%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV645-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Wed Jul 20 16:27:25 EDT 2022
% Result : Timeout 300.03s 300.42s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV645-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n027.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Wed Jun 15 07:21:19 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.05/1.46 *** allocated 10000 integers for termspace/termends
% 1.05/1.46 *** allocated 10000 integers for clauses
% 1.05/1.46 *** allocated 10000 integers for justifications
% 1.05/1.46 *** allocated 15000 integers for termspace/termends
% 1.05/1.46 *** allocated 22500 integers for termspace/termends
% 1.05/1.46 *** allocated 33750 integers for termspace/termends
% 1.05/1.46 Bliksem 1.12
% 1.05/1.46
% 1.05/1.46
% 1.05/1.46 Automatic Strategy Selection
% 1.05/1.46
% 1.05/1.46 Clauses:
% 1.05/1.46 [
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.46 X ), Y ), Z ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.05/1.46 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.05/1.46 ,
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.46 X ), Y ), Z ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.05/1.46 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.05/1.46 ,
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.46 X ), Y ), Z ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 1.05/1.46 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.05/1.46 ,
% 1.05/1.46 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.05/1.46 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.05/1.46 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.05/1.46 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 1.05/1.46 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.05/1.46 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.05/1.46 ,
% 1.05/1.46 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 1.05/1.46 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 1.05/1.46 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.05/1.46 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 1.05/1.46 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.05/1.46 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.05/1.46 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 1.05/1.46 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.05/1.46 ,
% 1.05/1.46 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.05/1.46 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.05/1.46 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.05/1.46 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, hAPP(
% 1.05/1.46 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, hAPP( 'c_Suc'
% 1.05/1.46 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.05/1.46 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.05/1.46 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X,
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.05/1.46 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_HOL_Oord__class_Oless'(
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.05/1.46 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.05/1.46 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), X ) ],
% 1.05/1.46 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OBseq'( Y,
% 1.05/1.46 X ), ~( 'c_SEQ_OBseq'( 'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'( X ), Y
% 1.05/1.46 , X, X, 'tc_nat' ), X ) ) ],
% 1.05/1.46 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OBseq'(
% 1.05/1.46 'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'( X ), Y, X, X, 'tc_nat' ), X )
% 1.05/1.46 , ~( 'c_SEQ_OBseq'( Y, X ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.05/1.46 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ), hAPP( hAPP(
% 1.05/1.46 'c_Power_Opower__class_Opower'( X ), T ), Z ), X ), ~( 'c_lessequals'( Y
% 1.05/1.46 , T, X ) ), 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.05/1.46 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.05/1.46 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X )
% 1.05/1.46 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.05/1.46 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.05/1.46 T, X ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'(
% 1.05/1.46 Z, 'tc_nat' ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.05/1.46 'c_Power_Opower__class_Opower'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.46 X ), X ) ) ],
% 1.05/1.46 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.05/1.46 'c_HOL_Oplus__class_Oplus'( X ), 'c_Finite__Set_Osetsum'( Y,
% 1.05/1.46 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, 'tc_nat' ), 'tc_nat'
% 1.05/1.46 , X ) ), 'c_Finite__Set_Osetsum'( Y,
% 1.05/1.46 'c_SetInterval_Oord__class_OatLeastLessThan'( T, U, 'tc_nat' ), 'tc_nat'
% 1.05/1.46 , X ) ), 'c_Finite__Set_Osetsum'( Y,
% 1.05/1.46 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, U, 'tc_nat' ), 'tc_nat'
% 1.05/1.46 , X ) ), ~( 'c_lessequals'( T, U, 'tc_nat' ) ), ~( 'c_lessequals'( Z, T,
% 1.05/1.46 'tc_nat' ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.05/1.46 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.05/1.46 ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.05/1.46 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.05/1.46 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ),
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.05/1.46 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ), =( Z,
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.05/1.46 [ ~( =( hAPP( 'c_Suc', X ), X ) ) ],
% 1.05/1.46 [ ~( =( X, hAPP( 'c_Suc', X ) ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.05/1.46 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ), ~( 'c_lessequals'( Z,
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 1.05/1.46 ,
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.05/1.46 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), ~( 'c_lessequals'( Y,
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Z, X ) ) ]
% 1.05/1.46 ,
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'( hAPP(
% 1.05/1.46 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ), ~( 'c_lessequals'(
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.05/1.46 ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'( hAPP(
% 1.05/1.46 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), ~( 'c_lessequals'(
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Z, T, X ) )
% 1.05/1.46 ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ), 'c_lessequals'( hAPP(
% 1.05/1.46 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), ~( 'c_lessequals'(
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Z, T, X ) )
% 1.05/1.46 ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.05/1.46 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.05/1.46 , Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 1.05/1.46 ,
% 1.05/1.46 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.05/1.46 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z, X ),
% 1.05/1.46 ~( 'c_lessequals'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ), Z, X ) ) ]
% 1.05/1.46 ,
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.05/1.46 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.05/1.46 , Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 1.05/1.46 ,
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.05/1.46 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.05/1.46 , Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.05/1.46 ,
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.05/1.46 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.05/1.46 , Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.05/1.46 ,
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.05/1.46 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.05/1.46 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.46 X ), X ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.05/1.46 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.05/1.46 Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.46 X ), X ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.05/1.46 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.46 X ), X ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.05/1.46 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.46 X ), X ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.05/1.46 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ), Z, X
% 1.05/1.46 ), ~( 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.05/1.46 ), Y ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.05/1.46 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.05/1.46 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.05/1.46 ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ), hAPP( hAPP(
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z )
% 1.05/1.46 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.46 [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP(
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.46 'tc_nat' ) ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Y ), 'tc_nat' ),
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.05/1.46 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 1.05/1.46 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y
% 1.05/1.46 ), 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.46 'tc_nat' ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.05/1.46 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.05/1.46 ), =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ),
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.05/1.46 , =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.05/1.46 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.05/1.46 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ),
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.05/1.46 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.05/1.46 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.05/1.46 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ),
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.05/1.46 [ =( 'c_Fact_Ofact__class_Ofact'( hAPP( 'c_Suc', X ), 'tc_nat' ), hAPP(
% 1.05/1.46 hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc', X ) ),
% 1.05/1.46 'c_Fact_Ofact__class_Ofact'( X, 'tc_nat' ) ) ) ],
% 1.05/1.46 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.05/1.46 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ),
% 1.05/1.46 ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z )
% 1.05/1.46 , 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.05/1.46 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.05/1.46 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, hAPP(
% 1.05/1.46 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ) ) ],
% 1.05/1.46 [ =( hAPP( hAPP( X, Y ), hAPP( 'c_Suc', Z ) ), hAPP( hAPP( T, Y ), hAPP(
% 1.05/1.46 hAPP( X, Y ), Z ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, T, X, W,
% 1.05/1.46 V0, V1 ) ) ],
% 1.05/1.46 [ =( hAPP( hAPP( X, Y ), hAPP( 'c_Suc', Z ) ), hAPP( hAPP( T, Y ), hAPP(
% 1.05/1.46 hAPP( X, Y ), Z ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, T, X, W,
% 1.05/1.46 V0, V1 ) ) ],
% 1.05/1.46 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), Z ), hAPP( hAPP( Y, Z ),
% 1.05/1.46 hAPP( 'c_Suc', T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, Y, W
% 1.05/1.46 , V0, V1 ) ) ],
% 1.05/1.46 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, Y ), T ) ), hAPP( hAPP( Z, Y ),
% 1.05/1.46 hAPP( 'c_Suc', T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, Z, W
% 1.05/1.46 , V0, V1 ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =( hAPP(
% 1.05/1.46 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.46 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.05/1.46 'c_HOL_Oabs__class_Oabs'( X ), Y ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.05/1.46 , Z ) ) ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.05/1.46 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =( hAPP(
% 1.05/1.46 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.46 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.05/1.46 'c_HOL_Oabs__class_Oabs'( X ), Y ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.05/1.46 , Z ) ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.05/1.46 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =( hAPP(
% 1.05/1.46 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.46 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.05/1.46 'c_HOL_Oabs__class_Oabs'( X ), Y ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.05/1.46 , Z ) ) ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.05/1.46 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =( hAPP(
% 1.05/1.46 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.46 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.05/1.46 'c_HOL_Oabs__class_Oabs'( X ), Y ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.05/1.46 , Z ) ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.05/1.46 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.05/1.46 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ), hAPP( hAPP(
% 1.05/1.46 'c_Power_Opower__class_Opower'( X ), T ), Z ), X ), ~( 'c_lessequals'(
% 1.05/1.46 hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ), hAPP( 'c_HOL_Oabs__class_Oabs'(
% 1.05/1.46 X ), T ), X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ]
% 1.05/1.46 ,
% 1.05/1.46 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP(
% 1.05/1.46 'c_HOL_Oabs__class_Oabs'( X ), Y ), Y ), ~( 'c_lessequals'(
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.05/1.46 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.05/1.46 ), =( Z, Y ) ],
% 1.05/1.46 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.05/1.46 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.05/1.46 ) ],
% 1.05/1.46 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.05/1.46 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.05/1.46 ) ],
% 1.05/1.46 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.05/1.46 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 1.05/1.46 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 1.05/1.46 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.05/1.46 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 1.05/1.46 'class_RealVector_Oreal__normed__algebra__1'( Y ) ), =( Z, T ), ~(
% 1.05/1.46 'c_Lim_OLIM'( U, W, T, Y, X ) ), ~( 'c_Lim_OLIM'( U, W, Z, Y, X ) ) ]
% 1.05/1.46 ,
% 1.05/1.46 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ), ~( 'c_lessequals'( X
% 1.05/1.46 , Y, 'tc_nat' ) ) ],
% 1.05/1.46 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ), =( Y, X ),
% 1.05/1.46 'c_HOL_Oord__class_Oless'( Y, X, 'tc_Int_Oint' ) ],
% 1.05/1.46 [ ~( 'class_RealVector_Ometric__space'( X ) ), =( Y, Z ), ~(
% 1.05/1.46 'c_SEQ_OLIMSEQ'( T, Z, X ) ), ~( 'c_SEQ_OLIMSEQ'( T, Y, X ) ) ],
% 1.05/1.46 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.05/1.46 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.05/1.46 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.05/1.46 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 1.05/1.46 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.05/1.46 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.05/1.46 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =( hAPP(
% 1.05/1.46 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 1.05/1.46 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), =( Y, Z ) ],
% 1.05/1.46 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP(
% 1.05/1.46 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 1.05/1.46 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), =( Y, Z ) ],
% 1.05/1.46 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_lessequals'( X,
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 1.05/1.46 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ),
% 1.05/1.46 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP(
% 1.05/1.46 'c_HOL_Oabs__class_Oabs'( X ), T ) ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.05/1.46 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), Z, X ) ) ],
% 1.05/1.46 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( Y,
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( hAPP(
% 1.05/1.46 'c_HOL_Oabs__class_Oabs'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.05/1.46 ) ],
% 1.05/1.46 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP(
% 1.05/1.46 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.05/1.46 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.05/1.46 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ), X ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.05/1.46 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.05/1.46 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~( 'c_lessequals'( Z,
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.05/1.46 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.05/1.46 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 1.05/1.46 'c_Series_Osummable'( 'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'( X ), Y,
% 1.05/1.46 X, X, 'tc_nat' ), X ), ~( 'c_Series_Osummable'( Y, X ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.05/1.46 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Y
% 1.05/1.46 , 'tc_nat' ), 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.05/1.46 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.05/1.46 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ),
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.05/1.46 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.05/1.46 'c_lessequals'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), hAPP(
% 1.05/1.46 'c_HOL_Oabs__class_Oabs'( X ), Y ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.05/1.46 , Z ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP(
% 1.05/1.46 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), X ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.05/1.46 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y
% 1.05/1.46 ), X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ) ],
% 1.05/1.46 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.05/1.46 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ) ) ],
% 1.05/1.46 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.05/1.46 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ), ~(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.05/1.46 ,
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.05/1.46 Y, Z, 'tc_nat' ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.05/1.46 'c_Power_Opower__class_Opower'( X ), T ), Y ), hAPP( hAPP(
% 1.05/1.46 'c_Power_Opower__class_Opower'( X ), T ), Z ), X ) ), ~(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), T, X ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.05/1.46 Y, Z, 'tc_nat' ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.05/1.46 'c_Power_Opower__class_Opower'( X ), T ), Y ), hAPP( hAPP(
% 1.05/1.46 'c_Power_Opower__class_Opower'( X ), T ), Z ), X ) ), ~(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), T, X ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.05/1.46 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ), hAPP( hAPP(
% 1.05/1.46 'c_Power_Opower__class_Opower'( X ), Y ), T ), X ), ~( 'c_lessequals'( Z
% 1.05/1.46 , T, 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 1.05/1.46 X ), Y, X ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.05/1.46 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.46 X ), Y ), Z ), X ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.05/1.46 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.46 X ), Z ), Y ), X ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.05/1.46 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.46 X ), Y ), Z ), X ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.05/1.46 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.05/1.46 X ), Z ), Y ), X ) ) ],
% 1.05/1.46 [ =( hAPP( hAPP( X, Y ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z ),
% 1.05/1.46 ~( 'c_Groebner__Basis_Ogb__semiring'( T, U, X, W, Z, V0 ) ) ],
% 1.05/1.46 [ =( 'c_Divides_Odiv__class_Odiv'( X, hAPP( 'c_Suc',
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ), X ) ],
% 1.05/1.46 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.05/1.46 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Y ) ), =( Y,
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.05/1.46 'c_Power_Opower__class_Opower'( X ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.46 'tc_nat' ) ), X ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.05/1.46 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ),
% 1.05/1.46 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 1.05/1.46 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X ), ~( 'c_lessequals'(
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( Z, U, X ) )
% 1.05/1.46 , ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 1.05/1.46 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X ), ~( 'c_lessequals'(
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Z, U, X ) )
% 1.05/1.46 , ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.05/1.46 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.05/1.46 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.05/1.46 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X
% 1.05/1.46 ), 'c_Divides_Odiv__class_Odiv'( Z, T, X ) ), =( Y,
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.46 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.05/1.46 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.05/1.46 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X
% 1.05/1.46 ), 'c_Divides_Odiv__class_Odiv'( Y, T, X ) ), =( Z,
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.46 [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP(
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), hAPP( hAPP(
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ), 'tc_nat' ),
% 1.05/1.46 'c_Divides_Odiv__class_Odiv'( Y, Z, 'tc_nat' ) ), =( X,
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( hAPP( hAPP(
% 1.05/1.46 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP(
% 1.05/1.46 hAPP( 'c_Power_Opower__class_Opower'( X ), T ), hAPP( 'c_Suc', Z ) ) ) )
% 1.05/1.46 , =( Y, T ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) )
% 1.05/1.46 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.05/1.46 [ =( X, hAPP( 'c_Suc', Y ) ), 'c_lessequals'( X, Y, 'tc_nat' ), ~(
% 1.05/1.46 'c_lessequals'( X, hAPP( 'c_Suc', Y ), 'tc_nat' ) ) ],
% 1.05/1.46 [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( 'c_Suc', X ), hAPP( 'c_Suc',
% 1.05/1.46 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat' ),
% 1.05/1.46 hAPP( 'c_Suc', 'c_Divides_Odiv__class_Odiv'( X, hAPP( 'c_Suc', hAPP(
% 1.05/1.46 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat' ) ) ),
% 1.05/1.46 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.05/1.46 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.05/1.46 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.05/1.46 ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.05/1.46 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.05/1.46 , Z ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X )
% 1.05/1.46 ) ],
% 1.05/1.46 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.05/1.46 'c_HOL_Ominus__class_Ominus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.05/1.46 , hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.05/1.46 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.05/1.46 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.05/1.46 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_Int_Oint' ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.05/1.46 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z,
% 1.05/1.46 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.05/1.46 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.05/1.46 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ],
% 1.05/1.46 [ 'c_lessequals'( 'c_Divides_Odiv__class_Odiv'( X, Y, 'tc_nat' ),
% 1.05/1.46 'c_Divides_Odiv__class_Odiv'( Z, Y, 'tc_nat' ), 'tc_nat' ), ~(
% 1.05/1.46 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 1.05/1.46 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), hAPP( hAPP( Y, U ), T ) )
% 1.05/1.46 , hAPP( hAPP( Y, hAPP( hAPP( X, Z ), U ) ), T ) ), ~(
% 1.05/1.46 'c_Groebner__Basis_Ogb__semiring'( X, Y, W, V0, V1, V2 ) ) ],
% 1.05/1.46 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), T ), hAPP( hAPP( Y, hAPP(
% 1.05/1.46 hAPP( X, Z ), U ) ), T ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, Y, W
% 1.05/1.46 , V0, U, V1 ) ) ],
% 1.05/1.46 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), Y ) ), hAPP( hAPP( Z, hAPP(
% 1.05/1.46 hAPP( X, T ), U ) ), Y ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, Z, W
% 1.05/1.46 , V0, U, V1 ) ) ],
% 1.05/1.46 [ =( hAPP( hAPP( X, Y ), Y ), hAPP( hAPP( Z, hAPP( hAPP( X, T ), T ) ),
% 1.05/1.46 Y ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, Z, U, W, T, V0 ) ) ],
% 1.05/1.46 [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 1.05/1.46 X, T, U, Y, W, V0 ) ) ],
% 1.05/1.46 [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 1.05/1.46 X, T, U, Z, W, V0 ) ) ],
% 1.05/1.46 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~(
% 1.05/1.46 'c_Groebner__Basis_Ogb__semiring'( T, X, U, W, V0, V1 ) ) ],
% 1.05/1.46 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ), hAPP( hAPP( Y, hAPP(
% 1.05/1.46 hAPP( X, Z ), U ) ), hAPP( hAPP( X, T ), U ) ) ), ~(
% 1.05/1.46 'c_Groebner__Basis_Ogb__semiring'( Y, X, W, V0, V1, V2 ) ) ],
% 1.05/1.46 [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 1.05/1.46 T, X, U, Y, W, V0 ) ) ],
% 1.05/1.46 [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 1.05/1.46 T, X, U, Z, W, V0 ) ) ],
% 1.05/1.46 [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 1.05/1.46 T, X, U, W, Y, V0 ) ) ],
% 1.05/1.46 [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 1.05/1.46 T, X, U, W, Z, V0 ) ) ],
% 1.05/1.46 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, T ), U ) )
% 1.05/1.46 , hAPP( hAPP( X, hAPP( hAPP( X, Y ), T ) ), hAPP( hAPP( X, Z ), U ) ) ),
% 1.05/1.46 ~( 'c_Groebner__Basis_Ogb__semiring'( W, X, V0, V1, V2, V3 ) ) ],
% 1.05/1.46 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, T ), U ) )
% 1.05/1.46 , hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), hAPP( hAPP( X, T ), U ) ) ) ),
% 1.05/1.46 ~( 'c_Groebner__Basis_Ogb__semiring'( W, X, V0, V1, V2, V3 ) ) ],
% 1.05/1.46 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, T ), U ) )
% 1.05/1.46 , hAPP( hAPP( X, T ), hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), U ) ) ),
% 1.05/1.46 ~( 'c_Groebner__Basis_Ogb__semiring'( W, X, V0, V1, V2, V3 ) ) ],
% 1.05/1.46 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, hAPP(
% 1.05/1.46 hAPP( X, Y ), T ) ), Z ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, W
% 1.05/1.46 , V0, V1, V2 ) ) ],
% 1.05/1.46 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ),
% 1.05/1.46 hAPP( hAPP( X, Z ), T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X,
% 1.05/1.46 W, V0, V1, V2 ) ) ],
% 1.05/1.46 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, hAPP(
% 1.05/1.46 hAPP( X, Y ), Z ) ), T ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, W
% 1.05/1.46 , V0, V1, V2 ) ) ],
% 1.05/1.46 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, Z ),
% 1.05/1.46 hAPP( hAPP( X, Y ), T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X,
% 1.05/1.46 W, V0, V1, V2 ) ) ],
% 1.05/1.46 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, T ), U ) )
% 1.05/1.46 , hAPP( hAPP( X, hAPP( hAPP( X, Y ), T ) ), hAPP( hAPP( X, Z ), U ) ) ),
% 1.05/1.46 ~( 'c_Groebner__Basis_Ogb__semiring'( X, W, V0, V1, V2, V3 ) ) ],
% 1.05/1.46 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ),
% 1.05/1.46 hAPP( hAPP( X, Z ), T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, U,
% 1.05/1.46 W, V0, V1, V2 ) ) ],
% 1.05/1.46 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, Z ),
% 1.05/1.46 hAPP( hAPP( X, Y ), T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, U,
% 1.05/1.46 W, V0, V1, V2 ) ) ],
% 1.05/1.46 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, hAPP(
% 1.05/1.46 hAPP( X, Y ), T ) ), Z ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, U, W
% 1.05/1.46 , V0, V1, V2 ) ) ],
% 1.05/1.46 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~(
% 1.05/1.46 'c_Groebner__Basis_Ogb__semiring'( X, T, U, W, V0, V1 ) ) ],
% 1.05/1.46 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, hAPP(
% 1.05/1.46 hAPP( X, Y ), Z ) ), T ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, U, W
% 1.05/1.46 , V0, V1, V2 ) ) ],
% 1.05/1.46 [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 1.05/1.46 X, T, U, Y, W, V0 ) ) ],
% 1.05/1.46 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, hAPP(
% 1.05/1.46 hAPP( X, Y ), Z ) ), T ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, U, W
% 1.05/1.46 , V0, V1, V2 ) ) ],
% 1.05/1.46 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~(
% 1.05/1.46 'c_Groebner__Basis_Ogb__semiring'( X, T, U, W, V0, V1 ) ) ],
% 1.05/1.46 [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 1.05/1.46 T, X, U, Y, W, V0 ) ) ],
% 1.05/1.46 [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 1.05/1.46 T, X, U, W, Y, V0 ) ) ],
% 1.05/1.46 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, hAPP(
% 1.05/1.46 hAPP( X, Y ), Z ) ), T ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, W
% 1.05/1.46 , V0, V1, V2 ) ) ],
% 1.05/1.46 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~(
% 1.05/1.46 'c_Groebner__Basis_Ogb__semiring'( T, X, U, W, V0, V1 ) ) ],
% 1.05/1.46 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), U ) ), hAPP( hAPP( Z, hAPP(
% 1.05/1.46 hAPP( X, Y ), T ) ), hAPP( hAPP( X, Y ), U ) ) ), ~(
% 1.05/1.46 'c_Groebner__Basis_Ogb__semiring'( Z, X, W, V0, V1, V2 ) ) ],
% 1.05/1.46 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ), hAPP( hAPP( Y, hAPP(
% 1.05/1.46 hAPP( X, Z ), U ) ), hAPP( hAPP( X, T ), U ) ) ), ~(
% 1.05/1.46 'c_Groebner__Basis_Ogb__semiring'( W, Y, X, V0, V1, V2 ) ) ],
% 1.05/1.46 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ),
% 1.05/1.46 'c_Deriv_Odifferentiable'( 'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'( X )
% 1.05/1.46 , Y, X, X, X ), Z, X ), ~( 'c_Deriv_Odifferentiable'( Y, Z, X ) ) ],
% 1.05/1.46 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.05/1.46 'c_lessequals'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ), Z, X ), ~(
% 1.05/1.46 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z, X ) )
% 1.05/1.46 , ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.05/1.46 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.05/1.46 'c_lessequals'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ), Z, X ), ~(
% 1.05/1.46 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z, X ) )
% 1.05/1.46 , ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.05/1.46 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP(
% 1.05/1.46 'c_HOL_Oabs__class_Oabs'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X )
% 1.05/1.46 , Y ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.05/1.46 , Y ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.05/1.46 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.05/1.46 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.05/1.46 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.05/1.46 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.05/1.46 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.05/1.46 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.05/1.46 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.05/1.46 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.05/1.46 'c_lessequals'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ),
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ]
% 1.05/1.46 ,
% 1.05/1.46 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.05/1.46 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.05/1.46 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.05/1.46 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.05/1.46 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.05/1.46 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), =( Y,
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'(
% 1.05/1.46 Z, 'tc_nat' ) ) ],
% 1.05/1.46 [ ~( =( 'c_Fact_Ofact__class_Ofact'( X, 'tc_nat' ),
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.05/1.46 [ ~( =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP(
% 1.05/1.46 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( Y, hAPP(
% 1.05/1.46 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.05/1.46 [ ~( =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP(
% 1.05/1.46 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( X,
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, hAPP( 'c_Suc',
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.05/1.46 [ =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.05/1.46 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 1.05/1.46 'tc_nat' ) ), hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) )
% 1.05/1.46 ],
% 1.05/1.46 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 1.05/1.46 'class_RealVector_Oreal__normed__vector'( Y ) ), 'c_Lim_OisCont'(
% 1.05/1.46 'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'( Y ), Z, Y, Y, X ), T, X, Y ),
% 1.05/1.46 ~( 'c_Lim_OisCont'( Z, T, X, Y ) ) ],
% 1.05/1.46 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.05/1.46 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.05/1.46 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP(
% 1.05/1.46 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 1.05/1.46 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.05/1.46 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP(
% 1.05/1.46 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ), ~( 'c_lessequals'( Y,
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.05/1.46 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.05/1.46 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), X ), ~(
% 1.05/1.46 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.05/1.46 , 'tc_nat' ), 'tc_nat' ) ) ],
% 1.05/1.46 [ 'c_lessequals'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.05/1.46 ), X, 'tc_nat' ), ~( 'c_lessequals'( hAPP( 'c_Suc',
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), X ), 'tc_nat' ) ) ],
% 1.05/1.46 [ 'c_lessequals'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.05/1.46 ), X, 'tc_nat' ), ~( 'c_lessequals'( hAPP( 'c_Suc',
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 'tc_nat' ) ) ],
% 1.05/1.46 [ =( hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' )
% 1.05/1.46 , hAPP( 'c_Suc', hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 1.05/1.46 ) ), 'c_Divides_Odiv__class_Odiv'( X, hAPP( 'c_Suc', hAPP( 'c_Suc',
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat' ) ) ), X ),
% 1.05/1.46 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.05/1.46 [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', 'tc_nat' ),
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.05/1.46 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.05/1.46 ), Y ), hAPP( 'c_Suc', Z ) ), 'c_HOL_Oone__class_Oone'( X ), X ), ~(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.05/1.46 ,
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.05/1.46 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.05/1.46 , Y ) ), Z ), X ) ],
% 1.05/1.46 [ =( 'c_Fact_Ofact__class_Ofact'( hAPP( 'c_Suc',
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ), hAPP( 'c_Suc',
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.05/1.46 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.05/1.46 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.05/1.46 ), Y ), Z ), Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.46 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.05/1.46 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.05/1.46 ), Y ), Z ), Y, X ), Z ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.05/1.46 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.05/1.46 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.05/1.46 ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.05/1.46 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.05/1.46 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.05/1.46 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.05/1.46 ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.05/1.46 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.05/1.46 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.05/1.46 , hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ), ~(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.05/1.46 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.05/1.46 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.05/1.46 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), hAPP(
% 1.05/1.46 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.05/1.46 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.05/1.46 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Oabs__class_Oabs'( X
% 1.05/1.46 ), Y ), Z, X ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.05/1.46 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.05/1.46 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.05/1.46 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), T ), hAPP( hAPP(
% 1.05/1.46 'c_Power_Opower__class_Opower'( X ), Z ), T ), X ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.05/1.46 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ) ) ],
% 1.05/1.46 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.05/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ), X ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.09/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.09/1.46 ,
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.09/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.09/1.46 ,
% 1.09/1.46 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.09/1.46 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.09/1.46 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.09/1.46 ,
% 1.09/1.46 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.09/1.46 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.09/1.46 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.09/1.46 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.09/1.46 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.09/1.46 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.09/1.46 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.09/1.46 ,
% 1.09/1.46 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc', hAPP( 'c_Suc',
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), X ), 'tc_nat' ) ],
% 1.09/1.46 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.09/1.46 'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.46 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.09/1.46 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 1.09/1.46 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( 'c_lessequals'(
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z,
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 1.09/1.46 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( 'c_lessequals'(
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y,
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.09/1.46 'c_HOL_Ominus__class_Ominus'( X ), 'c_Finite__Set_Osetsum'( Y,
% 1.09/1.46 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, 'tc_nat' ), 'tc_nat'
% 1.09/1.46 , X ) ), 'c_Finite__Set_Osetsum'( Y,
% 1.09/1.46 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, U, 'tc_nat' ), 'tc_nat'
% 1.09/1.46 , X ) ), 'c_Finite__Set_Osetsum'( Y,
% 1.09/1.46 'c_SetInterval_Oord__class_OatLeastLessThan'( U, T, 'tc_nat' ), 'tc_nat'
% 1.09/1.46 , X ) ), ~( 'c_lessequals'( U, T, 'tc_nat' ) ), ~( 'c_lessequals'( Z, U,
% 1.09/1.46 'tc_nat' ) ) ],
% 1.09/1.46 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.09/1.46 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBB'( Z,
% 1.09/1.46 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), X, Y, X ),
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ), hAPP( Z, T ), X, Y ), ~( 'c_Lim_OisCont'(
% 1.09/1.46 Z, T, X, Y ) ) ],
% 1.09/1.46 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.09/1.46 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OisCont'( Z, T, X, Y ),
% 1.09/1.46 ~( 'c_Lim_OLIM'( 'c_COMBB'( Z, hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T )
% 1.09/1.46 , X, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), hAPP( Z, T ), X, Y ) ) ]
% 1.09/1.46 ,
% 1.09/1.46 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP(
% 1.09/1.46 'c_HOL_Oabs__class_Oabs'( X ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.09/1.46 X ), Y ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.46 X ), X ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =( hAPP(
% 1.09/1.46 'c_HOL_Oabs__class_Oabs'( X ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.09/1.46 X ), Y ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.46 X ), X ) ) ],
% 1.09/1.46 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 1.09/1.46 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =( hAPP(
% 1.09/1.46 'c_HOL_Oabs__class_Oabs'( X ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.09/1.46 X ), Y ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.46 X ), X ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.09/1.46 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.46 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.09/1.46 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.46 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 1.09/1.46 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.46 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 1.09/1.46 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.46 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.09/1.46 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.09/1.46 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), X ), ~(
% 1.09/1.46 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ),
% 1.09/1.46 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.09/1.46 , 'tc_nat' ), 'tc_nat' ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.09/1.46 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.09/1.46 , 'tc_nat' ), 'tc_nat' ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.46 X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.09/1.46 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), X ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.09/1.46 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.09/1.46 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_Int_OPls', Y, 'tc_Int_Oint' ) )
% 1.09/1.46 ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.09/1.46 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_OPls'
% 1.09/1.46 , Y, 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.09/1.46 ), X ) ) ],
% 1.09/1.46 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.09/1.46 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X, hAPP(
% 1.09/1.46 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.09/1.46 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.09/1.46 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, hAPP(
% 1.09/1.46 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.09/1.46 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( 'c_Suc'
% 1.09/1.46 , X ) ), Y ), hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.09/1.46 'tc_nat' ), X ), Y ) ) ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.09/1.46 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 1.09/1.46 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ), ~(
% 1.09/1.46 'c_lessequals'( Y, Z, X ) ), ~( 'c_lessequals'(
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.09/1.46 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 1.09/1.46 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ), ~(
% 1.09/1.46 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP(
% 1.09/1.46 'c_HOL_Oabs__class_Oabs'( X ), 'c_Finite__Set_Osetsum'( 'c_COMBB'(
% 1.09/1.46 'c_HOL_Oabs__class_Oabs'( X ), Y, X, X, Z ), T, Z, X ) ),
% 1.09/1.46 'c_Finite__Set_Osetsum'( 'c_COMBB'( 'c_HOL_Oabs__class_Oabs'( X ), Y, X,
% 1.09/1.46 X, Z ), T, Z, X ) ) ],
% 1.09/1.46 [ 'c_Fun_Oinj__on'( 'c_Suc', X, 'tc_nat', 'tc_nat' ) ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.09/1.46 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP(
% 1.09/1.46 'c_HOL_Oabs__class_Oabs'( X ), Y ) ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.09/1.46 ) ],
% 1.09/1.46 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc'
% 1.09/1.46 , hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ),
% 1.09/1.46 'c_Divides_Odiv__class_Odiv'( X, hAPP( 'c_Suc', hAPP( 'c_Suc',
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat' ) ), X ), ~(
% 1.09/1.46 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.09/1.46 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), ~(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.09/1.46 ), Z ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.46 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( 'c_Suc', X ) ) ) ]
% 1.09/1.46 ,
% 1.09/1.46 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( 'c_Suc', X ) ) ) ]
% 1.09/1.46 ,
% 1.09/1.46 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.09/1.46 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBB'(
% 1.09/1.46 'c_HOL_Ouminus__class_Ouminus'( X ), Z, X, X, Y ), T, hAPP(
% 1.09/1.46 'c_HOL_Ouminus__class_Ouminus'( X ), U ), Y, X ), ~( 'c_Lim_OLIM'( Z, T,
% 1.09/1.46 U, Y, X ) ) ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.09/1.46 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP(
% 1.09/1.46 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), hAPP(
% 1.09/1.46 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.09/1.46 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 1.09/1.46 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ), ~( 'c_lessequals'( Z, Y, X
% 1.09/1.46 ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'c_lessequals'(
% 1.09/1.46 hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y
% 1.09/1.46 ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Z ) ), X ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.09/1.46 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 1.09/1.46 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.09/1.46 hAPP( 'c_Suc', Y ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.46 [ =( 'c_Fact_Ofact__class_Ofact'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.09/1.46 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), 'tc_nat' ),
% 1.09/1.46 'c_Fact_Ofact__class_Ofact'( X, 'tc_nat' ) ) ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.09/1.46 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP(
% 1.09/1.46 'c_HOL_Oabs__class_Oabs'( X ), Y ), Z, X ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.09/1.46 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.09/1.46 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X )
% 1.09/1.46 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.09/1.46 T, X ) ) ],
% 1.09/1.46 [ 'c_lessequals'( 'c_Fact_Ofact__class_Ofact'( X, 'tc_nat' ),
% 1.09/1.46 'c_Fact_Ofact__class_Ofact'( Y, 'tc_nat' ), 'tc_nat' ), ~( 'c_lessequals'(
% 1.09/1.46 X, Y, 'tc_nat' ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.09/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.09/1.46 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ), =( Z,
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.09/1.46 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ) ) ],
% 1.09/1.46 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( 'c_Suc',
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.46 'tc_nat' ) ), hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ]
% 1.09/1.46 ,
% 1.09/1.46 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 1.09/1.46 'class_RealVector_Ometric__space'( Y ) ), ~(
% 1.09/1.46 'class_RealVector_Ometric__space'( Z ) ), 'c_Lim_OLIM'( 'c_COMBB'( T, U,
% 1.09/1.46 X, Y, Z ), W, hAPP( T, V0 ), Z, Y ), ~( 'c_Lim_OLIM'( U, W, V0, Z, X ) )
% 1.09/1.46 , ~( 'c_Lim_OisCont'( T, V0, X, Y ) ) ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.09/1.46 'c_lessequals'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ),
% 1.09/1.46 'c_Finite__Set_Osetsum'( Y, Z, T, X ) ), 'c_Finite__Set_Osetsum'(
% 1.09/1.46 'c_COMBB'( 'c_HOL_Oabs__class_Oabs'( X ), Y, X, X, T ), Z, T, X ), X ) ]
% 1.09/1.46 ,
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.09/1.46 'class_Int_Onumber__ring'( X ) ), =( hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.09/1.46 , 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), hAPP(
% 1.09/1.46 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.09/1.46 Y, X ) ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.46 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.46 ), X ) ) ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.09/1.46 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.09/1.46 , 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.09/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.09/1.46 , 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.09/1.46 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.09/1.46 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.09/1.46 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ),
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.46 [ 'c_lessequals'( 'c_Divides_Odiv__class_Odiv'( X, Y, 'tc_nat' ), X,
% 1.09/1.46 'tc_nat' ) ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.09/1.46 'c_lessequals'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Ominus__class_Ominus'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y
% 1.09/1.46 ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Z ) ) ), hAPP(
% 1.09/1.46 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.09/1.46 X ), Y ), Z ) ), X ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.09/1.46 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.09/1.46 , hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ) ), hAPP(
% 1.09/1.46 'c_HOL_Oabs__class_Oabs'( X ), Z ) ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X ), ~(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Z ), U, X
% 1.09/1.46 ) ), ~( 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ),
% 1.09/1.46 Y ), T, X ) ) ],
% 1.09/1.46 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.09/1.46 'c_COMBB'( Y, 'c_Suc', 'tc_nat', X, 'tc_nat' ), Z, X ), ~(
% 1.09/1.46 'c_SEQ_OLIMSEQ'( Y, Z, X ) ) ],
% 1.09/1.46 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_SEQ_OLIMSEQ'( Y, Z, X
% 1.09/1.46 ), ~( 'c_SEQ_OLIMSEQ'( 'c_COMBB'( Y, 'c_Suc', 'tc_nat', X, 'tc_nat' ), Z
% 1.09/1.46 , X ) ) ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~(
% 1.09/1.46 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.09/1.46 =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.09/1.46 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y
% 1.09/1.46 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.09/1.46 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.09/1.46 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.09/1.46 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.09/1.46 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.09/1.46 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.09/1.46 ), Y ), 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ),
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.09/1.46 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.09/1.46 , 'tc_nat' ), 'tc_nat' ) ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP(
% 1.09/1.46 'c_HOL_Oabs__class_Oabs'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.46 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ), X ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ), Y ), Z ) ) ) ],
% 1.09/1.46 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ), X ), hAPP(
% 1.09/1.46 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ), Y ), Z ) ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ), Y ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ), X ), Z ) ) ) ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.09/1.46 ), Y ) ) ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.09/1.46 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.09/1.46 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.09/1.46 ), ~( =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.09/1.46 ) ) ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.09/1.46 'c_lessequals'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y )
% 1.09/1.46 ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Z ) ), X ) ],
% 1.09/1.46 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( hAPP( 'c_Suc', hAPP( hAPP(
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc', hAPP( 'c_Suc',
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), X ) ), 'tc_nat' ) ) ],
% 1.09/1.46 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.09/1.46 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.09/1.46 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.09/1.46 , X ), 'c_lessequals'( Z, Y, X ) ],
% 1.09/1.46 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 1.09/1.46 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 1.09/1.46 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 1.09/1.46 , X ), 'c_lessequals'( Y, Y, X ) ],
% 1.09/1.46 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.09/1.46 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.09/1.46 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.09/1.46 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 1.09/1.46 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.09/1.46 , X ), 'c_lessequals'( Z, Y, X ) ],
% 1.09/1.46 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.09/1.46 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.09/1.46 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 1.09/1.46 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.09/1.46 , Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 1.09/1.46 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.09/1.46 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ), hAPP( hAPP(
% 1.09/1.46 'c_Power_Opower__class_Opower'( X ), T ), Z ), X ), ~( 'c_lessequals'(
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.09/1.46 ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), ~( =( hAPP( Y,
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.09/1.46 ) ), =( 'c_Finite__Set_Osetsum'( Y,
% 1.09/1.46 'c_SetInterval_Oord__class_OatLeastLessThan'( hAPP( 'c_Suc',
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z, 'tc_nat' ), 'tc_nat', X ),
% 1.09/1.46 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ), 'tc_nat', X ) ) ]
% 1.09/1.46 ,
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.09/1.46 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), =( Y,
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_lessequals'( hAPP( hAPP(
% 1.09/1.46 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y
% 1.09/1.46 ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.09/1.46 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.09/1.46 ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_lessequals'( Y,
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.09/1.46 'c_Power_Opower__class_Opower'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.46 X ), X ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.09/1.46 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.09/1.46 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.09/1.46 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.09/1.46 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), ~(
% 1.09/1.46 'c_lessequals'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.09/1.46 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ), ~(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 1.09/1.46 ,
% 1.09/1.46 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.09/1.46 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.09/1.46 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.09/1.46 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ) ) ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.09/1.46 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ), ~( 'c_lessequals'(
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'(
% 1.09/1.46 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ), 'tc_nat' ) ), ~(
% 1.09/1.46 'c_lessequals'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.09/1.46 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ),
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.46 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.09/1.46 'c_Divides_Odiv__class_Odiv'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 1.09/1.46 , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.46 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OMin', 'c_Int_OPls', 'tc_Int_Oint' )
% 1.09/1.46 ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.09/1.46 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 1.09/1.46 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.09/1.46 , Z ), T ), X ), ~( 'c_lessequals'( Y, T, X ) ), ~(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 1.09/1.46 ,
% 1.09/1.46 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ),
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_lessequals'( X, Y,
% 1.09/1.46 'tc_nat' ) ) ],
% 1.09/1.46 [ ~( =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ),
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_lessequals'( X, Y,
% 1.09/1.46 'tc_nat' ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.09/1.46 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.09/1.46 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.09/1.46 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.09/1.46 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) )
% 1.09/1.46 ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.09/1.46 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ),
% 1.09/1.46 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.09/1.46 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.09/1.46 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Y, X ) )
% 1.09/1.46 ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.09/1.46 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Y, X ),
% 1.09/1.46 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.09/1.46 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.09/1.46 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) )
% 1.09/1.46 ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.09/1.46 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ),
% 1.09/1.46 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.09/1.46 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.09/1.46 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Y, X ) )
% 1.09/1.46 ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.09/1.46 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Y, X ),
% 1.09/1.46 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP(
% 1.09/1.46 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.09/1.46 X ), Y ) ), Z ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z
% 1.09/1.46 ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP(
% 1.09/1.46 'c_HOL_Oabs__class_Oabs'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ) )
% 1.09/1.46 , hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ) ) ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.09/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP(
% 1.09/1.46 'c_HOL_Oabs__class_Oabs'( X ), Y ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.46 X ) ) ],
% 1.09/1.46 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OMin', X, 'tc_Int_Oint' ), ~(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( 'c_Int_OMin', 'c_Int_OBit0'( X ),
% 1.09/1.46 'tc_Int_Oint' ) ) ],
% 1.09/1.46 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OMin', 'c_Int_OBit0'( X ),
% 1.09/1.46 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( 'c_Int_OMin', X,
% 1.09/1.46 'tc_Int_Oint' ) ) ],
% 1.09/1.46 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OMin', X, 'tc_Int_Oint' ), ~(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( 'c_Int_OMin', 'c_Int_OBit1'( X ),
% 1.09/1.46 'tc_Int_Oint' ) ) ],
% 1.09/1.46 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OMin', 'c_Int_OBit1'( X ),
% 1.09/1.46 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( 'c_Int_OMin', X,
% 1.09/1.46 'tc_Int_Oint' ) ) ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.09/1.46 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.09/1.46 hAPP( 'c_Suc', Z ), hAPP( 'c_Suc', T ), 'tc_nat' ), 'tc_nat', X ),
% 1.09/1.46 'c_Finite__Set_Osetsum'( 'c_COMBB'( Y, 'c_Suc', 'tc_nat', X, 'tc_nat' ),
% 1.09/1.46 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, 'tc_nat' ), 'tc_nat'
% 1.09/1.46 , X ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.09/1.46 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ), hAPP( hAPP(
% 1.09/1.46 'c_Power_Opower__class_Opower'( X ), Y ), T ), X ), ~( 'c_lessequals'( Y
% 1.09/1.46 , 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( T, Z,
% 1.09/1.46 'tc_nat' ) ) ],
% 1.09/1.46 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ), X ), Y ),
% 1.09/1.46 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ), Y ), X ) ) ]
% 1.09/1.46 ,
% 1.09/1.46 [ ~( =( hAPP( 'c_Suc', X ), hAPP( 'c_Suc', Y ) ) ), =( X, Y ) ],
% 1.09/1.46 [ ~( =( hAPP( 'c_Suc', X ), hAPP( 'c_Suc', Y ) ) ), =( X, Y ) ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.09/1.46 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 1.09/1.46 'c_HOL_Oabs__class_Oabs'( X ), Y ), X ) ],
% 1.09/1.46 [ =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), hAPP( 'c_Suc',
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.09/1.46 'c_lessequals'( Y, hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ), X ) ],
% 1.09/1.46 [ ~( =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP(
% 1.09/1.46 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( X,
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.09/1.46 [ ~( =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP(
% 1.09/1.46 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( Y, hAPP(
% 1.09/1.46 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, hAPP( 'c_Suc'
% 1.09/1.46 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.09/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.09/1.46 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.09/1.46 ,
% 1.09/1.46 [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.46 'tc_nat' ), 'tc_nat' ) ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP( hAPP(
% 1.09/1.46 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.46 ) ) ), =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z ) ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP( hAPP(
% 1.09/1.46 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.46 ) ) ), =( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.09/1.46 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.09/1.46 'c_HOL_Oabs__class_Oabs'( X ), Y ), Z, X ) ) ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.09/1.46 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 'c_Finite__Set_Osetsum'(
% 1.09/1.46 'c_COMBB'( 'c_HOL_Oabs__class_Oabs'( X ), Y, X, X, Z ), T, Z, X ), X ) ]
% 1.09/1.46 ,
% 1.09/1.46 [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 1.09/1.46 'c_Fact_Ofact__class_Ofact'( X, 'tc_nat' ), 'tc_nat' ) ],
% 1.09/1.46 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc'
% 1.09/1.46 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), hAPP( 'c_Suc',
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), hAPP( 'c_Suc',
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.09/1.46 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.09/1.46 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.09/1.46 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), X ) ),
% 1.09/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ), X ) ]
% 1.09/1.46 ,
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP(
% 1.09/1.46 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'(
% 1.09/1.46 X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), Z ) ), hAPP(
% 1.09/1.46 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'(
% 1.09/1.46 X ), Y ), Z ) ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.09/1.46 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.09/1.46 'c_Int_OPls', 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.46 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.46 ), X ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.09/1.46 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.46 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.46 ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Int_OPls', 'tc_Int_Oint' ) )
% 1.09/1.46 ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP( hAPP(
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y
% 1.09/1.46 ) ), Z ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ), ~( 'c_lessequals'(
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.09/1.46 [ =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( 'c_Suc',
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.46 'tc_nat' ) ) ) ],
% 1.09/1.46 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 1.09/1.46 , X ) ) ],
% 1.09/1.46 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_Int_Oint' ) ) ],
% 1.09/1.46 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.09/1.46 , Y, X ) ) ],
% 1.09/1.46 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.09/1.46 , Y, X ) ) ],
% 1.09/1.46 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.09/1.46 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.09/1.46 'class_Int_Onumber__ring'( X ) ), =( hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.09/1.46 , 'c_Int_Onumber__class_Onumber__of'( Y, X ) ),
% 1.09/1.46 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.46 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.46 ), X ) ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.09/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.09/1.46 ,
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.09/1.46 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.46 X ), X ) ) ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.09/1.46 'c_lessequals'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ),
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.09/1.46 ,
% 1.09/1.46 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.09/1.46 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.09/1.46 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.46 X ), X ) ) ],
% 1.09/1.46 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.09/1.46 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.09/1.46 [ ~( =( hAPP( 'c_Suc', X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ]
% 1.09/1.46 ,
% 1.09/1.46 [ ~( =( hAPP( 'c_Suc', X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ]
% 1.09/1.46 ,
% 1.09/1.46 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.09/1.46 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X )
% 1.09/1.46 , Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.09/1.46 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.09/1.46 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ),
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ),
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'(
% 1.09/1.46 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.09/1.46 , X ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.09/1.46 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), 'c_lessequals'( Z,
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.09/1.46 'c_Power_Opower__class_Opower'( X ), Z ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.46 X ), X ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.09/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.09/1.46 'c_HOL_Oone__class_Oone'( X ), X ) ],
% 1.09/1.46 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'( Y
% 1.09/1.46 , 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_Series_Osummable'( Y, X ) )
% 1.09/1.46 ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.09/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.09/1.46 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.09/1.46 , 'tc_nat' ), 'tc_nat' ), =( 'c_Int_Onumber__class_Onumber__of'( Z,
% 1.09/1.46 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.09/1.46 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.09/1.46 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), X ) ) ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.09/1.46 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.09/1.46 Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.09/1.46 ~( 'c_lessequals'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.09/1.46 hAPP( 'c_Suc', T ) ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Z
% 1.09/1.46 ), hAPP( 'c_Suc', T ) ), X ) ) ],
% 1.09/1.46 [ ~( 'c_HOL_Oord__class_Oless'( 'c_Int_OPls', 'c_Int_OMin',
% 1.09/1.46 'tc_Int_Oint' ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.09/1.46 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.09/1.46 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X )
% 1.09/1.46 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ]
% 1.09/1.46 ,
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.09/1.46 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.09/1.46 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X )
% 1.09/1.46 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) )
% 1.09/1.46 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.09/1.46 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 1.09/1.46 ,
% 1.09/1.46 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ),
% 1.09/1.46 ~( 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.09/1.46 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'(
% 1.09/1.46 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.09/1.46 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.09/1.46 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ),
% 1.09/1.46 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.09/1.46 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ),
% 1.09/1.46 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.09/1.46 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.09/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.09/1.46 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.09/1.46 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), X ), ~(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ),
% 1.09/1.46 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.09/1.46 , 'tc_nat' ), 'tc_nat' ) ],
% 1.09/1.46 [ hBOOL( hAPP( X, 'c_Divides_Odiv__class_Odiv'( Y,
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ), ~( hBOOL( hAPP( X
% 1.09/1.46 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 1.09/1.46 [ ~( hBOOL( hAPP( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), hBOOL(
% 1.09/1.46 hAPP( X, 'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.46 'tc_nat' ), 'tc_nat' ) ) ) ],
% 1.09/1.46 [ ~( hBOOL( hAPP( X, 'c_Divides_Odiv__class_Odiv'( Y,
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ) ), hBOOL( hAPP( X
% 1.09/1.46 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP(
% 1.09/1.46 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.09/1.46 X ), Y ) ), Z ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.09/1.46 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ),
% 1.09/1.46 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.09/1.46 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'( Y
% 1.09/1.46 , Z, X ), ~( 'c_SEQ_OLIMSEQ'( 'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.09/1.46 X ), Y, X, X, 'tc_nat' ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z )
% 1.09/1.46 , X ) ) ],
% 1.09/1.46 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.09/1.46 'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'( X ), Y, X, X, 'tc_nat' ), hAPP(
% 1.09/1.46 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ), ~( 'c_SEQ_OLIMSEQ'( Y, Z,
% 1.09/1.46 X ) ) ],
% 1.09/1.46 [ 'c_lessequals'( X, hAPP( 'c_Suc', Y ), 'tc_nat' ), ~( 'c_lessequals'(
% 1.09/1.46 X, Y, 'tc_nat' ) ) ],
% 1.09/1.46 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( hAPP( 'c_Suc', X
% 1.09/1.46 ), Y, 'tc_nat' ) ) ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP(
% 1.09/1.46 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), =( hAPP(
% 1.09/1.46 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.46 [ ~( 'c_lessequals'( hAPP( 'c_Suc', X ), X, 'tc_nat' ) ) ],
% 1.09/1.46 [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( 'c_Suc', X ), hAPP( 'c_Suc',
% 1.09/1.46 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat' ),
% 1.09/1.46 'c_Divides_Odiv__class_Odiv'( X, hAPP( 'c_Suc', hAPP( 'c_Suc',
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat' ) ), ~(
% 1.09/1.46 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.09/1.46 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.09/1.46 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ),
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.09/1.46 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ),
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.46 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 1.09/1.46 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =( hAPP(
% 1.09/1.46 'c_HOL_Oabs__class_Oabs'( X ), Y ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =( hAPP(
% 1.09/1.46 'c_HOL_Oabs__class_Oabs'( X ), Y ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.09/1.46 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ],
% 1.09/1.46 [ ~( 'c_HOL_Oord__class_Oless'( 'c_Int_OMin', 'c_Int_OMin',
% 1.09/1.46 'tc_Int_Oint' ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.09/1.46 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.09/1.46 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), ~(
% 1.09/1.46 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.09/1.46 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ) ), ~(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.09/1.46 ,
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.09/1.46 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~(
% 1.09/1.46 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.09/1.46 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~(
% 1.09/1.46 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.09/1.46 'class_OrderedGroup_Omonoid__mult'( X ) ), 'c_lessequals'(
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.09/1.46 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~(
% 1.09/1.46 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.09/1.46 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.09/1.46 ), Y ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.09/1.46 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.09/1.46 ), Y ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.09/1.46 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP(
% 1.09/1.46 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.46 ) ) ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.09/1.46 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.09/1.46 ), Y ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.09/1.46 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.09/1.46 ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.09/1.46 ,
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.09/1.46 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.09/1.46 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ),
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.09/1.46 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.09/1.46 , 'tc_nat' ), 'tc_nat' ), =( 'c_Int_Onumber__class_Onumber__of'( Z,
% 1.09/1.46 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.09/1.46 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' )
% 1.09/1.46 ],
% 1.09/1.46 [ =( 'c_Fact_Ofact__class_Ofact'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.09/1.46 , 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.09/1.46 [ 'c_lessequals'( hAPP( 'c_Suc', X ), Y, 'tc_nat' ), 'c_lessequals'( Y,
% 1.09/1.46 X, 'tc_nat' ) ],
% 1.09/1.46 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), ~( 'c_lessequals'( hAPP(
% 1.09/1.46 'c_Suc', Y ), X, 'tc_nat' ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP( hAPP(
% 1.09/1.46 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.09/1.46 , Y ) ), Z ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ) )
% 1.09/1.46 , ~( 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.09/1.46 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Y
% 1.09/1.46 , 'tc_nat' ), 'tc_nat' ), 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.46 X ), X ), ~( 'c_lessequals'( hAPP( hAPP( 'c_Power_Opower__class_Opower'(
% 1.09/1.46 X ), Z ), 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ),
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.09/1.46 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X )
% 1.09/1.46 , Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.09/1.46 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.09/1.46 X ), T ), Y ) ), Z, X ) ) ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP(
% 1.09/1.46 'c_HOL_Oabs__class_Oabs'( X ), Y ), Y ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.09/1.46 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.09/1.46 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X,
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, hAPP( 'c_Suc',
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.09/1.46 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.09/1.46 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, hAPP(
% 1.09/1.46 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.09/1.46 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OMin',
% 1.09/1.46 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Int_OMin',
% 1.09/1.46 'tc_Int_Oint' ) ) ],
% 1.09/1.46 [ 'c_HOL_Oord__class_Oless'( X, 'c_Int_OMin', 'tc_Int_Oint' ), ~(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OMin',
% 1.09/1.46 'tc_Int_Oint' ) ) ],
% 1.09/1.46 [ 'c_lessequals'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.09/1.46 ), 'c_Fact_Ofact__class_Ofact'( X, 'tc_nat' ), 'tc_nat' ) ],
% 1.09/1.46 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc', Z ) ), X ), hAPP(
% 1.09/1.46 hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc', Z ) ), Y )
% 1.09/1.46 , 'tc_nat' ) ) ],
% 1.09/1.46 [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.09/1.46 hAPP( 'c_Suc', X ) ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.46 'tc_nat' ), hAPP( 'c_Suc', X ) ), Z ), 'tc_nat' ), ~( 'c_lessequals'( Y,
% 1.09/1.46 Z, 'tc_nat' ) ) ],
% 1.09/1.46 [ 'c_lessequals'( hAPP( 'c_Suc', X ), hAPP( 'c_Suc', X ), 'tc_nat' ) ]
% 1.09/1.46 ,
% 1.09/1.46 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ), ~(
% 1.09/1.46 'c_Parity_Oeven__odd__class_Oeven'( hAPP( 'c_Suc', X ), 'tc_nat' ) ) ]
% 1.09/1.46 ,
% 1.09/1.46 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( 'c_Suc', X ), 'tc_nat' ),
% 1.09/1.46 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.09/1.46 [ =( 'c_Fact_Ofact__class_Ofact'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.09/1.46 , 'tc_nat' ), hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ]
% 1.09/1.46 ,
% 1.09/1.46 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP(
% 1.09/1.46 'c_HOL_Oabs__class_Oabs'( X ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.09/1.46 X ), Y ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.09/1.46 ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.09/1.46 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.09/1.46 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.09/1.46 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 1.09/1.46 , ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.09/1.46 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.09/1.46 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X )
% 1.09/1.46 , ~( 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.46 Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.09/1.46 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.09/1.46 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X )
% 1.09/1.46 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.09/1.46 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.09/1.46 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X )
% 1.09/1.46 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) )
% 1.09/1.46 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.09/1.46 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.09/1.46 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X )
% 1.09/1.46 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.09/1.46 , ~( 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.09/1.46 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.09/1.46 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.09/1.46 , ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.46 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.09/1.46 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.09/1.46 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.09/1.46 , ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.09/1.46 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.09/1.46 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.09/1.46 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 1.09/1.46 , ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.09/1.46 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.09/1.46 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.09/1.46 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.09/1.46 , ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.09/1.46 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.09/1.46 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.09/1.46 , ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.09/1.46 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.09/1.46 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ), ~(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 1.09/1.46 ,
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.09/1.46 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.09/1.46 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.09/1.46 , ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.46 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.09/1.46 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.09/1.46 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ) ), ~(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.09/1.46 ,
% 1.09/1.46 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.09/1.46 'c_Finite__Set_Osetsum'( 'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.09/1.46 Y, X, X, Z ), T, Z, X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.09/1.46 'c_Finite__Set_Osetsum'( Y, T, Z, X ) ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.09/1.46 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Y
% 1.09/1.46 , 'tc_nat' ), 'tc_nat' ) ), =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.09/1.46 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_lessequals'(
% 1.09/1.46 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ),
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.09/1.46 , 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP(
% 1.09/1.46 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.09/1.46 X ), Y ) ), Y ) ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y, hAPP(
% 1.09/1.46 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.09/1.46 X ), Y ) ) ) ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y, hAPP(
% 1.09/1.46 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.09/1.46 X ), Y ) ) ) ],
% 1.09/1.46 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP(
% 1.09/1.46 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.09/1.46 X ), Y ) ), Y ) ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP(
% 1.09/1.46 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.09/1.46 X ), Y ) ), Y ) ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.09/1.46 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.09/1.46 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 1.09/1.46 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 1.09/1.46 ,
% 1.09/1.46 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.09/1.46 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.09/1.46 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ]
% 1.09/1.46 ,
% 1.09/1.46 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.09/1.46 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.09/1.46 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.09/1.46 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), Y, X ) ) ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.09/1.46 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.09/1.46 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.09/1.46 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), Y, X ) ) ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.09/1.46 'c_HOL_Oord__class_Oless'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.09/1.46 Z ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, hAPP(
% 1.09/1.46 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.09/1.46 'c_HOL_Oord__class_Oless'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.09/1.46 Z ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, hAPP(
% 1.09/1.46 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.09/1.46 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z, X ),
% 1.09/1.46 ~( 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), Y, X )
% 1.09/1.46 ) ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.09/1.46 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z, X ),
% 1.09/1.46 ~( 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), Y, X )
% 1.09/1.46 ) ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.09/1.46 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ),
% 1.09/1.46 ~( 'c_lessequals'( Z, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X )
% 1.09/1.46 ) ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.09/1.46 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ),
% 1.09/1.46 ~( 'c_lessequals'( Z, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X )
% 1.09/1.46 ) ],
% 1.09/1.46 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 1.09/1.46 'class_RealVector_Ometric__space'( Y ) ), ~(
% 1.09/1.46 'class_RealVector_Ometric__space'( Z ) ), 'c_Lim_OLIM'( 'c_COMBB'( T, U,
% 1.09/1.46 X, Y, Z ), W, hAPP( T, V0 ), Z, Y ), ~( 'c_Lim_OLIM'( U, W, V0, Z, X ) )
% 1.09/1.46 , ~( 'c_Lim_OLIM'( T, V0, hAPP( T, V0 ), X, Y ) ) ],
% 1.09/1.46 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 1.09/1.46 'class_RealVector_Ometric__space'( Y ) ), ~(
% 1.09/1.46 'class_RealVector_Ometric__space'( Z ) ), 'c_Lim_OisCont'( 'c_COMBB'( T,
% 1.09/1.46 U, Z, Y, X ), W, X, Y ), ~( 'c_Lim_OisCont'( T, hAPP( U, W ), Z, Y ) ),
% 1.09/1.46 ~( 'c_Lim_OisCont'( U, W, X, Z ) ) ],
% 1.09/1.46 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ),
% 1.09/1.46 'c_Deriv_Odifferentiable'( 'c_COMBB'( Y, Z, X, X, X ), T, X ), ~(
% 1.09/1.46 'c_Deriv_Odifferentiable'( Z, T, X ) ), ~( 'c_Deriv_Odifferentiable'( Y,
% 1.09/1.46 hAPP( Z, T ), X ) ) ],
% 1.09/1.46 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 1.09/1.46 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBB'( hAPP(
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( X ), Z ), T, X, X, Y ), U,
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_Lim_OLIM'( T, U,
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.09/1.46 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 1.09/1.46 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBB'( hAPP(
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( X ), Z ), T, X, X, Y ), U,
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_Lim_OLIM'( T, U,
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.09/1.46 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.09/1.46 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBB'( Z,
% 1.09/1.46 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), X, Y, X ),
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ), hAPP( Z, T ), X, Y ), ~( 'c_Lim_OLIM'( Z
% 1.09/1.46 , T, hAPP( Z, T ), X, Y ) ) ],
% 1.09/1.46 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.09/1.46 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( Z, T, hAPP( Z, T
% 1.09/1.46 ), X, Y ), ~( 'c_Lim_OLIM'( 'c_COMBB'( Z, hAPP(
% 1.09/1.46 'c_HOL_Oplus__class_Oplus'( X ), T ), X, Y, X ),
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ), hAPP( Z, T ), X, Y ) ) ],
% 1.09/1.46 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 1.09/1.46 'class_RealVector_Oreal__normed__vector'( Y ) ), 'c_Lim_OLIM'( 'c_COMBB'(
% 1.09/1.46 Z, hAPP( 'c_HOL_Oplus__class_Oplus'( Y ), T ), Y, X, Y ),
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( Y ), U, Y, X ), ~( 'c_Lim_OLIM'( Z, T, U, Y,
% 1.09/1.46 X ) ) ],
% 1.09/1.46 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 1.09/1.46 'class_RealVector_Oreal__normed__vector'( Y ) ), 'c_Lim_OLIM'( Z, T, U, Y
% 1.09/1.46 , X ), ~( 'c_Lim_OLIM'( 'c_COMBB'( Z, hAPP( 'c_HOL_Oplus__class_Oplus'( Y
% 1.09/1.46 ), T ), Y, X, Y ), 'c_HOL_Ozero__class_Ozero'( Y ), U, Y, X ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.09/1.46 X ), Y ) ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP(
% 1.09/1.46 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =( hAPP(
% 1.09/1.46 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.46 X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =( hAPP(
% 1.09/1.46 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.09/1.46 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =( hAPP( hAPP(
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.09/1.46 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =( hAPP( hAPP(
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.09/1.46 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.09/1.46 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.46 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.09/1.46 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.46 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.09/1.46 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.46 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.09/1.46 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.46 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.09/1.46 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.09/1.46 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.09/1.46 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP( hAPP(
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y
% 1.09/1.46 ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ) ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.09/1.46 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.09/1.46 ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.09/1.46 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.09/1.46 ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.09/1.46 X ), Y ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( hAPP( hAPP(
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.09/1.46 X ), Y ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ) ],
% 1.09/1.46 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP(
% 1.09/1.46 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP(
% 1.09/1.46 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ) ],
% 1.09/1.46 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP(
% 1.09/1.46 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP(
% 1.09/1.46 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ) ],
% 1.09/1.46 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.09/1.46 X ), Y ) ), Z ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ) ],
% 1.09/1.46 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.09/1.46 X ), Y ) ), Z ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP(
% 1.09/1.46 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP(
% 1.09/1.46 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP(
% 1.09/1.46 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.09/1.46 X ), Y ) ), Z ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP(
% 1.09/1.46 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.46 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.09/1.46 'c_HOL_Oabs__class_Oabs'( X ), Y ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.09/1.46 , Z ) ) ) ],
% 1.09/1.46 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_Lim_OLIM'(
% 1.09/1.46 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z, hAPP( hAPP(
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X, X ) ],
% 1.09/1.46 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_Lim_OisCont'(
% 1.09/1.46 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z, X, X ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 1.09/1.46 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.46 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =( hAPP(
% 1.09/1.46 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.46 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =( hAPP(
% 1.09/1.46 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.46 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =( hAPP( hAPP(
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ) ), =( Y, hAPP(
% 1.09/1.46 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), =( Y, Z ) ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~( =(
% 1.09/1.46 hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.09/1.46 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP(
% 1.09/1.46 'c_HOL_Oabs__class_Oabs'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), X ) ) ]
% 1.09/1.46 ,
% 1.09/1.46 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.09/1.46 'tc_Int_Oint' ), X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.09/1.46 'tc_Int_Oint' ), Z ), Y ), 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.46 X, Z, 'tc_Int_Oint' ) ) ],
% 1.09/1.46 [ 'c_lessequals'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.09/1.46 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.09/1.46 'tc_nat' ), ~( 'c_lessequals'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.46 'tc_nat' ) ), Y, 'tc_nat' ) ), ~( 'c_lessequals'( hAPP( 'c_Suc',
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X, 'tc_nat' ) ) ],
% 1.09/1.46 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 1.09/1.46 ,
% 1.09/1.46 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 1.09/1.46 [ 'c_lessequals'( X, X, 'tc_nat' ) ],
% 1.09/1.46 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( Z, Y, 'tc_nat' )
% 1.09/1.46 ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 1.09/1.46 [ 'c_lessequals'( X, X, 'tc_nat' ) ],
% 1.09/1.46 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.09/1.46 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 1.09/1.46 , X ) ) ],
% 1.09/1.46 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.09/1.46 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 1.09/1.46 , X ) ) ],
% 1.09/1.46 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.09/1.46 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.09/1.46 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.46 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.09/1.46 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 1.09/1.46 ) ) ],
% 1.09/1.46 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.09/1.46 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 1.09/1.46 ) ) ],
% 1.09/1.46 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.09/1.46 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 1.09/1.46 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( 'c_Suc',
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), hAPP( 'c_Suc',
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.09/1.46 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 1.09/1.46 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OisCont'( Z, T, X, Y ),
% 1.09/1.46 ~( 'c_Lim_OLIM'( Z, T, hAPP( Z, T ), X, Y ) ) ],
% 1.09/1.46 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 1.09/1.46 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( Z, T, hAPP( Z, T
% 1.09/1.46 ), X, Y ), ~( 'c_Lim_OisCont'( Z, T, X, Y ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.09/1.46 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.46 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.09/1.46 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.09/1.46 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.09/1.46 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.09/1.46 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.46 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.09/1.46 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.09/1.46 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.09/1.46 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.09/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.09/1.46 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.09/1.46 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), X ), =( Y,
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'(
% 1.09/1.46 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.09/1.46 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.09/1.46 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.09/1.46 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), X ) ), ~(
% 1.09/1.46 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Y
% 1.09/1.46 , 'tc_nat' ), 'tc_nat' ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.09/1.46 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), 'c_lessequals'(
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.09/1.46 'c_Power_Opower__class_Opower'( X ), Z ), Y ), X ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.09/1.46 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ),
% 1.09/1.46 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.09/1.46 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ) ),
% 1.09/1.46 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.09/1.46 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ),
% 1.09/1.46 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.09/1.46 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ), ~( 'c_lessequals'(
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.09/1.46 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ) ) ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.09/1.46 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP(
% 1.09/1.46 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.09/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP(
% 1.09/1.46 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ), ~(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.09/1.46 ,
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.09/1.46 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.09/1.46 Y ), X ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.09/1.46 'c_HOL_Oord__class_Oless'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.09/1.46 Y ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.46 ), X ) ) ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.09/1.46 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP(
% 1.09/1.46 'c_HOL_Oabs__class_Oabs'( X ), Y ), X ) ],
% 1.09/1.46 [ 'c_lessequals'( hAPP( 'c_Suc', X ), hAPP( 'c_Suc', Y ), 'tc_nat' ),
% 1.09/1.46 ~( 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 1.09/1.46 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( hAPP( 'c_Suc', X
% 1.09/1.46 ), hAPP( 'c_Suc', Y ), 'tc_nat' ) ) ],
% 1.09/1.46 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.09/1.46 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.09/1.46 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.09/1.46 'c_lessequals'( Z, Y, X ) ],
% 1.09/1.46 [ 'c_lessequals'( X, Y, 'tc_nat' ), 'c_lessequals'( Y, X, 'tc_nat' ) ]
% 1.09/1.46 ,
% 1.09/1.46 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.09/1.46 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.09/1.46 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.09/1.46 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.09/1.46 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 1.09/1.46 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.09/1.46 'class_Int_Onumber__ring'( X ) ), =( hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.09/1.46 , hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ),
% 1.09/1.46 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ) ), Y ) ),
% 1.09/1.46 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.09/1.46 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.09/1.46 'c_Power_Opower__class_Opower'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.09/1.46 'c_Int_OMin', X ) ), Y ), 'c_HOL_Oone__class_Oone'( X ) ), ~(
% 1.09/1.46 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.09/1.46 'class_Power_Opower'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y
% 1.09/1.46 , 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( hAPP( hAPP(
% 1.09/1.46 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.09/1.46 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ),
% 1.09/1.46 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.09/1.46 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( 'c_Suc', Z ) ), T ) ),
% 1.09/1.46 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.09/1.46 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), T ) ) ), Y ) ), ~(
% 1.09/1.46 'c_lessequals'( T, Z, 'tc_nat' ) ) ],
% 1.09/1.46 [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.09/1.46 'c_Int_OPls' ) ), 'tc_nat' ), hAPP( 'c_Suc', hAPP( 'c_Suc', hAPP( 'c_Suc'
% 1.09/1.46 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ) ],
% 1.09/1.46 [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ),
% 1.09/1.46 'tc_nat' ), hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ]
% 1.09/1.46 ,
% 1.09/1.46 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.09/1.46 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ) ),
% 1.09/1.46 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ),
% 1.09/1.46 'c_Int_Onumber__class_Onumber__of'( hAPP( hAPP(
% 1.09/1.46 'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ), X ), Y ), 'tc_nat' ) ),
% 1.09/1.46 'c_HOL_Oord__class_Oless'( Y, 'c_Int_OPls', 'tc_Int_Oint' ),
% 1.09/1.46 'c_HOL_Oord__class_Oless'( X, 'c_Int_OPls', 'tc_Int_Oint' ) ],
% 1.09/1.46 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.09/1.46 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ) ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.09/1.46 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), Z ) ),
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X
% 1.09/1.46 , 'c_Int_OPls', 'tc_Int_Oint' ) ) ],
% 1.09/1.46 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.09/1.46 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ) ),
% 1.09/1.46 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ),
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X
% 1.09/1.46 , 'c_Int_OPls', 'tc_Int_Oint' ) ) ],
% 1.09/1.46 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), hAPP(
% 1.09/1.46 'c_Suc', hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'(
% 1.09/1.46 'tc_nat' ) ) ), Y ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ]
% 1.09/1.46 ,
% 1.09/1.46 [ =( 'c_Fact_Ofact__class_Ofact'( X, 'tc_nat' ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ),
% 1.09/1.46 'c_Fact_Ofact__class_Ofact'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.09/1.46 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), 'tc_nat' ) ) ),
% 1.09/1.46 =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.09/1.46 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.09/1.46 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), U ), T ), 'tc_nat' ), 'tc_nat', X
% 1.09/1.46 ), 'c_Finite__Set_Osetsum'( 'c_COMBB'( Y, 'c_COMBC'(
% 1.09/1.46 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), T, 'tc_nat', 'tc_nat', 'tc_nat' )
% 1.09/1.46 , 'tc_nat', X, 'tc_nat' ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.09/1.46 Z, U, 'tc_nat' ), 'tc_nat', X ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.09/1.46 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.46 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.09/1.46 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.09/1.46 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP(
% 1.09/1.46 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.09/1.46 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.09/1.46 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ) ],
% 1.09/1.46 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 1.09/1.46 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBB'( hAPP(
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( X ), Z ), T, X, X, Y ), U, hAPP( hAPP(
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( X ), Z ), W ), Y, X ), ~( 'c_Lim_OLIM'( T,
% 1.09/1.46 U, W, Y, X ) ) ],
% 1.09/1.46 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_Finite__Set_Osetsum'( Z, T, U
% 1.09/1.46 , X ) ), 'c_Finite__Set_Osetsum'( 'c_COMBB'( hAPP(
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z, X, X, U ), T, U, X ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), =( hAPP( hAPP(
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_Finite__Set_Osetsum'( Z, T, U
% 1.09/1.46 , X ) ), 'c_Finite__Set_Osetsum'( 'c_COMBB'( hAPP(
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z, X, X, U ), T, U, X ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.09/1.46 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ) ), =( T, U ), =( Z,
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =( hAPP(
% 1.09/1.46 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.46 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =( hAPP(
% 1.09/1.46 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.46 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( hAPP(
% 1.09/1.46 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.09/1.46 ,
% 1.09/1.46 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.09/1.46 'c_Int_Onumber__class_Onumber__of'( hAPP( hAPP(
% 1.09/1.46 'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ), Y ), Z ), X ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Oplus__class_Oplus'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.09/1.46 ) ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ) ],
% 1.09/1.46 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.09/1.46 'c_HOL_Oplus__class_Oplus'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.09/1.46 ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.09/1.46 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T ) ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Oplus__class_Oplus'( X ), 'c_Int_Onumber__class_Onumber__of'( hAPP(
% 1.09/1.46 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ), Y ), Z ), X ) ), T ) )
% 1.09/1.46 ],
% 1.09/1.46 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.09/1.46 'c_HOL_Oplus__class_Oplus'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.09/1.46 ) ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ),
% 1.09/1.46 'c_Int_Onumber__class_Onumber__of'( hAPP( hAPP(
% 1.09/1.46 'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ), Y ), Z ), X ) ) ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.09/1.46 'c_HOL_Ominus__class_Ominus'( X ), Y ), hAPP(
% 1.09/1.46 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.09/1.46 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP(
% 1.09/1.46 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.09/1.46 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.09/1.46 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP(
% 1.09/1.46 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.09/1.46 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP(
% 1.09/1.46 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.09/1.46 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP(
% 1.09/1.46 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.09/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Z, X ) ), ~(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.09/1.46 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP(
% 1.09/1.46 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.09/1.46 X ), 'c_HOL_Oone__class_Oone'( X ) ) ), Y ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.09/1.46 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.09/1.46 , Y ), 'c_HOL_Oone__class_Oone'( X ) ), X ) ],
% 1.09/1.46 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_Lim_OisCont'(
% 1.09/1.46 'c_COMBC'( 'c_HOL_Otimes__class_Otimes'( X ), Y, X, X, X ), Z, X, X ) ]
% 1.09/1.46 ,
% 1.09/1.46 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_Lim_OLIM'(
% 1.09/1.46 'c_COMBC'( 'c_HOL_Otimes__class_Otimes'( X ), Y, X, X, X ), Z, hAPP( hAPP(
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ), X, X ) ],
% 1.09/1.46 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.09/1.46 'c_COMBB'( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z, X, X,
% 1.09/1.46 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.09/1.46 , ~( 'c_SEQ_OLIMSEQ'( Z, T, X ) ) ],
% 1.09/1.46 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 1.09/1.46 'c_Series_Osummable'( 'c_COMBB'( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.09/1.46 , Y ), Z, X, X, 'tc_nat' ), X ), ~( 'c_Series_Osummable'( Z, X ) ) ],
% 1.09/1.46 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 1.09/1.46 'c_Series_Osummable'( 'c_COMBB'( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.09/1.46 , Y ), Z, X, X, 'tc_nat' ), X ), ~( 'c_Series_Osummable'( Z, X ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.09/1.46 'c_Groebner__Basis_Ogb__semiring'( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( X ), 'c_Power_Opower__class_Opower'( X ),
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ), X ) ]
% 1.09/1.46 ,
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.09/1.46 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP(
% 1.09/1.46 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.09/1.46 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 1.09/1.46 [ ~( 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 1.09/1.46 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP(
% 1.09/1.46 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.09/1.46 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.09/1.46 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP(
% 1.09/1.46 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.09/1.46 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), Y ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.09/1.46 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP(
% 1.09/1.46 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.09/1.46 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.09/1.46 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.09/1.46 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.09/1.46 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), Y ), hAPP( hAPP(
% 1.09/1.46 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ) ) ],
% 1.09/1.46 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.09/1.46 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ),
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.46 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.46 ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.09/1.46 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.46 'c_Int_OBit1'( 'c_Int_OPls' ), Y, 'tc_Int_Oint' ), ~(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.09/1.46 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.09/1.46 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.46 'c_HOL_Oone__class_Oone'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.09/1.46 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( 'c_Int_OPls' ), Y,
% 1.09/1.46 'tc_Int_Oint' ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.09/1.46 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.09/1.46 'c_Int_OBit1'( 'c_Int_OPls' ), 'tc_Int_Oint' ), ~(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.09/1.46 'c_HOL_Oone__class_Oone'( X ), X ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.09/1.46 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.09/1.46 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.09/1.46 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Int_OBit1'( 'c_Int_OPls' ),
% 1.09/1.46 'tc_Int_Oint' ) ) ],
% 1.09/1.46 [ ~( 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 1.09/1.46 'c_Power_Opower__class_Opower'( X ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.46 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.09/1.46 'c_Power_Opower__class_Opower'( X ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.46 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.09/1.46 'c_HOL_Oone__class_Oone'( X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'(
% 1.09/1.46 X ), Y ), Z ), X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y,
% 1.09/1.46 X ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( hAPP( hAPP(
% 1.09/1.46 'c_Power_Opower__class_Opower'( X ), Y ), Z ), hAPP( hAPP(
% 1.09/1.46 'c_Power_Opower__class_Opower'( X ), Y ), T ) ) ), ~(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), =( Z
% 1.09/1.46 , T ) ],
% 1.09/1.46 [ 'c_HOL_Oord__class_Oless'( X, 'c_Int_OPls', 'tc_Int_Oint' ), ~(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OPls',
% 1.09/1.46 'tc_Int_Oint' ) ) ],
% 1.09/1.46 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OPls',
% 1.09/1.46 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Int_OPls',
% 1.09/1.46 'tc_Int_Oint' ) ) ],
% 1.09/1.46 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ), ~(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OBit0'( Y ),
% 1.09/1.46 'tc_Int_Oint' ) ) ],
% 1.09/1.46 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OBit0'( Y ),
% 1.09/1.46 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ) ) ]
% 1.09/1.46 ,
% 1.09/1.46 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.09/1.46 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.09/1.46 , Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), Z, X )
% 1.09/1.46 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ),
% 1.09/1.46 'c_Divides_Odiv__class_Odiv'( Y, Z, X ) ) ), =( Z,
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.46 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.09/1.46 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.09/1.46 , Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), T, X )
% 1.09/1.46 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ),
% 1.09/1.46 'c_Divides_Odiv__class_Odiv'( Y, T, X ) ) ), =( T,
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.46 X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.09/1.46 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), X
% 1.09/1.46 ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.09/1.46 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ), 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.09/1.46 ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.09/1.46 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.46 X ), X ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.09/1.46 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.46 X ), Y ), Y ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z )
% 1.09/1.46 ), X ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.09/1.46 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.46 X ), Z ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y )
% 1.09/1.46 ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.09/1.46 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.46 X ), Y ), Y ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z )
% 1.09/1.46 ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.09/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.46 X ), Y ), Y ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z )
% 1.09/1.46 ), X ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.09/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.46 X ), Y ), Y ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z )
% 1.09/1.46 ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP(
% 1.09/1.46 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.09/1.46 ), Y ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP(
% 1.09/1.46 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.09/1.46 ), Z ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ) ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.09/1.46 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T )
% 1.09/1.46 , X ), ~( 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 1.09/1.46 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ), X ) ) ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.09/1.46 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.09/1.46 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.09/1.46 , 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.09/1.46 , Y ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ),
% 1.09/1.46 ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.09/1.46 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.46 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.09/1.46 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.09/1.46 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.09/1.46 , 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.09/1.46 , Y ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ),
% 1.09/1.46 ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.09/1.46 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.09/1.46 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Y ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ) ) ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP(
% 1.09/1.46 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.09/1.46 ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ) ), hAPP(
% 1.09/1.46 'c_HOL_Oabs__class_Oabs'( X ), Z ) ) ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y )
% 1.09/1.46 ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Z ) ) ) ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.09/1.46 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.09/1.46 ), Y ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), Z ) ]
% 1.09/1.46 ,
% 1.09/1.46 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.09/1.46 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.09/1.46 ), Y ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ), Z ) ]
% 1.09/1.46 ,
% 1.09/1.46 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.09/1.46 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.09/1.46 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.09/1.46 T, X ) ) ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.09/1.46 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.09/1.46 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 1.09/1.46 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.09/1.46 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.09/1.46 ), Y ) ), Z ) ), Z ) ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.09/1.46 , 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.09/1.46 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~(
% 1.09/1.46 'c_lessequals'( Y, T, X ) ) ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.09/1.46 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.09/1.46 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.09/1.46 , 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.09/1.46 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~(
% 1.09/1.46 'c_lessequals'( Z, T, X ) ) ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.09/1.46 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.09/1.46 'c_HOL_Oplus__class_Oplus'( X ), T ), Y ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ) ) ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.09/1.46 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.09/1.46 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~(
% 1.09/1.46 'c_lessequals'( Y, T, X ) ) ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.09/1.46 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.09/1.46 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~(
% 1.09/1.46 'c_lessequals'( Z, T, X ) ) ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.09/1.46 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ),
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.46 ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.09/1.46 X ) ), ~( =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) )
% 1.09/1.46 , =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 1.09/1.46 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.09/1.46 , 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.09/1.46 ,
% 1.09/1.46 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.09/1.46 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), Z ) ), =( Y, hAPP(
% 1.09/1.46 'c_HOL_Ouminus__class_Ouminus'( X ), T ) ) ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 1.09/1.46 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.09/1.46 Y ) ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 1.09/1.46 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 1.09/1.46 Y ) ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.09/1.46 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.09/1.46 Y ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.09/1.46 X ) ), =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.09/1.46 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 1.09/1.46 Y ) ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.09/1.46 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 1.09/1.46 Y ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.09/1.46 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.09/1.46 Y ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.09/1.46 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 1.09/1.46 Y ) ],
% 1.09/1.46 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.09/1.46 'c_Int_OMin', X ) ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.09/1.46 ) ],
% 1.09/1.46 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.09/1.46 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ) ), hAPP(
% 1.09/1.46 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.09/1.46 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.09/1.46 , Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.09/1.46 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.09/1.46 X ), Y ), Z ) ), T, X ) ) ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.09/1.46 'c_lessequals'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y )
% 1.09/1.46 ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Z ) ), X ) ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.09/1.46 'c_lessequals'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.09/1.46 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) )
% 1.09/1.46 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.09/1.46 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.09/1.46 X ), Y ), T ) ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Ominus__class_Ominus'( X ), Z ), U ) ) ), X ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.09/1.46 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP(
% 1.09/1.46 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T, X ), ~(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.09/1.46 , Z ), T ), X ) ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.09/1.46 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ), Y, X ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.09/1.46 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), Y, X ), ~(
% 1.09/1.46 'c_lessequals'( Z, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.09/1.46 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.09/1.46 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.09/1.46 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), Z, X ), ~(
% 1.09/1.46 'c_lessequals'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.09/1.46 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.09/1.46 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.09/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.09/1.46 'c_HOL_Oone__class_Oone'( X ) ), X ) ],
% 1.09/1.46 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.09/1.46 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.09/1.46 , Y ), Z ), Z, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.09/1.46 'c_Divides_Odiv__class_Odiv'( Y, Z, X ) ), 'c_HOL_Oone__class_Oone'( X )
% 1.09/1.46 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.46 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.09/1.46 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.09/1.46 , Y ), Z ), Y, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.09/1.46 'c_Divides_Odiv__class_Odiv'( Z, Y, X ) ), 'c_HOL_Oone__class_Oone'( X )
% 1.09/1.46 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.09/1.46 'c_HOL_Ominus__class_Ominus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.09/1.46 X ), Y ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP(
% 1.09/1.46 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ) ) ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP(
% 1.09/1.46 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.09/1.46 X ), Y ), Z ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Ominus__class_Ominus'( X ), Z ), Y ) ) ) ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.09/1.46 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), 'c_lessequals'( U, T, X
% 1.09/1.46 ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.09/1.46 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), 'c_lessequals'( Z, Y, X
% 1.09/1.46 ), ~( 'c_lessequals'( U, T, X ) ) ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.09/1.46 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ),
% 1.09/1.46 'c_HOL_Oord__class_Oless'( T, U, X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 1.09/1.46 , X ) ) ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.09/1.46 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ),
% 1.09/1.46 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( T, U
% 1.09/1.46 , X ) ) ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.09/1.46 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.46 X ) ) ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.09/1.46 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.46 X ) ) ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.09/1.46 'c_HOL_Ominus__class_Ominus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.09/1.46 , Y ) ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.09/1.46 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.46 X ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.09/1.46 X ) ), =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ),
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.09/1.46 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.46 X ) ) ), =( Y, Z ) ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP( hAPP(
% 1.09/1.46 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.46 X ) ) ), =( Y, Z ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.09/1.46 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ),
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP(
% 1.09/1.46 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Ominus__class_Ominus'( X ), Z ), Y ) ) ],
% 1.09/1.46 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.09/1.46 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ), hAPP(
% 1.09/1.46 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ]
% 1.09/1.46 ,
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.09/1.46 'class_Int_Onumber__ring'( X ) ), =( hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.09/1.46 , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ) ),
% 1.09/1.46 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.09/1.46 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP(
% 1.09/1.46 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.09/1.46 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP(
% 1.09/1.46 'c_HOL_Oabs__class_Oabs'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.09/1.46 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 1.09/1.46 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.09/1.46 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.09/1.46 'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 1.09/1.46 ],
% 1.09/1.46 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.09/1.46 'c_Power_Opower__class_Opower'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.09/1.46 'c_Int_OMin', X ) ), Y ), 'c_Int_Onumber__class_Onumber__of'(
% 1.09/1.46 'c_Int_OMin', X ) ), 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ]
% 1.09/1.46 ,
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP(
% 1.09/1.46 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.09/1.46 X ), 'c_HOL_Oone__class_Oone'( X ) ) ), Y ), hAPP(
% 1.09/1.46 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ),
% 1.09/1.46 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.09/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), hAPP( hAPP(
% 1.09/1.46 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), X ), ~(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.09/1.46 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 1.09/1.46 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( X ) )
% 1.09/1.46 ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.09/1.46 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ), hAPP( hAPP(
% 1.09/1.46 'c_Power_Opower__class_Opower'( X ), Y ), T ), X ), ~( 'c_lessequals'(
% 1.09/1.46 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), ~( 'c_lessequals'( Z, T,
% 1.09/1.46 'tc_nat' ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP(
% 1.09/1.46 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.09/1.46 X ), 'c_HOL_Oone__class_Oone'( X ) ) ), Y ), 'c_HOL_Oone__class_Oone'( X
% 1.09/1.46 ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ) ],
% 1.09/1.46 [ =( 'c_Int_OBit1'( 'c_Int_OMin' ), 'c_Int_OMin' ) ],
% 1.09/1.46 [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OMin' ) ), =( X, 'c_Int_OMin' ) ]
% 1.09/1.46 ,
% 1.09/1.46 [ ~( =( 'c_Int_OMin', 'c_Int_OBit1'( X ) ) ), =( 'c_Int_OMin', X ) ]
% 1.09/1.46 ,
% 1.09/1.46 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OBit1'( Y ),
% 1.09/1.46 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ) ) ]
% 1.09/1.46 ,
% 1.09/1.46 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ), ~(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OBit1'( Y ),
% 1.09/1.46 'tc_Int_Oint' ) ) ],
% 1.09/1.46 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OBit1'( Y ),
% 1.09/1.46 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ) ) ]
% 1.09/1.46 ,
% 1.09/1.46 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ), ~(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OBit1'( Y ),
% 1.09/1.46 'tc_Int_Oint' ) ) ],
% 1.09/1.46 [ =( 'c_Int_OMin', 'c_Int_OBit1'( 'c_Int_OMin' ) ) ],
% 1.09/1.46 [ ~( =( 'c_Int_OPls', 'c_Int_OMin' ) ) ],
% 1.09/1.46 [ ~( =( 'c_Int_OMin', 'c_Int_OPls' ) ) ],
% 1.09/1.46 [ ~( 'c_HOL_Oord__class_Oless'( 'c_Int_OPls', 'c_Int_OPls',
% 1.09/1.46 'tc_Int_Oint' ) ) ],
% 1.09/1.46 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ),
% 1.09/1.46 'c_Int_OPls' ), X ), X ) ],
% 1.09/1.46 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ), X ),
% 1.09/1.46 'c_Int_OPls' ), X ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~(
% 1.09/1.46 =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ),
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.46 ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.09/1.46 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.09/1.46 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.09/1.46 ), ~( =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ),
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.46 ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP(
% 1.09/1.46 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'(
% 1.09/1.46 X ), Y ), Z ) ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), hAPP(
% 1.09/1.46 'c_HOL_Oabs__class_Oabs'( X ), Y ) ), Z ) ) ],
% 1.09/1.46 [ ~( =( 'c_Int_OMin', 'c_Int_OBit0'( X ) ) ) ],
% 1.09/1.46 [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OMin' ) ) ],
% 1.09/1.46 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ), ~(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OBit0'( Y ),
% 1.09/1.46 'tc_Int_Oint' ) ) ],
% 1.09/1.46 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OBit0'( Y ),
% 1.09/1.46 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ) ) ]
% 1.09/1.46 ,
% 1.09/1.46 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ),
% 1.09/1.46 'c_Int_OBit0'( X ) ), 'c_Int_OBit1'( Y ) ), 'c_Int_OBit1'( hAPP( hAPP(
% 1.09/1.46 'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ), X ), Y ) ) ) ],
% 1.09/1.46 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ),
% 1.09/1.46 'c_Int_OBit1'( X ) ), 'c_Int_OBit0'( Y ) ), 'c_Int_OBit1'( hAPP( hAPP(
% 1.09/1.46 'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ), X ), Y ) ) ) ],
% 1.09/1.46 [ 'c_HOL_Oord__class_Oless'( X, 'c_Int_OPls', 'tc_Int_Oint' ), ~(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( 'c_Int_OBit0'( X ), 'c_Int_OPls',
% 1.09/1.46 'tc_Int_Oint' ) ) ],
% 1.09/1.46 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OBit0'( X ), 'c_Int_OPls',
% 1.09/1.46 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Int_OPls',
% 1.09/1.46 'tc_Int_Oint' ) ) ],
% 1.09/1.46 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OPls', X, 'tc_Int_Oint' ), ~(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( 'c_Int_OPls', 'c_Int_OBit0'( X ),
% 1.09/1.46 'tc_Int_Oint' ) ) ],
% 1.09/1.46 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OPls', 'c_Int_OBit0'( X ),
% 1.09/1.46 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( 'c_Int_OPls', X,
% 1.09/1.46 'tc_Int_Oint' ) ) ],
% 1.09/1.46 [ =( hAPP( 'c_Suc', hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.09/1.46 ) ) ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.09/1.46 'c_Int_OPls' ) ), 'tc_nat' ) ) ],
% 1.09/1.46 [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( 'c_Suc', hAPP( 'c_Suc', X ) ),
% 1.09/1.46 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.09/1.46 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ), hAPP( 'c_Suc',
% 1.09/1.46 'c_Divides_Odiv__class_Odiv'( X, 'c_Int_Onumber__class_Onumber__of'(
% 1.09/1.46 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ) )
% 1.09/1.46 ) ],
% 1.09/1.46 [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.09/1.46 'c_Int_OPls' ) ), 'tc_nat' ), hAPP( 'c_Suc', hAPP( 'c_Suc',
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 1.09/1.46 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.09/1.46 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.09/1.46 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit0'(
% 1.09/1.46 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat' ), 'tc_nat' ), 'tc_nat', X )
% 1.09/1.46 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.09/1.46 X ), hAPP( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), hAPP( Y,
% 1.09/1.46 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ), hAPP( Y,
% 1.09/1.46 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.09/1.46 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ), hAPP( Y,
% 1.09/1.46 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.09/1.46 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ) ],
% 1.09/1.46 [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', 'tc_nat' ),
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.09/1.46 [ =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.09/1.46 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', 'tc_nat' ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.09/1.46 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.09/1.46 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.09/1.46 ), ~( =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.09/1.46 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ),
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.46 ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.09/1.46 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', hAPP( hAPP(
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.09/1.46 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.09/1.46 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ), X ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.09/1.46 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.09/1.46 ), Y ), hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.46 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.09/1.46 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ),
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.46 [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( 'c_Suc', hAPP( 'c_Suc', hAPP(
% 1.09/1.46 'c_Suc', X ) ) ), Y, 'tc_nat' ), 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP(
% 1.09/1.46 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.09/1.46 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.09/1.46 'c_Int_OPls' ) ), 'tc_nat' ) ), X ), Y, 'tc_nat' ) ) ],
% 1.09/1.46 [ =( 'c_Divides_Odiv__class_Odiv'( X, hAPP( 'c_Suc', hAPP( 'c_Suc', hAPP(
% 1.09/1.46 'c_Suc', Y ) ) ), 'tc_nat' ), 'c_Divides_Odiv__class_Odiv'( X, hAPP( hAPP(
% 1.09/1.46 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.09/1.46 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.09/1.46 'c_Int_OPls' ) ), 'tc_nat' ) ), Y ), 'tc_nat' ) ) ],
% 1.09/1.46 [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( 'c_Suc', hAPP( 'c_Suc', hAPP(
% 1.09/1.46 'c_Suc', X ) ) ), 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.09/1.46 'tc_nat' ), 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP(
% 1.09/1.46 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.09/1.46 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.09/1.46 'c_Int_OPls' ) ), 'tc_nat' ) ), X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.09/1.46 Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.09/1.46 [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP(
% 1.09/1.46 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'(
% 1.09/1.46 'tc_nat' ) ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.09/1.46 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ), hAPP( 'c_Suc',
% 1.09/1.46 'c_Divides_Odiv__class_Odiv'( X, 'c_Int_Onumber__class_Onumber__of'(
% 1.09/1.46 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ) )
% 1.09/1.46 ), 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.09/1.46 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc'
% 1.09/1.46 , X ) ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ),
% 1.09/1.46 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.09/1.46 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), hAPP(
% 1.09/1.46 'c_Suc', Y ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 1.09/1.46 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.09/1.46 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP(
% 1.09/1.46 hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), T ) ) ) ), =( Z, T ), =( Y
% 1.09/1.46 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.09/1.46 [ 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat'
% 1.09/1.46 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ) ), Z ),
% 1.09/1.46 'tc_nat' ), ~( 'c_lessequals'( Z, Y, 'tc_nat' ) ) ],
% 1.09/1.46 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), hAPP(
% 1.09/1.46 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ),
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.09/1.46 [ 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat'
% 1.09/1.46 ), Y ), Z ), 'tc_nat' ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.09/1.46 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ), Y, 'tc_nat' ) ), ~(
% 1.09/1.46 'c_lessequals'( Z, Y, 'tc_nat' ) ) ],
% 1.09/1.46 [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X
% 1.09/1.46 ), Y ), Z, 'tc_nat' ), ~( 'c_lessequals'( X, hAPP( hAPP(
% 1.09/1.46 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), Y ), 'tc_nat' ) ), ~(
% 1.09/1.46 'c_lessequals'( Y, Z, 'tc_nat' ) ) ],
% 1.09/1.46 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Z ) ), Y ) ), ~(
% 1.09/1.46 'c_lessequals'( Z, X, 'tc_nat' ) ) ],
% 1.09/1.46 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ) ), ~( 'c_lessequals'(
% 1.09/1.46 Z, Y, 'tc_nat' ) ) ],
% 1.09/1.46 [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ),
% 1.09/1.46 X ), Y ), Z, 'tc_nat' ), ~( 'c_lessequals'( X, hAPP( hAPP(
% 1.09/1.46 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ), 'tc_nat' ) ) ],
% 1.09/1.46 [ 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.09/1.46 , Y ), Z ), 'tc_nat' ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.09/1.46 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Z ), Y, 'tc_nat' ) ) ]
% 1.09/1.46 ,
% 1.09/1.46 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), hAPP(
% 1.09/1.46 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ), Y ) ), ~(
% 1.09/1.46 'c_lessequals'( Z, Y, 'tc_nat' ) ) ],
% 1.09/1.46 [ ~( 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat'
% 1.09/1.46 ), Y ), X ), 'tc_nat' ) ), =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.09/1.46 'tc_nat' ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X )
% 1.09/1.46 ), X ), Y ) ],
% 1.09/1.46 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Y ), X ), ~(
% 1.09/1.46 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 1.09/1.46 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), X ) ), Y ), ~(
% 1.09/1.46 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 1.09/1.46 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( Y, hAPP( hAPP(
% 1.09/1.46 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), X ) ), X ) ) ],
% 1.09/1.46 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ), Y ) ), ~(
% 1.09/1.46 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 1.09/1.46 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Z ) ), ~(
% 1.09/1.46 'c_lessequals'( Z, Y, 'tc_nat' ) ) ],
% 1.09/1.46 [ =( 'c_Fact_Ofact__class_Ofact'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.09/1.46 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ),
% 1.09/1.46 'c_Fact_Ofact__class_Ofact'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.09/1.46 'tc_nat' ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ),
% 1.09/1.46 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ), Y ), 'tc_nat' ) ) ), =( X,
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.09/1.46 [ =( 'c_Fact_Ofact__class_Ofact'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.09/1.46 'tc_nat' ), X ), Y ), 'tc_nat' ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ),
% 1.09/1.46 'c_Fact_Ofact__class_Ofact'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.09/1.46 'tc_nat' ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y )
% 1.09/1.46 ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), 'tc_nat' ) ) ), =( hAPP( hAPP(
% 1.09/1.46 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.09/1.46 [ =( hAPP( 'c_Suc', X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.09/1.46 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ],
% 1.09/1.46 [ =( hAPP( 'c_Suc', X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.09/1.46 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), X ) ) ],
% 1.09/1.46 [ ~( =( X, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y
% 1.09/1.46 ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 1.09/1.46 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.09/1.46 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( 'c_Suc'
% 1.09/1.46 , X ) ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), X ) ],
% 1.09/1.46 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), hAPP(
% 1.09/1.46 'c_Suc', Y ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ),
% 1.09/1.46 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ),
% 1.09/1.46 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ), Y ) ) ],
% 1.09/1.46 [ 'c_Fun_Oinj__on'( 'c_COMBC'( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X
% 1.09/1.46 , 'tc_nat', 'tc_nat', 'tc_nat' ), Y, 'tc_nat', 'tc_nat' ) ],
% 1.09/1.46 [ 'c_lessequals'( 'v_m', 'v_i', 'tc_nat' ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.09/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.09/1.46 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.09/1.46 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.09/1.46 'c_Int_OPls' ) ), 'tc_nat' ) ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.09/1.46 ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( hAPP( hAPP(
% 1.09/1.46 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.09/1.46 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.09/1.46 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP(
% 1.09/1.46 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.09/1.46 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.09/1.46 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ), =( Y, Z ), ~( 'c_lessequals'(
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.09/1.46 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.09/1.46 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.09/1.46 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.09/1.46 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.09/1.46 Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.09/1.46 ~( 'c_lessequals'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.09/1.46 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.09/1.46 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP(
% 1.09/1.46 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.09/1.46 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.09/1.46 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.09/1.46 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.09/1.46 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.09/1.46 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.09/1.46 ), Y ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.09/1.46 'c_Int_OPls' ) ), 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.09/1.46 ,
% 1.09/1.46 [ =( hAPP( hAPP( X, Y ), hAPP( 'c_Suc', hAPP( hAPP(
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.09/1.46 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.09/1.46 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ), hAPP( hAPP( T, Y ), hAPP( hAPP(
% 1.09/1.46 T, hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, Y ), Z ) ) ) ), ~(
% 1.09/1.46 'c_Groebner__Basis_Ogb__semiring'( U, T, X, W, V0, V1 ) ) ],
% 1.09/1.46 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( hAPP( 'c_Suc', hAPP( hAPP(
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.09/1.46 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.09/1.46 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ), 'tc_nat' ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.09/1.46 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ) ), U ), W, X ), ~(
% 1.09/1.46 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), U ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.46 X ), Z ), T ) ), W ), X ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.09/1.46 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.46 X ), U ), Z ) ), W ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.09/1.46 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.46 X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), U ) ), Z ) ), T
% 1.09/1.46 ), W, X ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( Y
% 1.09/1.46 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), U ) ), W ), X ), ~(
% 1.09/1.46 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), Y ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.46 X ), Z ), U ) ), W ), X ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.09/1.46 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.46 X ), U ), Z ) ), W ), X ), ~( 'c_lessequals'( T, hAPP( hAPP(
% 1.09/1.46 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.46 X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), U ), Y ) ), Z ) ), W
% 1.09/1.46 ), X ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.09/1.46 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.09/1.46 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ) ), U ), W, X ), ~(
% 1.09/1.46 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.09/1.46 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), U ), hAPP(
% 1.09/1.46 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.09/1.46 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), W ), X ) ) ],
% 1.09/1.46 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.09/1.47 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.09/1.47 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP(
% 1.09/1.47 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ), X ), ~(
% 1.09/1.47 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.09/1.47 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Ominus__class_Ominus'( X ), Y ), U ) ), Z ) ), T ), W, X ) ) ]
% 1.09/1.47 ,
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.09/1.47 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.09/1.47 , hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), U ) ), W ), X ), ~(
% 1.09/1.47 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.09/1.47 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), Y ), hAPP(
% 1.09/1.47 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ), W ), X ) ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.09/1.47 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.09/1.47 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP(
% 1.09/1.47 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ), X ), ~(
% 1.09/1.47 'c_HOL_Oord__class_Oless'( T, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.09/1.47 , hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Ominus__class_Ominus'( X ), U ), Y ) ), Z ) ), W ), X ) ) ],
% 1.09/1.47 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 1.09/1.47 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBC'(
% 1.09/1.47 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), Z, X, 'tc_fun'( X, X ), Y )
% 1.09/1.47 , T, Y, X, X ), U, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), W ), T
% 1.09/1.47 ), Y, X ), ~( 'c_Lim_OLIM'( Z, U, W, Y, X ) ) ],
% 1.09/1.47 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), 'c_Finite__Set_Osetsum'( Y, Z, T, X )
% 1.09/1.47 ), U ), 'c_Finite__Set_Osetsum'( 'c_COMBC'( 'c_COMBB'(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), Y, X, 'tc_fun'( X, X ), T ), U, T, X,
% 1.09/1.47 X ), Z, T, X ) ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), =( hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), 'c_Finite__Set_Osetsum'( Y, Z, T, X )
% 1.09/1.47 ), U ), 'c_Finite__Set_Osetsum'( 'c_COMBC'( 'c_COMBB'(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), Y, X, 'tc_fun'( X, X ), T ), U, T, X,
% 1.09/1.47 X ), Z, T, X ) ) ],
% 1.09/1.47 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.09/1.47 ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T ) ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Ominus__class_Ominus'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.09/1.47 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ), Y ), Z ), X ) )
% 1.09/1.47 , T ) ) ],
% 1.09/1.47 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( Y ), X ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.09/1.47 X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.09/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.09/1.47 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), X ), ~(
% 1.09/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.09/1.47 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.09/1.47 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP(
% 1.09/1.47 hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), X ), ~(
% 1.09/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), =( hAPP( hAPP(
% 1.09/1.47 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.09/1.47 X ), Y ) ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.09/1.47 hAPP( 'c_Power_Opower__class_Opower'( X ), hAPP(
% 1.09/1.47 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ), Z
% 1.09/1.47 ) ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ]
% 1.09/1.47 ,
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.09/1.47 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.09/1.47 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.09/1.47 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.09/1.47 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.09/1.47 'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.09/1.47 ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.09/1.47 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.09/1.47 X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.09/1.47 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.09/1.47 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.09/1.47 'c_Int_OPls' ) ), 'tc_nat' ) ) ), X ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.09/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.09/1.47 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.09/1.47 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.09/1.47 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.09/1.47 'c_Int_OPls' ) ), 'tc_nat' ) ) ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.47 X ) ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.09/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.09/1.47 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.09/1.47 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.09/1.47 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.09/1.47 'c_Int_OPls' ) ), 'tc_nat' ) ) ), X ), =( Z, 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.47 X ) ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.09/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.09/1.47 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.09/1.47 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.09/1.47 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.09/1.47 'c_Int_OPls' ) ), 'tc_nat' ) ) ), X ) ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.09/1.47 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.09/1.47 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.09/1.47 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.09/1.47 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.09/1.47 'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ]
% 1.09/1.47 ,
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.09/1.47 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.09/1.47 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.09/1.47 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.09/1.47 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.09/1.47 'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.09/1.47 ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.09/1.47 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.09/1.47 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.09/1.47 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.09/1.47 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.09/1.47 'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.09/1.47 ],
% 1.09/1.47 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.09/1.47 'c_COMBC'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), Y, X, 'tc_fun'(
% 1.09/1.47 X, X ), 'tc_nat' ), Z, 'tc_nat', X, X ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ), ~( 'c_SEQ_OLIMSEQ'( Y,
% 1.09/1.47 T, X ) ) ],
% 1.09/1.47 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 1.09/1.47 'c_Series_Osummable'( 'c_COMBC'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.47 X ), Y, X, 'tc_fun'( X, X ), 'tc_nat' ), Z, 'tc_nat', X, X ), X ), ~(
% 1.09/1.47 'c_Series_Osummable'( Y, X ) ) ],
% 1.09/1.47 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 1.09/1.47 'c_Series_Osummable'( 'c_COMBC'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.47 X ), Y, X, 'tc_fun'( X, X ), 'tc_nat' ), Z, 'tc_nat', X, X ), X ), ~(
% 1.09/1.47 'c_Series_Osummable'( Y, X ) ) ],
% 1.09/1.47 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.09/1.47 'c_COMBC'( 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'( X ), Y, X, 'tc_fun'( X
% 1.09/1.47 , X ), 'tc_nat' ), Z, 'tc_nat', X, X ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~( 'c_SEQ_OLIMSEQ'( Y, T
% 1.09/1.47 , X ) ) ],
% 1.09/1.47 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.09/1.47 'c_COMBC'( 'c_COMBB'( 'c_HOL_Ominus__class_Ominus'( X ), Y, X, 'tc_fun'(
% 1.09/1.47 X, X ), 'tc_nat' ), Z, 'tc_nat', X, X ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Ominus__class_Ominus'( X ), T ), Z ), X ), ~( 'c_SEQ_OLIMSEQ'( Y,
% 1.09/1.47 T, X ) ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.09/1.47 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.09/1.47 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.09/1.47 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.09/1.47 ) ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.09/1.47 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.09/1.47 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.09/1.47 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ), X ) ],
% 1.09/1.47 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ) ),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), ~(
% 1.09/1.47 'c_HOL_Oord__class_Oless'( X, 'c_Int_OPls', 'tc_Int_Oint' ) ) ],
% 1.09/1.47 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ) ),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ) ), ~(
% 1.09/1.47 'c_HOL_Oord__class_Oless'( Y, 'c_Int_OPls', 'tc_Int_Oint' ) ),
% 1.09/1.47 'c_HOL_Oord__class_Oless'( X, 'c_Int_OPls', 'tc_Int_Oint' ) ],
% 1.09/1.47 [ =( hAPP( 'c_Suc', hAPP( 'c_Suc', hAPP( hAPP(
% 1.09/1.47 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit0'(
% 1.09/1.47 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat' ) ), X ) ),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.09/1.47 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit0'(
% 1.09/1.47 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat' ) ), X ) ), =( X,
% 1.09/1.47 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.09/1.47 [ =( hAPP( 'c_Suc', hAPP( 'c_Suc', hAPP( hAPP(
% 1.09/1.47 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.09/1.47 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ), 'c_Int_Onumber__class_Onumber__of'(
% 1.09/1.47 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ), hAPP(
% 1.09/1.47 hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.09/1.47 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.47 'tc_nat' ) ) ],
% 1.09/1.47 [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'(
% 1.09/1.47 'tc_nat' ) ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.09/1.47 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ),
% 1.09/1.47 'c_Divides_Odiv__class_Odiv'( X, 'c_Int_Onumber__class_Onumber__of'(
% 1.09/1.47 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ) )
% 1.09/1.47 , ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.09/1.47 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ) ),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ) ), ~(
% 1.09/1.47 'c_HOL_Oord__class_Oless'( Y, 'c_Int_OPls', 'tc_Int_Oint' ) ) ],
% 1.09/1.47 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), X ) ), Z ) ), T ) ) ) ]
% 1.09/1.47 ,
% 1.09/1.47 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), T ), Y ) ), U ) ) ), ~(
% 1.09/1.47 'c_lessequals'( T, X, 'tc_nat' ) ), =( hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), T ) ), Y ) ), Z ), U ) ]
% 1.09/1.47 ,
% 1.09/1.47 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), T ), Y ) ), U ) ) ), ~(
% 1.09/1.47 'c_lessequals'( X, T, 'tc_nat' ) ), =( Z, hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ), X ) ), Y ) ), U ) ) ],
% 1.09/1.47 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), Z ) ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), T ), Y ) ), U ) ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), T ) ), Y ) ), Z ) ), U ) )
% 1.09/1.47 , ~( 'c_lessequals'( T, X, 'tc_nat' ) ) ],
% 1.09/1.47 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), Z ) ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), T ), Y ) ), U ) ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ), X ) ), Y ) ), U ) ) ), ~(
% 1.09/1.47 'c_lessequals'( X, T, 'tc_nat' ) ) ],
% 1.09/1.47 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), X ) ), Z ) ), T ) ), hAPP(
% 1.09/1.47 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ), T ) ) ],
% 1.09/1.47 [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.09/1.47 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Z ) ), T ), U,
% 1.09/1.47 'tc_nat' ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.09/1.47 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z
% 1.09/1.47 ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ), U ), 'tc_nat' ) ),
% 1.09/1.47 ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 1.09/1.47 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OBit0'( X ), 'c_Int_OBit0'( Y ),
% 1.09/1.47 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ) ) ]
% 1.09/1.47 ,
% 1.09/1.47 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ), ~(
% 1.09/1.47 'c_HOL_Oord__class_Oless'( 'c_Int_OBit0'( X ), 'c_Int_OBit0'( Y ),
% 1.09/1.47 'tc_Int_Oint' ) ) ],
% 1.09/1.47 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OBit0'( X ), 'c_Int_OBit0'( Y ),
% 1.09/1.47 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ) ) ]
% 1.09/1.47 ,
% 1.09/1.47 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ), ~(
% 1.09/1.47 'c_HOL_Oord__class_Oless'( 'c_Int_OBit0'( X ), 'c_Int_OBit0'( Y ),
% 1.09/1.47 'tc_Int_Oint' ) ) ],
% 1.09/1.47 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ),
% 1.09/1.47 'c_Int_OBit0'( X ) ), 'c_Int_OBit0'( Y ) ), 'c_Int_OBit0'( hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ), X ), Y ) ) ) ],
% 1.09/1.47 [ =( 'c_Int_OBit0'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.09/1.47 'tc_Int_Oint' ), X ), X ) ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP( hAPP(
% 1.09/1.47 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.09/1.47 , Y ) ), 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), hAPP( hAPP(
% 1.09/1.47 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ) ), ~(
% 1.09/1.47 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.09/1.47 , 'tc_nat' ), 'tc_nat' ) ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.09/1.47 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.09/1.47 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.09/1.47 ), =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ),
% 1.09/1.47 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.09/1.47 , 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ) ), =(
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.09/1.47 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.09/1.47 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 1.09/1.47 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ),
% 1.09/1.47 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_Int_Onumber__class_Onumber__of'(
% 1.09/1.47 Y, 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.09/1.47 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_lessequals'( Y,
% 1.09/1.47 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.09/1.47 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ),
% 1.09/1.47 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.09/1.47 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.09/1.47 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.09/1.47 ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.09/1.47 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( =( hAPP( hAPP(
% 1.09/1.47 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ),
% 1.09/1.47 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.09/1.47 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.09/1.47 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.09/1.47 ), Y ), 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ),
% 1.09/1.47 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.09/1.47 [ 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.09/1.47 , X ), Y ), 'tc_nat' ) ],
% 1.09/1.47 [ 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.09/1.47 , Y ), X ), 'tc_nat' ) ],
% 1.09/1.47 [ 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.09/1.47 , X ), Y ), 'tc_nat' ) ],
% 1.09/1.47 [ 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.09/1.47 , X ), Y ), 'tc_nat' ) ],
% 1.09/1.47 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), hAPP( hAPP( Y, Z ), U ) )
% 1.09/1.47 , hAPP( hAPP( Y, Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.09/1.47 , T ), U ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( W, X, Y, V0, V1, V2
% 1.09/1.47 ) ) ],
% 1.09/1.47 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP(
% 1.09/1.47 'c_Suc', Y ) ), hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.09/1.47 'tc_nat' ), X ), Y ) ) ) ],
% 1.09/1.47 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( 'c_Suc',
% 1.09/1.47 X ) ), Y ), hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.09/1.47 'tc_nat' ), X ), Y ) ) ) ],
% 1.09/1.47 [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X
% 1.09/1.47 ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ),
% 1.09/1.47 'tc_nat' ), ~( 'c_lessequals'( Y, T, 'tc_nat' ) ), ~( 'c_lessequals'( X,
% 1.09/1.47 Z, 'tc_nat' ) ) ],
% 1.09/1.47 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( 'c_Suc',
% 1.09/1.47 X ) ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP(
% 1.09/1.47 'c_Suc', Y ) ) ) ],
% 1.09/1.47 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ), ~(
% 1.09/1.47 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ),
% 1.09/1.47 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ), 'tc_nat' ) ],
% 1.09/1.47 [ 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ),
% 1.09/1.47 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ),
% 1.09/1.47 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ) ],
% 1.09/1.47 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ) ), ~(
% 1.09/1.47 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ),
% 1.09/1.47 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.09/1.47 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ) ),
% 1.09/1.47 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), ~(
% 1.09/1.47 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.09/1.47 [ 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ), ~(
% 1.09/1.47 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), ~(
% 1.09/1.47 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ), 'tc_nat' ) ) ],
% 1.09/1.47 [ 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ), ~(
% 1.09/1.47 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), ~(
% 1.09/1.47 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ) ) ],
% 1.09/1.47 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ),
% 1.09/1.47 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ),
% 1.09/1.47 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.09/1.47 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), ~(
% 1.09/1.47 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), ~(
% 1.09/1.47 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.09/1.47 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ),
% 1.09/1.47 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), ~(
% 1.09/1.47 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ), 'tc_nat' ) ) ],
% 1.09/1.47 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ),
% 1.09/1.47 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), ~(
% 1.09/1.47 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ) ) ],
% 1.09/1.47 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), ~(
% 1.09/1.47 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), ~(
% 1.09/1.47 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.09/1.47 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ),
% 1.09/1.47 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ),
% 1.09/1.47 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.09/1.47 [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X
% 1.09/1.47 ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ),
% 1.09/1.47 'tc_nat' ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 1.09/1.47 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), X ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ), 'tc_nat' ) ) ],
% 1.09/1.47 [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X
% 1.09/1.47 ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ),
% 1.09/1.47 'tc_nat' ), ~( 'c_lessequals'( Y, Z, 'tc_nat' ) ) ],
% 1.09/1.47 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.09/1.47 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X,
% 1.09/1.47 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.09/1.47 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.09/1.47 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.09/1.47 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.09/1.47 [ ~( =( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y )
% 1.09/1.47 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.09/1.47 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), X
% 1.09/1.47 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.09/1.47 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.09/1.47 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.47 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.09/1.47 [ 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.09/1.47 , Y ), Z ), 'tc_nat' ), ~( 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 1.09/1.47 [ 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.09/1.47 , Y ), Z ), 'tc_nat' ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 1.09/1.47 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ), Y, 'tc_nat' ) ) ],
% 1.09/1.47 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), X ), Y, 'tc_nat' ) ) ],
% 1.09/1.47 [ 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.09/1.47 , Y ), Z ), 'tc_nat' ), ~( 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 1.09/1.47 [ 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.09/1.47 , Y ), Z ), 'tc_nat' ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 1.09/1.47 [ =( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 1.09/1.47 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.09/1.47 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 1.09/1.47 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ) ],
% 1.09/1.47 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.09/1.47 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), X ) ],
% 1.09/1.47 [ 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ),
% 1.09/1.47 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), ~(
% 1.09/1.47 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), X ), 'tc_nat' ) ) ],
% 1.09/1.47 [ =( 'c_Divides_Odiv__class_Odiv'( X, hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ), 'tc_nat' ),
% 1.09/1.47 'c_Divides_Odiv__class_Odiv'( 'c_Divides_Odiv__class_Odiv'( X, Y,
% 1.09/1.47 'tc_nat' ), Z, 'tc_nat' ) ) ],
% 1.09/1.47 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.09/1.47 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.47 'tc_nat' ) ) ],
% 1.09/1.47 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ),
% 1.09/1.47 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.47 'tc_nat' ) ) ],
% 1.09/1.47 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.09/1.47 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ), =( Y
% 1.09/1.47 , Z ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.09/1.47 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.09/1.47 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ), =( X
% 1.09/1.47 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y, Z ) ],
% 1.09/1.47 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.09/1.47 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ) ), =( Y
% 1.09/1.47 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, Z ) ],
% 1.09/1.47 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 'tc_nat' ), ~(
% 1.09/1.47 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.09/1.47 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 'tc_nat' ), ~(
% 1.09/1.47 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ) ],
% 1.09/1.47 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ),
% 1.09/1.47 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ) ), ~(
% 1.09/1.47 'c_Groebner__Basis_Ogb__semiring'( U, W, X, V0, V1, V2 ) ) ],
% 1.09/1.47 [ 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.09/1.47 ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), X ) )
% 1.09/1.47 , 'tc_nat' ) ],
% 1.09/1.47 [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.09/1.47 X ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T )
% 1.09/1.47 , 'tc_nat' ), ~( 'c_lessequals'( Y, T, 'tc_nat' ) ), ~( 'c_lessequals'( X
% 1.09/1.47 , Z, 'tc_nat' ) ) ],
% 1.09/1.47 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP(
% 1.09/1.47 'c_Suc', X ) ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' )
% 1.09/1.47 , hAPP( 'c_Suc', X ) ), Z ) ) ), =( Y, Z ) ],
% 1.09/1.47 [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.09/1.47 X ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y )
% 1.09/1.47 , 'tc_nat' ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 1.09/1.47 [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.09/1.47 X ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z )
% 1.09/1.47 , 'tc_nat' ), ~( 'c_lessequals'( Y, Z, 'tc_nat' ) ) ],
% 1.09/1.47 [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.09/1.47 X ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z )
% 1.09/1.47 , 'tc_nat' ), ~( 'c_lessequals'( Y, Z, 'tc_nat' ) ) ],
% 1.09/1.47 [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.09/1.47 X ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y )
% 1.09/1.47 , 'tc_nat' ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 1.09/1.47 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.09/1.47 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.47 'tc_nat' ) ), Y ) ) ],
% 1.09/1.47 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ),
% 1.09/1.47 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.47 'tc_nat' ) ) ) ],
% 1.09/1.47 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.09/1.47 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.09/1.47 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X,
% 1.09/1.47 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.09/1.47 [ 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.09/1.47 ), X ), X ), 'tc_nat' ) ],
% 1.09/1.47 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), hAPP(
% 1.09/1.47 'c_Suc', hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) )
% 1.09/1.47 ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ), hAPP( 'c_Suc', Y ) )
% 1.09/1.47 ), ~( 'c_lessequals'( Z, Y, 'tc_nat' ) ) ],
% 1.09/1.47 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( 'c_Suc'
% 1.09/1.47 , hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ) ), Z )
% 1.09/1.47 , hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( 'c_Suc', X
% 1.09/1.47 ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ),
% 1.09/1.47 ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 1.09/1.47 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.09/1.47 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =(
% 1.09/1.47 'c_Fact_Ofact__class_Ofact'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.09/1.47 'tc_nat' ), X ), Y ), 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) )
% 1.09/1.47 ],
% 1.09/1.47 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( 'c_Suc'
% 1.09/1.47 , X ) ), hAPP( 'c_Suc', Y ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.09/1.47 'tc_nat' ), X ), Y ) ) ],
% 1.09/1.47 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( 'c_Suc', X ) ), Y ) ),
% 1.09/1.47 hAPP( 'c_Suc', Z ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat'
% 1.09/1.47 ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Z )
% 1.09/1.47 ) ],
% 1.09/1.47 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), hAPP(
% 1.09/1.47 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Y ), ~(
% 1.09/1.47 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 1.09/1.47 [ ~( =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ),
% 1.09/1.47 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( =( hAPP( hAPP(
% 1.09/1.47 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), X ),
% 1.09/1.47 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y, X ) ],
% 1.09/1.47 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), X ),
% 1.09/1.47 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.09/1.47 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ),
% 1.09/1.47 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ) ],
% 1.09/1.47 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.09/1.47 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Z ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ), 'tc_nat' ) ), ~(
% 1.09/1.47 'c_lessequals'( Z, Y, 'tc_nat' ) ), ~( 'c_lessequals'( Z, X, 'tc_nat' ) )
% 1.09/1.47 ],
% 1.09/1.47 [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ),
% 1.09/1.47 X ), Y ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), Y )
% 1.09/1.47 , 'tc_nat' ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ), ~( 'c_lessequals'( Y
% 1.09/1.47 , Z, 'tc_nat' ) ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 1.09/1.47 [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ),
% 1.09/1.47 X ), Y ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), Y )
% 1.09/1.47 , 'tc_nat' ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 1.09/1.47 [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ),
% 1.09/1.47 X ), Y ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Z )
% 1.09/1.47 , 'tc_nat' ), ~( 'c_lessequals'( Z, Y, 'tc_nat' ) ) ],
% 1.09/1.47 [ ~( =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ),
% 1.09/1.47 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), Y ) ) ), ~(
% 1.09/1.47 'c_lessequals'( Y, Z, 'tc_nat' ) ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) )
% 1.09/1.47 , =( X, Z ) ],
% 1.09/1.47 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ),
% 1.09/1.47 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.47 'tc_nat' ) ) ],
% 1.09/1.47 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.09/1.47 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ), 'tc_nat' ),
% 1.09/1.47 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ),
% 1.09/1.47 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.09/1.47 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.09/1.47 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), ~(
% 1.09/1.47 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), ~(
% 1.09/1.47 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.09/1.47 [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ),
% 1.09/1.47 X ), Y ), X, 'tc_nat' ) ],
% 1.09/1.47 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), Y ) ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Z ) ), ~( 'c_lessequals'(
% 1.09/1.47 Y, Z, 'tc_nat' ) ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 1.09/1.47 [ =( hAPP( hAPP( X, Y ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), Y ),
% 1.09/1.47 ~( 'c_Groebner__Basis_Ogb__semiring'( Z, T, X, U, W, V0 ) ) ],
% 1.09/1.47 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Oone__class_Oone'(
% 1.09/1.47 'tc_nat' ), 'tc_nat' ) ) ],
% 1.09/1.47 [ =( 'c_Fact_Ofact__class_Ofact'( 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 1.09/1.47 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.09/1.47 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.09/1.47 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.09/1.47 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ), 'tc_nat' ), 'tc_nat', X
% 1.09/1.47 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_Finite__Set_Osetsum'(
% 1.09/1.47 'c_COMBB'( Y, 'c_COMBC'( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), T,
% 1.09/1.47 'tc_nat', 'tc_nat', 'tc_nat' ), 'tc_nat', X, 'tc_nat' ),
% 1.09/1.47 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.47 'tc_nat' ), Z, 'tc_nat' ), 'tc_nat', X ) ), 'c_Finite__Set_Osetsum'( Y,
% 1.09/1.47 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.47 'tc_nat' ), T, 'tc_nat' ), 'tc_nat', X ) ) ) ],
% 1.09/1.47 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.09/1.47 'c_Finite__Set_Osetsum'( 'c_COMBB'( Y, 'c_COMBC'(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z, 'tc_nat', 'tc_nat', 'tc_nat' )
% 1.09/1.47 , 'tc_nat', X, 'tc_nat' ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.09/1.47 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), T, 'tc_nat' ), 'tc_nat', X ),
% 1.09/1.47 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), 'c_Finite__Set_Osetsum'( Y
% 1.09/1.47 , 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.09/1.47 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), T ), Z ), 'tc_nat' ), 'tc_nat', X
% 1.09/1.47 ) ), 'c_Finite__Set_Osetsum'( Y,
% 1.09/1.47 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.47 'tc_nat' ), Z, 'tc_nat' ), 'tc_nat', X ) ) ) ],
% 1.09/1.47 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 1.09/1.47 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBC'(
% 1.09/1.47 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), Z, X, 'tc_fun'( X, X ), Y )
% 1.09/1.47 , T, Y, X, X ), U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.09/1.47 'c_Lim_OLIM'( Z, U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.09/1.47 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 1.09/1.47 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBC'(
% 1.09/1.47 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), Z, X, 'tc_fun'( X, X ), Y )
% 1.09/1.47 , T, Y, X, X ), U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.09/1.47 'c_Lim_OLIM'( Z, U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.09/1.47 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.09/1.47 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBC'(
% 1.09/1.47 'c_COMBB'( 'c_HOL_Ominus__class_Ominus'( X ), Z, X, 'tc_fun'( X, X ), Y )
% 1.09/1.47 , T, Y, X, X ), U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.09/1.47 'c_Lim_OLIM'( Z, U, T, Y, X ) ) ],
% 1.09/1.47 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.09/1.47 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( Z, T, U, Y, X ),
% 1.09/1.47 ~( 'c_Lim_OLIM'( 'c_COMBC'( 'c_COMBB'( 'c_HOL_Ominus__class_Ominus'( X )
% 1.09/1.47 , Z, X, 'tc_fun'( X, X ), Y ), U, Y, X, X ), T,
% 1.09/1.47 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.09/1.47 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.09/1.47 , Y ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP(
% 1.09/1.47 hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~(
% 1.09/1.47 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.09/1.47 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.09/1.47 ,
% 1.09/1.47 [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.09/1.47 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), Z ),
% 1.09/1.47 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), T ), Y ) ), U ), 'tc_nat' ),
% 1.09/1.47 ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.09/1.47 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), T ) ), Y ) ), Z ), U,
% 1.09/1.47 'tc_nat' ) ), ~( 'c_lessequals'( T, X, 'tc_nat' ) ) ],
% 1.09/1.47 [ 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.09/1.47 , hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ), T ) ), U ),
% 1.09/1.47 'tc_nat' ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.09/1.47 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T
% 1.09/1.47 ) ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), T ) ), U ), 'tc_nat' ) ),
% 1.09/1.47 ~( 'c_lessequals'( Z, Y, 'tc_nat' ) ) ],
% 1.09/1.47 [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.09/1.47 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), Z ),
% 1.09/1.47 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), T ), Y ) ), U ), 'tc_nat' ),
% 1.09/1.47 ~( 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.09/1.47 , hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ), X ) ), Y ) ), U ),
% 1.09/1.47 'tc_nat' ) ), ~( 'c_lessequals'( X, T, 'tc_nat' ) ) ],
% 1.09/1.47 [ =( 'c_Fact_Ofact__class_Ofact'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.09/1.47 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), 'tc_nat' ), hAPP(
% 1.09/1.47 hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'(
% 1.09/1.47 'tc_nat' ) ) ), 'c_Fact_Ofact__class_Ofact'( X, 'tc_nat' ) ) ) ],
% 1.09/1.47 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 1.09/1.47 'class_RealVector_Oreal__normed__algebra'( Y ) ), ~( 'class_Power_Opower'(
% 1.09/1.47 Y ) ), 'c_Lim_OisCont'( 'c_COMBC'( 'c_COMBB'(
% 1.09/1.47 'c_Power_Opower__class_Opower'( Y ), Z, Y, 'tc_fun'( 'tc_nat', Y ), X ),
% 1.09/1.47 T, X, 'tc_nat', Y ), U, X, Y ), ~( 'c_Lim_OisCont'( Z, U, X, Y ) ) ],
% 1.09/1.47 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 1.09/1.47 'class_Power_Opower'( X ) ), ~( 'class_RealVector_Ometric__space'( Y ) )
% 1.09/1.47 , 'c_Lim_OLIM'( 'c_COMBC'( 'c_COMBB'( 'c_Power_Opower__class_Opower'( X )
% 1.09/1.47 , Z, X, 'tc_fun'( 'tc_nat', X ), Y ), T, Y, 'tc_nat', X ), U, hAPP( hAPP(
% 1.09/1.47 'c_Power_Opower__class_Opower'( X ), W ), T ), Y, X ), ~( 'c_Lim_OLIM'( Z
% 1.09/1.47 , U, W, Y, X ) ) ],
% 1.09/1.47 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ),
% 1.09/1.47 'c_Deriv_Odifferentiable'( 'c_COMBC'( 'c_COMBB'(
% 1.09/1.47 'c_Power_Opower__class_Opower'( X ), Y, X, 'tc_fun'( 'tc_nat', X ), X ),
% 1.09/1.47 Z, X, 'tc_nat', X ), T, X ), ~( 'c_Deriv_Odifferentiable'( Y, T, X ) ) ]
% 1.09/1.47 ,
% 1.09/1.47 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 1.09/1.47 'class_Power_Opower'( X ) ), 'c_SEQ_OLIMSEQ'( 'c_COMBC'( 'c_COMBB'(
% 1.09/1.47 'c_Power_Opower__class_Opower'( X ), Y, X, 'tc_fun'( 'tc_nat', X ),
% 1.09/1.47 'tc_nat' ), Z, 'tc_nat', 'tc_nat', X ), hAPP( hAPP(
% 1.09/1.47 'c_Power_Opower__class_Opower'( X ), T ), Z ), X ), ~( 'c_SEQ_OLIMSEQ'( Y
% 1.09/1.47 , T, X ) ) ],
% 1.09/1.47 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OBseq'( Y,
% 1.09/1.47 X ), ~( 'c_SEQ_OBseq'( 'c_COMBB'( Y, 'c_COMBC'(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z, 'tc_nat', 'tc_nat', 'tc_nat' )
% 1.09/1.47 , 'tc_nat', X, 'tc_nat' ), X ) ) ],
% 1.09/1.47 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OBseq'(
% 1.09/1.47 'c_COMBB'( Y, 'c_COMBC'( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z,
% 1.09/1.47 'tc_nat', 'tc_nat', 'tc_nat' ), 'tc_nat', X, 'tc_nat' ), X ), ~(
% 1.09/1.47 'c_SEQ_OBseq'( Y, X ) ) ],
% 1.09/1.47 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_SEQ_OLIMSEQ'( Y, Z, X
% 1.09/1.47 ), ~( 'c_SEQ_OLIMSEQ'( 'c_COMBB'( Y, 'c_COMBC'(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), T, 'tc_nat', 'tc_nat', 'tc_nat' )
% 1.09/1.47 , 'tc_nat', X, 'tc_nat' ), Z, X ) ) ],
% 1.09/1.47 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.09/1.47 'c_COMBB'( Y, 'c_COMBC'( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z,
% 1.09/1.47 'tc_nat', 'tc_nat', 'tc_nat' ), 'tc_nat', X, 'tc_nat' ), T, X ), ~(
% 1.09/1.47 'c_SEQ_OLIMSEQ'( Y, T, X ) ) ],
% 1.09/1.47 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 1.09/1.47 'c_Series_Osummable'( 'c_COMBB'( Y, 'c_COMBC'( 'c_HOL_Oplus__class_Oplus'(
% 1.09/1.47 'tc_nat' ), Z, 'tc_nat', 'tc_nat', 'tc_nat' ), 'tc_nat', X, 'tc_nat' ), X
% 1.09/1.47 ), ~( 'c_Series_Osummable'( Y, X ) ) ],
% 1.09/1.47 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.09/1.47 'c_Power_Opower__class_Opower'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.09/1.47 'c_Int_OMin', X ) ), hAPP( 'c_Suc', hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.09/1.47 'c_Int_OPls' ) ), 'tc_nat' ) ), Y ) ) ),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ) ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP(
% 1.09/1.47 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.09/1.47 X ), 'c_HOL_Oone__class_Oone'( X ) ) ), hAPP( 'c_Suc', hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.09/1.47 'c_Int_OPls' ) ), 'tc_nat' ) ), Y ) ) ), hAPP(
% 1.09/1.47 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ]
% 1.09/1.47 ,
% 1.09/1.47 [ =( hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' )
% 1.09/1.47 , hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.09/1.47 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ), 'c_HOL_Oone__class_Oone'( 'tc_nat'
% 1.09/1.47 ) ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.09/1.47 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.47 'tc_nat' ) ) ],
% 1.09/1.47 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.09/1.47 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.09/1.47 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.09/1.47 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ), 'tc_nat' ), 'tc_nat', X ), hAPP(
% 1.09/1.47 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_Finite__Set_Osetsum'( 'c_COMBB'(
% 1.09/1.47 Y, hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.09/1.47 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', X, 'tc_nat' ),
% 1.09/1.47 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.47 'tc_nat' ), Z, 'tc_nat' ), 'tc_nat', X ) ), 'c_Finite__Set_Osetsum'(
% 1.09/1.47 'c_COMBB'( Y, 'c_COMBC'( 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'( 'tc_nat'
% 1.09/1.47 ), hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.09/1.47 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_fun'( 'tc_nat', 'tc_nat' )
% 1.09/1.47 , 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat', 'tc_nat',
% 1.09/1.47 'tc_nat' ), 'tc_nat', X, 'tc_nat' ),
% 1.09/1.47 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.09/1.47 'tc_nat' ), Z, 'tc_nat' ), 'tc_nat', X ) ) ) ],
% 1.09/1.47 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 1.09/1.47 'class_RealVector_Oreal__normed__vector'( Y ) ), 'c_Lim_OLIM'( 'c_COMBB'(
% 1.09/1.47 Z, 'c_COMBC'( 'c_HOL_Oplus__class_Oplus'( Y ), T, Y, Y, Y ), Y, X, Y ),
% 1.09/1.47 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( Y ), U ), T ), W, Y, X ), ~(
% 1.09/1.47 'c_Lim_OLIM'( Z, U, W, Y, X ) ) ],
% 1.09/1.47 [ =( hAPP( hAPP( X, Y ), Y ), hAPP( hAPP( Z, Y ),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.09/1.47 'c_Int_OPls' ) ), 'tc_nat' ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( T
% 1.09/1.47 , X, Z, U, W, V0 ) ) ],
% 1.09/1.47 [ =( hAPP( 'c_Suc', hAPP( 'c_Suc', hAPP( 'c_Suc', X ) ) ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.09/1.47 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ) ],
% 1.09/1.47 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.09/1.47 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ) ),
% 1.09/1.47 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X,
% 1.09/1.47 'c_Int_OPls', 'tc_Int_Oint' ) ) ],
% 1.09/1.47 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ) ),
% 1.09/1.47 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'(
% 1.09/1.47 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Int_OPls',
% 1.09/1.47 'tc_Int_Oint' ) ) ],
% 1.09/1.47 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.09/1.47 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'(
% 1.09/1.47 'tc_nat' ) ) ), Y ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ]
% 1.09/1.47 ,
% 1.09/1.47 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( Y, X ) ),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ), 'c_Int_OBit1'( 'c_Int_OPls'
% 1.09/1.47 ) ), Y ), X ) ) ],
% 1.09/1.47 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.09/1.47 ) ), 'c_HOL_Oone__class_Oone'( X ) ), 'c_Int_Onumber__class_Onumber__of'(
% 1.09/1.47 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_Int_Oint' ), Y ),
% 1.09/1.47 'c_Int_OBit1'( 'c_Int_OPls' ) ), X ) ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP(
% 1.09/1.47 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'(
% 1.09/1.47 X ), Y ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.09/1.47 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.09/1.47 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.09/1.47 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP(
% 1.09/1.47 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.09/1.47 X ), Y ) ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.09/1.47 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP(
% 1.09/1.47 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.09/1.47 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP( hAPP(
% 1.09/1.47 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.09/1.47 , Y ) ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.09/1.47 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP(
% 1.09/1.47 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.09/1.47 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( hAPP( hAPP(
% 1.09/1.47 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.09/1.47 'c_Int_OPls' ) ), 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y
% 1.09/1.47 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =( hAPP( hAPP(
% 1.09/1.47 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.09/1.47 'c_Int_OPls' ) ), 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP( hAPP(
% 1.09/1.47 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.09/1.47 'c_Int_OPls' ) ), 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.47 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.09/1.47 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( 'c_Suc', hAPP( 'c_Suc', X ) ) ) ]
% 1.09/1.47 ,
% 1.09/1.47 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.09/1.47 'c_Int_OPls' ) ), 'tc_nat' ) ), X ), hAPP( 'c_Suc', hAPP( 'c_Suc', X ) )
% 1.09/1.47 ) ],
% 1.09/1.47 [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), X ),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.09/1.47 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ), X ) ],
% 1.09/1.47 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.09/1.47 'c_Int_OPls' ) ), 'tc_nat' ) ), X ), 'tc_nat' ) ],
% 1.09/1.47 [ 'c_Fun_Oinj__on'( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.09/1.47 'c_Int_OPls' ) ), 'tc_nat' ) ), X, 'tc_nat', 'tc_nat' ) ],
% 1.09/1.47 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.47 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.09/1.47 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ), hAPP( hAPP( T, hAPP(
% 1.09/1.47 hAPP( X, Y ), Z ) ), hAPP( hAPP( X, Y ), Z ) ) ), ~(
% 1.09/1.47 'c_Groebner__Basis_Ogb__semiring'( U, T, X, W, V0, V1 ) ) ],
% 1.09/1.47 [ =( 'c_FFT__Mirabelle_Oroot'( 'c_Int_Onumber__class_Onumber__of'(
% 1.09/1.47 'c_Int_OBit0'( 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat'
% 1.09/1.47 ) ), 'c_Complex_Oii' ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.09/1.47 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.09/1.47 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.09/1.47 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.09/1.47 'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.09/1.47 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.09/1.47 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.09/1.47 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.09/1.47 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.09/1.47 'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.09/1.47 =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.09/1.47 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.09/1.47 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.09/1.47 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.09/1.47 'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.09/1.47 ,
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP(
% 1.09/1.47 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.09/1.47 X ), Y ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.09/1.47 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ), hAPP( hAPP(
% 1.09/1.47 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.09/1.47 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ) ],
% 1.09/1.47 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.09/1.47 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.09/1.47 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.09/1.47 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.09/1.47 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.09/1.47 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.09/1.47 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.09/1.47 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.09/1.47 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.09/1.47 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP(
% 1.09/1.47 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.09/1.47 X ), 'c_HOL_Oone__class_Oone'( X ) ) ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.09/1.47 'c_Int_OPls' ) ), 'tc_nat' ) ), Y ) ), 'c_HOL_Oone__class_Oone'( X ) ) ]
% 1.09/1.47 ,
% 1.09/1.47 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.09/1.47 'c_Power_Opower__class_Opower'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.09/1.47 'c_Int_OMin', X ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' )
% 1.09/1.47 , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.09/1.47 'c_Int_OPls' ) ), 'tc_nat' ) ), Y ) ), 'c_HOL_Oone__class_Oone'( X ) ) ]
% 1.09/1.47 ,
% 1.09/1.47 [ =( 'c_FFT__Mirabelle_ODFT'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.47 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.09/1.47 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), X ), Y, Z ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( 'tc_Complex_Ocomplex' ),
% 1.09/1.47 'c_FFT__Mirabelle_ODFT'( X, 'c_COMBB'( Y, hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.09/1.47 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat'
% 1.09/1.47 ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.47 'tc_Complex_Ocomplex' ), hAPP( hAPP( 'c_Power_Opower__class_Opower'(
% 1.09/1.47 'tc_Complex_Ocomplex' ), 'c_FFT__Mirabelle_Oroot'( hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.09/1.47 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ) ), Z ) ), 'c_FFT__Mirabelle_ODFT'(
% 1.09/1.47 X, 'c_COMBB'( Y, 'c_COMBC'( 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'(
% 1.09/1.47 'tc_nat' ), hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.09/1.47 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_fun'( 'tc_nat', 'tc_nat' )
% 1.09/1.47 , 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat', 'tc_nat',
% 1.09/1.47 'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat' ), Z ) ) ) ) ],
% 1.09/1.47 [ =( 'c_Int_OPls', 'c_Int_OBit0'( 'c_Int_OPls' ) ) ],
% 1.09/1.47 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.09/1.47 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'(
% 1.09/1.47 'tc_nat' ) ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.09/1.47 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ) ],
% 1.09/1.47 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.09/1.47 'c_HOL_Oone__class_Oone'( X ) ), 'c_Int_Onumber__class_Onumber__of'(
% 1.09/1.47 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), X ) ) ],
% 1.09/1.47 [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OBit0'( Y ) ) ) ],
% 1.09/1.47 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( Y ), X ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.09/1.47 X ), 'c_HOL_Oone__class_Oone'( X ) ), 'c_Int_Onumber__class_Onumber__of'(
% 1.09/1.47 Y, X ) ) ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ],
% 1.09/1.47 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ),
% 1.09/1.47 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.09/1.47 [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ),
% 1.09/1.47 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.09/1.47 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.09/1.47 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.09/1.47 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.09/1.47 X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.09/1.47 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.09/1.47 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.09/1.47 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.09/1.47 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.09/1.47 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), X ) ), Y ) ), Z ) ) ) ]
% 1.09/1.47 ,
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.09/1.47 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) )
% 1.09/1.47 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ) ],
% 1.09/1.47 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.09/1.47 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ) ) ), =( X, Z
% 1.09/1.47 ) ],
% 1.09/1.47 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.09/1.47 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ), =( Y, Z
% 1.09/1.47 ) ],
% 1.09/1.47 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.09/1.47 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ), =( Y, Z
% 1.09/1.47 ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.09/1.47 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP(
% 1.09/1.47 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 1.09/1.47 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =( hAPP(
% 1.09/1.47 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 1.09/1.47 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 1.09/1.47 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 1.09/1.47 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 1.09/1.47 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), =( Y, T ) ],
% 1.09/1.47 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.09/1.47 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.09/1.47 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ), hAPP( hAPP(
% 1.09/1.47 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.09/1.47 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.09/1.47 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ],
% 1.09/1.47 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ) ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Z ) ) ],
% 1.09/1.47 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ) ],
% 1.09/1.47 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.09/1.47 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y )
% 1.09/1.47 , 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.09/1.47 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ), =( hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), U ) ],
% 1.09/1.47 [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OBit0'( Y ) ) ), =( X, Y ) ],
% 1.09/1.47 [ ~( hBOOL( hAPP( X, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat'
% 1.09/1.47 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ), Y ) )
% 1.09/1.47 ) ), hBOOL( hAPP( X, Z ) ) ],
% 1.09/1.47 [ ~( hBOOL( hAPP( X, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat'
% 1.09/1.47 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ), Y ) )
% 1.09/1.47 ) ), hBOOL( hAPP( X, Z ) ) ],
% 1.09/1.47 [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OPls' ) ), =( X, 'c_Int_OPls' ) ]
% 1.09/1.47 ,
% 1.09/1.47 [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OPls' ) ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( 'class_Int_Onumber'( X )
% 1.09/1.47 ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( T, X ) ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), Z ),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ) ],
% 1.09/1.47 [ =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' )
% 1.09/1.47 , 'c_FFT__Mirabelle_Oroot'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.47 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.09/1.47 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ) ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.09/1.47 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ), hAPP( hAPP(
% 1.09/1.47 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ),
% 1.09/1.47 'c_FFT__Mirabelle_Oroot'( X ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.47 'tc_nat' ), Y ), Z ) ) ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.47 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.09/1.47 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.47 X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), U ) ), Z ) ), T
% 1.09/1.47 ) ) ) ],
% 1.09/1.47 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), ~( 'class_Int_Onumber'(
% 1.09/1.47 X ) ), =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( Y, X ) ),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.09/1.47 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.47 X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =( hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.47 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.09/1.47 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ) ) ), =( hAPP(
% 1.09/1.47 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Ominus__class_Ominus'( X ), Y ), U ) ), Z ) ), T ), W ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =( hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.47 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.09/1.47 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ) ) ), =( T, hAPP(
% 1.09/1.47 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Ominus__class_Ominus'( X ), U ), Y ) ), Z ) ), W ) ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.09/1.47 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), hAPP(
% 1.09/1.47 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ) ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.09/1.47 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.09/1.47 [ ~( =( 'c_Int_OPls', 'c_Int_OBit1'( X ) ) ) ],
% 1.09/1.47 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.09/1.47 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), Y ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.09/1.47 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.09/1.47 X ), 'c_HOL_Oone__class_Oone'( X ) ), 'c_HOL_Oone__class_Oone'( X ) ) ),
% 1.09/1.47 Y ) ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.09/1.47 'c_Power_Opower__class_Opower'( X ), Y ), 'c_HOL_Oone__class_Oone'(
% 1.09/1.47 'tc_nat' ) ), Y ) ],
% 1.09/1.47 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.09/1.47 'c_Power_Opower__class_Opower'( X ), Y ), 'c_HOL_Oone__class_Oone'(
% 1.09/1.47 'tc_nat' ) ), Y ) ],
% 1.09/1.47 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), T ) ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ) ) ), =( Y, T ), =( X
% 1.09/1.47 , Z ) ],
% 1.09/1.47 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), T ) ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ) ) ), =( Y, T ), =( X
% 1.09/1.47 , Z ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.09/1.47 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.47 X ), Y ), U ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.09/1.47 ) ) ), =( Z, U ), =( Y, T ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.09/1.47 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.47 X ), Y ), U ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.09/1.47 ) ) ), =( Z, U ), =( Y, T ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.47 X ), Y ), Z ) ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.09/1.47 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Oone__class_Oone'( X )
% 1.09/1.47 ) ), Z ) ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.09/1.47 X ), Z ), 'c_HOL_Oone__class_Oone'( X ) ) ), Y ) ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), ~( 'class_Int_Onumber'(
% 1.09/1.47 X ) ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( T, X ) ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.47 X ), Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), Z ),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ) ],
% 1.09/1.47 [ =( 'c_Int_OBit0'( 'c_Int_OPls' ), 'c_Int_OPls' ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ), hAPP( hAPP(
% 1.09/1.47 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.09/1.47 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ],
% 1.09/1.47 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.09/1.47 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP(
% 1.09/1.47 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.09/1.47 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), T ) ) ],
% 1.09/1.47 [ ~( =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ), =( Y,
% 1.09/1.47 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.09/1.47 [ ~( =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ), =( X,
% 1.09/1.47 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.47 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.09/1.47 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ) ],
% 1.09/1.47 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.09/1.47 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.09/1.47 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.09/1.47 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.09/1.47 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.09/1.47 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.09/1.47 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.09/1.47 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.09/1.47 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), X ) ), Y ) ), Z ) ) ) ]
% 1.09/1.47 ,
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =( hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.09/1.47 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.09/1.47 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.47 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.09/1.47 ) ) ],
% 1.09/1.47 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.09/1.47 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), hAPP(
% 1.09/1.47 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ) ],
% 1.09/1.47 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.09/1.47 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.09/1.47 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.09/1.47 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.09/1.47 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.09/1.47 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.09/1.47 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.47 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.09/1.47 ) ) ],
% 1.09/1.47 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.47 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.09/1.47 ) ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.09/1.47 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.09/1.47 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ) ) ],
% 1.09/1.47 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), Z ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ) ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), Z ) ) ],
% 1.09/1.47 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =( hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.09/1.47 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oone__class_Oone'( X )
% 1.09/1.47 , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X )
% 1.09/1.47 ) ],
% 1.09/1.47 [ =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ),
% 1.09/1.47 'tc_nat' ) ) ],
% 1.09/1.47 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.09/1.47 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.09/1.47 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.47 X ), Y ), Y ) ) ],
% 1.09/1.47 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =( hAPP( hAPP(
% 1.09/1.47 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.09/1.47 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 1.09/1.47 'c_Power_Opower__class_Opower'( X ), Z ), T ) ) ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.09/1.47 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.09/1.47 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 1.09/1.47 'c_Power_Opower__class_Opower'( X ), Z ), T ) ) ) ],
% 1.09/1.47 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.09/1.47 'c_Int_OPls', X ) ), Y ), Y ) ],
% 1.09/1.47 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_Int_Onumber__class_Onumber__of'(
% 1.09/1.47 'c_Int_OPls', X ) ), Y ) ],
% 1.09/1.47 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( hAPP(
% 1.09/1.47 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ), Y ) ],
% 1.09/1.47 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( hAPP(
% 1.09/1.47 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), T ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), U ) ) ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), Z ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ) ) ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =( hAPP( hAPP(
% 1.09/1.47 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.09/1.47 'c_Int_OPls' ) ), 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.09/1.47 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.09/1.47 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 1.09/1.47 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ) ) ) ],
% 1.09/1.47 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.09/1.47 'c_Int_OBit1'( 'c_Int_OPls' ), X ) ), Y ), Y ) ],
% 1.09/1.47 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ) )
% 1.09/1.47 , Y ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( 'class_Int_Onumber'( X )
% 1.09/1.47 ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.09/1.47 , X ) ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ) ) ) ],
% 1.09/1.47 [ =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'c_HOL_Oone__class_Oone'(
% 1.09/1.47 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ],
% 1.09/1.47 [ ~( =( 'c_Int_OPls', 'c_Int_OBit0'( X ) ) ), =( 'c_Int_OPls', X ) ]
% 1.09/1.47 ,
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.47 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Ominus__class_Ominus'( X ), T ), Y ) ), Z ) ), U ) ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.47 X ), T ), Z ) ), U ) ) ],
% 1.09/1.47 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.09/1.47 X ), 'c_HOL_Oone__class_Oone'( X ) ), 'c_HOL_Oone__class_Oone'( X ) ) ),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( Y, X ) ),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( Y ), X ) ) ],
% 1.09/1.47 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.09/1.47 Y ) ],
% 1.09/1.47 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ),
% 1.09/1.47 Y ) ],
% 1.09/1.47 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =( hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ),
% 1.09/1.47 Y ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ),
% 1.09/1.47 Y ) ],
% 1.09/1.47 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.09/1.47 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), X ), X ) ],
% 1.09/1.47 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ),
% 1.09/1.47 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), X ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.09/1.47 Y ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ),
% 1.09/1.47 Y ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.09/1.47 X ) ), =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.47 X ), Y ), T ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z )
% 1.09/1.47 ) ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.09/1.47 X ) ), =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.47 X ), Y ), T ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z )
% 1.09/1.47 ) ) ],
% 1.09/1.47 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.09/1.47 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.09/1.47 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.09/1.47 X ), Y ), Z ) ), Z ), Y ) ],
% 1.09/1.47 [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OBit1'( Y ) ) ), =( X, Y ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.09/1.47 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.09/1.47 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.09/1.47 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ) ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ) ],
% 1.09/1.47 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.09/1.47 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), X ) ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ) ],
% 1.09/1.47 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.09/1.47 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.09/1.47 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.09/1.47 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.09/1.47 X ), Y ), Z ) ), T ) ) ],
% 1.09/1.47 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.09/1.47 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.09/1.47 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ) ],
% 1.09/1.47 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =( hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.09/1.47 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.09/1.47 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.09/1.47 X ), Y ), Z ) ), T ) ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.09/1.47 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.09/1.47 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.09/1.47 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.09/1.47 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.09/1.47 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.09/1.47 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.09/1.47 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.09/1.47 'c_Power_Opower__class_Opower'( X ), Y ), T ) ) ) ],
% 1.09/1.47 [ =( hAPP( 'c_COMBB'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) ) ) ]
% 1.09/1.47 ,
% 1.09/1.47 [ =( hAPP( 'c_COMBC'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), Y ) ) ]
% 1.09/1.47 ,
% 1.09/1.47 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.09/1.47 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ), =( X, 'c_HOL_Oone__class_Oone'(
% 1.09/1.47 'tc_nat' ) ) ],
% 1.09/1.47 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.09/1.47 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ), =( Y, 'c_HOL_Oone__class_Oone'(
% 1.09/1.47 'tc_nat' ) ) ],
% 1.09/1.47 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.09/1.47 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.09/1.47 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ) ), =( Z, T ) ],
% 1.09/1.47 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.09/1.47 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Ominus__class_Ominus'( X ), T ), T ) ) ), =( Y, Z ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), ~( 'class_Int_Onumber'(
% 1.09/1.47 X ) ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.47 X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), Z ) ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.09/1.47 , X ) ), T ) ) ) ],
% 1.09/1.47 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.09/1.47 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.09/1.47 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.47 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), Y ) ) ]
% 1.09/1.47 ,
% 1.09/1.47 [ ~( 'class_Int_Oring__char__0'( X ) ), ~( 'class_Int_Onumber__ring'( X
% 1.09/1.47 ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =( Y, Z ) ],
% 1.09/1.47 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.09/1.47 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.09/1.47 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Ominus__class_Ominus'( X ), Y ), T ) ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Ominus__class_Ominus'( X ), Z ), U ) ) ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Ominus__class_Ominus'( X ), Y ), T ) ), U ) ) ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), T ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Ominus__class_Ominus'( X ), Z ), U ) ) ) ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =( hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.47 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ), U ) ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.47 X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ), U )
% 1.09/1.47 ) ],
% 1.09/1.47 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ), T ) ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ), Y ) ), T ) ) ],
% 1.09/1.47 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ],
% 1.09/1.47 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ],
% 1.09/1.47 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.09/1.47 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), hAPP(
% 1.09/1.47 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ) ],
% 1.09/1.47 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.09/1.47 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.09/1.47 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.09/1.47 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.09/1.47 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) )
% 1.09/1.47 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Ominus__class_Ominus'( X ), Y ), T ) ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Ominus__class_Ominus'( X ), Z ), U ) ) ) ],
% 1.09/1.47 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Z ) ), Y ) ) ],
% 1.09/1.47 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.09/1.47 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.09/1.47 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.09/1.47 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.09/1.47 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 1.09/1.47 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.09/1.47 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.09/1.47 'tc_nat' ), X ), X ) ) ],
% 1.09/1.47 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.09/1.47 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), X ) ), Y ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ) ) ],
% 1.09/1.47 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.09/1.47 'c_Int_OPls' ) ), X ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y )
% 1.09/1.47 , Y ) ) ],
% 1.09/1.47 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.09/1.47 'c_Int_OPls' ) ), 'tc_nat' ) ), X ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), X ) ) ],
% 1.09/1.47 [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OBit1'( Y ) ) ) ],
% 1.09/1.47 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.09/1.47 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'(
% 1.09/1.47 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.09/1.47 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.09/1.47 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.09/1.47 X ), Y ), Z ) ), Z ), Y ) ],
% 1.09/1.47 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), X ), Y ) ],
% 1.09/1.47 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Y ), X ) ],
% 1.09/1.47 [ ~( =( 'c_FFT__Mirabelle_ODFT'( hAPP( hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.09/1.47 'c_Int_OPls' ) ), 'tc_nat' ) ), 'v_m' ), 'v_a', 'v_i' ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Ominus__class_Ominus'( 'tc_Complex_Ocomplex' ),
% 1.09/1.47 'c_FFT__Mirabelle_ODFT'( 'v_m', 'c_COMBB'( 'v_a', hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.09/1.47 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat'
% 1.09/1.47 ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), 'v_i' ), 'v_m'
% 1.09/1.47 ) ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_Complex_Ocomplex' )
% 1.09/1.47 , hAPP( hAPP( 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ),
% 1.09/1.47 'c_FFT__Mirabelle_Oroot'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.09/1.47 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.09/1.47 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), 'v_m' ) ) ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), 'v_i' ), 'v_m' ) ) ),
% 1.09/1.47 'c_FFT__Mirabelle_ODFT'( 'v_m', 'c_COMBB'( 'v_a', 'c_COMBC'( 'c_COMBB'(
% 1.09/1.47 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP(
% 1.09/1.47 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.09/1.47 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.09/1.47 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_fun'( 'tc_nat', 'tc_nat' )
% 1.09/1.47 , 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat', 'tc_nat',
% 1.09/1.47 'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat' ), hAPP( hAPP(
% 1.09/1.47 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), 'v_i' ), 'v_m' ) ) ) ) ) ) ]
% 1.09/1.47 ,
% 1.09/1.47 [ 'class_Lattices_Oboolean__algebra'( 'tc_fun'( X, Y ) ), ~(
% 1.09/1.47 'class_Lattices_Oboolean__algebra'( Y ) ) ],
% 1.09/1.47 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 1.09/1.47 'class_Orderings_Opreorder'( Y ) ) ],
% 1.09/1.47 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 1.09/1.47 'class_Orderings_Oorder'( Y ) ) ],
% 1.09/1.47 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 1.09/1.47 ],
% 1.09/1.47 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 1.09/1.47 ) ],
% 1.09/1.47 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 1.09/1.47 ],
% 1.09/1.47 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_nat' ) ]
% 1.09/1.47 ,
% 1.09/1.47 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 1.09/1.47 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 1.09/1.47 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 1.09/1.47 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 1.09/1.47 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 1.09/1.47 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' ) ],
% 1.09/1.47 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_nat' ) ],
% 1.09/1.47 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 1.09/1.47 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 1.09/1.47 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 1.09/1.47 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 1.09/1.47 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 1.09/1.47 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 1.09/1.47 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 1.09/1.47 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 1.09/1.47 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 1.09/1.47 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ],
% 1.09/1.47 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ],
% 1.09/1.47 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_nat' ) ],
% 1.09/1.47 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 1.09/1.47 [ 'class_Ring__and__Field_Omult__mono'( 'tc_nat' ) ],
% 1.09/1.47 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 1.09/1.47 [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 1.09/1.47 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 1.09/1.47 [ 'class_Divides_Osemiring__div'( 'tc_nat' ) ],
% 1.09/1.47 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 1.09/1.47 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 1.09/1.47 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 1.09/1.47 [ 'class_Power_Opower'( 'tc_nat' ) ],
% 1.09/1.47 [ 'class_Int_Onumber'( 'tc_nat' ) ],
% 1.09/1.47 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 1.09/1.47 'tc_Int_Oint' ) ],
% 1.09/1.47 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 1.09/1.47 'tc_Int_Oint' ) ],
% 1.09/1.47 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 1.09/1.47 'tc_Int_Oint' ) ],
% 1.09/1.47 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_Int_Oint' )
% 1.09/1.47 ],
% 1.09/1.47 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'( 'tc_Int_Oint' )
% 1.09/1.47 ],
% 1.09/1.47 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_Int_Oint' ) ]
% 1.09/1.47 ,
% 1.09/1.47 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_Int_Oint' ) ]
% 1.09/1.47 ,
% 1.09/1.47 [ 'class_OrderedGroup_Opordered__ab__group__add__abs'( 'tc_Int_Oint' ) ]
% 1.09/1.47 ,
% 1.09/1.47 [ 'class_OrderedGroup_Olordered__ab__group__add__abs'( 'tc_Int_Oint' ) ]
% 1.09/1.47 ,
% 1.09/1.47 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_Int_Oint' ) ]
% 1.09/1.47 ,
% 1.09/1.47 [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_Int_Oint' ) ]
% 1.09/1.47 ,
% 1.09/1.47 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_Int_Oint' ) ]
% 1.09/1.47 ,
% 1.09/1.47 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_Int_Oint' ) ]
% 1.09/1.47 ,
% 1.09/1.47 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.09/1.47 [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.09/1.47 [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.09/1.47 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Int_Oint' ) ],
% 1.09/1.47 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_Int_Oint' ) ],
% 1.09/1.47 [ 'class_Ring__and__Field_Opordered__ring__abs'( 'tc_Int_Oint' ) ],
% 1.09/1.47 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_Int_Oint' ) ],
% 1.09/1.47 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Int_Oint' ) ],
% 1.09/1.47 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_Int_Oint' ) ],
% 1.09/1.47 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Int_Oint' ) ],
% 1.09/1.47 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Int_Oint' ) ],
% 1.09/1.47 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Int_Oint' ) ],
% 1.09/1.47 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Int_Oint' ) ],
% 1.09/1.47 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_Int_Oint' ) ],
% 1.09/1.47 [ 'class_Ring__and__Field_Olordered__ring'( 'tc_Int_Oint' ) ],
% 1.09/1.47 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Int_Oint' ) ],
% 1.09/1.47 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Int_Oint' ) ],
% 1.09/1.47 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Int_Oint' ) ],
% 1.09/1.47 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_Int_Oint' ) ],
% 1.09/1.47 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Int_Oint' ) ],
% 1.09/1.47 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_Int_Oint' ) ],
% 1.09/1.47 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_Int_Oint' ) ],
% 1.09/1.47 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_Int_Oint' ) ],
% 1.09/1.47 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Int_Oint' ) ],
% 1.09/1.47 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Int_Oint' ) ],
% 1.09/1.47 [ 'class_Ring__and__Field_Omult__mono'( 'tc_Int_Oint' ) ],
% 1.09/1.47 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Int_Oint' ) ],
% 1.09/1.47 [ 'class_Ring__and__Field_Osemiring'( 'tc_Int_Oint' ) ],
% 1.09/1.47 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Int_Oint' ) ],
% 1.09/1.47 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Int_Oint' ) ],
% 1.09/1.47 [ 'class_Ring__and__Field_Oring__1'( 'tc_Int_Oint' ) ],
% 1.09/1.47 [ 'class_Ring__and__Field_Oabs__if'( 'tc_Int_Oint' ) ],
% 1.09/1.47 [ 'class_Divides_Osemiring__div'( 'tc_Int_Oint' ) ],
% 1.09/1.47 [ 'class_Ring__and__Field_Oring'( 'tc_Int_Oint' ) ],
% 1.09/1.47 [ 'class_Ring__and__Field_Oidom'( 'tc_Int_Oint' ) ],
% 1.09/1.47 [ 'class_Orderings_Opreorder'( 'tc_Int_Oint' ) ],
% 1.09/1.47 [ 'class_Orderings_Olinorder'( 'tc_Int_Oint' ) ],
% 1.09/1.47 [ 'class_Orderings_Oorder'( 'tc_Int_Oint' ) ],
% 1.09/1.47 [ 'class_Int_Oring__char__0'( 'tc_Int_Oint' ) ],
% 1.09/1.47 [ 'class_Int_Onumber__ring'( 'tc_Int_Oint' ) ],
% 1.09/1.47 [ 'class_Power_Opower'( 'tc_Int_Oint' ) ],
% 1.09/1.47 [ 'class_Int_Onumber'( 'tc_Int_Oint' ) ],
% 1.09/1.47 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 1.09/1.47 'tc_Complex_Ocomplex' ) ],
% 1.09/1.47 [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 1.09/1.47 'tc_Complex_Ocomplex' ) ],
% 1.09/1.47 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 1.09/1.47 'tc_Complex_Ocomplex' ) ],
% 1.09/1.47 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Complex_Ocomplex' )
% 1.09/1.47 ],
% 1.09/1.47 [ 'class_RealVector_Oreal__normed__algebra__1'( 'tc_Complex_Ocomplex' )
% 1.09/1.47 ],
% 1.09/1.47 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Complex_Ocomplex' )
% 1.09/1.47 ],
% 1.09/1.47 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Complex_Ocomplex' ) ]
% 1.09/1.47 ,
% 1.09/1.47 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_Complex_Ocomplex' ) ]
% 1.09/1.47 ,
% 1.09/1.47 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Complex_Ocomplex' ) ]
% 1.09/1.47 ,
% 1.09/1.47 [ 'class_RealVector_Oreal__normed__vector'( 'tc_Complex_Ocomplex' ) ]
% 1.09/1.47 ,
% 1.09/1.47 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Complex_Ocomplex' ) ]
% 1.09/1.47 ,
% 1.09/1.47 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Complex_Ocomplex' ) ]
% 1.09/1.47 ,
% 1.09/1.47 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Complex_Ocomplex' ) ]
% 1.09/1.47 ,
% 1.09/1.47 [ 'class_RealVector_Oreal__normed__field'( 'tc_Complex_Ocomplex' ) ]
% 1.09/1.47 ,
% 1.09/1.47 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Complex_Ocomplex' ) ]
% 1.09/1.47 ,
% 1.09/1.47 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Complex_Ocomplex' ) ]
% 1.09/1.47 ,
% 1.09/1.47 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Complex_Ocomplex' ) ]
% 1.09/1.47 ,
% 1.09/1.47 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_Complex_Ocomplex' ) ],
% 1.09/1.47 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_Complex_Ocomplex' ) ],
% 1.09/1.47 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Complex_Ocomplex' ) ],
% 1.09/1.47 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Complex_Ocomplex' ) ],
% 1.09/1.47 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Complex_Ocomplex' ) ],
% 1.09/1.47 [ 'class_Ring__and__Field_Osemiring'( 'tc_Complex_Ocomplex' ) ],
% 1.09/1.47 [ 'class_RealVector_Ometric__space'( 'tc_Complex_Ocomplex' ) ],
% 1.09/1.47 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Complex_Ocomplex' ) ],
% 1.09/1.47 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Complex_Ocomplex' ) ],
% 1.09/1.47 [ 'class_Ring__and__Field_Oring__1'( 'tc_Complex_Ocomplex' ) ],
% 1.09/1.47 [ 'class_Ring__and__Field_Oring'( 'tc_Complex_Ocomplex' ) ],
% 1.09/1.47 [ 'class_Ring__and__Field_Oidom'( 'tc_Complex_Ocomplex' ) ],
% 1.09/1.47 [ 'class_Int_Oring__char__0'( 'tc_Complex_Ocomplex' ) ],
% 1.09/1.47 [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ],
% 1.09/1.47 [ 'class_Power_Opower'( 'tc_Complex_Ocomplex' ) ],
% 1.09/1.47 [ 'class_Int_Onumber'( 'tc_Complex_Ocomplex' ) ],
% 1.09/1.47 [ =( hAPP( 'c_COMBC'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), Y ) ) ]
% 1.09/1.47 ,
% 1.09/1.47 [ =( hAPP( 'c_COMBB'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) ) ) ]
% 1.09/1.47 ,
% 1.09/1.47 [ 'c_fequal'( X, X, Y ) ],
% 1.09/1.47 [ =( X, Y ), ~( 'c_fequal'( X, Y, Z ) ) ]
% 1.09/1.47 ] .
% 1.09/1.47
% 1.09/1.47
% 1.09/1.47 percentage equality = 0.258077, percentage horn = 0.906977
% 1.09/1.47 This is a problem with some equality
% 1.09/1.47
% 1.09/1.47
% 1.09/1.47
% 1.09/1.47 Options Used:
% 1.09/1.47
% 1.09/1.47 useres = 1
% 1.09/1.47 useparamod = 1
% 1.09/1.47 useeqrefl = 1
% 1.09/1.47 useeqfact = 1
% 1.09/1.47 usefactor = 1
% 1.09/1.47 usesimpsplitting = 0
% 1.09/1.47 usesimpdemod = 5
% 1.09/1.47 usesimpres = 3
% 1.09/1.47
% 1.09/1.47 resimpinuse = 1000
% 1.09/1.47 resimpclauses = 20000
% 1.09/1.47 substype = eqrewr
% 1.09/1.47 backwardsubs = 1
% 1.09/1.47 selectoldest = 5
% 1.09/1.47
% 1.09/1.47 litorderings [0] = split
% 1.09/1.47 litorderings [1] = extend the termordering, first sorting on arguments
% 1.09/1.47
% 1.09/1.47 termordering = kbo
% 1.09/1.47
% 1.09/1.47 litapriori = 0
% 1.09/1.47 termapriori = 1
% 1.09/1.47 litaposteriori = 0
% 1.09/1.47 termaposteriori = 0
% 1.09/1.47 demodaposteriori = 0
% 1.09/1.47 ordereqreflfact = 0
% 1.09/1.47
% 1.09/1.47 litselect = negord
% 1.09/1.47
% 1.09/1.47 maxweight = 15
% 1.09/1.47 maxdepth = 30000
% 1.09/1.47 maxlength = 115
% 1.09/1.47 maxnrvars = 195
% 1.09/1.47 excuselevel = 1
% 1.09/1.47 increasemaxweight = 1
% 1.09/1.47
% 1.09/1.47 maxselected = 10000000
% 1.09/1.47 maxnrclauses = 10000000
% 1.09/1.47
% 1.09/1.47 showgenerated = 0
% 1.09/1.47 showkept = 0
% 1.09/1.47 showselected = 0
% 1.09/1.47 showdeleted = 0
% 1.09/1.47 showresimp = 1
% 1.09/1.47 showstatus = 2000
% 1.09/1.47
% 1.09/1.47 prologoutput = 1
% 1.09/1.47 nrgoals = 5000000
% 1.09/1.47 totalproof = 1
% 1.09/1.47
% 1.09/1.47 Symbols occurring in the translation:
% 1.09/1.47
% 1.09/1.47 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.09/1.47 . [1, 2] (w:1, o:157, a:1, s:1, b:0),
% 1.09/1.47 ! [4, 1] (w:0, o:78, a:1, s:1, b:0),
% 1.09/1.47 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.09/1.47 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.09/1.47 'class_Ring__and__Field_Opordered__ring' [40, 1] (w:1, o:92, a:1, s:1
% 1.09/1.47 , b:0),
% 1.09/1.47 'c_HOL_Ozero__class_Ozero' [41, 1] (w:1, o:93, a:1, s:1, b:0),
% 1.09/1.47 'c_HOL_Otimes__class_Otimes' [42, 1] (w:1, o:94, a:1, s:1, b:0),
% 1.09/1.47 hAPP [44, 2] (w:1, o:182, a:1, s:1, b:0),
% 1.09/1.47 'c_lessequals' [46, 3] (w:1, o:189, a:1, s:1, b:0),
% 1.09/1.47 'class_Orderings_Oorder' [47, 1] (w:1, o:95, a:1, s:1, b:0),
% 1.09/1.47 'c_HOL_Oord__class_Oless' [48, 3] (w:1, o:190, a:1, s:1, b:0),
% 1.09/1.47 'class_Orderings_Olinorder' [49, 1] (w:1, o:96, a:1, s:1, b:0),
% 1.09/1.47 'tc_nat' [52, 0] (w:1, o:22, a:1, s:1, b:0),
% 1.09/1.47 'c_HOL_Oplus__class_Oplus' [53, 1] (w:1, o:98, a:1, s:1, b:0),
% 1.44/1.80 'c_Suc' [56, 0] (w:1, o:31, a:1, s:1, b:0),
% 1.44/1.80 'class_Ring__and__Field_Oordered__idom' [57, 1] (w:1, o:86, a:1, s:1
% 1.44/1.80 , b:0),
% 1.44/1.80 'c_Int_Onumber__class_Onumber__of' [59, 2] (w:1, o:183, a:1, s:1, b:0
% 1.44/1.80 ),
% 1.44/1.80 'c_Power_Opower__class_Opower' [60, 1] (w:1, o:99, a:1, s:1, b:0),
% 1.44/1.80 'class_RealVector_Oreal__normed__vector' [61, 1] (w:1, o:100, a:1, s:
% 1.44/1.80 1, b:0),
% 1.44/1.80 'c_SEQ_OBseq' [63, 2] (w:1, o:184, a:1, s:1, b:0),
% 1.44/1.80 'c_HOL_Ouminus__class_Ouminus' [64, 1] (w:1, o:101, a:1, s:1, b:0),
% 1.44/1.80 'c_COMBB' [65, 5] (w:1, o:200, a:1, s:1, b:0),
% 1.44/1.80 'c_Parity_Oeven__odd__class_Oeven' [66, 2] (w:1, o:185, a:1, s:1, b:0
% 1.44/1.80 ),
% 1.44/1.80 'class_Ring__and__Field_Oordered__semiring__strict' [67, 1] (w:1, o:
% 1.44/1.80 88, a:1, s:1, b:0),
% 1.44/1.80 'class_OrderedGroup_Ocomm__monoid__add' [70, 1] (w:1, o:102, a:1, s:1
% 1.44/1.80 , b:0),
% 1.44/1.80 'c_SetInterval_Oord__class_OatLeastLessThan' [72, 3] (w:1, o:191, a:1
% 1.44/1.80 , s:1, b:0),
% 1.44/1.80 'c_Finite__Set_Osetsum' [73, 4] (w:1, o:197, a:1, s:1, b:0),
% 1.44/1.80 'class_Ring__and__Field_Omult__mono' [75, 1] (w:1, o:103, a:1, s:1
% 1.44/1.80 , b:0),
% 1.44/1.80 'class_Ring__and__Field_Omult__mono1' [76, 1] (w:1, o:104, a:1, s:1
% 1.44/1.80 , b:0),
% 1.44/1.80 'class_Ring__and__Field_Oordered__semidom' [77, 1] (w:1, o:89, a:1
% 1.44/1.80 , s:1, b:0),
% 1.44/1.80 'class_OrderedGroup_Opordered__ab__group__add__abs' [78, 1] (w:1, o:
% 1.44/1.80 106, a:1, s:1, b:0),
% 1.44/1.80 'c_HOL_Oabs__class_Oabs' [79, 1] (w:1, o:107, a:1, s:1, b:0),
% 1.44/1.80 'class_Ring__and__Field_Oordered__ring__strict' [80, 1] (w:1, o:87
% 1.44/1.80 , a:1, s:1, b:0),
% 1.44/1.80 'class_Divides_Osemiring__div' [81, 1] (w:1, o:108, a:1, s:1, b:0),
% 1.44/1.80 'c_Divides_Odiv__class_Odiv' [82, 3] (w:1, o:192, a:1, s:1, b:0),
% 1.44/1.80 'class_Ring__and__Field_Osemiring__0' [83, 1] (w:1, o:113, a:1, s:1
% 1.44/1.80 , b:0),
% 1.44/1.80 'class_Power_Opower' [84, 1] (w:1, o:132, a:1, s:1, b:0),
% 1.44/1.80 'class_Ring__and__Field_Ozero__neq__one' [85, 1] (w:1, o:133, a:1, s:
% 1.44/1.80 1, b:0),
% 1.44/1.80 'class_Ring__and__Field_Ono__zero__divisors' [86, 1] (w:1, o:85, a:1
% 1.44/1.80 , s:1, b:0),
% 1.44/1.80 'class_Ring__and__Field_Omult__zero' [87, 1] (w:1, o:84, a:1, s:1, b:
% 1.44/1.80 0),
% 1.44/1.80 'class_OrderedGroup_Opordered__ab__group__add' [88, 1] (w:1, o:114
% 1.44/1.80 , a:1, s:1, b:0),
% 1.44/1.80 'c_Fact_Ofact__class_Ofact' [89, 2] (w:1, o:186, a:1, s:1, b:0),
% 1.44/1.80 'class_OrderedGroup_Olordered__ab__group__add' [90, 1] (w:1, o:115
% 1.44/1.80 , a:1, s:1, b:0),
% 1.44/1.80 'c_Groebner__Basis_Ogb__semiring' [96, 6] (w:1, o:203, a:1, s:1, b:0)
% 1.44/1.80 ,
% 1.44/1.80 'class_Ring__and__Field_Opordered__ring__abs' [98, 1] (w:1, o:134, a:
% 1.44/1.80 1, s:1, b:0),
% 1.44/1.80 'class_RealVector_Ometric__space' [100, 1] (w:1, o:135, a:1, s:1, b:0
% 1.44/1.80 ),
% 1.44/1.80 'class_RealVector_Oreal__normed__algebra__1' [101, 1] (w:1, o:136, a:
% 1.44/1.80 1, s:1, b:0),
% 1.44/1.80 'c_Lim_OLIM' [104, 5] (w:1, o:201, a:1, s:1, b:0),
% 1.44/1.80 'tc_Int_Oint' [105, 0] (w:1, o:46, a:1, s:1, b:0),
% 1.44/1.80 'c_SEQ_OLIMSEQ' [106, 3] (w:1, o:193, a:1, s:1, b:0),
% 1.44/1.80 'class_Lattices_Oboolean__algebra' [107, 1] (w:1, o:137, a:1, s:1, b:
% 1.44/1.80 0),
% 1.44/1.80 'class_OrderedGroup_Ogroup__add' [108, 1] (w:1, o:116, a:1, s:1, b:0)
% 1.44/1.80 ,
% 1.44/1.80 'class_OrderedGroup_Olordered__ab__group__add__abs' [109, 1] (w:1, o:
% 1.44/1.80 117, a:1, s:1, b:0),
% 1.44/1.80 'class_Ring__and__Field_Opordered__cancel__semiring' [110, 1] (w:1
% 1.44/1.80 , o:138, a:1, s:1, b:0),
% 1.44/1.80 'c_Series_Osummable' [111, 2] (w:1, o:187, a:1, s:1, b:0),
% 1.44/1.80 'c_HOL_Ominus__class_Ominus' [112, 1] (w:1, o:139, a:1, s:1, b:0),
% 1.44/1.80 'c_HOL_Oone__class_Oone' [113, 1] (w:1, o:97, a:1, s:1, b:0),
% 1.44/1.80 'class_OrderedGroup_Oordered__ab__group__add' [114, 1] (w:1, o:105
% 1.44/1.80 , a:1, s:1, b:0),
% 1.44/1.80 'class_Ring__and__Field_Opordered__semiring' [115, 1] (w:1, o:140, a:
% 1.44/1.80 1, s:1, b:0),
% 1.44/1.80 'class_Int_Onumber__ring' [117, 1] (w:1, o:141, a:1, s:1, b:0),
% 1.44/1.80 'class_RealVector_Oreal__normed__field' [123, 1] (w:1, o:142, a:1, s:
% 1.44/1.80 1, b:0),
% 1.44/1.80 'c_Deriv_Odifferentiable' [124, 3] (w:1, o:194, a:1, s:1, b:0),
% 1.44/1.80 'class_OrderedGroup_Opordered__comm__monoid__add' [125, 1] (w:1, o:
% 1.44/1.80 118, a:1, s:1, b:0),
% 1.44/1.80 'c_Lim_OisCont' [126, 4] (w:1, o:198, a:1, s:1, b:0),
% 1.44/1.80 'c_Int_OMin' [127, 0] (w:1, o:54, a:1, s:1, b:0),
% 1.44/1.80 'class_OrderedGroup_Oab__group__add' [129, 1] (w:1, o:119, a:1, s:1
% 5.98/6.40 , b:0),
% 5.98/6.40 'class_Ring__and__Field_Oabs__if' [130, 1] (w:1, o:143, a:1, s:1, b:0
% 5.98/6.40 ),
% 5.98/6.40 'class_Ring__and__Field_Oordered__semiring' [131, 1] (w:1, o:90, a:1
% 5.98/6.40 , s:1, b:0),
% 5.98/6.40 'c_Int_OPls' [132, 0] (w:1, o:55, a:1, s:1, b:0),
% 5.98/6.40 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [133, 1]
% 5.98/6.40 (w:1, o:120, a:1, s:1, b:0),
% 5.98/6.40 'c_Fun_Oinj__on' [136, 4] (w:1, o:199, a:1, s:1, b:0),
% 5.98/6.40 'class_Ring__and__Field_Olordered__ring' [138, 1] (w:1, o:83, a:1, s:
% 5.98/6.40 1, b:0),
% 5.98/6.40 'class_Orderings_Opreorder' [142, 1] (w:1, o:121, a:1, s:1, b:0),
% 5.98/6.40 'class_Ring__and__Field_Ocomm__ring__1' [146, 1] (w:1, o:144, a:1, s:
% 5.98/6.40 1, b:0),
% 5.98/6.40 'c_Int_OBit0' [147, 1] (w:1, o:145, a:1, s:1, b:0),
% 5.98/6.40 'c_Int_OBit1' [148, 1] (w:1, o:146, a:1, s:1, b:0),
% 5.98/6.40 'class_Int_Onumber' [150, 1] (w:1, o:147, a:1, s:1, b:0),
% 5.98/6.40 hBOOL [153, 1] (w:1, o:148, a:1, s:1, b:0),
% 5.98/6.40 'class_OrderedGroup_Omonoid__mult' [154, 1] (w:1, o:122, a:1, s:1, b:
% 5.98/6.40 0),
% 5.98/6.40 'class_Ring__and__Field_Oordered__comm__semiring__strict' [156, 1]
% 5.98/6.40 (w:1, o:91, a:1, s:1, b:0),
% 5.98/6.40 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [157, 1]
% 5.98/6.40 (w:1, o:123, a:1, s:1, b:0),
% 5.98/6.40 'class_RealVector_Oreal__normed__algebra' [158, 1] (w:1, o:149, a:1
% 5.98/6.40 , s:1, b:0),
% 5.98/6.40 'class_Ring__and__Field_Oring' [159, 1] (w:1, o:109, a:1, s:1, b:0),
% 5.98/6.40
% 5.98/6.40 'class_Ring__and__Field_Oring__no__zero__divisors' [160, 1] (w:1, o:
% 5.98/6.40 110, a:1, s:1, b:0),
% 5.98/6.40 'class_Ring__and__Field_Ocomm__semiring__1' [161, 1] (w:1, o:150, a:1
% 5.98/6.40 , s:1, b:0),
% 5.98/6.40 'class_Ring__and__Field_Oidom' [162, 1] (w:1, o:151, a:1, s:1, b:0),
% 5.98/6.40
% 5.98/6.40 'c_COMBC' [166, 5] (w:1, o:202, a:1, s:1, b:0),
% 5.98/6.40 'class_OrderedGroup_Opordered__ab__semigroup__add' [167, 1] (w:1, o:
% 5.98/6.40 124, a:1, s:1, b:0),
% 5.98/6.40 'class_OrderedGroup_Omonoid__add' [168, 1] (w:1, o:125, a:1, s:1, b:0
% 5.98/6.40 ),
% 5.98/6.40 'class_Ring__and__Field_Oring__1__no__zero__divisors' [173, 1] (w:1
% 5.98/6.40 , o:111, a:1, s:1, b:0),
% 5.98/6.40 'v_m' [174, 0] (w:1, o:68, a:1, s:1, b:0),
% 5.98/6.40 'v_i' [175, 0] (w:1, o:69, a:1, s:1, b:0),
% 5.98/6.40 'tc_fun' [177, 2] (w:1, o:188, a:1, s:1, b:0),
% 5.98/6.40 'class_Ring__and__Field_Oring__1' [178, 1] (w:1, o:112, a:1, s:1, b:0
% 5.98/6.40 ),
% 5.98/6.40 'class_Ring__and__Field_Osemiring__1' [180, 1] (w:1, o:152, a:1, s:1
% 5.98/6.40 , b:0),
% 5.98/6.40 'c_FFT__Mirabelle_Oroot' [181, 1] (w:1, o:153, a:1, s:1, b:0),
% 5.98/6.40 'c_Complex_Oii' [182, 0] (w:1, o:70, a:1, s:1, b:0),
% 5.98/6.40 'c_FFT__Mirabelle_ODFT' [183, 3] (w:1, o:195, a:1, s:1, b:0),
% 5.98/6.40 'tc_Complex_Ocomplex' [184, 0] (w:1, o:71, a:1, s:1, b:0),
% 5.98/6.40 'class_OrderedGroup_Ocancel__ab__semigroup__add' [185, 1] (w:1, o:126
% 5.98/6.40 , a:1, s:1, b:0),
% 5.98/6.40 'class_OrderedGroup_Ocancel__semigroup__add' [186, 1] (w:1, o:127, a:
% 5.98/6.40 1, s:1, b:0),
% 5.98/6.40 'class_Ring__and__Field_Osemiring' [187, 1] (w:1, o:154, a:1, s:1, b:
% 5.98/6.40 0),
% 5.98/6.40 'class_Ring__and__Field_Ocomm__semiring' [188, 1] (w:1, o:155, a:1
% 5.98/6.40 , s:1, b:0),
% 5.98/6.40 'class_OrderedGroup_Oab__semigroup__mult' [192, 1] (w:1, o:128, a:1
% 5.98/6.40 , s:1, b:0),
% 5.98/6.40 'class_OrderedGroup_Ocomm__monoid__mult' [193, 1] (w:1, o:129, a:1
% 5.98/6.40 , s:1, b:0),
% 5.98/6.40 'class_OrderedGroup_Oab__semigroup__idem__mult' [194, 1] (w:1, o:130
% 5.98/6.40 , a:1, s:1, b:0),
% 5.98/6.40 'class_OrderedGroup_Oab__semigroup__add' [195, 1] (w:1, o:131, a:1
% 5.98/6.40 , s:1, b:0),
% 5.98/6.40 'class_Int_Oring__char__0' [198, 1] (w:1, o:156, a:1, s:1, b:0),
% 5.98/6.40 'v_a' [199, 0] (w:1, o:74, a:1, s:1, b:0),
% 5.98/6.40 'c_fequal' [202, 3] (w:1, o:196, a:1, s:1, b:0).
% 5.98/6.40
% 5.98/6.40
% 5.98/6.40 Starting Search:
% 5.98/6.40
% 5.98/6.40 Resimplifying inuse:
% 5.98/6.40 Done
% 5.98/6.40
% 5.98/6.40
% 5.98/6.40 Intermediate Status:
% 5.98/6.40 Generated: 3369
% 5.98/6.40 Kept: 2001
% 5.98/6.40 Inuse: 85
% 5.98/6.40 Deleted: 2
% 5.98/6.40 Deletedinuse: 0
% 5.98/6.40
% 5.98/6.40 Resimplifying inuse:
% 5.98/6.40 Done
% 5.98/6.40
% 5.98/6.40 Resimplifying inuse:
% 5.98/6.40 Done
% 5.98/6.40
% 5.98/6.40
% 5.98/6.40 Intermediate Status:
% 5.98/6.40 Generated: 8059
% 5.98/6.40 Kept: 4027
% 5.98/6.40 Inuse: 170
% 5.98/6.40 Deleted: 3
% 5.98/6.40 Deletedinuse: 0
% 5.98/6.40
% 5.98/6.40 Resimplifying inuse:
% 5.98/6.40 Done
% 5.98/6.40
% 5.98/6.40 Resimplifying inuse:
% 5.98/6.40 Done
% 5.98/6.40
% 5.98/6.40
% 5.98/6.40 Intermediate Status:
% 5.98/6.40 Generated: 14567
% 5.98/6.40 Kept: 6057
% 5.98/6.40 Inuse: 243
% 5.98/6.40 Deleted: 4
% 5.98/6.40 Deletedinuse: 1
% 5.98/6.40
% 5.98/6.40 Resimplifying inuse:
% 5.98/6.40 Done
% 5.98/6.40
% 5.98/6.40 Resimplifying inuse:
% 5.98/6.40 Done
% 5.98/6.40
% 5.98/6.40
% 5.98/6.40 Intermediate Status:
% 5.98/6.40 Generated: 24174
% 5.98/6.40 Kept: 8329
% 25.44/25.82 Inuse: 268
% 25.44/25.82 Deleted: 4
% 25.44/25.82 Deletedinuse: 1
% 25.44/25.82
% 25.44/25.82 Resimplifying inuse:
% 25.44/25.82 Done
% 25.44/25.82
% 25.44/25.82
% 25.44/25.82 Intermediate Status:
% 25.44/25.82 Generated: 31339
% 25.44/25.82 Kept: 10449
% 25.44/25.82 Inuse: 293
% 25.44/25.82 Deleted: 4
% 25.44/25.82 Deletedinuse: 1
% 25.44/25.82
% 25.44/25.82 Resimplifying inuse:
% 25.44/25.82 Done
% 25.44/25.82
% 25.44/25.82 Resimplifying inuse:
% 25.44/25.82 Done
% 25.44/25.82
% 25.44/25.82
% 25.44/25.82 Intermediate Status:
% 25.44/25.82 Generated: 38176
% 25.44/25.82 Kept: 12780
% 25.44/25.82 Inuse: 337
% 25.44/25.82 Deleted: 5
% 25.44/25.82 Deletedinuse: 1
% 25.44/25.82
% 25.44/25.82 Resimplifying inuse:
% 25.44/25.82 Done
% 25.44/25.82
% 25.44/25.82 Resimplifying inuse:
% 25.44/25.82 Done
% 25.44/25.82
% 25.44/25.82
% 25.44/25.82 Intermediate Status:
% 25.44/25.82 Generated: 43935
% 25.44/25.82 Kept: 14984
% 25.44/25.82 Inuse: 365
% 25.44/25.82 Deleted: 10
% 25.44/25.82 Deletedinuse: 5
% 25.44/25.82
% 25.44/25.82 Resimplifying inuse:
% 25.44/25.82 Done
% 25.44/25.82
% 25.44/25.82 Resimplifying inuse:
% 25.44/25.82 Done
% 25.44/25.82
% 25.44/25.82
% 25.44/25.82 Intermediate Status:
% 25.44/25.82 Generated: 49133
% 25.44/25.82 Kept: 17098
% 25.44/25.82 Inuse: 394
% 25.44/25.82 Deleted: 12
% 25.44/25.82 Deletedinuse: 5
% 25.44/25.82
% 25.44/25.82 Resimplifying inuse:
% 25.44/25.82 Done
% 25.44/25.82
% 25.44/25.82 Resimplifying inuse:
% 25.44/25.82 Done
% 25.44/25.82
% 25.44/25.82
% 25.44/25.82 Intermediate Status:
% 25.44/25.82 Generated: 58464
% 25.44/25.82 Kept: 19239
% 25.44/25.82 Inuse: 419
% 25.44/25.82 Deleted: 12
% 25.44/25.82 Deletedinuse: 5
% 25.44/25.82
% 25.44/25.82 Resimplifying inuse:
% 25.44/25.82 Done
% 25.44/25.82
% 25.44/25.82 Resimplifying clauses:
% 25.44/25.82 Done
% 25.44/25.82
% 25.44/25.82 Resimplifying inuse:
% 25.44/25.82 Done
% 25.44/25.82
% 25.44/25.82
% 25.44/25.82 Intermediate Status:
% 25.44/25.82 Generated: 67585
% 25.44/25.82 Kept: 21240
% 25.44/25.82 Inuse: 449
% 25.44/25.82 Deleted: 776
% 25.44/25.82 Deletedinuse: 5
% 25.44/25.82
% 25.44/25.82 Resimplifying inuse:
% 25.44/25.82 Done
% 25.44/25.82
% 25.44/25.82
% 25.44/25.82 Intermediate Status:
% 25.44/25.82 Generated: 72663
% 25.44/25.82 Kept: 23366
% 25.44/25.82 Inuse: 483
% 25.44/25.82 Deleted: 776
% 25.44/25.82 Deletedinuse: 5
% 25.44/25.82
% 25.44/25.82 Resimplifying inuse:
% 25.44/25.82 Done
% 25.44/25.82
% 25.44/25.82 Resimplifying inuse:
% 25.44/25.82 Done
% 25.44/25.82
% 25.44/25.82
% 25.44/25.82 Intermediate Status:
% 25.44/25.82 Generated: 79357
% 25.44/25.82 Kept: 25512
% 25.44/25.82 Inuse: 528
% 25.44/25.82 Deleted: 776
% 25.44/25.82 Deletedinuse: 5
% 25.44/25.82
% 25.44/25.82 Resimplifying inuse:
% 25.44/25.82 Done
% 25.44/25.82
% 25.44/25.82 Resimplifying inuse:
% 25.44/25.82 Done
% 25.44/25.82
% 25.44/25.82
% 25.44/25.82 Intermediate Status:
% 25.44/25.82 Generated: 87267
% 25.44/25.82 Kept: 27657
% 25.44/25.82 Inuse: 563
% 25.44/25.82 Deleted: 776
% 25.44/25.82 Deletedinuse: 5
% 25.44/25.82
% 25.44/25.82 Resimplifying inuse:
% 25.44/25.82 Done
% 25.44/25.82
% 25.44/25.82 Resimplifying inuse:
% 25.44/25.82 Done
% 25.44/25.82
% 25.44/25.82
% 25.44/25.82 Intermediate Status:
% 25.44/25.82 Generated: 93289
% 25.44/25.82 Kept: 29662
% 25.44/25.82 Inuse: 606
% 25.44/25.82 Deleted: 776
% 25.44/25.82 Deletedinuse: 5
% 25.44/25.82
% 25.44/25.82 Resimplifying inuse:
% 25.44/25.82 Done
% 25.44/25.82
% 25.44/25.82 Resimplifying inuse:
% 25.44/25.82 Done
% 25.44/25.82
% 25.44/25.82
% 25.44/25.82 Intermediate Status:
% 25.44/25.82 Generated: 99471
% 25.44/25.82 Kept: 31681
% 25.44/25.82 Inuse: 638
% 25.44/25.82 Deleted: 776
% 25.44/25.82 Deletedinuse: 5
% 25.44/25.82
% 25.44/25.82 Resimplifying inuse:
% 25.44/25.82 Done
% 25.44/25.82
% 25.44/25.82
% 25.44/25.82 Intermediate Status:
% 25.44/25.82 Generated: 106804
% 25.44/25.82 Kept: 34231
% 25.44/25.82 Inuse: 663
% 25.44/25.82 Deleted: 776
% 25.44/25.82 Deletedinuse: 5
% 25.44/25.82
% 25.44/25.82 Resimplifying inuse:
% 25.44/25.82 Done
% 25.44/25.82
% 25.44/25.82 Resimplifying inuse:
% 25.44/25.82 Done
% 25.44/25.82
% 25.44/25.82
% 25.44/25.82 Intermediate Status:
% 25.44/25.82 Generated: 113923
% 25.44/25.82 Kept: 36288
% 25.44/25.82 Inuse: 708
% 25.44/25.82 Deleted: 776
% 25.44/25.82 Deletedinuse: 5
% 25.44/25.82
% 25.44/25.82 Resimplifying inuse:
% 25.44/25.82 Done
% 25.44/25.82
% 25.44/25.82 Resimplifying inuse:
% 25.44/25.82 Done
% 25.44/25.82
% 25.44/25.82
% 25.44/25.82 Intermediate Status:
% 25.44/25.82 Generated: 126338
% 25.44/25.82 Kept: 39007
% 25.44/25.82 Inuse: 748
% 25.44/25.82 Deleted: 776
% 25.44/25.82 Deletedinuse: 5
% 25.44/25.82
% 25.44/25.82 Resimplifying inuse:
% 25.44/25.82 Done
% 25.44/25.82
% 25.44/25.82 Resimplifying inuse:
% 25.44/25.82 Done
% 25.44/25.82
% 25.44/25.82
% 25.44/25.82 Intermediate Status:
% 25.44/25.82 Generated: 136051
% 25.44/25.82 Kept: 41876
% 25.44/25.82 Inuse: 762
% 25.44/25.82 Deleted: 776
% 25.44/25.82 Deletedinuse: 5
% 25.44/25.82
% 25.44/25.82 Resimplifying inuse:
% 25.44/25.82 Done
% 25.44/25.82
% 25.44/25.82 Resimplifying clauses:
% 25.44/25.82 Done
% 25.44/25.82
% 25.44/25.82 Resimplifying inuse:
% 25.44/25.82 Done
% 25.44/25.82
% 25.44/25.82
% 25.44/25.82 Intermediate Status:
% 25.44/25.82 Generated: 143090
% 25.44/25.82 Kept: 44190
% 25.44/25.82 Inuse: 793
% 25.44/25.82 Deleted: 1132
% 25.44/25.82 Deletedinuse: 5
% 25.44/25.82
% 25.44/25.82 Resimplifying inuse:
% 25.44/25.82 Done
% 25.44/25.82
% 25.44/25.82 Resimplifying inuse:
% 25.44/25.82 Done
% 25.44/25.82
% 25.44/25.82
% 25.44/25.82 Intermediate Status:
% 25.44/25.82 Generated: 150696
% 25.44/25.82 Kept: 46391
% 25.44/25.82 Inuse: 823
% 25.44/25.82 Deleted: 1132
% 25.44/25.82 Deletedinuse: 5
% 25.44/25.82
% 25.44/25.82 Resimplifying inuse:
% 25.44/25.82 Done
% 25.44/25.82
% 25.44/25.82 Resimplifying inuse:
% 25.44/25.82 Done
% 25.44/25.82
% 25.44/25.82
% 25.44/25.82 Intermediate Status:
% 25.44/25.82 Generated: 158286
% 25.44/25.82 Kept: 48432
% 25.44/25.82 Inuse: 858
% 25.44/25.82 Deleted: 1132
% 25.44/25.82 Deletedinuse: 5
% 25.44/25.82
% 25.44/25.82 Resimplifying inuse:
% 25.44/25.82 Done
% 25.44/25.82
% 25.44/25.82 Resimplifying inuse:
% 25.44/25.82 Done
% 25.44/25.82
% 25.44/25.82
% 25.44/25.82 Intermediate Status:
% 25.44/25.82 Generated: 166835
% 25.44/25.82 Kept: 50521
% 25.44/25.82 Inuse: 888
% 25.44/25.82 Deleted: 1132
% 25.44/25.82 Deletedinuse: 5
% 25.44/25.82
% 25.44/25.82 Resimplifying inuse:
% 25.44/25.82 Done
% 25.44/25.82
% 25.44/25.82 Resimplifying inuse:
% 25.44/25.82 Done
% 25.44/25.82
% 25.44/25.82
% 25.44/25.82 Intermediate Status:
% 25.44/25.82 Generated: 173868
% 25.44/25.82 Kept: 52545
% 25.44/25.82 Inuse: 920
% 25.44/25.82 Deleted: 1132
% 25.44/25.82 Deletedinuse: 5
% 25.44/25.82
% 25.44/25.82 Resimplifying inuse:
% 25.44/25.82 Done
% 25.44/25.82
% 25.44/25.82 Resimplifying inuse:
% 25.44/25.82 Done
% 25.44/25.82
% 25.44/25.82
% 25.44/25.82 Intermediate Status:
% 25.44/25.82 Generated: 181328
% 25.44/25.82 Kept: 54565
% 25.44/25.82 Inuse: 939
% 25.44/25.82 Deleted: 1133
% 25.44/25.82 Deletedinuse: 6
% 25.44/25.82
% 25.44/25.82 Resimplifying inuse:
% 25.44/25.82 Done
% 25.44/25.82
% 25.44/25.82
% 25.44/25.82 Intermediate Status:
% 25.44/25.82 Generated: 191447
% 25.44/25.82 Kept: 56570
% 25.44/25.82 Inuse: 978
% 25.44/25.82 Deleted: 1133
% 25.44/25.82 Deletedinuse: 6
% 25.44/25.82
% 25.44/25.82 Resimplifying inuse:
% 25.44/25.82 Done
% 25.44/25.82
% 25.44/25.82 Resimplifying inuse:
% 25.44/25.82 Done
% 25.44/25.82
% 25.44/25.82
% 25.44/25.82 Intermediate Status:
% 25.44/25.82 Generated: 202037
% 25.44/25.82 Kept: 59227
% 25.44/25.82 Inuse: 1003
% 25.44/25.82 Deleted: 1133
% 25.44/25.82 Deletedinuse: 6
% 25.44/25.82
% 25.44/25.82 Resimplifying inuse:
% 25.44/25.82 Done
% 25.44/25.82
% 25.44/25.82 Resimplifying inuse:
% 25.44/25.82 Done
% 25.44/25.82
% 25.44/25.82
% 25.44/25.82 Intermediate Status:
% 25.44/25.82 Generated: 210269
% 25.44/25.82 Kept: 61432
% 25.44/25.82 Inuse: 1028
% 25.44/25.82 Deleted: 1133
% 25.44/25.82 Deletedinuse: 6
% 25.44/25.82
% 25.44/25.82 Resimplifying inuse:
% 73.29/73.64 Done
% 73.29/73.64
% 73.29/73.64 Resimplifying clauses:
% 73.29/73.64 Done
% 73.29/73.64
% 73.29/73.64
% 73.29/73.64 Intermediate Status:
% 73.29/73.64 Generated: 217755
% 73.29/73.64 Kept: 63483
% 73.29/73.64 Inuse: 1043
% 73.29/73.64 Deleted: 1486
% 73.29/73.64 Deletedinuse: 6
% 73.29/73.64
% 73.29/73.64 Resimplifying inuse:
% 73.29/73.64 Done
% 73.29/73.64
% 73.29/73.64 Resimplifying inuse:
% 73.29/73.64 Done
% 73.29/73.64
% 73.29/73.64
% 73.29/73.64 Intermediate Status:
% 73.29/73.64 Generated: 225078
% 73.29/73.64 Kept: 65486
% 73.29/73.64 Inuse: 1073
% 73.29/73.64 Deleted: 1488
% 73.29/73.64 Deletedinuse: 7
% 73.29/73.64
% 73.29/73.64 Resimplifying inuse:
% 73.29/73.64 Done
% 73.29/73.64
% 73.29/73.64 Resimplifying inuse:
% 73.29/73.64 Done
% 73.29/73.64
% 73.29/73.64
% 73.29/73.64 Intermediate Status:
% 73.29/73.64 Generated: 234417
% 73.29/73.64 Kept: 67651
% 73.29/73.64 Inuse: 1111
% 73.29/73.64 Deleted: 1489
% 73.29/73.64 Deletedinuse: 7
% 73.29/73.64
% 73.29/73.64 Resimplifying inuse:
% 73.29/73.64 Done
% 73.29/73.64
% 73.29/73.64 Resimplifying inuse:
% 73.29/73.64 Done
% 73.29/73.64
% 73.29/73.64
% 73.29/73.64 Intermediate Status:
% 73.29/73.64 Generated: 242892
% 73.29/73.64 Kept: 69746
% 73.29/73.64 Inuse: 1131
% 73.29/73.64 Deleted: 1489
% 73.29/73.64 Deletedinuse: 7
% 73.29/73.64
% 73.29/73.64 Resimplifying inuse:
% 73.29/73.64 Done
% 73.29/73.64
% 73.29/73.64 Resimplifying inuse:
% 73.29/73.64 Done
% 73.29/73.64
% 73.29/73.64
% 73.29/73.64 Intermediate Status:
% 73.29/73.64 Generated: 262504
% 73.29/73.64 Kept: 74288
% 73.29/73.64 Inuse: 1161
% 73.29/73.64 Deleted: 1489
% 73.29/73.64 Deletedinuse: 7
% 73.29/73.64
% 73.29/73.64 Resimplifying inuse:
% 73.29/73.64 Done
% 73.29/73.64
% 73.29/73.64 Resimplifying inuse:
% 73.29/73.64 Done
% 73.29/73.64
% 73.29/73.64
% 73.29/73.64 Intermediate Status:
% 73.29/73.64 Generated: 288512
% 73.29/73.64 Kept: 76996
% 73.29/73.64 Inuse: 1196
% 73.29/73.64 Deleted: 1489
% 73.29/73.64 Deletedinuse: 7
% 73.29/73.64
% 73.29/73.64 Resimplifying inuse:
% 73.29/73.64 Done
% 73.29/73.64
% 73.29/73.64 Resimplifying inuse:
% 73.29/73.64 Done
% 73.29/73.64
% 73.29/73.64
% 73.29/73.64 Intermediate Status:
% 73.29/73.64 Generated: 296794
% 73.29/73.64 Kept: 79005
% 73.29/73.64 Inuse: 1213
% 73.29/73.64 Deleted: 1489
% 73.29/73.64 Deletedinuse: 7
% 73.29/73.64
% 73.29/73.64 Resimplifying inuse:
% 73.29/73.64 Done
% 73.29/73.64
% 73.29/73.64 Resimplifying inuse:
% 73.29/73.64 Done
% 73.29/73.64
% 73.29/73.64
% 73.29/73.64 Intermediate Status:
% 73.29/73.64 Generated: 306453
% 73.29/73.64 Kept: 81191
% 73.29/73.64 Inuse: 1246
% 73.29/73.64 Deleted: 1489
% 73.29/73.64 Deletedinuse: 7
% 73.29/73.64
% 73.29/73.64 Resimplifying inuse:
% 73.29/73.64 Done
% 73.29/73.64
% 73.29/73.64 Resimplifying clauses:
% 73.29/73.64 Done
% 73.29/73.64
% 73.29/73.64 Resimplifying inuse:
% 73.29/73.64 Done
% 73.29/73.64
% 73.29/73.64
% 73.29/73.64 Intermediate Status:
% 73.29/73.64 Generated: 315788
% 73.29/73.64 Kept: 83312
% 73.29/73.64 Inuse: 1276
% 73.29/73.64 Deleted: 1791
% 73.29/73.64 Deletedinuse: 7
% 73.29/73.64
% 73.29/73.64 Resimplifying inuse:
% 73.29/73.64 Done
% 73.29/73.64
% 73.29/73.64 Resimplifying inuse:
% 73.29/73.64 Done
% 73.29/73.64
% 73.29/73.64
% 73.29/73.64 Intermediate Status:
% 73.29/73.64 Generated: 324502
% 73.29/73.64 Kept: 85319
% 73.29/73.64 Inuse: 1305
% 73.29/73.64 Deleted: 1791
% 73.29/73.64 Deletedinuse: 7
% 73.29/73.64
% 73.29/73.64 Resimplifying inuse:
% 73.29/73.64 Done
% 73.29/73.64
% 73.29/73.64 Resimplifying inuse:
% 73.29/73.64 Done
% 73.29/73.64
% 73.29/73.64
% 73.29/73.64 Intermediate Status:
% 73.29/73.64 Generated: 336105
% 73.29/73.64 Kept: 87708
% 73.29/73.64 Inuse: 1331
% 73.29/73.64 Deleted: 1791
% 73.29/73.64 Deletedinuse: 7
% 73.29/73.64
% 73.29/73.64 Resimplifying inuse:
% 73.29/73.64 Done
% 73.29/73.64
% 73.29/73.64
% 73.29/73.64 Intermediate Status:
% 73.29/73.64 Generated: 343867
% 73.29/73.64 Kept: 90333
% 73.29/73.64 Inuse: 1343
% 73.29/73.64 Deleted: 1791
% 73.29/73.64 Deletedinuse: 7
% 73.29/73.64
% 73.29/73.64 Resimplifying inuse:
% 73.29/73.64 Done
% 73.29/73.64
% 73.29/73.64 Resimplifying inuse:
% 73.29/73.64 Done
% 73.29/73.64
% 73.29/73.64
% 73.29/73.64 Intermediate Status:
% 73.29/73.64 Generated: 352669
% 73.29/73.64 Kept: 92419
% 73.29/73.64 Inuse: 1375
% 73.29/73.64 Deleted: 1792
% 73.29/73.64 Deletedinuse: 7
% 73.29/73.64
% 73.29/73.64 Resimplifying inuse:
% 73.29/73.64 Done
% 73.29/73.64
% 73.29/73.64 Resimplifying inuse:
% 73.29/73.64 Done
% 73.29/73.64
% 73.29/73.64
% 73.29/73.64 Intermediate Status:
% 73.29/73.64 Generated: 360213
% 73.29/73.64 Kept: 94730
% 73.29/73.64 Inuse: 1400
% 73.29/73.64 Deleted: 1792
% 73.29/73.64 Deletedinuse: 7
% 73.29/73.64
% 73.29/73.64 Resimplifying inuse:
% 73.29/73.64 Done
% 73.29/73.64
% 73.29/73.64 Resimplifying inuse:
% 73.29/73.64 Done
% 73.29/73.64
% 73.29/73.64
% 73.29/73.64 Intermediate Status:
% 73.29/73.64 Generated: 368619
% 73.29/73.64 Kept: 96920
% 73.29/73.64 Inuse: 1430
% 73.29/73.64 Deleted: 1792
% 73.29/73.64 Deletedinuse: 7
% 73.29/73.64
% 73.29/73.64 Resimplifying inuse:
% 73.29/73.64 Done
% 73.29/73.64
% 73.29/73.64 Resimplifying inuse:
% 73.29/73.64 Done
% 73.29/73.64
% 73.29/73.64
% 73.29/73.64 Intermediate Status:
% 73.29/73.64 Generated: 395279
% 73.29/73.64 Kept: 98926
% 73.29/73.64 Inuse: 1463
% 73.29/73.64 Deleted: 1792
% 73.29/73.64 Deletedinuse: 7
% 73.29/73.64
% 73.29/73.64 Resimplifying inuse:
% 73.29/73.64 Done
% 73.29/73.64
% 73.29/73.64 Resimplifying inuse:
% 73.29/73.64 Done
% 73.29/73.64
% 73.29/73.64
% 73.29/73.64 Intermediate Status:
% 73.29/73.64 Generated: 405234
% 73.29/73.64 Kept: 101351
% 73.29/73.64 Inuse: 1495
% 73.29/73.64 Deleted: 1792
% 73.29/73.64 Deletedinuse: 7
% 73.29/73.64
% 73.29/73.64 Resimplifying inuse:
% 73.29/73.64 Done
% 73.29/73.64
% 73.29/73.64 Resimplifying inuse:
% 73.29/73.64 Done
% 73.29/73.64
% 73.29/73.64 Resimplifying clauses:
% 73.29/73.64 Done
% 73.29/73.64
% 73.29/73.64
% 73.29/73.64 Intermediate Status:
% 73.29/73.64 Generated: 414096
% 73.29/73.64 Kept: 103650
% 73.29/73.64 Inuse: 1515
% 73.29/73.64 Deleted: 2207
% 73.29/73.64 Deletedinuse: 7
% 73.29/73.64
% 73.29/73.64 Resimplifying inuse:
% 73.29/73.64 Done
% 73.29/73.64
% 73.29/73.64 Resimplifying inuse:
% 73.29/73.64 Done
% 73.29/73.64
% 73.29/73.64
% 73.29/73.64 Intermediate Status:
% 73.29/73.64 Generated: 423232
% 73.29/73.64 Kept: 105815
% 73.29/73.64 Inuse: 1535
% 73.29/73.64 Deleted: 2207
% 73.29/73.64 Deletedinuse: 7
% 73.29/73.64
% 73.29/73.64 Resimplifying inuse:
% 73.29/73.64 Done
% 73.29/73.64
% 73.29/73.64 Resimplifying inuse:
% 73.29/73.64 Done
% 73.29/73.64
% 73.29/73.64
% 73.29/73.64 Intermediate Status:
% 73.29/73.64 Generated: 433033
% 73.29/73.64 Kept: 107859
% 73.29/73.64 Inuse: 1565
% 73.29/73.64 Deleted: 2207
% 73.29/73.64 Deletedinuse: 7
% 73.29/73.64
% 73.29/73.64 Resimplifying inuse:
% 73.29/73.64 Done
% 73.29/73.64
% 73.29/73.64 Resimplifying inuse:
% 73.29/73.64 Done
% 73.29/73.64
% 73.29/73.64
% 73.29/73.64 Intermediate Status:
% 73.29/73.64 Generated: 445897
% 73.29/73.64 Kept: 110038
% 73.29/73.64 Inuse: 1605
% 73.29/73.64 Deleted: 2207
% 73.29/73.64 Deletedinuse: 7
% 73.29/73.64
% 73.29/73.64 Resimplifying inuse:
% 73.29/73.64 Done
% 73.29/73.64
% 73.29/73.64 Resimplifying inuse:
% 73.29/73.64 Done
% 73.29/73.64
% 73.29/73.64
% 73.29/73.64 Intermediate Status:
% 73.29/73.64 Generated: 456757
% 73.29/73.64 Kept: 112057
% 73.29/73.64 Inuse: 1639
% 73.29/73.64 Deleted: 2207
% 73.29/73.64 Deletedinuse: 7
% 73.29/73.64
% 73.29/73.64 Resimplifying inuse:
% 73.29/73.64 Done
% 73.29/73.64
% 73.29/73.64 Resimplifying inuse:
% 73.29/73.64 Done
% 73.29/73.64
% 73.29/73.64
% 73.29/73.64 Intermediate Status:
% 73.29/73.64 Generated: 467065
% 73.29/73.64 Kept: 114313
% 73.29/73.64 Inuse: 1665
% 73.29/73.64 Deleted: 2207
% 73.29/73.64 Deletedinuse: 7
% 73.29/73.64
% 73.29/73.64 Resimplifying inuse:
% 73.29/73.64 Done
% 73.29/73.64
% 73.29/73.64 Resimplifying inuse:
% 73.29/73.64 Done
% 73.29/73.64
% 73.29/73.64
% 73.29/73.64 Intermediate Status:
% 73.29/73.64 Generated: 498787
% 73.29/73.64 Kept: 119346
% 162.49/162.89 Inuse: 1705
% 162.49/162.89 Deleted: 2207
% 162.49/162.89 Deletedinuse: 7
% 162.49/162.89
% 162.49/162.89 Resimplifying inuse:
% 162.49/162.89 Done
% 162.49/162.89
% 162.49/162.89
% 162.49/162.89 Intermediate Status:
% 162.49/162.89 Generated: 519692
% 162.49/162.89 Kept: 122843
% 162.49/162.89 Inuse: 1710
% 162.49/162.89 Deleted: 2207
% 162.49/162.89 Deletedinuse: 7
% 162.49/162.89
% 162.49/162.89 Resimplifying inuse:
% 162.49/162.89 Done
% 162.49/162.89
% 162.49/162.89 Resimplifying clauses:
% 162.49/162.89 Done
% 162.49/162.89
% 162.49/162.89
% 162.49/162.89 Intermediate Status:
% 162.49/162.89 Generated: 551061
% 162.49/162.89 Kept: 127659
% 162.49/162.89 Inuse: 1715
% 162.49/162.89 Deleted: 2511
% 162.49/162.89 Deletedinuse: 7
% 162.49/162.89
% 162.49/162.89 Resimplifying inuse:
% 162.49/162.89 Done
% 162.49/162.89
% 162.49/162.89
% 162.49/162.89 Intermediate Status:
% 162.49/162.89 Generated: 559428
% 162.49/162.89 Kept: 129788
% 162.49/162.89 Inuse: 1720
% 162.49/162.89 Deleted: 2511
% 162.49/162.89 Deletedinuse: 7
% 162.49/162.89
% 162.49/162.89 Resimplifying inuse:
% 162.49/162.89 Done
% 162.49/162.89
% 162.49/162.89 Resimplifying inuse:
% 162.49/162.89 Done
% 162.49/162.89
% 162.49/162.89
% 162.49/162.89 Intermediate Status:
% 162.49/162.89 Generated: 573293
% 162.49/162.89 Kept: 132059
% 162.49/162.89 Inuse: 1755
% 162.49/162.89 Deleted: 2511
% 162.49/162.89 Deletedinuse: 7
% 162.49/162.89
% 162.49/162.89 Resimplifying inuse:
% 162.49/162.89 Done
% 162.49/162.89
% 162.49/162.89 Resimplifying inuse:
% 162.49/162.89 Done
% 162.49/162.89
% 162.49/162.89
% 162.49/162.89 Intermediate Status:
% 162.49/162.89 Generated: 584685
% 162.49/162.89 Kept: 134094
% 162.49/162.89 Inuse: 1785
% 162.49/162.89 Deleted: 2511
% 162.49/162.89 Deletedinuse: 7
% 162.49/162.89
% 162.49/162.89 Resimplifying inuse:
% 162.49/162.89 Done
% 162.49/162.89
% 162.49/162.89
% 162.49/162.89 Intermediate Status:
% 162.49/162.89 Generated: 593132
% 162.49/162.89 Kept: 136107
% 162.49/162.89 Inuse: 1800
% 162.49/162.89 Deleted: 2511
% 162.49/162.89 Deletedinuse: 7
% 162.49/162.89
% 162.49/162.89 Resimplifying inuse:
% 162.49/162.89 Done
% 162.49/162.89
% 162.49/162.89 Resimplifying inuse:
% 162.49/162.89 Done
% 162.49/162.89
% 162.49/162.89
% 162.49/162.89 Intermediate Status:
% 162.49/162.89 Generated: 602283
% 162.49/162.89 Kept: 138111
% 162.49/162.89 Inuse: 1822
% 162.49/162.89 Deleted: 2511
% 162.49/162.89 Deletedinuse: 7
% 162.49/162.89
% 162.49/162.89 Resimplifying inuse:
% 162.49/162.89 Done
% 162.49/162.89
% 162.49/162.89 Resimplifying inuse:
% 162.49/162.89 Done
% 162.49/162.89
% 162.49/162.89
% 162.49/162.89 Intermediate Status:
% 162.49/162.89 Generated: 611701
% 162.49/162.89 Kept: 140168
% 162.49/162.89 Inuse: 1850
% 162.49/162.89 Deleted: 2511
% 162.49/162.89 Deletedinuse: 7
% 162.49/162.89
% 162.49/162.89 Resimplifying inuse:
% 162.49/162.89 Done
% 162.49/162.89
% 162.49/162.89 Resimplifying inuse:
% 162.49/162.89 Done
% 162.49/162.89
% 162.49/162.89
% 162.49/162.89 Intermediate Status:
% 162.49/162.89 Generated: 625761
% 162.49/162.89 Kept: 142178
% 162.49/162.89 Inuse: 1890
% 162.49/162.89 Deleted: 2511
% 162.49/162.89 Deletedinuse: 7
% 162.49/162.89
% 162.49/162.89 Resimplifying clauses:
% 162.49/162.89 Done
% 162.49/162.89
% 162.49/162.89 Resimplifying inuse:
% 162.49/162.89 Done
% 162.49/162.89
% 162.49/162.89
% 162.49/162.89 Intermediate Status:
% 162.49/162.89 Generated: 643125
% 162.49/162.89 Kept: 145100
% 162.49/162.89 Inuse: 1905
% 162.49/162.89 Deleted: 2856
% 162.49/162.89 Deletedinuse: 7
% 162.49/162.89
% 162.49/162.89 Resimplifying inuse:
% 162.49/162.89 Done
% 162.49/162.89
% 162.49/162.89
% 162.49/162.89 Intermediate Status:
% 162.49/162.89 Generated: 653768
% 162.49/162.89 Kept: 147380
% 162.49/162.89 Inuse: 1910
% 162.49/162.89 Deleted: 2858
% 162.49/162.89 Deletedinuse: 9
% 162.49/162.89
% 162.49/162.89 Resimplifying inuse:
% 162.49/162.89 Done
% 162.49/162.89
% 162.49/162.89 Resimplifying inuse:
% 162.49/162.89 Done
% 162.49/162.89
% 162.49/162.89
% 162.49/162.89 Intermediate Status:
% 162.49/162.89 Generated: 701375
% 162.49/162.89 Kept: 153047
% 162.49/162.89 Inuse: 1935
% 162.49/162.89 Deleted: 2858
% 162.49/162.89 Deletedinuse: 9
% 162.49/162.89
% 162.49/162.89 Resimplifying inuse:
% 162.49/162.89 Done
% 162.49/162.89
% 162.49/162.89
% 162.49/162.89 Intermediate Status:
% 162.49/162.89 Generated: 712081
% 162.49/162.89 Kept: 155492
% 162.49/162.89 Inuse: 1940
% 162.49/162.89 Deleted: 2858
% 162.49/162.89 Deletedinuse: 9
% 162.49/162.89
% 162.49/162.89 Resimplifying inuse:
% 162.49/162.89 Done
% 162.49/162.89
% 162.49/162.89
% 162.49/162.89 Intermediate Status:
% 162.49/162.89 Generated: 722896
% 162.49/162.89 Kept: 157941
% 162.49/162.89 Inuse: 1945
% 162.49/162.89 Deleted: 2858
% 162.49/162.89 Deletedinuse: 9
% 162.49/162.89
% 162.49/162.89 Resimplifying inuse:
% 162.49/162.89 Done
% 162.49/162.89
% 162.49/162.89 Resimplifying inuse:
% 162.49/162.89 Done
% 162.49/162.89
% 162.49/162.89
% 162.49/162.89 Intermediate Status:
% 162.49/162.89 Generated: 732464
% 162.49/162.89 Kept: 160051
% 162.49/162.89 Inuse: 1965
% 162.49/162.89 Deleted: 2858
% 162.49/162.89 Deletedinuse: 9
% 162.49/162.89
% 162.49/162.89 Resimplifying inuse:
% 162.49/162.89 Done
% 162.49/162.89
% 162.49/162.89 Resimplifying inuse:
% 162.49/162.89 Done
% 162.49/162.89
% 162.49/162.89
% 162.49/162.89 Intermediate Status:
% 162.49/162.89 Generated: 742262
% 162.49/162.89 Kept: 162064
% 162.49/162.89 Inuse: 1988
% 162.49/162.89 Deleted: 2858
% 162.49/162.89 Deletedinuse: 9
% 162.49/162.89
% 162.49/162.89 Resimplifying inuse:
% 162.49/162.89 Done
% 162.49/162.89
% 162.49/162.89 Resimplifying clauses:
% 162.49/162.89 Done
% 162.49/162.89
% 162.49/162.89 Resimplifying inuse:
% 162.49/162.89 Done
% 162.49/162.89
% 162.49/162.89
% 162.49/162.89 Intermediate Status:
% 162.49/162.89 Generated: 752544
% 162.49/162.89 Kept: 164079
% 162.49/162.89 Inuse: 2014
% 162.49/162.89 Deleted: 4369
% 162.49/162.89 Deletedinuse: 9
% 162.49/162.89
% 162.49/162.89 Resimplifying inuse:
% 162.49/162.89 Done
% 162.49/162.89
% 162.49/162.89 Resimplifying inuse:
% 162.49/162.89 Done
% 162.49/162.89
% 162.49/162.89
% 162.49/162.89 Intermediate Status:
% 162.49/162.89 Generated: 760210
% 162.49/162.89 Kept: 166307
% 162.49/162.89 Inuse: 2030
% 162.49/162.89 Deleted: 4369
% 162.49/162.89 Deletedinuse: 9
% 162.49/162.89
% 162.49/162.89 Resimplifying inuse:
% 162.49/162.89 Done
% 162.49/162.89
% 162.49/162.89 Resimplifying inuse:
% 162.49/162.89 Done
% 162.49/162.89
% 162.49/162.89
% 162.49/162.89 Intermediate Status:
% 162.49/162.89 Generated: 769996
% 162.49/162.89 Kept: 168515
% 162.49/162.89 Inuse: 2055
% 162.49/162.89 Deleted: 4369
% 162.49/162.89 Deletedinuse: 9
% 162.49/162.89
% 162.49/162.89 Resimplifying inuse:
% 162.49/162.89 Done
% 162.49/162.89
% 162.49/162.89 Resimplifying inuse:
% 162.49/162.89 Done
% 162.49/162.89
% 162.49/162.89
% 162.49/162.89 Intermediate Status:
% 162.49/162.89 Generated: 779287
% 162.49/162.89 Kept: 170529
% 162.49/162.89 Inuse: 2078
% 162.49/162.89 Deleted: 4370
% 162.49/162.89 Deletedinuse: 10
% 162.49/162.89
% 162.49/162.89
% 162.49/162.89 Intermediate Status:
% 162.49/162.89 Generated: 797779
% 162.49/162.89 Kept: 172553
% 162.49/162.89 Inuse: 2080
% 162.49/162.89 Deleted: 4370
% 162.49/162.89 Deletedinuse: 10
% 162.49/162.89
% 162.49/162.89 Resimplifying inuse:
% 162.49/162.89 Done
% 162.49/162.89
% 162.49/162.89 Resimplifying inuse:
% 162.49/162.89 Done
% 162.49/162.89
% 162.49/162.89
% 162.49/162.89 Intermediate Status:
% 162.49/162.89 Generated: 818391
% 162.49/162.89 Kept: 176794
% 162.49/162.89 Inuse: 2105
% 162.49/162.89 Deleted: 4370
% 162.49/162.89 Deletedinuse: 10
% 162.49/162.89
% 162.49/162.89 Resimplifying inuse:
% 162.49/162.89 Done
% 162.49/162.89
% 162.49/162.89
% 162.49/162.89 Intermediate Status:
% 162.49/162.89 Generated: 831058
% 162.49/162.89 Kept: 179332
% 162.49/162.89 Inuse: 2110
% 162.49/162.89 Deleted: 4370
% 162.49/162.89 Deletedinuse: 10
% 162.49/162.89
% 162.49/162.89 Resimplifying inuse:
% 162.49/162.89 Done
% 162.49/162.89
% 162.49/162.89 Resimplifying inuse:
% 162.49/162.89 Done
% 162.49/162.89
% 162.49/162.89
% 162.49/162.89 Intermediate Status:
% 162.49/162.89 Generated: 841230
% 162.49/162.89 Kept: 181333
% 162.49/162.89 Inuse: 2133
% 162.49/162.89 Deleted: 4370
% 162.49/162.89 Deletedinuse: 10
% 162.49/162.89
% 162.49/162.89
% 162.49/162.89 Intermediate Status:
% 162.49/162.89 Generated: 852377
% 162.49/162.89 Kept: 183931
% 162.49/162.89 Inuse: 2135
% 282.85/283.22 Deleted: 4370
% 282.85/283.22 Deletedinuse: 10
% 282.85/283.22
% 282.85/283.22 Resimplifying inuse:
% 282.85/283.22 Done
% 282.85/283.22
% 282.85/283.22 Resimplifying clauses:
% 282.85/283.22 Done
% 282.85/283.22
% 282.85/283.22
% 282.85/283.22 Intermediate Status:
% 282.85/283.22 Generated: 865006
% 282.85/283.22 Kept: 186702
% 282.85/283.22 Inuse: 2140
% 282.85/283.22 Deleted: 4791
% 282.85/283.22 Deletedinuse: 10
% 282.85/283.22
% 282.85/283.22 Resimplifying inuse:
% 282.85/283.22 Done
% 282.85/283.22
% 282.85/283.22
% 282.85/283.22 Intermediate Status:
% 282.85/283.22 Generated: 878021
% 282.85/283.22 Kept: 189471
% 282.85/283.22 Inuse: 2145
% 282.85/283.22 Deleted: 4791
% 282.85/283.22 Deletedinuse: 10
% 282.85/283.22
% 282.85/283.22 Resimplifying inuse:
% 282.85/283.22 Done
% 282.85/283.22
% 282.85/283.22
% 282.85/283.22 Intermediate Status:
% 282.85/283.22 Generated: 890359
% 282.85/283.22 Kept: 192240
% 282.85/283.22 Inuse: 2150
% 282.85/283.22 Deleted: 4791
% 282.85/283.22 Deletedinuse: 10
% 282.85/283.22
% 282.85/283.22 Resimplifying inuse:
% 282.85/283.22 Done
% 282.85/283.22
% 282.85/283.22 Resimplifying inuse:
% 282.85/283.22 Done
% 282.85/283.22
% 282.85/283.22
% 282.85/283.22 Intermediate Status:
% 282.85/283.22 Generated: 902759
% 282.85/283.22 Kept: 194542
% 282.85/283.22 Inuse: 2175
% 282.85/283.22 Deleted: 4791
% 282.85/283.22 Deletedinuse: 10
% 282.85/283.22
% 282.85/283.22 Resimplifying inuse:
% 282.85/283.22 Done
% 282.85/283.22
% 282.85/283.22 Resimplifying inuse:
% 282.85/283.22 Done
% 282.85/283.22
% 282.85/283.22
% 282.85/283.22 Intermediate Status:
% 282.85/283.22 Generated: 910882
% 282.85/283.22 Kept: 196552
% 282.85/283.22 Inuse: 2192
% 282.85/283.22 Deleted: 4791
% 282.85/283.22 Deletedinuse: 10
% 282.85/283.22
% 282.85/283.22 Resimplifying inuse:
% 282.85/283.22 Done
% 282.85/283.22
% 282.85/283.22 Resimplifying inuse:
% 282.85/283.22 Done
% 282.85/283.22
% 282.85/283.22
% 282.85/283.22 Intermediate Status:
% 282.85/283.22 Generated: 920763
% 282.85/283.22 Kept: 199073
% 282.85/283.22 Inuse: 2210
% 282.85/283.22 Deleted: 4791
% 282.85/283.22 Deletedinuse: 10
% 282.85/283.22
% 282.85/283.22 Resimplifying inuse:
% 282.85/283.22 Done
% 282.85/283.22
% 282.85/283.22
% 282.85/283.22 Intermediate Status:
% 282.85/283.22 Generated: 930380
% 282.85/283.22 Kept: 201337
% 282.85/283.22 Inuse: 2225
% 282.85/283.22 Deleted: 4791
% 282.85/283.22 Deletedinuse: 10
% 282.85/283.22
% 282.85/283.22 Resimplifying inuse:
% 282.85/283.22 Done
% 282.85/283.22
% 282.85/283.22 Resimplifying inuse:
% 282.85/283.22 Done
% 282.85/283.22
% 282.85/283.22
% 282.85/283.22 Intermediate Status:
% 282.85/283.22 Generated: 938013
% 282.85/283.22 Kept: 203410
% 282.85/283.22 Inuse: 2240
% 282.85/283.22 Deleted: 4791
% 282.85/283.22 Deletedinuse: 10
% 282.85/283.22
% 282.85/283.22 Resimplifying inuse:
% 282.85/283.22 Done
% 282.85/283.22
% 282.85/283.22 Resimplifying clauses:
% 282.85/283.22 Done
% 282.85/283.22
% 282.85/283.22 Resimplifying inuse:
% 282.85/283.22 Done
% 282.85/283.22
% 282.85/283.22
% 282.85/283.22 Intermediate Status:
% 282.85/283.22 Generated: 946826
% 282.85/283.22 Kept: 205442
% 282.85/283.22 Inuse: 2258
% 282.85/283.22 Deleted: 4993
% 282.85/283.22 Deletedinuse: 10
% 282.85/283.22
% 282.85/283.22
% 282.85/283.22 Intermediate Status:
% 282.85/283.22 Generated: 957087
% 282.85/283.22 Kept: 207844
% 282.85/283.22 Inuse: 2260
% 282.85/283.22 Deleted: 4993
% 282.85/283.22 Deletedinuse: 10
% 282.85/283.22
% 282.85/283.22 Resimplifying inuse:
% 282.85/283.22 Done
% 282.85/283.22
% 282.85/283.22
% 282.85/283.22 Intermediate Status:
% 282.85/283.22 Generated: 968478
% 282.85/283.22 Kept: 210337
% 282.85/283.22 Inuse: 2265
% 282.85/283.22 Deleted: 4993
% 282.85/283.22 Deletedinuse: 10
% 282.85/283.22
% 282.85/283.22 Resimplifying inuse:
% 282.85/283.22 Done
% 282.85/283.22
% 282.85/283.22
% 282.85/283.22 Intermediate Status:
% 282.85/283.22 Generated: 983063
% 282.85/283.22 Kept: 213370
% 282.85/283.22 Inuse: 2275
% 282.85/283.22 Deleted: 4993
% 282.85/283.22 Deletedinuse: 10
% 282.85/283.22
% 282.85/283.22 Resimplifying inuse:
% 282.85/283.22 Done
% 282.85/283.22
% 282.85/283.22 Resimplifying inuse:
% 282.85/283.22 Done
% 282.85/283.22
% 282.85/283.22
% 282.85/283.22 Intermediate Status:
% 282.85/283.22 Generated: 996172
% 282.85/283.22 Kept: 215408
% 282.85/283.22 Inuse: 2297
% 282.85/283.22 Deleted: 4993
% 282.85/283.22 Deletedinuse: 10
% 282.85/283.22
% 282.85/283.22 Resimplifying inuse:
% 282.85/283.22 Done
% 282.85/283.22
% 282.85/283.22 Resimplifying inuse:
% 282.85/283.22 Done
% 282.85/283.22
% 282.85/283.22
% 282.85/283.22 Intermediate Status:
% 282.85/283.22 Generated: 1007931
% 282.85/283.22 Kept: 217476
% 282.85/283.22 Inuse: 2315
% 282.85/283.22 Deleted: 4993
% 282.85/283.22 Deletedinuse: 10
% 282.85/283.22
% 282.85/283.22 Resimplifying inuse:
% 282.85/283.22 Done
% 282.85/283.22
% 282.85/283.22 Resimplifying inuse:
% 282.85/283.22 Done
% 282.85/283.22
% 282.85/283.22
% 282.85/283.22 Intermediate Status:
% 282.85/283.22 Generated: 1018952
% 282.85/283.22 Kept: 220735
% 282.85/283.22 Inuse: 2330
% 282.85/283.22 Deleted: 4993
% 282.85/283.22 Deletedinuse: 10
% 282.85/283.22
% 282.85/283.22 Resimplifying inuse:
% 282.85/283.22 Done
% 282.85/283.22
% 282.85/283.22 Resimplifying inuse:
% 282.85/283.22 Done
% 282.85/283.22
% 282.85/283.22
% 282.85/283.22 Intermediate Status:
% 282.85/283.22 Generated: 1028109
% 282.85/283.22 Kept: 223032
% 282.85/283.22 Inuse: 2345
% 282.85/283.22 Deleted: 4993
% 282.85/283.22 Deletedinuse: 10
% 282.85/283.22
% 282.85/283.22 Resimplifying inuse:
% 282.85/283.22 Done
% 282.85/283.22
% 282.85/283.22
% 282.85/283.22 Intermediate Status:
% 282.85/283.22 Generated: 1044900
% 282.85/283.22 Kept: 226522
% 282.85/283.22 Inuse: 2355
% 282.85/283.22 Deleted: 4993
% 282.85/283.22 Deletedinuse: 10
% 282.85/283.22
% 282.85/283.22 Resimplifying inuse:
% 282.85/283.22 Done
% 282.85/283.22
% 282.85/283.22 Resimplifying clauses:
% 282.85/283.22 Done
% 282.85/283.22
% 282.85/283.22
% 282.85/283.22 Intermediate Status:
% 282.85/283.22 Generated: 1061231
% 282.85/283.22 Kept: 229549
% 282.85/283.22 Inuse: 2360
% 282.85/283.22 Deleted: 5223
% 282.85/283.22 Deletedinuse: 10
% 282.85/283.22
% 282.85/283.22 Resimplifying inuse:
% 282.85/283.22 Done
% 282.85/283.22
% 282.85/283.22 Resimplifying inuse:
% 282.85/283.22 Done
% 282.85/283.22
% 282.85/283.22
% 282.85/283.22 Intermediate Status:
% 282.85/283.22 Generated: 1072187
% 282.85/283.23 Kept: 231732
% 282.85/283.23 Inuse: 2375
% 282.85/283.23 Deleted: 5223
% 282.85/283.23 Deletedinuse: 10
% 282.85/283.23
% 282.85/283.23 Resimplifying inuse:
% 282.85/283.23 Done
% 282.85/283.23
% 282.85/283.23 Resimplifying inuse:
% 282.85/283.23 Done
% 282.85/283.23
% 282.85/283.23
% 282.85/283.23 Intermediate Status:
% 282.85/283.23 Generated: 1101560
% 282.85/283.23 Kept: 237579
% 282.85/283.23 Inuse: 2400
% 282.85/283.23 Deleted: 5223
% 282.85/283.23 Deletedinuse: 10
% 282.85/283.23
% 282.85/283.23 Resimplifying inuse:
% 282.85/283.23 Done
% 282.85/283.23
% 282.85/283.23
% 282.85/283.23 Intermediate Status:
% 282.85/283.23 Generated: 1122283
% 282.85/283.23 Kept: 242028
% 282.85/283.23 Inuse: 2405
% 282.85/283.23 Deleted: 5223
% 282.85/283.23 Deletedinuse: 10
% 282.85/283.23
% 282.85/283.23 Resimplifying inuse:
% 282.85/283.23 Done
% 282.85/283.23
% 282.85/283.23
% 282.85/283.23 Intermediate Status:
% 282.85/283.23 Generated: 1143186
% 282.85/283.23 Kept: 246373
% 282.85/283.23 Inuse: 2410
% 282.85/283.23 Deleted: 5223
% 282.85/283.23 Deletedinuse: 10
% 282.85/283.23
% 282.85/283.23 Resimplifying inuse:
% 282.85/283.23 Done
% 282.85/283.23
% 282.85/283.23 Resimplifying clauses:
% 282.85/283.23 Done
% 282.85/283.23
% 282.85/283.23 Resimplifying inuse:
% 282.85/283.23 Done
% 282.85/283.23
% 282.85/283.23
% 282.85/283.23 Intermediate Status:
% 282.85/283.23 Generated: 1155754
% 282.85/283.23 Kept: 248780
% 282.85/283.23 Inuse: 2440
% 282.85/283.23 Deleted: 5317
% 282.85/283.23 Deletedinuse: 10
% 282.85/283.23
% 282.85/283.23 Resimplifying inuse:
% 282.85/283.23 Done
% 282.85/283.23
% 282.85/283.23 Resimplifying inuse:
% 282.85/283.23 Done
% 282.85/283.23
% 282.85/283.23
% 282.85/283.23 Intermediate Status:
% 282.85/283.23 Generated: 1166316
% 282.85/283.23 Kept: 250838
% 282.85/283.23 Inuse: 2455
% 282.85/283.23 Deleted: 5317
% 282.85/283.23 Deletedinuse: 10
% 282.85/283.23
% 282.85/283.23 Resimplifying inuse:
% 282.85/283.23 Done
% 282.85/283.23
% 282.85/283.23 Resimplifying inuse:
% 282.85/283.23 Done
% 282.85/283.23
% 282.85/283.23
% 282.85/283.23 Intermediate Status:
% 282.85/283.23 GCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------