TSTP Solution File: SWV640-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV640-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n023.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 16:27:22 EDT 2022
% Result : Timeout 300.07s 300.41s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : SWV640-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.14 % Command : bliksem %s
% 0.14/0.36 % Computer : n023.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % DateTime : Thu Jun 16 03:49:20 EDT 2022
% 0.14/0.36 % CPUTime :
% 1.48/1.89 *** allocated 10000 integers for termspace/termends
% 1.48/1.89 *** allocated 10000 integers for clauses
% 1.48/1.89 *** allocated 10000 integers for justifications
% 1.48/1.89 *** allocated 15000 integers for termspace/termends
% 1.48/1.89 *** allocated 22500 integers for termspace/termends
% 1.48/1.89 *** allocated 33750 integers for termspace/termends
% 1.48/1.89 *** allocated 50625 integers for termspace/termends
% 1.48/1.89 Bliksem 1.12
% 1.48/1.89
% 1.48/1.89
% 1.48/1.89 Automatic Strategy Selection
% 1.48/1.89
% 1.48/1.89 Clauses:
% 1.48/1.89 [
% 1.48/1.89 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.48/1.89 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 1.48/1.89 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.48/1.89 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Lim_OLIM'(
% 1.48/1.89 'c_COMBC'( 'c_HOL_Oinverse__class_Odivide'( X ), Y, X, X, X ), Z, hAPP(
% 1.48/1.89 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ), X, X ) ],
% 1.48/1.89 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.48/1.89 'c_Series_Osuminf'( 'c_COMBC'( 'c_COMBB'( 'c_HOL_Oinverse__class_Odivide'(
% 1.48/1.89 X ), Y, X, 'tc_fun'( X, X ), 'tc_nat' ), Z, 'tc_nat', X, X ), X ), hAPP(
% 1.48/1.89 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), 'c_Series_Osuminf'( Y, X ) )
% 1.48/1.89 , Z ) ), ~( 'c_Series_Osummable'( Y, X ) ) ],
% 1.48/1.89 [ =( 'c_Divides_Odiv__class_Omod'( hAPP( 'c_Suc', X ), Y, 'tc_nat' ),
% 1.48/1.89 hAPP( 'c_Suc', 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ) ) ), =(
% 1.48/1.89 hAPP( 'c_Suc', 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ) ), Y ) ]
% 1.48/1.89 ,
% 1.48/1.89 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_SEQ_OLIMSEQ'( Y, Z, X
% 1.48/1.89 ), ~( 'c_SEQ_OLIMSEQ'( 'c_COMBB'( Y, 'c_Suc', 'tc_nat', X, 'tc_nat' ), Z
% 1.48/1.89 , X ) ) ],
% 1.48/1.89 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.48/1.89 'c_COMBB'( Y, 'c_Suc', 'tc_nat', X, 'tc_nat' ), Z, X ), ~(
% 1.48/1.89 'c_SEQ_OLIMSEQ'( Y, Z, X ) ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.48/1.89 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.48/1.89 , hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ) ), hAPP(
% 1.48/1.89 'c_HOL_Oabs__class_Oabs'( X ), Z ) ), hAPP( hAPP(
% 1.48/1.89 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X ), ~(
% 1.48/1.89 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Z ), U, X
% 1.48/1.89 ) ), ~( 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ),
% 1.48/1.89 Y ), T, X ) ) ],
% 1.48/1.89 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.48/1.89 'c_lessequals'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP(
% 1.48/1.89 'c_HOL_Ominus__class_Ominus'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y
% 1.48/1.89 ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Z ) ) ), hAPP(
% 1.48/1.89 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.48/1.89 X ), Y ), Z ) ), X ) ],
% 1.48/1.89 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~(
% 1.48/1.89 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'(
% 1.48/1.89 'tc_nat' ) ), 'tc_nat' ) ) ],
% 1.48/1.89 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.48/1.89 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.48/1.89 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.48/1.89 , 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.48/1.89 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.48/1.89 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.48/1.89 , 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.48/1.89 'class_Int_Onumber__ring'( X ) ), =( hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.48/1.89 , 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), hAPP(
% 1.48/1.89 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.48/1.89 Y, X ) ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.48/1.89 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.48/1.89 ), X ) ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP(
% 1.48/1.89 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.48/1.89 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.48/1.89 'c_HOL_Oinverse__class_Odivide'( X ), Y ), hAPP(
% 1.48/1.89 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), =( Z,
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.48/1.89 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.48/1.89 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), U )
% 1.48/1.89 , X ), ~( 'c_HOL_Oord__class_Oless'( U, Z, X ) ), ~(
% 1.48/1.89 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U, X ) ), ~(
% 1.48/1.89 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.48/1.89 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), hAPP( hAPP(
% 1.48/1.89 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ), X ), ~(
% 1.48/1.89 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.48/1.89 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ), ~( 'c_lessequals'(
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( T, Z, X ) )
% 1.48/1.89 ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.89 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.48/1.89 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), hAPP( hAPP(
% 1.48/1.89 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ), X ), ~(
% 1.48/1.89 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.48/1.89 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ), ~( 'c_lessequals'( Y
% 1.48/1.89 , 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, T, X ) )
% 1.48/1.89 ],
% 1.48/1.89 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.48/1.89 'c_Set_Oimage'( Y, Z, T, X ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 1.48/1.89 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.48/1.89 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.48/1.89 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP(
% 1.48/1.89 'c_HOL_Oabs__class_Oabs'( X ), Y ), Z, X ) ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'c_lessequals'(
% 1.48/1.89 hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP(
% 1.48/1.89 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.48/1.89 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y
% 1.48/1.89 ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Z ) ), X ) ],
% 1.48/1.89 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.48/1.89 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 1.48/1.89 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ), ~( 'c_lessequals'( Z, Y, X
% 1.48/1.89 ) ) ],
% 1.48/1.89 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.48/1.89 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP(
% 1.48/1.89 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), hAPP(
% 1.48/1.89 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 1.48/1.89 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.48/1.89 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBB'(
% 1.48/1.89 'c_HOL_Ouminus__class_Ouminus'( X ), Z, X, X, Y ), T, hAPP(
% 1.48/1.89 'c_HOL_Ouminus__class_Ouminus'( X ), U ), Y, X ), ~( 'c_Lim_OLIM'( Z, T,
% 1.48/1.89 U, Y, X ) ) ],
% 1.48/1.89 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc'
% 1.48/1.89 , hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ),
% 1.48/1.89 'c_Divides_Odiv__class_Odiv'( X, hAPP( 'c_Suc', hAPP( 'c_Suc',
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat' ) ), X ), ~(
% 1.48/1.89 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.48/1.89 [ 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Suc', hAPP( hAPP(
% 1.48/1.89 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), 'tc_nat' ) ],
% 1.48/1.89 [ 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Suc', hAPP( hAPP(
% 1.48/1.89 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ) ), 'tc_nat' ) ],
% 1.48/1.89 [ 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Suc', hAPP( hAPP(
% 1.48/1.89 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), 'tc_nat' ) ],
% 1.48/1.89 [ ~( 'class_Orderings_Obot'( X ) ), 'c_lessequals'(
% 1.48/1.89 'c_Orderings_Obot__class_Obot'( X ), Y, X ) ],
% 1.48/1.89 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.48/1.89 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP(
% 1.48/1.89 'c_HOL_Oabs__class_Oabs'( X ), Y ) ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.48/1.89 ) ],
% 1.48/1.89 [ 'c_Fun_Oinj__on'( 'c_Suc', X, 'tc_nat', 'tc_nat' ) ],
% 1.48/1.89 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 1.48/1.89 'tc_fun'( Z, 'tc_bool' ) ) ) ) ],
% 1.48/1.89 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( 'c_Suc'
% 1.48/1.89 , X ) ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), X ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.89 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.48/1.89 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.89 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.48/1.89 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.48/1.89 [ =( 'c_SetInterval_Oord__class_OatLeastLessThan'( X, hAPP( 'c_Suc', X )
% 1.48/1.89 , 'tc_nat' ), 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 1.48/1.89 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_nat' ) ) ],
% 1.48/1.89 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.48/1.89 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastAtMost'( Z
% 1.48/1.89 , hAPP( 'c_Suc', T ), 'tc_nat' ), 'tc_nat', X ), hAPP( hAPP(
% 1.48/1.89 'c_HOL_Oplus__class_Oplus'( X ), 'c_Finite__Set_Osetsum'( Y,
% 1.48/1.89 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, 'tc_nat' ), 'tc_nat', X
% 1.48/1.89 ) ), hAPP( Y, hAPP( 'c_Suc', T ) ) ) ), 'c_HOL_Oord__class_Oless'( hAPP(
% 1.48/1.89 'c_Suc', T ), Z, 'tc_nat' ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.89 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.48/1.89 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ), ~(
% 1.48/1.89 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.48/1.89 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T
% 1.48/1.89 ), Z, X ) ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.89 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.48/1.89 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), ~(
% 1.48/1.89 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.48/1.89 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z
% 1.48/1.89 ), X ) ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.89 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.48/1.89 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), T, X ), ~(
% 1.48/1.89 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.48/1.89 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T )
% 1.48/1.89 , Z ), X ) ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.89 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.48/1.89 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.48/1.89 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.48/1.89 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ),
% 1.48/1.89 Z, X ) ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.48/1.89 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), ~(
% 1.48/1.89 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z
% 1.48/1.89 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.48/1.89 , Z, X ) ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 1.48/1.89 , hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.48/1.89 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ),
% 1.48/1.89 Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.48/1.89 T, X ) ) ],
% 1.48/1.89 [ =( 'c_Divides_Odiv__class_Odiv'( X, Y, 'tc_nat' ),
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X
% 1.48/1.89 , Y, 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 1.48/1.89 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 1.48/1.89 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =( hAPP(
% 1.48/1.89 'c_HOL_Oabs__class_Oabs'( X ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.48/1.89 X ), Y ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.48/1.89 X ), X ) ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =( hAPP(
% 1.48/1.89 'c_HOL_Oabs__class_Oabs'( X ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.48/1.89 X ), Y ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.48/1.89 X ), X ) ) ],
% 1.48/1.89 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP(
% 1.48/1.89 'c_HOL_Oabs__class_Oabs'( X ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.48/1.89 X ), Y ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.48/1.89 X ), X ) ) ],
% 1.48/1.89 [ =( 'c_Divides_Odiv__class_Odiv'( X, Y, 'tc_nat' ), hAPP( 'c_Suc',
% 1.48/1.89 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.48/1.89 'tc_nat' ), X ), Y ), Y, 'tc_nat' ) ) ), 'c_HOL_Oord__class_Oless'( X, Y
% 1.48/1.89 , 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.48/1.89 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 1.48/1.89 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( hAPP( hAPP(
% 1.48/1.89 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.48/1.89 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.48/1.89 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.48/1.89 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ), hAPP( hAPP(
% 1.48/1.89 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.48/1.89 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.48/1.89 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.48/1.89 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.48/1.89 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ), hAPP( hAPP(
% 1.48/1.89 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.48/1.89 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.48/1.89 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Oabs__class_Oabs'( X
% 1.48/1.89 ), Y ), Z, X ) ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.89 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.48/1.89 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), ~(
% 1.48/1.89 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.48/1.89 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ),
% 1.48/1.89 Y, X ) ), ~( 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.48/1.89 X ), T ), Z ), X ) ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.89 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.48/1.89 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.48/1.89 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.48/1.89 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T
% 1.48/1.89 ), X ) ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.48/1.89 ), Y ), T ), Z, X ) ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.89 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.48/1.89 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.48/1.89 , Y ) ), Z ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP(
% 1.48/1.89 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ), ~(
% 1.48/1.89 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 1.48/1.89 ,
% 1.48/1.89 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.48/1.89 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.48/1.89 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), hAPP(
% 1.48/1.89 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 1.48/1.89 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.48/1.89 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.48/1.89 , hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ), ~(
% 1.48/1.89 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.48/1.89 [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 1.48/1.89 ) ), Y ) ) ) ],
% 1.48/1.89 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( Y,
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( hAPP(
% 1.48/1.89 'c_HOL_Oabs__class_Oabs'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.48/1.89 ) ],
% 1.48/1.89 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.48/1.89 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 1.48/1.89 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.48/1.89 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ), hAPP( hAPP(
% 1.48/1.89 'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.48/1.89 'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ), X ), hAPP( hAPP(
% 1.48/1.89 'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ), Y ), Z ) ) ) ],
% 1.48/1.89 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ), X ), hAPP(
% 1.48/1.89 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ), Y ), Z ) ), hAPP( hAPP(
% 1.48/1.89 'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ), Y ), hAPP( hAPP(
% 1.48/1.89 'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ), X ), Z ) ) ) ],
% 1.48/1.89 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.48/1.89 'c_lessequals'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP(
% 1.48/1.89 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.48/1.89 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y )
% 1.48/1.89 ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Z ) ), X ) ],
% 1.48/1.89 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, Z, T ), T ),
% 1.48/1.89 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, Z, T ), T ) ) ],
% 1.48/1.89 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.48/1.89 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.48/1.89 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.48/1.89 , X ), 'c_lessequals'( Z, Y, X ) ],
% 1.48/1.89 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 1.48/1.89 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 1.48/1.89 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 1.48/1.89 , X ), 'c_lessequals'( Y, Y, X ) ],
% 1.48/1.89 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.48/1.89 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.48/1.89 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.48/1.89 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 1.48/1.89 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.48/1.89 , X ), 'c_lessequals'( Z, Y, X ) ],
% 1.48/1.89 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.48/1.89 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.89 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.48/1.89 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ), X ) ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.89 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.48/1.89 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ) ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.89 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.48/1.89 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ), X ) ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.89 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.48/1.89 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ) ) ],
% 1.48/1.89 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.48/1.89 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), hAPP( hAPP(
% 1.48/1.89 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ) ), =( Z, T ) ],
% 1.48/1.89 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.48/1.89 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.48/1.89 'c_HOL_Ominus__class_Ominus'( X ), T ), T ) ) ), =( Y, Z ) ],
% 1.48/1.89 [ ~( =( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), U ) ), hAPP( hAPP( X, Y
% 1.48/1.89 ), hAPP( hAPP( Z, T ), W ) ) ) ), =( U, W ), =( T, V0 ), ~(
% 1.48/1.89 'c_Groebner__Basis_Osemiringb'( X, Z, V1, V0, V2, V3 ) ) ],
% 1.48/1.89 [ ~( =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), hAPP( hAPP( Y, U ), W
% 1.48/1.89 ) ), hAPP( hAPP( X, hAPP( hAPP( Y, Z ), W ) ), hAPP( hAPP( Y, U ), T ) )
% 1.48/1.89 ) ), ~( 'c_Groebner__Basis_Osemiringb'( X, Y, V0, V1, V2, V3 ) ), =( T,
% 1.48/1.89 W ), =( Z, U ) ],
% 1.48/1.89 [ ~( =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), hAPP( hAPP( Y, U ), W
% 1.48/1.89 ) ), hAPP( hAPP( X, hAPP( hAPP( Y, Z ), W ) ), hAPP( hAPP( Y, U ), T ) )
% 1.48/1.89 ) ), =( T, W ), =( Z, U ), ~( 'c_Groebner__Basis_Osemiringb'( X, Y, V0,
% 1.48/1.89 V1, V2, V3 ) ) ],
% 1.48/1.89 [ =( 'c_Set_Oimage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.48/1.89 'tc_bool' ) ), Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.48/1.89 'tc_bool' ) ) ) ],
% 1.48/1.89 [ =( X, hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X
% 1.48/1.89 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.48/1.89 X, hAPP( 'c_Suc', hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 1.48/1.89 ), 'tc_nat' ) ) ],
% 1.48/1.89 [ 'c_Fun_Oinj__on'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 1.48/1.89 'tc_bool' ) ), Y, Z ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.48/1.89 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.48/1.89 'c_HOL_Oinverse__class_Odivide'( X ), hAPP(
% 1.48/1.89 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), hAPP(
% 1.48/1.89 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP( hAPP(
% 1.48/1.89 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ],
% 1.48/1.89 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( hAPP( hAPP(
% 1.48/1.89 'c_HOL_Oinverse__class_Odivide'( X ), hAPP(
% 1.48/1.89 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), Z ), hAPP(
% 1.48/1.89 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.48/1.89 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ) ],
% 1.48/1.89 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.48/1.89 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ), 'tc_nat' ),
% 1.48/1.89 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ),
% 1.48/1.89 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.48/1.89 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.48/1.89 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), ~(
% 1.48/1.89 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), ~(
% 1.48/1.89 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.48/1.89 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.48/1.89 hAPP( 'c_Suc', X ), 'tc_nat' ) ],
% 1.48/1.89 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.48/1.89 hAPP( 'c_Suc', X ), 'tc_nat' ) ],
% 1.48/1.89 [ ~( =( 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 1.48/1.89 , 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'(
% 1.48/1.89 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ), =( X, Z ) ],
% 1.48/1.89 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 1.48/1.89 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Y, X ), 'c_Set_Oinsert'( Y
% 1.48/1.89 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ) ]
% 1.48/1.89 ,
% 1.48/1.89 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.48/1.89 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.48/1.89 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.48/1.89 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Z ) ), Y ) ) ],
% 1.48/1.89 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.48/1.89 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'(
% 1.48/1.89 'tc_nat' ) ), 'tc_nat' ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'( X,
% 1.48/1.89 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.48/1.89 'tc_nat' ), X, 'tc_nat' ) ) ],
% 1.48/1.89 [ 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ),
% 1.48/1.89 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.48/1.89 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'(
% 1.48/1.89 'tc_nat' ) ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ) ],
% 1.48/1.89 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.48/1.89 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.48/1.89 'tc_nat' ), hAPP( 'c_Suc', Z ) ), X ), hAPP( hAPP(
% 1.48/1.89 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc', Z ) ), Y ),
% 1.48/1.89 'tc_nat' ) ) ],
% 1.48/1.89 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.48/1.89 'tc_nat' ), hAPP( 'c_Suc', X ) ), Y ), hAPP( hAPP(
% 1.48/1.89 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc', X ) ), Z ),
% 1.48/1.89 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 1.48/1.89 [ 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', X ), Y, 'tc_nat' ), =( hAPP(
% 1.48/1.89 'c_Suc', X ), Y ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ]
% 1.48/1.89 ,
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP( hAPP(
% 1.48/1.89 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.48/1.89 , Y ) ), Z ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ) )
% 1.48/1.89 , ~( 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 1.48/1.89 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.48/1.89 'tc_nat' ), 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.48/1.89 [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), T ) ), ~( hBOOL( hAPP( Y, T )
% 1.48/1.89 ) ) ],
% 1.48/1.89 [ ~( =( hAPP( 'c_Suc', 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ) )
% 1.48/1.89 , Y ) ), =( 'c_Divides_Odiv__class_Omod'( hAPP( 'c_Suc', X ), Y, 'tc_nat'
% 1.48/1.89 ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.48/1.89 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X )
% 1.48/1.89 , Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.48/1.89 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.48/1.89 X ), T ), Y ) ), Z, X ) ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.89 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP(
% 1.48/1.89 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP(
% 1.48/1.89 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.48/1.89 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.48/1.89 , Y ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Z ) ) ) ],
% 1.48/1.89 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP(
% 1.48/1.89 'c_HOL_Oabs__class_Oabs'( X ), Y ), Y ), ~( 'c_HOL_Oord__class_Oless'(
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.48/1.89 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OMin',
% 1.48/1.89 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Int_OMin',
% 1.48/1.89 'tc_Int_Oint' ) ) ],
% 1.48/1.89 [ 'c_HOL_Oord__class_Oless'( X, 'c_Int_OMin', 'tc_Int_Oint' ), ~(
% 1.48/1.89 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OMin',
% 1.48/1.89 'tc_Int_Oint' ) ) ],
% 1.48/1.89 [ =( 'c_Divides_Odiv__class_Odiv'( X, Y, 'tc_nat' ),
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X
% 1.48/1.89 , Y, 'tc_nat' ) ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.89 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.48/1.89 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.48/1.89 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.48/1.89 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.48/1.89 ), Z ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.89 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.48/1.89 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.48/1.89 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.48/1.89 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.48/1.89 ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.89 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.48/1.89 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.48/1.89 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.48/1.89 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.48/1.89 ), Z ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.89 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.48/1.89 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.48/1.89 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.48/1.89 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.48/1.89 ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.48/1.89 [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_Orderings_Obot__class_Obot'(
% 1.48/1.89 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.48/1.89 Y, Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 1.48/1.89 [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 1.48/1.89 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.48/1.89 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ) ) ), ~(
% 1.48/1.89 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.48/1.89 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Lim_OLIM'(
% 1.48/1.89 'c_COMBS'( 'c_COMBB'( 'c_HOL_Oinverse__class_Odivide'( X ), 'c_COMBC'(
% 1.48/1.89 'c_COMBB'( 'c_HOL_Ominus__class_Ominus'( X ), Y, X, 'tc_fun'( X, X ), X )
% 1.48/1.89 , hAPP( Y, Z ), X, X, X ), X, 'tc_fun'( X, X ), X ), 'c_COMBC'(
% 1.48/1.89 'c_HOL_Ominus__class_Ominus'( X ), Z, X, X, X ), X, X, X ), Z, T, X, X )
% 1.48/1.89 , ~( 'c_Deriv_Oderiv'( Y, Z, T, X ) ) ],
% 1.48/1.89 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'( Y
% 1.48/1.89 , Z, T, X ), ~( 'c_Lim_OLIM'( 'c_COMBS'( 'c_COMBB'(
% 1.48/1.89 'c_HOL_Oinverse__class_Odivide'( X ), 'c_COMBC'( 'c_COMBB'(
% 1.48/1.89 'c_HOL_Ominus__class_Ominus'( X ), Y, X, 'tc_fun'( X, X ), X ), hAPP( Y,
% 1.48/1.89 Z ), X, X, X ), X, 'tc_fun'( X, X ), X ), 'c_COMBC'(
% 1.48/1.89 'c_HOL_Ominus__class_Ominus'( X ), Z, X, X, X ), X, X, X ), Z, T, X, X )
% 1.48/1.89 ) ],
% 1.48/1.89 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ), ~(
% 1.48/1.89 'c_Parity_Oeven__odd__class_Oeven'( hAPP( 'c_Suc', X ), 'tc_nat' ) ) ]
% 1.48/1.89 ,
% 1.48/1.89 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( 'c_Suc', X ), 'tc_nat' ),
% 1.48/1.89 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.48/1.89 [ =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.48/1.89 'c_Set_Oimage'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool'
% 1.48/1.89 ) ), Z, X ) ) ],
% 1.48/1.89 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.48/1.89 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), ~(
% 1.48/1.89 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.48/1.89 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP(
% 1.48/1.89 'c_HOL_Oabs__class_Oabs'( X ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.48/1.89 X ), Y ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.48/1.89 ],
% 1.48/1.89 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.48/1.89 'c_HOL_Ominus__class_Ominus'( X ), Y ), hAPP(
% 1.48/1.89 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP( hAPP(
% 1.48/1.89 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.89 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.48/1.89 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.48/1.89 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.48/1.89 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.48/1.89 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.89 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( Z,
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 1.48/1.89 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ) ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.89 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.48/1.89 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), ~(
% 1.48/1.89 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ),
% 1.48/1.89 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.48/1.89 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.89 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'( Z,
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.48/1.89 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), Y, X ) ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.48/1.89 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP(
% 1.48/1.89 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T, X ), ~(
% 1.48/1.89 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.48/1.89 , Z ), T ), X ) ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.48/1.89 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ), Y, X ) ) ],
% 1.48/1.89 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP(
% 1.48/1.89 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.48/1.89 X ), Y ) ), Y ) ],
% 1.48/1.89 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y, hAPP(
% 1.48/1.89 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.48/1.89 X ), Y ) ) ) ],
% 1.48/1.89 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y, hAPP(
% 1.48/1.89 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.48/1.89 X ), Y ) ) ) ],
% 1.48/1.89 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP(
% 1.48/1.89 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.48/1.89 X ), Y ) ), Y ) ],
% 1.48/1.89 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP(
% 1.48/1.89 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.48/1.89 X ), Y ) ), Y ) ],
% 1.48/1.89 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP(
% 1.48/1.89 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.48/1.89 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.48/1.89 'c_HOL_Ominus__class_Ominus'( X ), Z ), Y ) ) ],
% 1.48/1.89 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.48/1.89 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.48/1.89 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 1.48/1.89 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 1.48/1.89 ,
% 1.48/1.89 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.48/1.89 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.48/1.89 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 1.48/1.89 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ]
% 1.48/1.89 ,
% 1.48/1.89 [ 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', X ), hAPP( 'c_Suc', Y ),
% 1.48/1.89 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.48/1.89 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.48/1.89 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', X ), hAPP( 'c_Suc', Y ),
% 1.48/1.89 'tc_nat' ) ) ],
% 1.48/1.89 [ 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', X ), hAPP( 'c_Suc', Y ),
% 1.48/1.89 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.48/1.89 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.48/1.89 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.48/1.89 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.48/1.89 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), Y, X ) ) ],
% 1.48/1.89 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.48/1.89 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.48/1.89 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.48/1.89 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), Y, X ) ) ],
% 1.48/1.89 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.48/1.89 'c_HOL_Oord__class_Oless'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.48/1.89 Z ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, hAPP(
% 1.48/1.89 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 1.48/1.89 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.48/1.89 'c_HOL_Oord__class_Oless'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.48/1.89 Z ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, hAPP(
% 1.48/1.89 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 1.48/1.89 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.48/1.89 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z, X ),
% 1.48/1.89 ~( 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), Y, X )
% 1.48/1.89 ) ],
% 1.48/1.89 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.48/1.89 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z, X ),
% 1.48/1.89 ~( 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), Y, X )
% 1.48/1.89 ) ],
% 1.48/1.89 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.48/1.89 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ),
% 1.48/1.89 ~( 'c_lessequals'( Z, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X )
% 1.48/1.89 ) ],
% 1.48/1.89 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.48/1.89 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ),
% 1.48/1.89 ~( 'c_lessequals'( Z, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X )
% 1.48/1.89 ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.48/1.89 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.48/1.89 'c_HOL_Oinverse__class_Odivide'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.48/1.89 ) ) ) ],
% 1.48/1.89 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~( =(
% 1.48/1.89 hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.48/1.89 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.48/1.89 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), =( hAPP(
% 1.48/1.89 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.48/1.89 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP(
% 1.48/1.89 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.48/1.89 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.48/1.89 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.48/1.89 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.48/1.89 'c_Divides_Odiv__class_Omod'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.48/1.89 ) ],
% 1.48/1.89 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.48/1.89 'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.48/1.89 ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.48/1.89 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.48/1.89 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.48/1.89 ,
% 1.48/1.89 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.48/1.89 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Y ) ), =( Y,
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.48/1.89 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP(
% 1.48/1.89 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.48/1.89 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.48/1.89 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.48/1.89 'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.48/1.89 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.48/1.89 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.48/1.89 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.48/1.89 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.48/1.89 X ) ) ],
% 1.48/1.89 [ =( 'c_Set_Oimage'( 'c_Suc', 'c_SetInterval_Oord__class_OatLeastAtMost'(
% 1.48/1.89 X, Y, 'tc_nat' ), 'tc_nat', 'tc_nat' ),
% 1.48/1.89 'c_SetInterval_Oord__class_OatLeastAtMost'( hAPP( 'c_Suc', X ), hAPP(
% 1.48/1.89 'c_Suc', Y ), 'tc_nat' ) ) ],
% 1.48/1.89 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 1.48/1.89 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 1.48/1.89 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 1.48/1.89 'c_lessequals'( Z, Y, X ) ) ],
% 1.48/1.89 [ =( 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ), X ), ~(
% 1.48/1.89 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.48/1.89 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ),
% 1.48/1.89 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP(
% 1.48/1.89 'c_HOL_Oabs__class_Oabs'( X ), T ) ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.48/1.89 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), Z, X ) ) ],
% 1.48/1.89 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 1.48/1.89 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 1.48/1.89 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 1.48/1.89 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.48/1.89 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP(
% 1.48/1.89 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 1.48/1.89 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), =( Y, Z ) ],
% 1.48/1.89 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =( hAPP(
% 1.48/1.89 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 1.48/1.89 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), =( Y, Z ) ],
% 1.48/1.89 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.48/1.89 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.48/1.89 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.48/1.89 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 1.48/1.89 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.48/1.89 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.48/1.89 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 1.48/1.89 Y, X, 'tc_nat' ), =( Y, X ) ],
% 1.48/1.89 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), 'c_HOL_Oord__class_Oless'( Y, Z,
% 1.48/1.89 'tc_nat' ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ],
% 1.48/1.89 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( Y, Z ), ~(
% 1.48/1.89 'c_Deriv_Oderiv'( T, U, Z, X ) ), ~( 'c_Deriv_Oderiv'( T, U, Y, X ) ) ]
% 1.48/1.89 ,
% 1.48/1.89 [ ~( 'class_RealVector_Ometric__space'( X ) ), =( Y, Z ), ~(
% 1.48/1.89 'c_SEQ_OLIMSEQ'( T, Z, X ) ), ~( 'c_SEQ_OLIMSEQ'( T, Y, X ) ) ],
% 1.48/1.89 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ), =( Y, X ),
% 1.48/1.89 'c_HOL_Oord__class_Oless'( Y, X, 'tc_Int_Oint' ) ],
% 1.48/1.89 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 1.48/1.89 Y, X, 'tc_nat' ), =( Y, X ) ],
% 1.48/1.89 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 1.48/1.89 'class_RealVector_Oreal__normed__algebra__1'( Y ) ), =( Z, T ), ~(
% 1.48/1.89 'c_Lim_OLIM'( U, W, T, Y, X ) ), ~( 'c_Lim_OLIM'( U, W, Z, Y, X ) ) ]
% 1.48/1.89 ,
% 1.48/1.89 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 1.48/1.89 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.48/1.89 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.48/1.89 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 1.48/1.89 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.48/1.89 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.48/1.89 ) ],
% 1.48/1.89 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.48/1.89 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.48/1.89 ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.48/1.89 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.48/1.89 ), =( Z, Y ) ],
% 1.48/1.89 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP(
% 1.48/1.89 'c_HOL_Oabs__class_Oabs'( X ), Y ), Y ), ~( 'c_lessequals'(
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.48/1.89 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ), hAPP( hAPP(
% 1.48/1.89 'c_Power_Opower__class_Opower'( X ), T ), Z ), X ), ~( 'c_lessequals'(
% 1.48/1.89 hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ), hAPP( 'c_HOL_Oabs__class_Oabs'(
% 1.48/1.89 X ), T ), X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ]
% 1.48/1.89 ,
% 1.48/1.89 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 1.48/1.89 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 1.48/1.89 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 1.48/1.89 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( Y, U ) ],
% 1.48/1.89 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 1.48/1.89 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 1.48/1.89 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 1.48/1.89 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( Y, U ) ],
% 1.48/1.89 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 1.48/1.89 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 1.48/1.89 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 1.48/1.89 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( X, T ) ],
% 1.48/1.89 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 1.48/1.89 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 1.48/1.89 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 1.48/1.89 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( X, T ) ],
% 1.48/1.89 [ 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', X ), Y, 'tc_nat' ), ~(
% 1.48/1.89 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), ~(
% 1.48/1.89 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 1.48/1.89 [ 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Suc', X ), 'tc_nat' ) ],
% 1.48/1.89 [ 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Suc', X ), 'tc_nat' ) ],
% 1.48/1.89 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, Y ), T ) ), hAPP( hAPP( Z, Y ),
% 1.48/1.89 hAPP( 'c_Suc', T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, Z, W
% 1.48/1.89 , V0, V1 ) ) ],
% 1.48/1.89 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), Z ), hAPP( hAPP( Y, Z ),
% 1.48/1.89 hAPP( 'c_Suc', T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, Y, W
% 1.48/1.89 , V0, V1 ) ) ],
% 1.48/1.89 [ =( hAPP( hAPP( X, Y ), hAPP( 'c_Suc', Z ) ), hAPP( hAPP( T, Y ), hAPP(
% 1.48/1.89 hAPP( X, Y ), Z ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, T, X, W,
% 1.48/1.89 V0, V1 ) ) ],
% 1.48/1.89 [ =( hAPP( hAPP( X, Y ), hAPP( 'c_Suc', Z ) ), hAPP( hAPP( T, Y ), hAPP(
% 1.48/1.89 hAPP( X, Y ), Z ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, T, X, W,
% 1.48/1.89 V0, V1 ) ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.89 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.48/1.89 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.48/1.89 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.48/1.89 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.48/1.89 ), X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.48/1.89 , X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.48/1.89 ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.89 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.48/1.89 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X
% 1.48/1.89 ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.48/1.89 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.48/1.89 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.48/1.89 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z
% 1.48/1.89 ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.48/1.89 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.48/1.89 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.48/1.89 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ),
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.48/1.89 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.48/1.89 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ),
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.89 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.48/1.89 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X
% 1.48/1.89 ), Y, X ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'(
% 1.48/1.89 Z, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.48/1.89 ), X ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.48/1.89 X ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.89 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.48/1.89 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.48/1.89 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.48/1.89 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~( 'c_lessequals'(
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'(
% 1.48/1.89 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.48/1.89 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.48/1.89 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.89 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.48/1.89 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.48/1.89 X ), X ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'(
% 1.48/1.89 Z, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.48/1.89 ), X ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 1.48/1.89 'c_HOL_Oinverse__class_Odivide'( X ), T ),
% 1.48/1.89 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.89 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.48/1.89 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.48/1.89 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.48/1.89 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~( 'c_lessequals'( Y,
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.48/1.89 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.48/1.89 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.48/1.89 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.48/1.89 [ ~( =( 'c_Divides_Odiv__class_Omod'( X, hAPP( 'c_Suc', hAPP( 'c_Suc',
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat' ),
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ),
% 1.48/1.89 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.48/1.89 [ =( 'c_Divides_Odiv__class_Omod'( X, hAPP( 'c_Suc', hAPP( 'c_Suc',
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat' ),
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~(
% 1.48/1.89 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.48/1.89 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ), Z, X
% 1.48/1.89 ), ~( 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.48/1.89 ), Y ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.48/1.89 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.48/1.89 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z, X ),
% 1.48/1.89 ~( 'c_lessequals'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ), Z, X ) ) ]
% 1.48/1.89 ,
% 1.48/1.89 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( hAPP( hAPP(
% 1.48/1.89 'c_HOL_Ominus__class_Ominus'( X ), 'c_Series_Osuminf'( Y, X ) ),
% 1.48/1.89 'c_Series_Osuminf'( Z, X ) ), 'c_Series_Osuminf'( 'c_COMBS'( 'c_COMBB'(
% 1.48/1.89 'c_HOL_Ominus__class_Ominus'( X ), Y, X, 'tc_fun'( X, X ), 'tc_nat' ), Z
% 1.48/1.89 , 'tc_nat', X, X ), X ) ), ~( 'c_Series_Osummable'( Z, X ) ), ~(
% 1.48/1.89 'c_Series_Osummable'( Y, X ) ) ],
% 1.48/1.89 [ =( 'c_Set_Oimage'( 'c_Suc',
% 1.48/1.89 'c_SetInterval_Oord__class_OatLeastLessThan'( X, Y, 'tc_nat' ), 'tc_nat'
% 1.48/1.89 , 'tc_nat' ), 'c_SetInterval_Oord__class_OatLeastLessThan'( hAPP( 'c_Suc'
% 1.48/1.89 , X ), hAPP( 'c_Suc', Y ), 'tc_nat' ) ) ],
% 1.48/1.89 [ =( 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ),
% 1.48/1.89 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.48/1.89 'tc_nat' ), X ), Y ), Y, 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'( X, Y,
% 1.48/1.89 'tc_nat' ) ],
% 1.48/1.89 [ ~( =( X, hAPP( 'c_Suc', X ) ) ) ],
% 1.48/1.89 [ ~( =( hAPP( 'c_Suc', X ), X ) ) ],
% 1.48/1.89 [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 1.48/1.89 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 1.48/1.89 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), ~(
% 1.48/1.89 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.48/1.89 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 1.48/1.89 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 1.48/1.89 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.48/1.89 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 1.48/1.89 [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Orderings_Obot__class_Obot'(
% 1.48/1.89 'tc_fun'( T, 'tc_bool' ) ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 1.48/1.89 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.48/1.89 [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 1.48/1.89 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 1.48/1.89 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), ~(
% 1.48/1.89 'c_lessequals'( Y, Z, X ) ) ],
% 1.48/1.89 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 1.48/1.89 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 1.48/1.89 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.48/1.89 'c_lessequals'( Y, Z, X ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.89 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.48/1.89 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.48/1.89 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.48/1.89 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.48/1.89 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ) ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.89 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.48/1.89 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.48/1.89 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.48/1.89 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.48/1.89 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ), X ) ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.89 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.48/1.89 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.48/1.89 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.48/1.89 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.48/1.89 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ) ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.89 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.48/1.89 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.48/1.89 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.48/1.89 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.48/1.89 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ), X ) ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.48/1.89 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.48/1.89 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.48/1.89 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ), hAPP( hAPP(
% 1.48/1.89 'c_Power_Opower__class_Opower'( X ), T ), Z ), X ), ~( 'c_lessequals'( Y
% 1.48/1.89 , T, X ) ), 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.48/1.89 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.48/1.89 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ), 'tc_nat'
% 1.48/1.89 ), ~( 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ) ],
% 1.48/1.89 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.48/1.89 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP(
% 1.48/1.89 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), X ), 'tc_nat' ) ) ]
% 1.48/1.89 ,
% 1.48/1.89 [ 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Suc', Y ), 'tc_nat' ), ~(
% 1.48/1.89 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.48/1.89 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.48/1.89 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', X ), Y, 'tc_nat' ) ) ],
% 1.48/1.89 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OBseq'(
% 1.48/1.89 'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'( X ), Y, X, X, 'tc_nat' ), X )
% 1.48/1.89 , ~( 'c_SEQ_OBseq'( Y, X ) ) ],
% 1.48/1.89 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OBseq'( Y,
% 1.48/1.89 X ), ~( 'c_SEQ_OBseq'( 'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'( X ), Y
% 1.48/1.89 , X, X, 'tc_nat' ), X ) ) ],
% 1.48/1.89 [ =( hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' )
% 1.48/1.89 , X ), hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), X ),
% 1.48/1.89 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.48/1.89 'tc_nat' ) ) ],
% 1.48/1.89 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.48/1.89 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.48/1.89 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ),
% 1.48/1.89 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( T, U
% 1.48/1.89 , X ) ) ],
% 1.48/1.89 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.48/1.89 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.48/1.89 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ),
% 1.48/1.89 'c_HOL_Oord__class_Oless'( T, U, X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 1.48/1.89 , X ) ) ],
% 1.48/1.89 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.48/1.89 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.48/1.89 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), 'c_lessequals'( Z, Y, X
% 1.48/1.89 ), ~( 'c_lessequals'( U, T, X ) ) ],
% 1.48/1.89 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.48/1.89 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.48/1.89 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), 'c_lessequals'( U, T, X
% 1.48/1.89 ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.48/1.89 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.48/1.89 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.48/1.89 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 1.48/1.89 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.48/1.89 ,
% 1.48/1.89 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.48/1.89 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.48/1.89 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.48/1.89 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 1.48/1.89 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 1.48/1.89 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 1.48/1.89 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.48/1.89 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.48/1.89 ,
% 1.48/1.89 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.48/1.89 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 1.48/1.89 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.48/1.89 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.89 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.48/1.89 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), hAPP( hAPP(
% 1.48/1.89 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ), ~( 'c_lessequals'(
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.48/1.89 ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.89 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.48/1.89 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), hAPP( hAPP(
% 1.48/1.89 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ), ~( 'c_lessequals'( Z
% 1.48/1.89 , 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) )
% 1.48/1.89 ],
% 1.48/1.89 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 1.48/1.89 'c_Series_Osummable'( 'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'( X ), Y,
% 1.48/1.89 X, X, 'tc_nat' ), X ), ~( 'c_Series_Osummable'( Y, X ) ) ],
% 1.48/1.89 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.48/1.89 'c_lessequals'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), hAPP(
% 1.48/1.89 'c_HOL_Oabs__class_Oabs'( X ), Y ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.48/1.89 , Z ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP(
% 1.48/1.89 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), X ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.48/1.89 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.48/1.89 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), U )
% 1.48/1.89 , X ), ~( 'c_lessequals'( U, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), U, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.48/1.89 Y, T, X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 1.48/1.89 ],
% 1.48/1.89 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP(
% 1.48/1.89 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.48/1.89 X ), Y ), Z ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP(
% 1.48/1.89 'c_HOL_Ominus__class_Ominus'( X ), Z ), Y ) ) ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.48/1.89 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP(
% 1.48/1.89 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.48/1.89 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.48/1.89 'c_HOL_Oinverse__class_Odivide'( X ), Y ), hAPP(
% 1.48/1.89 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP(
% 1.48/1.89 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.48/1.89 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.48/1.89 'c_HOL_Oinverse__class_Odivide'( X ), hAPP(
% 1.48/1.89 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), Z ) ) ],
% 1.48/1.89 [ =( 'c_Divides_Odiv__class_Odiv'( X, hAPP( 'c_Suc',
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ), X ) ],
% 1.48/1.89 [ ~( =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Y ), T ) ) ), ~(
% 1.48/1.89 'c_Groebner__Basis_Osemiringb'( X, U, W, V0, V1, V2 ) ), =( Z, T ) ],
% 1.48/1.89 [ ~( =( X, hAPP( hAPP( Y, X ), Z ) ) ), ~(
% 1.48/1.89 'c_Groebner__Basis_Osemiringb'( Y, T, U, W, V0, V1 ) ), =( Z, W ) ],
% 1.48/1.89 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.48/1.89 X, 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.48/1.89 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), hAPP( 'c_Suc',
% 1.48/1.89 'c_Divides_Odiv__class_Odiv'( Y, X, 'tc_nat' ) ) ), 'tc_nat' ) ],
% 1.48/1.89 [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP(
% 1.48/1.89 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), Z, 'tc_nat' ), hAPP(
% 1.48/1.89 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.48/1.89 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_Divides_Odiv__class_Odiv'( X,
% 1.48/1.89 Z, 'tc_nat' ) ), 'c_Divides_Odiv__class_Odiv'( Y, Z, 'tc_nat' ) ) ),
% 1.48/1.89 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.48/1.89 'tc_nat' ), 'c_Divides_Odiv__class_Omod'( X, Z, 'tc_nat' ) ),
% 1.48/1.89 'c_Divides_Odiv__class_Omod'( Y, Z, 'tc_nat' ) ), Z, 'tc_nat' ) ) ) ]
% 1.48/1.89 ,
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.89 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.48/1.89 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.48/1.89 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.48/1.89 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.48/1.89 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.48/1.89 ), T ), Z ), Y, X ) ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.89 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.48/1.89 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.48/1.89 ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.89 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.48/1.89 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.48/1.89 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.48/1.89 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.48/1.89 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.48/1.89 X ), T ), Z ), X ) ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.89 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.48/1.89 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.48/1.89 X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.48/1.89 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.48/1.89 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.48/1.89 X ) ) ],
% 1.48/1.89 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.48/1.89 'c_HOL_Ominus__class_Ominus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.48/1.89 , Y ) ],
% 1.48/1.89 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.48/1.89 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.48/1.89 X ) ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.48/1.89 X ) ), =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ),
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.48/1.89 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.48/1.89 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.48/1.89 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP(
% 1.48/1.89 'c_HOL_Oabs__class_Oabs'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.48/1.89 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.48/1.89 ), Y ) ) ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ],
% 1.48/1.89 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.48/1.89 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.48/1.89 X ) ) ), =( Y, Z ) ],
% 1.48/1.89 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP( hAPP(
% 1.48/1.89 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.48/1.89 X ) ) ), =( Y, Z ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.48/1.89 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ),
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.48/1.89 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.48/1.89 Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.48/1.89 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.48/1.89 'c_HOL_Oinverse__class_Odivide'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.48/1.89 ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.48/1.89 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.48/1.89 'c_HOL_Oinverse__class_Odivide'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.48/1.89 ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.48/1.89 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( hAPP( hAPP(
% 1.48/1.89 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.48/1.89 Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.48/1.89 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.48/1.89 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X )
% 1.48/1.89 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) )
% 1.48/1.89 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.48/1.89 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 1.48/1.89 ,
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.48/1.89 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.48/1.89 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X )
% 1.48/1.89 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.48/1.89 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.48/1.89 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ]
% 1.48/1.89 ,
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.48/1.89 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.48/1.89 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T )
% 1.48/1.89 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.48/1.89 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ), ~(
% 1.48/1.89 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.48/1.89 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.48/1.89 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.48/1.89 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T )
% 1.48/1.89 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.48/1.89 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ), ~(
% 1.48/1.89 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.48/1.89 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP( hAPP(
% 1.48/1.89 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y
% 1.48/1.89 ) ), Z ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP(
% 1.48/1.89 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ), ~( 'c_lessequals'(
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.89 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.48/1.89 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.48/1.89 X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.48/1.89 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), Z, X ) ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.89 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.48/1.89 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.48/1.89 X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.48/1.89 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ),
% 1.48/1.89 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.89 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.48/1.89 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.48/1.89 X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.48/1.89 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ),
% 1.48/1.89 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.89 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.48/1.89 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.48/1.89 ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z
% 1.48/1.89 , hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ), X ) ) ]
% 1.48/1.89 ,
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.89 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.48/1.89 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.48/1.89 ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.48/1.89 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.89 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.48/1.89 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.48/1.89 ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.48/1.89 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), Y, X ) ),
% 1.48/1.89 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.89 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.48/1.89 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.48/1.89 ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.48/1.89 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), Y, X ) ),
% 1.48/1.89 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.89 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.48/1.89 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.48/1.89 , Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.48/1.89 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), Y, X ) ) ]
% 1.48/1.89 ,
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.89 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.48/1.89 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.48/1.89 X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.48/1.89 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ), ~(
% 1.48/1.89 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.48/1.89 , Y ), T ), Z, X ) ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.89 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.48/1.89 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.48/1.89 X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.48/1.89 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ), ~(
% 1.48/1.89 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.48/1.89 , Y ), T ), Z, X ) ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.89 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.48/1.89 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.48/1.89 ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.48/1.89 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), Y, X ) ), ~(
% 1.48/1.89 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.48/1.89 ), T ), Z ), X ) ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.89 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.48/1.89 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.48/1.89 ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.48/1.89 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), Y, X ) ), ~(
% 1.48/1.89 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.48/1.89 ), T ), Z ), X ) ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.48/1.89 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.48/1.89 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.48/1.89 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ) ), hAPP( hAPP(
% 1.48/1.89 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.48/1.89 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.48/1.89 'c_HOL_Otimes__class_Otimes'( X ), Y ), U ) ), hAPP( hAPP(
% 1.48/1.89 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ), hAPP( hAPP(
% 1.48/1.89 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ), =( U,
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.48/1.89 ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.48/1.89 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.48/1.89 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X )
% 1.48/1.89 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.48/1.89 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.48/1.89 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.48/1.89 T, X ) ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.48/1.89 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.48/1.89 X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.48/1.89 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), Z, X ) ), ~(
% 1.48/1.89 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 1.48/1.89 ,
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.48/1.89 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.48/1.89 ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.48/1.89 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ), ~(
% 1.48/1.89 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 1.48/1.89 ,
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.89 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.48/1.89 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.48/1.89 X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.48/1.89 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), Z, X ) ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.89 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.48/1.89 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.48/1.89 , Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.48/1.89 Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ) ) ]
% 1.48/1.89 ,
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.89 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.48/1.89 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.48/1.89 ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.48/1.89 Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.89 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.48/1.89 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.48/1.89 ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.48/1.89 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ), Z, X ) ) ]
% 1.48/1.89 ,
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =( hAPP(
% 1.48/1.89 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.48/1.89 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.48/1.89 'c_HOL_Oabs__class_Oabs'( X ), Y ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.48/1.89 , Z ) ) ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.48/1.89 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =( hAPP(
% 1.48/1.89 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.48/1.89 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.48/1.89 'c_HOL_Oabs__class_Oabs'( X ), Y ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.48/1.89 , Z ) ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.48/1.89 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =( hAPP(
% 1.48/1.89 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.48/1.89 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.48/1.89 'c_HOL_Oabs__class_Oabs'( X ), Y ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.48/1.89 , Z ) ) ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.48/1.89 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =( hAPP(
% 1.48/1.89 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.48/1.89 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.48/1.89 'c_HOL_Oabs__class_Oabs'( X ), Y ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.48/1.89 , Z ) ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.48/1.89 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.48/1.89 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.48/1.89 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), hAPP( hAPP(
% 1.48/1.89 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.48/1.89 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.48/1.89 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), hAPP( hAPP(
% 1.48/1.89 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 1.48/1.89 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.48/1.89 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), hAPP( hAPP(
% 1.48/1.89 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 1.48/1.89 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.48/1.89 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), hAPP( hAPP(
% 1.48/1.89 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.48/1.89 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.48/1.89 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X )
% 1.48/1.89 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.48/1.89 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.48/1.89 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.48/1.89 T, X ) ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.48/1.89 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.48/1.89 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), hAPP( hAPP(
% 1.48/1.89 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.48/1.89 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.48/1.89 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), hAPP( hAPP(
% 1.48/1.89 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.48/1.89 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.48/1.89 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), ~(
% 1.48/1.89 'c_lessequals'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.48/1.89 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.48/1.89 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), hAPP( hAPP(
% 1.48/1.89 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ), ~(
% 1.48/1.89 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 1.48/1.89 ,
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.48/1.89 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.48/1.89 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), ~(
% 1.48/1.89 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.48/1.89 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.48/1.89 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), hAPP( hAPP(
% 1.48/1.89 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ) ), ~(
% 1.48/1.89 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.48/1.89 ,
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.89 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.48/1.89 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.48/1.89 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.48/1.89 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T
% 1.48/1.89 ), X ) ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.48/1.89 ), Y ), T ), Z, X ) ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.89 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.48/1.89 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), ~(
% 1.48/1.89 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.48/1.89 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ),
% 1.48/1.89 Y, X ) ), ~( 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.48/1.89 X ), T ), Z ), X ) ) ],
% 1.48/1.89 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.48/1.89 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 1.48/1.89 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.48/1.89 , Z ), T ), X ), ~( 'c_lessequals'( Y, T, X ) ), ~(
% 1.48/1.89 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 1.48/1.89 ,
% 1.48/1.89 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.48/1.89 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.48/1.89 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.48/1.89 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.48/1.89 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.48/1.89 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~(
% 1.48/1.89 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.48/1.89 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.48/1.89 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.48/1.89 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ),
% 1.48/1.89 ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z )
% 1.48/1.89 , 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.48/1.89 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.48/1.89 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, hAPP(
% 1.48/1.89 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ) ) ],
% 1.48/1.89 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.48/1.89 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.48/1.89 ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.48/1.89 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.48/1.89 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.48/1.89 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.48/1.89 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.48/1.89 ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.48/1.89 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.48/1.89 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.48/1.89 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP(
% 1.48/1.89 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.48/1.89 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.48/1.89 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), Z ) ) ) ],
% 1.48/1.89 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.48/1.89 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.48/1.89 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP(
% 1.48/1.89 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.48/1.89 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.48/1.89 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), Z ) ), Y ) ) ],
% 1.48/1.89 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.48/1.89 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 1.48/1.89 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.48/1.89 , Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 1.48/1.89 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.48/1.89 [ =( 'c_Set_Oimage'( X, 'c_Set_Oimage'( Y, Z, T, U ), U, W ),
% 1.48/1.89 'c_Set_Oimage'( 'c_COMBB'( X, Y, U, W, T ), Z, T, W ) ) ],
% 1.48/1.89 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 1.48/1.89 'class_RealVector_Ometric__space'( Y ) ), ~(
% 1.48/1.89 'class_RealVector_Ometric__space'( Z ) ), 'c_Lim_OLIM'( 'c_COMBB'( T, U,
% 1.48/1.89 X, Y, Z ), W, hAPP( T, V0 ), Z, Y ), ~( 'c_Lim_OLIM'( U, W, V0, Z, X ) )
% 1.48/1.89 , ~( 'c_Lim_OLIM'( T, V0, hAPP( T, V0 ), X, Y ) ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.48/1.89 'class_Int_Onumber__ring'( X ) ), =( hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.48/1.89 , 'c_Int_Onumber__class_Onumber__of'( Y, X ) ),
% 1.48/1.89 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), 'c_HOL_Oord__class_Oless'(
% 1.48/1.89 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.48/1.89 ), X ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.89 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.48/1.89 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.48/1.89 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.48/1.89 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.48/1.89 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.89 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.48/1.89 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.48/1.89 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.48/1.89 ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.48/1.89 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.48/1.89 ~( 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.48/1.89 , hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ) ) ]
% 1.48/1.89 ,
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.89 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.48/1.89 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.48/1.89 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.48/1.89 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.48/1.89 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.48/1.89 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ),
% 1.48/1.89 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.48/1.89 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.89 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.48/1.89 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.48/1.89 ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.48/1.89 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.48/1.89 ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.48/1.89 X ), T ), Z ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.89 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.48/1.89 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.48/1.89 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.48/1.89 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.48/1.89 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.48/1.89 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ),
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.48/1.89 ), X ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.89 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.48/1.89 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.48/1.89 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.48/1.89 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.48/1.89 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~(
% 1.48/1.89 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.48/1.89 X ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.89 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.48/1.89 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.48/1.89 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.48/1.89 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.48/1.89 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ),
% 1.48/1.89 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.48/1.89 ), X ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.89 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.48/1.89 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'(
% 1.48/1.89 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.48/1.89 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.48/1.89 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~(
% 1.48/1.89 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.48/1.89 ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.89 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.48/1.89 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.48/1.89 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.48/1.89 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.48/1.89 ), X ) ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.48/1.89 ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), Y, X ) ),
% 1.48/1.89 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.89 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.48/1.89 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.48/1.89 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.48/1.89 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.48/1.89 ), X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.48/1.89 , X ), ~( 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.48/1.89 ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ) ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.89 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.48/1.89 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.48/1.89 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.48/1.89 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~( 'c_lessequals'( Y,
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, hAPP( hAPP(
% 1.48/1.89 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.48/1.89 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ),
% 1.48/1.89 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.48/1.89 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.89 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.48/1.89 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.48/1.89 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.48/1.89 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~( 'c_lessequals'(
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.48/1.89 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.48/1.89 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ),
% 1.48/1.89 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.48/1.89 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.89 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.48/1.89 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.48/1.89 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Z
% 1.48/1.89 , X ) ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_lessequals'(
% 1.48/1.89 'c_Int_Onumber__class_Onumber__of'( Z, X ), hAPP( hAPP(
% 1.48/1.89 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ), X ) ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.89 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.48/1.89 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.48/1.89 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.48/1.89 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.48/1.89 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.48/1.89 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.48/1.89 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ) ),
% 1.48/1.89 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.89 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.48/1.89 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.48/1.89 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.48/1.89 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.48/1.89 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ),
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, hAPP( hAPP(
% 1.48/1.89 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.48/1.89 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ),
% 1.48/1.89 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.48/1.89 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.89 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.48/1.89 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.48/1.89 'c_HOL_Otimes__class_Otimes'( X ), Z ),
% 1.48/1.89 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.48/1.89 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ),
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.48/1.89 ), X ), ~( 'c_lessequals'( Z, hAPP( hAPP(
% 1.48/1.89 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.48/1.89 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.89 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.48/1.89 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.48/1.89 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.48/1.89 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.48/1.89 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.48/1.89 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.48/1.89 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ),
% 1.48/1.89 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.48/1.89 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.89 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.48/1.89 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.48/1.89 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.48/1.89 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.48/1.89 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.48/1.89 ), X ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.48/1.89 X ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.89 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.48/1.89 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.48/1.89 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.48/1.89 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.48/1.89 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.48/1.89 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.48/1.89 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), Y, X ) ), ~(
% 1.48/1.89 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.48/1.89 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ) ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.89 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.48/1.89 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.48/1.89 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.48/1.89 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.48/1.89 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ),
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, hAPP( hAPP(
% 1.48/1.89 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.48/1.89 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ), ~( 'c_lessequals'(
% 1.48/1.89 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.48/1.89 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.89 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.48/1.89 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.48/1.89 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.48/1.89 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.48/1.89 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.48/1.89 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.48/1.89 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ), ~( 'c_lessequals'(
% 1.48/1.89 Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.48/1.89 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.89 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.48/1.89 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.48/1.89 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Z
% 1.48/1.89 , X ) ), T ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.48/1.89 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ),
% 1.48/1.89 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.89 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.48/1.89 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.48/1.89 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.48/1.89 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.48/1.89 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.48/1.89 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.48/1.89 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ) ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.89 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.48/1.89 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.48/1.89 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.48/1.89 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~( 'c_lessequals'( Y,
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.48/1.89 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.48/1.89 ), X ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.48/1.89 , Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.89 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.48/1.89 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.48/1.89 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.48/1.89 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~( 'c_lessequals'(
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'(
% 1.48/1.89 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.48/1.89 ), X ), ~( 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.48/1.89 X ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.89 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.48/1.89 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.48/1.89 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.48/1.89 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~( 'c_lessequals'(
% 1.48/1.89 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.48/1.89 ), X ) ), ~( 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.48/1.89 X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ) ),
% 1.48/1.89 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.89 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.48/1.89 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.48/1.89 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.48/1.89 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~( 'c_lessequals'(
% 1.48/1.89 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.48/1.89 ), X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X )
% 1.48/1.89 , X ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.48/1.89 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z, X ) ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.89 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.48/1.89 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.48/1.89 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.48/1.89 , X ) ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.48/1.89 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.48/1.89 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ) ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.89 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.48/1.89 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.48/1.89 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.48/1.89 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.48/1.89 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.48/1.89 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.48/1.89 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z, X ) ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.89 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.48/1.89 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.48/1.89 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.48/1.89 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.48/1.89 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.48/1.89 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.48/1.89 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ) ), ~(
% 1.48/1.89 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.48/1.89 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z, X ) ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.89 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.48/1.89 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.48/1.89 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.48/1.89 , X ) ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.48/1.89 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ),
% 1.48/1.89 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.48/1.89 [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 1.48/1.89 X, hAPP( 'c_Suc', X ), 'tc_nat' ) ],
% 1.48/1.89 [ ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ), ~(
% 1.48/1.89 'c_HOL_Oord__class_Oless'( Y, hAPP( 'c_Suc', X ), 'tc_nat' ) ) ],
% 1.48/1.89 [ 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Suc', Y ), 'tc_nat' ),
% 1.48/1.89 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 1.48/1.89 [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( 'c_Suc', X ), hAPP( 'c_Suc',
% 1.48/1.89 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat' ),
% 1.48/1.89 hAPP( 'c_Suc', 'c_Divides_Odiv__class_Odiv'( X, hAPP( 'c_Suc', hAPP(
% 1.48/1.89 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat' ) ) ),
% 1.48/1.89 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.48/1.89 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 1.48/1.89 hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z, X ),
% 1.48/1.89 'c_Divides_Odiv__class_Omod'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.48/1.89 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ), Z, X ) ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.48/1.89 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.48/1.89 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~(
% 1.48/1.89 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.48/1.89 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.48/1.89 ,
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.48/1.89 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.48/1.89 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~(
% 1.48/1.89 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.48/1.89 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.48/1.89 ,
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.89 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.48/1.89 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.48/1.89 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~(
% 1.48/1.89 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.48/1.89 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.48/1.89 ,
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.89 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.48/1.89 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.48/1.89 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~(
% 1.48/1.89 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.48/1.89 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.48/1.89 ,
% 1.48/1.89 [ ~( =( 'c_Divides_Odiv__class_Omod'( X, hAPP( 'c_Suc', hAPP( 'c_Suc',
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat' ), hAPP( 'c_Suc',
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), ~(
% 1.48/1.89 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.48/1.89 [ =( 'c_Divides_Odiv__class_Omod'( X, hAPP( 'c_Suc', hAPP( 'c_Suc',
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat' ), hAPP( 'c_Suc',
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ),
% 1.48/1.89 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.48/1.89 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.48/1.89 'c_HOL_Ominus__class_Ominus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.48/1.89 , hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ],
% 1.48/1.89 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), hAPP(
% 1.48/1.89 'c_Suc', Y ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ),
% 1.48/1.89 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ),
% 1.48/1.89 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ), Y ) ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.48/1.89 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.48/1.89 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.48/1.89 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~(
% 1.48/1.89 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_Int_Oint' ) ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.48/1.89 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z,
% 1.48/1.89 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.48/1.89 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.48/1.89 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ],
% 1.48/1.89 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ), ~(
% 1.48/1.89 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( X,
% 1.48/1.89 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' )
% 1.48/1.89 ) ],
% 1.48/1.89 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.48/1.89 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.48/1.89 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP(
% 1.48/1.89 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.48/1.89 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.48/1.89 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.48/1.89 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP(
% 1.48/1.89 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.48/1.89 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.48/1.89 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.48/1.89 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP(
% 1.48/1.89 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.48/1.89 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.48/1.89 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.48/1.89 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP(
% 1.48/1.89 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.48/1.89 'c_HOL_Oinverse__class_Odivide'( X ), hAPP(
% 1.48/1.89 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), hAPP(
% 1.48/1.89 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP( hAPP(
% 1.48/1.89 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), =( Z,
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.48/1.89 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.48/1.89 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( 'c_Suc', X ) ), Y ) ),
% 1.48/1.89 hAPP( 'c_Suc', Z ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat'
% 1.48/1.89 ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Z )
% 1.48/1.89 ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.48/1.89 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.48/1.89 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z )
% 1.48/1.89 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z,
% 1.48/1.89 X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.48/1.89 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.48/1.89 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z )
% 1.48/1.89 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.48/1.89 X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 1.48/1.89 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), hAPP( hAPP( Y, U ), T ) )
% 1.48/1.89 , hAPP( hAPP( Y, hAPP( hAPP( X, Z ), U ) ), T ) ), ~(
% 1.48/1.89 'c_Groebner__Basis_Ogb__semiring'( X, Y, W, V0, V1, V2 ) ) ],
% 1.48/1.89 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), T ), hAPP( hAPP( Y, hAPP(
% 1.48/1.89 hAPP( X, Z ), U ) ), T ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, Y, W
% 1.48/1.89 , V0, U, V1 ) ) ],
% 1.48/1.89 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), Y ) ), hAPP( hAPP( Z, hAPP(
% 1.48/1.89 hAPP( X, T ), U ) ), Y ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, Z, W
% 1.48/1.89 , V0, U, V1 ) ) ],
% 1.48/1.89 [ =( hAPP( hAPP( X, Y ), Y ), hAPP( hAPP( Z, hAPP( hAPP( X, T ), T ) ),
% 1.48/1.89 Y ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, Z, U, W, T, V0 ) ) ],
% 1.48/1.89 [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 1.48/1.89 X, T, U, Y, W, V0 ) ) ],
% 1.48/1.89 [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 1.48/1.89 X, T, U, Z, W, V0 ) ) ],
% 1.48/1.89 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~(
% 1.48/1.89 'c_Groebner__Basis_Ogb__semiring'( T, X, U, W, V0, V1 ) ) ],
% 1.48/1.89 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ), hAPP( hAPP( Y, hAPP(
% 1.48/1.89 hAPP( X, Z ), U ) ), hAPP( hAPP( X, T ), U ) ) ), ~(
% 1.48/1.89 'c_Groebner__Basis_Ogb__semiring'( Y, X, W, V0, V1, V2 ) ) ],
% 1.48/1.89 [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 1.48/1.89 T, X, U, Y, W, V0 ) ) ],
% 1.48/1.89 [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 1.48/1.89 T, X, U, Z, W, V0 ) ) ],
% 1.48/1.89 [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 1.48/1.89 T, X, U, W, Y, V0 ) ) ],
% 1.48/1.89 [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 1.48/1.89 T, X, U, W, Z, V0 ) ) ],
% 1.48/1.89 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, T ), U ) )
% 1.48/1.89 , hAPP( hAPP( X, hAPP( hAPP( X, Y ), T ) ), hAPP( hAPP( X, Z ), U ) ) ),
% 1.48/1.89 ~( 'c_Groebner__Basis_Ogb__semiring'( W, X, V0, V1, V2, V3 ) ) ],
% 1.48/1.89 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, T ), U ) )
% 1.48/1.89 , hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), hAPP( hAPP( X, T ), U ) ) ) ),
% 1.48/1.89 ~( 'c_Groebner__Basis_Ogb__semiring'( W, X, V0, V1, V2, V3 ) ) ],
% 1.48/1.89 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, T ), U ) )
% 1.48/1.89 , hAPP( hAPP( X, T ), hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), U ) ) ),
% 1.48/1.89 ~( 'c_Groebner__Basis_Ogb__semiring'( W, X, V0, V1, V2, V3 ) ) ],
% 1.48/1.89 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, hAPP(
% 1.48/1.89 hAPP( X, Y ), T ) ), Z ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, W
% 1.48/1.89 , V0, V1, V2 ) ) ],
% 1.48/1.89 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ),
% 1.48/1.89 hAPP( hAPP( X, Z ), T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X,
% 1.48/1.89 W, V0, V1, V2 ) ) ],
% 1.48/1.89 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, hAPP(
% 1.48/1.89 hAPP( X, Y ), Z ) ), T ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, W
% 1.48/1.89 , V0, V1, V2 ) ) ],
% 1.48/1.89 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, Z ),
% 1.48/1.89 hAPP( hAPP( X, Y ), T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X,
% 1.48/1.89 W, V0, V1, V2 ) ) ],
% 1.48/1.89 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, T ), U ) )
% 1.48/1.89 , hAPP( hAPP( X, hAPP( hAPP( X, Y ), T ) ), hAPP( hAPP( X, Z ), U ) ) ),
% 1.48/1.89 ~( 'c_Groebner__Basis_Ogb__semiring'( X, W, V0, V1, V2, V3 ) ) ],
% 1.48/1.89 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ),
% 1.48/1.89 hAPP( hAPP( X, Z ), T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, U,
% 1.48/1.89 W, V0, V1, V2 ) ) ],
% 1.48/1.89 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, Z ),
% 1.48/1.89 hAPP( hAPP( X, Y ), T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, U,
% 1.48/1.89 W, V0, V1, V2 ) ) ],
% 1.48/1.89 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, hAPP(
% 1.48/1.89 hAPP( X, Y ), T ) ), Z ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, U, W
% 1.48/1.89 , V0, V1, V2 ) ) ],
% 1.48/1.89 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~(
% 1.48/1.89 'c_Groebner__Basis_Ogb__semiring'( X, T, U, W, V0, V1 ) ) ],
% 1.48/1.89 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, hAPP(
% 1.48/1.89 hAPP( X, Y ), Z ) ), T ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, U, W
% 1.48/1.89 , V0, V1, V2 ) ) ],
% 1.48/1.89 [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 1.48/1.89 X, T, U, Y, W, V0 ) ) ],
% 1.48/1.89 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, hAPP(
% 1.48/1.89 hAPP( X, Y ), Z ) ), T ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, U, W
% 1.48/1.89 , V0, V1, V2 ) ) ],
% 1.48/1.89 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~(
% 1.48/1.89 'c_Groebner__Basis_Ogb__semiring'( X, T, U, W, V0, V1 ) ) ],
% 1.48/1.89 [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 1.48/1.89 T, X, U, Y, W, V0 ) ) ],
% 1.48/1.89 [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 1.48/1.89 T, X, U, W, Y, V0 ) ) ],
% 1.48/1.89 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, hAPP(
% 1.48/1.89 hAPP( X, Y ), Z ) ), T ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, W
% 1.48/1.89 , V0, V1, V2 ) ) ],
% 1.48/1.89 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~(
% 1.48/1.89 'c_Groebner__Basis_Ogb__semiring'( T, X, U, W, V0, V1 ) ) ],
% 1.48/1.89 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), U ) ), hAPP( hAPP( Z, hAPP(
% 1.48/1.89 hAPP( X, Y ), T ) ), hAPP( hAPP( X, Y ), U ) ) ), ~(
% 1.48/1.89 'c_Groebner__Basis_Ogb__semiring'( Z, X, W, V0, V1, V2 ) ) ],
% 1.48/1.89 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ), hAPP( hAPP( Y, hAPP(
% 1.48/1.89 hAPP( X, Z ), U ) ), hAPP( hAPP( X, T ), U ) ) ), ~(
% 1.48/1.89 'c_Groebner__Basis_Ogb__semiring'( W, Y, X, V0, V1, V2 ) ) ],
% 1.48/1.89 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 1.48/1.89 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), T, X ),
% 1.48/1.89 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X
% 1.48/1.89 ), 'c_Divides_Odiv__class_Omod'( Y, T, X ) ),
% 1.48/1.89 'c_Divides_Odiv__class_Omod'( Z, T, X ) ), T, X ) ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.48/1.89 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~(
% 1.48/1.89 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.48/1.89 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.48/1.89 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~(
% 1.48/1.89 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.48/1.89 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.48/1.89 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.48/1.89 'c_lessequals'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ), Z, X ), ~(
% 1.48/1.89 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z, X ) )
% 1.48/1.89 , ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.48/1.89 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.48/1.89 'c_lessequals'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ), Z, X ), ~(
% 1.48/1.89 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z, X ) )
% 1.48/1.89 , ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.48/1.89 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP(
% 1.48/1.89 'c_HOL_Oabs__class_Oabs'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X )
% 1.48/1.89 , Y ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ) ) ],
% 1.48/1.89 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.48/1.89 'c_lessequals'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ),
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ]
% 1.48/1.89 ,
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.89 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.48/1.89 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), ~(
% 1.48/1.89 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.48/1.89 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ),
% 1.48/1.89 Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z,
% 1.48/1.89 X ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.89 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.48/1.89 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), ~(
% 1.48/1.89 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ),
% 1.48/1.89 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.48/1.89 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z
% 1.48/1.89 ), X ) ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.89 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.48/1.89 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.48/1.89 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.48/1.89 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T
% 1.48/1.89 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.48/1.89 , X ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.89 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.48/1.89 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.48/1.89 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.48/1.89 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.48/1.89 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ),
% 1.48/1.89 Z, X ) ) ],
% 1.48/1.89 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 1.48/1.89 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 1.48/1.89 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 1.48/1.89 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ],
% 1.48/1.89 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.48/1.89 'c_Series_Osuminf'( 'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'( X ), Y, X
% 1.48/1.89 , X, 'tc_nat' ), X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.48/1.89 'c_Series_Osuminf'( Y, X ) ) ), ~( 'c_Series_Osummable'( Y, X ) ) ],
% 1.48/1.89 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.48/1.89 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.48/1.89 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP(
% 1.48/1.89 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 1.48/1.89 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.48/1.89 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP(
% 1.48/1.89 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ), ~( 'c_lessequals'( Y,
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.48/1.89 [ 'c_HOL_Oord__class_Oless'( 'c_Divides_Odiv__class_Omod'( X, Y,
% 1.48/1.89 'tc_nat' ), Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =( hAPP(
% 1.48/1.89 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP(
% 1.48/1.89 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.48/1.89 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.48/1.89 , Y ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Z ) ) ), =( Z,
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.48/1.89 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 1.48/1.89 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), T, X ),
% 1.48/1.89 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X
% 1.48/1.89 ), 'c_Divides_Odiv__class_Omod'( Y, T, X ) ), Z ), T, X ) ) ],
% 1.48/1.89 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 1.48/1.89 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), T, X ),
% 1.48/1.89 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X
% 1.48/1.89 ), Y ), 'c_Divides_Odiv__class_Omod'( Z, T, X ) ), T, X ) ) ],
% 1.48/1.89 [ =( hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' )
% 1.48/1.89 , hAPP( 'c_Suc', hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 1.48/1.89 ) ), 'c_Divides_Odiv__class_Odiv'( X, hAPP( 'c_Suc', hAPP( 'c_Suc',
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat' ) ) ), X ),
% 1.48/1.89 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.48/1.89 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.48/1.89 'tc_nat' ), X ), Y ), hAPP( 'c_Suc', X ), 'tc_nat' ) ],
% 1.48/1.89 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X,
% 1.48/1.89 'c_Set_Oinsert'( U, Y, Z ), Z, T ) ) ],
% 1.48/1.89 [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( 'c_Suc', X ), Y, 'tc_nat' ),
% 1.48/1.89 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.48/1.89 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_Divides_Odiv__class_Odiv'( X,
% 1.48/1.89 Y, 'tc_nat' ) ), 'c_Divides_Odiv__class_Odiv'( hAPP( 'c_Suc',
% 1.48/1.89 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Y, 'tc_nat' ) ) ),
% 1.48/1.89 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.48/1.89 'tc_nat' ), 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ) ),
% 1.48/1.89 'c_Divides_Odiv__class_Omod'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'(
% 1.48/1.89 'tc_nat' ) ), Y, 'tc_nat' ) ), Y, 'tc_nat' ) ) ) ],
% 1.48/1.89 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.48/1.89 'c_Divides_Odiv__class_Omod'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), Z
% 1.48/1.89 , X ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 1.48/1.89 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OMin', 'c_Int_OPls', 'tc_Int_Oint' )
% 1.48/1.89 ],
% 1.48/1.89 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.48/1.89 'c_lessequals'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP(
% 1.48/1.89 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.48/1.89 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) )
% 1.48/1.89 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.48/1.89 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.48/1.89 X ), Y ), T ) ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP(
% 1.48/1.89 'c_HOL_Ominus__class_Ominus'( X ), Z ), U ) ) ), X ) ],
% 1.48/1.89 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 1.48/1.89 'c_Series_Osummable'( Y, X ), ~( 'c_Series_Osums'( Y, Z, X ) ) ],
% 1.48/1.89 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 1.48/1.89 'c_Series_Osummable'( Y, X ), ~( 'c_Series_Osums'( Y, Z, X ) ) ],
% 1.48/1.89 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.48/1.89 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.48/1.89 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) )
% 1.48/1.89 ],
% 1.48/1.89 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.48/1.89 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ),
% 1.48/1.89 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.48/1.89 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.48/1.89 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.48/1.89 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Y, X ) )
% 1.48/1.89 ],
% 1.48/1.89 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.48/1.89 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Y, X ),
% 1.48/1.89 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.48/1.89 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.48/1.89 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.48/1.89 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) )
% 1.48/1.89 ],
% 1.48/1.89 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.48/1.89 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ),
% 1.48/1.89 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.48/1.89 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.48/1.89 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.48/1.89 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Y, X ) )
% 1.48/1.89 ],
% 1.48/1.89 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.48/1.89 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Y, X ),
% 1.48/1.89 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP(
% 1.48/1.89 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.48/1.89 X ), Y ) ), Z ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z
% 1.48/1.89 ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 1.48/1.89 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP(
% 1.48/1.89 'c_HOL_Oabs__class_Oabs'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ) )
% 1.48/1.89 , hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ) ) ],
% 1.48/1.89 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.48/1.89 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP(
% 1.48/1.89 'c_HOL_Oabs__class_Oabs'( X ), Y ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.48/1.89 X ) ) ],
% 1.48/1.89 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OMin', X, 'tc_Int_Oint' ), ~(
% 1.48/1.89 'c_HOL_Oord__class_Oless'( 'c_Int_OMin', 'c_Int_OBit0'( X ),
% 1.48/1.89 'tc_Int_Oint' ) ) ],
% 1.48/1.89 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OMin', 'c_Int_OBit0'( X ),
% 1.48/1.89 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( 'c_Int_OMin', X,
% 1.48/1.89 'tc_Int_Oint' ) ) ],
% 1.48/1.89 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OMin', X, 'tc_Int_Oint' ), ~(
% 1.48/1.89 'c_HOL_Oord__class_Oless'( 'c_Int_OMin', 'c_Int_OBit1'( X ),
% 1.48/1.89 'tc_Int_Oint' ) ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.89 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.48/1.89 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.48/1.89 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.48/1.89 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.48/1.89 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.48/1.89 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.48/1.89 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), Y, X ) ),
% 1.48/1.89 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.89 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.48/1.89 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.48/1.89 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.48/1.89 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.48/1.89 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.48/1.89 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 'c_lessequals'(
% 1.48/1.89 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.48/1.89 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.89 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.48/1.89 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.48/1.89 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.48/1.89 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.48/1.89 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.48/1.89 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'( Y,
% 1.48/1.89 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ),
% 1.48/1.89 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.48/1.89 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.89 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.48/1.89 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.48/1.89 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.48/1.89 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.48/1.89 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'( Y,
% 1.48/1.90 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.48/1.90 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), Z ),
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 'c_lessequals'(
% 1.48/1.90 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.48/1.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.48/1.90 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 1.48/1.90 , X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.48/1.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.48/1.90 ), X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.48/1.90 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.48/1.90 ), 'c_HOL_Oone__class_Oone'( X ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.48/1.90 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.48/1.90 X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.48/1.90 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.48/1.90 ), 'c_HOL_Oone__class_Oone'( X ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.48/1.90 , X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.48/1.90 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X )
% 1.48/1.90 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.48/1.90 ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.48/1.90 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.48/1.90 ,
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.48/1.90 ), X ) ) ],
% 1.48/1.90 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.48/1.90 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.48/1.90 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X
% 1.48/1.90 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.48/1.90 'c_Divides_Odiv__class_Omod'( Y, T, X ) ), Z ) ) ],
% 1.48/1.90 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.48/1.90 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.48/1.90 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X
% 1.48/1.90 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.48/1.90 'c_Divides_Odiv__class_Omod'( Z, T, X ) ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.48/1.90 X ), Y ) ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP(
% 1.48/1.90 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.48/1.90 [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 1.48/1.90 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 1.48/1.90 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 1.48/1.90 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 1.48/1.90 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.48/1.90 ), U ), Y ), Z, X ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), W ), T ), Z, X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y
% 1.48/1.90 ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ) ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ) ],
% 1.48/1.90 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.48/1.90 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.48/1.90 ), Y ), Z ), T, X ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), 'c_Divides_Odiv__class_Omod'( Y, T, X
% 1.48/1.90 ) ), 'c_Divides_Odiv__class_Omod'( Z, T, X ) ), T, X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.48/1.90 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.48/1.90 ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.48/1.90 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.48/1.90 ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.48/1.90 X ), Y ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.48/1.90 X ), Y ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ) ],
% 1.48/1.90 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP(
% 1.48/1.90 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP(
% 1.48/1.90 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ) ],
% 1.48/1.90 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP(
% 1.48/1.90 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP(
% 1.48/1.90 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ) ],
% 1.48/1.90 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.48/1.90 X ), Y ) ), Z ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ) ],
% 1.48/1.90 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.48/1.90 X ), Y ) ), Z ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP(
% 1.48/1.90 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP(
% 1.48/1.90 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP(
% 1.48/1.90 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.48/1.90 X ), Y ) ), Z ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.48/1.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ) ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP(
% 1.48/1.90 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.48/1.90 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.48/1.90 'c_HOL_Oabs__class_Oabs'( X ), Y ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.48/1.90 , Z ) ) ) ],
% 1.48/1.90 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_Lim_OLIM'(
% 1.48/1.90 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z, hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X, X ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ) ), =( Y, hAPP(
% 1.48/1.90 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), =( Y, Z ) ],
% 1.48/1.90 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.48/1.90 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.48/1.90 ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ), T ), Z, X ),
% 1.48/1.90 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.48/1.90 ), Y ), T ), Z, X ) ) ],
% 1.48/1.90 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ],
% 1.48/1.90 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ],
% 1.48/1.90 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.48/1.90 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.48/1.90 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.48/1.90 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.48/1.90 ), Y ), Z ), T, X ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_Divides_Odiv__class_Omod'( Z,
% 1.48/1.90 T, X ) ), T, X ) ) ],
% 1.48/1.90 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.48/1.90 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.48/1.90 ), Y ), Z ), T, X ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), 'c_Divides_Odiv__class_Omod'( Y, T, X
% 1.48/1.90 ) ), Z ), T, X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.48/1.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), Z ) ) ],
% 1.48/1.90 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'(
% 1.48/1.90 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z, Y, X ) ],
% 1.48/1.90 [ ~( 'class_Divides_Osemiring__div'( X ) ), =( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oplus__class_Oplus'( X ), 'c_Divides_Odiv__class_Omod'( Y, Z, X )
% 1.48/1.90 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.48/1.90 'c_Divides_Odiv__class_Odiv'( Y, Z, X ) ), Z ) ), Y ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.48/1.90 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.48/1.90 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP(
% 1.48/1.90 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ), X ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( T, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.48/1.90 , hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Ominus__class_Ominus'( X ), U ), Y ) ), Z ) ), W ), X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.48/1.90 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.48/1.90 , hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), U ) ), W ), X ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.48/1.90 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), Y ), hAPP(
% 1.48/1.90 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ), W ), X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.48/1.90 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.48/1.90 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP(
% 1.48/1.90 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ), X ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.48/1.90 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Ominus__class_Ominus'( X ), Y ), U ) ), Z ) ), T ), W, X ) ) ]
% 1.48/1.90 ,
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.48/1.90 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.48/1.90 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ) ), U ), W, X ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.48/1.90 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), U ), hAPP(
% 1.48/1.90 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), W ), X ) ) ],
% 1.48/1.90 [ ~( 'class_Divides_Osemiring__div'( X ) ), =( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.48/1.90 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.48/1.90 'c_Divides_Odiv__class_Odiv'( Z, Y, X ) ) ), 'c_Divides_Odiv__class_Omod'(
% 1.48/1.90 Z, Y, X ) ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T )
% 1.48/1.90 ) ],
% 1.48/1.90 [ ~( 'class_Divides_Osemiring__div'( X ) ), =( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.48/1.90 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.48/1.90 'c_Divides_Odiv__class_Odiv'( Y, Z, X ) ), Z ) ),
% 1.48/1.90 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ), T ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ],
% 1.48/1.90 [ ~( 'class_RealVector_Oreal__field'( X ) ), =( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ) ), W ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.48/1.90 X ), Y ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Ominus__class_Ominus'( X ), Z ), U ) ), W ) ) ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Ominus__class_Ominus'( X ), Y ), T ) ), W ) ), U ) ) ) ],
% 1.48/1.90 [ ~( 'class_Divides_Osemiring__div'( X ) ), =( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.48/1.90 X ), Y ), 'c_Divides_Odiv__class_Odiv'( Z, Y, X ) ) ),
% 1.48/1.90 'c_Divides_Odiv__class_Omod'( Z, Y, X ) ), Z ) ],
% 1.48/1.90 [ ~( 'class_Divides_Osemiring__div'( X ) ), =( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.48/1.90 X ), 'c_Divides_Odiv__class_Odiv'( Y, Z, X ) ), Z ) ),
% 1.48/1.90 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ), Y ) ],
% 1.48/1.90 [ ~( 'class_Divides_Osemiring__div'( X ) ), =( Y, hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.48/1.90 X ), 'c_Divides_Odiv__class_Odiv'( Y, Z, X ) ), Z ) ),
% 1.48/1.90 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.48/1.90 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.48/1.90 X ), U ), Z ) ), W ), X ), ~( 'c_lessequals'( T, hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.48/1.90 X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), U ), Y ) ), Z ) ), W
% 1.48/1.90 ), X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( Y
% 1.48/1.90 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), U ) ), W ), X ), ~(
% 1.48/1.90 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), Y ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.48/1.90 X ), Z ), U ) ), W ), X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.48/1.90 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.48/1.90 X ), U ), Z ) ), W ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.48/1.90 X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), U ) ), Z ) ), T
% 1.48/1.90 ), W, X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.48/1.90 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ) ), U ), W, X ), ~(
% 1.48/1.90 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), U ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.48/1.90 X ), Z ), T ) ), W ), X ) ) ],
% 1.48/1.90 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP(
% 1.48/1.90 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.48/1.90 ), Y ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.48/1.90 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP(
% 1.48/1.90 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.48/1.90 ), Z ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ) ],
% 1.48/1.90 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.48/1.90 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T )
% 1.48/1.90 , X ), ~( 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ), X ) ) ],
% 1.48/1.90 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.48/1.90 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.48/1.90 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.48/1.90 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.48/1.90 , 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.48/1.90 , Y ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ),
% 1.48/1.90 ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.48/1.90 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.48/1.90 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.48/1.90 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 1.48/1.90 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.48/1.90 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.48/1.90 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.48/1.90 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.48/1.90 , 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.48/1.90 , Y ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ),
% 1.48/1.90 ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.48/1.90 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.48/1.90 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.48/1.90 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Y ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ) ) ],
% 1.48/1.90 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP(
% 1.48/1.90 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.48/1.90 ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ) ), hAPP(
% 1.48/1.90 'c_HOL_Oabs__class_Oabs'( X ), Z ) ) ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y )
% 1.48/1.90 ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Z ) ) ) ],
% 1.48/1.90 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.48/1.90 ), Y ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), Z ) ]
% 1.48/1.90 ,
% 1.48/1.90 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.48/1.90 ), Y ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ), Z ) ]
% 1.48/1.90 ,
% 1.48/1.90 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.48/1.90 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.48/1.90 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.48/1.90 T, X ) ) ],
% 1.48/1.90 [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 1.48/1.90 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 1.48/1.90 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 1.48/1.90 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 1.48/1.90 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.48/1.90 , U ), Y ), Z, X ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oplus__class_Oplus'( X ), W ), T ), Z, X ) ) ],
% 1.48/1.90 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.48/1.90 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.48/1.90 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 1.48/1.90 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.48/1.90 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.48/1.90 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.48/1.90 , 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ), T ), Z, X ),
% 1.48/1.90 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.48/1.90 , Y ), T ), Z, X ) ) ],
% 1.48/1.90 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.48/1.90 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.48/1.90 , Y ), 'c_Divides_Odiv__class_Omod'( Z, T, X ) ), T, X ),
% 1.48/1.90 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.48/1.90 , Y ), Z ), T, X ) ) ],
% 1.48/1.90 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.48/1.90 ), Y ) ), Z ) ), Z ) ],
% 1.48/1.90 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.48/1.90 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.48/1.90 , Y ), Z ), Z, X ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 1.48/1.90 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.48/1.90 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.48/1.90 , Y ), Z ), Y, X ), 'c_Divides_Odiv__class_Omod'( Z, Y, X ) ) ],
% 1.48/1.90 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.48/1.90 , 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.48/1.90 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~(
% 1.48/1.90 'c_lessequals'( Y, T, X ) ) ],
% 1.48/1.90 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.48/1.90 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 1.48/1.90 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.48/1.90 , 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.48/1.90 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~(
% 1.48/1.90 'c_lessequals'( Z, T, X ) ) ],
% 1.48/1.90 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.48/1.90 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oplus__class_Oplus'( X ), T ), Y ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ) ) ],
% 1.48/1.90 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.48/1.90 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.48/1.90 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~(
% 1.48/1.90 'c_lessequals'( Y, T, X ) ) ],
% 1.48/1.90 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.48/1.90 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.48/1.90 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~(
% 1.48/1.90 'c_lessequals'( Z, T, X ) ) ],
% 1.48/1.90 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.48/1.90 X ), Y ), Z ) ), Z ), Y ) ],
% 1.48/1.90 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.48/1.90 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.48/1.90 , Y ), Z ), T, X ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oplus__class_Oplus'( X ), 'c_Divides_Odiv__class_Omod'( Y, T, X )
% 1.48/1.90 ), 'c_Divides_Odiv__class_Omod'( Z, T, X ) ), T, X ) ) ],
% 1.48/1.90 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.48/1.90 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.48/1.90 , Y ), Z ), T, X ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_Divides_Odiv__class_Omod'( Z, T
% 1.48/1.90 , X ) ), T, X ) ) ],
% 1.48/1.90 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.48/1.90 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.48/1.90 , Y ), Z ), T, X ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oplus__class_Oplus'( X ), 'c_Divides_Odiv__class_Omod'( Y, T, X )
% 1.48/1.90 ), Z ), T, X ) ) ],
% 1.48/1.90 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.48/1.90 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) )
% 1.48/1.90 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Ominus__class_Ominus'( X ), Y ), T ) ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Ominus__class_Ominus'( X ), Z ), U ) ) ) ],
% 1.48/1.90 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), Z ) ), =( Y, hAPP(
% 1.48/1.90 'c_HOL_Ouminus__class_Ouminus'( X ), T ) ) ],
% 1.48/1.90 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.48/1.90 X ), Y ), Z ) ), Z ), Y ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ) ],
% 1.48/1.90 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ) ],
% 1.48/1.90 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.48/1.90 'c_Int_OMin', X ) ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.48/1.90 ) ],
% 1.48/1.90 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ) ), hAPP(
% 1.48/1.90 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ],
% 1.48/1.90 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oplus__class_Oplus'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.48/1.90 ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ),
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T ) ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Ominus__class_Ominus'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.48/1.90 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ), Y ), Z ), X ) )
% 1.48/1.90 , T ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.48/1.90 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.48/1.90 X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.48/1.90 'c_HOL_Oone__class_Oone'( X ) ) ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.48/1.90 Z, X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.48/1.90 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.48/1.90 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.48/1.90 'c_HOL_Oone__class_Oone'( X ) ) ), Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.48/1.90 Y, Z, X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.48/1.90 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ), ~( 'c_lessequals'(
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.48/1.90 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.48/1.90 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ),
% 1.48/1.90 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.48/1.90 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ) ),
% 1.48/1.90 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.48/1.90 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OMin', 'c_Int_OBit1'( X ),
% 1.48/1.90 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( 'c_Int_OMin', X,
% 1.48/1.90 'tc_Int_Oint' ) ) ],
% 1.48/1.90 [ =( 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'c_Divides_Odiv__class_Odiv'( X
% 1.48/1.90 , Y, 'tc_nat' ) ), Y ) ) ) ],
% 1.48/1.90 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ),
% 1.48/1.90 'c_Set_Oinsert'( X, Y, Z ) ) ],
% 1.48/1.90 [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP( 'c_Set_Oinsert'( Z,
% 1.48/1.90 X, T ), Y ) ) ) ],
% 1.48/1.90 [ =( 'c_Divides_Odiv__class_Omod'( hAPP( 'c_Suc', hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), X, 'tc_nat' ),
% 1.48/1.90 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.48/1.90 'c_HOL_Oone__class_Oone'( 'tc_nat' ), X, 'tc_nat' ) ) ],
% 1.48/1.90 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ), X ), Y ),
% 1.48/1.90 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ), Y ), X ) ) ]
% 1.48/1.90 ,
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ),
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( Z,
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( Y,
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ),
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.48/1.90 [ =( hAPP( hAPP( 'c_Power_Opower_Opower'( X, Y, Z ), T ), hAPP( 'c_Suc'
% 1.48/1.90 , U ) ), hAPP( hAPP( Y, T ), hAPP( hAPP( 'c_Power_Opower_Opower'( X, Y, Z
% 1.48/1.90 ), T ), U ) ) ) ],
% 1.48/1.90 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.48/1.90 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat'
% 1.48/1.90 ), X ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Z, X, 'tc_nat' )
% 1.48/1.90 ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ) ],
% 1.48/1.90 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.48/1.90 'c_Divides_Odiv__class_Odiv'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), Z
% 1.48/1.90 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.48/1.90 [ ~( 'class_Divides_Oring__div'( X ) ), ~( =(
% 1.48/1.90 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 1.48/1.90 , Z, X ) ) ), =( 'c_Divides_Odiv__class_Omod'( hAPP(
% 1.48/1.90 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z, X ),
% 1.48/1.90 'c_Divides_Odiv__class_Omod'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.48/1.90 T ), Z, X ) ) ],
% 1.48/1.90 [ ~( =( hAPP( 'c_Suc', X ), hAPP( 'c_Suc', Y ) ) ), =( X, Y ) ],
% 1.48/1.90 [ ~( =( hAPP( 'c_Suc', X ), hAPP( 'c_Suc', Y ) ) ), =( X, Y ) ],
% 1.48/1.90 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.48/1.90 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 1.48/1.90 'c_HOL_Oabs__class_Oabs'( X ), Y ), X ) ],
% 1.48/1.90 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.48/1.90 'c_lessequals'( Y, hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ), X ) ],
% 1.48/1.90 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.48/1.90 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ]
% 1.48/1.90 ,
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.48/1.90 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.48/1.90 'c_HOL_Oabs__class_Oabs'( X ), Y ), Z, X ) ) ],
% 1.48/1.90 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'(
% 1.48/1.90 'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'( X ), Y, X, X, X ), Z, hAPP(
% 1.48/1.90 'c_HOL_Ouminus__class_Ouminus'( X ), T ), X ), ~( 'c_Deriv_Oderiv'( Y, Z
% 1.48/1.90 , T, X ) ) ],
% 1.48/1.90 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( 'c_Suc'
% 1.48/1.90 , X ) ), hAPP( 'c_Suc', Y ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.48/1.90 'tc_nat' ), X ), Y ) ) ],
% 1.48/1.90 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Suc', Y ),
% 1.48/1.90 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ],
% 1.48/1.90 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( Y, hAPP( 'c_Suc', X ),
% 1.48/1.90 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 1.48/1.90 [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Suc', Y ), 'tc_nat' ) ) ],
% 1.48/1.90 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.48/1.90 'c_Divides_Odiv__class_Odiv'( X, Y, 'tc_nat' ) ), Y ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ),
% 1.48/1.90 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ) ) ) ],
% 1.48/1.90 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ),
% 1.48/1.90 'c_Divides_Odiv__class_Odiv'( Y, X, 'tc_nat' ) ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ),
% 1.48/1.90 'c_Divides_Odiv__class_Omod'( Y, X, 'tc_nat' ) ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP(
% 1.48/1.90 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'(
% 1.48/1.90 X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), Z ) ), hAPP(
% 1.48/1.90 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'(
% 1.48/1.90 X ), Y ), Z ) ) ) ],
% 1.48/1.90 [ =( 'c_Divides_Odiv__class_Omod'( X, hAPP( 'c_Suc',
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ),
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.48/1.90 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.48/1.90 'tc_nat' ), X ), Y ), Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z,
% 1.48/1.90 'tc_nat' ) ) ],
% 1.48/1.90 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 1.48/1.90 , X ) ) ],
% 1.48/1.90 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 1.48/1.90 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 1.48/1.90 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_Int_Oint' ) ) ],
% 1.48/1.90 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.48/1.90 , Y, X ) ) ],
% 1.48/1.90 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.48/1.90 , Y, X ) ) ],
% 1.48/1.90 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.48/1.90 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.48/1.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.48/1.90 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ) ), hAPP(
% 1.48/1.90 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ],
% 1.48/1.90 [ ~( 'class_Divides_Oring__div'( X ) ), ~( =(
% 1.48/1.90 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 1.48/1.90 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 1.48/1.90 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 1.48/1.90 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X
% 1.48/1.90 ), U ), Y ), Z, X ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Ominus__class_Ominus'( X ), W ), T ), Z, X ) ) ],
% 1.48/1.90 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.48/1.90 'c_lessequals'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ),
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.48/1.90 ,
% 1.48/1.90 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.48/1.90 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.48/1.90 X ), X ) ) ],
% 1.48/1.90 [ =( X, hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.48/1.90 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.48/1.90 'tc_nat' ) ) ],
% 1.48/1.90 [ =( hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' )
% 1.48/1.90 , X ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ), X ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.48/1.90 'tc_nat' ) ) ],
% 1.48/1.90 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.48/1.90 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.48/1.90 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oinverse__class_Odivide'( X ), 'c_Series_Osuminf'( Y, X ) ), Z ),
% 1.48/1.90 'c_Series_Osuminf'( 'c_COMBC'( 'c_COMBB'( 'c_HOL_Oinverse__class_Odivide'(
% 1.48/1.90 X ), Y, X, 'tc_fun'( X, X ), 'tc_nat' ), Z, 'tc_nat', X, X ), X ) ), ~(
% 1.48/1.90 'c_Series_Osummable'( Y, X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~( 'c_lessequals'( Z
% 1.48/1.90 , 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.48/1.90 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ), X ), ~( 'c_lessequals'( U
% 1.48/1.90 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.48/1.90 , U, X ) ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.48/1.90 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.48/1.90 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X )
% 1.48/1.90 , Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.48/1.90 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.48/1.90 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.48/1.90 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ),
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.48/1.90 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ),
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.48/1.90 [ ~( 'c_Groebner__Basis_Osemiringb'( X, Y, Z, T, U, W ) ), =( V0, hAPP(
% 1.48/1.90 hAPP( X, V0 ), T ) ) ],
% 1.48/1.90 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), hAPP( hAPP( Y, Z ), U ) )
% 1.48/1.90 , hAPP( hAPP( X, hAPP( hAPP( Y, Z ), U ) ), hAPP( hAPP( Y, Z ), T ) ) ),
% 1.48/1.90 ~( 'c_Groebner__Basis_Osemiringb'( X, Y, W, V0, V1, V2 ) ) ],
% 1.48/1.90 [ ~( 'c_Groebner__Basis_Osemiringb'( X, Y, Z, T, U, W ) ), =( hAPP( hAPP(
% 1.48/1.90 X, hAPP( hAPP( Y, V0 ), V1 ) ), hAPP( hAPP( Y, V0 ), V2 ) ), hAPP( hAPP(
% 1.48/1.90 X, hAPP( hAPP( Y, V0 ), V2 ) ), hAPP( hAPP( Y, V0 ), V1 ) ) ) ],
% 1.48/1.90 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'( Y
% 1.48/1.90 , 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_Series_Osummable'( Y, X ) )
% 1.48/1.90 ],
% 1.48/1.90 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( Y,
% 1.48/1.90 'c_Series_Osuminf'( Z, X ) ), ~( 'c_Series_Osums'( Z, Y, X ) ) ],
% 1.48/1.90 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.48/1.90 'c_Series_Osuminf'( Y, X ), Z ), ~( 'c_Series_Osums'( Y, Z, X ) ) ],
% 1.48/1.90 [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 1.48/1.90 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.48/1.90 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ) ), ~(
% 1.48/1.90 'c_lessequals'( Y, Z, X ) ) ],
% 1.48/1.90 [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_Orderings_Obot__class_Obot'(
% 1.48/1.90 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y
% 1.48/1.90 , Z, X ) ), 'c_lessequals'( Y, Z, X ) ],
% 1.48/1.90 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.48/1.90 'c_Set_Oinsert'( Y, Z, X ) ) ) ],
% 1.48/1.90 [ ~( 'c_HOL_Oord__class_Oless'( 'c_Int_OPls', 'c_Int_OMin',
% 1.48/1.90 'tc_Int_Oint' ) ) ],
% 1.48/1.90 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ),
% 1.48/1.90 ~( 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.48/1.90 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'(
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.48/1.90 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ),
% 1.48/1.90 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ),
% 1.48/1.90 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ],
% 1.48/1.90 [ =( 'c_Set_Oimage'( X, 'c_Set_Oinsert'( Y, Z, T ), T, U ),
% 1.48/1.90 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ) ],
% 1.48/1.90 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.48/1.90 'c_lessequals'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y )
% 1.48/1.90 ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Z ) ), X ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP(
% 1.48/1.90 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.48/1.90 X ), Y ) ), Z ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.48/1.90 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ),
% 1.48/1.90 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.48/1.90 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_Series_Osums'(
% 1.48/1.90 'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'( X ), Y, X, X, 'tc_nat' ), hAPP(
% 1.48/1.90 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ), ~( 'c_Series_Osums'( Y, Z
% 1.48/1.90 , X ) ) ],
% 1.48/1.90 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'( Y
% 1.48/1.90 , Z, X ), ~( 'c_SEQ_OLIMSEQ'( 'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.48/1.90 X ), Y, X, X, 'tc_nat' ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z )
% 1.48/1.90 , X ) ) ],
% 1.48/1.90 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.48/1.90 'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'( X ), Y, X, X, 'tc_nat' ), hAPP(
% 1.48/1.90 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ), ~( 'c_SEQ_OLIMSEQ'( Y, Z,
% 1.48/1.90 X ) ) ],
% 1.48/1.90 [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), X ) ) ],
% 1.48/1.90 [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( 'c_Suc', X ), hAPP( 'c_Suc',
% 1.48/1.90 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat' ),
% 1.48/1.90 'c_Divides_Odiv__class_Odiv'( X, hAPP( 'c_Suc', hAPP( 'c_Suc',
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat' ) ), ~(
% 1.48/1.90 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.48/1.90 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 1.48/1.90 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =( hAPP(
% 1.48/1.90 'c_HOL_Oabs__class_Oabs'( X ), Y ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =( hAPP(
% 1.48/1.90 'c_HOL_Oabs__class_Oabs'( X ), Y ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.48/1.90 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~( 'c_lessequals'(
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.48/1.90 ), X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X )
% 1.48/1.90 , X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 1.48/1.90 ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.48/1.90 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.48/1.90 ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.48/1.90 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.48/1.90 ~( 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ) ) ],
% 1.48/1.90 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Ominus__class_Ominus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.48/1.90 X ), Y ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP(
% 1.48/1.90 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ) ) ],
% 1.48/1.90 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.48/1.90 'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.48/1.90 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ), Y, 'tc_nat' ) ) ]
% 1.48/1.90 ,
% 1.48/1.90 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.48/1.90 'tc_nat' ), X ), Y ), Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X,
% 1.48/1.90 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), Y ), 'tc_nat'
% 1.48/1.90 ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.48/1.90 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), T, X ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.48/1.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.48/1.90 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z
% 1.48/1.90 ), Y, X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.48/1.90 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.48/1.90 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ),
% 1.48/1.90 Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z,
% 1.48/1.90 X ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.48/1.90 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.48/1.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~(
% 1.48/1.90 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y )
% 1.48/1.90 , T ), X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.48/1.90 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.48/1.90 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T
% 1.48/1.90 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.48/1.90 , X ) ],
% 1.48/1.90 [ ~( 'c_HOL_Oord__class_Oless'( 'c_Int_OMin', 'c_Int_OMin',
% 1.48/1.90 'tc_Int_Oint' ) ) ],
% 1.48/1.90 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_Series_Osums'(
% 1.48/1.90 Y, 'c_Series_Osuminf'( Y, X ), X ), ~( 'c_Series_Osummable'( Y, X ) ) ]
% 1.48/1.90 ,
% 1.48/1.90 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.48/1.90 'c_Series_Osummable'( Y, X ) ), 'c_Series_Osums'( Y, 'c_Series_Osuminf'(
% 1.48/1.90 Y, X ), X ) ],
% 1.48/1.90 [ =( 'c_Divides_Odiv__class_Omod'( hAPP( 'c_Suc', X ), Y, 'tc_nat' ),
% 1.48/1.90 'c_Divides_Odiv__class_Omod'( hAPP( 'c_Suc', 'c_Divides_Odiv__class_Omod'(
% 1.48/1.90 X, Y, 'tc_nat' ) ), Y, 'tc_nat' ) ) ],
% 1.48/1.90 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP(
% 1.48/1.90 'c_HOL_Oabs__class_Oabs'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), X ) ) ]
% 1.48/1.90 ,
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.48/1.90 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.48/1.90 ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.48/1.90 ,
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.48/1.90 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.48/1.90 ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.48/1.90 ,
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.48/1.90 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.48/1.90 ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.48/1.90 ,
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.48/1.90 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.48/1.90 ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.48/1.90 ,
% 1.48/1.90 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.48/1.90 'tc_Int_Oint' ), X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.48/1.90 'tc_Int_Oint' ), Z ), Y ), 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.48/1.90 X, Z, 'tc_Int_Oint' ) ) ],
% 1.48/1.90 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 1.48/1.90 ,
% 1.48/1.90 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 1.48/1.90 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.48/1.90 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 1.48/1.90 , X ) ) ],
% 1.48/1.90 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.48/1.90 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 1.48/1.90 , X ) ) ],
% 1.48/1.90 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.48/1.90 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.48/1.90 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.48/1.90 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 1.48/1.90 ) ) ],
% 1.48/1.90 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.48/1.90 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 1.48/1.90 ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.48/1.90 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ),
% 1.48/1.90 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.48/1.90 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), 'c_lessequals'(
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.48/1.90 'c_Power_Opower__class_Opower'( X ), Z ), Y ), X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.48/1.90 Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.48/1.90 ~( 'c_lessequals'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.48/1.90 hAPP( 'c_Suc', T ) ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Z
% 1.48/1.90 ), hAPP( 'c_Suc', T ) ), X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.48/1.90 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), 'c_lessequals'( Z,
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.48/1.90 'c_Power_Opower__class_Opower'( X ), Z ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.48/1.90 X ), X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.48/1.90 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.48/1.90 , Y ) ), Z ), X ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.48/1.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.48/1.90 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), =( Y,
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'(
% 1.48/1.90 Z, 'tc_nat' ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( hAPP( hAPP(
% 1.48/1.90 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP(
% 1.48/1.90 hAPP( 'c_Power_Opower__class_Opower'( X ), T ), hAPP( 'c_Suc', Z ) ) ) )
% 1.48/1.90 , =( Y, T ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) )
% 1.48/1.90 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.48/1.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.48/1.90 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ),
% 1.48/1.90 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'(
% 1.48/1.90 Z, 'tc_nat' ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.48/1.90 'c_Power_Opower__class_Opower'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.48/1.90 X ), X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.48/1.90 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.48/1.90 ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.48/1.90 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.48/1.90 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.48/1.90 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), T ), hAPP( hAPP(
% 1.48/1.90 'c_Power_Opower__class_Opower'( X ), Z ), T ), X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.48/1.90 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.48/1.90 ), Z ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.48/1.90 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~(
% 1.48/1.90 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.48/1.90 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~(
% 1.48/1.90 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.48/1.90 'class_OrderedGroup_Omonoid__mult'( X ) ), 'c_lessequals'(
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.48/1.90 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~(
% 1.48/1.90 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 1.48/1.90 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), ~(
% 1.48/1.90 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBC'(
% 1.48/1.90 'c_COMBB'( 'c_HOL_Oinverse__class_Odivide'( X ), Z, X, 'tc_fun'( X, X ),
% 1.48/1.90 Y ), T, Y, X, X ), U, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), W
% 1.48/1.90 ), T ), Y, X ), ~( 'c_Lim_OLIM'( Z, U, W, Y, X ) ) ],
% 1.48/1.90 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'(
% 1.48/1.90 'c_COMBC'( 'c_COMBB'( 'c_HOL_Oinverse__class_Odivide'( X ), Y, X,
% 1.48/1.90 'tc_fun'( X, X ), X ), Z, X, X, X ), T, hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oinverse__class_Odivide'( X ), U ), Z ), X ), ~( 'c_Deriv_Oderiv'(
% 1.48/1.90 Y, T, U, X ) ) ],
% 1.48/1.90 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.48/1.90 'c_Series_Osuminf'( 'c_COMBB'( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y
% 1.48/1.90 ), Z, X, X, 'tc_nat' ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.48/1.90 ), Y ), 'c_Series_Osuminf'( Z, X ) ) ), ~( 'c_Series_Osummable'( Z, X )
% 1.48/1.90 ) ],
% 1.48/1.90 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_Series_Osuminf'( Z, X ) ),
% 1.48/1.90 'c_Series_Osuminf'( 'c_COMBB'( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y
% 1.48/1.90 ), Z, X, X, 'tc_nat' ), X ) ), ~( 'c_Series_Osummable'( Z, X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.48/1.90 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.48/1.90 ), Y ), Z ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), T ), Z ),
% 1.48/1.90 X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.48/1.90 , Z, 'tc_nat' ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 1.48/1.90 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.48/1.90 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ), hAPP(
% 1.48/1.90 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ]
% 1.48/1.90 ,
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.48/1.90 'class_Int_Onumber__ring'( X ) ), =( hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.48/1.90 , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ) ),
% 1.48/1.90 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.48/1.90 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP(
% 1.48/1.90 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oinverse__class_Odivide'( X ), Y ), 'c_HOL_Oone__class_Oone'( X )
% 1.48/1.90 ), Y ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP(
% 1.48/1.90 'c_HOL_Oabs__class_Oabs'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.48/1.90 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.48/1.90 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.48/1.90 'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 1.48/1.90 ],
% 1.48/1.90 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'(
% 1.48/1.90 'c_COMBS'( 'c_COMBB'( 'c_HOL_Ominus__class_Ominus'( X ), Y, X, 'tc_fun'(
% 1.48/1.90 X, X ), X ), Z, X, X, X ), T, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X
% 1.48/1.90 ), U ), W ), X ), ~( 'c_Deriv_Oderiv'( Z, T, W, X ) ), ~(
% 1.48/1.90 'c_Deriv_Oderiv'( Y, T, U, X ) ) ],
% 1.48/1.90 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.48/1.90 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBS'(
% 1.48/1.90 'c_COMBB'( 'c_HOL_Ominus__class_Ominus'( X ), Z, X, 'tc_fun'( X, X ), Y )
% 1.48/1.90 , T, Y, X, X ), U, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), W ), V0
% 1.48/1.90 ), Y, X ), ~( 'c_Lim_OLIM'( T, U, V0, Y, X ) ), ~( 'c_Lim_OLIM'( Z, U, W
% 1.48/1.90 , Y, X ) ) ],
% 1.48/1.90 [ ~( hBOOL( hAPP( X, 'c_Divides_Odiv__class_Omod'( Y,
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ) ), hBOOL( hAPP( X
% 1.48/1.90 , Y ) ) ],
% 1.48/1.90 [ ~( hBOOL( hAPP( X, Y ) ) ), hBOOL( hAPP( X,
% 1.48/1.90 'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.48/1.90 'tc_nat' ) ) ) ],
% 1.48/1.90 [ =( hAPP( hAPP( 'c_Power_Opower_Opower'( X, Y, Z ), T ),
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ) ],
% 1.48/1.90 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 1.48/1.90 [ ~( hBOOL( hAPP( X, 'c_Divides_Odiv__class_Odiv'( Y,
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ) ), hBOOL( hAPP( X
% 1.48/1.90 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.48/1.90 [ ~( hBOOL( hAPP( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), hBOOL(
% 1.48/1.90 hAPP( X, 'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.48/1.90 'tc_nat' ), 'tc_nat' ) ) ) ],
% 1.48/1.90 [ hBOOL( hAPP( X, 'c_Divides_Odiv__class_Odiv'( Y,
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ), ~( hBOOL( hAPP( X
% 1.48/1.90 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 1.48/1.90 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.48/1.90 'tc_nat' ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.48/1.90 [ ~( =( hAPP( 'c_Suc', X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ]
% 1.48/1.90 ,
% 1.48/1.90 [ ~( =( hAPP( 'c_Suc', X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ]
% 1.48/1.90 ,
% 1.48/1.90 [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Ozero__class_Ozero'(
% 1.48/1.90 'tc_nat' ), 'tc_nat' ) ],
% 1.48/1.90 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.48/1.90 ), 'tc_nat' ) ) ],
% 1.48/1.90 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.48/1.90 ), 'tc_nat' ) ) ],
% 1.48/1.90 [ =( hAPP( hAPP( X, Y ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z ),
% 1.48/1.90 ~( 'c_Groebner__Basis_Ogb__semiring'( T, U, X, W, Z, V0 ) ) ],
% 1.48/1.90 [ ~( =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ),
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( =( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), X ),
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y, X ) ],
% 1.48/1.90 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), X ),
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.48/1.90 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ),
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ) ],
% 1.48/1.90 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( 'c_Suc', X ) ) ) ]
% 1.48/1.90 ,
% 1.48/1.90 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( 'c_Suc', X ) ) ) ]
% 1.48/1.90 ,
% 1.48/1.90 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ),
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.48/1.90 'tc_nat' ) ) ],
% 1.48/1.90 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.48/1.90 'c_lessequals'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ),
% 1.48/1.90 'c_Finite__Set_Osetsum'( Y, Z, T, X ) ), 'c_Finite__Set_Osetsum'(
% 1.48/1.90 'c_COMBB'( 'c_HOL_Oabs__class_Oabs'( X ), Y, X, X, T ), Z, T, X ), X ) ]
% 1.48/1.90 ,
% 1.48/1.90 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.48/1.90 'c_Power_Opower__class_Opower'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.48/1.90 'c_Int_OMin', X ) ), Y ), 'c_Int_Onumber__class_Onumber__of'(
% 1.48/1.90 'c_Int_OMin', X ) ), 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ]
% 1.48/1.90 ,
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.48/1.90 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.48/1.90 ), Y ), Z ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), T ),
% 1.48/1.90 X ), ~( 'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.48/1.90 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.48/1.90 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), T ), Y ), hAPP( hAPP(
% 1.48/1.90 'c_Power_Opower__class_Opower'( X ), T ), Z ), X ) ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), T, X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.48/1.90 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.48/1.90 ), Y ), Z ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), T ),
% 1.48/1.90 X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X )
% 1.48/1.90 ), ~( 'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.48/1.90 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.48/1.90 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), T ), Y ), hAPP( hAPP(
% 1.48/1.90 'c_Power_Opower__class_Opower'( X ), T ), Z ), X ) ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), T, X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP(
% 1.48/1.90 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.48/1.90 X ), 'c_HOL_Oone__class_Oone'( X ) ) ), Y ), hAPP(
% 1.48/1.90 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ),
% 1.48/1.90 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.48/1.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), hAPP( hAPP(
% 1.48/1.90 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), X ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP(
% 1.48/1.90 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.48/1.90 X ), 'c_HOL_Oone__class_Oone'( X ) ) ), Y ), 'c_HOL_Oone__class_Oone'( X
% 1.48/1.90 ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ) ],
% 1.48/1.90 [ =( 'c_Int_OBit1'( 'c_Int_OMin' ), 'c_Int_OMin' ) ],
% 1.48/1.90 [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OMin' ) ), =( X, 'c_Int_OMin' ) ]
% 1.48/1.90 ,
% 1.48/1.90 [ ~( =( 'c_Int_OMin', 'c_Int_OBit1'( X ) ) ), =( 'c_Int_OMin', X ) ]
% 1.48/1.90 ,
% 1.48/1.90 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OBit1'( Y ),
% 1.48/1.90 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ) ) ]
% 1.48/1.90 ,
% 1.48/1.90 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OBit1'( Y ),
% 1.48/1.90 'tc_Int_Oint' ) ) ],
% 1.48/1.90 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OBit1'( Y ),
% 1.48/1.90 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ) ) ]
% 1.48/1.90 ,
% 1.48/1.90 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OBit1'( Y ),
% 1.48/1.90 'tc_Int_Oint' ) ) ],
% 1.48/1.90 [ =( 'c_Int_OMin', 'c_Int_OBit1'( 'c_Int_OMin' ) ) ],
% 1.48/1.90 [ ~( =( 'c_Int_OPls', 'c_Int_OMin' ) ) ],
% 1.48/1.90 [ ~( =( 'c_Int_OMin', 'c_Int_OPls' ) ) ],
% 1.48/1.90 [ ~( 'c_HOL_Oord__class_Oless'( 'c_Int_OPls', 'c_Int_OPls',
% 1.48/1.90 'tc_Int_Oint' ) ) ],
% 1.48/1.90 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ),
% 1.48/1.90 'c_Int_OPls' ), X ), X ) ],
% 1.48/1.90 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ), X ),
% 1.48/1.90 'c_Int_OPls' ), X ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.48/1.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.48/1.90 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.48/1.90 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 1.48/1.90 'c_Power_Opower__class_Opower'( X ), Z ), T ) ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP(
% 1.48/1.90 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'(
% 1.48/1.90 X ), Y ), Z ) ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), hAPP(
% 1.48/1.90 'c_HOL_Oabs__class_Oabs'( X ), Y ) ), Z ) ) ],
% 1.48/1.90 [ ~( =( 'c_Int_OMin', 'c_Int_OBit0'( X ) ) ) ],
% 1.48/1.90 [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OMin' ) ) ],
% 1.48/1.90 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OBit0'( X ), 'c_Int_OBit0'( Y ),
% 1.48/1.90 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ) ) ]
% 1.48/1.90 ,
% 1.48/1.90 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( 'c_Int_OBit0'( X ), 'c_Int_OBit0'( Y ),
% 1.48/1.90 'tc_Int_Oint' ) ) ],
% 1.48/1.90 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OBit0'( X ), 'c_Int_OBit0'( Y ),
% 1.48/1.90 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ) ) ]
% 1.48/1.90 ,
% 1.48/1.90 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( 'c_Int_OBit0'( X ), 'c_Int_OBit0'( Y ),
% 1.48/1.90 'tc_Int_Oint' ) ) ],
% 1.48/1.90 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ),
% 1.48/1.90 'c_Int_OBit0'( X ) ), 'c_Int_OBit0'( Y ) ), 'c_Int_OBit0'( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ), X ), Y ) ) ) ],
% 1.48/1.90 [ =( 'c_Int_OBit0'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.48/1.90 'tc_Int_Oint' ), X ), X ) ) ],
% 1.48/1.90 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( 'c_Suc'
% 1.48/1.90 , X ) ), Y ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ),
% 1.48/1.90 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ),
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ),
% 1.48/1.90 'tc_nat' ) ) ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', 'tc_nat' ), Y, 'tc_nat'
% 1.48/1.90 ) ) ],
% 1.48/1.90 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.48/1.90 'tc_nat' ), Y ), X ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.48/1.90 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Y, 'tc_nat' ) ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'(
% 1.48/1.90 'tc_nat' ) ), X, 'tc_nat' ) ) ],
% 1.48/1.90 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.48/1.90 'tc_nat' ), X ), Y ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.48/1.90 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Y, 'tc_nat' ) ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'(
% 1.48/1.90 'tc_nat' ) ), X, 'tc_nat' ) ) ],
% 1.48/1.90 [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), X, 'tc_nat' ), Y ),
% 1.48/1.90 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.48/1.90 'tc_nat' ) ) ],
% 1.48/1.90 [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), Y, 'tc_nat' ), X ),
% 1.48/1.90 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 1.48/1.90 'tc_nat' ) ) ],
% 1.48/1.90 [ 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'(
% 1.48/1.90 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ),
% 1.48/1.90 Y ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc',
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X, 'tc_nat' ) ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'(
% 1.48/1.90 'tc_nat' ) ), Y, 'tc_nat' ) ) ],
% 1.48/1.90 [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ), 'tc_nat' ),
% 1.48/1.90 'c_Divides_Odiv__class_Odiv'( Y, Z, 'tc_nat' ) ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.48/1.90 'tc_nat' ) ) ],
% 1.48/1.90 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc', hAPP( 'c_Suc',
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), X ), 'tc_nat' ) ],
% 1.48/1.90 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( hAPP( 'c_Suc', hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc', hAPP( 'c_Suc',
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), X ) ), 'tc_nat' ) ) ],
% 1.48/1.90 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ),
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ) ),
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ),
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ) ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( Y, 'c_Int_OPls', 'tc_Int_Oint' ) ) ],
% 1.48/1.90 [ 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( X,
% 1.48/1.90 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' )
% 1.48/1.90 , ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ) ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( 'c_Int_OPls', Y, 'tc_Int_Oint' ) ) ],
% 1.48/1.90 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OPls', X, 'tc_Int_Oint' ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( Y, X, 'tc_Int_Oint' ) ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.48/1.90 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ), 'tc_nat' )
% 1.48/1.90 ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP( hAPP(
% 1.48/1.90 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.48/1.90 , Y ) ), 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), hAPP( hAPP(
% 1.48/1.90 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ) ), ~(
% 1.48/1.90 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.48/1.90 , 'tc_nat' ), 'tc_nat' ) ) ],
% 1.48/1.90 [ =( 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ), hAPP( 'c_Suc',
% 1.48/1.90 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ),
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ) ),
% 1.48/1.90 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.48/1.90 [ 'c_HOL_Oord__class_Oless'( 'c_Divides_Odiv__class_Odiv'( X, Y,
% 1.48/1.90 'tc_nat' ), X, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), Y,
% 1.48/1.90 'tc_nat' ) ) ],
% 1.48/1.90 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.48/1.90 'c_COMBS'( 'c_COMBB'( 'c_HOL_Ominus__class_Ominus'( X ), Y, X, 'tc_fun'(
% 1.48/1.90 X, X ), 'tc_nat' ), Z, 'tc_nat', X, X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Ominus__class_Ominus'( X ), T ), U ), X ), ~( 'c_SEQ_OLIMSEQ'( Z,
% 1.48/1.90 U, X ) ), ~( 'c_SEQ_OLIMSEQ'( Y, T, X ) ) ],
% 1.48/1.90 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 1.48/1.90 'c_Series_Osummable'( 'c_COMBS'( 'c_COMBB'( 'c_HOL_Ominus__class_Ominus'(
% 1.48/1.90 X ), Y, X, 'tc_fun'( X, X ), 'tc_nat' ), Z, 'tc_nat', X, X ), X ), ~(
% 1.48/1.90 'c_Series_Osummable'( Z, X ) ), ~( 'c_Series_Osummable'( Y, X ) ) ],
% 1.48/1.90 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_Series_Osums'(
% 1.48/1.90 'c_COMBS'( 'c_COMBB'( 'c_HOL_Ominus__class_Ominus'( X ), Y, X, 'tc_fun'(
% 1.48/1.90 X, X ), 'tc_nat' ), Z, 'tc_nat', X, X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Ominus__class_Ominus'( X ), T ), U ), X ), ~( 'c_Series_Osums'( Z
% 1.48/1.90 , U, X ) ), ~( 'c_Series_Osums'( Y, T, X ) ) ],
% 1.48/1.90 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.48/1.90 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.48/1.90 , X ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) )
% 1.48/1.90 ],
% 1.48/1.90 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.48/1.90 'tc_nat' ), Z ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.48/1.90 , Z ), Y ), 'tc_nat' ) ) ],
% 1.48/1.90 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.48/1.90 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 1.48/1.90 [ hBOOL( hAPP( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ), ~( hBOOL( hAPP( X, hAPP(
% 1.48/1.90 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ) ) ) ],
% 1.48/1.90 [ =( 'c_SetInterval_Oord__class_OatLeastLessThan'( X, hAPP( 'c_Suc', Y )
% 1.48/1.90 , 'tc_nat' ), 'c_SetInterval_Oord__class_OatLeastAtMost'( X, Y, 'tc_nat'
% 1.48/1.90 ) ) ],
% 1.48/1.90 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ),
% 1.48/1.90 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ),
% 1.48/1.90 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ), ~(
% 1.48/1.90 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), X ), 'tc_nat' ) ) ],
% 1.48/1.90 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ),
% 1.48/1.90 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ),
% 1.48/1.90 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.48/1.90 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ), 'tc_nat' ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.48/1.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.48/1.90 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oinverse__class_Odivide'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.48/1.90 'c_Int_OMin', X ) ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP(
% 1.48/1.90 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X )
% 1.48/1.90 ), Y ) ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.48/1.90 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.48/1.90 , Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.48/1.90 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.48/1.90 X ), Y ), Z ) ), T, X ) ) ],
% 1.48/1.90 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.48/1.90 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastAtMost'( Z
% 1.48/1.90 , hAPP( 'c_Suc', T ), 'tc_nat' ), 'tc_nat', X ),
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.48/1.90 'c_Suc', T ), Z, 'tc_nat' ) ) ],
% 1.48/1.90 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.48/1.90 'tc_nat' ), X ), Y ), X, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 1.48/1.90 'tc_nat' ) ) ],
% 1.48/1.90 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.48/1.90 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP(
% 1.48/1.90 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 1.48/1.90 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.48/1.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP(
% 1.48/1.90 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.48/1.90 ,
% 1.48/1.90 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), X ) ), Y ),
% 1.48/1.90 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 1.48/1.90 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.48/1.90 'tc_nat' ), X ), hAPP( 'c_Suc', Y ) ), X, 'tc_nat' ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.48/1.90 'tc_nat' ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.48/1.90 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.48/1.90 Y ), X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.48/1.90 'c_HOL_Oord__class_Oless'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.48/1.90 Y ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.48/1.90 ), X ) ) ],
% 1.48/1.90 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.48/1.90 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP(
% 1.48/1.90 'c_HOL_Oabs__class_Oabs'( X ), Y ), X ) ],
% 1.48/1.90 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.48/1.90 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.48/1.90 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.48/1.90 'c_lessequals'( Z, Y, X ) ],
% 1.48/1.90 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.48/1.90 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.48/1.90 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.48/1.90 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.48/1.90 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 1.48/1.90 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.48/1.90 'class_Int_Onumber__ring'( X ) ), =( hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.48/1.90 , hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ),
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ) ), Y ) ),
% 1.48/1.90 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.48/1.90 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.48/1.90 'c_Power_Opower__class_Opower'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.48/1.90 'c_Int_OMin', X ) ), Y ), 'c_HOL_Oone__class_Oone'( X ) ), ~(
% 1.48/1.90 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.48/1.90 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Y
% 1.48/1.90 , 'tc_nat' ), 'tc_nat' ), 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'(
% 1.48/1.90 X ), X ), ~( 'c_lessequals'( hAPP( hAPP( 'c_Power_Opower__class_Opower'(
% 1.48/1.90 X ), Z ), 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ),
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.48/1.90 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.48/1.90 ), Y ), 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ),
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.48/1.90 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.48/1.90 , 'tc_nat' ), 'tc_nat' ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.48/1.90 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.48/1.90 , 'tc_nat' ), 'tc_nat' ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.48/1.90 X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.48/1.90 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), X ), ~(
% 1.48/1.90 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ),
% 1.48/1.90 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.48/1.90 , 'tc_nat' ), 'tc_nat' ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.48/1.90 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Y
% 1.48/1.90 , 'tc_nat' ), 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.48/1.90 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ),
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.48/1.90 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), X ), ~(
% 1.48/1.90 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.48/1.90 , 'tc_nat' ), 'tc_nat' ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'(
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ), 'tc_nat' ) ), ~(
% 1.48/1.90 'c_lessequals'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ),
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.48/1.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.48/1.90 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), X ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ),
% 1.48/1.90 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.48/1.90 , 'tc_nat' ), 'tc_nat' ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.48/1.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.48/1.90 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), X ), =( Y,
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'(
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.48/1.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), hAPP( hAPP(
% 1.48/1.90 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 1.48/1.90 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 1.48/1.90 , Y, X ) ) ],
% 1.48/1.90 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'( Y
% 1.48/1.90 , Z, X ), ~( 'c_SEQ_OLIMSEQ'( 'c_COMBS'( 'c_COMBB'(
% 1.48/1.90 'c_HOL_Ominus__class_Ominus'( X ), Y, X, 'tc_fun'( X, X ), 'tc_nat' ), T
% 1.48/1.90 , 'tc_nat', X, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.48/1.90 'c_SEQ_OLIMSEQ'( T, Z, X ) ) ],
% 1.48/1.90 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'( Y
% 1.48/1.90 , Z, X ), ~( 'c_SEQ_OLIMSEQ'( 'c_COMBS'( 'c_COMBB'(
% 1.48/1.90 'c_HOL_Ominus__class_Ominus'( X ), T, X, 'tc_fun'( X, X ), 'tc_nat' ), Y
% 1.48/1.90 , 'tc_nat', X, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.48/1.90 'c_SEQ_OLIMSEQ'( T, Z, X ) ) ],
% 1.48/1.90 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.48/1.90 'c_COMBS'( 'c_COMBB'( 'c_HOL_Oinverse__class_Odivide'( X ), Y, X,
% 1.48/1.90 'tc_fun'( X, X ), 'tc_nat' ), Z, 'tc_nat', X, X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ), X ), =( U,
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_SEQ_OLIMSEQ'( Z, U, X ) ), ~(
% 1.48/1.90 'c_SEQ_OLIMSEQ'( Y, T, X ) ) ],
% 1.48/1.90 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~( =( hAPP( Y,
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.48/1.90 ) ), 'c_Series_Osums'( Y, Z, X ), ~( 'c_Series_Osums'( 'c_COMBB'( Y,
% 1.48/1.90 'c_Suc', 'tc_nat', X, 'tc_nat' ), Z, X ) ) ],
% 1.48/1.90 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OPls', X, 'tc_Int_Oint' ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.48/1.90 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ), 'tc_nat' ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( 'c_Int_OPls', X, 'tc_Int_Oint' ) ) ],
% 1.48/1.90 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oplus__class_Oplus'( X ), 'c_Series_Osuminf'( Y, X ) ),
% 1.48/1.90 'c_Series_Osuminf'( Z, X ) ), 'c_Series_Osuminf'( 'c_COMBS'( 'c_COMBB'(
% 1.48/1.90 'c_HOL_Oplus__class_Oplus'( X ), Y, X, 'tc_fun'( X, X ), 'tc_nat' ), Z,
% 1.48/1.90 'tc_nat', X, X ), X ) ), ~( 'c_Series_Osummable'( Z, X ) ), ~(
% 1.48/1.90 'c_Series_Osummable'( Y, X ) ) ],
% 1.48/1.90 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), 'c_Series_Osuminf'( Y, X ) ), Z ),
% 1.48/1.90 'c_Series_Osuminf'( 'c_COMBC'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X
% 1.48/1.90 ), Y, X, 'tc_fun'( X, X ), 'tc_nat' ), Z, 'tc_nat', X, X ), X ) ), ~(
% 1.48/1.90 'c_Series_Osummable'( Y, X ) ) ],
% 1.48/1.90 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), 'c_Series_Osuminf'( Y, X ) ), Z ),
% 1.48/1.90 'c_Series_Osuminf'( 'c_COMBC'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X
% 1.48/1.90 ), Y, X, 'tc_fun'( X, X ), 'tc_nat' ), Z, 'tc_nat', X, X ), X ) ), ~(
% 1.48/1.90 'c_Series_Osummable'( Y, X ) ) ],
% 1.48/1.90 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_Series_Osums'(
% 1.48/1.90 Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( Y,
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), X ), ~( 'c_Series_Osums'(
% 1.48/1.90 'c_COMBB'( Y, 'c_Suc', 'tc_nat', X, 'tc_nat' ), Z, X ) ) ],
% 1.48/1.90 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.48/1.90 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ),
% 1.48/1.90 'c_Divides_Odiv__class_Omod'( Y, Z, 'tc_nat' ) ) ), T ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ), 'tc_nat' ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( T, X, 'tc_nat' ) ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 1.48/1.90 'tc_nat' ) ) ],
% 1.48/1.90 [ ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ), =( Y,
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( hBOOL( hAPP( Z,
% 1.48/1.90 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.48/1.90 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), T
% 1.48/1.90 ) ), X ), Y, 'tc_nat' ) ) ) ), hBOOL( hAPP( Z, X ) ) ],
% 1.48/1.90 [ ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ), =( Y,
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( hBOOL( hAPP( Z,
% 1.48/1.90 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.48/1.90 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), T
% 1.48/1.90 ) ), X ), Y, 'tc_nat' ) ) ) ), hBOOL( hAPP( Z, T ) ) ],
% 1.48/1.90 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ) ),
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ),
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ), X ), Y ), 'tc_nat' ) ),
% 1.48/1.90 'c_HOL_Oord__class_Oless'( Y, 'c_Int_OPls', 'tc_Int_Oint' ),
% 1.48/1.90 'c_HOL_Oord__class_Oless'( X, 'c_Int_OPls', 'tc_Int_Oint' ) ],
% 1.48/1.90 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), hAPP(
% 1.48/1.90 'c_Suc', hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'(
% 1.48/1.90 'tc_nat' ) ) ), Y ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ]
% 1.48/1.90 ,
% 1.48/1.90 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.48/1.90 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.48/1.90 Z, hAPP( 'c_Suc', T ), 'tc_nat' ), 'tc_nat', X ),
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z,
% 1.48/1.90 'tc_nat' ) ) ],
% 1.48/1.90 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.48/1.90 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.48/1.90 Z, hAPP( 'c_Suc', T ), 'tc_nat' ), 'tc_nat', X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oplus__class_Oplus'( X ), 'c_Finite__Set_Osetsum'( Y,
% 1.48/1.90 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, 'tc_nat' ), 'tc_nat'
% 1.48/1.90 , X ) ), hAPP( Y, T ) ) ), 'c_HOL_Oord__class_Oless'( T, Z, 'tc_nat' ) ]
% 1.48/1.90 ,
% 1.48/1.90 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.48/1.90 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.48/1.90 Z, T, 'tc_nat' ), 'tc_nat', X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.48/1.90 X ), hAPP( Y, Z ) ), 'c_Finite__Set_Osetsum'( Y,
% 1.48/1.90 'c_SetInterval_Oord__class_OatLeastLessThan'( hAPP( 'c_Suc', Z ), T,
% 1.48/1.90 'tc_nat' ), 'tc_nat', X ) ) ), ~( 'c_HOL_Oord__class_Oless'( Z, T,
% 1.48/1.90 'tc_nat' ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.48/1.90 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.48/1.90 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ) ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.48/1.90 ,
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.48/1.90 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.48/1.90 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.48/1.90 , ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.48/1.90 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.48/1.90 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.48/1.90 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 1.48/1.90 ,
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.48/1.90 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.48/1.90 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.48/1.90 , ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.48/1.90 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.48/1.90 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.48/1.90 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.48/1.90 , ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.48/1.90 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.48/1.90 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.48/1.90 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 1.48/1.90 , ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.48/1.90 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.48/1.90 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.48/1.90 , ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.48/1.90 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.48/1.90 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.48/1.90 , ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.48/1.90 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.48/1.90 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.48/1.90 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X )
% 1.48/1.90 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.48/1.90 , ~( 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.48/1.90 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.48/1.90 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X )
% 1.48/1.90 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) )
% 1.48/1.90 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.48/1.90 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.48/1.90 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X )
% 1.48/1.90 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.48/1.90 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.48/1.90 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X )
% 1.48/1.90 , ~( 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.48/1.90 Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.48/1.90 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.48/1.90 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.48/1.90 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 1.48/1.90 , ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.48/1.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ), =( Y,
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.48/1.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ), =( Z,
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.48/1.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.48/1.90 ,
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.48/1.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.48/1.90 ,
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.48/1.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ), X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.48/1.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ) ) ],
% 1.48/1.90 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.48/1.90 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.48/1.90 ), Y ), Z ), Y, X ), Z ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.48/1.90 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.48/1.90 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.48/1.90 ), Y ), Z ), Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.48/1.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), Z ), Y ), =( Z,
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.48/1.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y, hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), Z ) ), =( Z,
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ) ), =( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ), Y ), Z ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ), Y ) ) ],
% 1.48/1.90 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.48/1.90 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.48/1.90 ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z )
% 1.48/1.90 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.48/1.90 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.48/1.90 X ), X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.48/1.90 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.48/1.90 X ), X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.48/1.90 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.48/1.90 Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.48/1.90 X ), X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.48/1.90 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.48/1.90 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.48/1.90 X ), X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.48/1.90 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.48/1.90 , Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.48/1.90 ,
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.48/1.90 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.48/1.90 , Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.48/1.90 ,
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.48/1.90 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.48/1.90 , Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 1.48/1.90 ,
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ), 'c_lessequals'( hAPP(
% 1.48/1.90 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), ~( 'c_lessequals'(
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Z, T, X ) )
% 1.48/1.90 ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'( hAPP(
% 1.48/1.90 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), ~( 'c_lessequals'(
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Z, T, X ) )
% 1.48/1.90 ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'( hAPP(
% 1.48/1.90 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ), ~( 'c_lessequals'(
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.48/1.90 ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.48/1.90 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), ~( 'c_lessequals'( Y,
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Z, X ) ) ]
% 1.48/1.90 ,
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.48/1.90 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ), ~( 'c_lessequals'( Z,
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 1.48/1.90 ,
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.48/1.90 X ), Y ), Z ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 1.48/1.90 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.48/1.90 ,
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.48/1.90 X ), Y ), Z ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.48/1.90 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.48/1.90 ,
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.48/1.90 X ), Y ), Z ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.48/1.90 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.48/1.90 ,
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.48/1.90 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ), X ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.48/1.90 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.48/1.90 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~( 'c_lessequals'( Z,
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.48/1.90 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.48/1.90 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.48/1.90 X ), Y ), Z ), X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.48/1.90 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.48/1.90 X ), Z ), Y ), X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.48/1.90 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.48/1.90 X ), Y ), Z ), X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.48/1.90 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.48/1.90 X ), Z ), Y ), X ) ) ],
% 1.48/1.90 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.48/1.90 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.48/1.90 , Z ), Y ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) )
% 1.48/1.90 ],
% 1.48/1.90 [ ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.48/1.90 'tc_nat' ), X ), Y ), X, 'tc_nat' ) ) ],
% 1.48/1.90 [ ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.48/1.90 'tc_nat' ), X ), Y ), Y, 'tc_nat' ) ) ],
% 1.48/1.90 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.48/1.90 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.48/1.90 , Z ), T ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Y, T, 'tc_nat' ) )
% 1.48/1.90 , ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 1.48/1.90 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), hAPP( hAPP( Y, Z ), U ) )
% 1.48/1.90 , hAPP( hAPP( Y, Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.48/1.90 , T ), U ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( W, X, Y, V0, V1, V2
% 1.48/1.90 ) ) ],
% 1.48/1.90 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.48/1.90 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ) ) ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'(
% 1.48/1.90 X, T, 'tc_nat' ) ],
% 1.48/1.90 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP(
% 1.48/1.90 'c_Suc', Y ) ), hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.48/1.90 'tc_nat' ), X ), Y ) ) ) ],
% 1.48/1.90 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( 'c_Suc',
% 1.48/1.90 X ) ), Y ), hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.48/1.90 'tc_nat' ), X ), Y ) ) ) ],
% 1.48/1.90 [ ~( hBOOL( hAPP( X, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat'
% 1.48/1.90 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ), Y ) )
% 1.48/1.90 ) ), hBOOL( hAPP( X, Z ) ) ],
% 1.48/1.90 [ ~( hBOOL( hAPP( X, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat'
% 1.48/1.90 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ), Y ) )
% 1.48/1.90 ) ), hBOOL( hAPP( X, Z ) ) ],
% 1.48/1.90 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( 'c_Suc',
% 1.48/1.90 X ) ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP(
% 1.48/1.90 'c_Suc', Y ) ) ) ],
% 1.48/1.90 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ) ],
% 1.48/1.90 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ) ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Z ) ) ],
% 1.48/1.90 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ), ~(
% 1.48/1.90 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ),
% 1.48/1.90 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ), 'tc_nat' ) ],
% 1.48/1.90 [ 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ),
% 1.48/1.90 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ),
% 1.48/1.90 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ) ],
% 1.48/1.90 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ) ), ~(
% 1.48/1.90 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ),
% 1.48/1.90 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.48/1.90 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ) ),
% 1.48/1.90 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), ~(
% 1.48/1.90 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.48/1.90 [ 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ), ~(
% 1.48/1.90 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), ~(
% 1.48/1.90 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ), 'tc_nat' ) ) ],
% 1.48/1.90 [ 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ), ~(
% 1.48/1.90 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), ~(
% 1.48/1.90 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ) ) ],
% 1.48/1.90 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ),
% 1.48/1.90 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ),
% 1.48/1.90 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.48/1.90 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), ~(
% 1.48/1.90 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), ~(
% 1.48/1.90 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.48/1.90 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ),
% 1.48/1.90 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), ~(
% 1.48/1.90 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ), 'tc_nat' ) ) ],
% 1.48/1.90 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ),
% 1.48/1.90 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), ~(
% 1.48/1.90 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ) ) ],
% 1.48/1.90 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), ~(
% 1.48/1.90 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), ~(
% 1.48/1.90 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.48/1.90 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ),
% 1.48/1.90 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ),
% 1.48/1.90 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.48/1.90 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.48/1.90 'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 1.48/1.90 'tc_nat' ) ) ],
% 1.48/1.90 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.48/1.90 'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z,
% 1.48/1.90 'tc_nat' ) ) ],
% 1.48/1.90 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.48/1.90 'tc_nat' ), X ), Z ), Y, 'tc_nat' ) ) ],
% 1.48/1.90 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.48/1.90 'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 1.48/1.90 'tc_nat' ) ) ],
% 1.48/1.90 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.48/1.90 'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z,
% 1.48/1.90 'tc_nat' ) ) ],
% 1.48/1.90 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.48/1.90 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), X ), Y ) ],
% 1.48/1.90 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Y ), X ) ],
% 1.48/1.90 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ),
% 1.48/1.90 'c_Series_Osummable'( 'c_COMBC'( 'c_COMBB'(
% 1.48/1.90 'c_HOL_Oinverse__class_Odivide'( X ), Y, X, 'tc_fun'( X, X ), 'tc_nat' )
% 1.48/1.90 , Z, 'tc_nat', X, X ), X ), ~( 'c_Series_Osummable'( Y, X ) ) ],
% 1.48/1.90 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ),
% 1.48/1.90 'c_Series_Osummable'( 'c_COMBC'( 'c_COMBB'(
% 1.48/1.90 'c_HOL_Oinverse__class_Odivide'( X ), Y, X, 'tc_fun'( X, X ), 'tc_nat' )
% 1.48/1.90 , Z, 'tc_nat', X, X ), X ), ~( 'c_Series_Osummable'( Y, X ) ) ],
% 1.48/1.90 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.48/1.90 'c_COMBC'( 'c_COMBB'( 'c_HOL_Oinverse__class_Odivide'( X ), Y, X,
% 1.48/1.90 'tc_fun'( X, X ), 'tc_nat' ), Z, 'tc_nat', X, X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ), ~( 'c_SEQ_OLIMSEQ'(
% 1.48/1.90 Y, T, X ) ) ],
% 1.48/1.90 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Series_Osums'(
% 1.48/1.90 'c_COMBC'( 'c_COMBB'( 'c_HOL_Oinverse__class_Odivide'( X ), Y, X,
% 1.48/1.90 'tc_fun'( X, X ), 'tc_nat' ), Z, 'tc_nat', X, X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ), ~( 'c_Series_Osums'(
% 1.48/1.90 Y, T, X ) ) ],
% 1.48/1.90 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Series_Osums'(
% 1.48/1.90 'c_COMBC'( 'c_COMBB'( 'c_HOL_Oinverse__class_Odivide'( X ), Y, X,
% 1.48/1.90 'tc_fun'( X, X ), 'tc_nat' ), Z, 'tc_nat', X, X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ), ~( 'c_Series_Osums'(
% 1.48/1.90 Y, T, X ) ) ],
% 1.48/1.90 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.48/1.90 'c_COMBC'( 'c_COMBB'( 'c_HOL_Ominus__class_Ominus'( X ), Y, X, 'tc_fun'(
% 1.48/1.90 X, X ), 'tc_nat' ), Z, 'tc_nat', X, X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Ominus__class_Ominus'( X ), T ), Z ), X ), ~( 'c_SEQ_OLIMSEQ'( Y,
% 1.48/1.90 T, X ) ) ],
% 1.48/1.90 [ =( 'c_Divides_Odiv__class_Omod'( hAPP( 'c_Suc', hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), Z ) ), Y, 'tc_nat'
% 1.48/1.90 ), 'c_Divides_Odiv__class_Omod'( hAPP( 'c_Suc', Z ), Y, 'tc_nat' ) ) ]
% 1.48/1.90 ,
% 1.48/1.90 [ =( 'c_Divides_Odiv__class_Omod'( X, hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ), 'tc_nat' ), hAPP(
% 1.48/1.90 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ),
% 1.48/1.90 'c_Divides_Odiv__class_Omod'( 'c_Divides_Odiv__class_Odiv'( X, Y,
% 1.48/1.90 'tc_nat' ), Z, 'tc_nat' ) ) ), 'c_Divides_Odiv__class_Omod'( X, Y,
% 1.48/1.90 'tc_nat' ) ) ) ],
% 1.48/1.90 [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), Z, 'tc_nat' ), hAPP(
% 1.48/1.90 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ),
% 1.48/1.90 'c_Divides_Odiv__class_Odiv'( Y, Z, 'tc_nat' ) ) ),
% 1.48/1.90 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.48/1.90 'tc_nat' ), X ), 'c_Divides_Odiv__class_Omod'( Y, Z, 'tc_nat' ) ), Z,
% 1.48/1.90 'tc_nat' ) ) ) ],
% 1.48/1.90 [ 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ),
% 1.48/1.90 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), ~(
% 1.48/1.90 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), X ), 'tc_nat' ) ) ],
% 1.48/1.90 [ =( 'c_Divides_Odiv__class_Odiv'( X, hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ), 'tc_nat' ),
% 1.48/1.90 'c_Divides_Odiv__class_Odiv'( 'c_Divides_Odiv__class_Odiv'( X, Y,
% 1.48/1.90 'tc_nat' ), Z, 'tc_nat' ) ) ],
% 1.48/1.90 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 'tc_nat' ), ~(
% 1.48/1.90 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.48/1.90 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 'tc_nat' ), ~(
% 1.48/1.90 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ) ],
% 1.48/1.90 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ),
% 1.48/1.90 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ) ), ~(
% 1.48/1.90 'c_Groebner__Basis_Ogb__semiring'( U, W, X, V0, V1, V2 ) ) ],
% 1.48/1.90 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP(
% 1.48/1.90 'c_Suc', X ) ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' )
% 1.48/1.90 , hAPP( 'c_Suc', X ) ), Z ) ) ), =( Y, Z ) ],
% 1.48/1.90 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.48/1.90 'tc_nat' ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.48/1.90 ), Z ), Y ), 'tc_nat' ) ) ],
% 1.48/1.90 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.48/1.90 'tc_nat' ), X ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.48/1.90 ), Y ), Z ), 'tc_nat' ) ) ],
% 1.48/1.90 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.48/1.90 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), hAPP(
% 1.48/1.90 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ) ],
% 1.48/1.90 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.48/1.90 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ) ), Z ),
% 1.48/1.90 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.48/1.90 'tc_nat' ), X ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.48/1.90 ), Y ), Z ), 'tc_nat' ) ) ],
% 1.48/1.90 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ),
% 1.48/1.90 'c_Divides_Odiv__class_Omod'( Y, Z, 'tc_nat' ) ),
% 1.48/1.90 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.48/1.90 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.48/1.90 ), X ), Z ), 'tc_nat' ) ) ],
% 1.48/1.90 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.48/1.90 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastAtMost'( Z
% 1.48/1.90 , hAPP( 'c_Suc', T ), 'tc_nat' ), 'tc_nat', X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oplus__class_Oplus'( X ), hAPP( Y, Z ) ), 'c_Finite__Set_Osetsum'(
% 1.48/1.90 'c_COMBB'( Y, 'c_Suc', 'tc_nat', X, 'tc_nat' ),
% 1.48/1.90 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, 'tc_nat' ), 'tc_nat', X
% 1.48/1.90 ) ) ), 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', T ), Z, 'tc_nat' ) ]
% 1.48/1.90 ,
% 1.48/1.90 [ =( hAPP( hAPP( X, Y ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), Y ),
% 1.48/1.90 ~( 'c_Groebner__Basis_Ogb__semiring'( Z, T, X, U, W, V0 ) ) ],
% 1.48/1.90 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Oone__class_Oone'(
% 1.48/1.90 'tc_nat' ), 'tc_nat' ) ) ],
% 1.48/1.90 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.48/1.90 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastAtMost'(
% 1.48/1.90 hAPP( 'c_Suc', Z ), hAPP( 'c_Suc', T ), 'tc_nat' ), 'tc_nat', X ),
% 1.48/1.90 'c_Finite__Set_Osetsum'( 'c_COMBB'( Y, 'c_Suc', 'tc_nat', X, 'tc_nat' ),
% 1.48/1.90 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, 'tc_nat' ), 'tc_nat', X
% 1.48/1.90 ) ) ],
% 1.48/1.90 [ =( 'c_Set_Oimage'( 'c_COMBC'( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.48/1.90 X, 'tc_nat', 'tc_nat', 'tc_nat' ),
% 1.48/1.90 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, 'tc_nat' ), 'tc_nat',
% 1.48/1.90 'tc_nat' ), 'c_SetInterval_Oord__class_OatLeastAtMost'( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), X ), 'tc_nat' ) ) ],
% 1.48/1.90 [ ~( =( 'c_Divides_Odiv__class_Omod'( X,
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit0'(
% 1.48/1.90 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat' ), 'tc_nat' ),
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.48/1.90 'c_Int_OPls' ) ), 'tc_nat' ) ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'(
% 1.48/1.90 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.48/1.90 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ),
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.48/1.90 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ), 'tc_nat' ) ) ],
% 1.48/1.90 [ ~( =( 'c_Divides_Odiv__class_Omod'( X,
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit0'(
% 1.48/1.90 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat' ), 'tc_nat' ),
% 1.48/1.90 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ),
% 1.48/1.90 'c_Parity_Oeven__odd__class_Oeven'( 'c_Divides_Odiv__class_Odiv'( hAPP(
% 1.48/1.90 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ),
% 1.48/1.90 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ),
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.48/1.90 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ), 'tc_nat' ) ],
% 1.48/1.90 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'(
% 1.48/1.90 'c_COMBS'( 'c_COMBB'( 'c_HOL_Oinverse__class_Odivide'( X ), Y, X,
% 1.48/1.90 'tc_fun'( X, X ), X ), Z, X, X, X ), T, hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), U ), hAPP( Z, T ) ) ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), hAPP( Y, T ) ), W ) ) ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), hAPP( Z, T ) ), hAPP( Z, T ) ) ), X )
% 1.48/1.90 , =( hAPP( Z, T ), 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Deriv_Oderiv'(
% 1.48/1.90 Z, T, W, X ) ), ~( 'c_Deriv_Oderiv'( Y, T, U, X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.48/1.90 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~( 'c_lessequals'( Y,
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ), ~( 'c_lessequals'(
% 1.48/1.90 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.48/1.90 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~( 'c_lessequals'(
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ), ~( 'c_lessequals'(
% 1.48/1.90 Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.48/1.90 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~( 'c_lessequals'(
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.48/1.90 ), X ) ), ~( 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.48/1.90 X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ) ), ~(
% 1.48/1.90 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z, X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.48/1.90 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.48/1.90 ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ) ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.48/1.90 , 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z, X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.48/1.90 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.48/1.90 ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ) ),
% 1.48/1.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.48/1.90 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Z
% 1.48/1.90 , X ) ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( Z, X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ), X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.48/1.90 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.48/1.90 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ) ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.48/1.90 , 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z, X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.48/1.90 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.48/1.90 hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z, X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.48/1.90 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.48/1.90 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ) ),
% 1.48/1.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.48/1.90 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.48/1.90 , 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), Y, X ) ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.48/1.90 ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.48/1.90 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.48/1.90 ), Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ),
% 1.48/1.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.48/1.90 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.48/1.90 , T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ),
% 1.48/1.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.48/1.90 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ),
% 1.48/1.90 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.48/1.90 ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.48/1.90 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.48/1.90 , 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), Y, X ) ),
% 1.48/1.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.48/1.90 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ),
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.48/1.90 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ),
% 1.48/1.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.48/1.90 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), Z ),
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ),
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.48/1.90 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.48/1.90 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.48/1.90 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ),
% 1.48/1.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.48/1.90 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.48/1.90 ), X ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oinverse__class_Odivide'( X ), T ),
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.48/1.90 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.48/1.90 ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.48/1.90 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Z
% 1.48/1.90 , X ) ), T ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.48/1.90 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ),
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.48/1.90 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.48/1.90 , 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z, X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.48/1.90 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.48/1.90 , X ) ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.48/1.90 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.48/1.90 ), X ) ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.48/1.90 ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), Y, X ) ), ~(
% 1.48/1.90 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.48/1.90 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.48/1.90 , 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), Y, X ) ),
% 1.48/1.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.48/1.90 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.48/1.90 , X ) ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.48/1.90 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ),
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.48/1.90 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.48/1.90 ), Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.48/1.90 , Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.48/1.90 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.48/1.90 , T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.48/1.90 ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.48/1.90 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.48/1.90 , 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), Y, X ) ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.48/1.90 ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.48/1.90 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.48/1.90 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ),
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.48/1.90 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.48/1.90 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ),
% 1.48/1.90 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.48/1.90 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.48/1.90 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ),
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.48/1.90 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.48/1.90 , Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.48/1.90 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.48/1.90 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.48/1.90 ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.48/1.90 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.48/1.90 , Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.48/1.90 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.48/1.90 X ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.48/1.90 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.48/1.90 ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.48/1.90 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), Z ),
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.48/1.90 ), Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.48/1.90 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), ~(
% 1.48/1.90 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBC'(
% 1.48/1.90 'c_COMBB'( 'c_HOL_Oinverse__class_Odivide'( X ), Z, X, 'tc_fun'( X, X ),
% 1.48/1.90 Y ), T, Y, X, X ), U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.48/1.90 'c_Lim_OLIM'( Z, U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.48/1.90 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.48/1.90 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBC'(
% 1.48/1.90 'c_COMBB'( 'c_HOL_Ominus__class_Ominus'( X ), Z, X, 'tc_fun'( X, X ), Y )
% 1.48/1.90 , T, Y, X, X ), U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.48/1.90 'c_Lim_OLIM'( Z, U, T, Y, X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 1.48/1.90 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X ), ~( 'c_lessequals'(
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( Z, U, X ) )
% 1.48/1.90 , ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 1.48/1.90 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X ), ~( 'c_lessequals'(
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Z, U, X ) )
% 1.48/1.90 , ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.48/1.90 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.48/1.90 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.48/1.90 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X
% 1.48/1.90 ), 'c_Divides_Odiv__class_Odiv'( Z, T, X ) ), =( Y,
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.48/1.90 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.48/1.90 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.48/1.90 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X
% 1.48/1.90 ), 'c_Divides_Odiv__class_Odiv'( Y, T, X ) ), =( Z,
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.48/1.90 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.48/1.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.48/1.90 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.48/1.90 ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.48/1.90 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.48/1.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.48/1.90 , Z ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X )
% 1.48/1.90 ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.48/1.90 , Y ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.48/1.90 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.48/1.90 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.48/1.90 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.48/1.90 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.48/1.90 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.48/1.90 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.48/1.90 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.48/1.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.48/1.90 ), Y ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.48/1.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y, hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), Z ) ), =( Z,
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.48/1.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), Z ), Y ), =( Z,
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.48/1.90 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.48/1.90 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.48/1.90 ), Y ), Z ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.48/1.90 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.48/1.90 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.48/1.90 ), Y ), Z ), Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.48/1.90 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.48/1.90 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.48/1.90 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.48/1.90 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.48/1.90 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.48/1.90 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.48/1.90 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.48/1.90 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.48/1.90 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.48/1.90 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ) ) ), =( U,
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.48/1.90 ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), U ), hAPP(
% 1.48/1.90 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ) ), =( Z,
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ) ), =( U, 'c_HOL_Ozero__class_Ozero'( X )
% 1.48/1.90 ), =( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), U ), hAPP(
% 1.48/1.90 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.48/1.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.48/1.90 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.48/1.90 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.48/1.90 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.48/1.90 ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.48/1.90 ,
% 1.48/1.90 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.48/1.90 ), Y ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.48/1.90 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP(
% 1.48/1.90 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), 'c_HOL_Ozero__class_Ozero'( X
% 1.48/1.90 ) ) ],
% 1.48/1.90 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.48/1.90 ), Y ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.48/1.90 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.48/1.90 ), Y ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.48/1.90 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~(
% 1.48/1.90 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.48/1.90 =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.48/1.90 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.48/1.90 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 1.48/1.90 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ), ~(
% 1.48/1.90 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.48/1.90 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.48/1.90 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 1.48/1.90 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ), ~(
% 1.48/1.90 'c_lessequals'( Y, Z, X ) ), ~( 'c_lessequals'(
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ],
% 1.48/1.90 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 1.48/1.90 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( 'c_lessequals'(
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y,
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.48/1.90 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 1.48/1.90 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( 'c_lessequals'(
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z,
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.48/1.90 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.48/1.90 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.48/1.90 ,
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.48/1.90 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.48/1.90 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.48/1.90 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.48/1.90 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.48/1.90 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.48/1.90 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.48/1.90 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.48/1.90 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.48/1.90 ,
% 1.48/1.90 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_Power_Opower_Opower'(
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), X ), Y
% 1.48/1.90 ), Z ) ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP(
% 1.48/1.90 hAPP( 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.48/1.90 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), Z ) ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.48/1.90 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.48/1.90 , Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 1.48/1.90 ,
% 1.48/1.90 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.48/1.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ) ) ],
% 1.48/1.90 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.48/1.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.48/1.90 ,
% 1.48/1.90 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.48/1.90 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.48/1.90 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.48/1.90 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.48/1.90 'c_HOL_Oplus__class_Oplus'( X ), X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_Power_Opower_Opower'(
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), X ), Y
% 1.48/1.90 ), T ) ), hAPP( hAPP( 'c_Power_Opower_Opower'(
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), X ), Z
% 1.48/1.90 ), T ) ) ) ],
% 1.48/1.90 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.48/1.90 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.48/1.90 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ) ) ],
% 1.48/1.90 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.48/1.90 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ), ~( 'c_lessequals'(
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.48/1.90 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X
% 1.48/1.90 ) ) ), =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z ) ],
% 1.48/1.90 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X
% 1.48/1.90 ) ) ), =( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ],
% 1.48/1.90 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.48/1.90 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.48/1.90 'c_HOL_Oplus__class_Oplus'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.48/1.90 Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.48/1.90 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.48/1.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.48/1.90 ,
% 1.48/1.90 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.48/1.90 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.48/1.90 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ),
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.48/1.90 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.48/1.90 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ),
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.48/1.90 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.48/1.90 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.48/1.90 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'(
% 1.48/1.90 'c_COMBB'( Y, Z, X, X, X ), T, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.48/1.90 X ), U ), W ), X ), ~( 'c_Deriv_Oderiv'( Z, T, W, X ) ), ~(
% 1.48/1.90 'c_Deriv_Oderiv'( Y, hAPP( Z, T ), U, X ) ) ],
% 1.48/1.90 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'(
% 1.48/1.90 'c_COMBB'( Y, Z, X, X, X ), T, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.48/1.90 X ), U ), W ), X ), ~( 'c_Deriv_Oderiv'( Y, hAPP( Z, T ), U, X ) ), ~(
% 1.48/1.90 'c_Deriv_Oderiv'( Z, T, W, X ) ) ],
% 1.48/1.90 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 1.48/1.90 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBB'( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), Z ), T, X, X, Y ), U, hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), Z ), W ), Y, X ), ~( 'c_Lim_OLIM'( T,
% 1.48/1.90 U, W, Y, X ) ) ],
% 1.48/1.90 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'(
% 1.48/1.90 'c_COMBB'( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z, X, X, X ), T
% 1.48/1.90 , hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), U ), X ), ~(
% 1.48/1.90 'c_Deriv_Oderiv'( Z, T, U, X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.48/1.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.48/1.90 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.48/1.90 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( 'c_HOL_Ozero__class_Ozero'(
% 1.48/1.90 X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.48/1.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.48/1.90 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.48/1.90 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oinverse__class_Odivide'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X
% 1.48/1.90 ) ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.48/1.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.48/1.90 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.48/1.90 X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), =(
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.48/1.90 ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.48/1.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.48/1.90 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.48/1.90 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oinverse__class_Odivide'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X
% 1.48/1.90 ) ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.48/1.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.48/1.90 'class_Int_Onumber'( X ) ), ~( =( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oinverse__class_Odivide'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.48/1.90 ) ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =(
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.48/1.90 ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.48/1.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.48/1.90 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.48/1.90 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.48/1.90 X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.48/1.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Y ), 'c_HOL_Oone__class_Oone'(
% 1.48/1.90 X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Y ), 'c_HOL_Oone__class_Oone'(
% 1.48/1.90 X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ) ), =( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Y ), 'c_HOL_Oone__class_Oone'(
% 1.48/1.90 X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), 'c_HOL_Oone__class_Oone'(
% 1.48/1.90 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, Z ) ],
% 1.48/1.90 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.48/1.90 'c_Divides_Odiv__class_Odiv'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 1.48/1.90 , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ), X ) ]
% 1.48/1.90 ,
% 1.48/1.90 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.48/1.90 'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.48/1.90 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.48/1.90 X ), X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.48/1.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.48/1.90 'c_HOL_Oone__class_Oone'( X ), X ) ],
% 1.48/1.90 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.48/1.90 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.48/1.90 , Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), T, X )
% 1.48/1.90 , 'c_Divides_Odiv__class_Omod'( Y, T, X ) ) ],
% 1.48/1.90 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.48/1.90 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.48/1.90 , Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), Z, X )
% 1.48/1.90 , 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 1.48/1.90 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.48/1.90 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Ominus__class_Ominus'( X ), Y ), T ) ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Ominus__class_Ominus'( X ), Z ), U ) ) ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Ominus__class_Ominus'( X ), Y ), T ) ), U ) ) ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), T ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Ominus__class_Ominus'( X ), Z ), U ) ) ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.48/1.90 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Ominus__class_Ominus'( X ), T ), Y ) ), Z ) ), U ) ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.48/1.90 X ), T ), Z ) ), U ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.48/1.90 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.48/1.90 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.48/1.90 X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), U ) ), Z ) ), T
% 1.48/1.90 ) ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.48/1.90 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.48/1.90 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ) ) ), =( hAPP(
% 1.48/1.90 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Ominus__class_Ominus'( X ), Y ), U ) ), Z ) ), T ), W ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.48/1.90 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.48/1.90 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ) ) ), =( T, hAPP(
% 1.48/1.90 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Ominus__class_Ominus'( X ), U ), Y ) ), Z ) ), W ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( 'class_Int_Onumber'( X )
% 1.48/1.90 ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.48/1.90 , X ) ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ) ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( 'class_Int_Onumber'( X )
% 1.48/1.90 ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ),
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( T, X ) ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), Z ),
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ) ],
% 1.48/1.90 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ), Y ), Z ), X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oplus__class_Oplus'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.48/1.90 ) ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ) ],
% 1.48/1.90 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oplus__class_Oplus'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.48/1.90 ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T ) ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oplus__class_Oplus'( X ), 'c_Int_Onumber__class_Onumber__of'( hAPP(
% 1.48/1.90 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ), Y ), Z ), X ) ), T ) )
% 1.48/1.90 ],
% 1.48/1.90 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oplus__class_Oplus'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.48/1.90 ) ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ),
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ), Y ), Z ), X ) ) ],
% 1.48/1.90 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'(
% 1.48/1.90 'c_COMBS'( 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'( X ), Y, X, 'tc_fun'( X
% 1.48/1.90 , X ), X ), 'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'( X ), Z, X, X, X )
% 1.48/1.90 , X, X, X ), T, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), U ), hAPP(
% 1.48/1.90 'c_HOL_Ouminus__class_Ouminus'( X ), W ) ), X ), ~( 'c_Deriv_Oderiv'( Z,
% 1.48/1.90 T, W, X ) ), ~( 'c_Deriv_Oderiv'( Y, T, U, X ) ) ],
% 1.48/1.90 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.48/1.90 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBS'(
% 1.48/1.90 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'( X ), Z, X, 'tc_fun'( X, X ), Y ),
% 1.48/1.90 'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'( X ), T, X, X, Y ), Y, X, X ),
% 1.48/1.90 U, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), W ), hAPP(
% 1.48/1.90 'c_HOL_Ouminus__class_Ouminus'( X ), V0 ) ), Y, X ), ~( 'c_Lim_OLIM'( T,
% 1.48/1.90 U, V0, Y, X ) ), ~( 'c_Lim_OLIM'( Z, U, W, Y, X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.48/1.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Z, X ) ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.48/1.90 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP(
% 1.48/1.90 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.48/1.90 X ), 'c_HOL_Oone__class_Oone'( X ) ) ), Y ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.48/1.90 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.48/1.90 , Y ), 'c_HOL_Oone__class_Oone'( X ) ), X ) ],
% 1.48/1.90 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_Lim_OLIM'(
% 1.48/1.90 'c_COMBC'( 'c_HOL_Otimes__class_Otimes'( X ), Y, X, X, X ), Z, hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ), X, X ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_lessequals'( Y,
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.48/1.90 'c_Power_Opower__class_Opower'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.48/1.90 X ), X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.48/1.90 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.48/1.90 ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.48/1.90 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ), hAPP( hAPP(
% 1.48/1.90 'c_Power_Opower__class_Opower'( X ), T ), Z ), X ), ~( 'c_lessequals'(
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.48/1.90 ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.48/1.90 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 1.48/1.90 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.48/1.90 hAPP( 'c_Suc', Y ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.48/1.90 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.48/1.90 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.48/1.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.48/1.90 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.48/1.90 ,
% 1.48/1.90 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.48/1.90 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( Z, T, U, Y, X ),
% 1.48/1.90 ~( 'c_Lim_OLIM'( 'c_COMBC'( 'c_COMBB'( 'c_HOL_Ominus__class_Ominus'( X )
% 1.48/1.90 , Z, X, 'tc_fun'( X, X ), Y ), U, Y, X, X ), T,
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.48/1.90 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 1.48/1.90 'class_RealVector_Oreal__normed__vector'( Y ) ), 'c_Lim_OLIM'( 'c_COMBB'(
% 1.48/1.90 Z, 'c_COMBC'( 'c_HOL_Oplus__class_Oplus'( Y ), T, Y, Y, Y ), Y, X, Y ),
% 1.48/1.90 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( Y ), U ), T ), W, Y, X ), ~(
% 1.48/1.90 'c_Lim_OLIM'( Z, U, W, Y, X ) ) ],
% 1.48/1.90 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.48/1.90 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 'c_Finite__Set_Osetsum'(
% 1.48/1.90 'c_COMBB'( 'c_HOL_Oabs__class_Oabs'( X ), Y, X, X, Z ), T, Z, X ), X ) ]
% 1.48/1.90 ,
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.48/1.90 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.48/1.90 ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Int_OPls', 'tc_Int_Oint' ) )
% 1.48/1.90 ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.48/1.90 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.48/1.90 'c_Int_OPls', 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.48/1.90 ), X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.48/1.90 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.48/1.90 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_Int_OPls', Y, 'tc_Int_Oint' ) )
% 1.48/1.90 ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.48/1.90 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_OPls'
% 1.48/1.90 , Y, 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.48/1.90 ), X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.48/1.90 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.48/1.90 ), Y ), Z ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), T ),
% 1.48/1.90 X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X )
% 1.48/1.90 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.48/1.90 ), ~( 'c_HOL_Oord__class_Oless'( T, Z, 'tc_nat' ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.48/1.90 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.48/1.90 ), Y ), hAPP( 'c_Suc', Z ) ), 'c_HOL_Oone__class_Oone'( X ), X ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.48/1.90 ,
% 1.48/1.90 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'(
% 1.48/1.90 'c_COMBS'( 'c_COMBB'( 'c_HOL_Oinverse__class_Odivide'( X ), Y, X,
% 1.48/1.90 'tc_fun'( X, X ), X ), Z, X, X, X ), T, hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), U ), hAPP( Z, T ) ) ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), W ), hAPP( Y, T ) ) ) ), hAPP( hAPP(
% 1.48/1.90 'c_Power_Opower__class_Opower'( X ), hAPP( Z, T ) ), hAPP( 'c_Suc', hAPP(
% 1.48/1.90 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ), X ), =( hAPP( Z
% 1.48/1.90 , T ), 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Deriv_Oderiv'( Z, T, W, X
% 1.48/1.90 ) ), ~( 'c_Deriv_Oderiv'( Y, T, U, X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.48/1.90 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y
% 1.48/1.90 ), X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.48/1.90 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ),
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.48/1.90 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ), =( Z,
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.48/1.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.48/1.90 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ), =( Z,
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.48/1.90 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.48/1.90 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), =( Y,
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_lessequals'( hAPP( hAPP(
% 1.48/1.90 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y
% 1.48/1.90 ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( hAPP( hAPP(
% 1.48/1.90 'c_Power_Opower__class_Opower'( X ), Y ), Z ), hAPP( hAPP(
% 1.48/1.90 'c_Power_Opower__class_Opower'( X ), T ), Z ) ) ), =( Y, T ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 1.48/1.90 'tc_nat' ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 1.48/1.90 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.48/1.90 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( hAPP( 'c_Suc', hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.48/1.90 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ), 'tc_nat' ) ) ],
% 1.48/1.90 [ =( hAPP( hAPP( X, Y ), hAPP( 'c_Suc', hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.48/1.90 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.48/1.90 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ), hAPP( hAPP( T, Y ), hAPP( hAPP(
% 1.48/1.90 T, hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, Y ), Z ) ) ) ), ~(
% 1.48/1.90 'c_Groebner__Basis_Ogb__semiring'( U, T, X, W, V0, V1 ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_Finite__Set_Osetsum'(
% 1.48/1.90 hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.48/1.90 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.48/1.90 'tc_nat' ), Z, 'tc_nat' ), 'tc_nat', X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.48/1.90 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), 'c_HOL_Oone__class_Oone'(
% 1.48/1.90 X ) ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ),
% 1.48/1.90 'c_HOL_Oone__class_Oone'( X ) ) ) ), =( Y, 'c_HOL_Oone__class_Oone'( X )
% 1.48/1.90 ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), ~(
% 1.48/1.90 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.48/1.90 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ) ), hAPP(
% 1.48/1.90 hAPP( 'c_Power_Opower__class_Opower'( X ), T ), hAPP( 'c_Suc', Z ) ) ),
% 1.48/1.90 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Ominus__class_Ominus'( X ), Y ), T ) ), 'c_Finite__Set_Osetsum'(
% 1.48/1.90 'c_COMBS'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.48/1.90 'c_Power_Opower__class_Opower'( X ), Y ), X, 'tc_fun'( X, X ), 'tc_nat' )
% 1.48/1.90 , 'c_COMBB'( hAPP( 'c_Power_Opower__class_Opower'( X ), T ), hAPP(
% 1.48/1.90 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), 'tc_nat', X, 'tc_nat' ),
% 1.48/1.90 'tc_nat', X, X ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( 'c_Suc', Z ), 'tc_nat' ),
% 1.48/1.90 'tc_nat', X ) ) ) ],
% 1.48/1.90 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 1.48/1.90 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBB'( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), Z ), T, X, X, Y ), U,
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_Lim_OLIM'( T, U,
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.48/1.90 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 1.48/1.90 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBB'( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), Z ), T, X, X, Y ), U,
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_Lim_OLIM'( T, U,
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.48/1.90 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.48/1.90 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBB'( Z,
% 1.48/1.90 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), X, Y, X ),
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), hAPP( Z, T ), X, Y ), ~( 'c_Lim_OLIM'( Z
% 1.48/1.90 , T, hAPP( Z, T ), X, Y ) ) ],
% 1.48/1.90 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.48/1.90 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( Z, T, hAPP( Z, T
% 1.48/1.90 ), X, Y ), ~( 'c_Lim_OLIM'( 'c_COMBB'( Z, hAPP(
% 1.48/1.90 'c_HOL_Oplus__class_Oplus'( X ), T ), X, Y, X ),
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ), hAPP( Z, T ), X, Y ) ) ],
% 1.48/1.90 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 1.48/1.90 'class_RealVector_Oreal__normed__vector'( Y ) ), 'c_Lim_OLIM'( 'c_COMBB'(
% 1.48/1.90 Z, hAPP( 'c_HOL_Oplus__class_Oplus'( Y ), T ), Y, X, Y ),
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( Y ), U, Y, X ), ~( 'c_Lim_OLIM'( Z, T, U, Y,
% 1.48/1.90 X ) ) ],
% 1.48/1.90 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 1.48/1.90 'class_RealVector_Oreal__normed__vector'( Y ) ), 'c_Lim_OLIM'( Z, T, U, Y
% 1.48/1.90 , X ), ~( 'c_Lim_OLIM'( 'c_COMBB'( Z, hAPP( 'c_HOL_Oplus__class_Oplus'( Y
% 1.48/1.90 ), T ), Y, X, Y ), 'c_HOL_Ozero__class_Ozero'( Y ), U, Y, X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ) ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.48/1.90 X ), Y ), U ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.48/1.90 ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ), =( U,
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.48/1.90 ) ],
% 1.48/1.90 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.48/1.90 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.48/1.90 , Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), Z, X )
% 1.48/1.90 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ),
% 1.48/1.90 'c_Divides_Odiv__class_Odiv'( Y, Z, X ) ) ), =( Z,
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.48/1.90 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.48/1.90 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.48/1.90 , Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), T, X )
% 1.48/1.90 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ),
% 1.48/1.90 'c_Divides_Odiv__class_Odiv'( Y, T, X ) ) ), =( T,
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.48/1.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ), T ) ), =( T,
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.48/1.90 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ), Z ) ), =( Z,
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.48/1.90 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.48/1.90 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.48/1.90 X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.48/1.90 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.48/1.90 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), X
% 1.48/1.90 ) ) ],
% 1.48/1.90 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.48/1.91 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( X ) ) ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( X ) ) ), 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.48/1.91 ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.48/1.91 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.48/1.91 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.48/1.91 X ), X ) ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.48/1.91 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.48/1.91 X ), Y ), Y ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z )
% 1.48/1.91 ), X ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.48/1.91 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.48/1.91 X ), Z ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y )
% 1.48/1.91 ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.48/1.91 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.48/1.91 X ), Y ), Y ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z )
% 1.48/1.91 ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.48/1.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.48/1.91 X ), Y ), Y ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z )
% 1.48/1.91 ), X ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.48/1.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.48/1.91 X ), Y ), Y ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z )
% 1.48/1.91 ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.48/1.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.48/1.91 'class_Int_Onumber'( X ) ), ~( =( hAPP( hAPP(
% 1.48/1.91 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), =( Y, hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( T
% 1.48/1.91 , X ) ), Z ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.48/1.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.48/1.91 'class_Int_Onumber'( X ) ), =( hAPP( hAPP(
% 1.48/1.91 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.48/1.91 X ) ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.48/1.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.48/1.91 'class_Int_Onumber'( X ) ), =( hAPP( hAPP(
% 1.48/1.91 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.48/1.91 , X ) ), Z ) ), Z ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), =( Z,
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.48/1.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.48/1.91 'class_Int_Onumber'( X ) ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.48/1.91 X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y ), =(
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.48/1.91 ) ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.48/1.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.48/1.91 'class_Int_Onumber'( X ) ), =( Y, hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =(
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.48/1.91 ) ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.48/1.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.48/1.91 'class_Int_Onumber'( X ) ), =( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.48/1.91 , hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.48/1.91 , X ) ), Z ) ), Z ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.48/1.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.48/1.91 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.48/1.91 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( hAPP( hAPP(
% 1.48/1.91 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.48/1.91 , X ) ), Z ) ), Z ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.48/1.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.48/1.91 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.48/1.91 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.48/1.91 , X ) ), Z ) ), Z ) ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.48/1.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.48/1.91 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.48/1.91 X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ), =(
% 1.48/1.91 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z ), =( T,
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.48/1.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.48/1.91 'class_Int_Onumber'( X ) ), =( Y, hAPP( hAPP(
% 1.48/1.91 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =(
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.48/1.91 ) ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.48/1.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.48/1.91 'class_Int_Onumber'( X ) ), =( hAPP( hAPP(
% 1.48/1.91 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y ), =(
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.48/1.91 ) ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.48/1.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.48/1.91 'class_Int_Onumber'( X ) ), =( 'c_HOL_Ozero__class_Ozero'( X ), hAPP(
% 1.48/1.91 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.48/1.91 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), Y, X ), ~(
% 1.48/1.91 'c_lessequals'( Z, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.48/1.91 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.48/1.91 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.48/1.91 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), Z, X ), ~(
% 1.48/1.91 'c_lessequals'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.48/1.91 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.48/1.91 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.48/1.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.48/1.91 'c_HOL_Oone__class_Oone'( X ) ), X ) ],
% 1.48/1.91 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.48/1.91 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.48/1.91 , Y ), Z ), Z, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.48/1.91 'c_Divides_Odiv__class_Odiv'( Y, Z, X ) ), 'c_HOL_Oone__class_Oone'( X )
% 1.48/1.91 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.48/1.91 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.48/1.91 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.48/1.91 , Y ), Z ), Y, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.48/1.91 'c_Divides_Odiv__class_Odiv'( Z, Y, X ) ), 'c_HOL_Oone__class_Oone'( X )
% 1.48/1.91 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.48/1.91 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.48/1.91 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.48/1.91 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.48/1.91 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 1.48/1.91 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBC'(
% 1.48/1.91 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), Z, X, 'tc_fun'( X, X ), Y )
% 1.48/1.91 , T, Y, X, X ), U, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), W ), T
% 1.48/1.91 ), Y, X ), ~( 'c_Lim_OLIM'( Z, U, W, Y, X ) ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.48/1.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.48/1.91 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.48/1.91 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ) ),
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.48/1.91 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 1.48/1.91 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBS'(
% 1.48/1.91 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), Z, X, 'tc_fun'( X, X ), Y )
% 1.48/1.91 , T, Y, X, X ), U, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), W ), V0
% 1.48/1.91 ), Y, X ), ~( 'c_Lim_OLIM'( T, U, V0, Y, X ) ), ~( 'c_Lim_OLIM'( Z, U, W
% 1.48/1.91 , Y, X ) ) ],
% 1.48/1.91 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.48/1.91 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBS'(
% 1.48/1.91 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'( X ), Z, X, 'tc_fun'( X, X ), Y ),
% 1.48/1.91 T, Y, X, X ), U, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), W ), V0 ),
% 1.48/1.91 Y, X ), ~( 'c_Lim_OLIM'( T, U, V0, Y, X ) ), ~( 'c_Lim_OLIM'( Z, U, W, Y
% 1.48/1.91 , X ) ) ],
% 1.48/1.91 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'(
% 1.48/1.91 'c_COMBS'( 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'( X ), Y, X, 'tc_fun'( X
% 1.48/1.91 , X ), X ), Z, X, X, X ), T, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.48/1.91 , U ), W ), X ), ~( 'c_Deriv_Oderiv'( Z, T, W, X ) ), ~( 'c_Deriv_Oderiv'(
% 1.48/1.91 Y, T, U, X ) ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'(
% 1.48/1.91 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.48/1.91 , X ) ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.48/1.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.48/1.91 'tc_nat' ) ), X ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y
% 1.48/1.91 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.48/1.91 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.48/1.91 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_Power_Opower_Opower'(
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), X ), Y
% 1.48/1.91 ), Z ) ), hAPP( hAPP( 'c_Power_Opower_Opower'(
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), X ), Y
% 1.48/1.91 ), T ) ) ) ],
% 1.48/1.91 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.48/1.91 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.48/1.91 'c_HOL_Oplus__class_Oplus'( X ), X ), hAPP( hAPP( 'c_Power_Opower_Opower'(
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), X ), Y
% 1.48/1.91 ), Z ) ), T ) ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), =( hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.48/1.91 X ), Y ) ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.48/1.91 hAPP( 'c_Power_Opower__class_Opower'( X ), hAPP(
% 1.48/1.91 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ), Z
% 1.48/1.91 ) ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ]
% 1.48/1.91 ,
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.48/1.91 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.48/1.91 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP(
% 1.48/1.91 hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), X ), ~(
% 1.48/1.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.48/1.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), X ), ~(
% 1.48/1.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.48/1.91 [ ~( 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'( X )
% 1.48/1.91 , 'c_Power_Opower_Opower'( 'c_HOL_Oone__class_Oone'( X ),
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), X ) ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.48/1.91 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.48/1.91 'c_Int_OPls' ) ), X ) ), X ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_lessequals'( Y,
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ),
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.48/1.91 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.48/1.91 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.48/1.91 ), Y ), 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ),
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.48/1.91 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.48/1.91 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), 'c_HOL_Oone__class_Oone'(
% 1.48/1.91 'tc_nat' ) ), Y ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.48/1.91 'c_HOL_Oinverse__class_Odivide'( X ), 'c_Finite__Set_Osetsum'( Y, Z, T, X
% 1.48/1.91 ) ), U ), 'c_Finite__Set_Osetsum'( 'c_COMBC'( 'c_COMBB'(
% 1.48/1.91 'c_HOL_Oinverse__class_Odivide'( X ), Y, X, 'tc_fun'( X, X ), T ), U, T,
% 1.48/1.91 X, X ), Z, T, X ) ) ],
% 1.48/1.91 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( hAPP( hAPP(
% 1.48/1.91 'c_HOL_Oinverse__class_Odivide'( X ), 'c_Finite__Set_Osetsum'( Y, Z, T, X
% 1.48/1.91 ) ), U ), 'c_Finite__Set_Osetsum'( 'c_COMBC'( 'c_COMBB'(
% 1.48/1.91 'c_HOL_Oinverse__class_Odivide'( X ), Y, X, 'tc_fun'( X, X ), T ), U, T,
% 1.48/1.91 X, X ), Z, T, X ) ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.48/1.91 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.48/1.91 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ) )
% 1.48/1.91 , Y ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.48/1.91 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.48/1.91 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ) )
% 1.48/1.91 , Y ) ],
% 1.48/1.91 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.48/1.91 'c_Finite__Set_Osetsum'( 'c_COMBS'( 'c_COMBB'(
% 1.48/1.91 'c_HOL_Ominus__class_Ominus'( X ), Y, X, 'tc_fun'( X, X ), Z ), T, Z, X,
% 1.48/1.91 X ), U, Z, X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ),
% 1.48/1.91 'c_Finite__Set_Osetsum'( Y, U, Z, X ) ), 'c_Finite__Set_Osetsum'( T, U, Z
% 1.48/1.91 , X ) ) ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.48/1.91 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.48/1.91 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.48/1.91 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.48/1.91 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ) ],
% 1.48/1.91 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.48/1.91 'c_COMBS'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), Y, X, 'tc_fun'(
% 1.48/1.91 X, X ), 'tc_nat' ), Z, 'tc_nat', X, X ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X ), ~( 'c_SEQ_OLIMSEQ'( Z,
% 1.48/1.91 U, X ) ), ~( 'c_SEQ_OLIMSEQ'( Y, T, X ) ) ],
% 1.48/1.91 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_Series_Osums'(
% 1.48/1.91 'c_COMBS'( 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'( X ), Y, X, 'tc_fun'( X
% 1.48/1.91 , X ), 'tc_nat' ), Z, 'tc_nat', X, X ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~( 'c_Series_Osums'( Z, U
% 1.48/1.91 , X ) ), ~( 'c_Series_Osums'( Y, T, X ) ) ],
% 1.48/1.91 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 1.48/1.91 'c_Series_Osummable'( 'c_COMBS'( 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'( X
% 1.48/1.91 ), Y, X, 'tc_fun'( X, X ), 'tc_nat' ), Z, 'tc_nat', X, X ), X ), ~(
% 1.48/1.91 'c_Series_Osummable'( Z, X ) ), ~( 'c_Series_Osummable'( Y, X ) ) ],
% 1.48/1.91 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.48/1.91 'c_COMBS'( 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'( X ), Y, X, 'tc_fun'( X
% 1.48/1.91 , X ), 'tc_nat' ), Z, 'tc_nat', X, X ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~( 'c_SEQ_OLIMSEQ'( Z, U
% 1.48/1.91 , X ) ), ~( 'c_SEQ_OLIMSEQ'( Y, T, X ) ) ],
% 1.48/1.91 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_Series_Osums'(
% 1.48/1.91 'c_COMBC'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), Y, X, 'tc_fun'(
% 1.48/1.91 X, X ), 'tc_nat' ), Z, 'tc_nat', X, X ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ), ~( 'c_Series_Osums'( Y
% 1.48/1.91 , T, X ) ) ],
% 1.48/1.91 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_Series_Osums'(
% 1.48/1.91 'c_COMBC'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), Y, X, 'tc_fun'(
% 1.48/1.91 X, X ), 'tc_nat' ), Z, 'tc_nat', X, X ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ), ~( 'c_Series_Osums'( Y
% 1.48/1.91 , T, X ) ) ],
% 1.48/1.91 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 1.48/1.91 'c_Series_Osummable'( 'c_COMBC'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'(
% 1.48/1.91 X ), Y, X, 'tc_fun'( X, X ), 'tc_nat' ), Z, 'tc_nat', X, X ), X ), ~(
% 1.48/1.91 'c_Series_Osummable'( Y, X ) ) ],
% 1.48/1.91 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 1.48/1.91 'c_Series_Osummable'( 'c_COMBC'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'(
% 1.48/1.91 X ), Y, X, 'tc_fun'( X, X ), 'tc_nat' ), Z, 'tc_nat', X, X ), X ), ~(
% 1.48/1.91 'c_Series_Osummable'( Y, X ) ) ],
% 1.48/1.91 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.48/1.91 'c_COMBC'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), Y, X, 'tc_fun'(
% 1.48/1.91 X, X ), 'tc_nat' ), Z, 'tc_nat', X, X ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ), ~( 'c_SEQ_OLIMSEQ'( Y,
% 1.48/1.91 T, X ) ) ],
% 1.48/1.91 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.48/1.91 'c_COMBC'( 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'( X ), Y, X, 'tc_fun'( X
% 1.48/1.91 , X ), 'tc_nat' ), Z, 'tc_nat', X, X ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~( 'c_SEQ_OLIMSEQ'( Y, T
% 1.48/1.91 , X ) ) ],
% 1.48/1.91 [ =( hAPP( 'c_Suc', hAPP( 'c_Suc', hAPP( hAPP(
% 1.48/1.91 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.48/1.91 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ), 'c_Int_Onumber__class_Onumber__of'(
% 1.48/1.91 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ), hAPP(
% 1.48/1.91 hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.48/1.91 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 1.48/1.91 'tc_nat' ) ) ],
% 1.48/1.91 [ =( hAPP( 'c_Suc', hAPP( 'c_Suc', hAPP( hAPP(
% 1.48/1.91 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit0'(
% 1.48/1.91 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat' ) ), X ) ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.48/1.91 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit0'(
% 1.48/1.91 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat' ) ), X ) ), =( X,
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.48/1.91 [ =( 'c_Divides_Odiv__class_Omod'( X, 'c_Int_Onumber__class_Onumber__of'(
% 1.48/1.91 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ),
% 1.48/1.91 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Divides_Odiv__class_Omod'( X,
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.48/1.91 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ), 'tc_nat' ) ) ],
% 1.48/1.91 [ ~( =( 'c_Divides_Odiv__class_Omod'( X,
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.48/1.91 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ), 'c_HOL_Oone__class_Oone'(
% 1.48/1.91 'tc_nat' ) ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.48/1.91 'tc_nat' ), 'c_Divides_Odiv__class_Omod'( X,
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.48/1.91 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ), 'tc_nat' ) ],
% 1.48/1.91 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.48/1.91 'c_Divides_Odiv__class_Odiv'( X, 'c_Int_Onumber__class_Onumber__of'(
% 1.48/1.91 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ),
% 1.48/1.91 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 1.48/1.91 'tc_nat' ), X, 'tc_nat' ) ) ],
% 1.48/1.91 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ) ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ) ), ~(
% 1.48/1.91 'c_HOL_Oord__class_Oless'( Y, 'c_Int_OPls', 'tc_Int_Oint' ) ),
% 1.48/1.91 'c_HOL_Oord__class_Oless'( X, 'c_Int_OPls', 'tc_Int_Oint' ) ],
% 1.48/1.91 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ) ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), ~(
% 1.48/1.91 'c_HOL_Oord__class_Oless'( X, 'c_Int_OPls', 'tc_Int_Oint' ) ) ],
% 1.48/1.91 [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP(
% 1.48/1.91 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'(
% 1.48/1.91 'tc_nat' ) ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.48/1.91 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ),
% 1.48/1.91 'c_Divides_Odiv__class_Odiv'( X, 'c_Int_Onumber__class_Onumber__of'(
% 1.48/1.91 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ) )
% 1.48/1.91 , ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.48/1.91 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 1.48/1.91 'class_Power_Opower'( X ) ), ~( 'class_RealVector_Ometric__space'( Y ) )
% 1.48/1.91 , 'c_Lim_OLIM'( 'c_COMBC'( 'c_COMBB'( 'c_Power_Opower__class_Opower'( X )
% 1.48/1.91 , Z, X, 'tc_fun'( 'tc_nat', X ), Y ), T, Y, 'tc_nat', X ), U, hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), W ), T ), Y, X ), ~( 'c_Lim_OLIM'( Z
% 1.48/1.91 , U, W, Y, X ) ) ],
% 1.48/1.91 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 1.48/1.91 'class_Power_Opower'( X ) ), 'c_SEQ_OLIMSEQ'( 'c_COMBC'( 'c_COMBB'(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), Y, X, 'tc_fun'( 'tc_nat', X ),
% 1.48/1.91 'tc_nat' ), Z, 'tc_nat', 'tc_nat', X ), hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), T ), Z ), X ), ~( 'c_SEQ_OLIMSEQ'( Y
% 1.48/1.91 , T, X ) ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), Z ), T ) ) ), =( Z,
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.48/1.91 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.48/1.91 'c_COMBB'( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z, X, X,
% 1.48/1.91 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.48/1.91 , ~( 'c_SEQ_OLIMSEQ'( Z, T, X ) ) ],
% 1.48/1.91 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 1.48/1.91 'c_Series_Osummable'( 'c_COMBB'( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.48/1.91 , Y ), Z, X, X, 'tc_nat' ), X ), ~( 'c_Series_Osummable'( Z, X ) ) ],
% 1.48/1.91 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 1.48/1.91 'c_Series_Osummable'( 'c_COMBB'( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.48/1.91 , Y ), Z, X, X, 'tc_nat' ), X ), ~( 'c_Series_Osummable'( Z, X ) ) ],
% 1.48/1.91 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_Series_Osums'(
% 1.48/1.91 'c_COMBB'( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z, X, X,
% 1.48/1.91 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.48/1.91 , ~( 'c_Series_Osums'( Z, T, X ) ) ],
% 1.48/1.91 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_Series_Osums'(
% 1.48/1.91 'c_COMBB'( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z, X, X,
% 1.48/1.91 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.48/1.91 , ~( 'c_Series_Osums'( Z, T, X ) ) ],
% 1.48/1.91 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.48/1.91 'c_Finite__Set_Osetsum'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.48/1.91 'tc_bool' ) ), Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP(
% 1.48/1.91 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 1.48/1.91 [ ~( 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP(
% 1.48/1.91 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 1.48/1.91 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP(
% 1.48/1.91 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), Y ) ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP(
% 1.48/1.91 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ) ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), Y ), hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ) ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.48/1.91 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Y
% 1.48/1.91 , 'tc_nat' ), 'tc_nat' ) ), =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.48/1.91 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_lessequals'(
% 1.48/1.91 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ),
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.48/1.91 , 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.48/1.91 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ),
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.48/1.91 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.48/1.91 , 'tc_nat' ), 'tc_nat' ), =( 'c_Int_Onumber__class_Onumber__of'( Z,
% 1.48/1.91 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.48/1.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.48/1.91 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.48/1.91 , 'tc_nat' ), 'tc_nat' ), =( 'c_Int_Onumber__class_Onumber__of'( Z,
% 1.48/1.91 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~(
% 1.48/1.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), X ) ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), X ) ), ~(
% 1.48/1.91 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Y
% 1.48/1.91 , 'tc_nat' ), 'tc_nat' ) ) ],
% 1.48/1.91 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.48/1.91 'c_Finite__Set_Osetsum'( 'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.48/1.91 Y, X, X, Z ), T, Z, X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.48/1.91 'c_Finite__Set_Osetsum'( Y, T, Z, X ) ) ) ],
% 1.48/1.91 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP(
% 1.48/1.91 'c_HOL_Oabs__class_Oabs'( X ), 'c_Finite__Set_Osetsum'( 'c_COMBB'(
% 1.48/1.91 'c_HOL_Oabs__class_Oabs'( X ), Y, X, X, Z ), T, Z, X ) ),
% 1.48/1.91 'c_Finite__Set_Osetsum'( 'c_COMBB'( 'c_HOL_Oabs__class_Oabs'( X ), Y, X,
% 1.48/1.91 X, Z ), T, Z, X ) ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.48/1.91 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.48/1.91 'c_Int_OBit1'( 'c_Int_OPls' ), Y, 'tc_Int_Oint' ), ~(
% 1.48/1.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.48/1.91 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.48/1.91 'c_HOL_Oone__class_Oone'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.48/1.91 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( 'c_Int_OPls' ), Y,
% 1.48/1.91 'tc_Int_Oint' ) ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.48/1.91 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.48/1.91 'c_Int_OBit1'( 'c_Int_OPls' ), 'tc_Int_Oint' ), ~(
% 1.48/1.91 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.48/1.91 'c_HOL_Oone__class_Oone'( X ), X ) ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.48/1.91 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.48/1.91 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Int_OBit1'( 'c_Int_OPls' ),
% 1.48/1.91 'tc_Int_Oint' ) ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.48/1.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.48/1.91 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.48/1.91 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.48/1.91 ) ), Z ) ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.48/1.91 'c_HOL_Oone__class_Oone'( X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'(
% 1.48/1.91 X ), Y ), Z ), X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y,
% 1.48/1.91 X ) ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), Y ), Z ), hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), Y ), T ) ) ), ~(
% 1.48/1.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), =( Z
% 1.48/1.91 , T ) ],
% 1.48/1.91 [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', 'tc_nat' ),
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.48/1.91 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.48/1.91 'c_COMBS'( 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'( X ), Y, X, 'tc_fun'( X
% 1.48/1.91 , X ), 'tc_nat' ), 'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'( X ), Z, X,
% 1.48/1.91 X, 'tc_nat' ), 'tc_nat', X, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.48/1.91 X ), T ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), U ) ), X ), ~(
% 1.48/1.91 'c_SEQ_OLIMSEQ'( Z, U, X ) ), ~( 'c_SEQ_OLIMSEQ'( Y, T, X ) ) ],
% 1.48/1.91 [ 'c_HOL_Oord__class_Oless'( X, 'c_Int_OPls', 'tc_Int_Oint' ), ~(
% 1.48/1.91 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OPls',
% 1.48/1.91 'tc_Int_Oint' ) ) ],
% 1.48/1.91 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OPls',
% 1.48/1.91 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Int_OPls',
% 1.48/1.91 'tc_Int_Oint' ) ) ],
% 1.48/1.91 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ), ~(
% 1.48/1.91 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OBit0'( Y ),
% 1.48/1.91 'tc_Int_Oint' ) ) ],
% 1.48/1.91 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OBit0'( Y ),
% 1.48/1.91 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ) ) ]
% 1.48/1.91 ,
% 1.48/1.91 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ), ~(
% 1.48/1.91 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OBit0'( Y ),
% 1.48/1.91 'tc_Int_Oint' ) ) ],
% 1.48/1.91 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OBit0'( Y ),
% 1.48/1.91 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ) ) ]
% 1.48/1.91 ,
% 1.48/1.91 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ),
% 1.48/1.91 'c_Int_OBit0'( X ) ), 'c_Int_OBit1'( Y ) ), 'c_Int_OBit1'( hAPP( hAPP(
% 1.48/1.91 'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ), X ), Y ) ) ) ],
% 1.48/1.91 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ),
% 1.48/1.91 'c_Int_OBit1'( X ) ), 'c_Int_OBit0'( Y ) ), 'c_Int_OBit1'( hAPP( hAPP(
% 1.48/1.91 'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ), X ), Y ) ) ) ],
% 1.48/1.91 [ 'c_HOL_Oord__class_Oless'( X, 'c_Int_OPls', 'tc_Int_Oint' ), ~(
% 1.48/1.91 'c_HOL_Oord__class_Oless'( 'c_Int_OBit0'( X ), 'c_Int_OPls',
% 1.48/1.91 'tc_Int_Oint' ) ) ],
% 1.48/1.91 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OBit0'( X ), 'c_Int_OPls',
% 1.48/1.91 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Int_OPls',
% 1.48/1.91 'tc_Int_Oint' ) ) ],
% 1.48/1.91 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OPls', X, 'tc_Int_Oint' ), ~(
% 1.48/1.91 'c_HOL_Oord__class_Oless'( 'c_Int_OPls', 'c_Int_OBit0'( X ),
% 1.48/1.91 'tc_Int_Oint' ) ) ],
% 1.48/1.91 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OPls', 'c_Int_OBit0'( X ),
% 1.48/1.91 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( 'c_Int_OPls', X,
% 1.48/1.91 'tc_Int_Oint' ) ) ],
% 1.48/1.91 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.48/1.91 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, hAPP(
% 1.48/1.91 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.48/1.91 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.48/1.91 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X,
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, hAPP( 'c_Suc',
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.48/1.91 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), hAPP(
% 1.48/1.91 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ),
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.48/1.91 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.48/1.91 'tc_nat' ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.48/1.91 'tc_nat' ), Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ), 'tc_nat' ) ) ],
% 1.48/1.91 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( 'c_Suc',
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.48/1.91 'tc_nat' ) ), hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ]
% 1.48/1.91 ,
% 1.48/1.91 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.48/1.91 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X,
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.48/1.91 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.48/1.91 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, hAPP(
% 1.48/1.91 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, hAPP( 'c_Suc'
% 1.48/1.91 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.48/1.91 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.48/1.91 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' )
% 1.48/1.91 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y
% 1.48/1.91 , 'tc_nat' ) ) ],
% 1.48/1.91 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.48/1.91 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' )
% 1.48/1.91 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X
% 1.48/1.91 , 'tc_nat' ) ) ],
% 1.48/1.91 [ ~( =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP(
% 1.48/1.91 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( Y, hAPP(
% 1.48/1.91 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.48/1.91 [ ~( =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP(
% 1.48/1.91 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( X,
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, hAPP( 'c_Suc',
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.48/1.91 [ =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 1.48/1.91 'tc_nat' ) ), hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) )
% 1.48/1.91 ],
% 1.48/1.91 [ ~( =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP(
% 1.48/1.91 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( X,
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.48/1.91 [ ~( =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP(
% 1.48/1.91 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( Y, hAPP(
% 1.48/1.91 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, hAPP( 'c_Suc'
% 1.48/1.91 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.48/1.91 [ =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( 'c_Suc',
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.48/1.91 'tc_nat' ) ) ) ],
% 1.48/1.91 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( 'c_Suc',
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), hAPP( 'c_Suc',
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.48/1.91 [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_Divides_Odiv__class_Omod'( X,
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit0'(
% 1.48/1.91 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat' ), 'tc_nat' ), 'tc_nat' ),
% 1.48/1.91 ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.48/1.91 [ 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ), ~(
% 1.48/1.91 'c_Parity_Oeven__odd__class_Oeven'( 'c_Divides_Odiv__class_Omod'( X,
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit0'(
% 1.48/1.91 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat' ), 'tc_nat' ), 'tc_nat' ) ) ]
% 1.48/1.91 ,
% 1.48/1.91 [ =( 'c_Divides_Odiv__class_Omod'( hAPP( 'c_Suc', hAPP( 'c_Suc', X ) ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.48/1.91 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ), 'c_Divides_Odiv__class_Omod'( X
% 1.48/1.91 , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.48/1.91 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ) ) ],
% 1.48/1.91 [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( 'c_Suc', hAPP( 'c_Suc', X ) ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.48/1.91 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ), hAPP( 'c_Suc',
% 1.48/1.91 'c_Divides_Odiv__class_Odiv'( X, 'c_Int_Onumber__class_Onumber__of'(
% 1.48/1.91 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ) )
% 1.48/1.91 ) ],
% 1.48/1.91 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.48/1.91 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.48/1.91 ), Z ), Y ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' )
% 1.48/1.91 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.48/1.91 , Y, 'tc_nat' ) ) ],
% 1.48/1.91 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.48/1.91 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.48/1.91 ), X ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' )
% 1.48/1.91 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.48/1.91 , X, 'tc_nat' ) ) ],
% 1.48/1.91 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.48/1.91 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.48/1.91 ), X ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ), ~(
% 1.48/1.91 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 1.48/1.91 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.48/1.91 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.48/1.91 ), Z ), Y ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 'tc_nat' ) ), ~(
% 1.48/1.91 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 1.48/1.91 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.48/1.91 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.48/1.91 'tc_nat' ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.48/1.91 ), Z ), Y ), 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ) ) ],
% 1.48/1.91 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.48/1.91 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.48/1.91 ), X ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' )
% 1.48/1.91 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.48/1.91 , X, 'tc_nat' ) ) ],
% 1.48/1.91 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.48/1.91 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.48/1.91 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), X
% 1.48/1.91 ), 'tc_nat' ) ) ],
% 1.48/1.91 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.48/1.91 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.48/1.91 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y
% 1.48/1.91 ), 'tc_nat' ) ) ],
% 1.48/1.91 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.48/1.91 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), X ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), X ), 'tc_nat' ) ) ],
% 1.48/1.91 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.48/1.91 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ), 'tc_nat' ) ) ],
% 1.48/1.91 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.48/1.91 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ), ~(
% 1.48/1.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.48/1.91 'tc_nat' ) ), =( Y, Z ) ],
% 1.48/1.91 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.48/1.91 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, hAPP(
% 1.48/1.91 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.48/1.91 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.48/1.91 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X, hAPP(
% 1.48/1.91 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.48/1.91 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.48/1.91 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 'tc_nat'
% 1.48/1.91 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.48/1.91 , Y, 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ) ],
% 1.48/1.91 [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 1.48/1.91 'tc_nat' ) ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Y ), 'tc_nat' ),
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.48/1.91 [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ), 'tc_nat' ),
% 1.48/1.91 'c_Divides_Odiv__class_Odiv'( Y, Z, 'tc_nat' ) ), =( X,
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.48/1.91 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc'
% 1.48/1.91 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), hAPP( 'c_Suc',
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), hAPP( 'c_Suc',
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.48/1.91 [ =( 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), X, 'tc_nat' ),
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.48/1.91 [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( 'c_Suc', hAPP( 'c_Suc', hAPP(
% 1.48/1.91 'c_Suc', X ) ) ), Y, 'tc_nat' ), 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP(
% 1.48/1.91 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.48/1.91 'c_Int_OPls' ) ), 'tc_nat' ) ), X ), Y, 'tc_nat' ) ) ],
% 1.48/1.91 [ =( 'c_Divides_Odiv__class_Odiv'( X, hAPP( 'c_Suc', hAPP( 'c_Suc', hAPP(
% 1.48/1.91 'c_Suc', Y ) ) ), 'tc_nat' ), 'c_Divides_Odiv__class_Odiv'( X, hAPP( hAPP(
% 1.48/1.91 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.48/1.91 'c_Int_OPls' ) ), 'tc_nat' ) ), Y ), 'tc_nat' ) ) ],
% 1.48/1.91 [ =( 'c_Divides_Odiv__class_Omod'( hAPP( 'c_Suc', hAPP( 'c_Suc', hAPP(
% 1.48/1.91 'c_Suc', X ) ) ), Y, 'tc_nat' ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 1.48/1.91 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.48/1.91 'c_Int_OPls' ) ), 'tc_nat' ) ), X ), Y, 'tc_nat' ) ) ],
% 1.48/1.91 [ =( 'c_Divides_Odiv__class_Omod'( X, hAPP( 'c_Suc', hAPP( 'c_Suc', hAPP(
% 1.48/1.91 'c_Suc', Y ) ) ), 'tc_nat' ), 'c_Divides_Odiv__class_Omod'( X, hAPP( hAPP(
% 1.48/1.91 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.48/1.91 'c_Int_OPls' ) ), 'tc_nat' ) ), Y ), 'tc_nat' ) ) ],
% 1.48/1.91 [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( 'c_Suc', hAPP( 'c_Suc', hAPP(
% 1.48/1.91 'c_Suc', X ) ) ), 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.48/1.91 'tc_nat' ), 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP(
% 1.48/1.91 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.48/1.91 'c_Int_OPls' ) ), 'tc_nat' ) ), X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.48/1.91 Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.48/1.91 [ =( 'c_Divides_Odiv__class_Omod'( hAPP( 'c_Suc', hAPP( 'c_Suc', hAPP(
% 1.48/1.91 'c_Suc', X ) ) ), 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.48/1.91 'tc_nat' ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 1.48/1.91 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.48/1.91 'c_Int_OPls' ) ), 'tc_nat' ) ), X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.48/1.91 Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.48/1.91 [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP(
% 1.48/1.91 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'(
% 1.48/1.91 'tc_nat' ) ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.48/1.91 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ), hAPP( 'c_Suc',
% 1.48/1.91 'c_Divides_Odiv__class_Odiv'( X, 'c_Int_Onumber__class_Onumber__of'(
% 1.48/1.91 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ) )
% 1.48/1.91 ), 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.48/1.91 [ =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), hAPP( 'c_Suc',
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.48/1.91 [ =( 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 1.48/1.91 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), Z ), Y, 'tc_nat' )
% 1.48/1.91 , 'c_Divides_Odiv__class_Omod'( Z, Y, 'tc_nat' ) ) ],
% 1.48/1.91 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc'
% 1.48/1.91 , X ) ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ),
% 1.48/1.91 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.48/1.91 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), hAPP(
% 1.48/1.91 'c_Suc', Y ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 1.48/1.91 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.48/1.91 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP(
% 1.48/1.91 hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), T ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), U ) ) ) ), =(
% 1.48/1.91 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ),
% 1.48/1.91 'c_Divides_Odiv__class_Omod'( T, Y, 'tc_nat' ) ) ],
% 1.48/1.91 [ =( 'c_SetInterval_Oord__class_OatLeastLessThan'( X,
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ),
% 1.48/1.91 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_nat', 'tc_bool' ) ) ) ]
% 1.48/1.91 ,
% 1.48/1.91 [ =( hAPP( 'c_Suc', X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.48/1.91 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ],
% 1.48/1.91 [ =( hAPP( 'c_Suc', X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.48/1.91 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), X ) ) ],
% 1.48/1.91 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.48/1.91 'c_COMBB'( Y, 'c_COMBC'( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z,
% 1.48/1.91 'tc_nat', 'tc_nat', 'tc_nat' ), 'tc_nat', X, 'tc_nat' ), T, X ), ~(
% 1.48/1.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 1.48/1.91 'tc_nat' ) ), ~( 'c_SEQ_OLIMSEQ'( Y, T, X ) ) ],
% 1.48/1.91 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.48/1.91 'c_Series_Osummable'( Y, X ) ), =( 'c_Series_Osuminf'( 'c_COMBB'( Y,
% 1.48/1.91 'c_COMBC'( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z, 'tc_nat', 'tc_nat'
% 1.48/1.91 , 'tc_nat' ), 'tc_nat', X, 'tc_nat' ), X ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Ominus__class_Ominus'( X ), 'c_Series_Osuminf'( Y, X ) ),
% 1.48/1.91 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ), 'tc_nat', X ) ) )
% 1.48/1.91 ],
% 1.48/1.91 [ 'c_Fun_Oinj__on'( 'c_COMBC'( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X
% 1.48/1.91 , 'tc_nat', 'tc_nat', 'tc_nat' ), Y, 'tc_nat', 'tc_nat' ) ],
% 1.48/1.91 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.48/1.91 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( Z, T, U, Y, X ),
% 1.48/1.91 ~( 'c_Lim_OLIM'( W, T, U, Y, X ) ), ~( 'c_Lim_OLIM'( 'c_COMBS'( 'c_COMBB'(
% 1.48/1.91 'c_HOL_Oplus__class_Oplus'( X ), Z, X, 'tc_fun'( X, X ), Y ), 'c_COMBB'(
% 1.48/1.91 'c_HOL_Ouminus__class_Ouminus'( X ), W, X, X, Y ), Y, X, X ), T,
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.48/1.91 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.48/1.91 'c_Int_OPls' ) ), X ) ), X ) ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.48/1.91 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.48/1.91 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.48/1.91 'c_Int_OPls' ) ), X ) ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.48/1.91 [ =( X, hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X
% 1.48/1.91 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.48/1.91 X, 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.48/1.91 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ) ) ],
% 1.48/1.91 [ 'c_Fun_Oinj__on'( 'c_COMBB'( 'c_Suc', hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.48/1.91 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_nat', 'tc_nat' ), X,
% 1.48/1.91 'tc_nat', 'tc_nat' ) ],
% 1.48/1.91 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_Series_Osums'(
% 1.48/1.91 'c_COMBB'( Y, 'c_COMBC'( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z,
% 1.48/1.91 'tc_nat', 'tc_nat', 'tc_nat' ), 'tc_nat', X, 'tc_nat' ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Ominus__class_Ominus'( X ), T ), 'c_Finite__Set_Osetsum'( Y,
% 1.48/1.91 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.48/1.91 'tc_nat' ), Z, 'tc_nat' ), 'tc_nat', X ) ), X ), ~( 'c_Series_Osums'( Y,
% 1.48/1.91 T, X ) ) ],
% 1.48/1.91 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.48/1.91 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.48/1.91 hAPP( 'c_Suc', Z ), hAPP( 'c_Suc', T ), 'tc_nat' ), 'tc_nat', X ),
% 1.48/1.91 'c_Finite__Set_Osetsum'( 'c_COMBB'( Y, 'c_Suc', 'tc_nat', X, 'tc_nat' ),
% 1.48/1.91 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, 'tc_nat' ), 'tc_nat'
% 1.48/1.91 , X ) ) ],
% 1.48/1.91 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 1.48/1.91 'c_Series_Osummable'( 'c_COMBB'( Y, 'c_COMBC'( 'c_HOL_Oplus__class_Oplus'(
% 1.48/1.91 'tc_nat' ), Z, 'tc_nat', 'tc_nat', 'tc_nat' ), 'tc_nat', X, 'tc_nat' ), X
% 1.48/1.91 ), ~( 'c_Series_Osummable'( Y, X ) ) ],
% 1.48/1.91 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.48/1.91 'c_COMBB'( Y, 'c_COMBC'( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z,
% 1.48/1.91 'tc_nat', 'tc_nat', 'tc_nat' ), 'tc_nat', X, 'tc_nat' ), T, X ), ~(
% 1.48/1.91 'c_SEQ_OLIMSEQ'( Y, T, X ) ) ],
% 1.48/1.91 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_SEQ_OLIMSEQ'( Y, Z, X
% 1.48/1.91 ), ~( 'c_SEQ_OLIMSEQ'( 'c_COMBB'( Y, 'c_COMBC'(
% 1.48/1.91 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), T, 'tc_nat', 'tc_nat', 'tc_nat' )
% 1.48/1.91 , 'tc_nat', X, 'tc_nat' ), Z, X ) ) ],
% 1.48/1.91 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OBseq'(
% 1.48/1.91 'c_COMBB'( Y, 'c_COMBC'( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z,
% 1.48/1.91 'tc_nat', 'tc_nat', 'tc_nat' ), 'tc_nat', X, 'tc_nat' ), X ), ~(
% 1.48/1.91 'c_SEQ_OBseq'( Y, X ) ) ],
% 1.48/1.91 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OBseq'( Y,
% 1.48/1.91 X ), ~( 'c_SEQ_OBseq'( 'c_COMBB'( Y, 'c_COMBC'(
% 1.48/1.91 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z, 'tc_nat', 'tc_nat', 'tc_nat' )
% 1.48/1.91 , 'tc_nat', X, 'tc_nat' ), X ) ) ],
% 1.48/1.91 [ =( 'c_Set_Oimage'( 'c_COMBC'( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.48/1.91 X, 'tc_nat', 'tc_nat', 'tc_nat' ),
% 1.48/1.91 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, 'tc_nat' ), 'tc_nat'
% 1.48/1.91 , 'tc_nat' ), 'c_SetInterval_Oord__class_OatLeastLessThan'( hAPP( hAPP(
% 1.48/1.91 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), X ), 'tc_nat' ) ) ],
% 1.48/1.91 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.48/1.91 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), hAPP( 'c_Suc', hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.48/1.91 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 'c_Power_Opower_Opower'(
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), X ),
% 1.48/1.91 hAPP( hAPP( 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.48/1.91 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), Z ) ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.48/1.91 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.48/1.91 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.48/1.91 ), Y ), hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.48/1.91 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.48/1.91 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ),
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.48/1.91 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ), X ) ) ],
% 1.48/1.91 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.48/1.91 'c_Int_OMin', X ) ), hAPP( 'c_Suc', hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.48/1.91 'c_Int_OPls' ) ), 'tc_nat' ) ), Y ) ) ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ) ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.48/1.91 X ), 'c_HOL_Oone__class_Oone'( X ) ) ), hAPP( 'c_Suc', hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.48/1.91 'c_Int_OPls' ) ), 'tc_nat' ) ), Y ) ) ), hAPP(
% 1.48/1.91 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ]
% 1.48/1.91 ,
% 1.48/1.91 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.48/1.91 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.48/1.91 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.48/1.91 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ), 'tc_nat' ), ~(
% 1.48/1.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.48/1.91 'tc_nat' ) ) ],
% 1.48/1.91 [ =( hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' )
% 1.48/1.91 , hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.48/1.91 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ), 'c_HOL_Oone__class_Oone'( 'tc_nat'
% 1.48/1.91 ) ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.48/1.91 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 1.48/1.91 'tc_nat' ) ) ],
% 1.48/1.91 [ =( 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit0'(
% 1.48/1.91 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat' ), 'tc_nat' ),
% 1.48/1.91 'c_Set_Oinsert'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Set_Oinsert'(
% 1.48/1.91 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'c_Set_Oinsert'(
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.48/1.91 'c_Int_OPls' ) ), 'tc_nat' ), 'c_Set_Oinsert'(
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.48/1.91 'c_Int_OPls' ) ), 'tc_nat' ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 1.48/1.91 'tc_nat', 'tc_bool' ) ), 'tc_nat' ), 'tc_nat' ), 'tc_nat' ), 'tc_nat' ) )
% 1.48/1.91 ],
% 1.48/1.91 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.48/1.91 'c_Series_Osuminf'( Y, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.48/1.91 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ), 'tc_nat', X ) ),
% 1.48/1.91 'c_Series_Osuminf'( 'c_COMBB'( Y, 'c_COMBC'( 'c_HOL_Oplus__class_Oplus'(
% 1.48/1.91 'tc_nat' ), Z, 'tc_nat', 'tc_nat', 'tc_nat' ), 'tc_nat', X, 'tc_nat' ), X
% 1.48/1.91 ) ) ), ~( 'c_Series_Osummable'( Y, X ) ) ],
% 1.48/1.91 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 1.48/1.91 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBC'(
% 1.48/1.91 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), Z, X, 'tc_fun'( X, X ), Y )
% 1.48/1.91 , T, Y, X, X ), U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.48/1.91 'c_Lim_OLIM'( Z, U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.48/1.91 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 1.48/1.91 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBC'(
% 1.48/1.91 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), Z, X, 'tc_fun'( X, X ), Y )
% 1.48/1.91 , T, Y, X, X ), U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.48/1.91 'c_Lim_OLIM'( Z, U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.48/1.91 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 1.48/1.91 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBS'(
% 1.48/1.91 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), Z, X, 'tc_fun'( X, X ), Y )
% 1.48/1.91 , T, Y, X, X ), U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.48/1.91 'c_Lim_OLIM'( T, U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.48/1.91 'c_Lim_OLIM'( Z, U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.48/1.91 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.48/1.91 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBS'(
% 1.48/1.91 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'( X ), Z, X, 'tc_fun'( X, X ), Y ),
% 1.48/1.91 T, Y, X, X ), U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_Lim_OLIM'(
% 1.48/1.91 T, U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_Lim_OLIM'( Z, U,
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.48/1.91 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'(
% 1.48/1.91 'c_COMBS'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), Y, X, 'tc_fun'(
% 1.48/1.91 X, X ), X ), Z, X, X, X ), T, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.48/1.91 , hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), hAPP( Z, T ) ) ),
% 1.48/1.91 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), W ), hAPP( Y, T ) ) ), X )
% 1.48/1.91 , ~( 'c_Deriv_Oderiv'( Z, T, W, X ) ), ~( 'c_Deriv_Oderiv'( Y, T, U, X )
% 1.48/1.91 ) ],
% 1.48/1.91 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'(
% 1.48/1.91 'c_COMBS'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), Y, X, 'tc_fun'(
% 1.48/1.91 X, X ), X ), Z, X, X, X ), T, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.48/1.91 , hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( Y, T ) ), U ) ),
% 1.48/1.91 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), W ), hAPP( Z, T ) ) ), X )
% 1.48/1.91 , ~( 'c_Deriv_Oderiv'( Z, T, U, X ) ), ~( 'c_Deriv_Oderiv'( Y, T, W, X )
% 1.48/1.91 ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.48/1.91 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.48/1.91 , Y ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP(
% 1.48/1.91 hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~(
% 1.48/1.91 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.48/1.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.48/1.91 ,
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), X ) ),
% 1.48/1.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_HOL_Oord__class_Oless'(
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), X ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ),
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.48/1.91 [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ),
% 1.48/1.91 'tc_nat' ), hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ]
% 1.48/1.91 ,
% 1.48/1.91 [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.48/1.91 'c_Int_OPls' ) ), 'tc_nat' ), hAPP( 'c_Suc', hAPP( 'c_Suc', hAPP( 'c_Suc'
% 1.48/1.91 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ) ],
% 1.48/1.91 [ =( hAPP( hAPP( X, Y ), Y ), hAPP( hAPP( Z, Y ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.48/1.91 'c_Int_OPls' ) ), 'tc_nat' ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( T
% 1.48/1.91 , X, Z, U, W, V0 ) ) ],
% 1.48/1.91 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ) ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ),
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X
% 1.48/1.91 , 'c_Int_OPls', 'tc_Int_Oint' ) ) ],
% 1.48/1.91 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ) ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), Z ) ),
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X
% 1.48/1.91 , 'c_Int_OPls', 'tc_Int_Oint' ) ) ],
% 1.48/1.91 [ =( hAPP( 'c_Suc', hAPP( 'c_Suc', hAPP( 'c_Suc', X ) ) ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.48/1.91 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ) ],
% 1.48/1.91 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), ~( =( hAPP( Y,
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.48/1.91 ) ), =( 'c_Finite__Set_Osetsum'( Y,
% 1.48/1.91 'c_SetInterval_Oord__class_OatLeastLessThan'( hAPP( 'c_Suc',
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z, 'tc_nat' ), 'tc_nat', X ),
% 1.48/1.91 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ), 'tc_nat', X ) ) ]
% 1.48/1.91 ,
% 1.48/1.91 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.48/1.91 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'(
% 1.48/1.91 'tc_nat' ) ) ), Y ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ]
% 1.48/1.91 ,
% 1.48/1.91 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ) ),
% 1.48/1.91 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'(
% 1.48/1.91 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Int_OPls',
% 1.48/1.91 'tc_Int_Oint' ) ) ],
% 1.48/1.91 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.48/1.91 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ) ),
% 1.48/1.91 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X,
% 1.48/1.91 'c_Int_OPls', 'tc_Int_Oint' ) ) ],
% 1.48/1.91 [ ~( 'class_Power_Opower'( X ) ), ~(
% 1.48/1.91 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.48/1.91 'c_Finite__Set_Osetsum'( 'c_COMBS'( 'c_COMBB'(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_Power_Opower__class_Opower'(
% 1.48/1.91 X ), Y ), X, 'tc_fun'( X, X ), 'tc_nat' ), 'c_COMBB'( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), Z ), hAPP(
% 1.48/1.91 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ), 'tc_nat', X, 'tc_nat' ),
% 1.48/1.91 'tc_nat', X, X ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( 'c_Suc', T ), 'tc_nat' ),
% 1.48/1.91 'tc_nat', X ), 'c_Finite__Set_Osetsum'( 'c_COMBS'( 'c_COMBB'(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), 'c_COMBB'( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), Y ), hAPP(
% 1.48/1.91 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ), 'tc_nat', X, 'tc_nat' ), X
% 1.48/1.91 , 'tc_fun'( X, X ), 'tc_nat' ), hAPP( 'c_Power_Opower__class_Opower'( X )
% 1.48/1.91 , Z ), 'tc_nat', X, X ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( 'c_Suc', T ), 'tc_nat' ),
% 1.48/1.91 'tc_nat', X ) ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), ~(
% 1.48/1.91 'class_OrderedGroup_Omonoid__mult'( X ) ), =( 'c_Finite__Set_Osetsum'(
% 1.48/1.91 'c_COMBS'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), Y ), X, 'tc_fun'( X, X ), 'tc_nat' )
% 1.48/1.91 , 'c_COMBB'( hAPP( 'c_Power_Opower__class_Opower'( X ), Z ), hAPP(
% 1.48/1.91 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( 'c_Suc', T ) ), 'tc_nat'
% 1.48/1.91 , X, 'tc_nat' ), 'tc_nat', X, X ),
% 1.48/1.91 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.48/1.91 'tc_nat' ), hAPP( 'c_Suc', T ), 'tc_nat' ), 'tc_nat', X ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), Z ), 'c_Finite__Set_Osetsum'(
% 1.48/1.91 'c_COMBS'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), Y ), X, 'tc_fun'( X, X ), 'tc_nat' )
% 1.48/1.91 , 'c_COMBB'( hAPP( 'c_Power_Opower__class_Opower'( X ), Z ), hAPP(
% 1.48/1.91 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ), 'tc_nat', X, 'tc_nat' ),
% 1.48/1.91 'tc_nat', X, X ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( 'c_Suc', T ), 'tc_nat' ),
% 1.48/1.91 'tc_nat', X ) ) ) ],
% 1.48/1.91 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.48/1.91 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastAtMost'(
% 1.48/1.91 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), U ), T ), 'tc_nat' ), 'tc_nat', X
% 1.48/1.91 ), 'c_Finite__Set_Osetsum'( 'c_COMBB'( Y, 'c_COMBC'(
% 1.48/1.91 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), T, 'tc_nat', 'tc_nat', 'tc_nat' )
% 1.48/1.91 , 'tc_nat', X, 'tc_nat' ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Z
% 1.48/1.91 , U, 'tc_nat' ), 'tc_nat', X ) ) ],
% 1.48/1.91 [ =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' )
% 1.48/1.91 , 'c_FFT__Mirabelle_Oroot'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.48/1.91 'tc_nat' ), X ), Y ) ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.48/1.91 'tc_nat' ), X ), Z ) ), hAPP( hAPP( 'c_Power_Opower__class_Opower'(
% 1.48/1.91 'tc_Complex_Ocomplex' ), 'c_FFT__Mirabelle_Oroot'( Y ) ), Z ) ), ~(
% 1.48/1.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.48/1.91 'tc_nat' ) ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.48/1.91 X ) ), 'c_Groebner__Basis_Osemiringb'( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), 'c_Power_Opower__class_Opower'( X ),
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ), X ) ]
% 1.48/1.91 ,
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.48/1.91 'c_Groebner__Basis_Ogb__semiring'( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), 'c_Power_Opower__class_Opower'( X ),
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ), X ) ]
% 1.48/1.91 ,
% 1.48/1.91 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.48/1.91 'c_HOL_Oplus__class_Oplus'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.48/1.91 ) ), 'c_HOL_Oone__class_Oone'( X ) ), 'c_Int_Onumber__class_Onumber__of'(
% 1.48/1.91 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ), Y ),
% 1.48/1.91 'c_Int_OBit1'( 'c_Int_OPls' ) ), X ) ) ],
% 1.48/1.91 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.48/1.91 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( Y, X ) ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( hAPP( hAPP(
% 1.48/1.91 'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ), 'c_Int_OBit1'( 'c_Int_OPls'
% 1.48/1.91 ) ), Y ), X ) ) ],
% 1.48/1.91 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.48/1.91 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.48/1.91 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.48/1.91 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ) ), Y ) ) ],
% 1.48/1.91 [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.48/1.91 'c_Int_OPls' ) ), 'tc_nat' ), hAPP( 'c_Suc', hAPP( 'c_Suc',
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 1.48/1.91 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.48/1.91 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ) ],
% 1.48/1.91 [ =( hAPP( 'c_Suc', hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.48/1.91 ) ) ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.48/1.91 'c_Int_OPls' ) ), 'tc_nat' ) ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.48/1.91 , Y ) ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.48/1.91 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.48/1.91 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.48/1.91 X ), Y ) ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.48/1.91 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.48/1.91 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP(
% 1.48/1.91 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'(
% 1.48/1.91 X ), Y ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.48/1.91 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.48/1.91 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ],
% 1.48/1.91 [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP(
% 1.48/1.91 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), X ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.48/1.91 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ), X ) ],
% 1.48/1.91 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.48/1.91 'c_Int_OPls' ) ), 'tc_nat' ) ), X ), hAPP( 'c_Suc', hAPP( 'c_Suc', X ) )
% 1.48/1.91 ) ],
% 1.48/1.91 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.48/1.91 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( 'c_Suc', hAPP( 'c_Suc', X ) ) ) ]
% 1.48/1.91 ,
% 1.48/1.91 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.48/1.91 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.48/1.91 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ), hAPP( hAPP( T, hAPP(
% 1.48/1.91 hAPP( X, Y ), Z ) ), hAPP( hAPP( X, Y ), Z ) ) ), ~(
% 1.48/1.91 'c_Groebner__Basis_Ogb__semiring'( U, T, X, W, V0, V1 ) ) ],
% 1.48/1.91 [ 'c_Fun_Oinj__on'( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.48/1.91 'c_Int_OPls' ) ), 'tc_nat' ) ), X, 'tc_nat', 'tc_nat' ) ],
% 1.48/1.91 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.48/1.91 'c_Int_OPls' ) ), 'tc_nat' ) ), X ), 'tc_nat' ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), ~(
% 1.48/1.91 'class_OrderedGroup_Omonoid__mult'( X ) ), =( 'c_Finite__Set_Osetsum'(
% 1.48/1.91 'c_COMBC'( 'c_COMBB'( 'c_HOL_Ominus__class_Ominus'( X ), 'c_COMBS'(
% 1.48/1.91 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), 'c_COMBB'( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP(
% 1.48/1.91 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ), 'tc_nat', X, 'tc_nat' ), X
% 1.48/1.91 , 'tc_fun'( X, X ), 'tc_nat' ), hAPP( 'c_Power_Opower__class_Opower'( X )
% 1.48/1.91 , Y ), 'tc_nat', X, X ), X, 'tc_fun'( X, X ), 'tc_nat' ), hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), Y ), T ), 'tc_nat', X, X ),
% 1.48/1.91 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.48/1.91 'tc_nat' ), T, 'tc_nat' ), 'tc_nat', X ), 'c_Finite__Set_Osetsum'(
% 1.48/1.91 'c_COMBS'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), Y ), X, 'tc_fun'( X, X ), 'tc_nat' )
% 1.48/1.91 , 'c_COMBS'( 'c_COMBB'( 'c_HOL_Ominus__class_Ominus'( X ), 'c_COMBB'(
% 1.48/1.91 hAPP( 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP(
% 1.48/1.91 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ), 'tc_nat', X, 'tc_nat' ), X
% 1.48/1.91 , 'tc_fun'( X, X ), 'tc_nat' ), 'c_COMBB'( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), Y ), hAPP(
% 1.48/1.91 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ), 'tc_nat', X, 'tc_nat' ),
% 1.48/1.91 'tc_nat', X, X ), 'tc_nat', X, X ),
% 1.48/1.91 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.48/1.91 'tc_nat' ), T, 'tc_nat' ), 'tc_nat', X ) ) ],
% 1.48/1.91 [ =( 'c_FFT__Mirabelle_Oroot'( 'c_Int_Onumber__class_Onumber__of'(
% 1.48/1.91 'c_Int_OBit0'( 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat'
% 1.48/1.91 ) ), 'c_Complex_Oii' ) ],
% 1.48/1.91 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.48/1.91 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.48/1.91 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.48/1.91 ), Y ), Y ) ) ],
% 1.48/1.91 [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), =(
% 1.48/1.91 'c_Series_Osuminf'( 'c_COMBS'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X
% 1.48/1.91 ), Y, X, 'tc_fun'( X, X ), 'tc_nat' ), hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.48/1.91 'tc_nat', X, X ), X ), hAPP( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 1.48/1.91 ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.48/1.91 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.48/1.91 ), Y ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.48/1.91 'c_Int_OPls' ) ), 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.48/1.91 ,
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.48/1.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.48/1.91 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.48/1.91 Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.48/1.91 ~( 'c_lessequals'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.48/1.91 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.48/1.91 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.48/1.91 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.48/1.91 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.48/1.91 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ), =( Y, Z ), ~( 'c_lessequals'(
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.48/1.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.48/1.91 'c_Int_OPls' ) ), 'tc_nat' ) ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.48/1.91 ) ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.48/1.91 X ), Y ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.48/1.91 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ), hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.48/1.91 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ) ],
% 1.48/1.91 [ =( 'c_Divides_Odiv__class_Omod'( X, 'c_Int_Onumber__class_Onumber__of'(
% 1.48/1.91 'c_Int_OBit0'( 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat'
% 1.48/1.91 ), 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'(
% 1.48/1.91 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), =(
% 1.48/1.91 'c_Divides_Odiv__class_Omod'( X, 'c_Int_Onumber__class_Onumber__of'(
% 1.48/1.91 'c_Int_OBit0'( 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat'
% 1.48/1.91 ), 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.48/1.91 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), =(
% 1.48/1.91 'c_Divides_Odiv__class_Omod'( X, 'c_Int_Onumber__class_Onumber__of'(
% 1.48/1.91 'c_Int_OBit0'( 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat'
% 1.48/1.91 ), 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), =(
% 1.48/1.91 'c_Divides_Odiv__class_Omod'( X, 'c_Int_Onumber__class_Onumber__of'(
% 1.48/1.91 'c_Int_OBit0'( 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat'
% 1.48/1.91 ), 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.48/1.91 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.48/1.91 'c_Finite__Set_Osetsum'( 'c_COMBB'( Y, 'c_COMBC'(
% 1.48/1.91 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z, 'tc_nat', 'tc_nat', 'tc_nat' )
% 1.48/1.91 , 'tc_nat', X, 'tc_nat' ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), T, 'tc_nat' ), 'tc_nat', X ),
% 1.48/1.91 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), 'c_Finite__Set_Osetsum'( Y
% 1.48/1.91 , 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), T ), Z ), 'tc_nat' ), 'tc_nat', X
% 1.48/1.91 ) ), 'c_Finite__Set_Osetsum'( Y,
% 1.48/1.91 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.48/1.91 'tc_nat' ), Z, 'tc_nat' ), 'tc_nat', X ) ) ) ],
% 1.48/1.91 [ =( 'c_FFT__Mirabelle_OIDFT'( X, Y, 'v_i' ), 'c_Finite__Set_Osetsum'(
% 1.48/1.91 'c_COMBS'( 'c_COMBB'( 'c_HOL_Oinverse__class_Odivide'(
% 1.48/1.91 'tc_Complex_Ocomplex' ), Y, 'tc_Complex_Ocomplex', 'tc_fun'(
% 1.48/1.91 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ), 'tc_nat' ), 'c_COMBB'(
% 1.48/1.91 hAPP( 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ),
% 1.48/1.91 'c_FFT__Mirabelle_Oroot'( X ) ), hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.48/1.91 'tc_nat' ), 'v_i' ), 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat' ),
% 1.48/1.91 'tc_nat', 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ),
% 1.48/1.91 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.48/1.91 'tc_nat' ), X, 'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex' ) ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.48/1.91 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.48/1.91 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.48/1.91 'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.48/1.91 ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.48/1.91 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.48/1.91 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.48/1.91 'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.48/1.91 ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.48/1.91 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.48/1.91 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.48/1.91 'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ]
% 1.48/1.91 ,
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.48/1.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.48/1.91 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.48/1.91 'c_Int_OPls' ) ), 'tc_nat' ) ) ), X ) ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.48/1.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.48/1.91 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.48/1.91 'c_Int_OPls' ) ), 'tc_nat' ) ) ), X ), =( Z, 'c_HOL_Ozero__class_Ozero'(
% 1.48/1.91 X ) ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.48/1.91 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.48/1.91 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.48/1.91 'c_Int_OPls' ) ), 'tc_nat' ) ) ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.48/1.91 X ) ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.48/1.91 X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.48/1.91 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.48/1.91 'c_Int_OPls' ) ), 'tc_nat' ) ) ), X ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.48/1.91 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.48/1.91 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.48/1.91 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.48/1.91 'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.48/1.91 ],
% 1.48/1.91 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.48/1.91 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.48/1.91 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ), hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.48/1.91 'c_HOL_Oplus__class_Oplus'( X ), X ), hAPP( hAPP( 'c_Power_Opower_Opower'(
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), X ), Y
% 1.48/1.91 ), Z ) ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.48/1.91 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.48/1.91 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ), X ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.48/1.91 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.48/1.91 ) ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.48/1.91 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ) ],
% 1.48/1.91 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.48/1.91 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.48/1.91 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.48/1.91 X ), 'c_HOL_Oone__class_Oone'( X ) ) ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.48/1.91 'c_Int_OPls' ) ), 'tc_nat' ) ), Y ) ), 'c_HOL_Oone__class_Oone'( X ) ) ]
% 1.48/1.91 ,
% 1.48/1.91 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.48/1.91 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.48/1.91 X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.48/1.91 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.48/1.91 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.48/1.91 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), X ) ), Y ) ), Z ) ) ) ]
% 1.48/1.91 ,
% 1.48/1.91 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.48/1.91 'c_Int_OMin', X ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' )
% 1.48/1.91 , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.48/1.91 'c_Int_OPls' ) ), 'tc_nat' ) ), Y ) ), 'c_HOL_Oone__class_Oone'( X ) ) ]
% 1.48/1.91 ,
% 1.48/1.91 [ =( 'c_FFT__Mirabelle_ODFT'( X, Y, 'v_i' ), 'c_Finite__Set_Osetsum'(
% 1.48/1.91 'c_COMBS'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( 'tc_Complex_Ocomplex'
% 1.48/1.91 ), 'c_COMBB'( hAPP( 'c_Power_Opower__class_Opower'(
% 1.48/1.91 'tc_Complex_Ocomplex' ), 'c_FFT__Mirabelle_Oroot'( X ) ), hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'v_i' ), 'tc_nat',
% 1.48/1.91 'tc_Complex_Ocomplex', 'tc_nat' ), 'tc_Complex_Ocomplex', 'tc_fun'(
% 1.48/1.91 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ), 'tc_nat' ), Y, 'tc_nat',
% 1.48/1.91 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ),
% 1.48/1.91 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.48/1.91 'tc_nat' ), X, 'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex' ) ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), Z ), T ) ) ) ],
% 1.48/1.91 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.48/1.91 'c_HOL_Oplus__class_Oplus'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.48/1.91 'c_Int_OPls', X ) ), Y ), Y ) ],
% 1.48/1.91 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.48/1.91 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_Int_Onumber__class_Onumber__of'(
% 1.48/1.91 'c_Int_OPls', X ) ), Y ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), =( hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), 'c_Finite__Set_Osetsum'( Y, Z, T, X )
% 1.48/1.91 ), U ), 'c_Finite__Set_Osetsum'( 'c_COMBC'( 'c_COMBB'(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), Y, X, 'tc_fun'( X, X ), T ), U, T, X,
% 1.48/1.91 X ), Z, T, X ) ) ],
% 1.48/1.91 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), 'c_Finite__Set_Osetsum'( Y, Z, T, X )
% 1.48/1.91 ), U ), 'c_Finite__Set_Osetsum'( 'c_COMBC'( 'c_COMBB'(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), Y, X, 'tc_fun'( X, X ), T ), U, T, X,
% 1.48/1.91 X ), Z, T, X ) ) ],
% 1.48/1.91 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( hAPP(
% 1.48/1.91 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ), Y ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.48/1.91 'class_Power_Opower'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y
% 1.48/1.91 , 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ),
% 1.48/1.91 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =( hAPP(
% 1.48/1.91 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.48/1.91 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =( hAPP(
% 1.48/1.91 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.48/1.91 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.48/1.91 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ) ), =( T, U ), =( Z,
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.48/1.91 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =( hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), Z ), T ) ) ) ],
% 1.48/1.91 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.48/1.91 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.48/1.91 X ), Y ), Y ) ) ],
% 1.48/1.91 [ =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ),
% 1.48/1.91 'tc_nat' ) ) ],
% 1.48/1.91 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oone__class_Oone'( X )
% 1.48/1.91 , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X )
% 1.48/1.91 ) ],
% 1.48/1.91 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =( hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), Z ) ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ) ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), Z ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ],
% 1.48/1.91 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ) ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.48/1.91 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.48/1.91 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.48/1.91 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.48/1.91 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.48/1.91 ) ) ],
% 1.48/1.91 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.48/1.91 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.48/1.91 ) ) ],
% 1.48/1.91 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.48/1.91 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.48/1.91 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.48/1.91 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.48/1.91 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.48/1.91 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.48/1.91 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), hAPP(
% 1.48/1.91 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ) ],
% 1.48/1.91 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.48/1.91 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.48/1.91 ) ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =( hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.48/1.91 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.48/1.91 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.48/1.91 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.48/1.91 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.48/1.91 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.48/1.91 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.48/1.91 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.48/1.91 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), X ) ), Y ) ), Z ) ) ) ]
% 1.48/1.91 ,
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.48/1.91 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.48/1.91 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.48/1.91 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ) ],
% 1.48/1.91 [ =( 'c_Int_OPls', 'c_Int_OBit0'( 'c_Int_OPls' ) ) ],
% 1.48/1.91 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.48/1.91 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'(
% 1.48/1.91 'tc_nat' ) ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.48/1.91 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ) ],
% 1.48/1.91 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.48/1.91 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.48/1.91 'c_HOL_Oone__class_Oone'( X ) ), 'c_Int_Onumber__class_Onumber__of'(
% 1.48/1.91 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), X ) ) ],
% 1.48/1.91 [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OBit0'( Y ) ) ) ],
% 1.48/1.91 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( Y ), X ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.48/1.91 X ), 'c_HOL_Oone__class_Oone'( X ) ), 'c_Int_Onumber__class_Onumber__of'(
% 1.48/1.91 Y, X ) ) ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ],
% 1.48/1.91 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ),
% 1.48/1.91 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.48/1.91 [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ),
% 1.48/1.91 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.48/1.91 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.48/1.91 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) )
% 1.48/1.91 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ) ],
% 1.48/1.91 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.48/1.91 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ) ) ), =( X, Z
% 1.48/1.91 ) ],
% 1.48/1.91 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.48/1.91 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ), =( Y, Z
% 1.48/1.91 ) ],
% 1.48/1.91 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.48/1.91 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ), =( Y, Z
% 1.48/1.91 ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.48/1.91 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP(
% 1.48/1.91 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 1.48/1.91 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =( hAPP(
% 1.48/1.91 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 1.48/1.91 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 1.48/1.91 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 1.48/1.91 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 1.48/1.91 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), =( Y, T ) ],
% 1.48/1.91 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.48/1.91 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ), hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.48/1.91 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ],
% 1.48/1.91 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_Finite__Set_Osetsum'( Z, T, U
% 1.48/1.91 , X ) ), 'c_Finite__Set_Osetsum'( 'c_COMBB'( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z, X, X, U ), T, U, X ) ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), =( hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_Finite__Set_Osetsum'( Z, T, U
% 1.48/1.91 , X ) ), 'c_Finite__Set_Osetsum'( 'c_COMBB'( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z, X, X, U ), T, U, X ) ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 1.48/1.91 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y )
% 1.48/1.91 , 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.48/1.91 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.48/1.91 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ), =( hAPP( hAPP(
% 1.48/1.91 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), U ) ],
% 1.48/1.91 [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OBit0'( Y ) ) ), =( X, Y ) ],
% 1.48/1.91 [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OPls' ) ), =( X, 'c_Int_OPls' ) ]
% 1.48/1.91 ,
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.48/1.91 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( X ) )
% 1.48/1.91 ],
% 1.48/1.91 [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OPls' ) ) ],
% 1.48/1.91 [ =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' )
% 1.48/1.91 , 'c_FFT__Mirabelle_Oroot'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.48/1.91 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.48/1.91 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ) ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.48/1.91 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ), hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ),
% 1.48/1.91 'c_FFT__Mirabelle_Oroot'( X ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.48/1.91 'tc_nat' ), Y ), Z ) ) ) ],
% 1.48/1.91 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), ~( 'class_Int_Onumber'(
% 1.48/1.91 X ) ), =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( Y, X ) ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.48/1.91 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.48/1.91 X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.48/1.91 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.48/1.91 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), hAPP(
% 1.48/1.91 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ) ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.48/1.91 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.48/1.91 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.48/1.91 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.48/1.91 [ ~( =( 'c_Int_OPls', 'c_Int_OBit1'( X ) ) ) ],
% 1.48/1.91 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), Y ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 1.48/1.91 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.48/1.91 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ) ), =( Y
% 1.48/1.91 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, Z ) ],
% 1.48/1.91 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.48/1.91 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ), =( X
% 1.48/1.91 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y, Z ) ],
% 1.48/1.91 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.48/1.91 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ), =( Y
% 1.48/1.91 , Z ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.48/1.91 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.48/1.91 X ), 'c_HOL_Oone__class_Oone'( X ) ), 'c_HOL_Oone__class_Oone'( X ) ) ),
% 1.48/1.91 Y ) ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), Y ), 'c_HOL_Oone__class_Oone'(
% 1.48/1.91 'tc_nat' ) ), Y ) ],
% 1.48/1.91 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), Y ), 'c_HOL_Oone__class_Oone'(
% 1.48/1.91 'tc_nat' ) ), Y ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.48/1.91 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ),
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_Int_Onumber__class_Onumber__of'(
% 1.48/1.91 Y, 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.48/1.91 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.48/1.91 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.48/1.91 ), =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ),
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.48/1.91 , 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ) ), =(
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.48/1.91 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.48/1.91 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.48/1.91 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ), 'tc_nat' ), 'tc_nat', X ), hAPP(
% 1.48/1.91 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_Finite__Set_Osetsum'( 'c_COMBB'(
% 1.48/1.91 Y, hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.48/1.91 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', X, 'tc_nat' ),
% 1.48/1.91 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.48/1.91 'tc_nat' ), Z, 'tc_nat' ), 'tc_nat', X ) ), 'c_Finite__Set_Osetsum'(
% 1.48/1.91 'c_COMBB'( Y, 'c_COMBC'( 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'( 'tc_nat'
% 1.48/1.91 ), hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.48/1.91 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_fun'( 'tc_nat', 'tc_nat' )
% 1.48/1.91 , 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat', 'tc_nat',
% 1.48/1.91 'tc_nat' ), 'tc_nat', X, 'tc_nat' ),
% 1.48/1.91 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.48/1.91 'tc_nat' ), Z, 'tc_nat' ), 'tc_nat', X ) ) ) ],
% 1.48/1.91 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), T ) ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ) ) ), =( Y, T ), =( X
% 1.48/1.91 , Z ) ],
% 1.48/1.91 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), T ) ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ) ) ), =( Y, T ), =( X
% 1.48/1.91 , Z ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.48/1.91 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.48/1.91 X ), Y ), U ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.48/1.91 ) ) ), =( Z, U ), =( Y, T ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.48/1.91 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.48/1.91 X ), Y ), U ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.48/1.91 ) ) ), =( Z, U ), =( Y, T ) ],
% 1.48/1.91 [ ~( =( X, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y
% 1.48/1.91 ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 1.48/1.91 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.48/1.91 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.48/1.91 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.48/1.91 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.48/1.91 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.48/1.91 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.48/1.91 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.48/1.91 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ),
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.48/1.91 'tc_nat' ) ) ],
% 1.48/1.91 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.48/1.91 'tc_nat' ) ) ],
% 1.48/1.91 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.48/1.91 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.48/1.91 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.48/1.91 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.48/1.91 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =( hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.48/1.91 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =( hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.48/1.91 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =( hAPP(
% 1.48/1.91 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.48/1.91 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =( hAPP(
% 1.48/1.91 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.48/1.91 X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.48/1.91 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.48/1.91 X ), Y ), Z ) ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.48/1.91 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Oone__class_Oone'( X )
% 1.48/1.91 ) ), Z ) ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.48/1.91 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.48/1.91 X ), Z ), 'c_HOL_Oone__class_Oone'( X ) ) ), Y ) ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), ~( 'class_Int_Onumber'(
% 1.48/1.91 X ) ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( T, X ) ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.48/1.91 X ), Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), Z ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.48/1.91 'c_Int_OPls' ) ), 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y
% 1.48/1.91 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.48/1.91 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ),
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.48/1.91 [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', 'tc_nat' ),
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.48/1.91 [ =( 'c_Int_OBit0'( 'c_Int_OPls' ), 'c_Int_OPls' ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =( hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.48/1.91 'c_Int_OPls' ) ), 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.48/1.91 'c_Int_OPls' ) ), 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( hAPP(
% 1.48/1.91 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( X ) ) ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( X ) ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.48/1.91 ,
% 1.48/1.91 [ =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', 'tc_nat' ) ) ],
% 1.48/1.91 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ozero__class_Ozero'( X
% 1.48/1.91 ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ) ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP( hAPP(
% 1.48/1.91 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.48/1.91 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.48/1.91 'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.48/1.91 ,
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ), hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.48/1.91 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ],
% 1.48/1.91 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), T ) ) ],
% 1.48/1.91 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.48/1.91 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.48/1.91 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), U ), T ), 'tc_nat' ), 'tc_nat', X
% 1.48/1.91 ), 'c_Finite__Set_Osetsum'( 'c_COMBB'( Y, 'c_COMBC'(
% 1.48/1.91 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), T, 'tc_nat', 'tc_nat', 'tc_nat' )
% 1.48/1.91 , 'tc_nat', X, 'tc_nat' ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.48/1.91 Z, U, 'tc_nat' ), 'tc_nat', X ) ) ],
% 1.48/1.91 [ ~( =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ), =( Y,
% 1.48/1.91 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.48/1.91 [ ~( =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ), =( X,
% 1.48/1.91 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.48/1.91 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP(
% 1.48/1.91 hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), T ) ) ) ), =( Z, T ), =( Y
% 1.48/1.91 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.48/1.91 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 1.48/1.91 'tc_nat' ) ), Y ) ) ],
% 1.48/1.91 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ),
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.48/1.91 'tc_nat' ) ) ) ],
% 1.48/1.91 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.48/1.91 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ), 'tc_nat' ), 'tc_nat', X
% 1.48/1.91 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_Finite__Set_Osetsum'(
% 1.48/1.91 'c_COMBB'( Y, 'c_COMBC'( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), T,
% 1.48/1.91 'tc_nat', 'tc_nat', 'tc_nat' ), 'tc_nat', X, 'tc_nat' ),
% 1.48/1.91 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.48/1.91 'tc_nat' ), Z, 'tc_nat' ), 'tc_nat', X ) ), 'c_Finite__Set_Osetsum'( Y,
% 1.48/1.91 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.48/1.91 'tc_nat' ), T, 'tc_nat' ), 'tc_nat', X ) ) ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( hAPP( hAPP(
% 1.48/1.91 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.48/1.91 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.48/1.91 'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.48/1.91 =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( hAPP( hAPP(
% 1.48/1.91 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.48/1.91 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.48/1.91 'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.48/1.91 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.48/1.91 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y
% 1.48/1.91 ), 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.48/1.91 'tc_nat' ) ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.48/1.91 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.48/1.91 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.48/1.91 ), =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ),
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( X ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.48/1.91 , =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.48/1.91 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.48/1.91 [ ~( 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.48/1.91 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~(
% 1.48/1.91 =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ),
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.48/1.91 ) ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.48/1.91 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.48/1.91 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.48/1.91 ), ~( =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ),
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.48/1.91 ) ) ],
% 1.48/1.91 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( hAPP(
% 1.48/1.91 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ],
% 1.48/1.91 [ =( 'c_Finite__Set_Osetsum'( 'c_COMBS'( 'c_COMBB'(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( 'tc_Complex_Ocomplex' ), 'c_COMBB'( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ),
% 1.48/1.91 'c_FFT__Mirabelle_Oroot'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.48/1.91 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.48/1.91 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), 'v_m' ) ) ), hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'v_i' ), 'tc_nat',
% 1.48/1.91 'tc_Complex_Ocomplex', 'tc_nat' ), 'tc_Complex_Ocomplex', 'tc_fun'(
% 1.48/1.91 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ), 'tc_nat' ), 'v_a',
% 1.48/1.91 'tc_nat', 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ),
% 1.48/1.91 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.48/1.91 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.48/1.91 'c_Int_OPls' ) ), 'tc_nat' ) ), 'v_m' ), 'tc_nat' ), 'tc_nat',
% 1.48/1.91 'tc_Complex_Ocomplex' ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.48/1.91 'tc_Complex_Ocomplex' ), 'c_Finite__Set_Osetsum'( 'c_COMBS'( 'c_COMBB'(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( 'tc_Complex_Ocomplex' ), 'c_COMBB'( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ),
% 1.48/1.91 'c_FFT__Mirabelle_Oroot'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.48/1.91 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.48/1.91 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), 'v_m' ) ) ), 'c_COMBB'(
% 1.48/1.91 hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'v_i' ), hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.48/1.91 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_nat', 'tc_nat' ), 'tc_nat'
% 1.48/1.91 , 'tc_Complex_Ocomplex', 'tc_nat' ), 'tc_Complex_Ocomplex', 'tc_fun'(
% 1.48/1.91 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ), 'tc_nat' ), 'c_COMBB'(
% 1.48/1.91 'v_a', hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.48/1.91 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat'
% 1.48/1.91 ), 'tc_nat', 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ),
% 1.48/1.91 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.48/1.91 'tc_nat' ), 'v_m', 'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex' ) ),
% 1.48/1.91 'c_Finite__Set_Osetsum'( 'c_COMBS'( 'c_COMBB'(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( 'tc_Complex_Ocomplex' ), 'c_COMBB'( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ),
% 1.48/1.91 'c_FFT__Mirabelle_Oroot'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.48/1.91 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.48/1.91 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), 'v_m' ) ) ), 'c_COMBB'(
% 1.48/1.91 hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'v_i' ), 'c_COMBC'(
% 1.48/1.91 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.48/1.91 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_fun'( 'tc_nat', 'tc_nat' )
% 1.48/1.91 , 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat', 'tc_nat',
% 1.48/1.91 'tc_nat' ), 'tc_nat', 'tc_nat', 'tc_nat' ), 'tc_nat',
% 1.48/1.91 'tc_Complex_Ocomplex', 'tc_nat' ), 'tc_Complex_Ocomplex', 'tc_fun'(
% 1.48/1.91 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ), 'tc_nat' ), 'c_COMBB'(
% 1.48/1.91 'v_a', 'c_COMBC'( 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.48/1.91 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_fun'( 'tc_nat', 'tc_nat' )
% 1.48/1.91 , 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat', 'tc_nat',
% 1.48/1.91 'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat' ), 'tc_nat',
% 1.48/1.91 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ),
% 1.48/1.91 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.48/1.91 'tc_nat' ), 'v_m', 'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex' ) ) ) ]
% 1.48/1.91 ,
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), T ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), U ) ) ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), Z ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ) ) ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 1.48/1.91 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.48/1.91 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.48/1.91 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.48/1.91 ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( =( hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ),
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 1.48/1.91 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 1.48/1.91 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =( hAPP(
% 1.48/1.91 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 1.48/1.91 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =( hAPP(
% 1.48/1.91 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.48/1.91 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.48/1.91 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X,
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =( hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.48/1.91 'c_Int_OPls' ) ), 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.48/1.91 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X,
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.48/1.91 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.48/1.91 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.48/1.91 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ),
% 1.48/1.91 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.48/1.91 ) ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 1.48/1.91 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ) ) ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.48/1.91 X ) ), ~( =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) )
% 1.48/1.91 , =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.48/1.91 [ ~( =( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y )
% 1.48/1.91 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.48/1.91 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), X
% 1.48/1.91 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.48/1.91 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.48/1.91 'c_Int_OBit1'( 'c_Int_OPls' ), X ) ), Y ), Y ) ],
% 1.48/1.91 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ) )
% 1.48/1.91 , Y ) ],
% 1.48/1.91 [ =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'c_HOL_Oone__class_Oone'(
% 1.48/1.91 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ],
% 1.48/1.91 [ ~( =( 'c_Int_OPls', 'c_Int_OBit0'( X ) ) ), =( 'c_Int_OPls', X ) ]
% 1.48/1.91 ,
% 1.48/1.91 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.48/1.91 X ), 'c_HOL_Oone__class_Oone'( X ) ), 'c_HOL_Oone__class_Oone'( X ) ) ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( Y, X ) ),
% 1.48/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( Y ), X ) ) ],
% 1.48/1.91 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.48/1.91 Y ) ],
% 1.48/1.91 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ),
% 1.48/1.91 Y ) ],
% 1.48/1.91 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =( hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ),
% 1.48/1.91 Y ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.48/1.91 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ),
% 1.48/1.91 Y ) ],
% 1.48/1.91 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.48/1.91 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), X ), X ) ],
% 1.48/1.91 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ),
% 1.48/1.91 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), X ) ],
% 1.48/1.91 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.51/1.91 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.51/1.91 Y ) ],
% 1.51/1.91 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.51/1.91 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ),
% 1.51/1.91 Y ) ],
% 1.51/1.91 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.51/1.91 X ) ), =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.51/1.91 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.51/1.91 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.51/1.91 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.51/1.91 X ), Y ), T ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z )
% 1.51/1.91 ) ) ],
% 1.51/1.91 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.51/1.91 X ) ), =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.51/1.91 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.51/1.91 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.51/1.91 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.51/1.91 X ), Y ), T ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z )
% 1.51/1.91 ) ) ],
% 1.51/1.91 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.51/1.91 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.51/1.91 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.51/1.91 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.51/1.91 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.51/1.91 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.51/1.91 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.51/1.91 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.51/1.91 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.51/1.91 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.51/1.91 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.51/1.91 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.51/1.91 [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OBit1'( Y ) ) ), =( X, Y ) ],
% 1.51/1.91 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.51/1.91 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.51/1.91 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.51/1.91 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.51/1.91 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ) ) ],
% 1.51/1.91 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.51/1.91 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.51/1.91 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ) ],
% 1.51/1.91 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.51/1.91 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.51/1.91 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.51/1.91 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 1.51/1.91 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.51/1.91 , 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.51/1.91 ,
% 1.51/1.91 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.51/1.91 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), X ) ) ],
% 1.51/1.91 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.51/1.91 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.51/1.91 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ) ],
% 1.51/1.91 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.51/1.91 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.51/1.91 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.51/1.91 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.51/1.91 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.51/1.91 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.51/1.91 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.51/1.91 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.51/1.91 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.51/1.91 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.51/1.91 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.51/1.91 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.51/1.91 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.51/1.91 X ), Y ), Z ) ), T ) ) ],
% 1.51/1.91 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.51/1.91 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.51/1.91 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.51/1.91 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.51/1.91 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.51/1.91 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.51/1.91 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.51/1.91 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.51/1.91 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.51/1.91 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.51/1.91 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 1.51/1.91 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), hAPP( hAPP(
% 1.51/1.91 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ) ],
% 1.51/1.91 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =( hAPP( hAPP(
% 1.51/1.91 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.51/1.91 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.51/1.91 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.51/1.91 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.51/1.91 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.51/1.91 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.51/1.91 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.51/1.91 X ), Y ), Z ) ), T ) ) ],
% 1.51/1.91 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.51/1.91 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.51/1.91 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.51/1.91 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ) ],
% 1.51/1.91 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.51/1.91 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.51/1.91 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.51/1.91 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.51/1.91 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.51/1.91 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.51/1.91 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.51/1.91 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.51/1.91 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.51/1.91 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.51/1.91 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.51/1.91 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP(
% 1.51/1.91 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.51/1.91 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.51/1.91 'c_Power_Opower__class_Opower'( X ), Y ), T ) ) ) ],
% 1.51/1.91 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.51/1.91 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.51/1.91 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.51/1.91 ), ~( =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.51/1.91 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.51/1.91 ) ) ],
% 1.51/1.91 [ =( hAPP( 'c_COMBB'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) ) ) ]
% 1.51/1.91 ,
% 1.51/1.91 [ =( hAPP( 'c_COMBC'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), Y ) ) ]
% 1.51/1.91 ,
% 1.51/1.91 [ =( hAPP( 'c_COMBS'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), hAPP( Y
% 1.51/1.91 , W ) ) ) ],
% 1.51/1.91 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.51/1.91 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ), =( X, 'c_HOL_Oone__class_Oone'(
% 1.51/1.91 'tc_nat' ) ) ],
% 1.51/1.91 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.51/1.91 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ), =( Y, 'c_HOL_Oone__class_Oone'(
% 1.51/1.91 'tc_nat' ) ) ],
% 1.51/1.91 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), ~( 'class_Int_Onumber'(
% 1.51/1.91 X ) ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.51/1.91 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), hAPP( hAPP(
% 1.51/1.91 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.51/1.91 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.51/1.91 X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), Z ) ), hAPP( hAPP(
% 1.51/1.91 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.51/1.91 , X ) ), T ) ) ) ],
% 1.51/1.91 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.51/1.91 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.51/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.51/1.91 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.51/1.91 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), Y ) ) ]
% 1.51/1.91 ,
% 1.51/1.91 [ ~( 'class_Int_Oring__char__0'( X ) ), ~( 'class_Int_Onumber__ring'( X
% 1.51/1.91 ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.51/1.91 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =( Y, Z ) ],
% 1.51/1.91 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.51/1.91 'c_Finite__Set_Osetsum'( 'c_COMBS'( 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'(
% 1.51/1.91 X ), Y, X, 'tc_fun'( X, X ), Z ), T, Z, X, X ), U, Z, X ), hAPP( hAPP(
% 1.51/1.91 'c_HOL_Oplus__class_Oplus'( X ), 'c_Finite__Set_Osetsum'( Y, U, Z, X ) )
% 1.51/1.91 , 'c_Finite__Set_Osetsum'( T, U, Z, X ) ) ) ],
% 1.51/1.91 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =( hAPP( hAPP(
% 1.51/1.91 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.51/1.91 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.51/1.91 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ), U ) ), hAPP( hAPP(
% 1.51/1.91 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.51/1.91 X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ), U )
% 1.51/1.91 ) ],
% 1.51/1.91 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.51/1.91 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.51/1.91 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.51/1.91 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ), T ) ), hAPP( hAPP(
% 1.51/1.91 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.51/1.91 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.51/1.91 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ), Y ) ), T ) ) ],
% 1.51/1.91 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.51/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( Y ), X ), hAPP( hAPP(
% 1.51/1.91 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.51/1.91 X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.51/1.91 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ),
% 1.51/1.91 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ],
% 1.51/1.91 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.51/1.91 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.51/1.91 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.51/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.51/1.91 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ), hAPP( hAPP(
% 1.51/1.91 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.51/1.91 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.51/1.91 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 1.51/1.91 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.51/1.91 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.51/1.91 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.51/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit0'(
% 1.51/1.91 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat' ), 'tc_nat' ), 'tc_nat', X )
% 1.51/1.91 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.51/1.91 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.51/1.91 X ), hAPP( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), hAPP( Y,
% 1.51/1.91 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ), hAPP( Y,
% 1.51/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.51/1.91 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ), hAPP( Y,
% 1.51/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.51/1.91 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ) ],
% 1.51/1.91 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ),
% 1.51/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.51/1.91 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.51/1.91 'tc_nat' ), X ), X ) ) ],
% 1.51/1.91 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.51/1.91 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.51/1.91 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), X ) ), Y ), hAPP( hAPP(
% 1.51/1.91 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ) ) ],
% 1.51/1.91 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.51/1.91 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.51/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.51/1.91 'c_Int_OPls' ) ), X ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y )
% 1.51/1.91 , Y ) ) ],
% 1.51/1.91 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.51/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.51/1.91 'c_Int_OPls' ) ), 'tc_nat' ) ), X ), hAPP( hAPP(
% 1.51/1.91 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), X ) ) ],
% 1.51/1.91 [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OBit1'( Y ) ) ) ],
% 1.51/1.91 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.51/1.91 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'(
% 1.51/1.91 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.51/1.91 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 1.51/1.91 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.51/1.91 Y ) ],
% 1.51/1.91 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 1.51/1.91 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 1.51/1.91 Y ) ],
% 1.51/1.91 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.51/1.91 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.51/1.91 Y ) ],
% 1.51/1.91 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.51/1.91 X ) ), =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.51/1.91 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.51/1.91 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.51/1.91 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 1.51/1.91 Y ) ],
% 1.51/1.91 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.51/1.91 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 1.51/1.91 Y ) ],
% 1.51/1.91 [ =( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 1.51/1.91 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.51/1.91 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 1.51/1.91 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ) ],
% 1.51/1.91 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.51/1.91 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), X ) ],
% 1.51/1.91 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.51/1.91 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.51/1.91 Y ) ],
% 1.51/1.91 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.51/1.91 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 1.51/1.91 Y ) ],
% 1.51/1.91 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.51/1.91 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.51/1.91 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.51/1.91 ), ~( =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.51/1.91 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ),
% 1.51/1.91 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.51/1.91 ) ) ],
% 1.51/1.91 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_Complex_Ocomplex' )
% 1.51/1.91 , 'c_Finite__Set_Osetsum'( 'c_COMBS'( 'c_COMBB'(
% 1.51/1.91 'c_HOL_Otimes__class_Otimes'( 'tc_Complex_Ocomplex' ), 'c_COMBB'( hAPP(
% 1.51/1.91 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ),
% 1.51/1.91 'c_FFT__Mirabelle_Oroot'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.51/1.91 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.51/1.91 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), 'v_m' ) ) ), 'c_COMBB'(
% 1.51/1.91 hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'v_i' ), hAPP(
% 1.51/1.91 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.51/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.51/1.91 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_nat', 'tc_nat' ), 'tc_nat'
% 1.51/1.91 , 'tc_Complex_Ocomplex', 'tc_nat' ), 'tc_Complex_Ocomplex', 'tc_fun'(
% 1.51/1.91 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ), 'tc_nat' ), 'c_COMBB'(
% 1.51/1.91 'v_a', hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.51/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.51/1.91 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat'
% 1.51/1.91 ), 'tc_nat', 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ),
% 1.51/1.91 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.51/1.91 'tc_nat' ), 'v_m', 'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex' ) ),
% 1.51/1.91 'c_Finite__Set_Osetsum'( 'c_COMBS'( 'c_COMBB'(
% 1.51/1.91 'c_HOL_Otimes__class_Otimes'( 'tc_Complex_Ocomplex' ), 'c_COMBB'( hAPP(
% 1.51/1.91 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ),
% 1.51/1.91 'c_FFT__Mirabelle_Oroot'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.51/1.91 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.51/1.91 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), 'v_m' ) ) ), 'c_COMBB'(
% 1.51/1.91 hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'v_i' ), 'c_COMBC'(
% 1.51/1.91 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP(
% 1.51/1.91 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.51/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.51/1.91 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_fun'( 'tc_nat', 'tc_nat' )
% 1.51/1.91 , 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat', 'tc_nat',
% 1.51/1.91 'tc_nat' ), 'tc_nat', 'tc_nat', 'tc_nat' ), 'tc_nat',
% 1.51/1.91 'tc_Complex_Ocomplex', 'tc_nat' ), 'tc_Complex_Ocomplex', 'tc_fun'(
% 1.51/1.91 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ), 'tc_nat' ), 'c_COMBB'(
% 1.51/1.91 'v_a', 'c_COMBC'( 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP(
% 1.51/1.91 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.51/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.51/1.91 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_fun'( 'tc_nat', 'tc_nat' )
% 1.51/1.91 , 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat', 'tc_nat',
% 1.51/1.91 'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat' ), 'tc_nat',
% 1.51/1.91 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ),
% 1.51/1.91 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.51/1.91 'tc_nat' ), 'v_m', 'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex' ) ), hAPP(
% 1.51/1.91 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_Complex_Ocomplex' ),
% 1.51/1.91 'c_Finite__Set_Osetsum'( 'c_COMBS'( 'c_COMBB'(
% 1.51/1.91 'c_HOL_Otimes__class_Otimes'( 'tc_Complex_Ocomplex' ), 'c_COMBB'( hAPP(
% 1.51/1.91 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ),
% 1.51/1.91 'c_FFT__Mirabelle_Oroot'( 'v_m' ) ), hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.51/1.91 'tc_nat' ), 'v_i' ), 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat' ),
% 1.51/1.91 'tc_Complex_Ocomplex', 'tc_fun'( 'tc_Complex_Ocomplex',
% 1.51/1.91 'tc_Complex_Ocomplex' ), 'tc_nat' ), 'c_COMBB'( 'v_a', hAPP(
% 1.51/1.91 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.51/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.51/1.91 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat'
% 1.51/1.91 ), 'tc_nat', 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ),
% 1.51/1.91 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.51/1.91 'tc_nat' ), 'v_m', 'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex' ) ), hAPP(
% 1.51/1.91 hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_Complex_Ocomplex' ), hAPP( hAPP(
% 1.51/1.91 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ),
% 1.51/1.91 'c_FFT__Mirabelle_Oroot'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.51/1.91 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.51/1.91 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), 'v_m' ) ) ), 'v_i' ) ),
% 1.51/1.91 'c_Finite__Set_Osetsum'( 'c_COMBS'( 'c_COMBB'(
% 1.51/1.91 'c_HOL_Otimes__class_Otimes'( 'tc_Complex_Ocomplex' ), 'c_COMBB'( hAPP(
% 1.51/1.91 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ),
% 1.51/1.91 'c_FFT__Mirabelle_Oroot'( 'v_m' ) ), hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.51/1.91 'tc_nat' ), 'v_i' ), 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat' ),
% 1.51/1.91 'tc_Complex_Ocomplex', 'tc_fun'( 'tc_Complex_Ocomplex',
% 1.51/1.91 'tc_Complex_Ocomplex' ), 'tc_nat' ), 'c_COMBB'( 'v_a', 'c_COMBC'(
% 1.51/1.91 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP(
% 1.51/1.91 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.51/1.91 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.51/1.91 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_fun'( 'tc_nat', 'tc_nat' )
% 1.51/1.91 , 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat', 'tc_nat',
% 1.51/1.91 'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat' ), 'tc_nat',
% 1.51/1.91 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ),
% 1.51/1.91 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.51/1.91 'tc_nat' ), 'v_m', 'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex' ) ) ) ) )
% 1.51/1.91 ],
% 1.51/1.91 [ 'class_Lattices_Oboolean__algebra'( 'tc_fun'( X, Y ) ), ~(
% 1.51/1.91 'class_Lattices_Oboolean__algebra'( Y ) ) ],
% 1.51/1.91 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 1.51/1.91 'class_Orderings_Opreorder'( Y ) ) ],
% 1.51/1.91 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 1.51/1.91 'class_Orderings_Oorder'( Y ) ) ],
% 1.51/1.91 [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Obot'(
% 1.51/1.91 Y ) ) ],
% 1.51/1.91 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 1.51/1.91 ],
% 1.51/1.91 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 1.51/1.91 ) ],
% 1.51/1.91 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 1.51/1.91 ],
% 1.51/1.91 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_nat' ) ]
% 1.51/1.91 ,
% 1.51/1.91 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 1.51/1.91 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 1.51/1.91 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 1.51/1.91 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 1.51/1.91 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 1.51/1.91 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' ) ],
% 1.51/1.91 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_nat' ) ],
% 1.51/1.91 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 1.51/1.91 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 1.51/1.91 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 1.51/1.91 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_nat' ) ],
% 1.51/1.91 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 1.51/1.91 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 1.51/1.91 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 1.51/1.91 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 1.51/1.91 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 1.51/1.91 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 1.51/1.91 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ],
% 1.51/1.91 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ],
% 1.51/1.91 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_nat' ) ],
% 1.51/1.91 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 1.51/1.91 [ 'class_Ring__and__Field_Omult__mono'( 'tc_nat' ) ],
% 1.51/1.91 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 1.51/1.91 [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 1.51/1.91 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 1.51/1.91 [ 'class_Divides_Osemiring__div'( 'tc_nat' ) ],
% 1.51/1.91 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 1.51/1.91 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 1.51/1.91 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 1.51/1.91 [ 'class_Orderings_Obot'( 'tc_nat' ) ],
% 1.51/1.91 [ 'class_Power_Opower'( 'tc_nat' ) ],
% 1.51/1.91 [ 'class_Int_Onumber'( 'tc_nat' ) ],
% 1.51/1.91 [ 'class_Lattices_Oboolean__algebra'( 'tc_bool' ) ],
% 1.51/1.91 [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 1.51/1.91 [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 1.51/1.91 [ 'class_Orderings_Obot'( 'tc_bool' ) ],
% 1.51/1.91 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 1.51/1.91 'tc_Int_Oint' ) ],
% 1.51/1.91 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 1.51/1.91 'tc_Int_Oint' ) ],
% 1.51/1.91 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 1.51/1.91 'tc_Int_Oint' ) ],
% 1.51/1.91 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_Int_Oint' )
% 1.51/1.91 ],
% 1.51/1.91 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'( 'tc_Int_Oint' )
% 1.51/1.91 ],
% 1.51/1.91 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_Int_Oint' ) ]
% 1.51/1.91 ,
% 1.51/1.91 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_Int_Oint' ) ]
% 1.51/1.91 ,
% 1.51/1.91 [ 'class_OrderedGroup_Opordered__ab__group__add__abs'( 'tc_Int_Oint' ) ]
% 1.51/1.91 ,
% 1.51/1.91 [ 'class_OrderedGroup_Olordered__ab__group__add__abs'( 'tc_Int_Oint' ) ]
% 1.51/1.91 ,
% 1.51/1.91 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_Int_Oint' ) ]
% 1.51/1.91 ,
% 1.51/1.91 [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_Int_Oint' ) ]
% 1.51/1.91 ,
% 1.51/1.91 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_Int_Oint' ) ]
% 1.51/1.91 ,
% 1.51/1.91 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_Int_Oint' ) ]
% 1.51/1.91 ,
% 1.51/1.91 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.51/1.91 [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.51/1.91 [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.51/1.91 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Int_Oint' ) ],
% 1.51/1.91 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_Int_Oint' ) ],
% 1.51/1.91 [ 'class_Ring__and__Field_Opordered__ring__abs'( 'tc_Int_Oint' ) ],
% 1.51/1.91 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_Int_Oint' ) ],
% 1.51/1.91 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Int_Oint' ) ],
% 1.51/1.91 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_Int_Oint' ) ],
% 1.51/1.91 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Int_Oint' ) ],
% 1.51/1.91 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_Int_Oint' ) ],
% 1.51/1.91 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Int_Oint' ) ],
% 1.51/1.91 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Int_Oint' ) ],
% 1.51/1.91 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Int_Oint' ) ],
% 1.51/1.91 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_Int_Oint' ) ],
% 1.51/1.91 [ 'class_Ring__and__Field_Olordered__ring'( 'tc_Int_Oint' ) ],
% 1.51/1.91 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Int_Oint' ) ],
% 1.51/1.91 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Int_Oint' ) ],
% 1.51/1.91 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Int_Oint' ) ],
% 1.51/1.91 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_Int_Oint' ) ],
% 1.51/1.91 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Int_Oint' ) ],
% 1.51/1.91 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_Int_Oint' ) ],
% 1.51/1.91 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_Int_Oint' ) ],
% 1.51/1.91 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_Int_Oint' ) ],
% 1.51/1.91 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Int_Oint' ) ],
% 1.51/1.92 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Int_Oint' ) ],
% 1.51/1.92 [ 'class_Ring__and__Field_Omult__mono'( 'tc_Int_Oint' ) ],
% 1.51/1.92 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_Int_Oint' ) ],
% 1.51/1.92 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Int_Oint' ) ],
% 1.51/1.92 [ 'class_Ring__and__Field_Osemiring'( 'tc_Int_Oint' ) ],
% 1.51/1.92 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Int_Oint' ) ],
% 1.51/1.92 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Int_Oint' ) ],
% 1.51/1.92 [ 'class_Ring__and__Field_Oring__1'( 'tc_Int_Oint' ) ],
% 1.51/1.92 [ 'class_Ring__and__Field_Oabs__if'( 'tc_Int_Oint' ) ],
% 1.51/1.92 [ 'class_Divides_Osemiring__div'( 'tc_Int_Oint' ) ],
% 1.51/1.92 [ 'class_Ring__and__Field_Oring'( 'tc_Int_Oint' ) ],
% 1.51/1.92 [ 'class_Ring__and__Field_Oidom'( 'tc_Int_Oint' ) ],
% 1.51/1.92 [ 'class_Orderings_Opreorder'( 'tc_Int_Oint' ) ],
% 1.51/1.92 [ 'class_Orderings_Olinorder'( 'tc_Int_Oint' ) ],
% 1.51/1.92 [ 'class_Divides_Oring__div'( 'tc_Int_Oint' ) ],
% 1.51/1.92 [ 'class_Orderings_Oorder'( 'tc_Int_Oint' ) ],
% 1.51/1.92 [ 'class_Int_Oring__char__0'( 'tc_Int_Oint' ) ],
% 1.51/1.92 [ 'class_Int_Onumber__ring'( 'tc_Int_Oint' ) ],
% 1.51/1.92 [ 'class_Power_Opower'( 'tc_Int_Oint' ) ],
% 1.51/1.92 [ 'class_Int_Onumber'( 'tc_Int_Oint' ) ],
% 1.51/1.92 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 1.51/1.92 'tc_Complex_Ocomplex' ) ],
% 1.51/1.92 [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 1.51/1.92 'tc_Complex_Ocomplex' ) ],
% 1.51/1.92 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 1.51/1.92 'tc_Complex_Ocomplex' ) ],
% 1.51/1.92 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Complex_Ocomplex' )
% 1.51/1.92 ],
% 1.51/1.92 [ 'class_RealVector_Oreal__normed__algebra__1'( 'tc_Complex_Ocomplex' )
% 1.51/1.92 ],
% 1.51/1.92 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Complex_Ocomplex' )
% 1.51/1.92 ],
% 1.51/1.92 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_Complex_Ocomplex' )
% 1.51/1.92 ],
% 1.51/1.92 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Complex_Ocomplex' ) ]
% 1.51/1.92 ,
% 1.51/1.92 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_Complex_Ocomplex' ) ]
% 1.51/1.92 ,
% 1.51/1.92 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_Complex_Ocomplex' ) ]
% 1.51/1.92 ,
% 1.51/1.92 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Complex_Ocomplex' ) ]
% 1.51/1.92 ,
% 1.51/1.92 [ 'class_RealVector_Oreal__normed__vector'( 'tc_Complex_Ocomplex' ) ]
% 1.51/1.92 ,
% 1.51/1.92 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Complex_Ocomplex' ) ]
% 1.51/1.92 ,
% 1.51/1.92 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Complex_Ocomplex' ) ]
% 1.51/1.92 ,
% 1.51/1.92 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Complex_Ocomplex' ) ]
% 1.51/1.92 ,
% 1.51/1.92 [ 'class_RealVector_Oreal__normed__field'( 'tc_Complex_Ocomplex' ) ]
% 1.51/1.92 ,
% 1.51/1.92 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Complex_Ocomplex' ) ]
% 1.51/1.92 ,
% 1.51/1.92 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Complex_Ocomplex' ) ]
% 1.51/1.92 ,
% 1.51/1.92 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Complex_Ocomplex' ) ]
% 1.51/1.92 ,
% 1.51/1.92 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_Complex_Ocomplex' ) ],
% 1.51/1.92 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_Complex_Ocomplex' ) ],
% 1.51/1.92 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Complex_Ocomplex' ) ],
% 1.51/1.92 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Complex_Ocomplex' ) ],
% 1.51/1.92 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_Complex_Ocomplex' ) ],
% 1.51/1.92 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Complex_Ocomplex' ) ],
% 1.51/1.92 [ 'class_Ring__and__Field_Osemiring'( 'tc_Complex_Ocomplex' ) ],
% 1.51/1.92 [ 'class_RealVector_Ometric__space'( 'tc_Complex_Ocomplex' ) ],
% 1.51/1.92 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Complex_Ocomplex' ) ],
% 1.51/1.92 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Complex_Ocomplex' ) ],
% 1.51/1.92 [ 'class_Ring__and__Field_Oring__1'( 'tc_Complex_Ocomplex' ) ],
% 1.51/1.92 [ 'class_RealVector_Oreal__field'( 'tc_Complex_Ocomplex' ) ],
% 1.51/1.92 [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex' ) ],
% 1.51/1.92 [ 'class_Ring__and__Field_Oring'( 'tc_Complex_Ocomplex' ) ],
% 1.51/1.92 [ 'class_Ring__and__Field_Oidom'( 'tc_Complex_Ocomplex' ) ],
% 1.51/1.92 [ 'class_Int_Oring__char__0'( 'tc_Complex_Ocomplex' ) ],
% 1.51/1.92 [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ],
% 1.51/1.92 [ 'class_Power_Opower'( 'tc_Complex_Ocomplex' ) ],
% 1.51/1.92 [ 'class_Int_Onumber'( 'tc_Complex_Ocomplex' ) ],
% 1.51/1.92 [ =( hAPP( 'c_COMBS'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), hAPP( Y
% 1.51/1.92 , W ) ) ) ],
% 1.51/1.92 [ =( hAPP( 'c_COMBC'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), Y ) ) ]
% 1.51/1.92 ,
% 1.51/1.92 [ =( hAPP( 'c_COMBB'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) ) ) ]
% 1.51/1.92 ,
% 1.51/1.92 [ 'c_fequal'( X, X, Y ) ],
% 1.51/1.92 [ =( X, Y ), ~( 'c_fequal'( X, Y, Z ) ) ]
% 1.51/1.92 ] .
% 1.51/1.92
% 1.51/1.92
% 1.51/1.92 percentage equality = 0.242105, percentage horn = 0.853525
% 1.51/1.92 This is a problem with some equality
% 1.51/1.92
% 1.51/1.92
% 1.51/1.92
% 1.51/1.92 Options Used:
% 1.51/1.92
% 1.51/1.92 useres = 1
% 1.51/1.92 useparamod = 1
% 1.51/1.92 useeqrefl = 1
% 1.51/1.92 useeqfact = 1
% 1.51/1.92 usefactor = 1
% 1.51/1.92 usesimpsplitting = 0
% 1.51/1.92 usesimpdemod = 5
% 1.51/1.92 usesimpres = 3
% 1.51/1.92
% 1.51/1.92 resimpinuse = 1000
% 1.51/1.92 resimpclauses = 20000
% 1.51/1.92 substype = eqrewr
% 1.51/1.92 backwardsubs = 1
% 1.51/1.92 selectoldest = 5
% 1.51/1.92
% 1.51/1.92 litorderings [0] = split
% 1.51/1.92 litorderings [1] = extend the termordering, first sorting on arguments
% 1.51/1.92
% 1.51/1.92 termordering = kbo
% 1.51/1.92
% 1.51/1.92 litapriori = 0
% 1.51/1.92 termapriori = 1
% 1.51/1.92 litaposteriori = 0
% 1.51/1.92 termaposteriori = 0
% 1.51/1.92 demodaposteriori = 0
% 1.51/1.92 ordereqreflfact = 0
% 1.51/1.92
% 1.51/1.92 litselect = negord
% 1.51/1.92
% 1.51/1.92 maxweight = 15
% 1.51/1.92 maxdepth = 30000
% 1.51/1.92 maxlength = 115
% 1.51/1.92 maxnrvars = 195
% 1.51/1.92 excuselevel = 1
% 1.51/1.92 increasemaxweight = 1
% 1.51/1.92
% 1.51/1.92 maxselected = 10000000
% 1.51/1.92 maxnrclauses = 10000000
% 1.51/1.92
% 1.51/1.92 showgenerated = 0
% 1.51/1.92 showkept = 0
% 1.51/1.92 showselected = 0
% 1.51/1.92 showdeleted = 0
% 1.51/1.92 showresimp = 1
% 1.51/1.92 showstatus = 2000
% 1.51/1.92
% 1.51/1.92 prologoutput = 1
% 1.51/1.92 nrgoals = 5000000
% 1.51/1.92 totalproof = 1
% 1.51/1.92
% 1.51/1.92 Symbols occurring in the translation:
% 1.51/1.92
% 1.51/1.92 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.51/1.92 . [1, 2] (w:1, o:178, a:1, s:1, b:0),
% 1.51/1.92 ! [4, 1] (w:0, o:89, a:1, s:1, b:0),
% 1.51/1.92 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.51/1.92 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.51/1.92 'class_Orderings_Oorder' [40, 1] (w:1, o:94, a:1, s:1, b:0),
% 1.51/1.92 'c_HOL_Oord__class_Oless' [43, 3] (w:1, o:210, a:1, s:1, b:0),
% 1.51/1.92 'class_RealVector_Oreal__normed__field' [45, 1] (w:1, o:95, a:1, s:1
% 1.51/1.92 , b:0),
% 1.51/1.92 'c_HOL_Oinverse__class_Odivide' [46, 1] (w:1, o:96, a:1, s:1, b:0),
% 1.51/1.92 'c_COMBC' [47, 5] (w:1, o:228, a:1, s:1, b:0),
% 1.51/1.92 hAPP [49, 2] (w:1, o:203, a:1, s:1, b:0),
% 1.51/1.92 'c_Lim_OLIM' [50, 5] (w:1, o:229, a:1, s:1, b:0),
% 1.51/1.92 'tc_fun' [52, 2] (w:1, o:204, a:1, s:1, b:0),
% 1.51/1.92 'tc_nat' [53, 0] (w:1, o:25, a:1, s:1, b:0),
% 1.51/1.92 'c_COMBB' [54, 5] (w:1, o:227, a:1, s:1, b:0),
% 1.51/1.92 'c_Series_Osuminf' [56, 2] (w:1, o:205, a:1, s:1, b:0),
% 1.51/1.92 'c_Series_Osummable' [57, 2] (w:1, o:206, a:1, s:1, b:0),
% 1.51/1.92 'c_Suc' [58, 0] (w:1, o:31, a:1, s:1, b:0),
% 1.51/1.92 'c_Divides_Odiv__class_Omod' [61, 3] (w:1, o:211, a:1, s:1, b:0),
% 1.51/1.92 'class_RealVector_Ometric__space' [62, 1] (w:1, o:97, a:1, s:1, b:0)
% 1.51/1.92 ,
% 1.51/1.92 'c_SEQ_OLIMSEQ' [64, 3] (w:1, o:212, a:1, s:1, b:0),
% 1.51/1.92 'class_Ring__and__Field_Oordered__idom' [65, 1] (w:1, o:100, a:1, s:1
% 1.51/1.92 , b:0),
% 1.51/1.92 'c_HOL_Otimes__class_Otimes' [66, 1] (w:1, o:101, a:1, s:1, b:0),
% 1.51/1.92 'c_HOL_Oabs__class_Oabs' [67, 1] (w:1, o:102, a:1, s:1, b:0),
% 1.51/1.92 'class_OrderedGroup_Opordered__ab__group__add__abs' [70, 1] (w:1, o:
% 1.51/1.92 104, a:1, s:1, b:0),
% 1.51/1.92 'c_HOL_Ominus__class_Ominus' [71, 1] (w:1, o:105, a:1, s:1, b:0),
% 1.51/1.92 'c_lessequals' [72, 3] (w:1, o:213, a:1, s:1, b:0),
% 1.51/1.92 'c_HOL_Ozero__class_Ozero' [73, 1] (w:1, o:106, a:1, s:1, b:0),
% 1.51/1.92 'class_OrderedGroup_Opordered__ab__group__add' [74, 1] (w:1, o:107
% 1.51/1.92 , a:1, s:1, b:0),
% 1.51/1.92 'c_HOL_Ouminus__class_Ouminus' [75, 1] (w:1, o:108, a:1, s:1, b:0),
% 1.51/1.92 'class_Int_Onumber__ring' [76, 1] (w:1, o:109, a:1, s:1, b:0),
% 1.51/1.92 'c_Int_Onumber__class_Onumber__of' [77, 2] (w:1, o:207, a:1, s:1, b:0
% 1.51/1.92 ),
% 1.51/1.92 'class_Ring__and__Field_Ofield' [78, 1] (w:1, o:110, a:1, s:1, b:0),
% 1.51/1.92
% 1.51/1.92 'class_Ring__and__Field_Oordered__field' [79, 1] (w:1, o:111, a:1, s:
% 1.51/1.92 1, b:0),
% 1.51/1.92 'class_Ring__and__Field_Odivision__by__zero' [81, 1] (w:1, o:117, a:1
% 1.51/1.92 , s:1, b:0),
% 1.51/1.92 'tc_bool' [82, 0] (w:1, o:42, a:1, s:1, b:0),
% 1.51/1.92 'c_Orderings_Obot__class_Obot' [83, 1] (w:1, o:118, a:1, s:1, b:0),
% 1.51/1.92 'c_Set_Oimage' [86, 4] (w:1, o:223, a:1, s:1, b:0),
% 1.51/1.92 'class_Ring__and__Field_Olordered__ring' [87, 1] (w:1, o:119, a:1, s:
% 1.51/1.92 1, b:0),
% 1.51/1.92 'class_RealVector_Oreal__normed__vector' [88, 1] (w:1, o:120, a:1, s:
% 1.51/1.92 1, b:0),
% 1.51/1.92 'c_Divides_Odiv__class_Odiv' [90, 3] (w:1, o:214, a:1, s:1, b:0),
% 1.51/1.92 'c_Parity_Oeven__odd__class_Oeven' [91, 2] (w:1, o:208, a:1, s:1, b:0
% 2.48/2.86 ),
% 2.48/2.86 'c_HOL_Oplus__class_Oplus' [92, 1] (w:1, o:122, a:1, s:1, b:0),
% 2.48/2.86 'class_Orderings_Obot' [94, 1] (w:1, o:123, a:1, s:1, b:0),
% 2.48/2.86 'c_Fun_Oinj__on' [96, 4] (w:1, o:224, a:1, s:1, b:0),
% 2.48/2.86 'c_Set_Oinsert' [97, 3] (w:1, o:215, a:1, s:1, b:0),
% 2.48/2.86 'c_HOL_Oone__class_Oone' [98, 1] (w:1, o:121, a:1, s:1, b:0),
% 2.48/2.86 'c_SetInterval_Oord__class_OatLeastLessThan' [99, 3] (w:1, o:216, a:1
% 2.48/2.86 , s:1, b:0),
% 2.48/2.86 'class_OrderedGroup_Ocomm__monoid__add' [100, 1] (w:1, o:124, a:1, s:
% 2.48/2.86 1, b:0),
% 2.48/2.86 'c_SetInterval_Oord__class_OatLeastAtMost' [101, 3] (w:1, o:217, a:1
% 2.48/2.86 , s:1, b:0),
% 2.48/2.86 'c_Finite__Set_Osetsum' [102, 4] (w:1, o:225, a:1, s:1, b:0),
% 2.48/2.86 'class_Orderings_Olinorder' [103, 1] (w:1, o:125, a:1, s:1, b:0),
% 2.48/2.86 'class_OrderedGroup_Olordered__ab__group__add__abs' [104, 1] (w:1, o:
% 2.48/2.86 126, a:1, s:1, b:0),
% 2.48/2.86 'class_Ring__and__Field_Oabs__if' [105, 1] (w:1, o:127, a:1, s:1, b:0
% 2.48/2.86 ),
% 2.48/2.86 hBOOL [107, 1] (w:1, o:128, a:1, s:1, b:0),
% 2.48/2.86 'class_Orderings_Opreorder' [108, 1] (w:1, o:129, a:1, s:1, b:0),
% 2.48/2.86 'tc_Int_Oint' [109, 0] (w:1, o:50, a:1, s:1, b:0),
% 2.48/2.86 'class_OrderedGroup_Oab__group__add' [113, 1] (w:1, o:130, a:1, s:1
% 2.48/2.86 , b:0),
% 2.48/2.86 'c_Groebner__Basis_Osemiringb' [123, 6] (w:1, o:231, a:1, s:1, b:0),
% 2.48/2.86
% 2.48/2.86 'c_Power_Opower__class_Opower' [126, 1] (w:1, o:131, a:1, s:1, b:0),
% 2.48/2.86
% 2.48/2.86 'c_Int_OBit1' [127, 1] (w:1, o:133, a:1, s:1, b:0),
% 2.48/2.86 'c_Int_OMin' [128, 0] (w:1, o:64, a:1, s:1, b:0),
% 2.48/2.86 'c_COMBS' [129, 5] (w:1, o:230, a:1, s:1, b:0),
% 2.48/2.86 'c_Deriv_Oderiv' [131, 4] (w:1, o:226, a:1, s:1, b:0),
% 2.48/2.86 'class_OrderedGroup_Ogroup__add' [132, 1] (w:1, o:134, a:1, s:1, b:0)
% 2.48/2.86 ,
% 2.48/2.86 'class_Lattices_Oboolean__algebra' [133, 1] (w:1, o:135, a:1, s:1, b:
% 2.48/2.86 0),
% 2.48/2.86 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [134, 1]
% 2.48/2.86 (w:1, o:136, a:1, s:1, b:0),
% 2.48/2.86 'class_OrderedGroup_Oordered__ab__group__add' [135, 1] (w:1, o:103
% 2.48/2.86 , a:1, s:1, b:0),
% 2.48/2.86 'class_Divides_Osemiring__div' [136, 1] (w:1, o:138, a:1, s:1, b:0),
% 2.48/2.86
% 2.48/2.86 'class_RealVector_Oreal__normed__algebra__1' [140, 1] (w:1, o:139, a:
% 2.48/2.86 1, s:1, b:0),
% 2.48/2.86 'c_Groebner__Basis_Ogb__semiring' [143, 6] (w:1, o:232, a:1, s:1, b:0
% 2.48/2.86 ),
% 2.48/2.86 'class_Int_Onumber' [144, 1] (w:1, o:140, a:1, s:1, b:0),
% 2.48/2.86 'c_SEQ_OBseq' [146, 2] (w:1, o:209, a:1, s:1, b:0),
% 2.48/2.86 'class_Ring__and__Field_Oidom' [147, 1] (w:1, o:141, a:1, s:1, b:0),
% 2.48/2.86
% 2.48/2.86 'class_Ring__and__Field_Oordered__semiring__strict' [148, 1] (w:1, o:
% 2.48/2.86 143, a:1, s:1, b:0),
% 2.48/2.86 'class_Ring__and__Field_Opordered__ring__abs' [149, 1] (w:1, o:147
% 2.48/2.86 , a:1, s:1, b:0),
% 2.48/2.86 'class_Ring__and__Field_Oordered__semiring' [150, 1] (w:1, o:144, a:1
% 2.48/2.86 , s:1, b:0),
% 2.48/2.86 'class_Ring__and__Field_Oordered__ring__strict' [151, 1] (w:1, o:142
% 2.48/2.86 , a:1, s:1, b:0),
% 2.48/2.86 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [152, 1]
% 2.48/2.86 (w:1, o:148, a:1, s:1, b:0),
% 2.48/2.86 'class_OrderedGroup_Opordered__comm__monoid__add' [153, 1] (w:1, o:
% 2.48/2.86 149, a:1, s:1, b:0),
% 2.48/2.86 'class_OrderedGroup_Olordered__ab__group__add' [154, 1] (w:1, o:150
% 2.48/2.86 , a:1, s:1, b:0),
% 2.48/2.86 'c_Power_Opower_Opower' [155, 3] (w:1, o:218, a:1, s:1, b:0),
% 2.48/2.86 'class_Divides_Oring__div' [158, 1] (w:1, o:137, a:1, s:1, b:0),
% 2.48/2.86 'c_Int_OPls' [165, 0] (w:1, o:76, a:1, s:1, b:0),
% 2.48/2.86 'c_Series_Osums' [166, 3] (w:1, o:219, a:1, s:1, b:0),
% 2.48/2.86 'class_Ring__and__Field_Ocomm__ring__1' [167, 1] (w:1, o:112, a:1, s:
% 2.48/2.86 1, b:0),
% 2.48/2.86 'c_Int_OBit0' [168, 1] (w:1, o:132, a:1, s:1, b:0),
% 2.48/2.86 'class_Ring__and__Field_Oring' [169, 1] (w:1, o:151, a:1, s:1, b:0),
% 2.48/2.86
% 2.48/2.86 'class_RealVector_Oreal__normed__algebra' [172, 1] (w:1, o:152, a:1
% 2.48/2.86 , s:1, b:0),
% 2.48/2.86 'class_Ring__and__Field_Opordered__ring' [173, 1] (w:1, o:153, a:1
% 2.48/2.86 , s:1, b:0),
% 2.48/2.86 'class_RealVector_Oreal__field' [175, 1] (w:1, o:154, a:1, s:1, b:0)
% 2.48/2.86 ,
% 2.48/2.86 'class_OrderedGroup_Opordered__ab__semigroup__add' [177, 1] (w:1, o:
% 2.48/2.86 155, a:1, s:1, b:0),
% 2.48/2.86 'class_Ring__and__Field_Oordered__semidom' [184, 1] (w:1, o:145, a:1
% 2.48/2.86 , s:1, b:0),
% 2.48/2.86 'class_OrderedGroup_Omonoid__mult' [185, 1] (w:1, o:156, a:1, s:1, b:
% 15.14/15.55 0),
% 15.14/15.55 'class_Ring__and__Field_Oordered__comm__semiring__strict' [189, 1]
% 15.14/15.55 (w:1, o:146, a:1, s:1, b:0),
% 15.14/15.55 'class_Ring__and__Field_Omult__mono1' [190, 1] (w:1, o:157, a:1, s:1
% 15.14/15.55 , b:0),
% 15.14/15.55 'class_Ring__and__Field_Omult__mono' [191, 1] (w:1, o:158, a:1, s:1
% 15.14/15.55 , b:0),
% 15.14/15.55 'class_Ring__and__Field_Opordered__cancel__semiring' [192, 1] (w:1
% 15.14/15.55 , o:159, a:1, s:1, b:0),
% 15.14/15.55 'class_Ring__and__Field_Opordered__semiring' [194, 1] (w:1, o:160, a:
% 15.14/15.55 1, s:1, b:0),
% 15.14/15.55 'class_Ring__and__Field_Osemiring__0' [197, 1] (w:1, o:164, a:1, s:1
% 15.14/15.55 , b:0),
% 15.14/15.55 'class_Power_Opower' [198, 1] (w:1, o:172, a:1, s:1, b:0),
% 15.14/15.55 'class_Ring__and__Field_Ocomm__ring' [199, 1] (w:1, o:113, a:1, s:1
% 15.14/15.55 , b:0),
% 15.14/15.55 'class_Ring__and__Field_Oring__1' [200, 1] (w:1, o:161, a:1, s:1, b:0
% 15.14/15.55 ),
% 15.14/15.55 'class_Ring__and__Field_Ocomm__semiring__1' [201, 1] (w:1, o:115, a:1
% 15.14/15.55 , s:1, b:0),
% 15.14/15.55 'class_Ring__and__Field_Ocomm__semiring__0' [203, 1] (w:1, o:114, a:1
% 15.14/15.55 , s:1, b:0),
% 15.14/15.55 'tc_Complex_Ocomplex' [204, 0] (w:1, o:80, a:1, s:1, b:0),
% 15.14/15.55 'c_FFT__Mirabelle_Oroot' [205, 1] (w:1, o:173, a:1, s:1, b:0),
% 15.14/15.55 'c_Complex_Oii' [206, 0] (w:1, o:81, a:1, s:1, b:0),
% 15.14/15.55 'v_i' [207, 0] (w:1, o:82, a:1, s:1, b:0),
% 15.14/15.55 'c_FFT__Mirabelle_OIDFT' [208, 3] (w:1, o:220, a:1, s:1, b:0),
% 15.14/15.55 'c_FFT__Mirabelle_ODFT' [209, 3] (w:1, o:221, a:1, s:1, b:0),
% 15.14/15.55 'class_OrderedGroup_Oab__semigroup__idem__mult' [210, 1] (w:1, o:165
% 15.14/15.55 , a:1, s:1, b:0),
% 15.14/15.55 'class_OrderedGroup_Ocomm__monoid__mult' [211, 1] (w:1, o:166, a:1
% 15.14/15.55 , s:1, b:0),
% 15.14/15.55 'class_OrderedGroup_Oab__semigroup__mult' [212, 1] (w:1, o:167, a:1
% 15.14/15.55 , s:1, b:0),
% 15.14/15.55 'class_Ring__and__Field_Ocomm__semiring' [213, 1] (w:1, o:116, a:1
% 15.14/15.55 , s:1, b:0),
% 15.14/15.55 'class_OrderedGroup_Ocancel__ab__semigroup__add' [214, 1] (w:1, o:168
% 15.14/15.55 , a:1, s:1, b:0),
% 15.14/15.55 'class_OrderedGroup_Ocancel__semigroup__add' [215, 1] (w:1, o:169, a:
% 15.14/15.55 1, s:1, b:0),
% 15.14/15.55 'class_Ring__and__Field_Ozero__neq__one' [216, 1] (w:1, o:174, a:1
% 15.14/15.55 , s:1, b:0),
% 15.14/15.55 'class_Ring__and__Field_Ono__zero__divisors' [217, 1] (w:1, o:99, a:1
% 15.14/15.55 , s:1, b:0),
% 15.14/15.55 'class_Ring__and__Field_Omult__zero' [218, 1] (w:1, o:98, a:1, s:1
% 15.14/15.55 , b:0),
% 15.14/15.55 'class_Ring__and__Field_Oring__no__zero__divisors' [219, 1] (w:1, o:
% 15.14/15.55 162, a:1, s:1, b:0),
% 15.14/15.55 'class_Ring__and__Field_Osemiring' [220, 1] (w:1, o:175, a:1, s:1, b:
% 15.14/15.55 0),
% 15.14/15.55 'class_Ring__and__Field_Osemiring__1' [221, 1] (w:1, o:176, a:1, s:1
% 15.14/15.55 , b:0),
% 15.14/15.55 'class_Ring__and__Field_Oring__1__no__zero__divisors' [222, 1] (w:1
% 15.14/15.55 , o:163, a:1, s:1, b:0),
% 15.14/15.55 'v_m' [223, 0] (w:1, o:83, a:1, s:1, b:0),
% 15.14/15.55 'v_a' [224, 0] (w:1, o:84, a:1, s:1, b:0),
% 15.14/15.55 'class_OrderedGroup_Oab__semigroup__add' [225, 1] (w:1, o:170, a:1
% 15.14/15.55 , s:1, b:0),
% 15.14/15.55 'class_Int_Oring__char__0' [228, 1] (w:1, o:177, a:1, s:1, b:0),
% 15.14/15.55 'class_OrderedGroup_Omonoid__add' [229, 1] (w:1, o:171, a:1, s:1, b:0
% 15.14/15.55 ),
% 15.14/15.55 'c_fequal' [232, 3] (w:1, o:222, a:1, s:1, b:0).
% 15.14/15.55
% 15.14/15.55
% 15.14/15.55 Starting Search:
% 15.14/15.55
% 15.14/15.55 Resimplifying inuse:
% 15.14/15.55 Done
% 15.14/15.55
% 15.14/15.55
% 15.14/15.55 Intermediate Status:
% 15.14/15.55 Generated: 3069
% 15.14/15.55 Kept: 2000
% 15.14/15.55 Inuse: 167
% 15.14/15.55 Deleted: 7
% 15.14/15.55 Deletedinuse: 0
% 15.14/15.55
% 15.14/15.55 Resimplifying inuse:
% 15.14/15.55 Done
% 15.14/15.55
% 15.14/15.55
% 15.14/15.55 Intermediate Status:
% 15.14/15.55 Generated: 14537
% 15.14/15.55 Kept: 4734
% 15.14/15.55 Inuse: 339
% 15.14/15.55 Deleted: 12
% 15.14/15.55 Deletedinuse: 0
% 15.14/15.55
% 15.14/15.55 Resimplifying inuse:
% 15.14/15.55 Done
% 15.14/15.55
% 15.14/15.55 Resimplifying inuse:
% 15.14/15.55 Done
% 15.14/15.55
% 15.14/15.55
% 15.14/15.55 Intermediate Status:
% 15.14/15.55 Generated: 28352
% 15.14/15.55 Kept: 7062
% 15.14/15.55 Inuse: 388
% 15.14/15.55 Deleted: 13
% 15.14/15.55 Deletedinuse: 0
% 15.14/15.55
% 15.14/15.55 Resimplifying inuse:
% 15.14/15.55 Done
% 15.14/15.55
% 15.14/15.55 Resimplifying inuse:
% 15.14/15.55 Done
% 15.14/15.55
% 15.14/15.55
% 15.14/15.55 Intermediate Status:
% 15.14/15.55 Generated: 35457
% 15.14/15.55 Kept: 9454
% 15.14/15.55 Inuse: 421
% 15.14/15.55 Deleted: 15
% 15.14/15.55 Deletedinuse: 0
% 15.14/15.55
% 15.14/15.55 Resimplifying inuse:
% 15.14/15.55 Done
% 15.14/15.55
% 15.14/15.55 Resimplifying inuse:
% 15.14/15.55 Done
% 15.14/15.55
% 15.14/15.55
% 15.14/15.55 Intermediate Status:
% 15.14/15.55 Generated: 42631
% 15.14/15.55 Kept: 11454
% 15.14/15.55 Inuse: 526
% 15.14/15.55 Deleted: 15
% 15.14/15.55 Deletedinuse: 0
% 15.14/15.55
% 15.14/15.55 Resimplifying inuse:
% 15.14/15.55 Done
% 15.14/15.55
% 15.14/15.55 Resimplifying inuse:
% 15.14/15.55 Done
% 15.14/15.55
% 15.14/15.55
% 15.14/15.55 Intermediate Status:
% 15.14/15.55 Generated: 49335
% 15.14/15.55 Kept: 13479
% 15.14/15.55 Inuse: 611
% 15.14/15.55 Deleted: 15
% 15.14/15.55 Deletedinuse: 0
% 15.14/15.55
% 15.14/15.55 Resimplifying inuse:
% 15.14/15.55 Done
% 15.14/15.55
% 15.14/15.55
% 15.14/15.55 Intermediate Status:
% 15.14/15.55 Generated: 55187
% 15.14/15.55 Kept: 15936
% 15.14/15.55 Inuse: 651
% 15.14/15.55 Deleted: 15
% 15.14/15.55 Deletedinuse: 0
% 15.14/15.55
% 15.14/15.55 Resimplifying inuse:
% 42.58/43.00 Done
% 42.58/43.00
% 42.58/43.00 Resimplifying inuse:
% 42.58/43.00 Done
% 42.58/43.00
% 42.58/43.00
% 42.58/43.00 Intermediate Status:
% 42.58/43.00 Generated: 64637
% 42.58/43.00 Kept: 18424
% 42.58/43.00 Inuse: 701
% 42.58/43.00 Deleted: 15
% 42.58/43.00 Deletedinuse: 0
% 42.58/43.00
% 42.58/43.00 Resimplifying inuse:
% 42.58/43.00 Done
% 42.58/43.00
% 42.58/43.00 Resimplifying inuse:
% 42.58/43.00 Done
% 42.58/43.00
% 42.58/43.00 Resimplifying clauses:
% 42.58/43.00 Done
% 42.58/43.00
% 42.58/43.00
% 42.58/43.00 Intermediate Status:
% 42.58/43.00 Generated: 78543
% 42.58/43.00 Kept: 21173
% 42.58/43.00 Inuse: 716
% 42.58/43.00 Deleted: 229
% 42.58/43.00 Deletedinuse: 0
% 42.58/43.00
% 42.58/43.00 Resimplifying inuse:
% 42.58/43.00 Done
% 42.58/43.00
% 42.58/43.00 Resimplifying inuse:
% 42.58/43.00 Done
% 42.58/43.00
% 42.58/43.00
% 42.58/43.00 Intermediate Status:
% 42.58/43.00 Generated: 92189
% 42.58/43.00 Kept: 24022
% 42.58/43.00 Inuse: 731
% 42.58/43.00 Deleted: 230
% 42.58/43.00 Deletedinuse: 1
% 42.58/43.00
% 42.58/43.00 Resimplifying inuse:
% 42.58/43.00 Done
% 42.58/43.00
% 42.58/43.00 Resimplifying inuse:
% 42.58/43.00 Done
% 42.58/43.00
% 42.58/43.00
% 42.58/43.00 Intermediate Status:
% 42.58/43.00 Generated: 106296
% 42.58/43.00 Kept: 26916
% 42.58/43.00 Inuse: 746
% 42.58/43.00 Deleted: 230
% 42.58/43.00 Deletedinuse: 1
% 42.58/43.00
% 42.58/43.00 Resimplifying inuse:
% 42.58/43.00 Done
% 42.58/43.00
% 42.58/43.00
% 42.58/43.00 Intermediate Status:
% 42.58/43.00 Generated: 126155
% 42.58/43.00 Kept: 30356
% 42.58/43.00 Inuse: 761
% 42.58/43.00 Deleted: 230
% 42.58/43.00 Deletedinuse: 1
% 42.58/43.00
% 42.58/43.00 Resimplifying inuse:
% 42.58/43.00 Done
% 42.58/43.00
% 42.58/43.00
% 42.58/43.00 Intermediate Status:
% 42.58/43.00 Generated: 146542
% 42.58/43.00 Kept: 33451
% 42.58/43.00 Inuse: 766
% 42.58/43.00 Deleted: 230
% 42.58/43.00 Deletedinuse: 1
% 42.58/43.00
% 42.58/43.00 Resimplifying inuse:
% 42.58/43.00 Done
% 42.58/43.00
% 42.58/43.00 Resimplifying inuse:
% 42.58/43.00 Done
% 42.58/43.00
% 42.58/43.00
% 42.58/43.00 Intermediate Status:
% 42.58/43.00 Generated: 156883
% 42.58/43.00 Kept: 35452
% 42.58/43.00 Inuse: 808
% 42.58/43.00 Deleted: 230
% 42.58/43.00 Deletedinuse: 1
% 42.58/43.00
% 42.58/43.00 Resimplifying inuse:
% 42.58/43.00 Done
% 42.58/43.00
% 42.58/43.00 Resimplifying inuse:
% 42.58/43.00 Done
% 42.58/43.00
% 42.58/43.00
% 42.58/43.00 Intermediate Status:
% 42.58/43.00 Generated: 167897
% 42.58/43.00 Kept: 37530
% 42.58/43.00 Inuse: 846
% 42.58/43.00 Deleted: 230
% 42.58/43.00 Deletedinuse: 1
% 42.58/43.00
% 42.58/43.00 Resimplifying inuse:
% 42.58/43.00 Done
% 42.58/43.00
% 42.58/43.00 Resimplifying inuse:
% 42.58/43.00 Done
% 42.58/43.00
% 42.58/43.00
% 42.58/43.00 Intermediate Status:
% 42.58/43.00 Generated: 178001
% 42.58/43.00 Kept: 40470
% 42.58/43.00 Inuse: 876
% 42.58/43.00 Deleted: 241
% 42.58/43.00 Deletedinuse: 11
% 42.58/43.00
% 42.58/43.00 Resimplifying inuse:
% 42.58/43.00 Done
% 42.58/43.00
% 42.58/43.00 Resimplifying clauses:
% 42.58/43.00 Done
% 42.58/43.00
% 42.58/43.00 Resimplifying inuse:
% 42.58/43.00 Done
% 42.58/43.00
% 42.58/43.00
% 42.58/43.00 Intermediate Status:
% 42.58/43.00 Generated: 189513
% 42.58/43.00 Kept: 43924
% 42.58/43.00 Inuse: 900
% 42.58/43.00 Deleted: 531
% 42.58/43.00 Deletedinuse: 11
% 42.58/43.00
% 42.58/43.00 Resimplifying inuse:
% 42.58/43.00 Done
% 42.58/43.00
% 42.58/43.00
% 42.58/43.00 Intermediate Status:
% 42.58/43.00 Generated: 195967
% 42.58/43.00 Kept: 46121
% 42.58/43.00 Inuse: 905
% 42.58/43.00 Deleted: 531
% 42.58/43.00 Deletedinuse: 11
% 42.58/43.00
% 42.58/43.00 Resimplifying inuse:
% 42.58/43.00 Done
% 42.58/43.00
% 42.58/43.00 Resimplifying inuse:
% 42.58/43.00 Done
% 42.58/43.00
% 42.58/43.00
% 42.58/43.00 Intermediate Status:
% 42.58/43.00 Generated: 204665
% 42.58/43.00 Kept: 48157
% 42.58/43.00 Inuse: 930
% 42.58/43.00 Deleted: 531
% 42.58/43.00 Deletedinuse: 11
% 42.58/43.00
% 42.58/43.00 Resimplifying inuse:
% 42.58/43.00 Done
% 42.58/43.00
% 42.58/43.00 Resimplifying inuse:
% 42.58/43.00 Done
% 42.58/43.00
% 42.58/43.00
% 42.58/43.00 Intermediate Status:
% 42.58/43.00 Generated: 222037
% 42.58/43.00 Kept: 51832
% 42.58/43.00 Inuse: 950
% 42.58/43.00 Deleted: 531
% 42.58/43.00 Deletedinuse: 11
% 42.58/43.00
% 42.58/43.00 Resimplifying inuse:
% 42.58/43.00 Done
% 42.58/43.00
% 42.58/43.00 Resimplifying inuse:
% 42.58/43.00 Done
% 42.58/43.00
% 42.58/43.00
% 42.58/43.00 Intermediate Status:
% 42.58/43.00 Generated: 233544
% 42.58/43.00 Kept: 54138
% 42.58/43.00 Inuse: 975
% 42.58/43.00 Deleted: 531
% 42.58/43.00 Deletedinuse: 11
% 42.58/43.00
% 42.58/43.00 Resimplifying inuse:
% 42.58/43.00 Done
% 42.58/43.00
% 42.58/43.00 Resimplifying inuse:
% 42.58/43.00 Done
% 42.58/43.00
% 42.58/43.00
% 42.58/43.00 Intermediate Status:
% 42.58/43.00 Generated: 249230
% 42.58/43.00 Kept: 57738
% 42.58/43.00 Inuse: 1010
% 42.58/43.00 Deleted: 531
% 42.58/43.00 Deletedinuse: 11
% 42.58/43.00
% 42.58/43.00 Resimplifying inuse:
% 42.58/43.00 Done
% 42.58/43.00
% 42.58/43.00
% 42.58/43.00 Intermediate Status:
% 42.58/43.00 Generated: 256591
% 42.58/43.00 Kept: 59891
% 42.58/43.00 Inuse: 1015
% 42.58/43.00 Deleted: 531
% 42.58/43.00 Deletedinuse: 11
% 42.58/43.00
% 42.58/43.00 Resimplifying inuse:
% 42.58/43.00 Done
% 42.58/43.00
% 42.58/43.00
% 42.58/43.00 Intermediate Status:
% 42.58/43.00 Generated: 263961
% 42.58/43.00 Kept: 61962
% 42.58/43.00 Inuse: 1020
% 42.58/43.00 Deleted: 531
% 42.58/43.00 Deletedinuse: 11
% 42.58/43.00
% 42.58/43.00 Resimplifying inuse:
% 42.58/43.00 Done
% 42.58/43.00
% 42.58/43.00 Resimplifying clauses:
% 42.58/43.00 Done
% 42.58/43.00
% 42.58/43.00 Resimplifying inuse:
% 42.58/43.00 Done
% 42.58/43.00
% 42.58/43.00
% 42.58/43.00 Intermediate Status:
% 42.58/43.00 Generated: 275778
% 42.58/43.00 Kept: 64374
% 42.58/43.00 Inuse: 1045
% 42.58/43.00 Deleted: 595
% 42.58/43.00 Deletedinuse: 11
% 42.58/43.00
% 42.58/43.00 Resimplifying inuse:
% 42.58/43.00 Done
% 42.58/43.00
% 42.58/43.00 Resimplifying inuse:
% 42.58/43.00 Done
% 42.58/43.00
% 42.58/43.00
% 42.58/43.00 Intermediate Status:
% 42.58/43.00 Generated: 285685
% 42.58/43.00 Kept: 66583
% 42.58/43.00 Inuse: 1065
% 42.58/43.00 Deleted: 595
% 42.58/43.00 Deletedinuse: 11
% 42.58/43.00
% 42.58/43.00 Resimplifying inuse:
% 42.58/43.00 Done
% 42.58/43.00
% 42.58/43.00 Resimplifying inuse:
% 42.58/43.00 Done
% 42.58/43.00
% 42.58/43.00
% 42.58/43.00 Intermediate Status:
% 42.58/43.00 Generated: 295533
% 42.58/43.00 Kept: 68881
% 42.58/43.00 Inuse: 1085
% 42.58/43.00 Deleted: 595
% 42.58/43.00 Deletedinuse: 11
% 42.58/43.00
% 42.58/43.00 Resimplifying inuse:
% 42.58/43.00 Done
% 42.58/43.00
% 42.58/43.00 Resimplifying inuse:
% 42.58/43.00 Done
% 42.58/43.00
% 42.58/43.00
% 42.58/43.00 Intermediate Status:
% 42.58/43.00 Generated: 306163
% 42.58/43.00 Kept: 71036
% 42.58/43.00 Inuse: 1105
% 42.58/43.00 Deleted: 595
% 42.58/43.00 Deletedinuse: 11
% 42.58/43.00
% 42.58/43.00 Resimplifying inuse:
% 42.58/43.00 Done
% 42.58/43.00
% 42.58/43.00 Resimplifying inuse:
% 42.58/43.00 Done
% 42.58/43.00
% 42.58/43.00
% 42.58/43.00 Intermediate Status:
% 42.58/43.00 Generated: 337138
% 42.58/43.00 Kept: 75074
% 42.58/43.00 Inuse: 1120
% 42.58/43.00 Deleted: 595
% 42.58/43.00 Deletedinuse: 11
% 42.58/43.00
% 42.58/43.00 Resimplifying inuse:
% 42.58/43.00 Done
% 42.58/43.00
% 42.58/43.00 Resimplifying inuse:
% 42.58/43.00 Done
% 42.58/43.00
% 42.58/43.00
% 42.58/43.00 Intermediate Status:
% 42.58/43.00 Generated: 347362
% 42.58/43.00 Kept: 77517
% 42.58/43.00 Inuse: 1140
% 42.58/43.00 Deleted: 595
% 42.58/43.00 Deletedinuse: 11
% 42.58/43.00
% 42.58/43.00 Resimplifying inuse:
% 42.58/43.00 Done
% 42.58/43.00
% 42.58/43.00 Resimplifying inuse:
% 42.58/43.00 Done
% 42.58/43.00
% 42.58/43.00
% 42.58/43.00 Intermediate Status:
% 42.58/43.00 Generated: 358795
% 42.58/43.00 Kept: 79517
% 42.58/43.00 Inuse: 1160
% 42.58/43.00 Deleted: 595
% 42.58/43.00 Deletedinuse: 11
% 42.58/43.00
% 42.58/43.00 Resimplifying inuse:
% 42.58/43.00 Done
% 42.58/43.00
% 42.58/43.00 Resimplifying inuse:
% 92.88/93.30 Done
% 92.88/93.30
% 92.88/93.30
% 92.88/93.30 Intermediate Status:
% 92.88/93.30 Generated: 368729
% 92.88/93.30 Kept: 81522
% 92.88/93.30 Inuse: 1182
% 92.88/93.30 Deleted: 595
% 92.88/93.30 Deletedinuse: 11
% 92.88/93.30
% 92.88/93.30 Resimplifying clauses:
% 92.88/93.30 Done
% 92.88/93.30
% 92.88/93.30 Resimplifying inuse:
% 92.88/93.30 Done
% 92.88/93.30
% 92.88/93.30 Resimplifying inuse:
% 92.88/93.30 Done
% 92.88/93.30
% 92.88/93.30
% 92.88/93.30 Intermediate Status:
% 92.88/93.30 Generated: 377604
% 92.88/93.30 Kept: 83639
% 92.88/93.30 Inuse: 1198
% 92.88/93.30 Deleted: 891
% 92.88/93.30 Deletedinuse: 12
% 92.88/93.30
% 92.88/93.30 Resimplifying inuse:
% 92.88/93.30 Done
% 92.88/93.30
% 92.88/93.30
% 92.88/93.30 Intermediate Status:
% 92.88/93.30 Generated: 388513
% 92.88/93.30 Kept: 86006
% 92.88/93.30 Inuse: 1223
% 92.88/93.30 Deleted: 891
% 92.88/93.30 Deletedinuse: 12
% 92.88/93.30
% 92.88/93.30 Resimplifying inuse:
% 92.88/93.30 Done
% 92.88/93.30
% 92.88/93.30 Resimplifying inuse:
% 92.88/93.30 Done
% 92.88/93.30
% 92.88/93.30
% 92.88/93.30 Intermediate Status:
% 92.88/93.30 Generated: 398932
% 92.88/93.30 Kept: 88276
% 92.88/93.30 Inuse: 1248
% 92.88/93.30 Deleted: 891
% 92.88/93.30 Deletedinuse: 12
% 92.88/93.30
% 92.88/93.30 Resimplifying inuse:
% 92.88/93.30 Done
% 92.88/93.30
% 92.88/93.30 Resimplifying inuse:
% 92.88/93.30 Done
% 92.88/93.30
% 92.88/93.30
% 92.88/93.30 Intermediate Status:
% 92.88/93.30 Generated: 408090
% 92.88/93.30 Kept: 90394
% 92.88/93.30 Inuse: 1273
% 92.88/93.30 Deleted: 892
% 92.88/93.30 Deletedinuse: 13
% 92.88/93.30
% 92.88/93.30 Resimplifying inuse:
% 92.88/93.30 Done
% 92.88/93.30
% 92.88/93.30 Resimplifying inuse:
% 92.88/93.30 Done
% 92.88/93.30
% 92.88/93.30
% 92.88/93.30 Intermediate Status:
% 92.88/93.30 Generated: 422049
% 92.88/93.30 Kept: 92398
% 92.88/93.30 Inuse: 1310
% 92.88/93.30 Deleted: 892
% 92.88/93.30 Deletedinuse: 13
% 92.88/93.30
% 92.88/93.30 Resimplifying inuse:
% 92.88/93.30 Done
% 92.88/93.30
% 92.88/93.30 Resimplifying inuse:
% 92.88/93.30 Done
% 92.88/93.30
% 92.88/93.30
% 92.88/93.30 Intermediate Status:
% 92.88/93.30 Generated: 433277
% 92.88/93.30 Kept: 94531
% 92.88/93.30 Inuse: 1338
% 92.88/93.30 Deleted: 892
% 92.88/93.30 Deletedinuse: 13
% 92.88/93.30
% 92.88/93.30 Resimplifying inuse:
% 92.88/93.30 Done
% 92.88/93.30
% 92.88/93.30 Resimplifying inuse:
% 92.88/93.30 Done
% 92.88/93.30
% 92.88/93.30
% 92.88/93.30 Intermediate Status:
% 92.88/93.30 Generated: 445664
% 92.88/93.30 Kept: 96666
% 92.88/93.30 Inuse: 1367
% 92.88/93.30 Deleted: 893
% 92.88/93.30 Deletedinuse: 13
% 92.88/93.30
% 92.88/93.30 Resimplifying inuse:
% 92.88/93.30 Done
% 92.88/93.30
% 92.88/93.30 Resimplifying inuse:
% 92.88/93.30 Done
% 92.88/93.30
% 92.88/93.30
% 92.88/93.30 Intermediate Status:
% 92.88/93.30 Generated: 456938
% 92.88/93.30 Kept: 99713
% 92.88/93.30 Inuse: 1382
% 92.88/93.30 Deleted: 893
% 92.88/93.30 Deletedinuse: 13
% 92.88/93.30
% 92.88/93.30 Resimplifying inuse:
% 92.88/93.30 Done
% 92.88/93.30
% 92.88/93.30 Resimplifying inuse:
% 92.88/93.30 Done
% 92.88/93.30
% 92.88/93.30
% 92.88/93.30 Intermediate Status:
% 92.88/93.30 Generated: 467832
% 92.88/93.30 Kept: 102049
% 92.88/93.30 Inuse: 1402
% 92.88/93.30 Deleted: 893
% 92.88/93.30 Deletedinuse: 13
% 92.88/93.30
% 92.88/93.30 Resimplifying inuse:
% 92.88/93.30 Done
% 92.88/93.30
% 92.88/93.30 Resimplifying clauses:
% 92.88/93.30 Done
% 92.88/93.30
% 92.88/93.30 Resimplifying inuse:
% 92.88/93.30 Done
% 92.88/93.30
% 92.88/93.30
% 92.88/93.30 Intermediate Status:
% 92.88/93.30 Generated: 481076
% 92.88/93.30 Kept: 104763
% 92.88/93.30 Inuse: 1427
% 92.88/93.30 Deleted: 1269
% 92.88/93.30 Deletedinuse: 13
% 92.88/93.30
% 92.88/93.30 Resimplifying inuse:
% 92.88/93.30 Done
% 92.88/93.30
% 92.88/93.30
% 92.88/93.30 Intermediate Status:
% 92.88/93.30 Generated: 490718
% 92.88/93.30 Kept: 107703
% 92.88/93.30 Inuse: 1436
% 92.88/93.30 Deleted: 1269
% 92.88/93.30 Deletedinuse: 13
% 92.88/93.30
% 92.88/93.30 Resimplifying inuse:
% 92.88/93.30 Done
% 92.88/93.30
% 92.88/93.30 Resimplifying inuse:
% 92.88/93.30 Done
% 92.88/93.30
% 92.88/93.30
% 92.88/93.30 Intermediate Status:
% 92.88/93.30 Generated: 499724
% 92.88/93.30 Kept: 109965
% 92.88/93.30 Inuse: 1447
% 92.88/93.30 Deleted: 1269
% 92.88/93.30 Deletedinuse: 13
% 92.88/93.30
% 92.88/93.30 Resimplifying inuse:
% 92.88/93.30 Done
% 92.88/93.30
% 92.88/93.30 Resimplifying inuse:
% 92.88/93.30 Done
% 92.88/93.30
% 92.88/93.30
% 92.88/93.30 Intermediate Status:
% 92.88/93.30 Generated: 509260
% 92.88/93.30 Kept: 111982
% 92.88/93.30 Inuse: 1463
% 92.88/93.30 Deleted: 1269
% 92.88/93.30 Deletedinuse: 13
% 92.88/93.30
% 92.88/93.30 Resimplifying inuse:
% 92.88/93.30 Done
% 92.88/93.30
% 92.88/93.30
% 92.88/93.30 Intermediate Status:
% 92.88/93.30 Generated: 518157
% 92.88/93.30 Kept: 114301
% 92.88/93.30 Inuse: 1477
% 92.88/93.30 Deleted: 1269
% 92.88/93.30 Deletedinuse: 13
% 92.88/93.30
% 92.88/93.30 Resimplifying inuse:
% 92.88/93.30 Done
% 92.88/93.30
% 92.88/93.30 Resimplifying inuse:
% 92.88/93.30 Done
% 92.88/93.30
% 92.88/93.30
% 92.88/93.30 Intermediate Status:
% 92.88/93.30 Generated: 528324
% 92.88/93.30 Kept: 116782
% 92.88/93.30 Inuse: 1507
% 92.88/93.30 Deleted: 1269
% 92.88/93.30 Deletedinuse: 13
% 92.88/93.30
% 92.88/93.30 Resimplifying inuse:
% 92.88/93.30 Done
% 92.88/93.30
% 92.88/93.30 Resimplifying inuse:
% 92.88/93.30 Done
% 92.88/93.30
% 92.88/93.30
% 92.88/93.30 Intermediate Status:
% 92.88/93.30 Generated: 535534
% 92.88/93.30 Kept: 118979
% 92.88/93.30 Inuse: 1522
% 92.88/93.30 Deleted: 1269
% 92.88/93.30 Deletedinuse: 13
% 92.88/93.30
% 92.88/93.30 Resimplifying inuse:
% 92.88/93.30 Done
% 92.88/93.30
% 92.88/93.30 Resimplifying inuse:
% 92.88/93.30 Done
% 92.88/93.30
% 92.88/93.30
% 92.88/93.30 Intermediate Status:
% 92.88/93.30 Generated: 551196
% 92.88/93.30 Kept: 122281
% 92.88/93.30 Inuse: 1547
% 92.88/93.30 Deleted: 1269
% 92.88/93.30 Deletedinuse: 13
% 92.88/93.30
% 92.88/93.30 Resimplifying inuse:
% 92.88/93.30 Done
% 92.88/93.30
% 92.88/93.30 Resimplifying clauses:
% 92.88/93.30 Done
% 92.88/93.30
% 92.88/93.30 Resimplifying inuse:
% 92.88/93.30 Done
% 92.88/93.30
% 92.88/93.30
% 92.88/93.30 Intermediate Status:
% 92.88/93.30 Generated: 561781
% 92.88/93.30 Kept: 124919
% 92.88/93.30 Inuse: 1577
% 92.88/93.30 Deleted: 1613
% 92.88/93.30 Deletedinuse: 13
% 92.88/93.30
% 92.88/93.30 Resimplifying inuse:
% 92.88/93.30 Done
% 92.88/93.30
% 92.88/93.30 Resimplifying inuse:
% 92.88/93.30 Done
% 92.88/93.30
% 92.88/93.30
% 92.88/93.30 Intermediate Status:
% 92.88/93.30 Generated: 570517
% 92.88/93.30 Kept: 126940
% 92.88/93.30 Inuse: 1611
% 92.88/93.30 Deleted: 1613
% 92.88/93.30 Deletedinuse: 13
% 92.88/93.30
% 92.88/93.30 Resimplifying inuse:
% 92.88/93.30 Done
% 92.88/93.30
% 92.88/93.30 Resimplifying inuse:
% 92.88/93.30 Done
% 92.88/93.30
% 92.88/93.30
% 92.88/93.30 Intermediate Status:
% 92.88/93.30 Generated: 585962
% 92.88/93.30 Kept: 130465
% 92.88/93.30 Inuse: 1637
% 92.88/93.30 Deleted: 1613
% 92.88/93.30 Deletedinuse: 13
% 92.88/93.30
% 92.88/93.30 Resimplifying inuse:
% 92.88/93.30 Done
% 92.88/93.30
% 92.88/93.30 Resimplifying inuse:
% 92.88/93.30 Done
% 92.88/93.30
% 92.88/93.30
% 92.88/93.30 Intermediate Status:
% 92.88/93.30 Generated: 595955
% 92.88/93.30 Kept: 132467
% 92.88/93.30 Inuse: 1663
% 92.88/93.30 Deleted: 1613
% 92.88/93.30 Deletedinuse: 13
% 92.88/93.30
% 92.88/93.30 Resimplifying inuse:
% 92.88/93.30 Done
% 92.88/93.30
% 92.88/93.30 Resimplifying inuse:
% 92.88/93.30 Done
% 92.88/93.30
% 92.88/93.30
% 92.88/93.30 Intermediate Status:
% 92.88/93.30 Generated: 605328
% 92.88/93.30 Kept: 134702
% 92.88/93.30 Inuse: 1687
% 92.88/93.30 Deleted: 1613
% 92.88/93.30 Deletedinuse: 13
% 92.88/93.30
% 92.88/93.30 Resimplifying inuse:
% 92.88/93.30 Done
% 92.88/93.30
% 92.88/93.30 Resimplifying inuse:
% 92.88/93.30 Done
% 92.88/93.30
% 92.88/93.30
% 92.88/93.30 Intermediate Status:
% 92.88/93.30 Generated: 618325
% 92.88/93.30 Kept: 136789
% 92.88/93.30 Inuse: 1712
% 92.88/93.30 Deleted: 1613
% 196.35/196.75 Deletedinuse: 13
% 196.35/196.75
% 196.35/196.75 Resimplifying inuse:
% 196.35/196.75 Done
% 196.35/196.75
% 196.35/196.75 Resimplifying inuse:
% 196.35/196.75 Done
% 196.35/196.75
% 196.35/196.75
% 196.35/196.75 Intermediate Status:
% 196.35/196.75 Generated: 636870
% 196.35/196.75 Kept: 139966
% 196.35/196.75 Inuse: 1747
% 196.35/196.75 Deleted: 1613
% 196.35/196.75 Deletedinuse: 13
% 196.35/196.75
% 196.35/196.75 Resimplifying inuse:
% 196.35/196.75 Done
% 196.35/196.75
% 196.35/196.75
% 196.35/196.75 Intermediate Status:
% 196.35/196.75 Generated: 677852
% 196.35/196.75 Kept: 146178
% 196.35/196.75 Inuse: 1762
% 196.35/196.75 Deleted: 1613
% 196.35/196.75 Deletedinuse: 13
% 196.35/196.75
% 196.35/196.75 Resimplifying inuse:
% 196.35/196.75 Done
% 196.35/196.75
% 196.35/196.75 Resimplifying clauses:
% 196.35/196.75 Done
% 196.35/196.75
% 196.35/196.75 Resimplifying inuse:
% 196.35/196.75 Done
% 196.35/196.75
% 196.35/196.75
% 196.35/196.75 Intermediate Status:
% 196.35/196.75 Generated: 689349
% 196.35/196.75 Kept: 148191
% 196.35/196.75 Inuse: 1785
% 196.35/196.75 Deleted: 1741
% 196.35/196.75 Deletedinuse: 13
% 196.35/196.75
% 196.35/196.75 Resimplifying inuse:
% 196.35/196.75 Done
% 196.35/196.75
% 196.35/196.75 Resimplifying inuse:
% 196.35/196.75 Done
% 196.35/196.75
% 196.35/196.75
% 196.35/196.75 Intermediate Status:
% 196.35/196.75 Generated: 700496
% 196.35/196.75 Kept: 151283
% 196.35/196.75 Inuse: 1802
% 196.35/196.75 Deleted: 1742
% 196.35/196.75 Deletedinuse: 14
% 196.35/196.75
% 196.35/196.75 Resimplifying inuse:
% 196.35/196.75 Done
% 196.35/196.75
% 196.35/196.75 Resimplifying inuse:
% 196.35/196.75 Done
% 196.35/196.75
% 196.35/196.75
% 196.35/196.75 Intermediate Status:
% 196.35/196.75 Generated: 707843
% 196.35/196.75 Kept: 153942
% 196.35/196.75 Inuse: 1812
% 196.35/196.75 Deleted: 1742
% 196.35/196.75 Deletedinuse: 14
% 196.35/196.75
% 196.35/196.75 Resimplifying inuse:
% 196.35/196.75 Done
% 196.35/196.75
% 196.35/196.75 Resimplifying inuse:
% 196.35/196.75 Done
% 196.35/196.75
% 196.35/196.75
% 196.35/196.75 Intermediate Status:
% 196.35/196.75 Generated: 716652
% 196.35/196.75 Kept: 156554
% 196.35/196.75 Inuse: 1822
% 196.35/196.75 Deleted: 1742
% 196.35/196.75 Deletedinuse: 14
% 196.35/196.75
% 196.35/196.75 Resimplifying inuse:
% 196.35/196.75 Done
% 196.35/196.75
% 196.35/196.75 Resimplifying inuse:
% 196.35/196.75 Done
% 196.35/196.75
% 196.35/196.75
% 196.35/196.75 Intermediate Status:
% 196.35/196.75 Generated: 725301
% 196.35/196.75 Kept: 158954
% 196.35/196.75 Inuse: 1837
% 196.35/196.75 Deleted: 1742
% 196.35/196.75 Deletedinuse: 14
% 196.35/196.75
% 196.35/196.75 Resimplifying inuse:
% 196.35/196.75 Done
% 196.35/196.75
% 196.35/196.75 Resimplifying inuse:
% 196.35/196.75 Done
% 196.35/196.75
% 196.35/196.75
% 196.35/196.75 Intermediate Status:
% 196.35/196.75 Generated: 732462
% 196.35/196.75 Kept: 161516
% 196.35/196.75 Inuse: 1847
% 196.35/196.75 Deleted: 1742
% 196.35/196.75 Deletedinuse: 14
% 196.35/196.75
% 196.35/196.75 Resimplifying inuse:
% 196.35/196.75 Done
% 196.35/196.75
% 196.35/196.75 Resimplifying inuse:
% 196.35/196.75 Done
% 196.35/196.75
% 196.35/196.75
% 196.35/196.75 Intermediate Status:
% 196.35/196.75 Generated: 743428
% 196.35/196.75 Kept: 163518
% 196.35/196.75 Inuse: 1871
% 196.35/196.75 Deleted: 1742
% 196.35/196.75 Deletedinuse: 14
% 196.35/196.75
% 196.35/196.75 Resimplifying inuse:
% 196.35/196.75 Done
% 196.35/196.75
% 196.35/196.75 Resimplifying inuse:
% 196.35/196.75 Done
% 196.35/196.75
% 196.35/196.75
% 196.35/196.75 Intermediate Status:
% 196.35/196.75 Generated: 750989
% 196.35/196.75 Kept: 165759
% 196.35/196.75 Inuse: 1887
% 196.35/196.75 Deleted: 1742
% 196.35/196.75 Deletedinuse: 14
% 196.35/196.75
% 196.35/196.75 Resimplifying inuse:
% 196.35/196.75 Done
% 196.35/196.75
% 196.35/196.75 Resimplifying clauses:
% 196.35/196.75 Done
% 196.35/196.75
% 196.35/196.75 Resimplifying inuse:
% 196.35/196.75 Done
% 196.35/196.75
% 196.35/196.75
% 196.35/196.75 Intermediate Status:
% 196.35/196.75 Generated: 761718
% 196.35/196.75 Kept: 167859
% 196.35/196.75 Inuse: 1907
% 196.35/196.75 Deleted: 2939
% 196.35/196.75 Deletedinuse: 14
% 196.35/196.75
% 196.35/196.75 Resimplifying inuse:
% 196.35/196.75 Done
% 196.35/196.75
% 196.35/196.75 Resimplifying inuse:
% 196.35/196.75 Done
% 196.35/196.75
% 196.35/196.75
% 196.35/196.75 Intermediate Status:
% 196.35/196.75 Generated: 775191
% 196.35/196.75 Kept: 170333
% 196.35/196.75 Inuse: 1927
% 196.35/196.75 Deleted: 2939
% 196.35/196.75 Deletedinuse: 14
% 196.35/196.75
% 196.35/196.75 Resimplifying inuse:
% 196.35/196.75 Done
% 196.35/196.75
% 196.35/196.75 Resimplifying inuse:
% 196.35/196.75 Done
% 196.35/196.75
% 196.35/196.75
% 196.35/196.75 Intermediate Status:
% 196.35/196.75 Generated: 787921
% 196.35/196.75 Kept: 172584
% 196.35/196.75 Inuse: 1957
% 196.35/196.75 Deleted: 2939
% 196.35/196.75 Deletedinuse: 14
% 196.35/196.75
% 196.35/196.75 Resimplifying inuse:
% 196.35/196.75 Done
% 196.35/196.75
% 196.35/196.75 Resimplifying inuse:
% 196.35/196.75 Done
% 196.35/196.75
% 196.35/196.75
% 196.35/196.75 Intermediate Status:
% 196.35/196.75 Generated: 796222
% 196.35/196.75 Kept: 174653
% 196.35/196.75 Inuse: 1977
% 196.35/196.75 Deleted: 2939
% 196.35/196.75 Deletedinuse: 14
% 196.35/196.75
% 196.35/196.75 Resimplifying inuse:
% 196.35/196.75 Done
% 196.35/196.75
% 196.35/196.75
% 196.35/196.75 Intermediate Status:
% 196.35/196.75 Generated: 806244
% 196.35/196.75 Kept: 176905
% 196.35/196.75 Inuse: 1992
% 196.35/196.75 Deleted: 2939
% 196.35/196.75 Deletedinuse: 14
% 196.35/196.75
% 196.35/196.75 Resimplifying inuse:
% 196.35/196.75 Done
% 196.35/196.75
% 196.35/196.75
% 196.35/196.75 Intermediate Status:
% 196.35/196.75 Generated: 817328
% 196.35/196.75 Kept: 179483
% 196.35/196.75 Inuse: 1997
% 196.35/196.75 Deleted: 2939
% 196.35/196.75 Deletedinuse: 14
% 196.35/196.75
% 196.35/196.75 Resimplifying inuse:
% 196.35/196.75 Done
% 196.35/196.75
% 196.35/196.75 Resimplifying inuse:
% 196.35/196.75 Done
% 196.35/196.75
% 196.35/196.75
% 196.35/196.75 Intermediate Status:
% 196.35/196.75 Generated: 826060
% 196.35/196.75 Kept: 181484
% 196.35/196.75 Inuse: 2014
% 196.35/196.75 Deleted: 2939
% 196.35/196.75 Deletedinuse: 14
% 196.35/196.75
% 196.35/196.75 Resimplifying inuse:
% 196.35/196.75 Done
% 196.35/196.75
% 196.35/196.75 Resimplifying inuse:
% 196.35/196.75 Done
% 196.35/196.75
% 196.35/196.75
% 196.35/196.75 Intermediate Status:
% 196.35/196.75 Generated: 836878
% 196.35/196.75 Kept: 183930
% 196.35/196.75 Inuse: 2032
% 196.35/196.75 Deleted: 2939
% 196.35/196.75 Deletedinuse: 14
% 196.35/196.75
% 196.35/196.75 Resimplifying inuse:
% 196.35/196.75 Done
% 196.35/196.75
% 196.35/196.75 Resimplifying inuse:
% 196.35/196.75 Done
% 196.35/196.75
% 196.35/196.75
% 196.35/196.75 Intermediate Status:
% 196.35/196.75 Generated: 843928
% 196.35/196.75 Kept: 185948
% 196.35/196.75 Inuse: 2047
% 196.35/196.75 Deleted: 2939
% 196.35/196.75 Deletedinuse: 14
% 196.35/196.75
% 196.35/196.75 Resimplifying clauses:
% 196.35/196.75 Done
% 196.35/196.75
% 196.35/196.75 Resimplifying inuse:
% 196.35/196.75 Done
% 196.35/196.75
% 196.35/196.75
% 196.35/196.75 Intermediate Status:
% 196.35/196.75 Generated: 866516
% 196.35/196.75 Kept: 191280
% 196.35/196.75 Inuse: 2062
% 196.35/196.75 Deleted: 3088
% 196.35/196.75 Deletedinuse: 14
% 196.35/196.75
% 196.35/196.75 Resimplifying inuse:
% 196.35/196.75 Done
% 196.35/196.75
% 196.35/196.75 Resimplifying inuse:
% 196.35/196.75 Done
% 196.35/196.75
% 196.35/196.75
% 196.35/196.75 Intermediate Status:
% 196.35/196.75 Generated: 877763
% 196.35/196.75 Kept: 193465
% 196.35/196.75 Inuse: 2082
% 196.35/196.75 Deleted: 3088
% 196.35/196.75 Deletedinuse: 14
% 196.35/196.75
% 196.35/196.75 Resimplifying inuse:
% 196.35/196.75 Done
% 196.35/196.75
% 196.35/196.75 Resimplifying inuse:
% 196.35/196.75 Done
% 196.35/196.75
% 196.35/196.75
% 196.35/196.75 Intermediate Status:
% 196.35/196.75 Generated: 885864
% 196.35/196.75 Kept: 195521
% 196.35/196.75 Inuse: 2097
% 196.35/196.75 Deleted: 3088
% 196.35/196.75 Deletedinuse: 14
% 196.35/196.75
% 196.35/196.75 Resimplifying inuse:
% 196.35/196.75 Done
% 196.35/196.75
% 196.35/196.75 Resimplifying inuse:
% 196.35/196.75 Done
% 196.35/196.75
% 196.35/196.75
% 196.35/196.75 Intermediate Status:
% 196.35/196.75 Generated: 918301
% 196.35/196.75 Kept: 203246
% 196.35/196.75 Inuse: 2117
% 196.35/196.75 Deleted: 3088
% 196.35/196.75 Deletedinuse: 14
% 196.35/196.75
% 196.35/196.75 Resimplifying inuse:
% 196.35/196.75 Done
% 196.35/196.75
% 196.35/196.75 Resimplifying inuse:
% 196.35/196.75 Done
% 196.35/196.75
% 196.35/196.75
% 196.35/196.75 Intermediate Status:
% 196.35/196.75 Generated: 92857Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------