o:230, a:1, s:1, b:0
% 2.01/2.37 ),
% 2.01/2.37 'class_Int_Onumber' [144, 1] (w:1, o:139, a:1, s:1, b:0),
% 2.01/2.37 'c_SEQ_OBseq' [146, 2] (w:1, o:208, a:1, s:1, b:0),
% 2.01/2.37 'class_Ring__and__Field_Oidom' [147, 1] (w:1, o:140, a:1, s:1, b:0),
% 2.01/2.37
% 2.01/2.37 'class_Ring__and__Field_Oordered__semiring__strict' [148, 1] (w:1, o:
% 2.01/2.37 142, a:1, s:1, b:0),
% 2.01/2.37 'class_Ring__and__Field_Opordered__ring__abs' [149, 1] (w:1, o:146
% 2.01/2.37 , a:1, s:1, b:0),
% 2.01/2.37 'class_Ring__and__Field_Oordered__semiring' [150, 1] (w:1, o:143, a:1
% 2.01/2.37 , s:1, b:0),
% 2.01/2.37 'class_Ring__and__Field_Oordered__ring__strict' [151, 1] (w:1, o:141
% 2.01/2.37 , a:1, s:1, b:0),
% 2.01/2.37 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [152, 1]
% 2.01/2.37 (w:1, o:147, a:1, s:1, b:0),
% 2.01/2.37 'class_OrderedGroup_Opordered__comm__monoid__add' [153, 1] (w:1, o:
% 2.01/2.37 148, a:1, s:1, b:0),
% 2.01/2.37 'class_OrderedGroup_Olordered__ab__group__add' [154, 1] (w:1, o:149
% 2.01/2.37 , a:1, s:1, b:0),
% 2.01/2.37 'c_Power_Opower_Opower' [155, 3] (w:1, o:217, a:1, s:1, b:0),
% 2.01/2.37 'class_Divides_Oring__div' [158, 1] (w:1, o:136, a:1, s:1, b:0),
% 2.01/2.37 'c_Int_OPls' [165, 0] (w:1, o:76, a:1, s:1, b:0),
% 2.01/2.37 'class_Ring__and__Field_Oring' [166, 1] (w:1, o:150, a:1, s:1, b:0),
% 2.01/2.37
% 2.01/2.37 'class_RealVector_Oreal__normed__algebra' [169, 1] (w:1, o:151, a:1
% 14.03/14.41 , s:1, b:0),
% 14.03/14.41 'class_Ring__and__Field_Opordered__ring' [170, 1] (w:1, o:152, a:1
% 14.03/14.41 , s:1, b:0),
% 14.03/14.41 'class_RealVector_Oreal__field' [172, 1] (w:1, o:153, a:1, s:1, b:0)
% 14.03/14.41 ,
% 14.03/14.41 'class_OrderedGroup_Opordered__ab__semigroup__add' [174, 1] (w:1, o:
% 14.03/14.41 154, a:1, s:1, b:0),
% 14.03/14.41 'class_Ring__and__Field_Ocomm__ring__1' [175, 1] (w:1, o:109, a:1, s:
% 14.03/14.41 1, b:0),
% 14.03/14.41 'c_Int_OBit0' [176, 1] (w:1, o:131, a:1, s:1, b:0),
% 14.03/14.41 'c_Complex_Oii' [182, 0] (w:1, o:79, a:1, s:1, b:0),
% 14.03/14.41 'tc_Complex_Ocomplex' [183, 0] (w:1, o:80, a:1, s:1, b:0),
% 14.03/14.41 'class_Ring__and__Field_Oordered__semidom' [184, 1] (w:1, o:144, a:1
% 14.03/14.41 , s:1, b:0),
% 14.03/14.41 'class_OrderedGroup_Omonoid__mult' [185, 1] (w:1, o:155, a:1, s:1, b:
% 14.03/14.41 0),
% 14.03/14.41 'class_Ring__and__Field_Oordered__comm__semiring__strict' [189, 1]
% 14.03/14.41 (w:1, o:145, a:1, s:1, b:0),
% 14.03/14.41 'class_Ring__and__Field_Omult__mono1' [190, 1] (w:1, o:156, a:1, s:1
% 14.03/14.41 , b:0),
% 14.03/14.41 'class_Ring__and__Field_Omult__mono' [191, 1] (w:1, o:157, a:1, s:1
% 14.03/14.41 , b:0),
% 14.03/14.41 'class_Ring__and__Field_Opordered__cancel__semiring' [192, 1] (w:1
% 14.03/14.41 , o:158, a:1, s:1, b:0),
% 14.03/14.41 'c_FFT__Mirabelle_Oroot' [194, 1] (w:1, o:159, a:1, s:1, b:0),
% 14.03/14.41 'class_Ring__and__Field_Opordered__semiring' [195, 1] (w:1, o:160, a:
% 14.03/14.41 1, s:1, b:0),
% 14.03/14.41 'class_Ring__and__Field_Osemiring__0' [198, 1] (w:1, o:164, a:1, s:1
% 14.03/14.41 , b:0),
% 14.03/14.41 'class_Power_Opower' [199, 1] (w:1, o:172, a:1, s:1, b:0),
% 14.03/14.41 'class_Ring__and__Field_Ocomm__ring' [200, 1] (w:1, o:110, a:1, s:1
% 14.03/14.41 , b:0),
% 14.03/14.41 'class_Ring__and__Field_Oring__1' [201, 1] (w:1, o:161, a:1, s:1, b:0
% 14.03/14.41 ),
% 14.03/14.41 'class_Ring__and__Field_Ocomm__semiring__1' [202, 1] (w:1, o:112, a:1
% 14.03/14.41 , s:1, b:0),
% 14.03/14.41 'v_m' [204, 0] (w:1, o:81, a:1, s:1, b:0),
% 14.03/14.41 'class_Ring__and__Field_Ocomm__semiring__0' [205, 1] (w:1, o:111, a:1
% 14.03/14.41 , s:1, b:0),
% 14.03/14.41 'v_i' [206, 0] (w:1, o:82, a:1, s:1, b:0),
% 14.03/14.41 'c_FFT__Mirabelle_OIDFT' [207, 3] (w:1, o:218, a:1, s:1, b:0),
% 14.03/14.41 'c_FFT__Mirabelle_ODFT' [208, 3] (w:1, o:219, a:1, s:1, b:0),
% 14.03/14.41 'class_OrderedGroup_Oab__semigroup__idem__mult' [209, 1] (w:1, o:165
% 14.03/14.41 , a:1, s:1, b:0),
% 14.03/14.41 'class_OrderedGroup_Ocomm__monoid__mult' [210, 1] (w:1, o:166, a:1
% 14.03/14.41 , s:1, b:0),
% 14.03/14.41 'class_OrderedGroup_Oab__semigroup__mult' [211, 1] (w:1, o:167, a:1
% 14.03/14.41 , s:1, b:0),
% 14.03/14.41 'class_Ring__and__Field_Ocomm__semiring' [212, 1] (w:1, o:113, a:1
% 14.03/14.41 , s:1, b:0),
% 14.03/14.41 'class_OrderedGroup_Ocancel__ab__semigroup__add' [213, 1] (w:1, o:168
% 14.03/14.41 , a:1, s:1, b:0),
% 14.03/14.41 'class_OrderedGroup_Ocancel__semigroup__add' [214, 1] (w:1, o:169, a:
% 14.03/14.41 1, s:1, b:0),
% 14.03/14.41 'class_Ring__and__Field_Ozero__neq__one' [215, 1] (w:1, o:173, a:1
% 14.03/14.41 , s:1, b:0),
% 14.03/14.41 'class_Ring__and__Field_Ono__zero__divisors' [216, 1] (w:1, o:95, a:1
% 14.03/14.41 , s:1, b:0),
% 14.03/14.41 'class_Ring__and__Field_Omult__zero' [217, 1] (w:1, o:94, a:1, s:1
% 14.03/14.41 , b:0),
% 14.03/14.41 'class_Ring__and__Field_Oring__no__zero__divisors' [218, 1] (w:1, o:
% 14.03/14.41 162, a:1, s:1, b:0),
% 14.03/14.41 'class_Ring__and__Field_Osemiring' [219, 1] (w:1, o:174, a:1, s:1, b:
% 14.03/14.41 0),
% 14.03/14.41 'class_Ring__and__Field_Osemiring__1' [220, 1] (w:1, o:175, a:1, s:1
% 14.03/14.41 , b:0),
% 14.03/14.41 'class_Ring__and__Field_Oring__1__no__zero__divisors' [221, 1] (w:1
% 14.03/14.41 , o:163, a:1, s:1, b:0),
% 14.03/14.41 'class_OrderedGroup_Oab__semigroup__add' [222, 1] (w:1, o:170, a:1
% 14.03/14.41 , s:1, b:0),
% 14.03/14.41 'class_Int_Oring__char__0' [225, 1] (w:1, o:176, a:1, s:1, b:0),
% 14.03/14.41 'class_OrderedGroup_Omonoid__add' [226, 1] (w:1, o:171, a:1, s:1, b:0
% 14.03/14.41 ),
% 14.03/14.41 'v_a' [227, 0] (w:1, o:85, a:1, s:1, b:0),
% 14.03/14.41 'c_fequal' [230, 3] (w:1, o:220, a:1, s:1, b:0).
% 14.03/14.41
% 14.03/14.41
% 14.03/14.41 Starting Search:
% 14.03/14.41
% 14.03/14.41 Resimplifying inuse:
% 14.03/14.41 Done
% 14.03/14.41
% 14.03/14.41
% 14.03/14.41 Intermediate Status:
% 14.03/14.41 Generated: 3050
% 14.03/14.41 Kept: 2012
% 14.03/14.41 Inuse: 162
% 14.03/14.41 Deleted: 9
% 14.03/14.41 Deletedinuse: 0
% 14.03/14.41
% 14.03/14.41 Resimplifying inuse:
% 14.03/14.41 Done
% 14.03/14.41
% 14.03/14.41 Resimplifying inuse:
% 14.03/14.41 Done
% 14.03/14.41
% 14.03/14.41
% 14.03/14.41 Intermediate Status:
% 14.03/14.41 Generated: 19197
% 14.03/14.41 Kept: 5144
% 14.03/14.41 Inuse: 299
% 14.03/14.41 Deleted: 12
% 14.03/14.41 Deletedinuse: 0
% 14.03/14.41
% 14.03/14.41 Resimplifying inuse:
% 14.03/14.41 Done
% 14.03/14.41
% 14.03/14.41 Resimplifying inuse:
% 14.03/14.41 Done
% 14.03/14.41
% 14.03/14.41
% 14.03/14.41 Intermediate Status:
% 14.03/14.41 Generated: 29919
% 14.03/14.41 Kept: 7146
% 14.03/14.41 Inuse: 402
% 14.03/14.41 Deleted: 15
% 14.03/14.41 Deletedinuse: 0
% 14.03/14.41
% 14.03/14.41 Resimplifying inuse:
% 37.87/38.23 Done
% 37.87/38.23
% 37.87/38.23 Resimplifying inuse:
% 37.87/38.23 Done
% 37.87/38.23
% 37.87/38.23
% 37.87/38.23 Intermediate Status:
% 37.87/38.23 Generated: 35346
% 37.87/38.23 Kept: 9206
% 37.87/38.23 Inuse: 436
% 37.87/38.23 Deleted: 15
% 37.87/38.23 Deletedinuse: 0
% 37.87/38.23
% 37.87/38.23 Resimplifying inuse:
% 37.87/38.23 Done
% 37.87/38.23
% 37.87/38.23 Resimplifying inuse:
% 37.87/38.23 Done
% 37.87/38.23
% 37.87/38.23
% 37.87/38.23 Intermediate Status:
% 37.87/38.23 Generated: 42882
% 37.87/38.23 Kept: 11328
% 37.87/38.23 Inuse: 536
% 37.87/38.23 Deleted: 15
% 37.87/38.23 Deletedinuse: 0
% 37.87/38.23
% 37.87/38.23 Resimplifying inuse:
% 37.87/38.23 Done
% 37.87/38.23
% 37.87/38.23 Resimplifying inuse:
% 37.87/38.23 Done
% 37.87/38.23
% 37.87/38.23
% 37.87/38.23 Intermediate Status:
% 37.87/38.23 Generated: 49115
% 37.87/38.23 Kept: 13423
% 37.87/38.23 Inuse: 611
% 37.87/38.23 Deleted: 15
% 37.87/38.23 Deletedinuse: 0
% 37.87/38.23
% 37.87/38.23 Resimplifying inuse:
% 37.87/38.23 Done
% 37.87/38.23
% 37.87/38.23 Resimplifying inuse:
% 37.87/38.23 Done
% 37.87/38.23
% 37.87/38.23
% 37.87/38.23 Intermediate Status:
% 37.87/38.23 Generated: 55713
% 37.87/38.23 Kept: 15441
% 37.87/38.23 Inuse: 671
% 37.87/38.23 Deleted: 15
% 37.87/38.23 Deletedinuse: 0
% 37.87/38.23
% 37.87/38.23 Resimplifying inuse:
% 37.87/38.23 Done
% 37.87/38.23
% 37.87/38.23
% 37.87/38.23 Intermediate Status:
% 37.87/38.23 Generated: 69096
% 37.87/38.23 Kept: 17987
% 37.87/38.23 Inuse: 686
% 37.87/38.23 Deleted: 15
% 37.87/38.23 Deletedinuse: 0
% 37.87/38.23
% 37.87/38.23 Resimplifying inuse:
% 37.87/38.23 Done
% 37.87/38.23
% 37.87/38.23
% 37.87/38.23 Intermediate Status:
% 37.87/38.23 Generated: 78803
% 37.87/38.23 Kept: 20141
% 37.87/38.23 Inuse: 696
% 37.87/38.23 Deleted: 15
% 37.87/38.23 Deletedinuse: 0
% 37.87/38.23
% 37.87/38.23 Resimplifying inuse:
% 37.87/38.23 Done
% 37.87/38.23
% 37.87/38.23 Resimplifying clauses:
% 37.87/38.23 Done
% 37.87/38.23
% 37.87/38.23 Resimplifying inuse:
% 37.87/38.23 Done
% 37.87/38.23
% 37.87/38.23
% 37.87/38.23 Intermediate Status:
% 37.87/38.23 Generated: 92626
% 37.87/38.23 Kept: 23048
% 37.87/38.23 Inuse: 711
% 37.87/38.23 Deleted: 220
% 37.87/38.23 Deletedinuse: 1
% 37.87/38.23
% 37.87/38.23 Resimplifying inuse:
% 37.87/38.23 Done
% 37.87/38.23
% 37.87/38.23 Resimplifying inuse:
% 37.87/38.23 Done
% 37.87/38.23
% 37.87/38.23
% 37.87/38.23 Intermediate Status:
% 37.87/38.23 Generated: 102912
% 37.87/38.23 Kept: 25081
% 37.87/38.23 Inuse: 731
% 37.87/38.23 Deleted: 220
% 37.87/38.23 Deletedinuse: 1
% 37.87/38.23
% 37.87/38.23
% 37.87/38.23 Intermediate Status:
% 37.87/38.23 Generated: 120961
% 37.87/38.23 Kept: 28092
% 37.87/38.23 Inuse: 736
% 37.87/38.23 Deleted: 220
% 37.87/38.23 Deletedinuse: 1
% 37.87/38.23
% 37.87/38.23 Resimplifying inuse:
% 37.87/38.23 Done
% 37.87/38.23
% 37.87/38.23
% 37.87/38.23 Intermediate Status:
% 37.87/38.23 Generated: 140917
% 37.87/38.23 Kept: 31163
% 37.87/38.23 Inuse: 741
% 37.87/38.23 Deleted: 220
% 37.87/38.23 Deletedinuse: 1
% 37.87/38.23
% 37.87/38.23 Resimplifying inuse:
% 37.87/38.23 Done
% 37.87/38.23
% 37.87/38.23 Resimplifying inuse:
% 37.87/38.23 Done
% 37.87/38.23
% 37.87/38.23
% 37.87/38.23 Intermediate Status:
% 37.87/38.23 Generated: 149662
% 37.87/38.23 Kept: 33261
% 37.87/38.23 Inuse: 791
% 37.87/38.23 Deleted: 220
% 37.87/38.23 Deletedinuse: 1
% 37.87/38.23
% 37.87/38.23 Resimplifying inuse:
% 37.87/38.23 Done
% 37.87/38.23
% 37.87/38.23 Resimplifying inuse:
% 37.87/38.23 Done
% 37.87/38.23
% 37.87/38.23
% 37.87/38.23 Intermediate Status:
% 37.87/38.23 Generated: 160690
% 37.87/38.23 Kept: 35428
% 37.87/38.23 Inuse: 831
% 37.87/38.23 Deleted: 220
% 37.87/38.23 Deletedinuse: 1
% 37.87/38.23
% 37.87/38.23 Resimplifying inuse:
% 37.87/38.23 Done
% 37.87/38.23
% 37.87/38.23 Resimplifying inuse:
% 37.87/38.23 Done
% 37.87/38.23
% 37.87/38.23
% 37.87/38.23 Intermediate Status:
% 37.87/38.23 Generated: 176778
% 37.87/38.23 Kept: 39353
% 37.87/38.23 Inuse: 876
% 37.87/38.23 Deleted: 221
% 37.87/38.23 Deletedinuse: 2
% 37.87/38.23
% 37.87/38.23 Resimplifying inuse:
% 37.87/38.23 Done
% 37.87/38.23
% 37.87/38.23
% 37.87/38.23 Intermediate Status:
% 37.87/38.23 Generated: 182925
% 37.87/38.23 Kept: 41484
% 37.87/38.23 Inuse: 880
% 37.87/38.23 Deleted: 231
% 37.87/38.23 Deletedinuse: 11
% 37.87/38.23
% 37.87/38.23 Resimplifying inuse:
% 37.87/38.23 Done
% 37.87/38.23
% 37.87/38.23 Resimplifying clauses:
% 37.87/38.23 Done
% 37.87/38.23
% 37.87/38.23
% 37.87/38.23 Intermediate Status:
% 37.87/38.23 Generated: 189518
% 37.87/38.23 Kept: 43803
% 37.87/38.23 Inuse: 891
% 37.87/38.23 Deleted: 509
% 37.87/38.23 Deletedinuse: 11
% 37.87/38.23
% 37.87/38.23 Resimplifying inuse:
% 37.87/38.23 Done
% 37.87/38.23
% 37.87/38.23 Resimplifying inuse:
% 37.87/38.23 Done
% 37.87/38.23
% 37.87/38.23
% 37.87/38.23 Intermediate Status:
% 37.87/38.23 Generated: 201691
% 37.87/38.23 Kept: 47258
% 37.87/38.23 Inuse: 920
% 37.87/38.23 Deleted: 509
% 37.87/38.23 Deletedinuse: 11
% 37.87/38.23
% 37.87/38.23 Resimplifying inuse:
% 37.87/38.23 Done
% 37.87/38.23
% 37.87/38.23 Resimplifying inuse:
% 37.87/38.23 Done
% 37.87/38.23
% 37.87/38.23
% 37.87/38.23 Intermediate Status:
% 37.87/38.23 Generated: 210269
% 37.87/38.23 Kept: 49355
% 37.87/38.23 Inuse: 945
% 37.87/38.23 Deleted: 509
% 37.87/38.23 Deletedinuse: 11
% 37.87/38.23
% 37.87/38.23 Resimplifying inuse:
% 37.87/38.23 Done
% 37.87/38.23
% 37.87/38.23
% 37.87/38.23 Intermediate Status:
% 37.87/38.23 Generated: 221795
% 37.87/38.23 Kept: 52246
% 37.87/38.23 Inuse: 970
% 37.87/38.23 Deleted: 509
% 37.87/38.23 Deletedinuse: 11
% 37.87/38.23
% 37.87/38.23 Resimplifying inuse:
% 37.87/38.23 Done
% 37.87/38.23
% 37.87/38.23
% 37.87/38.23 Intermediate Status:
% 37.87/38.23 Generated: 228674
% 37.87/38.23 Kept: 54329
% 37.87/38.23 Inuse: 975
% 37.87/38.23 Deleted: 509
% 37.87/38.23 Deletedinuse: 11
% 37.87/38.23
% 37.87/38.23 Resimplifying inuse:
% 37.87/38.23 Done
% 37.87/38.23
% 37.87/38.23
% 37.87/38.23 Intermediate Status:
% 37.87/38.23 Generated: 235593
% 37.87/38.23 Kept: 56330
% 37.87/38.23 Inuse: 980
% 37.87/38.23 Deleted: 509
% 37.87/38.23 Deletedinuse: 11
% 37.87/38.23
% 37.87/38.23 Resimplifying inuse:
% 37.87/38.23 Done
% 37.87/38.23
% 37.87/38.23 Resimplifying inuse:
% 37.87/38.23 Done
% 37.87/38.23
% 37.87/38.23
% 37.87/38.23 Intermediate Status:
% 37.87/38.23 Generated: 246659
% 37.87/38.23 Kept: 58603
% 37.87/38.23 Inuse: 1005
% 37.87/38.23 Deleted: 509
% 37.87/38.23 Deletedinuse: 11
% 37.87/38.23
% 37.87/38.23 Resimplifying inuse:
% 37.87/38.23 Done
% 37.87/38.23
% 37.87/38.23 Resimplifying inuse:
% 37.87/38.23 Done
% 37.87/38.23
% 37.87/38.23
% 37.87/38.23 Intermediate Status:
% 37.87/38.23 Generated: 255653
% 37.87/38.23 Kept: 60770
% 37.87/38.23 Inuse: 1025
% 37.87/38.23 Deleted: 509
% 37.87/38.23 Deletedinuse: 11
% 37.87/38.23
% 37.87/38.23 Resimplifying inuse:
% 37.87/38.23 Done
% 37.87/38.23
% 37.87/38.23 Resimplifying inuse:
% 37.87/38.23 Done
% 37.87/38.23
% 37.87/38.23 Resimplifying clauses:
% 37.87/38.23 Done
% 37.87/38.23
% 37.87/38.23
% 37.87/38.23 Intermediate Status:
% 37.87/38.23 Generated: 264181
% 37.87/38.23 Kept: 63142
% 37.87/38.23 Inuse: 1045
% 37.87/38.23 Deleted: 628
% 37.87/38.23 Deletedinuse: 11
% 37.87/38.23
% 37.87/38.23 Resimplifying inuse:
% 37.87/38.23 Done
% 37.87/38.23
% 37.87/38.23 Resimplifying inuse:
% 37.87/38.23 Done
% 37.87/38.23
% 37.87/38.23
% 37.87/38.23 Intermediate Status:
% 37.87/38.23 Generated: 273333
% 37.87/38.23 Kept: 65328
% 37.87/38.23 Inuse: 1065
% 37.87/38.23 Deleted: 628
% 37.87/38.23 Deletedinuse: 11
% 37.87/38.23
% 37.87/38.23 Resimplifying inuse:
% 37.87/38.23 Done
% 37.87/38.23
% 37.87/38.23 Resimplifying inuse:
% 37.87/38.23 Done
% 37.87/38.23
% 37.87/38.23
% 37.87/38.23 Intermediate Status:
% 37.87/38.23 Generated: 302366
% 37.87/38.23 Kept: 69242
% 37.87/38.23 Inuse: 1080
% 37.87/38.23 Deleted: 628
% 37.87/38.23 Deletedinuse: 11
% 37.87/38.23
% 37.87/38.23 Resimplifying inuse:
% 37.87/38.23 Done
% 37.87/38.23
% 37.87/38.23 Resimplifying inuse:
% 80.92/81.36 Done
% 80.92/81.36
% 80.92/81.36
% 80.92/81.36 Intermediate Status:
% 80.92/81.36 Generated: 311943
% 80.92/81.36 Kept: 71545
% 80.92/81.36 Inuse: 1100
% 80.92/81.36 Deleted: 628
% 80.92/81.36 Deletedinuse: 11
% 80.92/81.36
% 80.92/81.36 Resimplifying inuse:
% 80.92/81.36 Done
% 80.92/81.36
% 80.92/81.36 Resimplifying inuse:
% 80.92/81.36 Done
% 80.92/81.36
% 80.92/81.36
% 80.92/81.36 Intermediate Status:
% 80.92/81.36 Generated: 325618
% 80.92/81.36 Kept: 73875
% 80.92/81.36 Inuse: 1125
% 80.92/81.36 Deleted: 628
% 80.92/81.36 Deletedinuse: 11
% 80.92/81.36
% 80.92/81.36 Resimplifying inuse:
% 80.92/81.36 Done
% 80.92/81.36
% 80.92/81.36 Resimplifying inuse:
% 80.92/81.36 Done
% 80.92/81.36
% 80.92/81.36
% 80.92/81.36 Intermediate Status:
% 80.92/81.36 Generated: 337301
% 80.92/81.36 Kept: 76435
% 80.92/81.36 Inuse: 1150
% 80.92/81.36 Deleted: 628
% 80.92/81.36 Deletedinuse: 11
% 80.92/81.36
% 80.92/81.36 Resimplifying inuse:
% 80.92/81.36 Done
% 80.92/81.36
% 80.92/81.36 Resimplifying inuse:
% 80.92/81.36 Done
% 80.92/81.36
% 80.92/81.36
% 80.92/81.36 Intermediate Status:
% 80.92/81.36 Generated: 345820
% 80.92/81.36 Kept: 78638
% 80.92/81.36 Inuse: 1172
% 80.92/81.36 Deleted: 632
% 80.92/81.36 Deletedinuse: 12
% 80.92/81.36
% 80.92/81.36 Resimplifying inuse:
% 80.92/81.36 Done
% 80.92/81.36
% 80.92/81.36 Resimplifying inuse:
% 80.92/81.36 Done
% 80.92/81.36
% 80.92/81.36
% 80.92/81.36 Intermediate Status:
% 80.92/81.36 Generated: 356878
% 80.92/81.36 Kept: 80956
% 80.92/81.36 Inuse: 1197
% 80.92/81.36 Deleted: 632
% 80.92/81.36 Deletedinuse: 12
% 80.92/81.36
% 80.92/81.36 Resimplifying inuse:
% 80.92/81.36 Done
% 80.92/81.36
% 80.92/81.36 Resimplifying clauses:
% 80.92/81.36 Done
% 80.92/81.36
% 80.92/81.36 Resimplifying inuse:
% 80.92/81.36 Done
% 80.92/81.36
% 80.92/81.36
% 80.92/81.36 Intermediate Status:
% 80.92/81.36 Generated: 365190
% 80.92/81.36 Kept: 82987
% 80.92/81.36 Inuse: 1222
% 80.92/81.36 Deleted: 1060
% 80.92/81.36 Deletedinuse: 13
% 80.92/81.36
% 80.92/81.36 Resimplifying inuse:
% 80.92/81.36 Done
% 80.92/81.36
% 80.92/81.36
% 80.92/81.36 Intermediate Status:
% 80.92/81.36 Generated: 385713
% 80.92/81.36 Kept: 85999
% 80.92/81.36 Inuse: 1252
% 80.92/81.36 Deleted: 1060
% 80.92/81.36 Deletedinuse: 13
% 80.92/81.36
% 80.92/81.36 Resimplifying inuse:
% 80.92/81.36 Done
% 80.92/81.36
% 80.92/81.36
% 80.92/81.36 Intermediate Status:
% 80.92/81.36 Generated: 396030
% 80.92/81.36 Kept: 88637
% 80.92/81.36 Inuse: 1257
% 80.92/81.36 Deleted: 1060
% 80.92/81.36 Deletedinuse: 13
% 80.92/81.36
% 80.92/81.36 Resimplifying inuse:
% 80.92/81.36 Done
% 80.92/81.36
% 80.92/81.36 Resimplifying inuse:
% 80.92/81.36 Done
% 80.92/81.36
% 80.92/81.36
% 80.92/81.36 Intermediate Status:
% 80.92/81.36 Generated: 407953
% 80.92/81.36 Kept: 90856
% 80.92/81.36 Inuse: 1277
% 80.92/81.36 Deleted: 1060
% 80.92/81.36 Deletedinuse: 13
% 80.92/81.36
% 80.92/81.36 Resimplifying inuse:
% 80.92/81.36 Done
% 80.92/81.36
% 80.92/81.36 Resimplifying inuse:
% 80.92/81.36 Done
% 80.92/81.36
% 80.92/81.36
% 80.92/81.36 Intermediate Status:
% 80.92/81.36 Generated: 421708
% 80.92/81.36 Kept: 93126
% 80.92/81.36 Inuse: 1307
% 80.92/81.36 Deleted: 1060
% 80.92/81.36 Deletedinuse: 13
% 80.92/81.36
% 80.92/81.36 Resimplifying inuse:
% 80.92/81.36 Done
% 80.92/81.36
% 80.92/81.36 Resimplifying inuse:
% 80.92/81.36 Done
% 80.92/81.36
% 80.92/81.36
% 80.92/81.36 Intermediate Status:
% 80.92/81.36 Generated: 433508
% 80.92/81.36 Kept: 95273
% 80.92/81.36 Inuse: 1337
% 80.92/81.36 Deleted: 1060
% 80.92/81.36 Deletedinuse: 13
% 80.92/81.36
% 80.92/81.36 Resimplifying inuse:
% 80.92/81.36 Done
% 80.92/81.36
% 80.92/81.36 Resimplifying inuse:
% 80.92/81.36 Done
% 80.92/81.36
% 80.92/81.36
% 80.92/81.36 Intermediate Status:
% 80.92/81.36 Generated: 445947
% 80.92/81.36 Kept: 97423
% 80.92/81.36 Inuse: 1366
% 80.92/81.36 Deleted: 1061
% 80.92/81.36 Deletedinuse: 13
% 80.92/81.36
% 80.92/81.36 Resimplifying inuse:
% 80.92/81.36 Done
% 80.92/81.36
% 80.92/81.36 Resimplifying inuse:
% 80.92/81.36 Done
% 80.92/81.36
% 80.92/81.36
% 80.92/81.36 Intermediate Status:
% 80.92/81.36 Generated: 457218
% 80.92/81.36 Kept: 100475
% 80.92/81.36 Inuse: 1381
% 80.92/81.36 Deleted: 1061
% 80.92/81.36 Deletedinuse: 13
% 80.92/81.36
% 80.92/81.36 Resimplifying inuse:
% 80.92/81.36 Done
% 80.92/81.36
% 80.92/81.36 Resimplifying inuse:
% 80.92/81.36 Done
% 80.92/81.36
% 80.92/81.36 Resimplifying clauses:
% 80.92/81.36 Done
% 80.92/81.36
% 80.92/81.36
% 80.92/81.36 Intermediate Status:
% 80.92/81.36 Generated: 468240
% 80.92/81.36 Kept: 102824
% 80.92/81.36 Inuse: 1401
% 80.92/81.36 Deleted: 1348
% 80.92/81.36 Deletedinuse: 13
% 80.92/81.36
% 80.92/81.36 Resimplifying inuse:
% 80.92/81.36 Done
% 80.92/81.36
% 80.92/81.36 Resimplifying inuse:
% 80.92/81.36 Done
% 80.92/81.36
% 80.92/81.36
% 80.92/81.36 Intermediate Status:
% 80.92/81.36 Generated: 481316
% 80.92/81.36 Kept: 105505
% 80.92/81.36 Inuse: 1426
% 80.92/81.36 Deleted: 1348
% 80.92/81.36 Deletedinuse: 13
% 80.92/81.36
% 80.92/81.36 Resimplifying inuse:
% 80.92/81.36 Done
% 80.92/81.36
% 80.92/81.36 Resimplifying inuse:
% 80.92/81.36 Done
% 80.92/81.36
% 80.92/81.36
% 80.92/81.36 Intermediate Status:
% 80.92/81.36 Generated: 491838
% 80.92/81.36 Kept: 107509
% 80.92/81.36 Inuse: 1445
% 80.92/81.36 Deleted: 1348
% 80.92/81.36 Deletedinuse: 13
% 80.92/81.36
% 80.92/81.36 Resimplifying inuse:
% 80.92/81.36 Done
% 80.92/81.36
% 80.92/81.36
% 80.92/81.36 Intermediate Status:
% 80.92/81.36 Generated: 503878
% 80.92/81.36 Kept: 111225
% 80.92/81.36 Inuse: 1454
% 80.92/81.36 Deleted: 1348
% 80.92/81.36 Deletedinuse: 13
% 80.92/81.36
% 80.92/81.36 Resimplifying inuse:
% 80.92/81.36 Done
% 80.92/81.36
% 80.92/81.36 Resimplifying inuse:
% 80.92/81.36 Done
% 80.92/81.36
% 80.92/81.36
% 80.92/81.36 Intermediate Status:
% 80.92/81.36 Generated: 515890
% 80.92/81.36 Kept: 113943
% 80.92/81.36 Inuse: 1471
% 80.92/81.36 Deleted: 1348
% 80.92/81.36 Deletedinuse: 13
% 80.92/81.36
% 80.92/81.36 Resimplifying inuse:
% 80.92/81.36 Done
% 80.92/81.36
% 80.92/81.36 Resimplifying inuse:
% 80.92/81.36 Done
% 80.92/81.36
% 80.92/81.36
% 80.92/81.36 Intermediate Status:
% 80.92/81.36 Generated: 523363
% 80.92/81.36 Kept: 115953
% 80.92/81.36 Inuse: 1489
% 80.92/81.36 Deleted: 1348
% 80.92/81.36 Deletedinuse: 13
% 80.92/81.36
% 80.92/81.36 Resimplifying inuse:
% 80.92/81.36 Done
% 80.92/81.36
% 80.92/81.36 Resimplifying inuse:
% 80.92/81.36 Done
% 80.92/81.36
% 80.92/81.36
% 80.92/81.36 Intermediate Status:
% 80.92/81.36 Generated: 531668
% 80.92/81.36 Kept: 118117
% 80.92/81.36 Inuse: 1511
% 80.92/81.36 Deleted: 1348
% 80.92/81.36 Deletedinuse: 13
% 80.92/81.36
% 80.92/81.36 Resimplifying inuse:
% 80.92/81.36 Done
% 80.92/81.36
% 80.92/81.36 Resimplifying inuse:
% 80.92/81.36 Done
% 80.92/81.36
% 80.92/81.36
% 80.92/81.36 Intermediate Status:
% 80.92/81.36 Generated: 539367
% 80.92/81.36 Kept: 120204
% 80.92/81.36 Inuse: 1531
% 80.92/81.36 Deleted: 1348
% 80.92/81.36 Deletedinuse: 13
% 80.92/81.36
% 80.92/81.36 Resimplifying inuse:
% 80.92/81.36 Done
% 80.92/81.36
% 80.92/81.36
% 80.92/81.36 Intermediate Status:
% 80.92/81.36 Generated: 552221
% 80.92/81.36 Kept: 122917
% 80.92/81.36 Inuse: 1546
% 80.92/81.36 Deleted: 1348
% 80.92/81.36 Deletedinuse: 13
% 80.92/81.36
% 80.92/81.36 Resimplifying inuse:
% 80.92/81.36 Done
% 80.92/81.36
% 80.92/81.36 Resimplifying clauses:
% 80.92/81.36 Done
% 80.92/81.36
% 80.92/81.36 Resimplifying inuse:
% 80.92/81.36 Done
% 80.92/81.36
% 80.92/81.36
% 80.92/81.36 Intermediate Status:
% 80.92/81.36 Generated: 562788
% 80.92/81.36 Kept: 125547
% 80.92/81.36 Inuse: 1576
% 80.92/81.36 Deleted: 1688
% 80.92/81.36 Deletedinuse: 13
% 80.92/81.36
% 80.92/81.36 Resimplifying inuse:
% 80.92/81.36 Done
% 80.92/81.36
% 80.92/81.36 Resimplifying inuse:
% 80.92/81.36 Done
% 80.92/81.36
% 80.92/81.36
% 80.92/81.36 Intermediate Status:
% 80.92/81.36 Generated: 571104
% 80.92/81.36 Kept: 127690
% 80.92/81.36 Inuse: 1606
% 80.92/81.36 Deleted: 1688
% 80.92/81.36 Deletedinuse: 13
% 149.38/149.83
% 149.38/149.83 Resimplifying inuse:
% 149.38/149.83 Done
% 149.38/149.83
% 149.38/149.83 Resimplifying inuse:
% 149.38/149.83 Done
% 149.38/149.83
% 149.38/149.83
% 149.38/149.83 Intermediate Status:
% 149.38/149.83 Generated: 579473
% 149.38/149.83 Kept: 130085
% 149.38/149.83 Inuse: 1631
% 149.38/149.83 Deleted: 1688
% 149.38/149.83 Deletedinuse: 13
% 149.38/149.83
% 149.38/149.83 Resimplifying inuse:
% 149.38/149.83 Done
% 149.38/149.83
% 149.38/149.83 Resimplifying inuse:
% 149.38/149.83 Done
% 149.38/149.83
% 149.38/149.83
% 149.38/149.83 Intermediate Status:
% 149.38/149.83 Generated: 589142
% 149.38/149.83 Kept: 132320
% 149.38/149.83 Inuse: 1656
% 149.38/149.83 Deleted: 1688
% 149.38/149.83 Deletedinuse: 13
% 149.38/149.83
% 149.38/149.83 Resimplifying inuse:
% 149.38/149.83 Done
% 149.38/149.83
% 149.38/149.83 Resimplifying inuse:
% 149.38/149.83 Done
% 149.38/149.83
% 149.38/149.83
% 149.38/149.83 Intermediate Status:
% 149.38/149.83 Generated: 603314
% 149.38/149.83 Kept: 134870
% 149.38/149.83 Inuse: 1681
% 149.38/149.83 Deleted: 1688
% 149.38/149.83 Deletedinuse: 13
% 149.38/149.83
% 149.38/149.83 Resimplifying inuse:
% 149.38/149.83 Done
% 149.38/149.83
% 149.38/149.83 Resimplifying inuse:
% 149.38/149.83 Done
% 149.38/149.83
% 149.38/149.83
% 149.38/149.83 Intermediate Status:
% 149.38/149.83 Generated: 618585
% 149.38/149.83 Kept: 137194
% 149.38/149.83 Inuse: 1711
% 149.38/149.83 Deleted: 1688
% 149.38/149.83 Deletedinuse: 13
% 149.38/149.83
% 149.38/149.83
% 149.38/149.83 Intermediate Status:
% 149.38/149.83 Generated: 656285
% 149.38/149.83 Kept: 142852
% 149.38/149.83 Inuse: 1721
% 149.38/149.83 Deleted: 1688
% 149.38/149.83 Deletedinuse: 13
% 149.38/149.83
% 149.38/149.83 Resimplifying inuse:
% 149.38/149.83 Done
% 149.38/149.83
% 149.38/149.83 Resimplifying clauses:
% 149.38/149.83 Done
% 149.38/149.83
% 149.38/149.83 Resimplifying inuse:
% 149.38/149.83 Done
% 149.38/149.83
% 149.38/149.83
% 149.38/149.83 Intermediate Status:
% 149.38/149.83 Generated: 670864
% 149.38/149.83 Kept: 145708
% 149.38/149.83 Inuse: 1746
% 149.38/149.83 Deleted: 1785
% 149.38/149.83 Deletedinuse: 13
% 149.38/149.83
% 149.38/149.83 Resimplifying inuse:
% 149.38/149.83 Done
% 149.38/149.83
% 149.38/149.83
% 149.38/149.83 Intermediate Status:
% 149.38/149.83 Generated: 678403
% 149.38/149.83 Kept: 147765
% 149.38/149.83 Inuse: 1761
% 149.38/149.83 Deleted: 1786
% 149.38/149.83 Deletedinuse: 14
% 149.38/149.83
% 149.38/149.83 Resimplifying inuse:
% 149.38/149.83 Done
% 149.38/149.83
% 149.38/149.83 Resimplifying inuse:
% 149.38/149.83 Done
% 149.38/149.83
% 149.38/149.83
% 149.38/149.83 Intermediate Status:
% 149.38/149.83 Generated: 685673
% 149.38/149.83 Kept: 150385
% 149.38/149.83 Inuse: 1771
% 149.38/149.83 Deleted: 1786
% 149.38/149.83 Deletedinuse: 14
% 149.38/149.83
% 149.38/149.83 Resimplifying inuse:
% 149.38/149.83 Done
% 149.38/149.83
% 149.38/149.83 Resimplifying inuse:
% 149.38/149.83 Done
% 149.38/149.83
% 149.38/149.83
% 149.38/149.83 Intermediate Status:
% 149.38/149.83 Generated: 694435
% 149.38/149.83 Kept: 152981
% 149.38/149.83 Inuse: 1781
% 149.38/149.83 Deleted: 1786
% 149.38/149.83 Deletedinuse: 14
% 149.38/149.83
% 149.38/149.83 Resimplifying inuse:
% 149.38/149.83 Done
% 149.38/149.83
% 149.38/149.83 Resimplifying inuse:
% 149.38/149.83 Done
% 149.38/149.83
% 149.38/149.83
% 149.38/149.83 Intermediate Status:
% 149.38/149.83 Generated: 702996
% 149.38/149.83 Kept: 155349
% 149.38/149.83 Inuse: 1796
% 149.38/149.83 Deleted: 1786
% 149.38/149.83 Deletedinuse: 14
% 149.38/149.83
% 149.38/149.83 Resimplifying inuse:
% 149.38/149.83 Done
% 149.38/149.83
% 149.38/149.83 Resimplifying inuse:
% 149.38/149.83 Done
% 149.38/149.83
% 149.38/149.83
% 149.38/149.83 Intermediate Status:
% 149.38/149.83 Generated: 710074
% 149.38/149.83 Kept: 157876
% 149.38/149.83 Inuse: 1806
% 149.38/149.83 Deleted: 1786
% 149.38/149.83 Deletedinuse: 14
% 149.38/149.83
% 149.38/149.83 Resimplifying inuse:
% 149.38/149.83 Done
% 149.38/149.83
% 149.38/149.83 Resimplifying inuse:
% 149.38/149.83 Done
% 149.38/149.83
% 149.38/149.83
% 149.38/149.83 Intermediate Status:
% 149.38/149.83 Generated: 721822
% 149.38/149.83 Kept: 160392
% 149.38/149.83 Inuse: 1831
% 149.38/149.83 Deleted: 1786
% 149.38/149.83 Deletedinuse: 14
% 149.38/149.83
% 149.38/149.83 Resimplifying inuse:
% 149.38/149.83 Done
% 149.38/149.83
% 149.38/149.83 Resimplifying inuse:
% 149.38/149.83 Done
% 149.38/149.83
% 149.38/149.83
% 149.38/149.83 Intermediate Status:
% 149.38/149.83 Generated: 730411
% 149.38/149.83 Kept: 162564
% 149.38/149.83 Inuse: 1851
% 149.38/149.83 Deleted: 1786
% 149.38/149.83 Deletedinuse: 14
% 149.38/149.83
% 149.38/149.83 Resimplifying inuse:
% 149.38/149.83 Done
% 149.38/149.83
% 149.38/149.83 Resimplifying clauses:
% 149.38/149.83 Done
% 149.38/149.83
% 149.38/149.83 Resimplifying inuse:
% 149.38/149.83 Done
% 149.38/149.83
% 149.38/149.83
% 149.38/149.83 Intermediate Status:
% 149.38/149.83 Generated: 741611
% 149.38/149.83 Kept: 164675
% 149.38/149.83 Inuse: 1871
% 149.38/149.83 Deleted: 2966
% 149.38/149.83 Deletedinuse: 14
% 149.38/149.83
% 149.38/149.83 Resimplifying inuse:
% 149.38/149.83 Done
% 149.38/149.83
% 149.38/149.83 Resimplifying inuse:
% 149.38/149.83 Done
% 149.38/149.83
% 149.38/149.83
% 149.38/149.83 Intermediate Status:
% 149.38/149.83 Generated: 754357
% 149.38/149.83 Kept: 166865
% 149.38/149.83 Inuse: 1891
% 149.38/149.83 Deleted: 2966
% 149.38/149.83 Deletedinuse: 14
% 149.38/149.83
% 149.38/149.83 Resimplifying inuse:
% 149.38/149.83 Done
% 149.38/149.83
% 149.38/149.83 Resimplifying inuse:
% 149.38/149.83 Done
% 149.38/149.83
% 149.38/149.83
% 149.38/149.83 Intermediate Status:
% 149.38/149.83 Generated: 766128
% 149.38/149.83 Kept: 168872
% 149.38/149.83 Inuse: 1920
% 149.38/149.83 Deleted: 2966
% 149.38/149.83 Deletedinuse: 14
% 149.38/149.83
% 149.38/149.83 Resimplifying inuse:
% 149.38/149.83 Done
% 149.38/149.83
% 149.38/149.83 Resimplifying inuse:
% 149.38/149.83 Done
% 149.38/149.83
% 149.38/149.83
% 149.38/149.83 Intermediate Status:
% 149.38/149.83 Generated: 773445
% 149.38/149.83 Kept: 170879
% 149.38/149.83 Inuse: 1937
% 149.38/149.83 Deleted: 2966
% 149.38/149.83 Deletedinuse: 14
% 149.38/149.83
% 149.38/149.83 Resimplifying inuse:
% 149.38/149.83 Done
% 149.38/149.83
% 149.38/149.83
% 149.38/149.83 Intermediate Status:
% 149.38/149.83 Generated: 783046
% 149.38/149.83 Kept: 173083
% 149.38/149.83 Inuse: 1951
% 149.38/149.83 Deleted: 2966
% 149.38/149.84 Deletedinuse: 14
% 149.38/149.84
% 149.38/149.84 Resimplifying inuse:
% 149.38/149.84 Done
% 149.38/149.84
% 149.38/149.84
% 149.38/149.84 Intermediate Status:
% 149.38/149.84 Generated: 793901
% 149.38/149.84 Kept: 175638
% 149.38/149.84 Inuse: 1956
% 149.38/149.84 Deleted: 2966
% 149.38/149.84 Deletedinuse: 14
% 149.38/149.84
% 149.38/149.84 Resimplifying inuse:
% 149.38/149.84 Done
% 149.38/149.84
% 149.38/149.84 Resimplifying inuse:
% 149.38/149.84 Done
% 149.38/149.84
% 149.38/149.84
% 149.38/149.84 Intermediate Status:
% 149.38/149.84 Generated: 805046
% 149.38/149.84 Kept: 177879
% 149.38/149.84 Inuse: 1976
% 149.38/149.84 Deleted: 2966
% 149.38/149.84 Deletedinuse: 14
% 149.38/149.84
% 149.38/149.84 Resimplifying inuse:
% 149.38/149.84 Done
% 149.38/149.84
% 149.38/149.84 Resimplifying inuse:
% 149.38/149.84 Done
% 149.38/149.84
% 149.38/149.84
% 149.38/149.84 Intermediate Status:
% 149.38/149.84 Generated: 816208
% 149.38/149.84 Kept: 179896
% 149.38/149.84 Inuse: 2001
% 149.38/149.84 Deleted: 2966
% 149.38/149.84 Deletedinuse: 14
% 149.38/149.84
% 149.38/149.84 Resimplifying inuse:
% 149.38/149.84 Done
% 149.38/149.84
% 149.38/149.84
% 149.38/149.84 Intermediate Status:
% 149.38/149.84 Generated: 826342
% 149.38/149.84 Kept: 182388
% 149.38/149.84 Inuse: 2006
% 149.38/149.84 Deleted: 2966
% 149.38/149.84 Deletedinuse: 14
% 149.38/149.84
% 149.38/149.84 Resimplifying inuse:
% 149.38/149.84 Done
% 149.38/149.84
% 149.38/149.84 Resimplifying clauses:
% 149.38/149.84 Done
% 149.38/149.84
% 149.38/149.84 Resimplifying inuse:
% 149.38/149.84 Done
% 149.38/149.84
% 149.38/149.84
% 149.38/149.84 Intermediate Status:
% 149.38/149.84 Generated: 837152
% 149.38/149.84 Kept: 184535
% 149.38/149.84 Inuse: 2031
% 149.38/149.84 Deleted: 3087
% 149.38/149.84 Deletedinuse: 14
% 149.38/149.84
% 149.38/149.84 Resimplifying inuse:
% 149.38/149.84 Done
% 149.38/149.84
% 149.38/149.84
% 149.38/149.84 Intermediate Status:
% 149.38/149.84 Generated: 856879
% 149.38/149.84 Kept: 189236
% 149.38/149.84 Inuse: 2041
% 149.38/149.84 Deleted: 3087
% 149.38/149.84 Deletedinuse: 14
% 149.38/149.84
% 149.38/149.84 Resimplifying inuse:
% 253.74/254.16 Done
% 253.74/254.16
% 253.74/254.16 Resimplifying inuse:
% 253.74/254.16 Done
% 253.74/254.16
% 253.74/254.16
% 253.74/254.16 Intermediate Status:
% 253.74/254.16 Generated: 869019
% 253.74/254.16 Kept: 191622
% 253.74/254.16 Inuse: 2061
% 253.74/254.16 Deleted: 3087
% 253.74/254.16 Deletedinuse: 14
% 253.74/254.16
% 253.74/254.16 Resimplifying inuse:
% 253.74/254.16 Done
% 253.74/254.16
% 253.74/254.16 Resimplifying inuse:
% 253.74/254.16 Done
% 253.74/254.16
% 253.74/254.16
% 253.74/254.16 Intermediate Status:
% 253.74/254.16 Generated: 877091
% 253.74/254.16 Kept: 193667
% 253.74/254.16 Inuse: 2076
% 253.74/254.16 Deleted: 3087
% 253.74/254.16 Deletedinuse: 14
% 253.74/254.16
% 253.74/254.16 Resimplifying inuse:
% 253.74/254.16 Done
% 253.74/254.16
% 253.74/254.16 Resimplifying inuse:
% 253.74/254.16 Done
% 253.74/254.16
% 253.74/254.16
% 253.74/254.16 Intermediate Status:
% 253.74/254.16 Generated: 909219
% 253.74/254.16 Kept: 201214
% 253.74/254.16 Inuse: 2096
% 253.74/254.16 Deleted: 3087
% 253.74/254.16 Deletedinuse: 14
% 253.74/254.16
% 253.74/254.16 Resimplifying inuse:
% 253.74/254.16 Done
% 253.74/254.16
% 253.74/254.16 Resimplifying inuse:
% 253.74/254.16 Done
% 253.74/254.16
% 253.74/254.16
% 253.74/254.16 Intermediate Status:
% 253.74/254.16 Generated: 919501
% 253.74/254.16 Kept: 203327
% 253.74/254.16 Inuse: 2121
% 253.74/254.16 Deleted: 3087
% 253.74/254.16 Deletedinuse: 14
% 253.74/254.16
% 253.74/254.16 Resimplifying clauses:
% 253.74/254.16 Done
% 253.74/254.16
% 253.74/254.16
% 253.74/254.16 Intermediate Status:
% 253.74/254.16 Generated: 947144
% 253.74/254.16 Kept: 208275
% 253.74/254.16 Inuse: 2126
% 253.74/254.16 Deleted: 3297
% 253.74/254.16 Deletedinuse: 14
% 253.74/254.16
% 253.74/254.16 Resimplifying inuse:
% 253.74/254.16 Done
% 253.74/254.16
% 253.74/254.16 Resimplifying inuse:
% 253.74/254.16 Done
% 253.74/254.16
% 253.74/254.16
% 253.74/254.16 Intermediate Status:
% 253.74/254.16 Generated: 957244
% 253.74/254.16 Kept: 210580
% 253.74/254.16 Inuse: 2140
% 253.74/254.16 Deleted: 3299
% 253.74/254.16 Deletedinuse: 15
% 253.74/254.16
% 253.74/254.16 Resimplifying inuse:
% 253.74/254.16 Done
% 253.74/254.16
% 253.74/254.16 Resimplifying inuse:
% 253.74/254.16 Done
% 253.74/254.16
% 253.74/254.16
% 253.74/254.16 Intermediate Status:
% 253.74/254.16 Generated: 969318
% 253.74/254.16 Kept: 212821
% 253.74/254.16 Inuse: 2160
% 253.74/254.16 Deleted: 3299
% 253.74/254.16 Deletedinuse: 15
% 253.74/254.16
% 253.74/254.16 Resimplifying inuse:
% 253.74/254.16 Done
% 253.74/254.16
% 253.74/254.16 Resimplifying inuse:
% 253.74/254.16 Done
% 253.74/254.16
% 253.74/254.16
% 253.74/254.16 Intermediate Status:
% 253.74/254.16 Generated: 979109
% 253.74/254.16 Kept: 214828
% 253.74/254.16 Inuse: 2181
% 253.74/254.16 Deleted: 3299
% 253.74/254.16 Deletedinuse: 15
% 253.74/254.16
% 253.74/254.16 Resimplifying inuse:
% 253.74/254.16 Done
% 253.74/254.16
% 253.74/254.16
% 253.74/254.16 Intermediate Status:
% 253.74/254.16 Generated: 989764
% 253.74/254.16 Kept: 216899
% 253.74/254.16 Inuse: 2195
% 253.74/254.16 Deleted: 3299
% 253.74/254.16 Deletedinuse: 15
% 253.74/254.16
% 253.74/254.16 Resimplifying inuse:
% 253.74/254.16 Done
% 253.74/254.16
% 253.74/254.16 Resimplifying inuse:
% 253.74/254.16 Done
% 253.74/254.16
% 253.74/254.16
% 253.74/254.16 Intermediate Status:
% 253.74/254.16 Generated: 999210
% 253.74/254.16 Kept: 219400
% 253.74/254.16 Inuse: 2215
% 253.74/254.16 Deleted: 3299
% 253.74/254.16 Deletedinuse: 15
% 253.74/254.16
% 253.74/254.16 Resimplifying inuse:
% 253.74/254.16 Done
% 253.74/254.16
% 253.74/254.16 Resimplifying inuse:
% 253.74/254.16 Done
% 253.74/254.16
% 253.74/254.16
% 253.74/254.16 Intermediate Status:
% 253.74/254.16 Generated: 1011771
% 253.74/254.16 Kept: 222029
% 253.74/254.16 Inuse: 2235
% 253.74/254.16 Deleted: 3299
% 253.74/254.16 Deletedinuse: 15
% 253.74/254.16
% 253.74/254.16 Resimplifying inuse:
% 253.74/254.16 Done
% 253.74/254.16
% 253.74/254.16 Resimplifying inuse:
% 253.74/254.16 Done
% 253.74/254.16
% 253.74/254.16 Resimplifying clauses:
% 253.74/254.16 Done
% 253.74/254.16
% 253.74/254.16
% 253.74/254.16 Intermediate Status:
% 253.74/254.16 Generated: 1022902
% 253.74/254.16 Kept: 224389
% 253.74/254.16 Inuse: 2260
% 253.74/254.16 Deleted: 3504
% 253.74/254.16 Deletedinuse: 15
% 253.74/254.16
% 253.74/254.16 Resimplifying inuse:
% 253.74/254.16 Done
% 253.74/254.16
% 253.74/254.16 Resimplifying inuse:
% 253.74/254.16 Done
% 253.74/254.16
% 253.74/254.16
% 253.74/254.16 Intermediate Status:
% 253.74/254.16 Generated: 1032099
% 253.74/254.16 Kept: 226821
% 253.74/254.16 Inuse: 2280
% 253.74/254.16 Deleted: 3505
% 253.74/254.16 Deletedinuse: 16
% 253.74/254.16
% 253.74/254.16 Resimplifying inuse:
% 253.74/254.16 Done
% 253.74/254.16
% 253.74/254.16 Resimplifying inuse:
% 253.74/254.16 Done
% 253.74/254.16
% 253.74/254.16
% 253.74/254.16 Intermediate Status:
% 253.74/254.16 Generated: 1040202
% 253.74/254.16 Kept: 229410
% 253.74/254.16 Inuse: 2294
% 253.74/254.16 Deleted: 3506
% 253.74/254.16 Deletedinuse: 16
% 253.74/254.16
% 253.74/254.16 Resimplifying inuse:
% 253.74/254.16 Done
% 253.74/254.16
% 253.74/254.16 Resimplifying inuse:
% 253.74/254.16 Done
% 253.74/254.16
% 253.74/254.16
% 253.74/254.16 Intermediate Status:
% 253.74/254.16 Generated: 1051926
% 253.74/254.16 Kept: 231792
% 253.74/254.16 Inuse: 2318
% 253.74/254.16 Deleted: 3507
% 253.74/254.16 Deletedinuse: 16
% 253.74/254.16
% 253.74/254.16 Resimplifying inuse:
% 253.74/254.16 Done
% 253.74/254.16
% 253.74/254.16
% 253.74/254.16 Intermediate Status:
% 253.74/254.16 Generated: 1059629
% 253.74/254.16 Kept: 234047
% 253.74/254.16 Inuse: 2333
% 253.74/254.16 Deleted: 3507
% 253.74/254.16 Deletedinuse: 16
% 253.74/254.16
% 253.74/254.16 Resimplifying inuse:
% 253.74/254.16 Done
% 253.74/254.16
% 253.74/254.16 Resimplifying inuse:
% 253.74/254.16 Done
% 253.74/254.16
% 253.74/254.16
% 253.74/254.16 Intermediate Status:
% 253.74/254.16 Generated: 1067893
% 253.74/254.16 Kept: 236545
% 253.74/254.16 Inuse: 2348
% 253.74/254.16 Deleted: 3507
% 253.74/254.16 Deletedinuse: 16
% 253.74/254.16
% 253.74/254.16 Resimplifying inuse:
% 253.74/254.16 Done
% 253.74/254.16
% 253.74/254.16 Resimplifying inuse:
% 253.74/254.16 Done
% 253.74/254.16
% 253.74/254.16
% 253.74/254.16 Intermediate Status:
% 253.74/254.16 Generated: 1085264
% 253.74/254.16 Kept: 240773
% 253.74/254.16 Inuse: 2363
% 253.74/254.16 Deleted: 3507
% 253.74/254.16 Deletedinuse: 16
% 253.74/254.16
% 253.74/254.16 Resimplifying inuse:
% 253.74/254.16 Done
% 253.74/254.16
% 253.74/254.16
% 253.74/254.16 Intermediate Status:
% 253.74/254.16 Generated: 1113487
% 253.74/254.16 Kept: 243720
% 253.74/254.16 Inuse: 2368
% 253.74/254.16 Deleted: 3507
% 253.74/254.16 Deletedinuse: 16
% 253.74/254.16
% 253.74/254.16 Resimplifying inuse:
% 253.74/254.16 Done
% 253.74/254.16
% 253.74/254.16 Resimplifying clauses:
% 253.74/254.16 Done
% 253.74/254.16
% 253.74/254.16
% 253.74/254.16 Intermediate Status:
% 253.74/254.16 Generated: 1129065
% 253.74/254.16 Kept: 247362
% 253.74/254.16 Inuse: 2378
% 253.74/254.16 Deleted: 3952
% 253.74/254.16 Deletedinuse: 16
% 253.74/254.16
% 253.74/254.16 Resimplifying inuse:
% 253.74/254.16 Done
% 253.74/254.16
% 253.74/254.16 Resimplifying inuse:
% 253.74/254.16 Done
% 253.74/254.16
% 253.74/254.16
% 253.74/254.16 Intermediate Status:
% 253.74/254.16 Generated: 1136593
% 253.74/254.16 Kept: 249433
% 253.74/254.16 Inuse: 2393
% 253.74/254.16 Deleted: 3954
% 253.74/254.16 Deletedinuse: 18
% 253.74/254.16
% 253.74/254.16 Resimplifying inuse:
% 253.74/254.16 Done
% 253.74/254.16
% 253.74/254.16 Resimplifying inuse:
% 253.74/254.16 Done
% 253.74/254.16
% 253.74/254.16
% 253.74/254.16 Intermediate Status:
% 253.74/254.16 Generated: 1145687
% 253.74/254.16 Kept: 251672
% 253.74/254.16 Inuse: 2413
% 253.74/254.16 Deleted: 3954
% 253.74/254.16 Deletedinuse: 18
% 253.74/254.16
% 253.74/254.16 Resimplifying inuse:
% 253.74/254.16 Done
% 253.74/254.16
% 253.74/254.16 Resimplifying inuse:
% 253.74/254.16 Done
% 253.74/254.16
% 253.74/254.16
% 253.74/254.16 Intermediate Status:
% 253.74/254.16 Generated: 1156425
% 253.74/254.16 Kept: 253932
% 253.74/254.16 Inuse: 2433
% 253.74/254.16 Deleted: 3954
% 253.74/254.16 Deletedinuse: 18
% 253.74/254.16
% 253.74/254.16 Resimplifying inuse:
% 253.74/254.16 Done
% 253.74/254.16
% 253.74/254.16 Resimplifying inuse:
% 253.74/254.16 Done
% 253.74/254.16
% 253.74/254.16
% 253.74/254.16 Intermediate Status:
% 253.74/254.16 Generated: 1168125
% 253.74/254.16 Kept: 256071
% 253.74/254.16 Inuse: 2458
% 253.74/254.16 Deleted: 3954
% 253.74/254.16 Deletedinuse:Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------