TSTP Solution File: SWV649-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV649-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n021.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 16:27:27 EDT 2022
% Result : Timeout 300.02s 300.53s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV649-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.35 % Computer : n021.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % DateTime : Tue Jun 14 14:22:13 EDT 2022
% 0.13/0.35 % CPUTime :
% 1.34/1.70 *** allocated 10000 integers for termspace/termends
% 1.34/1.70 *** allocated 10000 integers for clauses
% 1.34/1.70 *** allocated 10000 integers for justifications
% 1.34/1.70 *** allocated 15000 integers for termspace/termends
% 1.34/1.70 *** allocated 22500 integers for termspace/termends
% 1.34/1.70 *** allocated 33750 integers for termspace/termends
% 1.34/1.70 *** allocated 50625 integers for termspace/termends
% 1.34/1.70 Bliksem 1.12
% 1.34/1.70
% 1.34/1.70
% 1.34/1.70 Automatic Strategy Selection
% 1.34/1.70
% 1.34/1.70 Clauses:
% 1.34/1.70 [
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'c_lessequals'(
% 1.34/1.70 hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y
% 1.34/1.70 ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Z ) ), X ) ],
% 1.34/1.70 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( 'c_Suc'
% 1.34/1.70 , X ) ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), X ) ],
% 1.34/1.70 [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z, T ) ) ),
% 1.34/1.70 ~( 'c_Fun_Oinj__on'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.34/1.70 U, 'tc_fun'( Z, 'tc_bool' ) ), Z, T ) ), =( Y, U ) ],
% 1.34/1.70 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_Lim_OLIM'(
% 1.34/1.70 'c_COMBC'( 'c_HOL_Otimes__class_Otimes'( X ), Y, X, X, X ), Z, hAPP( hAPP(
% 1.34/1.70 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ), X, X ) ],
% 1.34/1.70 [ =( 'c_Divides_Odiv__class_Odiv'( X, Y, 'tc_nat' ),
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X
% 1.34/1.70 , Y, 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 1.34/1.70 [ =( 'c_Divides_Odiv__class_Odiv'( X, Y, 'tc_nat' ), hAPP( 'c_Suc',
% 1.34/1.70 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.34/1.70 'tc_nat' ), X ), Y ), Y, 'tc_nat' ) ) ), 'c_HOL_Oord__class_Oless'( X, Y
% 1.34/1.70 , 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.70 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 1.34/1.70 [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 1.34/1.70 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( X, T ) ) ) ],
% 1.34/1.70 [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 1.34/1.70 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ) ],
% 1.34/1.70 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( Z, Y ) ), ~( hBOOL( hAPP(
% 1.34/1.70 'c_Lattices_Oupper__semilattice__class_Osup'( Z, X, 'tc_fun'( T,
% 1.34/1.70 'tc_bool' ) ), Y ) ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.34/1.70 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.34/1.70 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Oabs__class_Oabs'( X
% 1.34/1.70 ), Y ), Z, X ) ) ],
% 1.34/1.70 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 1.34/1.70 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.34/1.70 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 1.34/1.70 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, X ), 'tc_fun'( X,
% 1.34/1.70 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, T, X ) )
% 1.34/1.70 , ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.34/1.70 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =( hAPP(
% 1.34/1.70 'c_HOL_Oabs__class_Oabs'( X ), Y ),
% 1.34/1.70 'c_Lattices_Oupper__semilattice__class_Osup'( Y, hAPP(
% 1.34/1.70 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 1.34/1.70 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( Y,
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( hAPP(
% 1.34/1.70 'c_HOL_Oabs__class_Oabs'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.34/1.70 ) ],
% 1.34/1.70 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.34/1.70 'c_COMBC'( 'c_COMBB'( 'c_HOL_Ominus__class_Ominus'( X ), Y, X, 'tc_fun'(
% 1.34/1.70 X, X ), 'tc_nat' ), Z, 'tc_nat', X, X ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Ominus__class_Ominus'( X ), T ), Z ), X ), ~( 'c_SEQ_OLIMSEQ'( Y,
% 1.34/1.70 T, X ) ) ],
% 1.34/1.70 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 1.34/1.70 'class_RealVector_Oreal__normed__vector'( Y ) ), 'c_Lim_OLIM'( 'c_COMBB'(
% 1.34/1.70 Z, 'c_COMBC'( 'c_HOL_Oplus__class_Oplus'( Y ), T, Y, Y, Y ), Y, X, Y ),
% 1.34/1.70 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( Y ), U ), T ), W, Y, X ), ~(
% 1.34/1.70 'c_Lim_OLIM'( Z, U, W, Y, X ) ) ],
% 1.34/1.70 [ =( 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ), X ), ~(
% 1.34/1.70 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.34/1.70 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ),
% 1.34/1.70 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP(
% 1.34/1.70 'c_HOL_Oabs__class_Oabs'( X ), T ) ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.34/1.70 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), Z, X ) ) ],
% 1.34/1.70 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.34/1.70 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.34/1.70 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.34/1.70 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 1.34/1.70 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.34/1.70 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.34/1.70 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 1.34/1.70 Y, X, 'tc_nat' ), =( Y, X ) ],
% 1.34/1.70 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), 'c_HOL_Oord__class_Oless'( Y, Z,
% 1.34/1.70 'tc_nat' ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ],
% 1.34/1.70 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( Y, Z ), ~(
% 1.34/1.70 'c_Deriv_Oderiv'( T, U, Z, X ) ), ~( 'c_Deriv_Oderiv'( T, U, Y, X ) ) ]
% 1.34/1.70 ,
% 1.34/1.70 [ ~( 'class_RealVector_Ometric__space'( X ) ), =( Y, Z ), ~(
% 1.34/1.70 'c_SEQ_OLIMSEQ'( T, Z, X ) ), ~( 'c_SEQ_OLIMSEQ'( T, Y, X ) ) ],
% 1.34/1.70 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ), =( Y, X ),
% 1.34/1.70 'c_HOL_Oord__class_Oless'( Y, X, 'tc_Int_Oint' ) ],
% 1.34/1.70 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 1.34/1.70 Y, X, 'tc_nat' ), =( Y, X ) ],
% 1.34/1.70 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 1.34/1.70 'class_RealVector_Oreal__normed__algebra__1'( Y ) ), =( Z, T ), ~(
% 1.34/1.70 'c_Lim_OLIM'( U, W, T, Y, X ) ), ~( 'c_Lim_OLIM'( U, W, Z, Y, X ) ) ]
% 1.34/1.70 ,
% 1.34/1.70 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 1.34/1.70 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.34/1.70 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.34/1.70 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 1.34/1.70 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.34/1.70 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.34/1.70 ) ],
% 1.34/1.70 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.34/1.70 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP(
% 1.34/1.70 'c_HOL_Oabs__class_Oabs'( X ), Y ), Z, X ) ) ],
% 1.34/1.70 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.34/1.70 'c_lessequals'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Ominus__class_Ominus'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y
% 1.34/1.70 ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Z ) ) ), hAPP(
% 1.34/1.70 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.34/1.70 X ), Y ), Z ) ), X ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.34/1.70 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.34/1.70 , hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ) ), hAPP(
% 1.34/1.70 'c_HOL_Oabs__class_Oabs'( X ), Z ) ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X ), ~(
% 1.34/1.70 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Z ), U, X
% 1.34/1.70 ) ), ~( 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ),
% 1.34/1.70 Y ), T, X ) ) ],
% 1.34/1.70 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Lim_OLIM'(
% 1.34/1.70 'c_COMBC'( 'c_HOL_Oinverse__class_Odivide'( X ), Y, X, X, X ), Z, hAPP(
% 1.34/1.70 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ), X, X ) ],
% 1.34/1.70 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.34/1.70 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Y, X ), Y ) ],
% 1.34/1.70 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, X, 'tc_fun'( Y,
% 1.34/1.70 'tc_bool' ) ), X ) ],
% 1.34/1.70 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.34/1.70 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 1.34/1.70 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.34/1.70 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.34/1.70 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 1.34/1.70 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.34/1.70 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.34/1.70 'c_lessequals'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y )
% 1.34/1.70 ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Z ) ), X ) ],
% 1.34/1.70 [ =( hAPP( 'c_COMBC'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), Y ) ) ]
% 1.34/1.70 ,
% 1.34/1.70 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.34/1.70 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.34/1.70 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.34/1.70 , X ), 'c_lessequals'( Z, Y, X ) ],
% 1.34/1.70 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 1.34/1.70 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 1.34/1.70 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 1.34/1.70 , X ), 'c_lessequals'( Y, Y, X ) ],
% 1.34/1.70 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.34/1.70 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.34/1.70 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.34/1.70 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 1.34/1.70 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.34/1.70 , X ), 'c_lessequals'( Z, Y, X ) ],
% 1.34/1.70 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.34/1.70 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.34/1.70 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.34/1.70 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ) ), =( Z, T ) ],
% 1.34/1.70 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.34/1.70 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Ominus__class_Ominus'( X ), T ), T ) ) ), =( Y, Z ) ],
% 1.34/1.70 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.34/1.70 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.34/1.70 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 1.34/1.70 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 1.34/1.70 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 1.34/1.70 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.34/1.70 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.34/1.70 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 1.34/1.70 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.34/1.70 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 1.34/1.70 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.34/1.70 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 1.34/1.70 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 1.34/1.70 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 1.34/1.70 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 1.34/1.70 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.34/1.70 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 1.34/1.70 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 1.34/1.70 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 1.34/1.70 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.34/1.70 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T,
% 1.34/1.70 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.34/1.70 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.34/1.70 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.34/1.70 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 1.34/1.70 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 1.34/1.70 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 1.34/1.70 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.34/1.70 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.34/1.70 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 1.34/1.70 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.34/1.70 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 1.34/1.70 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.34/1.70 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ), 'tc_nat' ),
% 1.34/1.70 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ),
% 1.34/1.70 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.34/1.70 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.34/1.70 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), ~(
% 1.34/1.70 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), ~(
% 1.34/1.70 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.34/1.70 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), hAPP( hAPP(
% 1.34/1.70 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~(
% 1.34/1.70 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 1.34/1.70 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 1.34/1.70 , Y, X ) ) ],
% 1.34/1.70 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Z ) ), Y ) ) ],
% 1.34/1.70 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.34/1.70 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'(
% 1.34/1.70 'tc_nat' ) ), 'tc_nat' ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'( X,
% 1.34/1.70 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.70 'tc_nat' ), X, 'tc_nat' ) ) ],
% 1.34/1.70 [ 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ),
% 1.34/1.70 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.34/1.70 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'(
% 1.34/1.70 'tc_nat' ) ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP( hAPP(
% 1.34/1.70 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.34/1.70 , Y ) ), Z ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ) )
% 1.34/1.70 , ~( 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 1.34/1.70 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.34/1.70 'tc_nat' ), 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.34/1.70 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X )
% 1.34/1.70 , Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.34/1.70 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.34/1.70 X ), T ), Y ) ), Z, X ) ) ],
% 1.34/1.70 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP(
% 1.34/1.70 'c_HOL_Oabs__class_Oabs'( X ), Y ), Y ), ~( 'c_HOL_Oord__class_Oless'(
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.34/1.70 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OMin',
% 1.34/1.70 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Int_OMin',
% 1.34/1.70 'tc_Int_Oint' ) ) ],
% 1.34/1.70 [ 'c_HOL_Oord__class_Oless'( X, 'c_Int_OMin', 'tc_Int_Oint' ), ~(
% 1.34/1.70 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OMin',
% 1.34/1.70 'tc_Int_Oint' ) ) ],
% 1.34/1.70 [ =( 'c_Divides_Odiv__class_Odiv'( X, Y, 'tc_nat' ),
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X
% 1.34/1.70 , Y, 'tc_nat' ) ) ],
% 1.34/1.70 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.34/1.70 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 1.34/1.70 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 1.34/1.70 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 1.34/1.70 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X,
% 1.34/1.70 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.34/1.70 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.34/1.70 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 1.34/1.70 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 1.34/1.70 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Lim_OLIM'(
% 1.34/1.70 'c_COMBS'( 'c_COMBB'( 'c_HOL_Oinverse__class_Odivide'( X ), 'c_COMBC'(
% 1.34/1.70 'c_COMBB'( 'c_HOL_Ominus__class_Ominus'( X ), Y, X, 'tc_fun'( X, X ), X )
% 1.34/1.70 , hAPP( Y, Z ), X, X, X ), X, 'tc_fun'( X, X ), X ), 'c_COMBC'(
% 1.34/1.70 'c_HOL_Ominus__class_Ominus'( X ), Z, X, X, X ), X, X, X ), Z, T, X, X )
% 1.34/1.70 , ~( 'c_Deriv_Oderiv'( Y, Z, T, X ) ) ],
% 1.34/1.70 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'( Y
% 1.34/1.70 , Z, T, X ), ~( 'c_Lim_OLIM'( 'c_COMBS'( 'c_COMBB'(
% 1.34/1.70 'c_HOL_Oinverse__class_Odivide'( X ), 'c_COMBC'( 'c_COMBB'(
% 1.34/1.70 'c_HOL_Ominus__class_Ominus'( X ), Y, X, 'tc_fun'( X, X ), X ), hAPP( Y,
% 1.34/1.70 Z ), X, X, X ), X, 'tc_fun'( X, X ), X ), 'c_COMBC'(
% 1.34/1.70 'c_HOL_Ominus__class_Ominus'( X ), Z, X, X, X ), X, X, X ), Z, T, X, X )
% 1.34/1.70 ) ],
% 1.34/1.70 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.34/1.70 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.34/1.70 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 1.34/1.70 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 1.34/1.70 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 1.34/1.70 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 1.34/1.70 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 1.34/1.70 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 1.34/1.70 'tc_bool' ) ) ) ],
% 1.34/1.70 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.34/1.70 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.34/1.70 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 1.34/1.70 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.34/1.70 'class_Int_Onumber__ring'( X ) ), =( hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.34/1.70 , hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ),
% 1.34/1.70 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ) ), Y ) ),
% 1.34/1.70 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.34/1.70 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.34/1.70 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), ~(
% 1.34/1.70 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.34/1.70 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X,
% 1.34/1.70 'c_Lattices_Oupper__semilattice__class_Osup'( Y, U, 'tc_fun'( Z,
% 1.34/1.70 'tc_bool' ) ), Z, T ) ) ],
% 1.34/1.70 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X,
% 1.34/1.70 'c_Lattices_Oupper__semilattice__class_Osup'( U, Y, 'tc_fun'( Z,
% 1.34/1.70 'tc_bool' ) ), Z, T ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.34/1.70 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP(
% 1.34/1.70 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T, X ), ~(
% 1.34/1.70 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.34/1.70 , Z ), T ), X ) ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.34/1.70 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ), Y, X ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.34/1.70 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~(
% 1.34/1.70 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Z, X ) ), ~(
% 1.34/1.70 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.34/1.70 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.34/1.70 'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 1.34/1.70 ],
% 1.34/1.70 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.34/1.70 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.34/1.70 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 1.34/1.70 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 1.34/1.70 ,
% 1.34/1.70 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.34/1.70 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.34/1.70 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 1.34/1.70 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ]
% 1.34/1.70 ,
% 1.34/1.70 [ ~( =( 'c_Divides_Odiv__class_Omod'( X,
% 1.34/1.70 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit0'(
% 1.34/1.70 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat' ), 'tc_nat' ),
% 1.34/1.70 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.34/1.70 'c_Int_OPls' ) ), 'tc_nat' ) ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'(
% 1.34/1.70 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.34/1.70 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ),
% 1.34/1.70 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.70 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ), 'tc_nat' ) ) ],
% 1.34/1.70 [ ~( =( 'c_Divides_Odiv__class_Omod'( X,
% 1.34/1.70 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit0'(
% 1.34/1.70 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat' ), 'tc_nat' ),
% 1.34/1.70 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ),
% 1.34/1.70 'c_Parity_Oeven__odd__class_Oeven'( 'c_Divides_Odiv__class_Odiv'( hAPP(
% 1.34/1.70 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ),
% 1.34/1.70 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ),
% 1.34/1.70 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.70 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ), 'tc_nat' ) ],
% 1.34/1.70 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~( =(
% 1.34/1.70 hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.34/1.70 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.34/1.70 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.34/1.70 'c_Divides_Odiv__class_Omod'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.34/1.70 ) ],
% 1.34/1.70 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.34/1.70 'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.34/1.70 ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 1.34/1.70 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.34/1.70 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.34/1.70 'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.34/1.70 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.34/1.70 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.34/1.70 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.34/1.70 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.70 X ) ) ],
% 1.34/1.70 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.34/1.70 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.70 X ) ) ],
% 1.34/1.70 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.34/1.70 'c_HOL_Ominus__class_Ominus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.34/1.70 , Y ) ],
% 1.34/1.70 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.34/1.70 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.70 X ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.34/1.70 X ) ), =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ),
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.34/1.70 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.34/1.70 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.34/1.70 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP(
% 1.34/1.70 'c_HOL_Oabs__class_Oabs'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.34/1.70 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.34/1.70 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.70 X ) ) ), =( Y, Z ) ],
% 1.34/1.70 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP( hAPP(
% 1.34/1.70 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.70 X ) ) ), =( Y, Z ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.34/1.70 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ),
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.34/1.70 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.34/1.70 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X )
% 1.34/1.70 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) )
% 1.34/1.70 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.34/1.70 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 1.34/1.70 ,
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.34/1.70 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.34/1.70 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X )
% 1.34/1.70 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.34/1.70 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.34/1.70 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ]
% 1.34/1.70 ,
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP( hAPP(
% 1.34/1.70 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y
% 1.34/1.70 ) ), Z ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ), ~( 'c_lessequals'(
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.34/1.70 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), Y, X ), ~(
% 1.34/1.70 'c_lessequals'( Z, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.34/1.70 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.34/1.70 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.34/1.70 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), Z, X ), ~(
% 1.34/1.70 'c_lessequals'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.34/1.70 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.34/1.70 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.34/1.70 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.34/1.70 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X )
% 1.34/1.70 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.34/1.70 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.34/1.70 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.34/1.70 T, X ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =( hAPP(
% 1.34/1.70 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.70 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.34/1.70 'c_HOL_Oabs__class_Oabs'( X ), Y ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.34/1.70 , Z ) ) ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.34/1.70 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =( hAPP(
% 1.34/1.70 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.70 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.34/1.70 'c_HOL_Oabs__class_Oabs'( X ), Y ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.34/1.70 , Z ) ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.34/1.70 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =( hAPP(
% 1.34/1.70 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.70 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.34/1.70 'c_HOL_Oabs__class_Oabs'( X ), Y ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.34/1.70 , Z ) ) ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.34/1.70 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =( hAPP(
% 1.34/1.70 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.70 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.34/1.70 'c_HOL_Oabs__class_Oabs'( X ), Y ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.34/1.70 , Z ) ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.34/1.70 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.34/1.70 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.34/1.70 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.34/1.70 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.34/1.70 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 1.34/1.70 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.34/1.70 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 1.34/1.70 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.34/1.70 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.34/1.70 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.34/1.70 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X )
% 1.34/1.70 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.34/1.70 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.34/1.70 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.34/1.70 T, X ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.34/1.70 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.34/1.70 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.34/1.70 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.34/1.70 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.34/1.70 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.34/1.70 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), ~(
% 1.34/1.70 'c_lessequals'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.34/1.70 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.34/1.70 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ), ~(
% 1.34/1.70 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 1.34/1.70 ,
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.34/1.70 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.34/1.70 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), ~(
% 1.34/1.70 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.34/1.70 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.34/1.70 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ) ), ~(
% 1.34/1.70 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.34/1.70 ,
% 1.34/1.70 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.34/1.70 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 1.34/1.70 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.34/1.70 , Z ), T ), X ), ~( 'c_lessequals'( Y, T, X ) ), ~(
% 1.34/1.70 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 1.34/1.70 ,
% 1.34/1.70 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.34/1.70 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.34/1.70 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.34/1.70 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~(
% 1.34/1.70 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.34/1.70 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.34/1.70 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.34/1.70 'c_HOL_Oone__class_Oone'( X ) ), X ) ],
% 1.34/1.70 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.34/1.70 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.34/1.70 ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.34/1.70 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.34/1.70 ), =( Z, Y ) ],
% 1.34/1.70 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP(
% 1.34/1.70 'c_HOL_Oabs__class_Oabs'( X ), Y ), Y ), ~( 'c_lessequals'(
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.34/1.70 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ), hAPP( hAPP(
% 1.34/1.70 'c_Power_Opower__class_Opower'( X ), T ), Z ), X ), ~( 'c_lessequals'(
% 1.34/1.70 hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ), hAPP( 'c_HOL_Oabs__class_Oabs'(
% 1.34/1.70 X ), T ), X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ]
% 1.34/1.70 ,
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.34/1.70 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.34/1.70 , Y ), 'c_HOL_Oone__class_Oone'( X ) ), X ) ],
% 1.34/1.70 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 1.34/1.70 'class_Power_Opower'( X ) ), 'c_SEQ_OLIMSEQ'( 'c_COMBC'( 'c_COMBB'(
% 1.34/1.70 'c_Power_Opower__class_Opower'( X ), Y, X, 'tc_fun'( 'tc_nat', X ),
% 1.34/1.70 'tc_nat' ), Z, 'tc_nat', 'tc_nat', X ), hAPP( hAPP(
% 1.34/1.70 'c_Power_Opower__class_Opower'( X ), T ), Z ), X ), ~( 'c_SEQ_OLIMSEQ'( Y
% 1.34/1.70 , T, X ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.34/1.70 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ), Z, X
% 1.34/1.70 ), ~( 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.34/1.70 ), Y ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.34/1.70 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.34/1.70 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z, X ),
% 1.34/1.70 ~( 'c_lessequals'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ), Z, X ) ) ]
% 1.34/1.70 ,
% 1.34/1.70 [ =( 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ),
% 1.34/1.70 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.34/1.70 'tc_nat' ), X ), Y ), Y, 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'( X, Y,
% 1.34/1.70 'tc_nat' ) ],
% 1.34/1.70 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.34/1.70 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.34/1.70 T, X ), Z, X ) ) ],
% 1.34/1.70 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.34/1.70 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T,
% 1.34/1.70 Y, X ), Z, X ) ) ],
% 1.34/1.70 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 1.34/1.70 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 1.34/1.70 'c_lessequals'( Y, Z, X ) ) ],
% 1.34/1.70 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 1.34/1.70 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 1.34/1.70 'c_lessequals'( Y, T, X ) ) ],
% 1.34/1.70 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.34/1.70 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.34/1.70 T, X ), Z, X ) ) ],
% 1.34/1.70 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.34/1.70 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T,
% 1.34/1.70 Y, X ), Z, X ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.34/1.70 'class_Int_Onumber__ring'( X ) ), =( hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.34/1.70 , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ) ),
% 1.34/1.70 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.34/1.70 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.34/1.70 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( Z, T, U, Y, X ),
% 1.34/1.70 ~( 'c_Lim_OLIM'( 'c_COMBC'( 'c_COMBB'( 'c_HOL_Ominus__class_Ominus'( X )
% 1.34/1.70 , Z, X, 'tc_fun'( X, X ), Y ), U, Y, X, X ), T,
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.34/1.70 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.34/1.70 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBC'(
% 1.34/1.70 'c_COMBB'( 'c_HOL_Ominus__class_Ominus'( X ), Z, X, 'tc_fun'( X, X ), Y )
% 1.34/1.70 , T, Y, X, X ), U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.34/1.70 'c_Lim_OLIM'( Z, U, T, Y, X ) ) ],
% 1.34/1.70 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.34/1.70 'c_Power_Opower__class_Opower'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.34/1.70 'c_Int_OMin', X ) ), Y ), 'c_HOL_Oone__class_Oone'( X ) ), ~(
% 1.34/1.70 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.34/1.70 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ), hAPP( hAPP(
% 1.34/1.70 'c_Power_Opower__class_Opower'( X ), T ), Z ), X ), ~( 'c_lessequals'( Y
% 1.34/1.70 , T, X ) ), 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.34/1.70 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.34/1.70 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ), 'tc_nat'
% 1.34/1.70 ), ~( 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ) ],
% 1.34/1.70 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.34/1.70 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP(
% 1.34/1.70 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), X ), 'tc_nat' ) ) ]
% 1.34/1.70 ,
% 1.34/1.70 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.34/1.70 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ),
% 1.34/1.70 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( T, U
% 1.34/1.70 , X ) ) ],
% 1.34/1.70 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.34/1.70 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ),
% 1.34/1.70 'c_HOL_Oord__class_Oless'( T, U, X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 1.34/1.70 , X ) ) ],
% 1.34/1.70 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.34/1.70 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), 'c_lessequals'( Z, Y, X
% 1.34/1.70 ), ~( 'c_lessequals'( U, T, X ) ) ],
% 1.34/1.70 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.34/1.70 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), 'c_lessequals'( U, T, X
% 1.34/1.70 ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.34/1.70 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.34/1.70 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.34/1.70 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 1.34/1.70 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.34/1.70 ,
% 1.34/1.70 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.34/1.70 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.34/1.70 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.34/1.70 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 1.34/1.70 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 1.34/1.70 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 1.34/1.70 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.34/1.70 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.34/1.70 ,
% 1.34/1.70 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.34/1.70 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 1.34/1.70 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.34/1.70 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.34/1.70 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.34/1.70 'c_lessequals'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), hAPP(
% 1.34/1.70 'c_HOL_Oabs__class_Oabs'( X ), Y ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.34/1.70 , Z ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), X ) ],
% 1.34/1.70 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 1.34/1.70 'c_HOL_Oord__class_Oless'( Y,
% 1.34/1.70 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 1.34/1.70 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.34/1.70 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 1.34/1.70 'c_HOL_Oord__class_Oless'( Y,
% 1.34/1.70 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 1.34/1.70 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.34/1.70 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP(
% 1.34/1.70 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.34/1.70 X ), Y ), Z ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Ominus__class_Ominus'( X ), Z ), Y ) ) ) ],
% 1.34/1.70 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Oone__class_Oone'(
% 1.34/1.70 'tc_nat' ), 'tc_nat' ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP(
% 1.34/1.70 'c_HOL_Oabs__class_Oabs'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.34/1.70 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.34/1.70 [ =( 'c_FFT__Mirabelle_Oroot'( 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ),
% 1.34/1.70 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ) ) ],
% 1.34/1.70 [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP(
% 1.34/1.70 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), Z, 'tc_nat' ), hAPP(
% 1.34/1.70 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_Divides_Odiv__class_Odiv'( X,
% 1.34/1.70 Z, 'tc_nat' ) ), 'c_Divides_Odiv__class_Odiv'( Y, Z, 'tc_nat' ) ) ),
% 1.34/1.70 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.34/1.70 'tc_nat' ), 'c_Divides_Odiv__class_Omod'( X, Z, 'tc_nat' ) ),
% 1.34/1.70 'c_Divides_Odiv__class_Omod'( Y, Z, 'tc_nat' ) ), Z, 'tc_nat' ) ) ) ]
% 1.34/1.70 ,
% 1.34/1.70 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), hAPP(
% 1.34/1.70 'c_Suc', Y ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ),
% 1.34/1.70 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ),
% 1.34/1.70 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ), Y ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.34/1.70 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.34/1.70 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.34/1.70 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~(
% 1.34/1.70 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_Int_Oint' ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.34/1.70 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z,
% 1.34/1.70 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.34/1.70 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.34/1.70 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ],
% 1.34/1.70 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ), ~(
% 1.34/1.70 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( X,
% 1.34/1.70 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' )
% 1.34/1.70 ) ],
% 1.34/1.70 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), hAPP( hAPP( Y, U ), T ) )
% 1.34/1.70 , hAPP( hAPP( Y, hAPP( hAPP( X, Z ), U ) ), T ) ), ~(
% 1.34/1.70 'c_Groebner__Basis_Ogb__semiring'( X, Y, W, V0, V1, V2 ) ) ],
% 1.34/1.70 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), T ), hAPP( hAPP( Y, hAPP(
% 1.34/1.70 hAPP( X, Z ), U ) ), T ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, Y, W
% 1.34/1.70 , V0, U, V1 ) ) ],
% 1.34/1.70 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), Y ) ), hAPP( hAPP( Z, hAPP(
% 1.34/1.70 hAPP( X, T ), U ) ), Y ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, Z, W
% 1.34/1.70 , V0, U, V1 ) ) ],
% 1.34/1.70 [ =( hAPP( hAPP( X, Y ), Y ), hAPP( hAPP( Z, hAPP( hAPP( X, T ), T ) ),
% 1.34/1.70 Y ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, Z, U, W, T, V0 ) ) ],
% 1.34/1.70 [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 1.34/1.70 X, T, U, Y, W, V0 ) ) ],
% 1.34/1.70 [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 1.34/1.70 X, T, U, Z, W, V0 ) ) ],
% 1.34/1.70 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~(
% 1.34/1.70 'c_Groebner__Basis_Ogb__semiring'( T, X, U, W, V0, V1 ) ) ],
% 1.34/1.70 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ), hAPP( hAPP( Y, hAPP(
% 1.34/1.70 hAPP( X, Z ), U ) ), hAPP( hAPP( X, T ), U ) ) ), ~(
% 1.34/1.70 'c_Groebner__Basis_Ogb__semiring'( Y, X, W, V0, V1, V2 ) ) ],
% 1.34/1.70 [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 1.34/1.70 T, X, U, Y, W, V0 ) ) ],
% 1.34/1.70 [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 1.34/1.70 T, X, U, Z, W, V0 ) ) ],
% 1.34/1.70 [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 1.34/1.70 T, X, U, W, Y, V0 ) ) ],
% 1.34/1.70 [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 1.34/1.70 T, X, U, W, Z, V0 ) ) ],
% 1.34/1.70 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, T ), U ) )
% 1.34/1.70 , hAPP( hAPP( X, hAPP( hAPP( X, Y ), T ) ), hAPP( hAPP( X, Z ), U ) ) ),
% 1.34/1.70 ~( 'c_Groebner__Basis_Ogb__semiring'( W, X, V0, V1, V2, V3 ) ) ],
% 1.34/1.70 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, T ), U ) )
% 1.34/1.70 , hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), hAPP( hAPP( X, T ), U ) ) ) ),
% 1.34/1.70 ~( 'c_Groebner__Basis_Ogb__semiring'( W, X, V0, V1, V2, V3 ) ) ],
% 1.34/1.70 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, T ), U ) )
% 1.34/1.70 , hAPP( hAPP( X, T ), hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), U ) ) ),
% 1.34/1.70 ~( 'c_Groebner__Basis_Ogb__semiring'( W, X, V0, V1, V2, V3 ) ) ],
% 1.34/1.70 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, hAPP(
% 1.34/1.70 hAPP( X, Y ), T ) ), Z ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, W
% 1.34/1.70 , V0, V1, V2 ) ) ],
% 1.34/1.70 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ),
% 1.34/1.70 hAPP( hAPP( X, Z ), T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X,
% 1.34/1.70 W, V0, V1, V2 ) ) ],
% 1.34/1.70 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, hAPP(
% 1.34/1.70 hAPP( X, Y ), Z ) ), T ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, W
% 1.34/1.70 , V0, V1, V2 ) ) ],
% 1.34/1.70 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, Z ),
% 1.34/1.70 hAPP( hAPP( X, Y ), T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X,
% 1.34/1.70 W, V0, V1, V2 ) ) ],
% 1.34/1.70 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, T ), U ) )
% 1.34/1.70 , hAPP( hAPP( X, hAPP( hAPP( X, Y ), T ) ), hAPP( hAPP( X, Z ), U ) ) ),
% 1.34/1.70 ~( 'c_Groebner__Basis_Ogb__semiring'( X, W, V0, V1, V2, V3 ) ) ],
% 1.34/1.70 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ),
% 1.34/1.70 hAPP( hAPP( X, Z ), T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, U,
% 1.34/1.70 W, V0, V1, V2 ) ) ],
% 1.34/1.70 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, Z ),
% 1.34/1.70 hAPP( hAPP( X, Y ), T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, U,
% 1.34/1.70 W, V0, V1, V2 ) ) ],
% 1.34/1.70 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, hAPP(
% 1.34/1.70 hAPP( X, Y ), T ) ), Z ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, U, W
% 1.34/1.70 , V0, V1, V2 ) ) ],
% 1.34/1.70 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~(
% 1.34/1.70 'c_Groebner__Basis_Ogb__semiring'( X, T, U, W, V0, V1 ) ) ],
% 1.34/1.70 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, hAPP(
% 1.34/1.70 hAPP( X, Y ), Z ) ), T ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, U, W
% 1.34/1.70 , V0, V1, V2 ) ) ],
% 1.34/1.70 [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 1.34/1.70 X, T, U, Y, W, V0 ) ) ],
% 1.34/1.70 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, hAPP(
% 1.34/1.70 hAPP( X, Y ), Z ) ), T ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( X, U, W
% 1.34/1.70 , V0, V1, V2 ) ) ],
% 1.34/1.70 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~(
% 1.34/1.70 'c_Groebner__Basis_Ogb__semiring'( X, T, U, W, V0, V1 ) ) ],
% 1.34/1.70 [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 1.34/1.70 T, X, U, Y, W, V0 ) ) ],
% 1.34/1.70 [ =( hAPP( hAPP( X, Y ), Z ), Z ), ~( 'c_Groebner__Basis_Ogb__semiring'(
% 1.34/1.70 T, X, U, W, Y, V0 ) ) ],
% 1.34/1.70 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, hAPP(
% 1.34/1.70 hAPP( X, Y ), Z ) ), T ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, W
% 1.34/1.70 , V0, V1, V2 ) ) ],
% 1.34/1.70 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~(
% 1.34/1.70 'c_Groebner__Basis_Ogb__semiring'( T, X, U, W, V0, V1 ) ) ],
% 1.34/1.70 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), U ) ), hAPP( hAPP( Z, hAPP(
% 1.34/1.70 hAPP( X, Y ), T ) ), hAPP( hAPP( X, Y ), U ) ) ), ~(
% 1.34/1.70 'c_Groebner__Basis_Ogb__semiring'( Z, X, W, V0, V1, V2 ) ) ],
% 1.34/1.70 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ), hAPP( hAPP( Y, hAPP(
% 1.34/1.70 hAPP( X, Z ), U ) ), hAPP( hAPP( X, T ), U ) ) ), ~(
% 1.34/1.70 'c_Groebner__Basis_Ogb__semiring'( W, Y, X, V0, V1, V2 ) ) ],
% 1.34/1.70 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 1.34/1.70 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), T, X ),
% 1.34/1.70 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X
% 1.34/1.70 ), 'c_Divides_Odiv__class_Omod'( Y, T, X ) ),
% 1.34/1.70 'c_Divides_Odiv__class_Omod'( Z, T, X ) ), T, X ) ) ],
% 1.34/1.70 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.34/1.70 'c_lessequals'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ), Z, X ), ~(
% 1.34/1.70 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z, X ) )
% 1.34/1.70 , ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.34/1.70 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.34/1.70 'c_lessequals'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ), Z, X ), ~(
% 1.34/1.70 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z, X ) )
% 1.34/1.70 , ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.34/1.70 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.34/1.70 'c_lessequals'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ),
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ]
% 1.34/1.70 ,
% 1.34/1.70 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y,
% 1.34/1.70 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 1.34/1.70 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y,
% 1.34/1.70 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 1.34/1.70 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 1.34/1.70 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 1.34/1.70 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.34/1.70 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 1.34/1.70 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 1.34/1.70 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 1.34/1.70 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 1.34/1.70 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 1.34/1.70 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 1.34/1.70 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.34/1.70 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 1.34/1.70 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 1.34/1.70 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.34/1.70 [ 'c_HOL_Oord__class_Oless'( 'c_Divides_Odiv__class_Omod'( X, Y,
% 1.34/1.70 'tc_nat' ), Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 1.34/1.70 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 1.34/1.70 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), T, X ),
% 1.34/1.70 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X
% 1.34/1.70 ), 'c_Divides_Odiv__class_Omod'( Y, T, X ) ), Z ), T, X ) ) ],
% 1.34/1.70 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 1.34/1.70 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), T, X ),
% 1.34/1.70 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X
% 1.34/1.70 ), Y ), 'c_Divides_Odiv__class_Omod'( Z, T, X ) ), T, X ) ) ],
% 1.34/1.70 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.34/1.70 'tc_nat' ), X ), Y ), hAPP( 'c_Suc', X ), 'tc_nat' ) ],
% 1.34/1.70 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.34/1.70 'c_Divides_Odiv__class_Omod'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), Z
% 1.34/1.70 , X ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 1.34/1.70 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.34/1.70 'c_Divides_Odiv__class_Odiv'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 1.34/1.70 , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.34/1.70 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OMin', 'c_Int_OPls', 'tc_Int_Oint' )
% 1.34/1.70 ],
% 1.34/1.70 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.34/1.70 'c_lessequals'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.34/1.70 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) )
% 1.34/1.70 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.34/1.70 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.34/1.70 X ), Y ), T ) ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Ominus__class_Ominus'( X ), Z ), U ) ) ), X ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.34/1.70 'c_HOL_Oone__class_Oone'( X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'(
% 1.34/1.70 X ), Y ), Z ), X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y,
% 1.34/1.70 X ) ) ],
% 1.34/1.70 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.34/1.70 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.34/1.70 , Y ), Z ), Z, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.34/1.70 'c_Divides_Odiv__class_Odiv'( Y, Z, X ) ), 'c_HOL_Oone__class_Oone'( X )
% 1.34/1.70 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.34/1.70 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.34/1.70 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.34/1.70 , Y ), Z ), Y, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.34/1.70 'c_Divides_Odiv__class_Odiv'( Z, Y, X ) ), 'c_HOL_Oone__class_Oone'( X )
% 1.34/1.70 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.34/1.70 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.34/1.70 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.34/1.70 ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.34/1.70 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.34/1.70 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.34/1.70 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.34/1.70 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.34/1.70 ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.34/1.70 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.34/1.70 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.34/1.70 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), 'c_HOL_Oone__class_Oone'(
% 1.34/1.70 'tc_nat' ) ), Y ) ],
% 1.34/1.70 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.34/1.70 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 1.34/1.70 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.34/1.70 , Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 1.34/1.70 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.34/1.70 [ =( 'c_Set_Oimage'( X, 'c_Set_Oimage'( Y, Z, T, U ), U, W ),
% 1.34/1.70 'c_Set_Oimage'( 'c_COMBB'( X, Y, U, W, T ), Z, T, W ) ) ],
% 1.34/1.70 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 1.34/1.70 'class_RealVector_Ometric__space'( Y ) ), ~(
% 1.34/1.70 'class_RealVector_Ometric__space'( Z ) ), 'c_Lim_OLIM'( 'c_COMBB'( T, U,
% 1.34/1.70 X, Y, Z ), W, hAPP( T, V0 ), Z, Y ), ~( 'c_Lim_OLIM'( U, W, V0, Z, X ) )
% 1.34/1.70 , ~( 'c_Lim_OLIM'( T, V0, hAPP( T, V0 ), X, Y ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.34/1.70 'class_Int_Onumber__ring'( X ) ), =( hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.34/1.70 , 'c_Int_Onumber__class_Onumber__of'( Y, X ) ),
% 1.34/1.70 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), 'c_HOL_Oord__class_Oless'(
% 1.34/1.70 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.34/1.70 ), X ) ],
% 1.34/1.70 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.34/1.70 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.34/1.70 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X
% 1.34/1.70 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.34/1.70 'c_Divides_Odiv__class_Omod'( Y, T, X ) ), Z ) ) ],
% 1.34/1.70 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.34/1.70 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.34/1.70 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X
% 1.34/1.70 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.34/1.70 'c_Divides_Odiv__class_Omod'( Z, T, X ) ) ) ],
% 1.34/1.70 [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 1.34/1.70 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 1.34/1.70 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 1.34/1.70 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 1.34/1.70 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.34/1.70 ), U ), Y ), Z, X ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 1.34/1.70 'c_HOL_Otimes__class_Otimes'( X ), W ), T ), Z, X ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP( hAPP(
% 1.34/1.70 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y
% 1.34/1.70 ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ) ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ) ],
% 1.34/1.70 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.34/1.70 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.34/1.70 ), Y ), Z ), T, X ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 1.34/1.70 'c_HOL_Otimes__class_Otimes'( X ), 'c_Divides_Odiv__class_Omod'( Y, T, X
% 1.34/1.70 ) ), 'c_Divides_Odiv__class_Omod'( Z, T, X ) ), T, X ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.34/1.70 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.34/1.70 ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.34/1.70 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.34/1.70 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.34/1.70 ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.34/1.70 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP(
% 1.34/1.70 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.70 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.34/1.70 'c_HOL_Oabs__class_Oabs'( X ), Y ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.34/1.70 , Z ) ) ) ],
% 1.34/1.70 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_Lim_OLIM'(
% 1.34/1.70 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z, hAPP( hAPP(
% 1.34/1.70 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X, X ) ],
% 1.34/1.70 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.34/1.70 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.34/1.70 ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ), T ), Z, X ),
% 1.34/1.70 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.34/1.70 ), Y ), T ), Z, X ) ) ],
% 1.34/1.70 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.34/1.70 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.34/1.70 Y ) ],
% 1.34/1.70 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.34/1.70 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ),
% 1.34/1.70 Y ) ],
% 1.34/1.70 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =( hAPP( hAPP(
% 1.34/1.70 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ),
% 1.34/1.70 Y ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.34/1.70 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ),
% 1.34/1.70 Y ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.34/1.70 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.34/1.70 Y ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.34/1.70 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ),
% 1.34/1.70 Y ) ],
% 1.34/1.70 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.34/1.70 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ],
% 1.34/1.70 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.34/1.70 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ],
% 1.34/1.70 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.34/1.70 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.34/1.70 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.34/1.70 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.34/1.70 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.34/1.70 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.34/1.70 ), Y ), Z ), T, X ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 1.34/1.70 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_Divides_Odiv__class_Omod'( Z,
% 1.34/1.70 T, X ) ), T, X ) ) ],
% 1.34/1.70 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.34/1.70 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.34/1.70 ), Y ), Z ), T, X ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 1.34/1.70 'c_HOL_Otimes__class_Otimes'( X ), 'c_Divides_Odiv__class_Omod'( Y, T, X
% 1.34/1.70 ) ), Z ), T, X ) ) ],
% 1.34/1.70 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'(
% 1.34/1.70 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z, Y, X ) ],
% 1.34/1.70 [ ~( 'class_Divides_Osemiring__div'( X ) ), =( hAPP( hAPP(
% 1.34/1.70 'c_HOL_Oplus__class_Oplus'( X ), 'c_Divides_Odiv__class_Omod'( Y, Z, X )
% 1.34/1.70 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.34/1.70 'c_Divides_Odiv__class_Odiv'( Y, Z, X ) ), Z ) ), Y ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.34/1.70 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.34/1.70 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP(
% 1.34/1.70 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ), X ), ~(
% 1.34/1.70 'c_HOL_Oord__class_Oless'( T, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.34/1.70 , hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Ominus__class_Ominus'( X ), U ), Y ) ), Z ) ), W ), X ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.34/1.70 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.34/1.70 , hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), U ) ), W ), X ), ~(
% 1.34/1.70 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.34/1.70 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), Y ), hAPP(
% 1.34/1.70 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ), W ), X ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.34/1.70 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.34/1.70 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP(
% 1.34/1.70 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ), X ), ~(
% 1.34/1.70 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.34/1.70 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Ominus__class_Ominus'( X ), Y ), U ) ), Z ) ), T ), W, X ) ) ]
% 1.34/1.70 ,
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.34/1.70 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.34/1.70 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ) ), U ), W, X ), ~(
% 1.34/1.70 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.34/1.70 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), U ), hAPP(
% 1.34/1.70 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), W ), X ) ) ],
% 1.34/1.70 [ ~( 'class_Divides_Osemiring__div'( X ) ), =( hAPP( hAPP(
% 1.34/1.70 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.34/1.70 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.34/1.70 'c_Divides_Odiv__class_Odiv'( Z, Y, X ) ) ), 'c_Divides_Odiv__class_Omod'(
% 1.34/1.70 Z, Y, X ) ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T )
% 1.34/1.70 ) ],
% 1.34/1.70 [ ~( 'class_Divides_Osemiring__div'( X ) ), =( hAPP( hAPP(
% 1.34/1.70 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.34/1.70 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.34/1.70 'c_Divides_Odiv__class_Odiv'( Y, Z, X ) ), Z ) ),
% 1.34/1.70 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ), T ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ],
% 1.34/1.70 [ ~( 'class_Divides_Osemiring__div'( X ) ), =( hAPP( hAPP(
% 1.34/1.70 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.70 X ), Y ), 'c_Divides_Odiv__class_Odiv'( Z, Y, X ) ) ),
% 1.34/1.70 'c_Divides_Odiv__class_Omod'( Z, Y, X ) ), Z ) ],
% 1.34/1.70 [ ~( 'class_Divides_Osemiring__div'( X ) ), =( hAPP( hAPP(
% 1.34/1.70 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.70 X ), 'c_Divides_Odiv__class_Odiv'( Y, Z, X ) ), Z ) ),
% 1.34/1.70 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ), Y ) ],
% 1.34/1.70 [ ~( 'class_Divides_Osemiring__div'( X ) ), =( Y, hAPP( hAPP(
% 1.34/1.70 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.70 X ), 'c_Divides_Odiv__class_Odiv'( Y, Z, X ) ), Z ) ),
% 1.34/1.70 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.34/1.70 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.70 X ), U ), Z ) ), W ), X ), ~( 'c_lessequals'( T, hAPP( hAPP(
% 1.34/1.70 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.70 X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), U ), Y ) ), Z ) ), W
% 1.34/1.70 ), X ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( Y
% 1.34/1.70 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), U ) ), W ), X ), ~(
% 1.34/1.70 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), Y ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.70 X ), Z ), U ) ), W ), X ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.34/1.70 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.70 X ), U ), Z ) ), W ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.34/1.70 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.70 X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), U ) ), Z ) ), T
% 1.34/1.70 ), W, X ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.34/1.70 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ) ), U ), W, X ), ~(
% 1.34/1.70 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), U ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.70 X ), Z ), T ) ), W ), X ) ) ],
% 1.34/1.70 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 1.34/1.70 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBC'(
% 1.34/1.70 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), Z, X, 'tc_fun'( X, X ), Y )
% 1.34/1.70 , T, Y, X, X ), U, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), W ), T
% 1.34/1.70 ), Y, X ), ~( 'c_Lim_OLIM'( Z, U, W, Y, X ) ) ],
% 1.34/1.70 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.34/1.70 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T )
% 1.34/1.70 , X ), ~( 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 1.34/1.70 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ), X ) ) ],
% 1.34/1.70 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.34/1.70 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.34/1.70 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~(
% 1.34/1.70 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.34/1.70 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.34/1.70 , 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.34/1.70 , Y ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ),
% 1.34/1.70 ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.34/1.70 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.34/1.70 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.34/1.70 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 1.34/1.70 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.34/1.70 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.34/1.70 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~(
% 1.34/1.70 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.34/1.70 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.34/1.70 , 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.34/1.70 , Y ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ),
% 1.34/1.70 ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.34/1.70 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.34/1.70 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.34/1.70 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Y ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ) ) ],
% 1.34/1.70 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP(
% 1.34/1.70 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.34/1.70 ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ) ), hAPP(
% 1.34/1.70 'c_HOL_Oabs__class_Oabs'( X ), Z ) ) ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y )
% 1.34/1.70 ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Z ) ) ) ],
% 1.34/1.70 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.34/1.70 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.34/1.70 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 1.34/1.70 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.34/1.70 T, X ) ) ],
% 1.34/1.70 [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 1.34/1.70 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 1.34/1.70 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 1.34/1.70 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 1.34/1.70 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.34/1.70 , U ), Y ), Z, X ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 1.34/1.70 'c_HOL_Oplus__class_Oplus'( X ), W ), T ), Z, X ) ) ],
% 1.34/1.70 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.34/1.70 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.34/1.70 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 1.34/1.70 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.34/1.70 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.34/1.70 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.34/1.70 , 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ), T ), Z, X ),
% 1.34/1.70 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.34/1.70 , Y ), T ), Z, X ) ) ],
% 1.34/1.70 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.34/1.70 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.34/1.70 , Y ), 'c_Divides_Odiv__class_Omod'( Z, T, X ) ), T, X ),
% 1.34/1.70 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.34/1.70 , Y ), Z ), T, X ) ) ],
% 1.34/1.70 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.34/1.70 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.34/1.70 , Y ), Z ), Z, X ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 1.34/1.70 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.34/1.70 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.34/1.70 , Y ), Z ), Y, X ), 'c_Divides_Odiv__class_Omod'( Z, Y, X ) ) ],
% 1.34/1.70 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.34/1.70 , 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.34/1.70 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~(
% 1.34/1.70 'c_lessequals'( Y, T, X ) ) ],
% 1.34/1.70 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.34/1.70 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.34/1.70 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 1.34/1.70 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.34/1.70 , 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.34/1.70 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~(
% 1.34/1.70 'c_lessequals'( Z, T, X ) ) ],
% 1.34/1.70 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.34/1.70 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.34/1.70 'c_HOL_Oplus__class_Oplus'( X ), T ), Y ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ) ) ],
% 1.34/1.70 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.34/1.70 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.34/1.70 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~(
% 1.34/1.70 'c_lessequals'( Y, T, X ) ) ],
% 1.34/1.70 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.34/1.70 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.34/1.70 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~(
% 1.34/1.70 'c_lessequals'( Z, T, X ) ) ],
% 1.34/1.70 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.34/1.70 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.34/1.70 X ), Y ), Z ) ), Z ), Y ) ],
% 1.34/1.70 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.34/1.70 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.34/1.70 , Y ), Z ), T, X ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 1.34/1.70 'c_HOL_Oplus__class_Oplus'( X ), 'c_Divides_Odiv__class_Omod'( Y, T, X )
% 1.34/1.70 ), 'c_Divides_Odiv__class_Omod'( Z, T, X ) ), T, X ) ) ],
% 1.34/1.70 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__join'( X ) ), =(
% 1.34/1.70 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.34/1.70 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ), T ),
% 1.34/1.70 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( hAPP(
% 1.34/1.70 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 1.34/1.70 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__join'( X ) ), =(
% 1.34/1.70 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.34/1.70 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ) ),
% 1.34/1.70 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( hAPP(
% 1.34/1.70 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ) ) ],
% 1.34/1.70 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 1.34/1.70 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.34/1.70 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ) ),
% 1.34/1.70 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( hAPP(
% 1.34/1.70 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ) ) ],
% 1.34/1.70 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 1.34/1.70 hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.34/1.70 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ), T ),
% 1.34/1.70 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( hAPP(
% 1.34/1.70 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 1.34/1.70 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.34/1.70 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.34/1.70 , Y ), Z ), T, X ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 1.34/1.70 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_Divides_Odiv__class_Omod'( Z, T
% 1.34/1.70 , X ) ), T, X ) ) ],
% 1.34/1.70 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.34/1.70 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.34/1.70 , Y ), Z ), T, X ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 1.34/1.70 'c_HOL_Oplus__class_Oplus'( X ), 'c_Divides_Odiv__class_Omod'( Y, T, X )
% 1.34/1.70 ), Z ), T, X ) ) ],
% 1.34/1.70 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.34/1.70 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.34/1.70 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) )
% 1.34/1.70 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Ominus__class_Ominus'( X ), Y ), T ) ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Ominus__class_Ominus'( X ), Z ), U ) ) ) ],
% 1.34/1.70 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.34/1.70 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.34/1.70 X ), Y ), Z ) ), Z ), Y ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.34/1.70 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ), ~( 'c_lessequals'(
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.34/1.70 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.34/1.70 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ),
% 1.34/1.70 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.34/1.70 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ) ),
% 1.34/1.70 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.34/1.70 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ),
% 1.34/1.70 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.34/1.70 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), 'c_lessequals'(
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.34/1.70 'c_Power_Opower__class_Opower'( X ), Z ), Y ), X ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.34/1.70 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), 'c_lessequals'( Z,
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.34/1.70 'c_Power_Opower__class_Opower'( X ), Z ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.70 X ), X ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.34/1.70 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.34/1.70 , Y ) ), Z ), X ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.34/1.70 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.34/1.70 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), =( Y,
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'(
% 1.34/1.70 Z, 'tc_nat' ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.34/1.70 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.34/1.70 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~(
% 1.34/1.70 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ),
% 1.34/1.70 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'(
% 1.34/1.70 Z, 'tc_nat' ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.34/1.70 'c_Power_Opower__class_Opower'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.70 X ), X ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.34/1.70 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.34/1.70 ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.34/1.70 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.34/1.70 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.34/1.70 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.34/1.70 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), T ), hAPP( hAPP(
% 1.34/1.70 'c_Power_Opower__class_Opower'( X ), Z ), T ), X ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.34/1.70 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), ~(
% 1.34/1.70 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.34/1.70 ), Z ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.34/1.70 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~(
% 1.34/1.70 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.34/1.70 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~(
% 1.34/1.70 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.34/1.70 'class_OrderedGroup_Omonoid__mult'( X ) ), 'c_lessequals'(
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.34/1.70 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~(
% 1.34/1.70 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 1.34/1.70 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 1.34/1.70 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.34/1.70 'c_Lattices_Oupper__semilattice__class_Osup'( Y, hAPP(
% 1.34/1.70 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ), hAPP(
% 1.34/1.70 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.34/1.70 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.34/1.70 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 1.34/1.70 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.34/1.70 'c_Lattices_Oupper__semilattice__class_Osup'( Y, hAPP(
% 1.34/1.70 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ), Y ),
% 1.34/1.70 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.34/1.70 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP(
% 1.34/1.70 'c_HOL_Oabs__class_Oabs'( X ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.34/1.70 X ), Y ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.70 X ), X ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =( hAPP(
% 1.34/1.70 'c_HOL_Oabs__class_Oabs'( X ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.34/1.70 X ), Y ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.70 X ), X ) ) ],
% 1.34/1.70 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 1.34/1.70 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =( hAPP(
% 1.34/1.70 'c_HOL_Oabs__class_Oabs'( X ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.34/1.70 X ), Y ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.70 X ), X ) ) ],
% 1.34/1.70 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.34/1.70 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP(
% 1.34/1.70 'c_HOL_Oabs__class_Oabs'( X ), Y ) ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.34/1.70 ) ],
% 1.34/1.70 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP(
% 1.34/1.70 'c_HOL_Oabs__class_Oabs'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ) )
% 1.34/1.70 , hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ) ) ],
% 1.34/1.70 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.34/1.70 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP(
% 1.34/1.70 'c_HOL_Oabs__class_Oabs'( X ), Y ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.70 X ) ) ],
% 1.34/1.70 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OMin', X, 'tc_Int_Oint' ), ~(
% 1.34/1.70 'c_HOL_Oord__class_Oless'( 'c_Int_OMin', 'c_Int_OBit0'( X ),
% 1.34/1.70 'tc_Int_Oint' ) ) ],
% 1.34/1.70 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OMin', 'c_Int_OBit0'( X ),
% 1.34/1.70 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( 'c_Int_OMin', X,
% 1.34/1.70 'tc_Int_Oint' ) ) ],
% 1.34/1.70 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OMin', X, 'tc_Int_Oint' ), ~(
% 1.34/1.70 'c_HOL_Oord__class_Oless'( 'c_Int_OMin', 'c_Int_OBit1'( X ),
% 1.34/1.70 'tc_Int_Oint' ) ) ],
% 1.34/1.70 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OMin', 'c_Int_OBit1'( X ),
% 1.34/1.70 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( 'c_Int_OMin', X,
% 1.34/1.70 'tc_Int_Oint' ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.34/1.70 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.34/1.70 ), Y ), Z ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), T ),
% 1.34/1.70 X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X )
% 1.34/1.70 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.34/1.70 ), ~( 'c_HOL_Oord__class_Oless'( T, Z, 'tc_nat' ) ) ],
% 1.34/1.70 [ =( 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'c_Divides_Odiv__class_Odiv'( X
% 1.34/1.70 , Y, 'tc_nat' ) ), Y ) ) ) ],
% 1.34/1.70 [ 'c_Fun_Oinj__on'( 'c_COMBC'( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X
% 1.34/1.70 , 'tc_nat', 'tc_nat', 'tc_nat' ), Y, 'tc_nat', 'tc_nat' ) ],
% 1.34/1.70 [ =( 'c_Divides_Odiv__class_Omod'( hAPP( 'c_Suc', hAPP( hAPP(
% 1.34/1.70 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), X, 'tc_nat' ),
% 1.34/1.70 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.34/1.70 'c_HOL_Oone__class_Oone'( 'tc_nat' ), X, 'tc_nat' ) ) ],
% 1.34/1.70 [ ~( =( 'c_Complex_Oii', 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex'
% 1.34/1.70 ) ) ) ],
% 1.34/1.70 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.34/1.70 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat'
% 1.34/1.70 ), X ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Z, X, 'tc_nat' )
% 1.34/1.70 ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ) ],
% 1.34/1.70 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.34/1.70 'c_Divides_Odiv__class_Odiv'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), Z
% 1.34/1.70 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.34/1.70 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.34/1.70 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 1.34/1.70 'c_HOL_Oabs__class_Oabs'( X ), Y ), X ) ],
% 1.34/1.70 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.34/1.70 'c_lessequals'( Y, hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ), X ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.34/1.70 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.34/1.70 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.34/1.70 'c_HOL_Oabs__class_Oabs'( X ), Y ), Z, X ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ), X ) ]
% 1.34/1.70 ,
% 1.34/1.70 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.34/1.70 'c_Divides_Odiv__class_Odiv'( X, Y, 'tc_nat' ) ), Y ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ),
% 1.34/1.70 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ) ) ) ],
% 1.34/1.70 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ),
% 1.34/1.70 'c_Divides_Odiv__class_Odiv'( Y, X, 'tc_nat' ) ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ),
% 1.34/1.70 'c_Divides_Odiv__class_Omod'( Y, X, 'tc_nat' ) ) ) ],
% 1.34/1.70 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.34/1.70 'tc_nat' ), X ), Y ), Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z,
% 1.34/1.70 'tc_nat' ) ) ],
% 1.34/1.70 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.34/1.70 'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.34/1.70 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 1.34/1.70 , X ) ) ],
% 1.34/1.70 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 1.34/1.70 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 1.34/1.70 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_Int_Oint' ) ) ],
% 1.34/1.70 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.34/1.70 , Y, X ) ) ],
% 1.34/1.70 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.34/1.70 , Y, X ) ) ],
% 1.34/1.70 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.34/1.70 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.34/1.70 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.70 X ), X ) ) ],
% 1.34/1.70 [ =( hAPP( hAPP( X, Y ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), Y ),
% 1.34/1.70 ~( 'c_Groebner__Basis_Ogb__semiring'( Z, T, X, U, W, V0 ) ) ],
% 1.34/1.70 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 1.34/1.70 'class_Power_Opower'( X ) ), ~( 'class_RealVector_Ometric__space'( Y ) )
% 1.34/1.70 , 'c_Lim_OLIM'( 'c_COMBC'( 'c_COMBB'( 'c_Power_Opower__class_Opower'( X )
% 1.34/1.70 , Z, X, 'tc_fun'( 'tc_nat', X ), Y ), T, Y, 'tc_nat', X ), U, hAPP( hAPP(
% 1.34/1.70 'c_Power_Opower__class_Opower'( X ), W ), T ), Y, X ), ~( 'c_Lim_OLIM'( Z
% 1.34/1.70 , U, W, Y, X ) ) ],
% 1.34/1.70 [ ~( 'class_Divides_Oring__div'( X ) ), ~( =(
% 1.34/1.70 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 1.34/1.70 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 1.34/1.70 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 1.34/1.70 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X
% 1.34/1.70 ), U ), Y ), Z, X ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 1.34/1.70 'c_HOL_Ominus__class_Ominus'( X ), W ), T ), Z, X ) ) ],
% 1.34/1.70 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.34/1.70 'c_lessequals'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ),
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.34/1.70 ,
% 1.34/1.70 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.34/1.70 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.34/1.70 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.70 X ), X ) ) ],
% 1.34/1.70 [ =( X, hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.34/1.70 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ), ~(
% 1.34/1.70 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.34/1.70 'tc_nat' ) ) ],
% 1.34/1.70 [ =( hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' )
% 1.34/1.70 , X ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ), X ), ~(
% 1.34/1.70 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.34/1.70 'tc_nat' ) ) ],
% 1.34/1.70 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.34/1.70 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.34/1.70 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.34/1.70 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.34/1.70 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.34/1.70 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ), ~(
% 1.34/1.70 'c_lessequals'( Y, Z, X ) ) ],
% 1.34/1.70 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =(
% 1.34/1.70 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ) ),
% 1.34/1.70 'c_lessequals'( Y, Z, X ) ],
% 1.34/1.70 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.34/1.70 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Y ), ~(
% 1.34/1.70 'c_lessequals'( Z, Y, X ) ) ],
% 1.34/1.70 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.34/1.70 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X )
% 1.34/1.70 , Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.34/1.70 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.34/1.70 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.34/1.70 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.34/1.70 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ),
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.34/1.70 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 1.34/1.70 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ),
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.34/1.70 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.34/1.70 'c_HOL_Oone__class_Oone'( X ), X ) ],
% 1.34/1.70 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( Y,
% 1.34/1.70 'c_Series_Osuminf'( Z, X ) ), ~( 'c_Series_Osums'( Z, Y, X ) ) ],
% 1.34/1.70 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.34/1.70 'c_Series_Osuminf'( Y, X ), Z ), ~( 'c_Series_Osums'( Y, Z, X ) ) ],
% 1.34/1.70 [ 'c_HOL_Oord__class_Oless'( 'c_Divides_Odiv__class_Odiv'( X, Y,
% 1.34/1.70 'tc_nat' ), X, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ), ~(
% 1.34/1.70 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), Y,
% 1.34/1.70 'tc_nat' ) ) ],
% 1.34/1.70 [ ~( 'c_HOL_Oord__class_Oless'( 'c_Int_OPls', 'c_Int_OMin',
% 1.34/1.70 'tc_Int_Oint' ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( hAPP( hAPP(
% 1.34/1.70 'c_Power_Opower__class_Opower'( X ), Y ), Z ), hAPP( hAPP(
% 1.34/1.70 'c_Power_Opower__class_Opower'( X ), Y ), T ) ) ), ~(
% 1.34/1.70 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), =( Z
% 1.34/1.70 , T ) ],
% 1.34/1.70 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ),
% 1.34/1.70 ~( 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.34/1.70 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'(
% 1.34/1.70 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.34/1.70 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.34/1.70 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ),
% 1.34/1.70 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.34/1.70 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ),
% 1.34/1.70 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.34/1.70 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ],
% 1.34/1.70 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.34/1.70 'c_lessequals'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y )
% 1.34/1.70 ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Z ) ), X ) ],
% 1.34/1.70 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 1.34/1.70 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =( hAPP(
% 1.34/1.70 'c_HOL_Oabs__class_Oabs'( X ), Y ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =( hAPP(
% 1.34/1.70 'c_HOL_Oabs__class_Oabs'( X ), Y ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.34/1.70 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.34/1.70 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), T ), Y ), hAPP( hAPP(
% 1.34/1.70 'c_Power_Opower__class_Opower'( X ), T ), Z ), X ) ), ~(
% 1.34/1.70 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), T, X ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.34/1.70 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.34/1.70 ), Y ), Z ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), T ),
% 1.34/1.70 X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X )
% 1.34/1.70 ), ~( 'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.34/1.70 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.34/1.70 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), T ), Y ), hAPP( hAPP(
% 1.34/1.70 'c_Power_Opower__class_Opower'( X ), T ), Z ), X ) ), ~(
% 1.34/1.70 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), T, X ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.34/1.70 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.34/1.70 ), Y ), Z ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), T ),
% 1.34/1.70 X ), ~( 'c_HOL_Oord__class_Oless'( Z, T, 'tc_nat' ) ), ~(
% 1.34/1.70 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.34/1.70 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.34/1.70 'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.34/1.70 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ), Y, 'tc_nat' ) ) ]
% 1.34/1.70 ,
% 1.34/1.70 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.34/1.70 'tc_nat' ), X ), Y ), Z, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X,
% 1.34/1.70 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), Y ), 'tc_nat'
% 1.34/1.70 ) ) ],
% 1.34/1.70 [ ~( 'c_HOL_Oord__class_Oless'( 'c_Int_OMin', 'c_Int_OMin',
% 1.34/1.70 'tc_Int_Oint' ) ) ],
% 1.34/1.70 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 1.34/1.70 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP(
% 1.34/1.70 'c_HOL_Oabs__class_Oabs'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), X ) ) ]
% 1.34/1.70 ,
% 1.34/1.70 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 1.34/1.70 ,
% 1.34/1.70 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 1.34/1.70 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.34/1.70 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 1.34/1.70 , X ) ) ],
% 1.34/1.70 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.34/1.70 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 1.34/1.70 , X ) ) ],
% 1.34/1.70 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.34/1.70 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.34/1.70 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.34/1.70 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 1.34/1.70 ) ) ],
% 1.34/1.70 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.34/1.70 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 1.34/1.70 ) ) ],
% 1.34/1.70 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.34/1.70 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 1.34/1.70 [ hBOOL( hAPP( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~(
% 1.34/1.70 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ), ~( hBOOL( hAPP( X, hAPP(
% 1.34/1.70 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ) ) ) ],
% 1.34/1.70 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ),
% 1.34/1.70 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ),
% 1.34/1.70 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ), ~(
% 1.34/1.70 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.34/1.70 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), X ), 'tc_nat' ) ) ],
% 1.34/1.70 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ),
% 1.34/1.70 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ),
% 1.34/1.70 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.34/1.70 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.34/1.70 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ), 'tc_nat' ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.34/1.70 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.34/1.70 , Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.34/1.70 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.34/1.70 X ), Y ), Z ) ), T, X ) ) ],
% 1.34/1.70 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.34/1.70 'tc_nat' ), X ), Y ), X, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ), ~(
% 1.34/1.70 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 1.34/1.70 'tc_nat' ) ) ],
% 1.34/1.70 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), X ) ), Y ),
% 1.34/1.70 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 1.34/1.70 [ =( 'c_Set_Oimage'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y
% 1.34/1.70 , Z, 'tc_fun'( T, 'tc_bool' ) ), T, U ),
% 1.34/1.70 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oimage'( X, Y, T, U
% 1.34/1.70 ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 1.34/1.70 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.34/1.70 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP(
% 1.34/1.70 'c_HOL_Oabs__class_Oabs'( X ), Y ), X ) ],
% 1.34/1.70 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.34/1.70 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.34/1.70 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.34/1.70 'c_lessequals'( Z, Y, X ) ],
% 1.34/1.70 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.34/1.70 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.34/1.70 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.34/1.70 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.34/1.70 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 1.34/1.70 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.34/1.70 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Y
% 1.34/1.70 , 'tc_nat' ), 'tc_nat' ), 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.70 X ), X ), ~( 'c_lessequals'( hAPP( hAPP( 'c_Power_Opower__class_Opower'(
% 1.34/1.70 X ), Z ), 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ),
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.34/1.70 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.34/1.70 ), Y ), 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ),
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.34/1.70 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.34/1.70 , 'tc_nat' ), 'tc_nat' ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.34/1.70 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.34/1.70 , 'tc_nat' ), 'tc_nat' ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.70 X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.34/1.70 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), X ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.34/1.70 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.34/1.70 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), X ), ~(
% 1.34/1.70 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ),
% 1.34/1.70 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.34/1.70 , 'tc_nat' ), 'tc_nat' ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.34/1.70 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Y
% 1.34/1.70 , 'tc_nat' ), 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.34/1.70 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.34/1.70 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ),
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.34/1.70 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.34/1.70 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), X ), ~(
% 1.34/1.70 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.34/1.70 , 'tc_nat' ), 'tc_nat' ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'(
% 1.34/1.70 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ), 'tc_nat' ) ), ~(
% 1.34/1.70 'c_lessequals'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.34/1.70 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ),
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.34/1.70 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.34/1.70 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.34/1.70 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), X ), ~(
% 1.34/1.70 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ),
% 1.34/1.70 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.34/1.70 , 'tc_nat' ), 'tc_nat' ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.34/1.70 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.34/1.70 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.34/1.70 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), X ), =( Y,
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'(
% 1.34/1.70 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.34/1.70 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'( Y
% 1.34/1.70 , Z, X ), ~( 'c_SEQ_OLIMSEQ'( 'c_COMBS'( 'c_COMBB'(
% 1.34/1.70 'c_HOL_Ominus__class_Ominus'( X ), Y, X, 'tc_fun'( X, X ), 'tc_nat' ), T
% 1.34/1.70 , 'tc_nat', X, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.34/1.70 'c_SEQ_OLIMSEQ'( T, Z, X ) ) ],
% 1.34/1.70 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'( Y
% 1.34/1.70 , Z, X ), ~( 'c_SEQ_OLIMSEQ'( 'c_COMBS'( 'c_COMBB'(
% 1.34/1.70 'c_HOL_Ominus__class_Ominus'( X ), T, X, 'tc_fun'( X, X ), 'tc_nat' ), Y
% 1.34/1.70 , 'tc_nat', X, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.34/1.70 'c_SEQ_OLIMSEQ'( T, Z, X ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.34/1.70 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.70 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.34/1.70 'c_HOL_Oinverse__class_Odivide'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.34/1.70 'c_Int_OMin', X ) ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP(
% 1.34/1.70 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X )
% 1.34/1.70 ), Y ) ) ) ],
% 1.34/1.70 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OPls', X, 'tc_Int_Oint' ), ~(
% 1.34/1.70 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.34/1.70 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.34/1.70 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.34/1.70 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ), 'tc_nat' ), ~(
% 1.34/1.70 'c_HOL_Oord__class_Oless'( 'c_Int_OPls', X, 'tc_Int_Oint' ) ) ],
% 1.34/1.70 [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( 'c_Suc', X ), Y, 'tc_nat' ),
% 1.34/1.70 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_Divides_Odiv__class_Odiv'( X,
% 1.34/1.70 Y, 'tc_nat' ) ), 'c_Divides_Odiv__class_Odiv'( hAPP( 'c_Suc',
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Y, 'tc_nat' ) ) ),
% 1.34/1.70 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.34/1.70 'tc_nat' ), 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ) ),
% 1.34/1.70 'c_Divides_Odiv__class_Omod'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.70 'tc_nat' ) ), Y, 'tc_nat' ) ), Y, 'tc_nat' ) ) ) ],
% 1.34/1.70 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP(
% 1.34/1.70 'c_HOL_Oabs__class_Oabs'( X ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.34/1.70 X ), Y ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.34/1.70 ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.70 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.34/1.70 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.34/1.70 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 1.34/1.70 , X ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.70 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.34/1.70 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.34/1.70 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.34/1.70 ), X ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.34/1.70 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ), X ), ~( 'c_lessequals'( U
% 1.34/1.70 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.34/1.70 , U, X ) ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.70 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.34/1.70 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.34/1.70 ), 'c_HOL_Oone__class_Oone'( X ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.34/1.70 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.34/1.70 X ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.70 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.34/1.70 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.34/1.70 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.34/1.70 ), 'c_HOL_Oone__class_Oone'( X ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.34/1.70 , X ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~(
% 1.34/1.70 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.34/1.70 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~(
% 1.34/1.70 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.34/1.70 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.34/1.70 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.34/1.70 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), U )
% 1.34/1.70 , X ), ~( 'c_lessequals'( U, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ), U, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.34/1.70 Y, T, X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 1.34/1.70 ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.34/1.70 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.34/1.70 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.70 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.34/1.70 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X )
% 1.34/1.70 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.70 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.34/1.70 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.34/1.70 ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.70 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.34/1.70 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.34/1.70 , Y ) ), Z ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ), ~(
% 1.34/1.70 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 1.34/1.70 ,
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.70 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.34/1.70 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.34/1.70 ,
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.70 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.34/1.70 ), X ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.34/1.70 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.34/1.70 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), U )
% 1.34/1.70 , X ), ~( 'c_HOL_Oord__class_Oless'( U, Z, X ) ), ~(
% 1.34/1.70 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U, X ) ), ~(
% 1.34/1.70 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.70 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.34/1.70 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.34/1.70 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.34/1.70 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.34/1.70 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.70 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( Z,
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 1.34/1.70 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.70 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.34/1.70 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), ~(
% 1.34/1.70 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ),
% 1.34/1.70 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.34/1.70 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.70 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'( Z,
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.34/1.70 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), Y, X ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.34/1.70 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.34/1.70 ), Y ), Z ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), T ), Z ),
% 1.34/1.70 X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.34/1.70 , Z, 'tc_nat' ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 1.34/1.70 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.34/1.70 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'(
% 1.34/1.70 'c_COMBS'( 'c_COMBB'( 'c_HOL_Ominus__class_Ominus'( X ), Y, X, 'tc_fun'(
% 1.34/1.70 X, X ), X ), Z, X, X, X ), T, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X
% 1.34/1.70 ), U ), W ), X ), ~( 'c_Deriv_Oderiv'( Z, T, W, X ) ), ~(
% 1.34/1.70 'c_Deriv_Oderiv'( Y, T, U, X ) ) ],
% 1.34/1.70 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.34/1.70 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBS'(
% 1.34/1.70 'c_COMBB'( 'c_HOL_Ominus__class_Ominus'( X ), Z, X, 'tc_fun'( X, X ), Y )
% 1.34/1.70 , T, Y, X, X ), U, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), W ), V0
% 1.34/1.70 ), Y, X ), ~( 'c_Lim_OLIM'( T, U, V0, Y, X ) ), ~( 'c_Lim_OLIM'( Z, U, W
% 1.34/1.70 , Y, X ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.34/1.70 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.34/1.70 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP(
% 1.34/1.70 hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), X ), ~(
% 1.34/1.70 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.34/1.70 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.34/1.70 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), X ), ~(
% 1.34/1.70 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.34/1.70 [ ~( 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'( X )
% 1.34/1.70 , 'c_Power_Opower_Opower'( 'c_HOL_Oone__class_Oone'( X ),
% 1.34/1.70 'c_HOL_Otimes__class_Otimes'( X ), X ) ) ],
% 1.34/1.70 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_Series_Osums'(
% 1.34/1.70 'c_COMBC'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), Y, X, 'tc_fun'(
% 1.34/1.70 X, X ), 'tc_nat' ), Z, 'tc_nat', X, X ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ), ~( 'c_Series_Osums'( Y
% 1.34/1.70 , T, X ) ) ],
% 1.34/1.70 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_Series_Osums'(
% 1.34/1.70 'c_COMBC'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), Y, X, 'tc_fun'(
% 1.34/1.70 X, X ), 'tc_nat' ), Z, 'tc_nat', X, X ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ), ~( 'c_Series_Osums'( Y
% 1.34/1.70 , T, X ) ) ],
% 1.34/1.70 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.34/1.70 'c_COMBC'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), Y, X, 'tc_fun'(
% 1.34/1.70 X, X ), 'tc_nat' ), Z, 'tc_nat', X, X ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ), ~( 'c_SEQ_OLIMSEQ'( Y,
% 1.34/1.70 T, X ) ) ],
% 1.34/1.70 [ ~( hBOOL( hAPP( X, 'c_Divides_Odiv__class_Omod'( Y,
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ) ), hBOOL( hAPP( X
% 1.34/1.70 , Y ) ) ],
% 1.34/1.70 [ ~( hBOOL( hAPP( X, Y ) ) ), hBOOL( hAPP( X,
% 1.34/1.70 'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.34/1.70 'tc_nat' ) ) ) ],
% 1.34/1.70 [ =( hAPP( hAPP( 'c_Power_Opower_Opower'( X, Y, Z ), T ),
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ) ],
% 1.34/1.70 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 1.34/1.70 [ ~( hBOOL( hAPP( X, 'c_Divides_Odiv__class_Odiv'( Y,
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ) ), hBOOL( hAPP( X
% 1.34/1.70 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.34/1.70 [ ~( hBOOL( hAPP( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), hBOOL(
% 1.34/1.70 hAPP( X, 'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.70 'tc_nat' ), 'tc_nat' ) ) ) ],
% 1.34/1.70 [ hBOOL( hAPP( X, 'c_Divides_Odiv__class_Odiv'( Y,
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ), ~( hBOOL( hAPP( X
% 1.34/1.70 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 1.34/1.70 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.34/1.70 'tc_nat' ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.34/1.70 [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.70 'tc_nat' ), 'tc_nat' ) ],
% 1.34/1.70 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.34/1.70 ), 'tc_nat' ) ) ],
% 1.34/1.70 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.34/1.70 ), 'tc_nat' ) ) ],
% 1.34/1.70 [ =( hAPP( hAPP( X, Y ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z ),
% 1.34/1.70 ~( 'c_Groebner__Basis_Ogb__semiring'( T, U, X, W, Z, V0 ) ) ],
% 1.34/1.70 [ ~( =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ),
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( =( hAPP( hAPP(
% 1.34/1.70 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), X ),
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y, X ) ],
% 1.34/1.70 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), X ),
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.34/1.70 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ),
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ) ],
% 1.34/1.70 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ),
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.70 'tc_nat' ) ) ],
% 1.34/1.70 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.34/1.70 'c_COMBC'( 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'( X ), Y, X, 'tc_fun'( X
% 1.34/1.70 , X ), 'tc_nat' ), Z, 'tc_nat', X, X ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~( 'c_SEQ_OLIMSEQ'( Y, T
% 1.34/1.70 , X ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.34/1.70 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.34/1.70 X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.34/1.70 'c_HOL_Oone__class_Oone'( X ) ) ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.34/1.70 Z, X ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.34/1.70 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.34/1.70 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.34/1.70 'c_HOL_Oone__class_Oone'( X ) ) ), Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.34/1.70 Y, Z, X ) ) ],
% 1.34/1.70 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), ~(
% 1.34/1.70 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBC'(
% 1.34/1.70 'c_COMBB'( 'c_HOL_Oinverse__class_Odivide'( X ), Z, X, 'tc_fun'( X, X ),
% 1.34/1.70 Y ), T, Y, X, X ), U, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), W
% 1.34/1.70 ), T ), Y, X ), ~( 'c_Lim_OLIM'( Z, U, W, Y, X ) ) ],
% 1.34/1.70 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'(
% 1.34/1.70 'c_COMBC'( 'c_COMBB'( 'c_HOL_Oinverse__class_Odivide'( X ), Y, X,
% 1.34/1.70 'tc_fun'( X, X ), X ), Z, X, X, X ), T, hAPP( hAPP(
% 1.34/1.70 'c_HOL_Oinverse__class_Odivide'( X ), U ), Z ), X ), ~( 'c_Deriv_Oderiv'(
% 1.34/1.70 Y, T, U, X ) ) ],
% 1.34/1.70 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.34/1.70 'c_lessequals'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ),
% 1.34/1.70 'c_Finite__Set_Osetsum'( Y, Z, T, X ) ), 'c_Finite__Set_Osetsum'(
% 1.34/1.70 'c_COMBB'( 'c_HOL_Oabs__class_Oabs'( X ), Y, X, X, T ), Z, T, X ), X ) ]
% 1.34/1.70 ,
% 1.34/1.70 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.34/1.70 'c_Power_Opower__class_Opower'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.34/1.70 'c_Int_OMin', X ) ), Y ), 'c_Int_Onumber__class_Onumber__of'(
% 1.34/1.70 'c_Int_OMin', X ) ), 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ]
% 1.34/1.70 ,
% 1.34/1.70 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.34/1.70 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ), hAPP(
% 1.34/1.70 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ]
% 1.34/1.70 ,
% 1.34/1.70 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP(
% 1.34/1.70 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.34/1.70 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.34/1.70 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.34/1.70 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.34/1.70 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Int_OBit1'( 'c_Int_OPls' ),
% 1.34/1.70 'tc_Int_Oint' ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.34/1.70 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.34/1.70 'c_Int_OBit1'( 'c_Int_OPls' ), 'tc_Int_Oint' ), ~(
% 1.34/1.70 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.34/1.70 'c_HOL_Oone__class_Oone'( X ), X ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.34/1.70 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.34/1.70 'c_HOL_Oone__class_Oone'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.34/1.70 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( 'c_Int_OPls' ), Y,
% 1.34/1.70 'tc_Int_Oint' ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.34/1.70 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.34/1.70 'c_Int_OBit1'( 'c_Int_OPls' ), Y, 'tc_Int_Oint' ), ~(
% 1.34/1.70 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.34/1.70 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.34/1.70 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.34/1.70 'tc_nat' ), X ), hAPP( 'c_Suc', Y ) ), X, 'tc_nat' ), ~(
% 1.34/1.70 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.34/1.70 'tc_nat' ) ) ],
% 1.34/1.70 [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( 'c_Suc', X ), hAPP( 'c_Suc',
% 1.34/1.70 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat' ),
% 1.34/1.70 'c_Divides_Odiv__class_Odiv'( X, hAPP( 'c_Suc', hAPP( 'c_Suc',
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat' ) ), ~(
% 1.34/1.70 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.34/1.70 [ =( 'c_Divides_Odiv__class_Omod'( X, hAPP( 'c_Suc', hAPP( 'c_Suc',
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat' ), hAPP( 'c_Suc',
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ),
% 1.34/1.70 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.34/1.70 [ ~( =( 'c_Divides_Odiv__class_Omod'( X, hAPP( 'c_Suc', hAPP( 'c_Suc',
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat' ), hAPP( 'c_Suc',
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), ~(
% 1.34/1.70 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.34/1.70 [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( 'c_Suc', X ), hAPP( 'c_Suc',
% 1.34/1.70 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat' ),
% 1.34/1.70 hAPP( 'c_Suc', 'c_Divides_Odiv__class_Odiv'( X, hAPP( 'c_Suc', hAPP(
% 1.34/1.70 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat' ) ) ),
% 1.34/1.70 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.34/1.70 [ =( hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' )
% 1.34/1.70 , X ), hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), X ),
% 1.34/1.70 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.34/1.70 'tc_nat' ) ) ],
% 1.34/1.70 [ =( 'c_Divides_Odiv__class_Omod'( X, hAPP( 'c_Suc', hAPP( 'c_Suc',
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat' ),
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~(
% 1.34/1.70 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.34/1.70 [ ~( =( 'c_Divides_Odiv__class_Omod'( X, hAPP( 'c_Suc', hAPP( 'c_Suc',
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat' ),
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ),
% 1.34/1.70 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.34/1.70 [ =( 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ), hAPP( 'c_Suc',
% 1.34/1.70 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ),
% 1.34/1.70 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ) ),
% 1.34/1.70 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.34/1.70 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.34/1.70 [ =( 'c_Divides_Odiv__class_Omod'( hAPP( 'c_Suc', X ), Y, 'tc_nat' ),
% 1.34/1.70 'c_Divides_Odiv__class_Omod'( hAPP( 'c_Suc', 'c_Divides_Odiv__class_Omod'(
% 1.34/1.70 X, Y, 'tc_nat' ) ), Y, 'tc_nat' ) ) ],
% 1.34/1.70 [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.34/1.70 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Suc', Y ), 'tc_nat' ) ) ],
% 1.34/1.70 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( Y, hAPP( 'c_Suc', X ),
% 1.34/1.70 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 1.34/1.70 [ =( X, Y ), ~( 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Suc', Y ),
% 1.34/1.70 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ],
% 1.34/1.70 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( 'c_Suc'
% 1.34/1.70 , X ) ), hAPP( 'c_Suc', Y ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.34/1.70 'tc_nat' ), X ), Y ) ) ],
% 1.34/1.70 [ =( hAPP( hAPP( 'c_Power_Opower_Opower'( X, Y, Z ), T ), hAPP( 'c_Suc'
% 1.34/1.70 , U ) ), hAPP( hAPP( Y, T ), hAPP( hAPP( 'c_Power_Opower_Opower'( X, Y, Z
% 1.34/1.70 ), T ), U ) ) ) ],
% 1.34/1.70 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( 'c_Suc', X ) ), Y ) ),
% 1.34/1.70 hAPP( 'c_Suc', Z ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat'
% 1.34/1.70 ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Z )
% 1.34/1.70 ) ],
% 1.34/1.70 [ 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Suc', Y ), 'tc_nat' ),
% 1.34/1.70 'c_HOL_Oord__class_Oless'( Y, X, 'tc_nat' ) ],
% 1.34/1.70 [ ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ), ~(
% 1.34/1.70 'c_HOL_Oord__class_Oless'( Y, hAPP( 'c_Suc', X ), 'tc_nat' ) ) ],
% 1.34/1.70 [ 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 1.34/1.70 X, hAPP( 'c_Suc', X ), 'tc_nat' ) ],
% 1.34/1.70 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.34/1.70 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', X ), Y, 'tc_nat' ) ) ],
% 1.34/1.70 [ 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Suc', Y ), 'tc_nat' ), ~(
% 1.34/1.70 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.34/1.70 [ =( hAPP( hAPP( X, Y ), hAPP( 'c_Suc', Z ) ), hAPP( hAPP( T, Y ), hAPP(
% 1.34/1.70 hAPP( X, Y ), Z ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, T, X, W,
% 1.34/1.70 V0, V1 ) ) ],
% 1.34/1.70 [ =( hAPP( hAPP( X, Y ), hAPP( 'c_Suc', Z ) ), hAPP( hAPP( T, Y ), hAPP(
% 1.34/1.70 hAPP( X, Y ), Z ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, T, X, W,
% 1.34/1.70 V0, V1 ) ) ],
% 1.34/1.70 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), Z ), hAPP( hAPP( Y, Z ),
% 1.34/1.70 hAPP( 'c_Suc', T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, Y, W
% 1.34/1.70 , V0, V1 ) ) ],
% 1.34/1.70 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, Y ), T ) ), hAPP( hAPP( Z, Y ),
% 1.34/1.70 hAPP( 'c_Suc', T ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( U, X, Z, W
% 1.34/1.70 , V0, V1 ) ) ],
% 1.34/1.70 [ 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Suc', X ), 'tc_nat' ) ],
% 1.34/1.70 [ 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Suc', X ), 'tc_nat' ) ],
% 1.34/1.70 [ 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', X ), Y, 'tc_nat' ), ~(
% 1.34/1.70 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), ~(
% 1.34/1.70 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 1.34/1.70 [ 'c_Fun_Oinj__on'( 'c_Suc', X, 'tc_nat', 'tc_nat' ) ],
% 1.34/1.70 [ =( 'c_Divides_Odiv__class_Omod'( hAPP( 'c_Suc', X ), Y, 'tc_nat' ),
% 1.34/1.70 hAPP( 'c_Suc', 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ) ) ), =(
% 1.34/1.70 hAPP( 'c_Suc', 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ) ), Y ) ]
% 1.34/1.70 ,
% 1.34/1.70 [ 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', X ), Y, 'tc_nat' ), =( hAPP(
% 1.34/1.70 'c_Suc', X ), Y ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ]
% 1.34/1.70 ,
% 1.34/1.70 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ), ~(
% 1.34/1.70 'c_Parity_Oeven__odd__class_Oeven'( hAPP( 'c_Suc', X ), 'tc_nat' ) ) ]
% 1.34/1.70 ,
% 1.34/1.70 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( 'c_Suc', X ), 'tc_nat' ),
% 1.34/1.70 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.34/1.70 [ 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', X ), hAPP( 'c_Suc', Y ),
% 1.34/1.70 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.34/1.70 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.34/1.70 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', X ), hAPP( 'c_Suc', Y ),
% 1.34/1.70 'tc_nat' ) ) ],
% 1.34/1.70 [ 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', X ), hAPP( 'c_Suc', Y ),
% 1.34/1.70 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ) ],
% 1.34/1.70 [ =( 'c_Int_OBit1'( 'c_Int_OMin' ), 'c_Int_OMin' ) ],
% 1.34/1.70 [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OMin' ) ), =( X, 'c_Int_OMin' ) ]
% 1.34/1.70 ,
% 1.34/1.70 [ ~( =( 'c_Int_OMin', 'c_Int_OBit1'( X ) ) ), =( 'c_Int_OMin', X ) ]
% 1.34/1.70 ,
% 1.34/1.70 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OBit1'( Y ),
% 1.34/1.70 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ) ) ]
% 1.34/1.70 ,
% 1.34/1.70 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ), ~(
% 1.34/1.70 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OBit1'( Y ),
% 1.34/1.70 'tc_Int_Oint' ) ) ],
% 1.34/1.70 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), hAPP(
% 1.34/1.70 'c_Suc', hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'(
% 1.34/1.70 'tc_nat' ) ) ), Y ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ]
% 1.34/1.70 ,
% 1.34/1.70 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc'
% 1.34/1.70 , hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ),
% 1.34/1.70 'c_Divides_Odiv__class_Odiv'( X, hAPP( 'c_Suc', hAPP( 'c_Suc',
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat' ) ), X ), ~(
% 1.34/1.70 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.34/1.70 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.34/1.70 X, 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.34/1.70 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), hAPP( 'c_Suc',
% 1.34/1.70 'c_Divides_Odiv__class_Odiv'( Y, X, 'tc_nat' ) ) ), 'tc_nat' ) ],
% 1.34/1.70 [ =( hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' )
% 1.34/1.70 , hAPP( 'c_Suc', hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 1.34/1.70 ) ), 'c_Divides_Odiv__class_Odiv'( X, hAPP( 'c_Suc', hAPP( 'c_Suc',
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'tc_nat' ) ) ), X ),
% 1.34/1.70 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.34/1.70 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.34/1.70 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ),
% 1.34/1.70 'c_Divides_Odiv__class_Omod'( Y, Z, 'tc_nat' ) ) ), T ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ), 'tc_nat' ), ~(
% 1.34/1.70 'c_HOL_Oord__class_Oless'( T, X, 'tc_nat' ) ), ~(
% 1.34/1.70 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 1.34/1.70 'tc_nat' ) ) ],
% 1.34/1.70 [ ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ), =( Y,
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( hBOOL( hAPP( Z,
% 1.34/1.70 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.34/1.70 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), T
% 1.34/1.70 ) ), X ), Y, 'tc_nat' ) ) ) ), hBOOL( hAPP( Z, X ) ) ],
% 1.34/1.70 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.34/1.70 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'(
% 1.34/1.70 'tc_nat' ) ) ), Y ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ]
% 1.34/1.70 ,
% 1.34/1.70 [ ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ) ), =( Y,
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( hBOOL( hAPP( Z,
% 1.34/1.70 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.34/1.70 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), T
% 1.34/1.70 ) ), X ), Y, 'tc_nat' ) ) ) ), hBOOL( hAPP( Z, T ) ) ],
% 1.34/1.70 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.34/1.70 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ),
% 1.34/1.70 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ) ),
% 1.34/1.70 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X,
% 1.34/1.70 'c_Int_OPls', 'tc_Int_Oint' ) ) ],
% 1.34/1.70 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.34/1.70 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ) ),
% 1.34/1.70 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'(
% 1.34/1.70 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Int_OPls',
% 1.34/1.70 'tc_Int_Oint' ) ) ],
% 1.34/1.70 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.34/1.70 'c_Divides_Odiv__class_Odiv'( X, 'c_Int_Onumber__class_Onumber__of'(
% 1.34/1.70 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ),
% 1.34/1.70 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 1.34/1.70 'tc_nat' ), X, 'tc_nat' ) ) ],
% 1.34/1.70 [ ~( =( 'c_Divides_Odiv__class_Omod'( X,
% 1.34/1.70 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.70 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ), 'c_HOL_Oone__class_Oone'(
% 1.34/1.70 'tc_nat' ) ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.70 'tc_nat' ), 'c_Divides_Odiv__class_Omod'( X,
% 1.34/1.70 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.70 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ), 'tc_nat' ) ],
% 1.34/1.70 [ =( 'c_Divides_Odiv__class_Omod'( X, 'c_Int_Onumber__class_Onumber__of'(
% 1.34/1.70 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ),
% 1.34/1.70 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Divides_Odiv__class_Omod'( X,
% 1.34/1.70 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.70 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ), 'tc_nat' ) ) ],
% 1.34/1.70 [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP(
% 1.34/1.70 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'(
% 1.34/1.70 'tc_nat' ) ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.34/1.70 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ),
% 1.34/1.70 'c_Divides_Odiv__class_Odiv'( X, 'c_Int_Onumber__class_Onumber__of'(
% 1.34/1.70 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ) )
% 1.34/1.70 , ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.34/1.70 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_Series_Osums'(
% 1.34/1.70 'c_COMBB'( Y, 'c_COMBC'( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z,
% 1.34/1.70 'tc_nat', 'tc_nat', 'tc_nat' ), 'tc_nat', X, 'tc_nat' ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Ominus__class_Ominus'( X ), T ), 'c_Finite__Set_Osetsum'( Y,
% 1.34/1.70 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.70 'tc_nat' ), Z, 'tc_nat' ), 'tc_nat', X ) ), X ), ~( 'c_Series_Osums'( Y,
% 1.34/1.70 T, X ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.34/1.70 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.34/1.70 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ) ), ~(
% 1.34/1.70 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.34/1.70 ,
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.34/1.70 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.34/1.70 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.34/1.70 , ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.34/1.70 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.34/1.70 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.34/1.70 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ), ~(
% 1.34/1.70 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 1.34/1.70 ,
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.34/1.70 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.34/1.70 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.34/1.70 , ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.34/1.70 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.34/1.70 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.34/1.70 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.34/1.70 , ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.34/1.70 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.34/1.70 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.34/1.70 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 1.34/1.70 , ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.34/1.70 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.34/1.70 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.34/1.70 , ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.34/1.70 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.34/1.70 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.34/1.70 , ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.34/1.70 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.34/1.70 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.34/1.70 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X )
% 1.34/1.70 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.34/1.70 , ~( 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.34/1.70 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.34/1.70 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X )
% 1.34/1.70 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) )
% 1.34/1.70 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.34/1.70 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.34/1.70 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X )
% 1.34/1.70 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.34/1.70 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.34/1.70 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X )
% 1.34/1.70 , ~( 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.34/1.70 Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.34/1.70 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.34/1.70 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.34/1.70 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 1.34/1.70 , ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.34/1.70 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~(
% 1.34/1.70 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.34/1.70 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.34/1.70 ,
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.34/1.70 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~(
% 1.34/1.70 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.34/1.70 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.34/1.70 ,
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.34/1.70 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.34/1.70 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.34/1.70 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ), X ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.34/1.70 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.34/1.70 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.34/1.70 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ) ) ],
% 1.34/1.70 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.34/1.70 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.34/1.70 ), Y ), Z ), Y, X ), Z ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.34/1.70 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.34/1.70 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.34/1.70 ), Y ), Z ), Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.34/1.70 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.34/1.70 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.34/1.70 ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z )
% 1.34/1.70 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.34/1.70 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.34/1.70 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.70 X ), X ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.34/1.70 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.34/1.70 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.70 X ), X ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.34/1.70 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.34/1.70 Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.34/1.70 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.70 X ), X ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.34/1.70 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.34/1.70 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.34/1.70 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.70 X ), X ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.34/1.70 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.34/1.70 , Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.34/1.70 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.34/1.70 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.34/1.70 ,
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.34/1.70 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.34/1.70 , Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.34/1.70 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.34/1.70 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.34/1.70 ,
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.34/1.70 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.34/1.70 , Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.34/1.70 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.34/1.70 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 1.34/1.70 ,
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ), 'c_lessequals'( hAPP(
% 1.34/1.70 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), ~( 'c_lessequals'(
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Z, T, X ) )
% 1.34/1.70 ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'( hAPP(
% 1.34/1.70 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), ~( 'c_lessequals'(
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Z, T, X ) )
% 1.34/1.70 ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'( hAPP(
% 1.34/1.70 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ), ~( 'c_lessequals'(
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.34/1.70 ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.34/1.70 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), ~( 'c_lessequals'( Y,
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Z, X ) ) ]
% 1.34/1.70 ,
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.34/1.70 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ), ~( 'c_lessequals'( Z,
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 1.34/1.70 ,
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.70 X ), Y ), Z ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 1.34/1.70 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.34/1.70 ,
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.70 X ), Y ), Z ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.34/1.70 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.34/1.70 ,
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.70 X ), Y ), Z ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.34/1.70 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.34/1.70 ,
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.34/1.70 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ), X ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.34/1.70 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.34/1.70 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~( 'c_lessequals'( Z,
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.34/1.70 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.34/1.70 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.70 X ), Y ), Z ), X ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.34/1.70 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.70 X ), Z ), Y ), X ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.34/1.70 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.70 X ), Y ), Z ), X ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.34/1.70 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.70 X ), Z ), Y ), X ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 1.34/1.70 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X ), ~( 'c_lessequals'(
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( Z, U, X ) )
% 1.34/1.70 , ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 1.34/1.70 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.34/1.70 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X ), ~( 'c_lessequals'(
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Z, U, X ) )
% 1.34/1.70 , ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.34/1.70 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.34/1.70 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.34/1.70 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X
% 1.34/1.70 ), 'c_Divides_Odiv__class_Odiv'( Z, T, X ) ), =( Y,
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.34/1.70 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.34/1.70 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.34/1.70 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X
% 1.34/1.70 ), 'c_Divides_Odiv__class_Odiv'( Y, T, X ) ), =( Z,
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.34/1.70 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.34/1.70 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.34/1.70 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.34/1.70 , Y ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.34/1.70 ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.34/1.70 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.34/1.70 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.34/1.70 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.34/1.70 , Z ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X )
% 1.34/1.70 ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.34/1.70 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.34/1.70 , Y ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.34/1.70 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.34/1.70 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.34/1.70 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.34/1.70 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.34/1.70 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.34/1.71 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.34/1.71 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.34/1.71 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.34/1.71 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.34/1.71 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.34/1.71 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.34/1.71 ), Y ), Z ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.34/1.71 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.34/1.71 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.34/1.71 ), Y ), Z ), Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.34/1.71 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.34/1.71 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.34/1.71 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.34/1.71 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ) ) ],
% 1.34/1.71 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.34/1.71 ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.34/1.71 ,
% 1.34/1.71 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~(
% 1.34/1.71 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.34/1.71 =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.34/1.71 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.34/1.71 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 1.34/1.71 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ), ~(
% 1.34/1.71 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.34/1.71 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.34/1.71 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 1.34/1.71 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ), ~(
% 1.34/1.71 'c_lessequals'( Y, Z, X ) ), ~( 'c_lessequals'(
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ],
% 1.34/1.71 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 1.34/1.71 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( 'c_lessequals'(
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y,
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.34/1.71 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 1.34/1.71 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( 'c_lessequals'(
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z,
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.34/1.71 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.34/1.71 ,
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.34/1.71 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.34/1.71 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.34/1.71 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.34/1.71 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.34/1.71 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.34/1.71 ,
% 1.34/1.71 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_Power_Opower_Opower'(
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), X ), Y
% 1.34/1.71 ), Z ) ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP(
% 1.34/1.71 hAPP( 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.34/1.71 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), Z ) ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.34/1.71 , Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 1.34/1.71 ,
% 1.34/1.71 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ) ) ],
% 1.34/1.71 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.34/1.71 ,
% 1.34/1.71 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.34/1.71 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.34/1.71 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.34/1.71 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.34/1.71 'c_HOL_Oplus__class_Oplus'( X ), X ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_Power_Opower_Opower'(
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), X ), Y
% 1.34/1.71 ), T ) ), hAPP( hAPP( 'c_Power_Opower_Opower'(
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), X ), Z
% 1.34/1.71 ), T ) ) ) ],
% 1.34/1.71 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.34/1.71 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.34/1.71 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ) ) ],
% 1.34/1.71 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.34/1.71 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ), ~( 'c_lessequals'(
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.34/1.71 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.34/1.71 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.34/1.71 'c_HOL_Oplus__class_Oplus'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.34/1.71 Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.34/1.71 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.34/1.71 ,
% 1.34/1.71 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.34/1.71 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.34/1.71 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ),
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.34/1.71 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.34/1.71 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ),
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.34/1.71 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OBit1'( Y ),
% 1.34/1.71 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ) ) ]
% 1.34/1.71 ,
% 1.34/1.71 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OBit1'( Y ),
% 1.34/1.71 'tc_Int_Oint' ) ) ],
% 1.34/1.71 [ =( 'c_Int_OMin', 'c_Int_OBit1'( 'c_Int_OMin' ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), hAPP( hAPP(
% 1.34/1.71 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), X ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.34/1.71 [ ~( =( 'c_Int_OPls', 'c_Int_OMin' ) ) ],
% 1.34/1.71 [ ~( =( 'c_Int_OMin', 'c_Int_OPls' ) ) ],
% 1.34/1.71 [ ~( 'c_HOL_Oord__class_Oless'( 'c_Int_OPls', 'c_Int_OPls',
% 1.34/1.71 'tc_Int_Oint' ) ) ],
% 1.34/1.71 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.34/1.71 'c_Power_Opower__class_Opower'( X ), Y ), 'c_HOL_Oone__class_Oone'(
% 1.34/1.71 'tc_nat' ) ), Y ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.34/1.71 'c_Power_Opower__class_Opower'( X ), Y ), 'c_HOL_Oone__class_Oone'(
% 1.34/1.71 'tc_nat' ) ), Y ) ],
% 1.34/1.71 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.34/1.71 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y )
% 1.34/1.71 , 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP(
% 1.34/1.71 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'(
% 1.34/1.71 X ), Y ), Z ) ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), hAPP(
% 1.34/1.71 'c_HOL_Oabs__class_Oabs'( X ), Y ) ), Z ) ) ],
% 1.34/1.71 [ ~( =( 'c_Int_OMin', 'c_Int_OBit0'( X ) ) ) ],
% 1.34/1.71 [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OMin' ) ) ],
% 1.34/1.71 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OBit0'( X ), 'c_Int_OBit0'( Y ),
% 1.34/1.71 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ) ) ]
% 1.34/1.71 ,
% 1.34/1.71 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_Int_OBit0'( X ), 'c_Int_OBit0'( Y ),
% 1.34/1.71 'tc_Int_Oint' ) ) ],
% 1.34/1.71 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OBit0'( X ), 'c_Int_OBit0'( Y ),
% 1.34/1.71 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ) ) ]
% 1.34/1.71 ,
% 1.34/1.71 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_Int_OBit0'( X ), 'c_Int_OBit0'( Y ),
% 1.34/1.71 'tc_Int_Oint' ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP(
% 1.34/1.71 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.34/1.71 X ), 'c_HOL_Oone__class_Oone'( X ) ) ), Y ), hAPP(
% 1.34/1.71 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ),
% 1.34/1.71 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP(
% 1.34/1.71 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.34/1.71 X ), 'c_HOL_Oone__class_Oone'( X ) ) ), Y ), 'c_HOL_Oone__class_Oone'( X
% 1.34/1.71 ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ) ],
% 1.34/1.71 [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP(
% 1.34/1.71 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), X, 'tc_nat' ), Y ),
% 1.34/1.71 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.34/1.71 'tc_nat' ) ) ],
% 1.34/1.71 [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP(
% 1.34/1.71 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), Y, 'tc_nat' ), X ),
% 1.34/1.71 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y,
% 1.34/1.71 'tc_nat' ) ) ],
% 1.34/1.71 [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP(
% 1.34/1.71 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ), 'tc_nat' ),
% 1.34/1.71 'c_Divides_Odiv__class_Odiv'( Y, Z, 'tc_nat' ) ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.34/1.71 'tc_nat' ) ) ],
% 1.34/1.71 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ) ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ) ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( Y, 'c_Int_OPls', 'tc_Int_Oint' ) ) ],
% 1.34/1.71 [ 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( X,
% 1.34/1.71 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), 'tc_nat' )
% 1.34/1.71 , ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ) ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_Int_OPls', Y, 'tc_Int_Oint' ) ) ],
% 1.34/1.71 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OPls', X, 'tc_Int_Oint' ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( Y, X, 'tc_Int_Oint' ) ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.34/1.71 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ), 'tc_nat' )
% 1.34/1.71 ) ],
% 1.34/1.71 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.34/1.71 'c_COMBC'( 'c_COMBB'( 'c_HOL_Oinverse__class_Odivide'( X ), Y, X,
% 1.34/1.71 'tc_fun'( X, X ), 'tc_nat' ), Z, 'tc_nat', X, X ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ), ~( 'c_SEQ_OLIMSEQ'(
% 1.34/1.71 Y, T, X ) ) ],
% 1.34/1.71 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Series_Osums'(
% 1.34/1.71 'c_COMBC'( 'c_COMBB'( 'c_HOL_Oinverse__class_Odivide'( X ), Y, X,
% 1.34/1.71 'tc_fun'( X, X ), 'tc_nat' ), Z, 'tc_nat', X, X ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ), ~( 'c_Series_Osums'(
% 1.34/1.71 Y, T, X ) ) ],
% 1.34/1.71 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Series_Osums'(
% 1.34/1.71 'c_COMBC'( 'c_COMBB'( 'c_HOL_Oinverse__class_Odivide'( X ), Y, X,
% 1.34/1.71 'tc_fun'( X, X ), 'tc_nat' ), Z, 'tc_nat', X, X ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ), ~( 'c_Series_Osums'(
% 1.34/1.71 Y, T, X ) ) ],
% 1.34/1.71 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.34/1.71 'c_HOL_Ominus__class_Ominus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.34/1.71 X ), Y ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP(
% 1.34/1.71 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ) ) ],
% 1.34/1.71 [ ~( 'class_Divides_Oring__div'( X ) ), ~( =(
% 1.34/1.71 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 1.34/1.71 , Z, X ) ) ), =( 'c_Divides_Odiv__class_Omod'( hAPP(
% 1.34/1.71 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z, X ),
% 1.34/1.71 'c_Divides_Odiv__class_Omod'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.34/1.71 T ), Z, X ) ) ],
% 1.34/1.71 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP(
% 1.34/1.71 'c_HOL_Oabs__class_Oabs'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X )
% 1.34/1.71 , Y ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ) ) ],
% 1.34/1.71 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 1.34/1.71 hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z, X ),
% 1.34/1.71 'c_Divides_Odiv__class_Omod'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.34/1.71 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ), Z, X ) ) ],
% 1.34/1.71 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.34/1.71 , hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.34/1.71 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.34/1.71 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), hAPP(
% 1.34/1.71 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 1.34/1.71 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.34/1.71 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP(
% 1.34/1.71 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), hAPP(
% 1.34/1.71 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 1.34/1.71 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.34/1.71 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 1.34/1.71 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ), ~( 'c_lessequals'( Z, Y, X
% 1.34/1.71 ) ) ],
% 1.34/1.71 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP(
% 1.34/1.71 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Ominus__class_Ominus'( X ), Z ), Y ) ) ],
% 1.34/1.71 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.34/1.71 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.34/1.71 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), Y, X ) ) ],
% 1.34/1.71 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.34/1.71 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.34/1.71 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), Y, X ) ) ],
% 1.34/1.71 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.34/1.71 Z ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, hAPP(
% 1.34/1.71 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 1.34/1.71 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.34/1.71 Z ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, hAPP(
% 1.34/1.71 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 1.34/1.71 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.34/1.71 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z, X ),
% 1.34/1.71 ~( 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), Y, X )
% 1.34/1.71 ) ],
% 1.34/1.71 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.34/1.71 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z, X ),
% 1.34/1.71 ~( 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), Y, X )
% 1.34/1.71 ) ],
% 1.34/1.71 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.34/1.71 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ),
% 1.34/1.71 ~( 'c_lessequals'( Z, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X )
% 1.34/1.71 ) ],
% 1.34/1.71 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.34/1.71 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ),
% 1.34/1.71 ~( 'c_lessequals'( Z, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X )
% 1.34/1.71 ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP( hAPP(
% 1.34/1.71 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.34/1.71 , Y ) ), 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), hAPP( hAPP(
% 1.34/1.71 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ) ), ~(
% 1.34/1.71 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.34/1.71 , 'tc_nat' ), 'tc_nat' ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), Y ), 'c_HOL_Oone__class_Oone'( X )
% 1.34/1.71 ), Y ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ) ],
% 1.34/1.71 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP(
% 1.34/1.71 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.34/1.71 , Y ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Z ) ) ) ],
% 1.34/1.71 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.34/1.71 'c_COMBS'( 'c_COMBB'( 'c_HOL_Ominus__class_Ominus'( X ), Y, X, 'tc_fun'(
% 1.34/1.71 X, X ), 'tc_nat' ), Z, 'tc_nat', X, X ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Ominus__class_Ominus'( X ), T ), U ), X ), ~( 'c_SEQ_OLIMSEQ'( Z,
% 1.34/1.71 U, X ) ), ~( 'c_SEQ_OLIMSEQ'( Y, T, X ) ) ],
% 1.34/1.71 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_Series_Osums'(
% 1.34/1.71 'c_COMBS'( 'c_COMBB'( 'c_HOL_Ominus__class_Ominus'( X ), Y, X, 'tc_fun'(
% 1.34/1.71 X, X ), 'tc_nat' ), Z, 'tc_nat', X, X ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Ominus__class_Ominus'( X ), T ), U ), X ), ~( 'c_Series_Osums'( Z
% 1.34/1.71 , U, X ) ), ~( 'c_Series_Osums'( Y, T, X ) ) ],
% 1.34/1.71 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.34/1.71 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.34/1.71 , X ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) )
% 1.34/1.71 ],
% 1.34/1.71 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.34/1.71 'tc_nat' ), Z ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.34/1.71 , Z ), Y ), 'tc_nat' ) ) ],
% 1.34/1.71 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.34/1.71 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.34/1.71 , Z ), Y ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) )
% 1.34/1.71 ],
% 1.34/1.71 [ ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.34/1.71 'tc_nat' ), X ), Y ), X, 'tc_nat' ) ) ],
% 1.34/1.71 [ ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.34/1.71 'tc_nat' ), X ), Y ), Y, 'tc_nat' ) ) ],
% 1.34/1.71 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.34/1.71 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.34/1.71 , Z ), T ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Y, T, 'tc_nat' ) )
% 1.34/1.71 , ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 1.34/1.71 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), hAPP( hAPP( Y, Z ), U ) )
% 1.34/1.71 , hAPP( hAPP( Y, Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.34/1.71 , T ), U ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( W, X, Y, V0, V1, V2
% 1.34/1.71 ) ) ],
% 1.34/1.71 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.34/1.71 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ) ) ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ), 'c_HOL_Oord__class_Oless'(
% 1.34/1.71 X, T, 'tc_nat' ) ],
% 1.34/1.71 [ ~( hBOOL( hAPP( X, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat'
% 1.34/1.71 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ), Y ) )
% 1.34/1.71 ) ), hBOOL( hAPP( X, Z ) ) ],
% 1.34/1.71 [ ~( hBOOL( hAPP( X, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat'
% 1.34/1.71 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ), Y ) )
% 1.34/1.71 ) ), hBOOL( hAPP( X, Z ) ) ],
% 1.34/1.71 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ) ],
% 1.34/1.71 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ) ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Z ) ) ],
% 1.34/1.71 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ), ~(
% 1.34/1.71 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ),
% 1.34/1.71 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ), 'tc_nat' ) ],
% 1.34/1.71 [ 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ),
% 1.34/1.71 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ),
% 1.34/1.71 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ) ],
% 1.34/1.71 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ) ), ~(
% 1.34/1.71 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ),
% 1.34/1.71 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.34/1.71 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ) ),
% 1.34/1.71 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), ~(
% 1.34/1.71 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.34/1.71 [ 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ), ~(
% 1.34/1.71 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), ~(
% 1.34/1.71 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ), 'tc_nat' ) ) ],
% 1.34/1.71 [ 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ), ~(
% 1.34/1.71 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), ~(
% 1.34/1.71 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ) ) ],
% 1.34/1.71 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ),
% 1.34/1.71 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ),
% 1.34/1.71 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.34/1.71 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), ~(
% 1.34/1.71 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), ~(
% 1.34/1.71 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.34/1.71 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ),
% 1.34/1.71 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), ~(
% 1.34/1.71 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ), 'tc_nat' ) ) ],
% 1.34/1.71 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ),
% 1.34/1.71 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), ~(
% 1.34/1.71 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ) ) ],
% 1.34/1.71 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ), ~(
% 1.34/1.71 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), ~(
% 1.34/1.71 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.34/1.71 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' ),
% 1.34/1.71 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ),
% 1.34/1.71 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.34/1.71 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.34/1.71 'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 1.34/1.71 'tc_nat' ) ) ],
% 1.34/1.71 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.34/1.71 'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z,
% 1.34/1.71 'tc_nat' ) ) ],
% 1.34/1.71 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.34/1.71 'tc_nat' ), X ), Z ), Y, 'tc_nat' ) ) ],
% 1.34/1.71 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.34/1.71 'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 1.34/1.71 'tc_nat' ) ) ],
% 1.34/1.71 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.34/1.71 'tc_nat' ), Y ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z,
% 1.34/1.71 'tc_nat' ) ) ],
% 1.34/1.71 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.34/1.71 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), X ), Y ) ],
% 1.34/1.71 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Y ), X ) ],
% 1.34/1.71 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.34/1.71 'c_COMBB'( Y, 'c_COMBC'( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z,
% 1.34/1.71 'tc_nat', 'tc_nat', 'tc_nat' ), 'tc_nat', X, 'tc_nat' ), T, X ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 1.34/1.71 'tc_nat' ) ), ~( 'c_SEQ_OLIMSEQ'( Y, T, X ) ) ],
% 1.34/1.71 [ =( 'c_Divides_Odiv__class_Omod'( X, hAPP( hAPP(
% 1.34/1.71 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ), 'tc_nat' ), hAPP(
% 1.34/1.71 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ),
% 1.34/1.71 'c_Divides_Odiv__class_Omod'( 'c_Divides_Odiv__class_Odiv'( X, Y,
% 1.34/1.71 'tc_nat' ), Z, 'tc_nat' ) ) ), 'c_Divides_Odiv__class_Omod'( X, Y,
% 1.34/1.71 'tc_nat' ) ) ) ],
% 1.34/1.71 [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP(
% 1.34/1.71 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), Z, 'tc_nat' ), hAPP(
% 1.34/1.71 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ),
% 1.34/1.71 'c_Divides_Odiv__class_Odiv'( Y, Z, 'tc_nat' ) ) ),
% 1.34/1.71 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.71 'tc_nat' ), X ), 'c_Divides_Odiv__class_Omod'( Y, Z, 'tc_nat' ) ), Z,
% 1.34/1.71 'tc_nat' ) ) ) ],
% 1.34/1.71 [ ~( =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ), =( X,
% 1.34/1.71 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.34/1.71 [ ~( =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ), =( Y,
% 1.34/1.71 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.34/1.71 [ 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ),
% 1.34/1.71 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ), ~(
% 1.34/1.71 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.34/1.71 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), X ), 'tc_nat' ) ) ],
% 1.34/1.71 [ =( 'c_Divides_Odiv__class_Odiv'( X, hAPP( hAPP(
% 1.34/1.71 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ), 'tc_nat' ),
% 1.34/1.71 'c_Divides_Odiv__class_Odiv'( 'c_Divides_Odiv__class_Odiv'( X, Y,
% 1.34/1.71 'tc_nat' ), Z, 'tc_nat' ) ) ],
% 1.34/1.71 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.34/1.71 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 'tc_nat' ), ~(
% 1.34/1.71 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.34/1.71 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.34/1.71 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 'tc_nat' ), ~(
% 1.34/1.71 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ) ],
% 1.34/1.71 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ),
% 1.34/1.71 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ) ), ~(
% 1.34/1.71 'c_Groebner__Basis_Ogb__semiring'( U, W, X, V0, V1, V2 ) ) ],
% 1.34/1.71 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.71 'tc_nat' ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.34/1.71 ), Z ), Y ), 'tc_nat' ) ) ],
% 1.34/1.71 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.71 'tc_nat' ), X ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.34/1.71 ), Y ), Z ), 'tc_nat' ) ) ],
% 1.34/1.71 [ =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'c_HOL_Oone__class_Oone'(
% 1.34/1.71 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ],
% 1.34/1.71 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.34/1.71 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), X ), X ) ],
% 1.34/1.71 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ),
% 1.34/1.71 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), X ) ],
% 1.34/1.71 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.34/1.71 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ), =( X, 'c_HOL_Oone__class_Oone'(
% 1.34/1.71 'tc_nat' ) ) ],
% 1.34/1.71 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.34/1.71 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.34/1.71 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'(
% 1.34/1.71 'c_COMBB'( Y, Z, X, X, X ), T, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.71 X ), U ), W ), X ), ~( 'c_Deriv_Oderiv'( Z, T, W, X ) ), ~(
% 1.34/1.71 'c_Deriv_Oderiv'( Y, hAPP( Z, T ), U, X ) ) ],
% 1.34/1.71 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'(
% 1.34/1.71 'c_COMBB'( Y, Z, X, X, X ), T, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.71 X ), U ), W ), X ), ~( 'c_Deriv_Oderiv'( Y, hAPP( Z, T ), U, X ) ), ~(
% 1.34/1.71 'c_Deriv_Oderiv'( Z, T, W, X ) ) ],
% 1.34/1.71 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 1.34/1.71 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBB'( hAPP(
% 1.34/1.71 'c_HOL_Otimes__class_Otimes'( X ), Z ), T, X, X, Y ), U, hAPP( hAPP(
% 1.34/1.71 'c_HOL_Otimes__class_Otimes'( X ), Z ), W ), Y, X ), ~( 'c_Lim_OLIM'( T,
% 1.34/1.71 U, W, Y, X ) ) ],
% 1.34/1.71 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'(
% 1.34/1.71 'c_COMBB'( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z, X, X, X ), T
% 1.34/1.71 , hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), U ), X ), ~(
% 1.34/1.71 'c_Deriv_Oderiv'( Z, T, U, X ) ) ],
% 1.34/1.71 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.34/1.71 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.34/1.71 , Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), T, X )
% 1.34/1.71 , 'c_Divides_Odiv__class_Omod'( Y, T, X ) ) ],
% 1.34/1.71 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.34/1.71 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.34/1.71 , Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), Z, X )
% 1.34/1.71 , 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 1.34/1.71 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.34/1.71 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.34/1.71 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Ominus__class_Ominus'( X ), Y ), T ) ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Ominus__class_Ominus'( X ), Z ), U ) ) ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Ominus__class_Ominus'( X ), Y ), T ) ), U ) ) ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Otimes__class_Otimes'( X ), T ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Ominus__class_Ominus'( X ), Z ), U ) ) ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.71 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Ominus__class_Ominus'( X ), T ), Y ) ), Z ) ), U ) ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.71 X ), T ), Z ) ), U ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.71 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.34/1.71 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.71 X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), U ) ), Z ) ), T
% 1.34/1.71 ) ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =( hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.71 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.34/1.71 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ) ) ), =( hAPP(
% 1.34/1.71 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Ominus__class_Ominus'( X ), Y ), U ) ), Z ) ), T ), W ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =( hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.71 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.34/1.71 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ) ) ), =( T, hAPP(
% 1.34/1.71 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Ominus__class_Ominus'( X ), U ), Y ) ), Z ) ), W ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.34/1.71 X ), 'c_HOL_Oone__class_Oone'( X ) ), 'c_HOL_Oone__class_Oone'( X ) ) ),
% 1.34/1.71 Y ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.71 X ), Y ), Z ) ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.34/1.71 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Oone__class_Oone'( X )
% 1.34/1.71 ) ), Z ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.34/1.71 X ), Z ), 'c_HOL_Oone__class_Oone'( X ) ) ), Y ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( 'class_Int_Onumber'( X )
% 1.34/1.71 ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.34/1.71 , X ) ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ) ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( 'class_Int_Onumber'( X )
% 1.34/1.71 ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( T, X ) ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Otimes__class_Otimes'( X ), Z ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.34/1.71 'c_Groebner__Basis_Ogb__semiring'( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.34/1.71 'c_HOL_Otimes__class_Otimes'( X ), 'c_Power_Opower__class_Opower'( X ),
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ), X ) ]
% 1.34/1.71 ,
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.71 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.34/1.71 'c_HOL_Otimes__class_Otimes'( X ), Z ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 'c_lessequals'(
% 1.34/1.71 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.71 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'( Y,
% 1.34/1.71 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.71 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.34/1.71 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'( Y,
% 1.34/1.71 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.71 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 'c_lessequals'(
% 1.34/1.71 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.71 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.34/1.71 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), Y, X ) ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.71 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.34/1.71 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.34/1.71 , X ) ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.71 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.34/1.71 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ) ), ~(
% 1.34/1.71 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z, X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.71 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.34/1.71 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z, X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.71 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.34/1.71 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.34/1.71 , X ) ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.71 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~( 'c_lessequals'(
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.34/1.71 ), X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X )
% 1.34/1.71 , X ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z, X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.71 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~( 'c_lessequals'(
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.34/1.71 ), X ) ), ~( 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.71 X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ) ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.71 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~( 'c_lessequals'(
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'(
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.34/1.71 ), X ), ~( 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.71 X ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.71 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~( 'c_lessequals'( Y,
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.34/1.71 ), X ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.34/1.71 , Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.71 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.34/1.71 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.71 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.34/1.71 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Z
% 1.34/1.71 , X ) ), T ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.71 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.34/1.71 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ), ~( 'c_lessequals'(
% 1.34/1.71 Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.71 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ),
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, hAPP( hAPP(
% 1.34/1.71 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ), ~( 'c_lessequals'(
% 1.34/1.71 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.71 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.34/1.71 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), Y, X ) ), ~(
% 1.34/1.71 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.71 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.34/1.71 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.34/1.71 ), X ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.34/1.71 X ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.71 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.34/1.71 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.71 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.34/1.71 'c_HOL_Otimes__class_Otimes'( X ), Z ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ),
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.34/1.71 ), X ), ~( 'c_lessequals'( Z, hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.71 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ),
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, hAPP( hAPP(
% 1.34/1.71 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.71 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.34/1.71 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ) ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.71 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.34/1.71 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Z
% 1.34/1.71 , X ) ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_lessequals'(
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( Z, X ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ), X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.71 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~( 'c_lessequals'(
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.34/1.71 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.71 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~( 'c_lessequals'( Y,
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, hAPP( hAPP(
% 1.34/1.71 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.71 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.34/1.71 ), X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.34/1.71 , X ), ~( 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.34/1.71 ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.71 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.34/1.71 ), X ) ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.34/1.71 ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), Y, X ) ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_lessequals'( Y,
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.34/1.71 'c_Power_Opower__class_Opower'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.71 X ), X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.34/1.71 ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.34/1.71 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ), hAPP( hAPP(
% 1.34/1.71 'c_Power_Opower__class_Opower'( X ), T ), Z ), X ), ~( 'c_lessequals'(
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.34/1.71 ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.34/1.71 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.34/1.71 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.34/1.71 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.34/1.71 ,
% 1.34/1.71 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.34/1.71 , 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.34/1.71 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.34/1.71 , 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.34/1.71 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 1.34/1.71 'c_Lattices_Oupper__semilattice__class_Osup'( Y, hAPP(
% 1.34/1.71 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.71 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.34/1.71 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.34/1.71 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.34/1.71 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ),
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.34/1.71 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.34/1.71 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ),
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.34/1.71 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.34/1.71 'c_HOL_Ominus__class_Ominus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.34/1.71 , hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ],
% 1.34/1.71 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.34/1.71 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.34/1.71 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP(
% 1.34/1.71 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 1.34/1.71 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.34/1.71 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP(
% 1.34/1.71 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ), ~( 'c_lessequals'( Y,
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.34/1.71 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.34/1.71 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.34/1.71 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) )
% 1.34/1.71 ],
% 1.34/1.71 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.34/1.71 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ),
% 1.34/1.71 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.34/1.71 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.34/1.71 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.34/1.71 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Y, X ) )
% 1.34/1.71 ],
% 1.34/1.71 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.34/1.71 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Y, X ),
% 1.34/1.71 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.34/1.71 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.34/1.71 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.34/1.71 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) )
% 1.34/1.71 ],
% 1.34/1.71 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.34/1.71 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ),
% 1.34/1.71 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.34/1.71 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.34/1.71 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.34/1.71 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Y, X ) )
% 1.34/1.71 ],
% 1.34/1.71 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.34/1.71 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Y, X ),
% 1.34/1.71 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.34/1.71 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP(
% 1.34/1.71 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ) ) ],
% 1.34/1.71 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP(
% 1.34/1.71 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.34/1.71 ,
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.34/1.71 Y ), X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.34/1.71 Y ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.34/1.71 ), X ) ) ],
% 1.34/1.71 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.34/1.71 'c_COMBB'( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z, X, X,
% 1.34/1.71 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.34/1.71 , ~( 'c_SEQ_OLIMSEQ'( Z, T, X ) ) ],
% 1.34/1.71 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_Series_Osums'(
% 1.34/1.71 'c_COMBB'( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z, X, X,
% 1.34/1.71 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.34/1.71 , ~( 'c_Series_Osums'( Z, T, X ) ) ],
% 1.34/1.71 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_Series_Osums'(
% 1.34/1.71 'c_COMBB'( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z, X, X,
% 1.34/1.71 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X )
% 1.34/1.71 , ~( 'c_Series_Osums'( Z, T, X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.34/1.71 ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.34/1.71 ), Z ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.34/1.71 ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.34/1.71 ), Z ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ), X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ), X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Y ), 'c_HOL_Oone__class_Oone'(
% 1.34/1.71 X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Y ), 'c_HOL_Oone__class_Oone'(
% 1.34/1.71 X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ) ), =( hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Y ), 'c_HOL_Oone__class_Oone'(
% 1.34/1.71 X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.34/1.71 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.34/1.71 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ), X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ), X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.34/1.71 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ), ~( 'c_lessequals'(
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.34/1.71 ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.34/1.71 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ), ~( 'c_lessequals'( Z
% 1.34/1.71 , 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) )
% 1.34/1.71 ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), 'c_HOL_Oone__class_Oone'(
% 1.34/1.71 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, Z ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.34/1.71 ), T ), Z ), Y, X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.34/1.71 ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.34/1.71 X ), T ), Z ), X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.34/1.71 X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.34/1.71 ,
% 1.34/1.71 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.34/1.71 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ), =( Y, 'c_HOL_Oone__class_Oone'(
% 1.34/1.71 'tc_nat' ) ) ],
% 1.34/1.71 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.34/1.71 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), hAPP(
% 1.34/1.71 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ) ],
% 1.34/1.71 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.34/1.71 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'(
% 1.34/1.71 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.34/1.71 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.34/1.71 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ) ), Z ),
% 1.34/1.71 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.71 'tc_nat' ), X ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.34/1.71 ), Y ), Z ), 'tc_nat' ) ) ],
% 1.34/1.71 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ),
% 1.34/1.71 'c_Divides_Odiv__class_Omod'( Y, Z, 'tc_nat' ) ),
% 1.34/1.71 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.71 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.34/1.71 ), X ), Z ), 'tc_nat' ) ) ],
% 1.34/1.71 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.34/1.71 'c_COMBB'( Y, 'c_COMBC'( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z,
% 1.34/1.71 'tc_nat', 'tc_nat', 'tc_nat' ), 'tc_nat', X, 'tc_nat' ), T, X ), ~(
% 1.34/1.71 'c_SEQ_OLIMSEQ'( Y, T, X ) ) ],
% 1.34/1.71 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_SEQ_OLIMSEQ'( Y, Z, X
% 1.34/1.71 ), ~( 'c_SEQ_OLIMSEQ'( 'c_COMBB'( Y, 'c_COMBC'(
% 1.34/1.71 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), T, 'tc_nat', 'tc_nat', 'tc_nat' )
% 1.34/1.71 , 'tc_nat', X, 'tc_nat' ), Z, X ) ) ],
% 1.34/1.71 [ =( 'c_Set_Oimage'( 'c_COMBC'( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.34/1.71 X, 'tc_nat', 'tc_nat', 'tc_nat' ),
% 1.34/1.71 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, 'tc_nat' ), 'tc_nat'
% 1.34/1.71 , 'tc_nat' ), 'c_SetInterval_Oord__class_OatLeastLessThan'( hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), X ), 'tc_nat' ) ) ],
% 1.34/1.71 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_Complex_Ocomplex' ),
% 1.34/1.71 'c_Complex_Oii' ), 'c_Complex_Oii' ), hAPP(
% 1.34/1.71 'c_HOL_Ouminus__class_Ouminus'( 'tc_Complex_Ocomplex' ),
% 1.34/1.71 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ) ) ) ],
% 1.34/1.71 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 1.34/1.71 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBC'(
% 1.34/1.71 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), Z, X, 'tc_fun'( X, X ), Y )
% 1.34/1.71 , T, Y, X, X ), U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.34/1.71 'c_Lim_OLIM'( Z, U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.34/1.71 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 1.34/1.71 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBC'(
% 1.34/1.71 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), Z, X, 'tc_fun'( X, X ), Y )
% 1.34/1.71 , T, Y, X, X ), U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.34/1.71 'c_Lim_OLIM'( Z, U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.34/1.71 , Y ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP(
% 1.34/1.71 hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.34/1.71 ,
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.34/1.71 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.34/1.71 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T
% 1.34/1.71 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.34/1.71 , X ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.34/1.71 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~(
% 1.34/1.71 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y )
% 1.34/1.71 , T ), X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.34/1.71 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.34/1.71 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ),
% 1.34/1.71 Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z,
% 1.34/1.71 X ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.34/1.71 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), T, X ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.34/1.71 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z
% 1.34/1.71 ), Y, X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.34/1.71 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.34/1.71 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.34/1.71 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ),
% 1.34/1.71 Z, X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.34/1.71 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.34/1.71 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.34/1.71 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T
% 1.34/1.71 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.34/1.71 , X ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.34/1.71 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), ~(
% 1.34/1.71 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.34/1.71 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z
% 1.34/1.71 ), X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.34/1.71 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), ~(
% 1.34/1.71 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.34/1.71 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ),
% 1.34/1.71 Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z,
% 1.34/1.71 X ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.34/1.71 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.34/1.71 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T
% 1.34/1.71 ), X ) ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.34/1.71 ), Y ), T ), Z, X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.34/1.71 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.34/1.71 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ),
% 1.34/1.71 Y, X ) ), ~( 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.71 X ), T ), Z ), X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 1.34/1.71 , hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.34/1.71 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ),
% 1.34/1.71 Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.34/1.71 T, X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.34/1.71 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), ~(
% 1.34/1.71 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z
% 1.34/1.71 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.34/1.71 , Z, X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.34/1.71 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.34/1.71 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ),
% 1.34/1.71 Z, X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.34/1.71 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), T, X ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.34/1.71 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T )
% 1.34/1.71 , Z ), X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.34/1.71 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.34/1.71 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z
% 1.34/1.71 ), X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.34/1.71 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.34/1.71 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T
% 1.34/1.71 ), Z, X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.34/1.71 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ), X ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ), ~( 'c_lessequals'( Y
% 1.34/1.71 , 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, T, X ) )
% 1.34/1.71 ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.34/1.71 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ), X ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ), ~( 'c_lessequals'(
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( T, Z, X ) )
% 1.34/1.71 ],
% 1.34/1.71 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), ~(
% 1.34/1.71 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBC'(
% 1.34/1.71 'c_COMBB'( 'c_HOL_Oinverse__class_Odivide'( X ), Z, X, 'tc_fun'( X, X ),
% 1.34/1.71 Y ), T, Y, X, X ), U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.34/1.71 'c_Lim_OLIM'( Z, U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.34/1.71 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.34/1.71 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 'c_Finite__Set_Osetsum'(
% 1.34/1.71 'c_COMBB'( 'c_HOL_Oabs__class_Oabs'( X ), Y, X, X, Z ), T, Z, X ), X ) ]
% 1.34/1.71 ,
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.34/1.71 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.34/1.71 ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Int_OPls', 'tc_Int_Oint' ) )
% 1.34/1.71 ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.34/1.71 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.34/1.71 'c_Int_OPls', 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.34/1.71 ), X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.34/1.71 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.34/1.71 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_Int_OPls', Y, 'tc_Int_Oint' ) )
% 1.34/1.71 ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.34/1.71 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_OPls'
% 1.34/1.71 , Y, 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.34/1.71 ), X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.34/1.71 'class_Int_Onumber__ring'( X ) ), =( hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.34/1.71 , 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), hAPP(
% 1.34/1.71 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.34/1.71 Y, X ) ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.34/1.71 ), X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.71 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.34/1.71 ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.34/1.71 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.34/1.71 ~( 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.71 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~( 'c_lessequals'(
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.34/1.71 ), X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X )
% 1.34/1.71 , X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 1.34/1.71 ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.71 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~( 'c_lessequals'( Y,
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.34/1.71 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.71 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.71 X ), X ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'(
% 1.34/1.71 Z, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.34/1.71 ), X ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), T ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.71 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~( 'c_lessequals'(
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'(
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.34/1.71 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.71 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X
% 1.34/1.71 ), Y, X ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'(
% 1.34/1.71 Z, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.34/1.71 ), X ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.34/1.71 X ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.71 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X
% 1.34/1.71 ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.34/1.71 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z
% 1.34/1.71 ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.71 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.34/1.71 ), X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.34/1.71 , X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.34/1.71 ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.34/1.71 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y
% 1.34/1.71 ), X ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.34/1.71 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ),
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.34/1.71 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ), =( Z,
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.34/1.71 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ), =( Z,
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.34/1.71 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.34/1.71 'c_Parity_Oeven__odd__class_Oeven'( Y, 'tc_nat' ) ), =( Y,
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_lessequals'( hAPP( hAPP(
% 1.34/1.71 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y
% 1.34/1.71 ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( hAPP( hAPP(
% 1.34/1.71 'c_Power_Opower__class_Opower'( X ), Y ), Z ), hAPP( hAPP(
% 1.34/1.71 'c_Power_Opower__class_Opower'( X ), T ), Z ) ) ), =( Y, T ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z,
% 1.34/1.71 'tc_nat' ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 1.34/1.71 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.34/1.71 ), Y ), hAPP( 'c_Suc', Z ) ), 'c_HOL_Oone__class_Oone'( X ), X ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.34/1.71 ,
% 1.34/1.71 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_Complex_Ocomplex' ),
% 1.34/1.71 'c_Complex_Oii' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.71 'tc_Complex_Ocomplex' ), 'c_Complex_Oii' ), X ) ), hAPP(
% 1.34/1.71 'c_HOL_Ouminus__class_Ouminus'( 'tc_Complex_Ocomplex' ), X ) ) ],
% 1.34/1.71 [ =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' )
% 1.34/1.71 , 'c_FFT__Mirabelle_Oroot'( X ) ), X ), 'c_HOL_Oone__class_Oone'(
% 1.34/1.71 'tc_Complex_Ocomplex' ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( 'c_Finite__Set_Osetsum'(
% 1.34/1.71 hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.34/1.71 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.71 'tc_nat' ), Z, 'tc_nat' ), 'tc_nat', X ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.34/1.71 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), 'c_HOL_Oone__class_Oone'(
% 1.34/1.71 X ) ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ),
% 1.34/1.71 'c_HOL_Oone__class_Oone'( X ) ) ) ), =( Y, 'c_HOL_Oone__class_Oone'( X )
% 1.34/1.71 ) ],
% 1.34/1.71 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.34/1.71 'c_Finite__Set_Osetsum'( 'c_COMBB'( Y, 'c_COMBC'(
% 1.34/1.71 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z, 'tc_nat', 'tc_nat', 'tc_nat' )
% 1.34/1.71 , 'tc_nat', X, 'tc_nat' ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), T, 'tc_nat' ), 'tc_nat', X ),
% 1.34/1.71 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), 'c_Finite__Set_Osetsum'( Y
% 1.34/1.71 , 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), T ), Z ), 'tc_nat' ), 'tc_nat', X
% 1.34/1.71 ) ), 'c_Finite__Set_Osetsum'( Y,
% 1.34/1.71 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.71 'tc_nat' ), Z, 'tc_nat' ), 'tc_nat', X ) ) ) ],
% 1.34/1.71 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 1.34/1.71 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBB'( hAPP(
% 1.34/1.71 'c_HOL_Otimes__class_Otimes'( X ), Z ), T, X, X, Y ), U,
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_Lim_OLIM'( T, U,
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.34/1.71 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 1.34/1.71 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBB'( hAPP(
% 1.34/1.71 'c_HOL_Otimes__class_Otimes'( X ), Z ), T, X, X, Y ), U,
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_Lim_OLIM'( T, U,
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.34/1.71 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.34/1.71 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBB'( Z,
% 1.34/1.71 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), X, Y, X ),
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), hAPP( Z, T ), X, Y ), ~( 'c_Lim_OLIM'( Z
% 1.34/1.71 , T, hAPP( Z, T ), X, Y ) ) ],
% 1.34/1.71 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.34/1.71 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( Z, T, hAPP( Z, T
% 1.34/1.71 ), X, Y ), ~( 'c_Lim_OLIM'( 'c_COMBB'( Z, hAPP(
% 1.34/1.71 'c_HOL_Oplus__class_Oplus'( X ), T ), X, Y, X ),
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), hAPP( Z, T ), X, Y ) ) ],
% 1.34/1.71 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 1.34/1.71 'class_RealVector_Oreal__normed__vector'( Y ) ), 'c_Lim_OLIM'( 'c_COMBB'(
% 1.34/1.71 Z, hAPP( 'c_HOL_Oplus__class_Oplus'( Y ), T ), Y, X, Y ),
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( Y ), U, Y, X ), ~( 'c_Lim_OLIM'( Z, T, U, Y,
% 1.34/1.71 X ) ) ],
% 1.34/1.71 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 1.34/1.71 'class_RealVector_Oreal__normed__vector'( Y ) ), 'c_Lim_OLIM'( Z, T, U, Y
% 1.34/1.71 , X ), ~( 'c_Lim_OLIM'( 'c_COMBB'( Z, hAPP( 'c_HOL_Oplus__class_Oplus'( Y
% 1.34/1.71 ), T ), Y, X, Y ), 'c_HOL_Ozero__class_Ozero'( Y ), U, Y, X ) ) ],
% 1.34/1.71 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.34/1.71 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.34/1.71 , Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), Z, X )
% 1.34/1.71 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ),
% 1.34/1.71 'c_Divides_Odiv__class_Odiv'( Y, Z, X ) ) ), =( Z,
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.34/1.71 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.34/1.71 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.34/1.71 , Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), T, X )
% 1.34/1.71 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ),
% 1.34/1.71 'c_Divides_Odiv__class_Odiv'( Y, T, X ) ) ), =( T,
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.71 X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.34/1.71 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), X
% 1.34/1.71 ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.34/1.71 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ) ) ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ) ) ), 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.34/1.71 ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.34/1.71 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.71 X ), X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.34/1.71 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.71 X ), Y ), Y ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z )
% 1.34/1.71 ), X ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.71 X ), Z ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y )
% 1.34/1.71 ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.71 X ), Y ), Y ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z )
% 1.34/1.71 ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.71 X ), Y ), Y ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z )
% 1.34/1.71 ), X ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.71 X ), Y ), Y ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z )
% 1.34/1.71 ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.34/1.71 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.34/1.71 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.34/1.71 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.71 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.34/1.71 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.34/1.71 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.34/1.71 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP(
% 1.34/1.71 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.34/1.71 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.34/1.71 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), Z ) ) ) ],
% 1.34/1.71 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.34/1.71 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.34/1.71 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP(
% 1.34/1.71 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.34/1.71 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.34/1.71 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), Z ) ), Y ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.34/1.71 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T )
% 1.34/1.71 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.34/1.71 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.34/1.71 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T )
% 1.34/1.71 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.34/1.71 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.34/1.71 X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.34/1.71 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), Z, X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.34/1.71 X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.34/1.71 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.34/1.71 X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.34/1.71 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.34/1.71 ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z
% 1.34/1.71 , hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ), X ) ) ]
% 1.34/1.71 ,
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.34/1.71 ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.34/1.71 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.34/1.71 ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.34/1.71 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), Y, X ) ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.34/1.71 ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.34/1.71 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), Y, X ) ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.34/1.71 , Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.34/1.71 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), Y, X ) ) ]
% 1.34/1.71 ,
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.34/1.71 X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.34/1.71 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.34/1.71 , Y ), T ), Z, X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.34/1.71 X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.34/1.71 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.34/1.71 , Y ), T ), Z, X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.34/1.71 ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.34/1.71 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), Y, X ) ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.34/1.71 ), T ), Z ), X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.34/1.71 ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.34/1.71 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), Y, X ) ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.34/1.71 ), T ), Z ), X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.34/1.71 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ) ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Otimes__class_Otimes'( X ), Y ), U ) ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ), =( U,
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.34/1.71 ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.34/1.71 X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.34/1.71 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), Z, X ) ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 1.34/1.71 ,
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.34/1.71 ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.34/1.71 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 1.34/1.71 ,
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.34/1.71 X ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.34/1.71 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), Z, X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.34/1.71 , Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.34/1.71 Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ) ) ]
% 1.34/1.71 ,
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.34/1.71 ), Y ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.34/1.71 Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.34/1.71 ), Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.34/1.71 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ), Z, X ) ) ]
% 1.34/1.71 ,
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.34/1.71 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.34/1.71 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.34/1.71 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T
% 1.34/1.71 ), X ) ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.34/1.71 ), Y ), T ), Z, X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.34/1.71 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), ~(
% 1.34/1.71 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.34/1.71 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ),
% 1.34/1.71 Y, X ) ), ~( 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.71 X ), T ), Z ), X ) ) ],
% 1.34/1.71 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.34/1.71 'c_lessequals'( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ),
% 1.34/1.71 ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z )
% 1.34/1.71 , 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.34/1.71 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.34/1.71 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, hAPP(
% 1.34/1.71 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.34/1.71 ,
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.34/1.71 ,
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.34/1.71 ,
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.34/1.71 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z )
% 1.34/1.71 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z,
% 1.34/1.71 X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.34/1.71 ), Y ), Z ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z )
% 1.34/1.71 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.34/1.71 X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =( hAPP(
% 1.34/1.71 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.34/1.71 , Y ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Z ) ) ), =( Z,
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ),
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( Z,
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( Y,
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ),
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~( 'c_lessequals'( Z
% 1.34/1.71 , 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.34/1.71 ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.34/1.71 ,
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.34/1.71 ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.34/1.71 ,
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.34/1.71 ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.34/1.71 ,
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.34/1.71 ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.34/1.71 ,
% 1.34/1.71 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.34/1.71 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBB'(
% 1.34/1.71 'c_HOL_Ouminus__class_Ouminus'( X ), Z, X, X, Y ), T, hAPP(
% 1.34/1.71 'c_HOL_Ouminus__class_Ouminus'( X ), U ), Y, X ), ~( 'c_Lim_OLIM'( Z, T,
% 1.34/1.71 U, Y, X ) ) ],
% 1.34/1.71 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'(
% 1.34/1.71 'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'( X ), Y, X, X, X ), Z, hAPP(
% 1.34/1.71 'c_HOL_Ouminus__class_Ouminus'( X ), T ), X ), ~( 'c_Deriv_Oderiv'( Y, Z
% 1.34/1.71 , T, X ) ) ],
% 1.34/1.71 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP(
% 1.34/1.71 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.34/1.71 X ), 'c_HOL_Oone__class_Oone'( X ) ) ), Y ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.34/1.71 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Y
% 1.34/1.71 , 'tc_nat' ), 'tc_nat' ) ), =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.34/1.71 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_lessequals'(
% 1.34/1.71 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ),
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.34/1.71 , 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.34/1.71 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ),
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.34/1.71 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.34/1.71 , 'tc_nat' ), 'tc_nat' ), =( 'c_Int_Onumber__class_Onumber__of'( Z,
% 1.34/1.71 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.34/1.71 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.34/1.71 , 'tc_nat' ), 'tc_nat' ), =( 'c_Int_Onumber__class_Onumber__of'( Z,
% 1.34/1.71 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.34/1.71 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ), X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.34/1.71 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), X ) ), ~(
% 1.34/1.71 'c_Parity_Oeven__odd__class_Oeven'( 'c_Int_Onumber__class_Onumber__of'( Y
% 1.34/1.71 , 'tc_nat' ), 'tc_nat' ) ) ],
% 1.34/1.71 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.34/1.71 'c_HOL_Ominus__class_Ominus'( X ), Y ), hAPP(
% 1.34/1.71 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) ],
% 1.34/1.71 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.34/1.71 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP(
% 1.34/1.71 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.34/1.71 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.34/1.71 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP(
% 1.34/1.71 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.34/1.71 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.34/1.71 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP(
% 1.34/1.71 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.34/1.71 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.34/1.71 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP(
% 1.34/1.71 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.34/1.71 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP(
% 1.34/1.71 'c_HOL_Oabs__class_Oabs'( X ), 'c_Finite__Set_Osetsum'( 'c_COMBB'(
% 1.34/1.71 'c_HOL_Oabs__class_Oabs'( X ), Y, X, X, Z ), T, Z, X ) ),
% 1.34/1.71 'c_Finite__Set_Osetsum'( 'c_COMBB'( 'c_HOL_Oabs__class_Oabs'( X ), Y, X,
% 1.34/1.71 X, Z ), T, Z, X ) ) ],
% 1.34/1.71 [ ~( =( hAPP( 'c_Suc', 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ) )
% 1.34/1.71 , Y ) ), =( 'c_Divides_Odiv__class_Omod'( hAPP( 'c_Suc', X ), Y, 'tc_nat'
% 1.34/1.71 ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.34/1.71 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.34/1.71 hAPP( 'c_Suc', X ), 'tc_nat' ) ],
% 1.34/1.71 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.34/1.71 hAPP( 'c_Suc', X ), 'tc_nat' ) ],
% 1.34/1.71 [ =( X, hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X
% 1.34/1.71 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.34/1.71 X, hAPP( 'c_Suc', hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 1.34/1.71 ), 'tc_nat' ) ) ],
% 1.34/1.71 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.71 'tc_nat' ) ), 'tc_nat' ) ) ],
% 1.34/1.71 [ =( 'c_Divides_Odiv__class_Odiv'( X, hAPP( 'c_Suc',
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ), X ) ],
% 1.34/1.71 [ =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), hAPP( 'c_Suc',
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.34/1.71 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.34/1.71 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ]
% 1.34/1.71 ,
% 1.34/1.71 [ =( 'c_Divides_Odiv__class_Omod'( X, hAPP( 'c_Suc',
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ),
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.34/1.71 [ ~( 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 1.34/1.71 'c_Power_Opower__class_Opower'( X ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.71 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.34/1.71 'c_Power_Opower__class_Opower'( X ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.71 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.34/1.71 [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', 'tc_nat' ),
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.34/1.71 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_Series_Osums'(
% 1.34/1.71 'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'( X ), Y, X, X, 'tc_nat' ), hAPP(
% 1.34/1.71 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ), ~( 'c_Series_Osums'( Y, Z
% 1.34/1.71 , X ) ) ],
% 1.34/1.71 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'( Y
% 1.34/1.71 , Z, X ), ~( 'c_SEQ_OLIMSEQ'( 'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.34/1.71 X ), Y, X, X, 'tc_nat' ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z )
% 1.34/1.71 , X ) ) ],
% 1.34/1.71 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.34/1.71 'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'( X ), Y, X, X, 'tc_nat' ), hAPP(
% 1.34/1.71 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ), ~( 'c_SEQ_OLIMSEQ'( Y, Z,
% 1.34/1.71 X ) ) ],
% 1.34/1.71 [ 'c_HOL_Oord__class_Oless'( X, 'c_Int_OPls', 'tc_Int_Oint' ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OPls',
% 1.34/1.71 'tc_Int_Oint' ) ) ],
% 1.34/1.71 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OPls',
% 1.34/1.71 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Int_OPls',
% 1.34/1.71 'tc_Int_Oint' ) ) ],
% 1.34/1.71 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OBit0'( Y ),
% 1.34/1.71 'tc_Int_Oint' ) ) ],
% 1.34/1.71 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OBit0'( Y ),
% 1.34/1.71 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ) ) ]
% 1.34/1.71 ,
% 1.34/1.71 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OBit0'( Y ),
% 1.34/1.71 'tc_Int_Oint' ) ) ],
% 1.34/1.71 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OBit1'( X ), 'c_Int_OBit0'( Y ),
% 1.34/1.71 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_Int_Oint' ) ) ]
% 1.34/1.71 ,
% 1.34/1.71 [ 'c_HOL_Oord__class_Oless'( X, 'c_Int_OPls', 'tc_Int_Oint' ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_Int_OBit0'( X ), 'c_Int_OPls',
% 1.34/1.71 'tc_Int_Oint' ) ) ],
% 1.34/1.71 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OBit0'( X ), 'c_Int_OPls',
% 1.34/1.71 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Int_OPls',
% 1.34/1.71 'tc_Int_Oint' ) ) ],
% 1.34/1.71 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OPls', X, 'tc_Int_Oint' ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_Int_OPls', 'c_Int_OBit0'( X ),
% 1.34/1.71 'tc_Int_Oint' ) ) ],
% 1.34/1.71 [ 'c_HOL_Oord__class_Oless'( 'c_Int_OPls', 'c_Int_OBit0'( X ),
% 1.34/1.71 'tc_Int_Oint' ), ~( 'c_HOL_Oord__class_Oless'( 'c_Int_OPls', X,
% 1.34/1.71 'tc_Int_Oint' ) ) ],
% 1.34/1.71 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), hAPP(
% 1.34/1.71 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ),
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.34/1.71 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.34/1.71 'tc_nat' ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.71 'tc_nat' ), Y, 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ), 'tc_nat' ) ) ],
% 1.34/1.71 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.34/1.71 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' )
% 1.34/1.71 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y
% 1.34/1.71 , 'tc_nat' ) ) ],
% 1.34/1.71 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.34/1.71 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), 'tc_nat' )
% 1.34/1.71 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X
% 1.34/1.71 , 'tc_nat' ) ) ],
% 1.34/1.71 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( 'c_Suc'
% 1.34/1.71 , X ) ), Y ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ),
% 1.34/1.71 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ),
% 1.34/1.71 'tc_nat' ) ) ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', 'tc_nat' ), Y, 'tc_nat'
% 1.34/1.71 ) ) ],
% 1.34/1.71 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.34/1.71 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.34/1.71 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.71 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ), 'tc_nat' ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.34/1.71 'tc_nat' ) ) ],
% 1.34/1.71 [ 'c_Parity_Oeven__odd__class_Oeven'( 'c_Divides_Odiv__class_Omod'( X,
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit0'(
% 1.34/1.71 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat' ), 'tc_nat' ), 'tc_nat' ),
% 1.34/1.71 ~( 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ) ],
% 1.34/1.71 [ 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ), ~(
% 1.34/1.71 'c_Parity_Oeven__odd__class_Oeven'( 'c_Divides_Odiv__class_Omod'( X,
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit0'(
% 1.34/1.71 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat' ), 'tc_nat' ), 'tc_nat' ) ) ]
% 1.34/1.71 ,
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP(
% 1.34/1.71 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.34/1.71 X ), Y ) ), Z ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z
% 1.34/1.71 ) ), ~( 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP(
% 1.34/1.71 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'(
% 1.34/1.71 X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), Z ) ), hAPP(
% 1.34/1.71 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'(
% 1.34/1.71 X ), Y ), Z ) ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP(
% 1.34/1.71 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.34/1.71 X ), Y ) ), Z ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.34/1.71 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ),
% 1.34/1.71 'c_Parity_Oeven__odd__class_Oeven'( Z, 'tc_nat' ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.34/1.71 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.34/1.71 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.34/1.71 ) ), Z ) ) ],
% 1.34/1.71 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.71 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.34/1.71 ), Z ), Y ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' )
% 1.34/1.71 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.34/1.71 , Y, 'tc_nat' ) ) ],
% 1.34/1.71 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.71 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.34/1.71 ), X ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' )
% 1.34/1.71 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.34/1.71 , X, 'tc_nat' ) ) ],
% 1.34/1.71 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.71 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.34/1.71 ), X ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 1.34/1.71 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.71 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.34/1.71 ), Z ), Y ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 'tc_nat' ) ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( X, Z, 'tc_nat' ) ) ],
% 1.34/1.71 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.71 'tc_nat' ), Z ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.34/1.71 ), Z ), Y ), 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ) ) ],
% 1.34/1.71 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.71 'tc_nat' ), X ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat'
% 1.34/1.71 ), X ), Z ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' )
% 1.34/1.71 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.34/1.71 , X, 'tc_nat' ) ) ],
% 1.34/1.71 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.34/1.71 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.71 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), X
% 1.34/1.71 ), 'tc_nat' ) ) ],
% 1.34/1.71 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.34/1.71 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.71 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y
% 1.34/1.71 ), 'tc_nat' ) ) ],
% 1.34/1.71 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.34/1.71 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.34/1.71 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), X ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), X ), 'tc_nat' ) ) ],
% 1.34/1.71 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.34/1.71 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.34/1.71 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ), 'tc_nat' ) ) ],
% 1.34/1.71 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.34/1.71 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.34/1.71 'tc_nat' ) ), =( Y, Z ) ],
% 1.34/1.71 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.34/1.71 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), 'tc_nat'
% 1.34/1.71 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.34/1.71 , Y, 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ) ) ],
% 1.34/1.71 [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP(
% 1.34/1.71 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.71 'tc_nat' ) ), X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Y ), 'tc_nat' ),
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.34/1.71 [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP(
% 1.34/1.71 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ), 'tc_nat' ),
% 1.34/1.71 'c_Divides_Odiv__class_Odiv'( Y, Z, 'tc_nat' ) ), =( X,
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.34/1.71 [ ~( =( X, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y
% 1.34/1.71 ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 1.34/1.71 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.34/1.71 [ =( 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 1.34/1.71 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ), X, 'tc_nat' ),
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.34/1.71 [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'(
% 1.34/1.71 'tc_nat' ) ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.34/1.71 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ), hAPP( 'c_Suc',
% 1.34/1.71 'c_Divides_Odiv__class_Odiv'( X, 'c_Int_Onumber__class_Onumber__of'(
% 1.34/1.71 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ) )
% 1.34/1.71 ), 'c_Parity_Oeven__odd__class_Oeven'( X, 'tc_nat' ) ],
% 1.34/1.71 [ =( hAPP( 'c_Suc', X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.34/1.71 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ],
% 1.34/1.71 [ =( hAPP( 'c_Suc', X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.34/1.71 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), X ) ) ],
% 1.34/1.71 [ 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Suc', hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), 'tc_nat' ) ],
% 1.34/1.71 [ 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Suc', hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ) ), 'tc_nat' ) ],
% 1.34/1.71 [ 'c_HOL_Oord__class_Oless'( X, hAPP( 'c_Suc', hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), 'tc_nat' ) ],
% 1.34/1.71 [ 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.71 'tc_nat' ), hAPP( 'c_Suc', X ) ), Y ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc', X ) ), Z ),
% 1.34/1.71 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_nat' ) ) ],
% 1.34/1.71 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.71 'tc_nat' ), hAPP( 'c_Suc', Z ) ), X ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc', Z ) ), Y ),
% 1.34/1.71 'tc_nat' ) ) ],
% 1.34/1.71 [ =( 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), Z ), Y, 'tc_nat' )
% 1.34/1.71 , 'c_Divides_Odiv__class_Omod'( Z, Y, 'tc_nat' ) ) ],
% 1.34/1.71 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP(
% 1.34/1.71 hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), T ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), U ) ) ) ), =(
% 1.34/1.71 'c_Divides_Odiv__class_Omod'( X, Y, 'tc_nat' ),
% 1.34/1.71 'c_Divides_Odiv__class_Omod'( T, Y, 'tc_nat' ) ) ],
% 1.34/1.71 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_SEQ_OLIMSEQ'( Y, Z, X
% 1.34/1.71 ), ~( 'c_SEQ_OLIMSEQ'( 'c_COMBB'( Y, 'c_Suc', 'tc_nat', X, 'tc_nat' ), Z
% 1.34/1.71 , X ) ) ],
% 1.34/1.71 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.34/1.71 'c_COMBB'( Y, 'c_Suc', 'tc_nat', X, 'tc_nat' ), Z, X ), ~(
% 1.34/1.71 'c_SEQ_OLIMSEQ'( Y, Z, X ) ) ],
% 1.34/1.71 [ =( 'c_Set_Oimage'( 'c_Suc',
% 1.34/1.71 'c_SetInterval_Oord__class_OatLeastLessThan'( X, Y, 'tc_nat' ), 'tc_nat'
% 1.34/1.71 , 'tc_nat' ), 'c_SetInterval_Oord__class_OatLeastLessThan'( hAPP( 'c_Suc'
% 1.34/1.71 , X ), hAPP( 'c_Suc', Y ), 'tc_nat' ) ) ],
% 1.34/1.71 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.34/1.71 'v_m', 'tc_nat' ) ],
% 1.34/1.71 [ =( 'c_FFT__Mirabelle_ODFT'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.71 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.34/1.71 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), X ), Y, Z ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oplus__class_Oplus'( 'tc_Complex_Ocomplex' ),
% 1.34/1.71 'c_FFT__Mirabelle_ODFT'( X, 'c_COMBB'( Y, hAPP(
% 1.34/1.71 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.71 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat'
% 1.34/1.71 ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.71 'tc_Complex_Ocomplex' ), hAPP( hAPP( 'c_Power_Opower__class_Opower'(
% 1.34/1.71 'tc_Complex_Ocomplex' ), 'c_FFT__Mirabelle_Oroot'( hAPP( hAPP(
% 1.34/1.71 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.71 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ) ), Z ) ), 'c_FFT__Mirabelle_ODFT'(
% 1.34/1.71 X, 'c_COMBB'( Y, 'c_COMBC'( 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'(
% 1.34/1.71 'tc_nat' ), hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.71 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_fun'( 'tc_nat', 'tc_nat' )
% 1.34/1.71 , 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat', 'tc_nat',
% 1.34/1.71 'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat' ), Z ) ) ) ) ],
% 1.34/1.71 [ =( 'c_FFT__Mirabelle_Oroot'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 1.34/1.71 , 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ) ) ],
% 1.34/1.71 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'(
% 1.34/1.71 'c_COMBS'( 'c_COMBB'( 'c_HOL_Oinverse__class_Odivide'( X ), Y, X,
% 1.34/1.71 'tc_fun'( X, X ), X ), Z, X, X, X ), T, hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Otimes__class_Otimes'( X ), U ), hAPP( Z, T ) ) ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Otimes__class_Otimes'( X ), hAPP( Y, T ) ), W ) ) ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Otimes__class_Otimes'( X ), hAPP( Z, T ) ), hAPP( Z, T ) ) ), X )
% 1.34/1.71 , =( hAPP( Z, T ), 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Deriv_Oderiv'(
% 1.34/1.71 Z, T, W, X ) ), ~( 'c_Deriv_Oderiv'( Y, T, U, X ) ) ],
% 1.34/1.71 [ =( 'c_Divides_Odiv__class_Omod'( X, 'c_Int_Onumber__class_Onumber__of'(
% 1.34/1.71 'c_Int_OBit0'( 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat'
% 1.34/1.71 ), 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'(
% 1.34/1.71 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), =(
% 1.34/1.71 'c_Divides_Odiv__class_Omod'( X, 'c_Int_Onumber__class_Onumber__of'(
% 1.34/1.71 'c_Int_OBit0'( 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat'
% 1.34/1.71 ), 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.34/1.71 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), =(
% 1.34/1.71 'c_Divides_Odiv__class_Omod'( X, 'c_Int_Onumber__class_Onumber__of'(
% 1.34/1.71 'c_Int_OBit0'( 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat'
% 1.34/1.71 ), 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), =(
% 1.34/1.71 'c_Divides_Odiv__class_Omod'( X, 'c_Int_Onumber__class_Onumber__of'(
% 1.34/1.71 'c_Int_OBit0'( 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat'
% 1.34/1.71 ), 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.34/1.71 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 1.34/1.71 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBS'(
% 1.34/1.71 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), Z, X, 'tc_fun'( X, X ), Y )
% 1.34/1.71 , T, Y, X, X ), U, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), W ), V0
% 1.34/1.71 ), Y, X ), ~( 'c_Lim_OLIM'( T, U, V0, Y, X ) ), ~( 'c_Lim_OLIM'( Z, U, W
% 1.34/1.71 , Y, X ) ) ],
% 1.34/1.71 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.34/1.71 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBS'(
% 1.34/1.71 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'( X ), Z, X, 'tc_fun'( X, X ), Y ),
% 1.34/1.71 T, Y, X, X ), U, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), W ), V0 ),
% 1.34/1.71 Y, X ), ~( 'c_Lim_OLIM'( T, U, V0, Y, X ) ), ~( 'c_Lim_OLIM'( Z, U, W, Y
% 1.34/1.71 , X ) ) ],
% 1.34/1.71 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'(
% 1.34/1.71 'c_COMBS'( 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'( X ), Y, X, 'tc_fun'( X
% 1.34/1.71 , X ), X ), Z, X, X, X ), T, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.34/1.71 , U ), W ), X ), ~( 'c_Deriv_Oderiv'( Z, T, W, X ) ), ~( 'c_Deriv_Oderiv'(
% 1.34/1.71 Y, T, U, X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.71 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.71 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.34/1.71 ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.34/1.71 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.34/1.71 ~( 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.34/1.71 , hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ) ) ]
% 1.34/1.71 ,
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.71 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.71 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.34/1.71 ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.34/1.71 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.34/1.71 ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.34/1.71 X ), T ), Z ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.71 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ),
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.34/1.71 ), X ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.71 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.34/1.71 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.34/1.71 X ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.71 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.34/1.71 ), X ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.71 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'(
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.34/1.71 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.34/1.71 ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'(
% 1.34/1.71 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.34/1.71 , X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.34/1.71 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 1.34/1.71 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( X ) )
% 1.34/1.71 ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.34/1.71 'c_Power_Opower__class_Opower'( X ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.71 'tc_nat' ) ), X ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.34/1.71 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y
% 1.34/1.71 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.34/1.71 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.34/1.71 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.34/1.71 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_Power_Opower_Opower'(
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), X ), Y
% 1.34/1.71 ), Z ) ), hAPP( hAPP( 'c_Power_Opower_Opower'(
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), X ), Y
% 1.34/1.71 ), T ) ) ) ],
% 1.34/1.71 [ ~( 'class_RealVector_Oreal__field'( X ) ), =( hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ) ), W ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.71 X ), Y ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Ominus__class_Ominus'( X ), Z ), U ) ), W ) ) ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Ominus__class_Ominus'( X ), Y ), T ) ), W ) ), U ) ) ) ],
% 1.34/1.71 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.34/1.71 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.34/1.71 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP(
% 1.34/1.71 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.34/1.71 'c_HOL_Oplus__class_Oplus'( X ), X ), hAPP( hAPP( 'c_Power_Opower_Opower'(
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), X ), Y
% 1.34/1.71 ), Z ) ), T ) ) ],
% 1.34/1.71 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( Y ), X ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.34/1.71 X ), 'c_HOL_Oone__class_Oone'( X ) ), 'c_Int_Onumber__class_Onumber__of'(
% 1.34/1.71 Y, X ) ) ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ],
% 1.34/1.71 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.34/1.71 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.34/1.71 'c_Int_OMin', X ) ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.34/1.71 ) ],
% 1.34/1.71 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.34/1.71 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ) ), hAPP(
% 1.34/1.71 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), =( hAPP( hAPP(
% 1.34/1.71 'c_HOL_Otimes__class_Otimes'( X ), 'c_Finite__Set_Osetsum'( Y, Z, T, X )
% 1.34/1.71 ), U ), 'c_Finite__Set_Osetsum'( 'c_COMBC'( 'c_COMBB'(
% 1.34/1.71 'c_HOL_Otimes__class_Otimes'( X ), Y, X, 'tc_fun'( X, X ), T ), U, T, X,
% 1.34/1.71 X ), Z, T, X ) ) ],
% 1.34/1.71 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.34/1.71 'c_HOL_Otimes__class_Otimes'( X ), 'c_Finite__Set_Osetsum'( Y, Z, T, X )
% 1.34/1.71 ), U ), 'c_Finite__Set_Osetsum'( 'c_COMBC'( 'c_COMBB'(
% 1.34/1.71 'c_HOL_Otimes__class_Otimes'( X ), Y, X, 'tc_fun'( X, X ), T ), U, T, X,
% 1.34/1.71 X ), Z, T, X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.34/1.71 Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.34/1.71 ~( 'c_lessequals'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.34/1.71 hAPP( 'c_Suc', T ) ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Z
% 1.34/1.71 ), hAPP( 'c_Suc', T ) ), X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( hAPP( hAPP(
% 1.34/1.71 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP(
% 1.34/1.71 hAPP( 'c_Power_Opower__class_Opower'( X ), T ), hAPP( 'c_Suc', Z ) ) ) )
% 1.34/1.71 , =( Y, T ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) )
% 1.34/1.71 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_lessequals'( Y,
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.34/1.71 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ),
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.34/1.71 ), Y ), 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ),
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.71 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.71 'c_Int_OPls' ) ), X ) ), X ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), =( hAPP( hAPP(
% 1.34/1.71 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.34/1.71 X ), Y ) ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.34/1.71 hAPP( 'c_Power_Opower__class_Opower'( X ), hAPP(
% 1.34/1.71 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ), Z
% 1.34/1.71 ) ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ]
% 1.34/1.71 ,
% 1.34/1.71 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ),
% 1.34/1.71 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.34/1.71 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oone__class_Oone'( X )
% 1.34/1.71 , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X )
% 1.34/1.71 ) ],
% 1.34/1.71 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.34/1.71 'c_Finite__Set_Osetsum'( 'c_COMBS'( 'c_COMBB'(
% 1.34/1.71 'c_HOL_Ominus__class_Ominus'( X ), Y, X, 'tc_fun'( X, X ), Z ), T, Z, X,
% 1.34/1.71 X ), U, Z, X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ),
% 1.34/1.71 'c_Finite__Set_Osetsum'( Y, U, Z, X ) ), 'c_Finite__Set_Osetsum'( T, U, Z
% 1.34/1.71 , X ) ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.34/1.71 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.71 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP(
% 1.34/1.71 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.71 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.71 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ) ), hAPP(
% 1.34/1.71 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), 'c_Finite__Set_Osetsum'( Y, Z, T, X
% 1.34/1.71 ) ), U ), 'c_Finite__Set_Osetsum'( 'c_COMBC'( 'c_COMBB'(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), Y, X, 'tc_fun'( X, X ), T ), U, T,
% 1.34/1.71 X, X ), Z, T, X ) ) ],
% 1.34/1.71 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), 'c_Finite__Set_Osetsum'( Y, Z, T, X
% 1.34/1.71 ) ), U ), 'c_Finite__Set_Osetsum'( 'c_COMBC'( 'c_COMBB'(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), Y, X, 'tc_fun'( X, X ), T ), U, T,
% 1.34/1.71 X, X ), Z, T, X ) ) ],
% 1.34/1.71 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.34/1.71 'c_COMBS'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), Y, X, 'tc_fun'(
% 1.34/1.71 X, X ), 'tc_nat' ), Z, 'tc_nat', X, X ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X ), ~( 'c_SEQ_OLIMSEQ'( Z,
% 1.34/1.71 U, X ) ), ~( 'c_SEQ_OLIMSEQ'( Y, T, X ) ) ],
% 1.34/1.71 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_Series_Osums'(
% 1.34/1.71 'c_COMBS'( 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'( X ), Y, X, 'tc_fun'( X
% 1.34/1.71 , X ), 'tc_nat' ), Z, 'tc_nat', X, X ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~( 'c_Series_Osums'( Z, U
% 1.34/1.71 , X ) ), ~( 'c_Series_Osums'( Y, T, X ) ) ],
% 1.34/1.71 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.34/1.71 'c_COMBS'( 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'( X ), Y, X, 'tc_fun'( X
% 1.34/1.71 , X ), 'tc_nat' ), Z, 'tc_nat', X, X ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~( 'c_SEQ_OLIMSEQ'( Z, U
% 1.34/1.71 , X ) ), ~( 'c_SEQ_OLIMSEQ'( Y, T, X ) ) ],
% 1.34/1.71 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.71 'tc_nat' ), Y ), X ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.34/1.71 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Y, 'tc_nat' ) ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.71 'tc_nat' ) ), X, 'tc_nat' ) ) ],
% 1.34/1.71 [ 'c_HOL_Oord__class_Oless'( X, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.71 'tc_nat' ), X ), Y ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.34/1.71 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Y, 'tc_nat' ) ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.71 'tc_nat' ) ), X, 'tc_nat' ) ) ],
% 1.34/1.71 [ 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.71 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ),
% 1.34/1.71 Y ), 'tc_nat' ), ~( 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc',
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X, 'tc_nat' ) ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.71 'tc_nat' ) ), Y, 'tc_nat' ) ) ],
% 1.34/1.71 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.34/1.71 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc', hAPP( 'c_Suc',
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), X ), 'tc_nat' ) ],
% 1.34/1.71 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( hAPP( 'c_Suc', hAPP( hAPP(
% 1.34/1.71 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc', hAPP( 'c_Suc',
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), X ) ), 'tc_nat' ) ) ],
% 1.34/1.71 [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ),
% 1.34/1.71 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.34/1.71 [ =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ),
% 1.34/1.71 'tc_nat' ) ) ],
% 1.34/1.71 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ) ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ) ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( Y, 'c_Int_OPls', 'tc_Int_Oint' ) ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( X, 'c_Int_OPls', 'tc_Int_Oint' ) ],
% 1.34/1.71 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ) ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( X, 'c_Int_OPls', 'tc_Int_Oint' ) ) ],
% 1.34/1.71 [ =( 'c_Divides_Odiv__class_Omod'( hAPP( 'c_Suc', hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), Z ) ), Y, 'tc_nat'
% 1.34/1.71 ), 'c_Divides_Odiv__class_Omod'( hAPP( 'c_Suc', Z ), Y, 'tc_nat' ) ) ]
% 1.34/1.71 ,
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), ~(
% 1.34/1.71 'class_OrderedGroup_Omonoid__mult'( X ) ), =( 'c_Finite__Set_Osetsum'(
% 1.34/1.71 'c_COMBC'( 'c_COMBB'( 'c_HOL_Ominus__class_Ominus'( X ), 'c_COMBS'(
% 1.34/1.71 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), 'c_COMBB'( hAPP(
% 1.34/1.71 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP(
% 1.34/1.71 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ), 'tc_nat', X, 'tc_nat' ), X
% 1.34/1.71 , 'tc_fun'( X, X ), 'tc_nat' ), hAPP( 'c_Power_Opower__class_Opower'( X )
% 1.34/1.71 , Y ), 'tc_nat', X, X ), X, 'tc_fun'( X, X ), 'tc_nat' ), hAPP( hAPP(
% 1.34/1.71 'c_Power_Opower__class_Opower'( X ), Y ), T ), 'tc_nat', X, X ),
% 1.34/1.71 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.71 'tc_nat' ), T, 'tc_nat' ), 'tc_nat', X ), 'c_Finite__Set_Osetsum'(
% 1.34/1.71 'c_COMBS'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.34/1.71 'c_Power_Opower__class_Opower'( X ), Y ), X, 'tc_fun'( X, X ), 'tc_nat' )
% 1.34/1.71 , 'c_COMBS'( 'c_COMBB'( 'c_HOL_Ominus__class_Ominus'( X ), 'c_COMBB'(
% 1.34/1.71 hAPP( 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP(
% 1.34/1.71 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ), 'tc_nat', X, 'tc_nat' ), X
% 1.34/1.71 , 'tc_fun'( X, X ), 'tc_nat' ), 'c_COMBB'( hAPP(
% 1.34/1.71 'c_Power_Opower__class_Opower'( X ), Y ), hAPP(
% 1.34/1.71 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ), 'tc_nat', X, 'tc_nat' ),
% 1.34/1.71 'tc_nat', X, X ), 'tc_nat', X, X ),
% 1.34/1.71 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.71 'tc_nat' ), T, 'tc_nat' ), 'tc_nat', X ) ) ],
% 1.34/1.71 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.34/1.71 'c_Power_Opower__class_Opower'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.34/1.71 'c_Int_OMin', X ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' )
% 1.34/1.71 , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.71 'c_Int_OPls' ) ), 'tc_nat' ) ), Y ) ), 'c_HOL_Oone__class_Oone'( X ) ) ]
% 1.34/1.71 ,
% 1.34/1.71 [ =( hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' )
% 1.34/1.71 , hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.71 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ), 'c_HOL_Oone__class_Oone'( 'tc_nat'
% 1.34/1.71 ) ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.71 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.71 'tc_nat' ) ) ],
% 1.34/1.71 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.34/1.71 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.71 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ), 'tc_nat' ), 'tc_nat', X ), hAPP(
% 1.34/1.71 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_Finite__Set_Osetsum'( 'c_COMBB'(
% 1.34/1.71 Y, hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.71 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', X, 'tc_nat' ),
% 1.34/1.71 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.71 'tc_nat' ), Z, 'tc_nat' ), 'tc_nat', X ) ), 'c_Finite__Set_Osetsum'(
% 1.34/1.71 'c_COMBB'( Y, 'c_COMBC'( 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'( 'tc_nat'
% 1.34/1.71 ), hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.71 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_fun'( 'tc_nat', 'tc_nat' )
% 1.34/1.71 , 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat', 'tc_nat',
% 1.34/1.71 'tc_nat' ), 'tc_nat', X, 'tc_nat' ),
% 1.34/1.71 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.71 'tc_nat' ), Z, 'tc_nat' ), 'tc_nat', X ) ) ) ],
% 1.34/1.71 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), ~(
% 1.34/1.71 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBS'(
% 1.34/1.71 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), Z, X, 'tc_fun'( X, X ), Y )
% 1.34/1.71 , T, Y, X, X ), U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.34/1.71 'c_Lim_OLIM'( T, U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.34/1.71 'c_Lim_OLIM'( Z, U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.34/1.71 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.34/1.71 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBS'(
% 1.34/1.71 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'( X ), Z, X, 'tc_fun'( X, X ), Y ),
% 1.34/1.71 T, Y, X, X ), U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_Lim_OLIM'(
% 1.34/1.71 T, U, 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_Lim_OLIM'( Z, U,
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.34/1.71 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'(
% 1.34/1.71 'c_COMBS'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), Y, X, 'tc_fun'(
% 1.34/1.71 X, X ), X ), Z, X, X, X ), T, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.34/1.71 , hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), hAPP( Z, T ) ) ),
% 1.34/1.71 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), W ), hAPP( Y, T ) ) ), X )
% 1.34/1.71 , ~( 'c_Deriv_Oderiv'( Z, T, W, X ) ), ~( 'c_Deriv_Oderiv'( Y, T, U, X )
% 1.34/1.71 ) ],
% 1.34/1.71 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'(
% 1.34/1.71 'c_COMBS'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), Y, X, 'tc_fun'(
% 1.34/1.71 X, X ), X ), Z, X, X, X ), T, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.34/1.71 , hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( Y, T ) ), U ) ),
% 1.34/1.71 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), W ), hAPP( Z, T ) ) ), X )
% 1.34/1.71 , ~( 'c_Deriv_Oderiv'( Z, T, U, X ) ), ~( 'c_Deriv_Oderiv'( Y, T, W, X )
% 1.34/1.71 ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.71 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~( 'c_lessequals'( Y,
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, hAPP( hAPP(
% 1.34/1.71 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ), ~( 'c_lessequals'(
% 1.34/1.71 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.71 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~( 'c_lessequals'(
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.34/1.71 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ), ~( 'c_lessequals'(
% 1.34/1.71 Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.71 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~( 'c_lessequals'(
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.34/1.71 ), X ) ), ~( 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.71 X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ) ), ~(
% 1.34/1.71 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z, X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.71 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.34/1.71 ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ) ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.34/1.71 , 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z, X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.71 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.34/1.71 ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ) ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.71 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.34/1.71 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Z
% 1.34/1.71 , X ) ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( Z, X ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ), X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.71 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.34/1.71 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ) ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.34/1.71 , 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z, X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.71 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.34/1.71 hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z, X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.71 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.34/1.71 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), X ) ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.71 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.34/1.71 , 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), Y, X ) ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.34/1.71 ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.71 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.34/1.71 ), Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.71 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.34/1.71 , T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.71 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.34/1.71 ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.71 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.34/1.71 , 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), Y, X ) ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.71 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ),
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.34/1.71 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.71 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.34/1.71 'c_HOL_Otimes__class_Otimes'( X ), Z ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ),
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.34/1.71 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.71 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.34/1.71 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.71 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.34/1.71 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.34/1.71 ), X ), ~( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), T ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.71 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.34/1.71 ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.71 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.34/1.71 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Z
% 1.34/1.71 , X ) ), T ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.34/1.71 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.71 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.34/1.71 , 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z, X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.71 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.34/1.71 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.34/1.71 , X ) ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.71 'class_Int_Onumber'( X ) ), 'c_lessequals'( hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.34/1.71 ), X ) ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.34/1.71 ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), Y, X ) ), ~(
% 1.34/1.71 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.71 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.34/1.71 , 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), Y, X ) ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.71 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.34/1.71 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.34/1.71 , X ) ), Z ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.34/1.71 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.71 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.34/1.71 ), Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.34/1.71 , Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.71 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.34/1.71 , T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.34/1.71 ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.71 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.34/1.71 , 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), Y, X ) ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.34/1.71 ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z ), X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.71 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ),
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.34/1.71 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.71 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ),
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.34/1.71 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.71 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X ),
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.34/1.71 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ) ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.34/1.71 , Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.71 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.34/1.71 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.34/1.71 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y, X ) ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.34/1.71 ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.71 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.34/1.71 , Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.71 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.34/1.71 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.34/1.71 X ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.71 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), T, X ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.34/1.71 ), T ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), X ) ) ],
% 1.34/1.71 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.71 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.71 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP(
% 1.34/1.71 'c_HOL_Otimes__class_Otimes'( X ), Z ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( T, X ) ), X ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.34/1.71 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X
% 1.34/1.71 ), Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ), Z, X ) ) ],
% 1.34/1.71 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.34/1.71 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.34/1.71 X ), 'c_HOL_Oone__class_Oone'( X ) ), 'c_HOL_Oone__class_Oone'( X ) ) ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( Y, X ) ),
% 1.34/1.71 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( Y ), X ) ) ],
% 1.34/1.71 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'(
% 1.34/1.71 'c_COMBS'( 'c_COMBB'( 'c_HOL_Oinverse__class_Odivide'( X ), Y, X,
% 1.34/1.71 'tc_fun'( X, X ), X ), Z, X, X, X ), T, hAPP( hAPP(
% 1.34/1.71 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.34/1.71 'c_HOL_Otimes__class_Otimes'( X ), U ), hAPP( Z, T ) ) ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), W ), hAPP( Y, T ) ) ) ), hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), hAPP( Z, T ) ), hAPP( 'c_Suc', hAPP(
% 1.34/1.72 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ), X ), =( hAPP( Z
% 1.34/1.72 , T ), 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_Deriv_Oderiv'( Z, T, W, X
% 1.34/1.72 ) ), ~( 'c_Deriv_Oderiv'( Y, T, U, X ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), X ) ),
% 1.34/1.72 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_HOL_Oord__class_Oless'(
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), X ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.34/1.72 'class_Power_Opower'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y
% 1.34/1.72 , 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ),
% 1.34/1.72 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ),
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.34/1.72 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~( =( hAPP( Y,
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.34/1.72 ) ), 'c_Series_Osums'( Y, Z, X ), ~( 'c_Series_Osums'( 'c_COMBB'( Y,
% 1.34/1.72 'c_Suc', 'tc_nat', X, 'tc_nat' ), Z, X ) ) ],
% 1.34/1.72 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =( hAPP(
% 1.34/1.72 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 1.34/1.72 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 1.34/1.72 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 1.34/1.72 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 1.34/1.72 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), =( Y, T ) ],
% 1.34/1.72 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.72 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ), hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.72 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.34/1.72 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.72 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.34/1.72 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.34/1.72 , X ) ), Z ) ), Z ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ],
% 1.34/1.72 [ =( 'c_FFT__Mirabelle_OIDFT'( X, Y, 'v_i' ), 'c_Finite__Set_Osetsum'(
% 1.34/1.72 'c_COMBS'( 'c_COMBB'( 'c_HOL_Oinverse__class_Odivide'(
% 1.34/1.72 'tc_Complex_Ocomplex' ), Y, 'tc_Complex_Ocomplex', 'tc_fun'(
% 1.34/1.72 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ), 'tc_nat' ), 'c_COMBB'(
% 1.34/1.72 hAPP( 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ),
% 1.34/1.72 'c_FFT__Mirabelle_Oroot'( X ) ), hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.72 'tc_nat' ), 'v_i' ), 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat' ),
% 1.34/1.72 'tc_nat', 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ),
% 1.34/1.72 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.72 'tc_nat' ), X, 'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex' ) ) ],
% 1.34/1.72 [ =( 'c_FFT__Mirabelle_ODFT'( X, Y, 'v_i' ), 'c_Finite__Set_Osetsum'(
% 1.34/1.72 'c_COMBS'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( 'tc_Complex_Ocomplex'
% 1.34/1.72 ), 'c_COMBB'( hAPP( 'c_Power_Opower__class_Opower'(
% 1.34/1.72 'tc_Complex_Ocomplex' ), 'c_FFT__Mirabelle_Oroot'( X ) ), hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'v_i' ), 'tc_nat',
% 1.34/1.72 'tc_Complex_Ocomplex', 'tc_nat' ), 'tc_Complex_Ocomplex', 'tc_fun'(
% 1.34/1.72 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ), 'tc_nat' ), Y, 'tc_nat',
% 1.34/1.72 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ),
% 1.34/1.72 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.72 'tc_nat' ), X, 'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex' ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), ~(
% 1.34/1.72 'class_OrderedGroup_Omonoid__mult'( X ) ), =( 'c_Finite__Set_Osetsum'(
% 1.34/1.72 'c_COMBS'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), Y ), X, 'tc_fun'( X, X ), 'tc_nat' )
% 1.34/1.72 , 'c_COMBB'( hAPP( 'c_Power_Opower__class_Opower'( X ), Z ), hAPP(
% 1.34/1.72 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( 'c_Suc', T ) ), 'tc_nat'
% 1.34/1.72 , X, 'tc_nat' ), 'tc_nat', X, X ),
% 1.34/1.72 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.72 'tc_nat' ), hAPP( 'c_Suc', T ), 'tc_nat' ), 'tc_nat', X ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), Z ), 'c_Finite__Set_Osetsum'(
% 1.34/1.72 'c_COMBS'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), Y ), X, 'tc_fun'( X, X ), 'tc_nat' )
% 1.34/1.72 , 'c_COMBB'( hAPP( 'c_Power_Opower__class_Opower'( X ), Z ), hAPP(
% 1.34/1.72 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ), 'tc_nat', X, 'tc_nat' ),
% 1.34/1.72 'tc_nat', X, X ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( 'c_Suc', T ), 'tc_nat' ),
% 1.34/1.72 'tc_nat', X ) ) ) ],
% 1.34/1.72 [ ~( 'class_Power_Opower'( X ) ), ~(
% 1.34/1.72 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.34/1.72 'c_Finite__Set_Osetsum'( 'c_COMBS'( 'c_COMBB'(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_Power_Opower__class_Opower'(
% 1.34/1.72 X ), Y ), X, 'tc_fun'( X, X ), 'tc_nat' ), 'c_COMBB'( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), Z ), hAPP(
% 1.34/1.72 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ), 'tc_nat', X, 'tc_nat' ),
% 1.34/1.72 'tc_nat', X, X ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( 'c_Suc', T ), 'tc_nat' ),
% 1.34/1.72 'tc_nat', X ), 'c_Finite__Set_Osetsum'( 'c_COMBS'( 'c_COMBB'(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), 'c_COMBB'( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), Y ), hAPP(
% 1.34/1.72 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), T ), 'tc_nat', X, 'tc_nat' ), X
% 1.34/1.72 , 'tc_fun'( X, X ), 'tc_nat' ), hAPP( 'c_Power_Opower__class_Opower'( X )
% 1.34/1.72 , Z ), 'tc_nat', X, X ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( 'c_Suc', T ), 'tc_nat' ),
% 1.34/1.72 'tc_nat', X ) ) ],
% 1.34/1.72 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.34/1.72 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit0'(
% 1.34/1.72 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat' ), 'tc_nat' ), 'tc_nat', X )
% 1.34/1.72 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.34/1.72 X ), hAPP( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), hAPP( Y,
% 1.34/1.72 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ), hAPP( Y,
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.72 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ), hAPP( Y,
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.34/1.72 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.34/1.72 X ), 'c_HOL_Oone__class_Oone'( X ) ) ), hAPP( 'c_Suc', hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.72 'c_Int_OPls' ) ), 'tc_nat' ) ), Y ) ) ), hAPP(
% 1.34/1.72 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ]
% 1.34/1.72 ,
% 1.34/1.72 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.34/1.72 'c_Int_OMin', X ) ), hAPP( 'c_Suc', hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.72 'c_Int_OPls' ) ), 'tc_nat' ) ), Y ) ) ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OMin', X ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.72 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ), X ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.34/1.72 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.34/1.72 ), Y ), hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.72 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.34/1.72 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ),
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.34/1.72 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), hAPP( 'c_Suc', hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.72 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 'c_Power_Opower_Opower'(
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), X ),
% 1.34/1.72 hAPP( hAPP( 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), Z ) ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.72 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ) ],
% 1.34/1.72 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.72 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.34/1.72 X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.72 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.72 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.34/1.72 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), X ) ), Y ) ), Z ) ) ) ]
% 1.34/1.72 ,
% 1.34/1.72 [ 'c_Fun_Oinj__on'( 'c_COMBB'( 'c_Suc', hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.72 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_nat', 'tc_nat' ), X,
% 1.34/1.72 'tc_nat', 'tc_nat' ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.34/1.72 X ), 'c_HOL_Oone__class_Oone'( X ) ) ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.72 'c_Int_OPls' ) ), 'tc_nat' ) ), Y ) ), 'c_HOL_Oone__class_Oone'( X ) ) ]
% 1.34/1.72 ,
% 1.34/1.72 [ =( hAPP( 'c_Suc', hAPP( 'c_Suc', hAPP( hAPP(
% 1.34/1.72 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit0'(
% 1.34/1.72 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat' ) ), X ) ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.72 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit0'(
% 1.34/1.72 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat' ) ), X ) ), =( X,
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.34/1.72 [ =( hAPP( 'c_Suc', hAPP( 'c_Suc', hAPP( hAPP(
% 1.34/1.72 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.72 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ), 'c_Int_Onumber__class_Onumber__of'(
% 1.34/1.72 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ), hAPP(
% 1.34/1.72 hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.72 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.72 'tc_nat' ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.72 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.34/1.72 ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.72 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ), X ) ],
% 1.34/1.72 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.72 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ), hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( X ), X ), hAPP( hAPP( 'c_Power_Opower_Opower'(
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), X ), Y
% 1.34/1.72 ), Z ) ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.34/1.72 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.34/1.72 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.34/1.72 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.72 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.72 'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.34/1.72 ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.34/1.72 X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.72 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.72 'c_Int_OPls' ) ), 'tc_nat' ) ) ), X ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.34/1.72 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.72 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.72 'c_Int_OPls' ) ), 'tc_nat' ) ) ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.72 X ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.34/1.72 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.72 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.72 'c_Int_OPls' ) ), 'tc_nat' ) ) ), X ), =( Z, 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.72 X ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.34/1.72 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.72 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.72 'c_Int_OPls' ) ), 'tc_nat' ) ) ), X ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.34/1.72 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.72 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.72 'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ]
% 1.34/1.72 ,
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.72 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.72 'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.34/1.72 ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.72 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.72 'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.34/1.72 ],
% 1.34/1.72 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.34/1.72 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ), 'tc_nat' ), 'tc_nat', X
% 1.34/1.72 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_Finite__Set_Osetsum'(
% 1.34/1.72 'c_COMBB'( Y, 'c_COMBC'( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), T,
% 1.34/1.72 'tc_nat', 'tc_nat', 'tc_nat' ), 'tc_nat', X, 'tc_nat' ),
% 1.34/1.72 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.72 'tc_nat' ), Z, 'tc_nat' ), 'tc_nat', X ) ), 'c_Finite__Set_Osetsum'( Y,
% 1.34/1.72 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.72 'tc_nat' ), T, 'tc_nat' ), 'tc_nat', X ) ) ) ],
% 1.34/1.72 [ =( hAPP( hAPP( X, Y ), hAPP( 'c_Suc', hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.72 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ), hAPP( hAPP( T, Y ), hAPP( hAPP(
% 1.34/1.72 T, hAPP( hAPP( X, Y ), Z ) ), hAPP( hAPP( X, Y ), Z ) ) ) ), ~(
% 1.34/1.72 'c_Groebner__Basis_Ogb__semiring'( U, T, X, W, V0, V1 ) ) ],
% 1.34/1.72 [ ~( 'c_Parity_Oeven__odd__class_Oeven'( hAPP( 'c_Suc', hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.72 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ), 'tc_nat' ) ) ],
% 1.34/1.72 [ =( X, hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X
% 1.34/1.72 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.34/1.72 X, 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.72 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.34/1.72 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.72 'c_Int_OPls' ) ), 'tc_nat' ) ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.34/1.72 ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.72 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.72 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ), =( Y, Z ), ~( 'c_lessequals'(
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.72 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.34/1.72 Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.34/1.72 ~( 'c_lessequals'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.72 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.72 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.34/1.72 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.72 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.34/1.72 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X
% 1.34/1.72 ), Y ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.72 'c_Int_OPls' ) ), 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.34/1.72 ,
% 1.34/1.72 [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), =(
% 1.34/1.72 'c_Series_Osuminf'( 'c_COMBS'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X
% 1.34/1.72 ), Y, X, 'tc_fun'( X, X ), 'tc_nat' ), hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.34/1.72 'tc_nat', X, X ), X ), hAPP( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 1.34/1.72 ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.72 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.72 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.72 'c_Int_OPls' ) ), X ) ), X ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.34/1.72 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.72 'class_Int_Onumber__ring'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.72 'c_Int_OPls' ) ), X ) ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.34/1.72 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.72 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.34/1.72 ), Y ), Y ) ) ],
% 1.34/1.72 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.34/1.72 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( Z, T, U, Y, X ),
% 1.34/1.72 ~( 'c_Lim_OLIM'( W, T, U, Y, X ) ), ~( 'c_Lim_OLIM'( 'c_COMBS'( 'c_COMBB'(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( X ), Z, X, 'tc_fun'( X, X ), Y ), 'c_COMBB'(
% 1.34/1.72 'c_HOL_Ouminus__class_Ouminus'( X ), W, X, X, Y ), Y, X, X ), T,
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.34/1.72 [ =( 'c_Finite__Set_Osetsum'( 'c_COMBS'( 'c_COMBB'(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( 'tc_Complex_Ocomplex' ), 'c_COMBB'( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ),
% 1.34/1.72 'c_FFT__Mirabelle_Oroot'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.72 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.34/1.72 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), 'v_m' ) ) ), hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'v_i' ), 'tc_nat',
% 1.34/1.72 'tc_Complex_Ocomplex', 'tc_nat' ), 'tc_Complex_Ocomplex', 'tc_fun'(
% 1.34/1.72 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ), 'tc_nat' ), 'v_a',
% 1.34/1.72 'tc_nat', 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ),
% 1.34/1.72 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.72 'tc_nat' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.72 'c_Int_OPls' ) ), 'tc_nat' ) ), 'v_m' ), 'tc_nat' ), 'tc_nat',
% 1.34/1.72 'tc_Complex_Ocomplex' ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.34/1.72 'tc_Complex_Ocomplex' ), 'c_Finite__Set_Osetsum'( 'c_COMBS'( 'c_COMBB'(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( 'tc_Complex_Ocomplex' ), 'c_COMBB'( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ),
% 1.34/1.72 'c_FFT__Mirabelle_Oroot'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.72 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.34/1.72 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), 'v_m' ) ) ), 'c_COMBB'(
% 1.34/1.72 hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'v_i' ), hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.72 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_nat', 'tc_nat' ), 'tc_nat'
% 1.34/1.72 , 'tc_Complex_Ocomplex', 'tc_nat' ), 'tc_Complex_Ocomplex', 'tc_fun'(
% 1.34/1.72 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ), 'tc_nat' ), 'c_COMBB'(
% 1.34/1.72 'v_a', hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.72 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat'
% 1.34/1.72 ), 'tc_nat', 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ),
% 1.34/1.72 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.72 'tc_nat' ), 'v_m', 'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex' ) ),
% 1.34/1.72 'c_Finite__Set_Osetsum'( 'c_COMBS'( 'c_COMBB'(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( 'tc_Complex_Ocomplex' ), 'c_COMBB'( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ),
% 1.34/1.72 'c_FFT__Mirabelle_Oroot'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.72 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.34/1.72 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), 'v_m' ) ) ), 'c_COMBB'(
% 1.34/1.72 hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'v_i' ), 'c_COMBC'(
% 1.34/1.72 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.72 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_fun'( 'tc_nat', 'tc_nat' )
% 1.34/1.72 , 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat', 'tc_nat',
% 1.34/1.72 'tc_nat' ), 'tc_nat', 'tc_nat', 'tc_nat' ), 'tc_nat',
% 1.34/1.72 'tc_Complex_Ocomplex', 'tc_nat' ), 'tc_Complex_Ocomplex', 'tc_fun'(
% 1.34/1.72 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ), 'tc_nat' ), 'c_COMBB'(
% 1.34/1.72 'v_a', 'c_COMBC'( 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.72 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_fun'( 'tc_nat', 'tc_nat' )
% 1.34/1.72 , 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat', 'tc_nat',
% 1.34/1.72 'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat' ), 'tc_nat',
% 1.34/1.72 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ),
% 1.34/1.72 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.72 'tc_nat' ), 'v_m', 'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex' ) ) ) ]
% 1.34/1.72 ,
% 1.34/1.72 [ =( 'c_FFT__Mirabelle_Oroot'( 'c_Int_Onumber__class_Onumber__of'(
% 1.34/1.72 'c_Int_OBit0'( 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ) ), 'tc_nat'
% 1.34/1.72 ) ), 'c_Complex_Oii' ) ],
% 1.34/1.72 [ 'c_Parity_Oeven__odd__class_Oeven'( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.72 'c_Int_OPls' ) ), 'tc_nat' ) ), X ), 'tc_nat' ) ],
% 1.34/1.72 [ 'c_Fun_Oinj__on'( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.72 'c_Int_OPls' ) ), 'tc_nat' ) ), X, 'tc_nat', 'tc_nat' ) ],
% 1.34/1.72 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.72 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.34/1.72 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ), hAPP( hAPP( T, hAPP(
% 1.34/1.72 hAPP( X, Y ), Z ) ), hAPP( hAPP( X, Y ), Z ) ) ), ~(
% 1.34/1.72 'c_Groebner__Basis_Ogb__semiring'( U, T, X, W, V0, V1 ) ) ],
% 1.34/1.72 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.34/1.72 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'(
% 1.34/1.72 'tc_nat' ) ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.34/1.72 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ) ],
% 1.34/1.72 [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), X ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.72 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ), X ) ],
% 1.34/1.72 [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( 'c_Suc', hAPP( 'c_Suc', hAPP(
% 1.34/1.72 'c_Suc', X ) ) ), Y, 'tc_nat' ), 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.34/1.72 'c_Int_OPls' ) ), 'tc_nat' ) ), X ), Y, 'tc_nat' ) ) ],
% 1.34/1.72 [ =( 'c_Divides_Odiv__class_Odiv'( X, hAPP( 'c_Suc', hAPP( 'c_Suc', hAPP(
% 1.34/1.72 'c_Suc', Y ) ) ), 'tc_nat' ), 'c_Divides_Odiv__class_Odiv'( X, hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.34/1.72 'c_Int_OPls' ) ), 'tc_nat' ) ), Y ), 'tc_nat' ) ) ],
% 1.34/1.72 [ =( 'c_Divides_Odiv__class_Omod'( hAPP( 'c_Suc', hAPP( 'c_Suc', hAPP(
% 1.34/1.72 'c_Suc', X ) ) ), Y, 'tc_nat' ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.34/1.72 'c_Int_OPls' ) ), 'tc_nat' ) ), X ), Y, 'tc_nat' ) ) ],
% 1.34/1.72 [ =( 'c_Divides_Odiv__class_Omod'( X, hAPP( 'c_Suc', hAPP( 'c_Suc', hAPP(
% 1.34/1.72 'c_Suc', Y ) ) ), 'tc_nat' ), 'c_Divides_Odiv__class_Omod'( X, hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.34/1.72 'c_Int_OPls' ) ), 'tc_nat' ) ), Y ), 'tc_nat' ) ) ],
% 1.34/1.72 [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( 'c_Suc', hAPP( 'c_Suc', hAPP(
% 1.34/1.72 'c_Suc', X ) ) ), 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.34/1.72 'tc_nat' ), 'c_Divides_Odiv__class_Odiv'( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.34/1.72 'c_Int_OPls' ) ), 'tc_nat' ) ), X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.34/1.72 Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.34/1.72 [ =( 'c_Divides_Odiv__class_Omod'( hAPP( 'c_Suc', hAPP( 'c_Suc', hAPP(
% 1.34/1.72 'c_Suc', X ) ) ), 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.34/1.72 'tc_nat' ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.34/1.72 'c_Int_OPls' ) ), 'tc_nat' ) ), X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.34/1.72 Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP(
% 1.34/1.72 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'(
% 1.34/1.72 X ), Y ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.34/1.72 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.72 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.72 'c_Int_OPls' ) ), 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.34/1.72 , Y ) ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.72 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.72 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ],
% 1.34/1.72 [ =( 'c_Divides_Odiv__class_Omod'( hAPP( 'c_Suc', hAPP( 'c_Suc', X ) ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.72 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ), 'c_Divides_Odiv__class_Omod'( X
% 1.34/1.72 , 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.72 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ) ) ],
% 1.34/1.72 [ =( 'c_Divides_Odiv__class_Odiv'( hAPP( 'c_Suc', hAPP( 'c_Suc', X ) ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.72 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ), hAPP( 'c_Suc',
% 1.34/1.72 'c_Divides_Odiv__class_Odiv'( X, 'c_Int_Onumber__class_Onumber__of'(
% 1.34/1.72 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ) )
% 1.34/1.72 ) ],
% 1.34/1.72 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.34/1.72 'c_COMBS'( 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'( X ), Y, X, 'tc_fun'( X
% 1.34/1.72 , X ), 'tc_nat' ), 'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'( X ), Z, X,
% 1.34/1.72 X, 'tc_nat' ), 'tc_nat', X, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.34/1.72 X ), T ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), U ) ), X ), ~(
% 1.34/1.72 'c_SEQ_OLIMSEQ'( Z, U, X ) ), ~( 'c_SEQ_OLIMSEQ'( Y, T, X ) ) ],
% 1.34/1.72 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.72 'c_Int_OPls' ) ), 'tc_nat' ), 'tc_nat' ) ],
% 1.34/1.72 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.34/1.72 'c_HOL_Oone__class_Oone'( X ) ), 'c_Int_Onumber__class_Onumber__of'(
% 1.34/1.72 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), X ) ) ],
% 1.34/1.72 [ =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' )
% 1.34/1.72 , 'c_FFT__Mirabelle_Oroot'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.72 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.34/1.72 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ) ), X ), hAPP(
% 1.34/1.72 'c_HOL_Ouminus__class_Ouminus'( 'tc_Complex_Ocomplex' ),
% 1.34/1.72 'c_HOL_Oone__class_Oone'( 'tc_Complex_Ocomplex' ) ) ), ~(
% 1.34/1.72 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.34/1.72 'tc_nat' ) ) ],
% 1.34/1.72 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.34/1.72 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.34/1.72 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ) ), Y ) ) ],
% 1.34/1.72 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_Deriv_Oderiv'(
% 1.34/1.72 'c_COMBS'( 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'( X ), Y, X, 'tc_fun'( X
% 1.34/1.72 , X ), X ), 'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'( X ), Z, X, X, X )
% 1.34/1.72 , X, X, X ), T, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), U ), hAPP(
% 1.34/1.72 'c_HOL_Ouminus__class_Ouminus'( X ), W ) ), X ), ~( 'c_Deriv_Oderiv'( Z,
% 1.34/1.72 T, W, X ) ), ~( 'c_Deriv_Oderiv'( Y, T, U, X ) ) ],
% 1.34/1.72 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.34/1.72 'class_RealVector_Ometric__space'( Y ) ), 'c_Lim_OLIM'( 'c_COMBS'(
% 1.34/1.72 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'( X ), Z, X, 'tc_fun'( X, X ), Y ),
% 1.34/1.72 'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'( X ), T, X, X, Y ), Y, X, X ),
% 1.34/1.72 U, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), W ), hAPP(
% 1.34/1.72 'c_HOL_Ouminus__class_Ouminus'( X ), V0 ) ), Y, X ), ~( 'c_Lim_OLIM'( T,
% 1.34/1.72 U, V0, Y, X ) ), ~( 'c_Lim_OLIM'( Z, U, W, Y, X ) ) ],
% 1.34/1.72 [ =( 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.72 'c_Int_OPls' ) ), 'tc_nat' ) ), X ), 'tc_nat' ),
% 1.34/1.72 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oimage'( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.72 'c_Int_OPls' ) ), 'tc_nat' ) ),
% 1.34/1.72 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.72 'tc_nat' ), X, 'tc_nat' ), 'tc_nat', 'tc_nat' ), 'c_Set_Oimage'(
% 1.34/1.72 'c_COMBB'( 'c_Suc', hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.72 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_nat', 'tc_nat' ),
% 1.34/1.72 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.72 'tc_nat' ), X, 'tc_nat' ), 'tc_nat', 'tc_nat' ), 'tc_fun'( 'tc_nat',
% 1.34/1.72 'tc_bool' ) ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ), ~(
% 1.34/1.72 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ) ), hAPP(
% 1.34/1.72 hAPP( 'c_Power_Opower__class_Opower'( X ), T ), hAPP( 'c_Suc', Z ) ) ),
% 1.34/1.72 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Ominus__class_Ominus'( X ), Y ), T ) ), 'c_Finite__Set_Osetsum'(
% 1.34/1.72 'c_COMBS'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), Y ), X, 'tc_fun'( X, X ), 'tc_nat' )
% 1.34/1.72 , 'c_COMBB'( hAPP( 'c_Power_Opower__class_Opower'( X ), T ), hAPP(
% 1.34/1.72 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), 'tc_nat', X, 'tc_nat' ),
% 1.34/1.72 'tc_nat', X, X ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( 'c_Suc', Z ), 'tc_nat' ),
% 1.34/1.72 'tc_nat', X ) ) ) ],
% 1.34/1.72 [ =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' )
% 1.34/1.72 , 'c_FFT__Mirabelle_Oroot'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.72 'tc_nat' ), X ), Y ) ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.72 'tc_nat' ), X ), Z ) ), hAPP( hAPP( 'c_Power_Opower__class_Opower'(
% 1.34/1.72 'tc_Complex_Ocomplex' ), 'c_FFT__Mirabelle_Oroot'( Y ) ), Z ) ), ~(
% 1.34/1.72 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X,
% 1.34/1.72 'tc_nat' ) ) ],
% 1.34/1.72 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.34/1.72 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.34/1.72 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), U ), T ), 'tc_nat' ), 'tc_nat', X
% 1.34/1.72 ), 'c_Finite__Set_Osetsum'( 'c_COMBB'( Y, 'c_COMBC'(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), T, 'tc_nat', 'tc_nat', 'tc_nat' )
% 1.34/1.72 , 'tc_nat', X, 'tc_nat' ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.34/1.72 Z, U, 'tc_nat' ), 'tc_nat', X ) ) ],
% 1.34/1.72 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.34/1.72 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.34/1.72 Z, hAPP( 'c_Suc', T ), 'tc_nat' ), 'tc_nat', X ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( X ), 'c_Finite__Set_Osetsum'( Y,
% 1.34/1.72 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, 'tc_nat' ), 'tc_nat'
% 1.34/1.72 , X ) ), hAPP( Y, T ) ) ), 'c_HOL_Oord__class_Oless'( T, Z, 'tc_nat' ) ]
% 1.34/1.72 ,
% 1.34/1.72 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.34/1.72 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.34/1.72 Z, T, 'tc_nat' ), 'tc_nat', X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.34/1.72 X ), hAPP( Y, Z ) ), 'c_Finite__Set_Osetsum'( Y,
% 1.34/1.72 'c_SetInterval_Oord__class_OatLeastLessThan'( hAPP( 'c_Suc', Z ), T,
% 1.34/1.72 'tc_nat' ), 'tc_nat', X ) ) ), ~( 'c_HOL_Oord__class_Oless'( Z, T,
% 1.34/1.72 'tc_nat' ) ) ],
% 1.34/1.72 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.34/1.72 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.34/1.72 Z, hAPP( 'c_Suc', T ), 'tc_nat' ), 'tc_nat', X ),
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z,
% 1.34/1.72 'tc_nat' ) ) ],
% 1.34/1.72 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ) ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ), Z ) ),
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X
% 1.34/1.72 , 'c_Int_OPls', 'tc_Int_Oint' ) ) ],
% 1.34/1.72 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( X, 'tc_nat' ) ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ),
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'( X
% 1.34/1.72 , 'c_Int_OPls', 'tc_Int_Oint' ) ) ],
% 1.34/1.72 [ =( hAPP( hAPP( X, Y ), Y ), hAPP( hAPP( Z, Y ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.72 'c_Int_OPls' ) ), 'tc_nat' ) ) ), ~( 'c_Groebner__Basis_Ogb__semiring'( T
% 1.34/1.72 , X, Z, U, W, V0 ) ) ],
% 1.34/1.72 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_Series_Osums'(
% 1.34/1.72 Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( Y,
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), X ), ~( 'c_Series_Osums'(
% 1.34/1.72 'c_COMBB'( Y, 'c_Suc', 'tc_nat', X, 'tc_nat' ), Z, X ) ) ],
% 1.34/1.72 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), 'c_SEQ_OLIMSEQ'(
% 1.34/1.72 'c_COMBS'( 'c_COMBB'( 'c_HOL_Oinverse__class_Odivide'( X ), Y, X,
% 1.34/1.72 'tc_fun'( X, X ), 'tc_nat' ), Z, 'tc_nat', X, X ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ), X ), =( U,
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_SEQ_OLIMSEQ'( Z, U, X ) ), ~(
% 1.34/1.72 'c_SEQ_OLIMSEQ'( Y, T, X ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.34/1.72 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP(
% 1.34/1.72 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 1.34/1.72 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.34/1.72 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ), =( Y, Z
% 1.34/1.72 ) ],
% 1.34/1.72 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.34/1.72 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ), =( Y, Z
% 1.34/1.72 ) ],
% 1.34/1.72 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.34/1.72 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ) ) ), =( X, Z
% 1.34/1.72 ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.34/1.72 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.34/1.72 ,
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oinverse__class_Odivide'( X ), hAPP(
% 1.34/1.72 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), hAPP(
% 1.34/1.72 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), =( Z,
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.34/1.72 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) )
% 1.34/1.72 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.34/1.72 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ), T ) ), =( T,
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.34/1.72 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ), Z ) ), =( Z,
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.34/1.72 [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OBit0'( Y ) ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.34/1.72 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.72 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.34/1.72 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.34/1.72 , X ) ), Z ) ), Z ) ) ],
% 1.34/1.72 [ =( 'c_Int_OPls', 'c_Int_OBit0'( 'c_Int_OPls' ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.34/1.72 X ), Y ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.34/1.72 X ), Y ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ) ],
% 1.34/1.72 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP(
% 1.34/1.72 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP(
% 1.34/1.72 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ) ],
% 1.34/1.72 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP(
% 1.34/1.72 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP(
% 1.34/1.72 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ) ],
% 1.34/1.72 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.34/1.72 X ), Y ) ), Z ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ) ],
% 1.34/1.72 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.34/1.72 X ), Y ) ), Z ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.72 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.34/1.72 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ) ],
% 1.34/1.72 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.72 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.34/1.72 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.72 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.72 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.34/1.72 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), X ) ), Y ) ), Z ) ) ) ]
% 1.34/1.72 ,
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.34/1.72 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.72 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.34/1.72 X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ), =(
% 1.34/1.72 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), T ), Z ), =( T,
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.34/1.72 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.34/1.72 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Y ) ), =( Y,
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP(
% 1.34/1.72 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oinverse__class_Odivide'( X ), hAPP(
% 1.34/1.72 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), Z ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.34/1.72 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP(
% 1.34/1.72 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oinverse__class_Odivide'( X ), Y ), hAPP(
% 1.34/1.72 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.34/1.72 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.34/1.72 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.72 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.34/1.72 ) ) ],
% 1.34/1.72 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.34/1.72 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), hAPP(
% 1.34/1.72 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ) ],
% 1.34/1.72 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.34/1.72 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.34/1.72 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.34/1.72 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.34/1.72 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.34/1.72 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.34/1.72 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.72 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.34/1.72 ) ) ],
% 1.34/1.72 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.72 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.34/1.72 ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.34/1.72 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.34/1.72 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ) ) ],
% 1.34/1.72 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), Z ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), Z ) ) ],
% 1.34/1.72 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.34/1.72 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.72 'c_Int_OPls' ) ), 'tc_nat' ) ), X ), hAPP( 'c_Suc', hAPP( 'c_Suc', X ) )
% 1.34/1.72 ) ],
% 1.34/1.72 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.72 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( 'c_Suc', hAPP( 'c_Suc', X ) ) ) ]
% 1.34/1.72 ,
% 1.34/1.72 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.34/1.72 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, hAPP(
% 1.34/1.72 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, hAPP( 'c_Suc'
% 1.34/1.72 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.34/1.72 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.34/1.72 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X,
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.34/1.72 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.72 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.72 X ), Y ), Y ) ) ],
% 1.34/1.72 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), Z ), T ) ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), Z ), T ) ) ) ],
% 1.34/1.72 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.34/1.72 'c_Int_OPls', X ) ), Y ), Y ) ],
% 1.34/1.72 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_Int_Onumber__class_Onumber__of'(
% 1.34/1.72 'c_Int_OPls', X ) ), Y ) ],
% 1.34/1.72 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP(
% 1.34/1.72 'c_Suc', X ) ), Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' )
% 1.34/1.72 , hAPP( 'c_Suc', X ) ), Z ) ) ), =( Y, Z ) ],
% 1.34/1.72 [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.34/1.72 'c_Int_OPls' ) ), 'tc_nat' ), hAPP( 'c_Suc', hAPP( 'c_Suc', hAPP( 'c_Suc'
% 1.34/1.72 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ) ],
% 1.34/1.72 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( hAPP(
% 1.34/1.72 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ), Y ) ],
% 1.34/1.72 [ ~( =( hAPP( 'c_Suc', X ), X ) ) ],
% 1.34/1.72 [ ~( =( X, hAPP( 'c_Suc', X ) ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =( hAPP(
% 1.34/1.72 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.72 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =( hAPP(
% 1.34/1.72 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.72 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.34/1.72 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ) ), =( T, U ), =( Z,
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.34/1.72 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP(
% 1.34/1.72 hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), T ) ) ) ), =( Z, T ), =( Y
% 1.34/1.72 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.34/1.72 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.72 'tc_nat' ) ), Y ) ) ],
% 1.34/1.72 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ),
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.72 'tc_nat' ) ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.72 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.72 'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.34/1.72 =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.72 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.72 'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.34/1.72 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.34/1.72 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.34/1.72 ), Y ) ), Z ) ), Z ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.34/1.72 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y
% 1.34/1.72 ), 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.72 'tc_nat' ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.34/1.72 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.34/1.72 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.34/1.72 ), =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ),
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( X ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.34/1.72 , =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.34/1.72 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.72 'class_Int_Onumber'( X ) ), =( Y, hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =(
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.34/1.72 ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.34/1.72 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.72 'class_Int_Onumber'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y ), =(
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.34/1.72 ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~(
% 1.34/1.72 =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ),
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.34/1.72 ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.34/1.72 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.34/1.72 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.34/1.72 ), ~( =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ),
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.34/1.72 ) ) ],
% 1.34/1.72 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( hAPP(
% 1.34/1.72 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP(
% 1.34/1.72 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP(
% 1.34/1.72 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP(
% 1.34/1.72 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.34/1.72 X ), Y ) ), Z ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.34/1.72 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ) ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.34/1.72 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), Z ), T ) ) ) ],
% 1.34/1.72 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =( hAPP(
% 1.34/1.72 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 1.34/1.72 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), =( Y, Z ) ],
% 1.34/1.72 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP(
% 1.34/1.72 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 1.34/1.72 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), =( Y, Z ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ), Y ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ), Y ), Z ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.34/1.72 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y, hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), Z ) ), =( Z,
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.34/1.72 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), Z ), Y ), =( Z,
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.34/1.72 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.72 'class_Int_Onumber'( X ) ), ~( =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oinverse__class_Odivide'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.34/1.72 ) ), 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =(
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.34/1.72 ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.34/1.72 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.72 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.34/1.72 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oinverse__class_Odivide'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X
% 1.34/1.72 ) ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), T ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), U ) ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), Z ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ) ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ) ],
% 1.34/1.72 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP(
% 1.34/1.72 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.34/1.72 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.34/1.72 [ =( hAPP( 'c_Suc', hAPP( 'c_Suc', hAPP( 'c_Suc', X ) ) ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.34/1.72 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.34/1.72 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.34/1.72 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.34/1.72 ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( =( hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ),
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.34/1.72 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.72 'class_Int_Onumber'( X ) ), =( 'c_HOL_Ozero__class_Ozero'( X ), hAPP(
% 1.34/1.72 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ],
% 1.34/1.72 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), hAPP(
% 1.34/1.72 'c_Suc', Y ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 1.34/1.72 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.34/1.72 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc'
% 1.34/1.72 , X ) ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ),
% 1.34/1.72 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 1.34/1.72 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 1.34/1.72 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =( hAPP(
% 1.34/1.72 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 1.34/1.72 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =( hAPP(
% 1.34/1.72 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.34/1.72 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.34/1.72 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X,
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.34/1.72 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X,
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.34/1.72 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.34/1.72 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.34/1.72 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ),
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.34/1.72 ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.34/1.72 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.72 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.34/1.72 X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), =(
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.34/1.72 ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.34/1.72 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.72 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.34/1.72 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( Y, X ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oinverse__class_Odivide'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X
% 1.34/1.72 ) ) ) ],
% 1.34/1.72 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_Finite__Set_Osetsum'( Z, T, U
% 1.34/1.72 , X ) ), 'c_Finite__Set_Osetsum'( 'c_COMBB'( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z, X, X, U ), T, U, X ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_Finite__Set_Osetsum'( Z, T, U
% 1.34/1.72 , X ) ), 'c_Finite__Set_Osetsum'( 'c_COMBB'( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z, X, X, U ), T, U, X ) ) ],
% 1.34/1.72 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( 'c_Suc',
% 1.34/1.72 X ) ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP(
% 1.34/1.72 'c_Suc', Y ) ) ) ],
% 1.34/1.72 [ ~( =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP(
% 1.34/1.72 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( Y, hAPP(
% 1.34/1.72 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.34/1.72 [ ~( =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP(
% 1.34/1.72 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( X,
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, hAPP( 'c_Suc',
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.34/1.72 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.72 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.72 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ) ],
% 1.34/1.72 [ =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.72 'tc_nat' ) ), hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) )
% 1.34/1.72 ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.34/1.72 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.72 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ) ),
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.34/1.72 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), U ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.34/1.72 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ) )
% 1.34/1.72 , Y ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.34/1.72 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ) )
% 1.34/1.72 , Y ) ],
% 1.34/1.72 [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OBit0'( Y ) ) ), =( X, Y ) ],
% 1.34/1.72 [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OPls' ) ), =( X, 'c_Int_OPls' ) ]
% 1.34/1.72 ,
% 1.34/1.72 [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OPls' ) ) ],
% 1.34/1.72 [ =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' )
% 1.34/1.72 , 'c_FFT__Mirabelle_Oroot'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.72 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.34/1.72 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), X ) ) ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.72 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ), hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ),
% 1.34/1.72 'c_FFT__Mirabelle_Oroot'( X ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.72 'tc_nat' ), Y ), Z ) ) ) ],
% 1.34/1.72 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), ~( 'class_Int_Onumber'(
% 1.34/1.72 X ) ), =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( Y, X ) ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.72 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.72 X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ],
% 1.34/1.72 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( 'c_Suc',
% 1.34/1.72 X ) ), Y ), hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.34/1.72 'tc_nat' ), X ), Y ) ) ) ],
% 1.34/1.72 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP(
% 1.34/1.72 'c_Suc', Y ) ), hAPP( 'c_Suc', hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.34/1.72 'tc_nat' ), X ), Y ) ) ) ],
% 1.34/1.72 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.34/1.72 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.34/1.72 hAPP( 'c_Suc', Z ), hAPP( 'c_Suc', T ), 'tc_nat' ), 'tc_nat', X ),
% 1.34/1.72 'c_Finite__Set_Osetsum'( 'c_COMBB'( Y, 'c_Suc', 'tc_nat', X, 'tc_nat' ),
% 1.34/1.72 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, 'tc_nat' ), 'tc_nat'
% 1.34/1.72 , X ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.34/1.72 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), hAPP(
% 1.34/1.72 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.34/1.72 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.34/1.72 [ ~( =( 'c_Int_OPls', 'c_Int_OBit1'( X ) ) ) ],
% 1.34/1.72 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), Y ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 1.34/1.72 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.34/1.72 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ) ), =( Y
% 1.34/1.72 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, Z ) ],
% 1.34/1.72 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.34/1.72 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ), =( X
% 1.34/1.72 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y, Z ) ],
% 1.34/1.72 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.34/1.72 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ) ), =( Y
% 1.34/1.72 , Z ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.34/1.72 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.72 'class_Int_Onumber'( X ) ), =( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.34/1.72 , hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.34/1.72 , X ) ), Z ) ), Z ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.34/1.72 [ ~( =( hAPP( 'c_Suc', X ), hAPP( 'c_Suc', Y ) ) ), =( X, Y ) ],
% 1.34/1.72 [ ~( =( hAPP( 'c_Suc', X ), hAPP( 'c_Suc', Y ) ) ), =( X, Y ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.34/1.72 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.72 'class_Int_Onumber'( X ) ), =( Y, hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =(
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.34/1.72 ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.34/1.72 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.72 'class_Int_Onumber'( X ) ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.72 X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( Z, X ) ), Y ), =(
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.34/1.72 ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.34/1.72 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.34/1.72 ), Y ) ) ],
% 1.34/1.72 [ ~( =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP(
% 1.34/1.72 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( X,
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.34/1.72 [ ~( =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP(
% 1.34/1.72 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( Y, hAPP(
% 1.34/1.72 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, hAPP( 'c_Suc'
% 1.34/1.72 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.34/1.72 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ) ),
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_Int_Onumber__class_Onumber__of'(
% 1.34/1.72 Y, 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.34/1.72 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.34/1.72 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.34/1.72 ), =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ),
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.34/1.72 , 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ) ), =(
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.34/1.72 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X
% 1.34/1.72 ) ) ), =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z ) ],
% 1.34/1.72 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X
% 1.34/1.72 ) ) ), =( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ],
% 1.34/1.72 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), T ) ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ) ) ), =( Y, T ), =( X
% 1.34/1.72 , Z ) ],
% 1.34/1.72 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), T ) ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ) ) ), =( Y, T ), =( X
% 1.34/1.72 , Z ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.34/1.72 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.72 X ), Y ), U ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.34/1.72 ) ) ), =( Z, U ), =( Y, T ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.34/1.72 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.72 X ), Y ), U ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.34/1.72 ) ) ), =( Z, U ), =( Y, T ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.72 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.34/1.72 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.72 'class_Int_Onumber'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.34/1.72 , X ) ), Z ) ), Z ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), =( Z,
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ) ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.72 X ), Y ), U ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.34/1.72 ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ), =( U,
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.34/1.72 ) ],
% 1.34/1.72 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( 'c_Suc'
% 1.34/1.72 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), hAPP( 'c_Suc',
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), hAPP( 'c_Suc',
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.34/1.72 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y, hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), Z ) ), =( Z,
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.34/1.72 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), Z ), Y ), =( Z,
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.34/1.72 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.34/1.72 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.34/1.72 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.34/1.72 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.34/1.72 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.34/1.72 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.34/1.72 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ),
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.72 'tc_nat' ) ) ],
% 1.34/1.72 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.72 'tc_nat' ) ) ],
% 1.34/1.72 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.34/1.72 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.34/1.72 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.34/1.72 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.34/1.72 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.34/1.72 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.34/1.72 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =( hAPP(
% 1.34/1.72 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.34/1.72 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =( hAPP(
% 1.34/1.72 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.72 X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), ~( 'class_Int_Onumber'(
% 1.34/1.72 X ) ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( T, X ) ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.72 X ), Y ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), Z ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ) ) ],
% 1.34/1.72 [ =( hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( 'c_Suc',
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.72 'tc_nat' ) ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.72 'c_Int_OPls' ) ), 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y
% 1.34/1.72 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.34/1.72 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ),
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.34/1.72 [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', 'tc_nat' ),
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.34/1.72 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.34/1.72 ), Y ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ), Z ) ]
% 1.34/1.72 ,
% 1.34/1.72 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.34/1.72 ), Y ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), Z ) ]
% 1.34/1.72 ,
% 1.34/1.72 [ ~( =( hAPP( 'c_Suc', X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ]
% 1.34/1.72 ,
% 1.34/1.72 [ ~( =( hAPP( 'c_Suc', X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ]
% 1.34/1.72 ,
% 1.34/1.72 [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ),
% 1.34/1.72 'tc_nat' ), hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ]
% 1.34/1.72 ,
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.34/1.72 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.72 'class_Int_Onumber'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.72 X ) ) ],
% 1.34/1.72 [ =( 'c_Int_OBit0'( 'c_Int_OPls' ), 'c_Int_OPls' ) ],
% 1.34/1.72 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.34/1.72 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.34/1.72 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.72 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.34/1.72 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.72 X ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), Y ), hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.34/1.72 X ), Y ) ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP(
% 1.34/1.72 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.34/1.72 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.72 'class_Int_Onumber'( X ) ), ~( =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), =( Y, hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( T
% 1.34/1.72 , X ) ), Z ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.34/1.72 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP(
% 1.34/1.72 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.34/1.72 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), =( hAPP(
% 1.34/1.72 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.72 'c_Int_OPls' ) ), 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.72 'c_Int_OPls' ) ), 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), Z ), T ) ) ), =( Z,
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.34/1.72 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( 'c_Suc',
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), hAPP( 'c_Suc',
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.34/1.72 [ =( 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.72 'c_Int_OPls' ) ), 'tc_nat' ), hAPP( 'c_Suc', hAPP( 'c_Suc',
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( hAPP(
% 1.34/1.72 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( X ) ) ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( X ) ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.34/1.72 ,
% 1.34/1.72 [ =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', 'tc_nat' ) ) ],
% 1.34/1.72 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ozero__class_Ozero'( X
% 1.34/1.72 ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OPls', X ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.34/1.72 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oinverse__class_Odivide'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.34/1.72 ) ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.72 'c_Int_OPls' ) ), 'tc_nat' ) ) ), hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.72 'c_Int_OPls' ) ), 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.34/1.72 ,
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ), hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.72 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ) ) ), =( U,
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.34/1.72 ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), U ), hAPP(
% 1.34/1.72 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ) ), =( Z,
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( X ) ), =( U, 'c_HOL_Ozero__class_Ozero'( X )
% 1.34/1.72 ), =( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), U ), hAPP(
% 1.34/1.72 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ) ) ],
% 1.34/1.72 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), T ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.34/1.72 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.34/1.72 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.34/1.72 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP(
% 1.34/1.72 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.34/1.72 ), Z ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ) ],
% 1.34/1.72 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP(
% 1.34/1.72 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.34/1.72 ), Y ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.34/1.72 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.34/1.72 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.34/1.72 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.72 X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ) ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ) ), =( Y, hAPP(
% 1.34/1.72 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), =( Y, Z ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.34/1.72 X ) ), ~( =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) )
% 1.34/1.72 , =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.34/1.72 [ ~( =( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y )
% 1.34/1.72 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.34/1.72 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), X
% 1.34/1.72 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.34/1.72 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.34/1.72 'c_Int_OBit1'( 'c_Int_OPls' ), X ) ), Y ), Y ) ],
% 1.34/1.72 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OPls' ), X ) )
% 1.34/1.72 , Y ) ],
% 1.34/1.72 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.34/1.72 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X, hAPP(
% 1.34/1.72 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.34/1.72 [ ~( =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.34/1.72 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, hAPP(
% 1.34/1.72 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.34/1.72 [ ~( =( 'c_Int_OPls', 'c_Int_OBit0'( X ) ) ), =( 'c_Int_OPls', X ) ]
% 1.34/1.72 ,
% 1.34/1.72 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( 'c_Suc', X ) ) ) ]
% 1.34/1.72 ,
% 1.34/1.72 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), hAPP( 'c_Suc', X ) ) ) ]
% 1.34/1.72 ,
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.34/1.72 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.34/1.72 hAPP( 'c_Suc', Y ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.34/1.72 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( 'c_Suc',
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.72 'tc_nat' ) ), hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ]
% 1.34/1.72 ,
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP(
% 1.34/1.72 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oinverse__class_Odivide'( X ), Y ), hAPP(
% 1.34/1.72 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), =( Z,
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.34/1.72 X ) ), =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.72 X ), Y ), T ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z )
% 1.34/1.72 ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.34/1.72 X ) ), =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.72 X ), Y ), T ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z )
% 1.34/1.72 ) ) ],
% 1.34/1.72 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.34/1.72 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.34/1.72 X ), Y ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.72 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ), hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.72 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ) ) ],
% 1.34/1.72 [ ~( =( 'c_Int_OBit1'( X ), 'c_Int_OBit1'( Y ) ) ), =( X, Y ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), T ) ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP(
% 1.34/1.72 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 1.34/1.72 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP(
% 1.34/1.72 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), Y ) ) ],
% 1.34/1.72 [ ~( 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP(
% 1.34/1.72 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( 'c_Suc', Z ) ), hAPP(
% 1.34/1.72 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ) ],
% 1.34/1.72 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.72 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.34/1.72 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 1.34/1.72 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.34/1.72 , 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.34/1.72 ,
% 1.34/1.72 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ),
% 1.34/1.72 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Y ), X ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.34/1.72 X ), Y ) ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.34/1.72 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.72 'c_Int_OPls' ) ), 'tc_nat' ) ) ) ],
% 1.34/1.72 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.34/1.72 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.34/1.72 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.34/1.72 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.34/1.72 X ), Y ), Z ) ), T ) ) ],
% 1.34/1.72 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.34/1.72 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.34/1.72 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ) ],
% 1.34/1.72 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.34/1.72 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.34/1.72 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.34/1.72 X ), Y ), Z ) ), T ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.34/1.72 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.34/1.72 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.34/1.72 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.34/1.72 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.34/1.72 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.34/1.72 ), Y ) ) ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ],
% 1.34/1.72 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), Y ), T ) ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.34/1.72 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.34/1.72 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.34/1.72 ), ~( =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.34/1.72 ) ) ],
% 1.34/1.72 [ =( hAPP( 'c_COMBB'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) ) ) ]
% 1.34/1.72 ,
% 1.34/1.72 [ =( hAPP( 'c_COMBS'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), hAPP( Y
% 1.34/1.72 , W ) ) ) ],
% 1.34/1.72 [ =( hAPP( 'c_Suc', hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.34/1.72 ) ) ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.72 'c_Int_OPls' ) ), 'tc_nat' ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), ~( 'class_Int_Onumber'(
% 1.34/1.72 X ) ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.72 X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), Z ) ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'( Y
% 1.34/1.72 , X ) ), T ) ) ) ],
% 1.34/1.72 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), ~( =( hAPP( Y,
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.34/1.72 ) ), =( 'c_Finite__Set_Osetsum'( Y,
% 1.34/1.72 'c_SetInterval_Oord__class_OatLeastLessThan'( hAPP( 'c_Suc',
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z, 'tc_nat' ), 'tc_nat', X ),
% 1.34/1.72 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Z, 'tc_nat' ), 'tc_nat', X ) ) ]
% 1.34/1.72 ,
% 1.34/1.72 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit1'( 'c_Int_OBit1'(
% 1.34/1.72 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.72 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), Y ) ) ]
% 1.34/1.72 ,
% 1.34/1.72 [ ~( 'class_Int_Oring__char__0'( X ) ), ~( 'class_Int_Onumber__ring'( X
% 1.34/1.72 ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =( Y, Z ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.34/1.72 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oinverse__class_Odivide'( X ), hAPP(
% 1.34/1.72 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), hAPP(
% 1.34/1.72 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ],
% 1.34/1.72 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oinverse__class_Odivide'( X ), hAPP(
% 1.34/1.72 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), Z ), hAPP(
% 1.34/1.72 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ) ],
% 1.34/1.72 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.34/1.72 'c_Finite__Set_Osetsum'( 'c_COMBS'( 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'(
% 1.34/1.72 X ), Y, X, 'tc_fun'( X, X ), Z ), T, Z, X, X ), U, Z, X ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( X ), 'c_Finite__Set_Osetsum'( Y, U, Z, X ) )
% 1.34/1.72 , 'c_Finite__Set_Osetsum'( T, U, Z, X ) ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.72 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ), U ) ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.72 X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ), U )
% 1.34/1.72 ) ],
% 1.34/1.72 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), Z ), Y ) ), T ) ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ), Y ) ), T ) ) ],
% 1.34/1.72 [ ~( 'class_Int_Onumber__ring'( X ) ), =(
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( Y ), X ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.34/1.72 X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ) ],
% 1.34/1.72 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.34/1.72 ), Y ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.34/1.72 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.34/1.72 ), Y ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.34/1.72 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP(
% 1.34/1.72 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), 'c_HOL_Ozero__class_Ozero'( X
% 1.34/1.72 ) ) ],
% 1.34/1.72 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.34/1.72 ), Y ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.34/1.72 Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.34/1.72 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oinverse__class_Odivide'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.34/1.72 ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.34/1.72 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oinverse__class_Odivide'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.34/1.72 ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.34/1.72 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.34/1.72 Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.72 'c_Int_OPls' ) ), 'tc_nat' ) ), Z ) ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 1.34/1.72 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.34/1.72 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X,
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, hAPP( 'c_Suc',
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.34/1.72 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.34/1.72 hAPP( 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, hAPP(
% 1.34/1.72 'c_Suc', 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.34/1.72 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), X ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.72 'c_Int_OPls' ) ), 'tc_nat' ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.34/1.72 'tc_nat' ), X ), X ) ) ],
% 1.34/1.72 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.34/1.72 'c_Int_OBit0'( 'c_Int_OBit1'( 'c_Int_OPls' ) ), X ) ), Y ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ) ) ],
% 1.34/1.72 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), Y ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.72 'c_Int_OPls' ) ), X ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y )
% 1.34/1.72 , Y ) ) ],
% 1.34/1.72 [ =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.72 'c_Int_OPls' ) ), 'tc_nat' ) ), X ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), X ) ) ],
% 1.34/1.72 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), Z ) ), =( Y, hAPP(
% 1.34/1.72 'c_HOL_Ouminus__class_Ouminus'( X ), T ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.34/1.72 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ), =( Z,
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.34/1.72 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ), =( Y,
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.34/1.72 [ ~( =( 'c_Int_OBit0'( X ), 'c_Int_OBit1'( Y ) ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.34/1.72 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), Z ) ) ],
% 1.34/1.72 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.34/1.72 'c_Finite__Set_Osetsum'( 'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.34/1.72 Y, X, X, Z ), T, Z, X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.34/1.72 'c_Finite__Set_Osetsum'( Y, T, Z, X ) ) ) ],
% 1.34/1.72 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.34/1.72 Y ) ],
% 1.34/1.72 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 1.34/1.72 Y ) ],
% 1.34/1.72 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.34/1.72 Y ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.34/1.72 X ) ), =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 1.34/1.72 Y ) ],
% 1.34/1.72 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 1.34/1.72 Y ) ],
% 1.34/1.72 [ =( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.34/1.72 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ) ],
% 1.34/1.72 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), X ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.34/1.72 Y ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 1.34/1.72 Y ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.34/1.72 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.34/1.72 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.34/1.72 ), ~( =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ) ),
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.34/1.72 ) ) ],
% 1.34/1.72 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ) ],
% 1.34/1.72 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ), hAPP( hAPP(
% 1.34/1.72 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ) ],
% 1.34/1.72 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP(
% 1.34/1.72 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.34/1.72 X ), Y ) ), Y ) ],
% 1.34/1.72 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y, hAPP(
% 1.34/1.72 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.34/1.72 X ), Y ) ) ) ],
% 1.34/1.72 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y, hAPP(
% 1.34/1.72 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.34/1.72 X ), Y ) ) ) ],
% 1.34/1.72 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP(
% 1.34/1.72 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.34/1.72 X ), Y ) ), Y ) ],
% 1.34/1.72 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP(
% 1.34/1.72 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.34/1.72 X ), Y ) ), Y ) ],
% 1.34/1.72 [ ~( =( 'c_Finite__Set_Osetsum'( 'c_COMBS'( 'c_COMBB'(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( 'tc_Complex_Ocomplex' ), 'c_COMBB'( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ),
% 1.34/1.72 'c_FFT__Mirabelle_Oroot'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.72 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.34/1.72 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), 'v_m' ) ) ), 'c_COMBB'(
% 1.34/1.72 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'v_i' ), 'c_COMBB'( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ), 'v_i' ), hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.72 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_nat', 'tc_nat' ), 'tc_nat'
% 1.34/1.72 , 'tc_nat', 'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat' ),
% 1.34/1.72 'tc_Complex_Ocomplex', 'tc_fun'( 'tc_Complex_Ocomplex',
% 1.34/1.72 'tc_Complex_Ocomplex' ), 'tc_nat' ), 'c_COMBB'( 'v_a', 'c_COMBB'( 'c_Suc'
% 1.34/1.72 , hAPP( 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.72 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_nat', 'tc_nat' ), 'tc_nat'
% 1.34/1.72 , 'tc_Complex_Ocomplex', 'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex',
% 1.34/1.72 'tc_Complex_Ocomplex' ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.34/1.72 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'v_m', 'tc_nat' ), 'tc_nat',
% 1.34/1.72 'tc_Complex_Ocomplex' ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.34/1.72 'tc_Complex_Ocomplex' ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'(
% 1.34/1.72 'tc_Complex_Ocomplex' ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.72 'tc_Complex_Ocomplex' ), hAPP( hAPP( 'c_Power_Opower__class_Opower'(
% 1.34/1.72 'tc_Complex_Ocomplex' ), 'c_FFT__Mirabelle_Oroot'( hAPP( hAPP(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( 'tc_nat' ),
% 1.34/1.72 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.34/1.72 'c_Int_OPls' ) ), 'tc_nat' ) ), 'v_m' ) ) ), 'v_i' ) ),
% 1.34/1.72 'c_Finite__Set_Osetsum'( 'c_COMBS'( 'c_COMBB'(
% 1.34/1.72 'c_HOL_Otimes__class_Otimes'( 'tc_Complex_Ocomplex' ), hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ), hAPP( hAPP(
% 1.34/1.72 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ),
% 1.34/1.72 'c_FFT__Mirabelle_Oroot'( 'v_m' ) ), 'v_i' ) ), 'tc_Complex_Ocomplex',
% 1.34/1.72 'tc_fun'( 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ), 'tc_nat' ),
% 1.34/1.72 'c_COMBB'( 'v_a', 'c_COMBB'( 'c_Suc', hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.72 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.34/1.72 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), 'tc_nat', 'tc_nat',
% 1.34/1.72 'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex', 'tc_nat' ), 'tc_nat',
% 1.34/1.72 'tc_Complex_Ocomplex', 'tc_Complex_Ocomplex' ),
% 1.34/1.72 'c_SetInterval_Oord__class_OatLeastLessThan'( 'c_HOL_Ozero__class_Ozero'(
% 1.34/1.72 'tc_nat' ), 'v_m', 'tc_nat' ), 'tc_nat', 'tc_Complex_Ocomplex' ) ) ),
% 1.34/1.72 hAPP( hAPP( 'c_Power_Opower__class_Opower'( 'tc_Complex_Ocomplex' ),
% 1.34/1.72 'c_FFT__Mirabelle_Oroot'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.34/1.72 'tc_nat' ), 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'(
% 1.34/1.72 'c_Int_OBit1'( 'c_Int_OPls' ) ), 'tc_nat' ) ), 'v_m' ) ) ), 'v_m' ) ) ) )
% 1.34/1.72 ) ],
% 1.34/1.72 [ 'class_Lattices_Oupper__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 1.34/1.72 'class_Lattices_Olattice'( Y ) ) ],
% 1.34/1.72 [ 'class_Lattices_Oboolean__algebra'( 'tc_fun'( X, Y ) ), ~(
% 1.34/1.72 'class_Lattices_Oboolean__algebra'( Y ) ) ],
% 1.34/1.72 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 1.34/1.72 'class_Orderings_Opreorder'( Y ) ) ],
% 1.34/1.72 [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~(
% 1.34/1.72 'class_Lattices_Olattice'( Y ) ) ],
% 1.34/1.72 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 1.34/1.72 'class_Orderings_Oorder'( Y ) ) ],
% 1.34/1.72 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 1.34/1.72 ],
% 1.34/1.72 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 1.34/1.72 ) ],
% 1.34/1.72 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 1.34/1.72 ],
% 1.34/1.72 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_nat' ) ]
% 1.34/1.72 ,
% 1.34/1.72 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 1.34/1.72 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 1.34/1.72 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 1.34/1.72 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 1.34/1.72 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 1.34/1.72 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' ) ],
% 1.34/1.72 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_nat' ) ],
% 1.34/1.72 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 1.34/1.72 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 1.34/1.72 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 1.34/1.72 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_nat' ) ],
% 1.34/1.72 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 1.34/1.72 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 1.34/1.72 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 1.34/1.72 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 1.34/1.72 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 1.34/1.72 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 1.34/1.72 [ 'class_Lattices_Oupper__semilattice'( 'tc_nat' ) ],
% 1.34/1.72 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ],
% 1.34/1.72 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ],
% 1.34/1.72 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_nat' ) ],
% 1.34/1.72 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 1.34/1.72 [ 'class_Ring__and__Field_Omult__mono'( 'tc_nat' ) ],
% 1.34/1.72 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 1.34/1.72 [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 1.34/1.72 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 1.34/1.72 [ 'class_Divides_Osemiring__div'( 'tc_nat' ) ],
% 1.34/1.72 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 1.34/1.72 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 1.34/1.72 [ 'class_Lattices_Olattice'( 'tc_nat' ) ],
% 1.34/1.72 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 1.34/1.72 [ 'class_Power_Opower'( 'tc_nat' ) ],
% 1.34/1.72 [ 'class_Int_Onumber'( 'tc_nat' ) ],
% 1.34/1.72 [ 'class_Lattices_Oupper__semilattice'( 'tc_bool' ) ],
% 1.34/1.72 [ 'class_Lattices_Oboolean__algebra'( 'tc_bool' ) ],
% 1.34/1.72 [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 1.34/1.72 [ 'class_Lattices_Olattice'( 'tc_bool' ) ],
% 1.34/1.72 [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 1.34/1.72 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 1.34/1.72 'tc_Int_Oint' ) ],
% 1.34/1.72 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 1.34/1.72 'tc_Int_Oint' ) ],
% 1.34/1.72 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 1.34/1.72 'tc_Int_Oint' ) ],
% 1.34/1.72 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_Int_Oint' )
% 1.34/1.72 ],
% 1.34/1.72 [ 'class_OrderedGroup_Olordered__ab__group__add__join'( 'tc_Int_Oint' )
% 1.34/1.72 ],
% 1.34/1.72 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'( 'tc_Int_Oint' )
% 1.34/1.72 ],
% 1.34/1.72 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_Int_Oint' ) ]
% 1.34/1.72 ,
% 1.34/1.72 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_Int_Oint' ) ]
% 1.34/1.72 ,
% 1.34/1.72 [ 'class_OrderedGroup_Opordered__ab__group__add__abs'( 'tc_Int_Oint' ) ]
% 1.34/1.72 ,
% 1.34/1.72 [ 'class_OrderedGroup_Olordered__ab__group__add__abs'( 'tc_Int_Oint' ) ]
% 1.34/1.72 ,
% 1.34/1.72 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_Int_Oint' ) ]
% 1.34/1.72 ,
% 1.34/1.72 [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_Int_Oint' ) ]
% 1.34/1.72 ,
% 1.34/1.72 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_Int_Oint' ) ]
% 1.34/1.72 ,
% 1.34/1.72 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_Int_Oint' ) ]
% 1.34/1.72 ,
% 1.34/1.72 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.34/1.72 [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.34/1.72 [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.34/1.72 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Int_Oint' ) ],
% 1.34/1.72 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_Int_Oint' ) ],
% 1.34/1.72 [ 'class_Ring__and__Field_Opordered__ring__abs'( 'tc_Int_Oint' ) ],
% 1.34/1.72 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_Int_Oint' ) ],
% 1.34/1.72 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Int_Oint' ) ],
% 1.34/1.72 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_Int_Oint' ) ],
% 1.34/1.72 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Int_Oint' ) ],
% 1.34/1.72 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_Int_Oint' ) ],
% 1.34/1.72 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Int_Oint' ) ],
% 1.34/1.73 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Int_Oint' ) ],
% 1.34/1.73 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Int_Oint' ) ],
% 1.34/1.73 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_Int_Oint' ) ],
% 1.34/1.73 [ 'class_Ring__and__Field_Olordered__ring'( 'tc_Int_Oint' ) ],
% 1.34/1.73 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Int_Oint' ) ],
% 1.34/1.73 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Int_Oint' ) ],
% 1.34/1.73 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Int_Oint' ) ],
% 1.34/1.73 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_Int_Oint' ) ],
% 1.34/1.73 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Int_Oint' ) ],
% 1.34/1.73 [ 'class_Lattices_Oupper__semilattice'( 'tc_Int_Oint' ) ],
% 1.34/1.73 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_Int_Oint' ) ],
% 1.34/1.73 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_Int_Oint' ) ],
% 1.34/1.73 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_Int_Oint' ) ],
% 1.34/1.73 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Int_Oint' ) ],
% 1.34/1.73 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Int_Oint' ) ],
% 1.34/1.73 [ 'class_Ring__and__Field_Omult__mono'( 'tc_Int_Oint' ) ],
% 1.34/1.73 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_Int_Oint' ) ],
% 1.34/1.73 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Int_Oint' ) ],
% 1.34/1.73 [ 'class_Ring__and__Field_Osemiring'( 'tc_Int_Oint' ) ],
% 1.34/1.73 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Int_Oint' ) ],
% 1.34/1.73 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Int_Oint' ) ],
% 1.34/1.73 [ 'class_Ring__and__Field_Oring__1'( 'tc_Int_Oint' ) ],
% 1.34/1.73 [ 'class_Ring__and__Field_Oabs__if'( 'tc_Int_Oint' ) ],
% 1.34/1.73 [ 'class_Divides_Osemiring__div'( 'tc_Int_Oint' ) ],
% 1.34/1.73 [ 'class_Ring__and__Field_Oring'( 'tc_Int_Oint' ) ],
% 1.34/1.73 [ 'class_Ring__and__Field_Oidom'( 'tc_Int_Oint' ) ],
% 1.34/1.73 [ 'class_Orderings_Opreorder'( 'tc_Int_Oint' ) ],
% 1.34/1.73 [ 'class_Orderings_Olinorder'( 'tc_Int_Oint' ) ],
% 1.34/1.73 [ 'class_Lattices_Olattice'( 'tc_Int_Oint' ) ],
% 1.34/1.73 [ 'class_Divides_Oring__div'( 'tc_Int_Oint' ) ],
% 1.34/1.73 [ 'class_Orderings_Oorder'( 'tc_Int_Oint' ) ],
% 1.34/1.73 [ 'class_Int_Oring__char__0'( 'tc_Int_Oint' ) ],
% 1.34/1.73 [ 'class_Int_Onumber__ring'( 'tc_Int_Oint' ) ],
% 1.34/1.73 [ 'class_Power_Opower'( 'tc_Int_Oint' ) ],
% 1.34/1.73 [ 'class_Int_Onumber'( 'tc_Int_Oint' ) ],
% 1.34/1.73 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 1.34/1.73 'tc_Complex_Ocomplex' ) ],
% 1.34/1.73 [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 1.34/1.73 'tc_Complex_Ocomplex' ) ],
% 1.34/1.73 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 1.34/1.73 'tc_Complex_Ocomplex' ) ],
% 1.34/1.73 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Complex_Ocomplex' )
% 1.34/1.73 ],
% 1.34/1.73 [ 'class_RealVector_Oreal__normed__algebra__1'( 'tc_Complex_Ocomplex' )
% 1.34/1.73 ],
% 1.34/1.73 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Complex_Ocomplex' )
% 1.34/1.73 ],
% 1.34/1.73 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_Complex_Ocomplex' )
% 1.34/1.73 ],
% 1.34/1.73 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Complex_Ocomplex' ) ]
% 1.34/1.73 ,
% 1.34/1.73 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_Complex_Ocomplex' ) ]
% 1.34/1.73 ,
% 1.34/1.73 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_Complex_Ocomplex' ) ]
% 1.34/1.73 ,
% 1.34/1.73 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Complex_Ocomplex' ) ]
% 1.34/1.73 ,
% 1.34/1.73 [ 'class_RealVector_Oreal__normed__vector'( 'tc_Complex_Ocomplex' ) ]
% 1.34/1.73 ,
% 1.34/1.73 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Complex_Ocomplex' ) ]
% 1.34/1.73 ,
% 1.34/1.73 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Complex_Ocomplex' ) ]
% 1.34/1.73 ,
% 1.34/1.73 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Complex_Ocomplex' ) ]
% 1.34/1.73 ,
% 1.34/1.73 [ 'class_RealVector_Oreal__normed__field'( 'tc_Complex_Ocomplex' ) ]
% 1.34/1.73 ,
% 1.34/1.73 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Complex_Ocomplex' ) ]
% 1.34/1.73 ,
% 1.34/1.73 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Complex_Ocomplex' ) ]
% 1.34/1.73 ,
% 1.34/1.73 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Complex_Ocomplex' ) ]
% 1.34/1.73 ,
% 1.34/1.73 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_Complex_Ocomplex' ) ],
% 1.34/1.73 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_Complex_Ocomplex' ) ],
% 1.34/1.73 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Complex_Ocomplex' ) ],
% 1.34/1.73 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Complex_Ocomplex' ) ],
% 1.34/1.73 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_Complex_Ocomplex' ) ],
% 1.34/1.73 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Complex_Ocomplex' ) ],
% 1.34/1.73 [ 'class_Ring__and__Field_Osemiring'( 'tc_Complex_Ocomplex' ) ],
% 1.34/1.73 [ 'class_RealVector_Ometric__space'( 'tc_Complex_Ocomplex' ) ],
% 1.34/1.73 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Complex_Ocomplex' ) ],
% 1.34/1.73 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Complex_Ocomplex' ) ],
% 1.34/1.73 [ 'class_Ring__and__Field_Oring__1'( 'tc_Complex_Ocomplex' ) ],
% 1.34/1.73 [ 'class_RealVector_Oreal__field'( 'tc_Complex_Ocomplex' ) ],
% 1.34/1.73 [ 'class_Ring__and__Field_Ofield'( 'tc_Complex_Ocomplex' ) ],
% 1.34/1.73 [ 'class_Ring__and__Field_Oring'( 'tc_Complex_Ocomplex' ) ],
% 1.34/1.73 [ 'class_Ring__and__Field_Oidom'( 'tc_Complex_Ocomplex' ) ],
% 1.34/1.73 [ 'class_Int_Oring__char__0'( 'tc_Complex_Ocomplex' ) ],
% 1.34/1.73 [ 'class_Int_Onumber__ring'( 'tc_Complex_Ocomplex' ) ],
% 1.34/1.73 [ 'class_Power_Opower'( 'tc_Complex_Ocomplex' ) ],
% 1.34/1.73 [ 'class_Int_Onumber'( 'tc_Complex_Ocomplex' ) ],
% 1.34/1.73 [ =( hAPP( 'c_COMBS'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), hAPP( Y
% 1.34/1.73 , W ) ) ) ],
% 1.34/1.73 [ =( hAPP( 'c_COMBC'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), Y ) ) ]
% 1.34/1.73 ,
% 1.34/1.73 [ =( hAPP( 'c_COMBB'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) ) ) ]
% 1.34/1.73 ,
% 1.34/1.73 [ 'c_fequal'( X, X, Y ) ],
% 1.34/1.73 [ =( X, Y ), ~( 'c_fequal'( X, Y, Z ) ) ]
% 1.34/1.73 ] .
% 1.34/1.73
% 1.34/1.73
% 1.34/1.73 percentage equality = 0.231206, percentage horn = 0.859527
% 1.34/1.73 This is a problem with some equality
% 1.34/1.73
% 1.34/1.73
% 1.34/1.73
% 1.34/1.73 Options Used:
% 1.34/1.73
% 1.34/1.73 useres = 1
% 1.34/1.73 useparamod = 1
% 1.34/1.73 useeqrefl = 1
% 1.34/1.73 useeqfact = 1
% 1.34/1.73 usefactor = 1
% 1.34/1.73 usesimpsplitting = 0
% 1.34/1.73 usesimpdemod = 5
% 1.34/1.73 usesimpres = 3
% 1.34/1.73
% 1.34/1.73 resimpinuse = 1000
% 1.34/1.73 resimpclauses = 20000
% 1.34/1.73 substype = eqrewr
% 1.34/1.73 backwardsubs = 1
% 1.34/1.73 selectoldest = 5
% 1.34/1.73
% 1.34/1.73 litorderings [0] = split
% 1.34/1.73 litorderings [1] = extend the termordering, first sorting on arguments
% 1.34/1.73
% 1.34/1.73 termordering = kbo
% 1.34/1.73
% 1.34/1.73 litapriori = 0
% 1.34/1.73 termapriori = 1
% 1.34/1.73 litaposteriori = 0
% 1.34/1.73 termaposteriori = 0
% 1.34/1.73 demodaposteriori = 0
% 1.34/1.73 ordereqreflfact = 0
% 1.34/1.73
% 1.34/1.73 litselect = negord
% 1.34/1.73
% 1.34/1.73 maxweight = 15
% 1.34/1.73 maxdepth = 30000
% 1.34/1.73 maxlength = 115
% 1.34/1.73 maxnrvars = 195
% 1.34/1.73 excuselevel = 1
% 1.34/1.73 increasemaxweight = 1
% 1.34/1.73
% 1.34/1.73 maxselected = 10000000
% 1.34/1.73 maxnrclauses = 10000000
% 1.34/1.73
% 1.34/1.73 showgenerated = 0
% 1.34/1.73 showkept = 0
% 1.34/1.73 showselected = 0
% 1.34/1.73 showdeleted = 0
% 1.34/1.73 showresimp = 1
% 1.34/1.73 showstatus = 2000
% 1.34/1.73
% 1.34/1.73 prologoutput = 1
% 1.34/1.73 nrgoals = 5000000
% 1.34/1.73 totalproof = 1
% 1.34/1.73
% 1.34/1.73 Symbols occurring in the translation:
% 1.34/1.73
% 1.34/1.73 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.34/1.73 . [1, 2] (w:1, o:177, a:1, s:1, b:0),
% 1.34/1.73 ! [4, 1] (w:0, o:87, a:1, s:1, b:0),
% 1.34/1.73 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.34/1.73 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.34/1.73 'class_Ring__and__Field_Olordered__ring' [40, 1] (w:1, o:92, a:1, s:1
% 1.34/1.73 , b:0),
% 1.34/1.73 'c_HOL_Oabs__class_Oabs' [41, 1] (w:1, o:93, a:1, s:1, b:0),
% 1.34/1.73 'c_HOL_Otimes__class_Otimes' [42, 1] (w:1, o:94, a:1, s:1, b:0),
% 1.34/1.73 hAPP [44, 2] (w:1, o:202, a:1, s:1, b:0),
% 1.34/1.73 'c_lessequals' [46, 3] (w:1, o:207, a:1, s:1, b:0),
% 1.34/1.73 'tc_nat' [47, 0] (w:1, o:14, a:1, s:1, b:0),
% 1.34/1.73 'c_HOL_Ominus__class_Ominus' [48, 1] (w:1, o:95, a:1, s:1, b:0),
% 1.34/1.73 'c_Suc' [49, 0] (w:1, o:15, a:1, s:1, b:0),
% 1.34/1.73 'c_HOL_Oone__class_Oone' [51, 1] (w:1, o:96, a:1, s:1, b:0),
% 1.34/1.73 'c_Set_Oimage' [55, 4] (w:1, o:219, a:1, s:1, b:0),
% 1.34/1.73 'tc_bool' [57, 0] (w:1, o:31, a:1, s:1, b:0),
% 1.34/1.73 'tc_fun' [58, 2] (w:1, o:203, a:1, s:1, b:0),
% 1.34/1.73 'c_Lattices_Oupper__semilattice__class_Osup' [59, 3] (w:1, o:208, a:1
% 1.34/1.73 , s:1, b:0),
% 1.34/1.73 'c_Fun_Oinj__on' [60, 4] (w:1, o:220, a:1, s:1, b:0),
% 1.34/1.73 'class_RealVector_Oreal__normed__algebra' [61, 1] (w:1, o:97, a:1, s:
% 1.34/1.73 1, b:0),
% 1.34/1.73 'c_COMBC' [63, 5] (w:1, o:224, a:1, s:1, b:0),
% 1.34/1.73 'c_Lim_OLIM' [64, 5] (w:1, o:225, a:1, s:1, b:0),
% 1.34/1.73 'c_Divides_Odiv__class_Odiv' [66, 3] (w:1, o:209, a:1, s:1, b:0),
% 1.34/1.73 'c_HOL_Ozero__class_Ozero' [67, 1] (w:1, o:98, a:1, s:1, b:0),
% 1.34/1.73 'c_HOL_Oord__class_Oless' [68, 3] (w:1, o:210, a:1, s:1, b:0),
% 1.34/1.73 hBOOL [70, 1] (w:1, o:99, a:1, s:1, b:0),
% 1.34/1.73 'class_Ring__and__Field_Oordered__idom' [71, 1] (w:1, o:102, a:1, s:1
% 1.34/1.73 , b:0),
% 1.34/1.73 'c_HOL_Ouminus__class_Ouminus' [72, 1] (w:1, o:103, a:1, s:1, b:0),
% 1.34/1.73 'class_Orderings_Olinorder' [73, 1] (w:1, o:104, a:1, s:1, b:0),
% 1.34/1.73 'c_SetInterval_Oord__class_OatLeastLessThan' [75, 3] (w:1, o:211, a:1
% 1.34/1.84 , s:1, b:0),
% 1.34/1.84 'class_OrderedGroup_Olordered__ab__group__add__abs' [77, 1] (w:1, o:
% 1.34/1.84 105, a:1, s:1, b:0),
% 1.34/1.84 'class_OrderedGroup_Opordered__ab__group__add__abs' [78, 1] (w:1, o:
% 1.34/1.84 107, a:1, s:1, b:0),
% 1.34/1.84 'class_RealVector_Oreal__normed__vector' [79, 1] (w:1, o:108, a:1, s:
% 1.34/1.84 1, b:0),
% 1.34/1.84 'c_COMBB' [80, 5] (w:1, o:223, a:1, s:1, b:0),
% 1.34/1.84 'c_SEQ_OLIMSEQ' [81, 3] (w:1, o:212, a:1, s:1, b:0),
% 1.34/1.84 'class_RealVector_Ometric__space' [82, 1] (w:1, o:109, a:1, s:1, b:0)
% 1.34/1.84 ,
% 1.34/1.84 'c_HOL_Oplus__class_Oplus' [83, 1] (w:1, o:110, a:1, s:1, b:0),
% 1.34/1.84 'c_Divides_Odiv__class_Omod' [86, 3] (w:1, o:213, a:1, s:1, b:0),
% 1.34/1.84 'class_Orderings_Oorder' [88, 1] (w:1, o:111, a:1, s:1, b:0),
% 1.34/1.84 'class_RealVector_Oreal__normed__field' [90, 1] (w:1, o:112, a:1, s:1
% 1.34/1.84 , b:0),
% 1.34/1.84 'c_Deriv_Oderiv' [93, 4] (w:1, o:221, a:1, s:1, b:0),
% 1.34/1.84 'tc_Int_Oint' [95, 0] (w:1, o:50, a:1, s:1, b:0),
% 1.34/1.84 'class_RealVector_Oreal__normed__algebra__1' [96, 1] (w:1, o:113, a:1
% 1.34/1.84 , s:1, b:0),
% 1.34/1.84 'c_HOL_Oinverse__class_Odivide' [99, 1] (w:1, o:114, a:1, s:1, b:0),
% 1.34/1.84
% 1.34/1.84 'class_Lattices_Oupper__semilattice' [100, 1] (w:1, o:115, a:1, s:1
% 1.34/1.84 , b:0),
% 1.34/1.84 'class_Orderings_Opreorder' [102, 1] (w:1, o:116, a:1, s:1, b:0),
% 1.34/1.84 'class_OrderedGroup_Oab__group__add' [106, 1] (w:1, o:117, a:1, s:1
% 1.34/1.84 , b:0),
% 1.34/1.84 'class_Lattices_Olattice' [111, 1] (w:1, o:118, a:1, s:1, b:0),
% 1.34/1.84 'c_Parity_Oeven__odd__class_Oeven' [112, 2] (w:1, o:204, a:1, s:1, b:
% 1.34/1.84 0),
% 1.34/1.84 'class_Ring__and__Field_Oordered__semidom' [113, 1] (w:1, o:120, a:1
% 1.34/1.84 , s:1, b:0),
% 1.34/1.84 'c_Power_Opower__class_Opower' [114, 1] (w:1, o:121, a:1, s:1, b:0),
% 1.34/1.84
% 1.34/1.84 'c_Int_OBit1' [118, 1] (w:1, o:123, a:1, s:1, b:0),
% 1.34/1.84 'c_Int_OMin' [119, 0] (w:1, o:64, a:1, s:1, b:0),
% 1.34/1.84 'c_COMBS' [120, 5] (w:1, o:226, a:1, s:1, b:0),
% 1.34/1.84 'class_Int_Onumber__ring' [121, 1] (w:1, o:124, a:1, s:1, b:0),
% 1.34/1.84 'c_Int_Onumber__class_Onumber__of' [122, 2] (w:1, o:205, a:1, s:1, b:
% 1.34/1.84 0),
% 1.34/1.84 'class_Divides_Osemiring__div' [123, 1] (w:1, o:126, a:1, s:1, b:0),
% 1.34/1.84
% 1.34/1.84 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [124, 1]
% 1.34/1.84 (w:1, o:127, a:1, s:1, b:0),
% 1.34/1.84 'c_Int_OPls' [125, 0] (w:1, o:65, a:1, s:1, b:0),
% 1.34/1.84 'c_Int_OBit0' [126, 1] (w:1, o:122, a:1, s:1, b:0),
% 1.34/1.84 'class_Ring__and__Field_Ozero__neq__one' [127, 1] (w:1, o:128, a:1
% 1.34/1.84 , s:1, b:0),
% 1.34/1.84 'class_OrderedGroup_Ogroup__add' [128, 1] (w:1, o:129, a:1, s:1, b:0)
% 1.34/1.84 ,
% 1.34/1.84 'class_Ring__and__Field_Oidom' [129, 1] (w:1, o:130, a:1, s:1, b:0),
% 1.34/1.84
% 1.34/1.84 'class_Ring__and__Field_Oordered__semiring__strict' [130, 1] (w:1, o:
% 1.34/1.84 131, a:1, s:1, b:0),
% 1.34/1.84 'class_Ring__and__Field_Opordered__ring__abs' [131, 1] (w:1, o:135
% 1.34/1.84 , a:1, s:1, b:0),
% 1.34/1.84 'class_Ring__and__Field_Oordered__semiring' [132, 1] (w:1, o:132, a:1
% 1.34/1.84 , s:1, b:0),
% 1.34/1.84 'class_Ring__and__Field_Oordered__ring__strict' [133, 1] (w:1, o:119
% 1.34/1.84 , a:1, s:1, b:0),
% 1.34/1.84 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [134, 1]
% 1.34/1.84 (w:1, o:136, a:1, s:1, b:0),
% 1.34/1.84 'class_OrderedGroup_Ocomm__monoid__add' [135, 1] (w:1, o:137, a:1, s:
% 1.34/1.84 1, b:0),
% 1.34/1.84 'class_OrderedGroup_Opordered__comm__monoid__add' [136, 1] (w:1, o:
% 1.34/1.84 138, a:1, s:1, b:0),
% 1.34/1.84 'class_Power_Opower' [137, 1] (w:1, o:151, a:1, s:1, b:0),
% 1.34/1.84 'class_OrderedGroup_Opordered__ab__group__add' [138, 1] (w:1, o:139
% 1.34/1.84 , a:1, s:1, b:0),
% 1.34/1.84 'c_FFT__Mirabelle_Oroot' [139, 1] (w:1, o:152, a:1, s:1, b:0),
% 1.34/1.84 'tc_Complex_Ocomplex' [140, 0] (w:1, o:66, a:1, s:1, b:0),
% 1.34/1.84 'c_Groebner__Basis_Ogb__semiring' [148, 6] (w:1, o:227, a:1, s:1, b:0
% 1.34/1.84 ),
% 1.34/1.84 'class_Divides_Oring__div' [154, 1] (w:1, o:125, a:1, s:1, b:0),
% 1.34/1.84 'c_Power_Opower_Opower' [155, 3] (w:1, o:214, a:1, s:1, b:0),
% 1.34/1.84 'class_OrderedGroup_Omonoid__mult' [159, 1] (w:1, o:142, a:1, s:1, b:
% 1.34/1.84 0),
% 1.34/1.84 'class_OrderedGroup_Ocomm__monoid__mult' [160, 1] (w:1, o:143, a:1
% 1.34/1.84 , s:1, b:0),
% 1.34/1.84 'class_Ring__and__Field_Ocomm__semiring__1' [161, 1] (w:1, o:156, a:1
% 1.34/1.84 , s:1, b:0),
% 1.34/1.84 'class_Ring__and__Field_Opordered__ring' [163, 1] (w:1, o:157, a:1
% 6.21/6.54 , s:1, b:0),
% 6.21/6.54 'class_OrderedGroup_Opordered__ab__semigroup__add' [165, 1] (w:1, o:
% 6.21/6.54 144, a:1, s:1, b:0),
% 6.21/6.54 'class_OrderedGroup_Olordered__ab__group__add__join' [166, 1] (w:1
% 6.21/6.54 , o:140, a:1, s:1, b:0),
% 6.21/6.54 'class_OrderedGroup_Olordered__ab__group__add' [167, 1] (w:1, o:141
% 6.21/6.54 , a:1, s:1, b:0),
% 6.21/6.54 'class_Ring__and__Field_Oabs__if' [168, 1] (w:1, o:158, a:1, s:1, b:0
% 6.21/6.54 ),
% 6.21/6.54 'c_Complex_Oii' [170, 0] (w:1, o:79, a:1, s:1, b:0),
% 6.21/6.54 'c_Series_Osuminf' [172, 2] (w:1, o:206, a:1, s:1, b:0),
% 6.21/6.54 'c_Series_Osums' [173, 3] (w:1, o:215, a:1, s:1, b:0),
% 6.21/6.54 'class_Int_Onumber' [174, 1] (w:1, o:159, a:1, s:1, b:0),
% 6.21/6.54 'class_Ring__and__Field_Ofield' [176, 1] (w:1, o:160, a:1, s:1, b:0)
% 6.21/6.54 ,
% 6.21/6.54 'class_Ring__and__Field_Odivision__by__zero' [177, 1] (w:1, o:162, a:
% 6.21/6.54 1, s:1, b:0),
% 6.21/6.54 'class_Ring__and__Field_Oordered__field' [178, 1] (w:1, o:133, a:1
% 6.21/6.54 , s:1, b:0),
% 6.21/6.54 'c_Finite__Set_Osetsum' [181, 4] (w:1, o:222, a:1, s:1, b:0),
% 6.21/6.54 'class_Ring__and__Field_Oordered__comm__semiring__strict' [184, 1]
% 6.21/6.54 (w:1, o:134, a:1, s:1, b:0),
% 6.21/6.54 'class_Ring__and__Field_Omult__mono1' [185, 1] (w:1, o:163, a:1, s:1
% 6.21/6.54 , b:0),
% 6.21/6.54 'class_Ring__and__Field_Omult__mono' [186, 1] (w:1, o:164, a:1, s:1
% 6.21/6.54 , b:0),
% 6.21/6.54 'class_Ring__and__Field_Opordered__cancel__semiring' [187, 1] (w:1
% 6.21/6.54 , o:165, a:1, s:1, b:0),
% 6.21/6.54 'class_Ring__and__Field_Opordered__semiring' [188, 1] (w:1, o:166, a:
% 6.21/6.54 1, s:1, b:0),
% 6.21/6.54 'class_Ring__and__Field_Ocomm__ring__1' [189, 1] (w:1, o:153, a:1, s:
% 6.21/6.54 1, b:0),
% 6.21/6.54 'class_Ring__and__Field_Oring' [194, 1] (w:1, o:167, a:1, s:1, b:0),
% 6.21/6.54
% 6.21/6.54 'class_OrderedGroup_Oordered__ab__group__add' [195, 1] (w:1, o:106
% 6.21/6.54 , a:1, s:1, b:0),
% 6.21/6.54 'v_m' [197, 0] (w:1, o:82, a:1, s:1, b:0),
% 6.21/6.54 'c_FFT__Mirabelle_ODFT' [198, 3] (w:1, o:216, a:1, s:1, b:0),
% 6.21/6.54 'class_Ring__and__Field_Osemiring__0' [199, 1] (w:1, o:171, a:1, s:1
% 6.21/6.54 , b:0),
% 6.21/6.54 'class_RealVector_Oreal__field' [200, 1] (w:1, o:172, a:1, s:1, b:0)
% 6.21/6.54 ,
% 6.21/6.54 'class_Ring__and__Field_Oring__1' [202, 1] (w:1, o:168, a:1, s:1, b:0
% 6.21/6.54 ),
% 6.21/6.54 'class_Ring__and__Field_Ocomm__ring' [203, 1] (w:1, o:154, a:1, s:1
% 6.21/6.54 , b:0),
% 6.21/6.54 'class_OrderedGroup_Ocancel__ab__semigroup__add' [204, 1] (w:1, o:145
% 6.21/6.54 , a:1, s:1, b:0),
% 6.21/6.54 'class_OrderedGroup_Ocancel__semigroup__add' [205, 1] (w:1, o:146, a:
% 6.21/6.54 1, s:1, b:0),
% 6.21/6.54 'v_i' [206, 0] (w:1, o:83, a:1, s:1, b:0),
% 6.21/6.54 'c_FFT__Mirabelle_OIDFT' [207, 3] (w:1, o:217, a:1, s:1, b:0),
% 6.21/6.54 'class_Ring__and__Field_Ocomm__semiring__0' [208, 1] (w:1, o:155, a:1
% 6.21/6.54 , s:1, b:0),
% 6.21/6.54 'v_a' [209, 0] (w:1, o:84, a:1, s:1, b:0),
% 6.21/6.54 'class_Ring__and__Field_Osemiring__1' [210, 1] (w:1, o:173, a:1, s:1
% 6.21/6.54 , b:0),
% 6.21/6.54 'class_Ring__and__Field_Ocomm__semiring' [211, 1] (w:1, o:161, a:1
% 6.21/6.54 , s:1, b:0),
% 6.21/6.54 'class_OrderedGroup_Oab__semigroup__mult' [212, 1] (w:1, o:147, a:1
% 6.21/6.54 , s:1, b:0),
% 6.21/6.54 'class_OrderedGroup_Oab__semigroup__idem__mult' [213, 1] (w:1, o:148
% 6.21/6.54 , a:1, s:1, b:0),
% 6.21/6.54 'class_Ring__and__Field_Ono__zero__divisors' [214, 1] (w:1, o:101, a:
% 6.21/6.54 1, s:1, b:0),
% 6.21/6.54 'class_Ring__and__Field_Omult__zero' [215, 1] (w:1, o:100, a:1, s:1
% 6.21/6.54 , b:0),
% 6.21/6.54 'class_Ring__and__Field_Oring__1__no__zero__divisors' [216, 1] (w:1
% 6.21/6.54 , o:169, a:1, s:1, b:0),
% 6.21/6.54 'class_Lattices_Oboolean__algebra' [217, 1] (w:1, o:174, a:1, s:1, b:
% 6.21/6.54 0),
% 6.21/6.54 'class_Ring__and__Field_Oring__no__zero__divisors' [218, 1] (w:1, o:
% 6.21/6.54 170, a:1, s:1, b:0),
% 6.21/6.54 'class_Ring__and__Field_Osemiring' [221, 1] (w:1, o:175, a:1, s:1, b:
% 6.21/6.54 0),
% 6.21/6.54 'class_OrderedGroup_Oab__semigroup__add' [222, 1] (w:1, o:149, a:1
% 6.21/6.54 , s:1, b:0),
% 6.21/6.54 'class_Int_Oring__char__0' [223, 1] (w:1, o:176, a:1, s:1, b:0),
% 6.21/6.54 'class_OrderedGroup_Omonoid__add' [224, 1] (w:1, o:150, a:1, s:1, b:0
% 6.21/6.54 ),
% 6.21/6.54 'c_fequal' [227, 3] (w:1, o:218, a:1, s:1, b:0).
% 6.21/6.54
% 6.21/6.54
% 6.21/6.54 Starting Search:
% 6.21/6.54
% 6.21/6.54 Resimplifying inuse:
% 6.21/6.54 Done
% 6.21/6.54
% 6.21/6.54
% 6.21/6.54 Intermediate Status:
% 6.21/6.54 Generated: 3115
% 6.21/6.54 Kept: 2001
% 6.21/6.54 Inuse: 74
% 6.21/6.54 Deleted: 1
% 6.21/6.54 Deletedinuse: 0
% 6.21/6.54
% 6.21/6.54 Resimplifying inuse:
% 6.21/6.54 Done
% 6.21/6.54
% 6.21/6.54 Resimplifying inuse:
% 6.21/6.54 Done
% 6.21/6.54
% 6.21/6.54
% 6.21/6.54 Intermediate Status:
% 6.21/6.54 Generated: 9374
% 6.21/6.54 Kept: 4009
% 20.84/21.18 Inuse: 160
% 20.84/21.18 Deleted: 2
% 20.84/21.18 Deletedinuse: 0
% 20.84/21.18
% 20.84/21.18 Resimplifying inuse:
% 20.84/21.18 Done
% 20.84/21.18
% 20.84/21.18 Resimplifying inuse:
% 20.84/21.18 Done
% 20.84/21.18
% 20.84/21.18
% 20.84/21.18 Intermediate Status:
% 20.84/21.18 Generated: 18233
% 20.84/21.18 Kept: 6024
% 20.84/21.18 Inuse: 284
% 20.84/21.18 Deleted: 7
% 20.84/21.18 Deletedinuse: 0
% 20.84/21.18
% 20.84/21.18 Resimplifying inuse:
% 20.84/21.18 Done
% 20.84/21.18
% 20.84/21.18 Resimplifying inuse:
% 20.84/21.18 Done
% 20.84/21.18
% 20.84/21.18
% 20.84/21.18 Intermediate Status:
% 20.84/21.18 Generated: 25773
% 20.84/21.18 Kept: 8027
% 20.84/21.18 Inuse: 387
% 20.84/21.18 Deleted: 10
% 20.84/21.18 Deletedinuse: 0
% 20.84/21.18
% 20.84/21.18 Resimplifying inuse:
% 20.84/21.18 Done
% 20.84/21.18
% 20.84/21.18
% 20.84/21.18 Intermediate Status:
% 20.84/21.18 Generated: 32921
% 20.84/21.18 Kept: 10782
% 20.84/21.18 Inuse: 436
% 20.84/21.18 Deleted: 10
% 20.84/21.18 Deletedinuse: 0
% 20.84/21.18
% 20.84/21.18 Resimplifying inuse:
% 20.84/21.18 Done
% 20.84/21.18
% 20.84/21.18 Resimplifying inuse:
% 20.84/21.18 Done
% 20.84/21.18
% 20.84/21.18
% 20.84/21.18 Intermediate Status:
% 20.84/21.18 Generated: 40148
% 20.84/21.18 Kept: 13699
% 20.84/21.18 Inuse: 455
% 20.84/21.18 Deleted: 10
% 20.84/21.18 Deletedinuse: 0
% 20.84/21.18
% 20.84/21.18 Resimplifying inuse:
% 20.84/21.18 Done
% 20.84/21.18
% 20.84/21.18 Resimplifying inuse:
% 20.84/21.18 Done
% 20.84/21.18
% 20.84/21.18
% 20.84/21.18 Intermediate Status:
% 20.84/21.18 Generated: 48000
% 20.84/21.18 Kept: 15745
% 20.84/21.18 Inuse: 511
% 20.84/21.18 Deleted: 10
% 20.84/21.18 Deletedinuse: 0
% 20.84/21.18
% 20.84/21.18 Resimplifying inuse:
% 20.84/21.18 Done
% 20.84/21.18
% 20.84/21.18 Resimplifying inuse:
% 20.84/21.18 Done
% 20.84/21.18
% 20.84/21.18
% 20.84/21.18 Intermediate Status:
% 20.84/21.18 Generated: 58035
% 20.84/21.18 Kept: 18469
% 20.84/21.18 Inuse: 571
% 20.84/21.18 Deleted: 10
% 20.84/21.18 Deletedinuse: 0
% 20.84/21.18
% 20.84/21.18 Resimplifying inuse:
% 20.84/21.18 Done
% 20.84/21.18
% 20.84/21.18 Resimplifying inuse:
% 20.84/21.18 Done
% 20.84/21.18
% 20.84/21.18 Resimplifying clauses:
% 20.84/21.18 Done
% 20.84/21.18
% 20.84/21.18
% 20.84/21.18 Intermediate Status:
% 20.84/21.18 Generated: 64244
% 20.84/21.18 Kept: 20539
% 20.84/21.18 Inuse: 641
% 20.84/21.18 Deleted: 380
% 20.84/21.18 Deletedinuse: 0
% 20.84/21.18
% 20.84/21.18 Resimplifying inuse:
% 20.84/21.18 Done
% 20.84/21.18
% 20.84/21.18 Resimplifying inuse:
% 20.84/21.18 Done
% 20.84/21.18
% 20.84/21.18
% 20.84/21.18 Intermediate Status:
% 20.84/21.18 Generated: 71948
% 20.84/21.18 Kept: 23413
% 20.84/21.18 Inuse: 676
% 20.84/21.18 Deleted: 382
% 20.84/21.18 Deletedinuse: 2
% 20.84/21.18
% 20.84/21.18 Resimplifying inuse:
% 20.84/21.18 Done
% 20.84/21.18
% 20.84/21.18 Resimplifying inuse:
% 20.84/21.18 Done
% 20.84/21.18
% 20.84/21.18
% 20.84/21.18 Intermediate Status:
% 20.84/21.18 Generated: 76741
% 20.84/21.18 Kept: 25476
% 20.84/21.18 Inuse: 686
% 20.84/21.18 Deleted: 382
% 20.84/21.18 Deletedinuse: 2
% 20.84/21.18
% 20.84/21.18 Resimplifying inuse:
% 20.84/21.18 Done
% 20.84/21.18
% 20.84/21.18 Resimplifying inuse:
% 20.84/21.18 Done
% 20.84/21.18
% 20.84/21.18
% 20.84/21.18 Intermediate Status:
% 20.84/21.18 Generated: 83316
% 20.84/21.18 Kept: 27890
% 20.84/21.18 Inuse: 741
% 20.84/21.18 Deleted: 382
% 20.84/21.18 Deletedinuse: 2
% 20.84/21.18
% 20.84/21.18 Resimplifying inuse:
% 20.84/21.18 Done
% 20.84/21.18
% 20.84/21.18 Resimplifying inuse:
% 20.84/21.18 Done
% 20.84/21.18
% 20.84/21.18
% 20.84/21.18 Intermediate Status:
% 20.84/21.18 Generated: 88103
% 20.84/21.18 Kept: 30007
% 20.84/21.18 Inuse: 776
% 20.84/21.18 Deleted: 382
% 20.84/21.18 Deletedinuse: 2
% 20.84/21.18
% 20.84/21.18 Resimplifying inuse:
% 20.84/21.18 Done
% 20.84/21.18
% 20.84/21.18
% 20.84/21.18 Intermediate Status:
% 20.84/21.18 Generated: 95194
% 20.84/21.18 Kept: 32291
% 20.84/21.18 Inuse: 811
% 20.84/21.18 Deleted: 382
% 20.84/21.18 Deletedinuse: 2
% 20.84/21.18
% 20.84/21.18 Resimplifying inuse:
% 20.84/21.18 Done
% 20.84/21.18
% 20.84/21.18 Resimplifying inuse:
% 20.84/21.18 Done
% 20.84/21.18
% 20.84/21.18
% 20.84/21.18 Intermediate Status:
% 20.84/21.18 Generated: 102039
% 20.84/21.18 Kept: 34459
% 20.84/21.18 Inuse: 839
% 20.84/21.18 Deleted: 384
% 20.84/21.18 Deletedinuse: 2
% 20.84/21.18
% 20.84/21.18 Resimplifying inuse:
% 20.84/21.18 Done
% 20.84/21.18
% 20.84/21.18 Resimplifying inuse:
% 20.84/21.18 Done
% 20.84/21.18
% 20.84/21.18
% 20.84/21.18 Intermediate Status:
% 20.84/21.18 Generated: 113960
% 20.84/21.18 Kept: 37351
% 20.84/21.18 Inuse: 904
% 20.84/21.18 Deleted: 384
% 20.84/21.18 Deletedinuse: 2
% 20.84/21.18
% 20.84/21.18 Resimplifying inuse:
% 20.84/21.18 Done
% 20.84/21.18
% 20.84/21.18
% 20.84/21.18 Intermediate Status:
% 20.84/21.18 Generated: 121128
% 20.84/21.18 Kept: 39542
% 20.84/21.18 Inuse: 919
% 20.84/21.18 Deleted: 384
% 20.84/21.18 Deletedinuse: 2
% 20.84/21.18
% 20.84/21.18 Resimplifying inuse:
% 20.84/21.18 Done
% 20.84/21.18
% 20.84/21.18 Resimplifying inuse:
% 20.84/21.18 Done
% 20.84/21.18
% 20.84/21.18 Resimplifying clauses:
% 20.84/21.18 Done
% 20.84/21.18
% 20.84/21.18
% 20.84/21.18 Intermediate Status:
% 20.84/21.18 Generated: 128878
% 20.84/21.18 Kept: 41581
% 20.84/21.18 Inuse: 939
% 20.84/21.18 Deleted: 697
% 20.84/21.18 Deletedinuse: 2
% 20.84/21.18
% 20.84/21.18 Resimplifying inuse:
% 20.84/21.18 Done
% 20.84/21.18
% 20.84/21.18 Resimplifying inuse:
% 20.84/21.18 Done
% 20.84/21.18
% 20.84/21.18
% 20.84/21.18 Intermediate Status:
% 20.84/21.18 Generated: 138814
% 20.84/21.18 Kept: 43797
% 20.84/21.18 Inuse: 984
% 20.84/21.18 Deleted: 706
% 20.84/21.18 Deletedinuse: 11
% 20.84/21.18
% 20.84/21.18 Resimplifying inuse:
% 20.84/21.18 Done
% 20.84/21.18
% 20.84/21.18
% 20.84/21.18 Intermediate Status:
% 20.84/21.18 Generated: 142467
% 20.84/21.18 Kept: 45970
% 20.84/21.18 Inuse: 989
% 20.84/21.18 Deleted: 706
% 20.84/21.18 Deletedinuse: 11
% 20.84/21.18
% 20.84/21.18 Resimplifying inuse:
% 20.84/21.18 Done
% 20.84/21.18
% 20.84/21.18 Resimplifying inuse:
% 20.84/21.18 Done
% 20.84/21.18
% 20.84/21.18
% 20.84/21.18 Intermediate Status:
% 20.84/21.18 Generated: 150108
% 20.84/21.18 Kept: 48150
% 20.84/21.18 Inuse: 1029
% 20.84/21.18 Deleted: 706
% 20.84/21.18 Deletedinuse: 11
% 20.84/21.18
% 20.84/21.18 Resimplifying inuse:
% 20.84/21.18 Done
% 20.84/21.18
% 20.84/21.18
% 20.84/21.18 Intermediate Status:
% 20.84/21.18 Generated: 155924
% 20.84/21.18 Kept: 50244
% 20.84/21.18 Inuse: 1054
% 20.84/21.18 Deleted: 706
% 20.84/21.18 Deletedinuse: 11
% 20.84/21.18
% 20.84/21.18 Resimplifying inuse:
% 20.84/21.18 Done
% 20.84/21.18
% 20.84/21.18 Resimplifying inuse:
% 20.84/21.18 Done
% 20.84/21.18
% 20.84/21.18
% 20.84/21.18 Intermediate Status:
% 20.84/21.18 Generated: 161688
% 20.84/21.18 Kept: 52727
% 20.84/21.18 Inuse: 1069
% 20.84/21.18 Deleted: 706
% 20.84/21.18 Deletedinuse: 11
% 20.84/21.18
% 20.84/21.18 Resimplifying inuse:
% 20.84/21.18 Done
% 20.84/21.18
% 20.84/21.18 Resimplifying inuse:
% 20.84/21.18 Done
% 20.84/21.18
% 20.84/21.18
% 20.84/21.18 Intermediate Status:
% 20.84/21.18 Generated: 167717
% 20.84/21.18 Kept: 55149
% 20.84/21.18 Inuse: 1089
% 20.84/21.18 Deleted: 706
% 20.84/21.18 Deletedinuse: 11
% 20.84/21.18
% 20.84/21.18 Resimplifying inuse:
% 20.84/21.18 Done
% 20.84/21.18
% 20.84/21.18 Resimplifying inuse:
% 20.84/21.18 Done
% 20.84/21.18
% 20.84/21.18
% 20.84/21.18 Intermediate Status:
% 20.84/21.18 Generated: 172974
% 20.84/21.18 Kept: 57173
% 20.84/21.18 Inuse: 1108
% 20.84/21.18 Deleted: 706
% 20.84/21.18 Deletedinuse: 11
% 20.84/21.18
% 20.84/21.18 Resimplifying inuse:
% 20.84/21.18 Done
% 20.84/21.18
% 20.84/21.18
% 20.84/21.18 Intermediate Status:
% 20.84/21.18 Generated: 179301
% 20.84/21.18 Kept: 59268
% 20.84/21.18 Inuse: 1134
% 20.84/21.18 Deleted: 706
% 20.84/21.18 Deletedinuse: 11
% 20.84/21.18
% 20.84/21.18 Resimplifying inuse:
% 20.84/21.18 Done
% 20.84/21.18
% 20.84/21.18 Resimplifying inuse:
% 20.84/21.18 Done
% 20.84/21.18
% 20.84/21.18 Resimplifying clauses:
% 53.54/53.93 Done
% 53.54/53.93
% 53.54/53.93
% 53.54/53.93 Intermediate Status:
% 53.54/53.93 Generated: 187268
% 53.54/53.93 Kept: 61273
% 53.54/53.93 Inuse: 1163
% 53.54/53.93 Deleted: 989
% 53.54/53.93 Deletedinuse: 11
% 53.54/53.93
% 53.54/53.93 Resimplifying inuse:
% 53.54/53.93 Done
% 53.54/53.93
% 53.54/53.93 Resimplifying inuse:
% 53.54/53.93 Done
% 53.54/53.93
% 53.54/53.93
% 53.54/53.93 Intermediate Status:
% 53.54/53.93 Generated: 194857
% 53.54/53.93 Kept: 63314
% 53.54/53.93 Inuse: 1199
% 53.54/53.93 Deleted: 989
% 53.54/53.93 Deletedinuse: 11
% 53.54/53.93
% 53.54/53.93 Resimplifying inuse:
% 53.54/53.93 Done
% 53.54/53.93
% 53.54/53.93 Resimplifying inuse:
% 53.54/53.93 Done
% 53.54/53.93
% 53.54/53.93
% 53.54/53.93 Intermediate Status:
% 53.54/53.93 Generated: 202834
% 53.54/53.93 Kept: 65380
% 53.54/53.93 Inuse: 1234
% 53.54/53.93 Deleted: 989
% 53.54/53.93 Deletedinuse: 11
% 53.54/53.93
% 53.54/53.93 Resimplifying inuse:
% 53.54/53.93 Done
% 53.54/53.93
% 53.54/53.93
% 53.54/53.93 Intermediate Status:
% 53.54/53.93 Generated: 209356
% 53.54/53.93 Kept: 67435
% 53.54/53.93 Inuse: 1259
% 53.54/53.93 Deleted: 989
% 53.54/53.93 Deletedinuse: 11
% 53.54/53.93
% 53.54/53.93 Resimplifying inuse:
% 53.54/53.93 Done
% 53.54/53.93
% 53.54/53.93 Resimplifying inuse:
% 53.54/53.93 Done
% 53.54/53.93
% 53.54/53.93
% 53.54/53.93 Intermediate Status:
% 53.54/53.93 Generated: 220516
% 53.54/53.93 Kept: 70905
% 53.54/53.93 Inuse: 1274
% 53.54/53.93 Deleted: 989
% 53.54/53.93 Deletedinuse: 11
% 53.54/53.93
% 53.54/53.93 Resimplifying inuse:
% 53.54/53.93 Done
% 53.54/53.93
% 53.54/53.93 Resimplifying inuse:
% 53.54/53.93 Done
% 53.54/53.93
% 53.54/53.93
% 53.54/53.93 Intermediate Status:
% 53.54/53.93 Generated: 228508
% 53.54/53.93 Kept: 72932
% 53.54/53.93 Inuse: 1309
% 53.54/53.93 Deleted: 989
% 53.54/53.93 Deletedinuse: 11
% 53.54/53.93
% 53.54/53.93 Resimplifying inuse:
% 53.54/53.93 Done
% 53.54/53.93
% 53.54/53.93 Resimplifying inuse:
% 53.54/53.93 Done
% 53.54/53.93
% 53.54/53.93
% 53.54/53.93 Intermediate Status:
% 53.54/53.93 Generated: 238602
% 53.54/53.93 Kept: 75612
% 53.54/53.93 Inuse: 1339
% 53.54/53.93 Deleted: 989
% 53.54/53.93 Deletedinuse: 11
% 53.54/53.93
% 53.54/53.93 Resimplifying inuse:
% 53.54/53.93 Done
% 53.54/53.93
% 53.54/53.93 Resimplifying inuse:
% 53.54/53.93 Done
% 53.54/53.93
% 53.54/53.93
% 53.54/53.93 Intermediate Status:
% 53.54/53.93 Generated: 247943
% 53.54/53.93 Kept: 77621
% 53.54/53.93 Inuse: 1373
% 53.54/53.93 Deleted: 989
% 53.54/53.93 Deletedinuse: 11
% 53.54/53.93
% 53.54/53.93 Resimplifying inuse:
% 53.54/53.93 Done
% 53.54/53.93
% 53.54/53.93 Resimplifying inuse:
% 53.54/53.93 Done
% 53.54/53.93
% 53.54/53.93
% 53.54/53.93 Intermediate Status:
% 53.54/53.93 Generated: 258902
% 53.54/53.93 Kept: 80109
% 53.54/53.93 Inuse: 1419
% 53.54/53.93 Deleted: 989
% 53.54/53.93 Deletedinuse: 11
% 53.54/53.93
% 53.54/53.93 Resimplifying inuse:
% 53.54/53.93 Done
% 53.54/53.93
% 53.54/53.93 Resimplifying clauses:
% 53.54/53.93 Done
% 53.54/53.93
% 53.54/53.93 Resimplifying inuse:
% 53.54/53.93 Done
% 53.54/53.93
% 53.54/53.93
% 53.54/53.93 Intermediate Status:
% 53.54/53.93 Generated: 267123
% 53.54/53.93 Kept: 82118
% 53.54/53.93 Inuse: 1451
% 53.54/53.93 Deleted: 1265
% 53.54/53.93 Deletedinuse: 11
% 53.54/53.93
% 53.54/53.93 Resimplifying inuse:
% 53.54/53.93 Done
% 53.54/53.93
% 53.54/53.93 Resimplifying inuse:
% 53.54/53.93 Done
% 53.54/53.93
% 53.54/53.93
% 53.54/53.93 Intermediate Status:
% 53.54/53.93 Generated: 275909
% 53.54/53.93 Kept: 84131
% 53.54/53.93 Inuse: 1482
% 53.54/53.93 Deleted: 1265
% 53.54/53.93 Deletedinuse: 11
% 53.54/53.93
% 53.54/53.93 Resimplifying inuse:
% 53.54/53.93 Done
% 53.54/53.93
% 53.54/53.93 Resimplifying inuse:
% 53.54/53.93 Done
% 53.54/53.93
% 53.54/53.93
% 53.54/53.93 Intermediate Status:
% 53.54/53.93 Generated: 288619
% 53.54/53.93 Kept: 88952
% 53.54/53.93 Inuse: 1519
% 53.54/53.93 Deleted: 1265
% 53.54/53.93 Deletedinuse: 11
% 53.54/53.93
% 53.54/53.93 Resimplifying inuse:
% 53.54/53.93 Done
% 53.54/53.93
% 53.54/53.93
% 53.54/53.93 Intermediate Status:
% 53.54/53.93 Generated: 302772
% 53.54/53.93 Kept: 90970
% 53.54/53.93 Inuse: 1529
% 53.54/53.93 Deleted: 1265
% 53.54/53.93 Deletedinuse: 11
% 53.54/53.93
% 53.54/53.93 Resimplifying inuse:
% 53.54/53.93 Done
% 53.54/53.93
% 53.54/53.93 Resimplifying inuse:
% 53.54/53.93 Done
% 53.54/53.93
% 53.54/53.93
% 53.54/53.93 Intermediate Status:
% 53.54/53.93 Generated: 310644
% 53.54/53.93 Kept: 92983
% 53.54/53.93 Inuse: 1556
% 53.54/53.93 Deleted: 1265
% 53.54/53.93 Deletedinuse: 11
% 53.54/53.93
% 53.54/53.93 Resimplifying inuse:
% 53.54/53.93 Done
% 53.54/53.93
% 53.54/53.93
% 53.54/53.93 Intermediate Status:
% 53.54/53.93 Generated: 320930
% 53.54/53.93 Kept: 96688
% 53.54/53.93 Inuse: 1575
% 53.54/53.93 Deleted: 1265
% 53.54/53.93 Deletedinuse: 11
% 53.54/53.93
% 53.54/53.93 Resimplifying inuse:
% 53.54/53.93 Done
% 53.54/53.93
% 53.54/53.93 Resimplifying inuse:
% 53.54/53.93 Done
% 53.54/53.93
% 53.54/53.93
% 53.54/53.93 Intermediate Status:
% 53.54/53.93 Generated: 327811
% 53.54/53.93 Kept: 98760
% 53.54/53.93 Inuse: 1603
% 53.54/53.93 Deleted: 1266
% 53.54/53.93 Deletedinuse: 11
% 53.54/53.93
% 53.54/53.93 Resimplifying inuse:
% 53.54/53.93 Done
% 53.54/53.93
% 53.54/53.93 Resimplifying inuse:
% 53.54/53.93 Done
% 53.54/53.93
% 53.54/53.93
% 53.54/53.93 Intermediate Status:
% 53.54/53.93 Generated: 335366
% 53.54/53.93 Kept: 100944
% 53.54/53.93 Inuse: 1628
% 53.54/53.93 Deleted: 1266
% 53.54/53.93 Deletedinuse: 11
% 53.54/53.93
% 53.54/53.93 Resimplifying clauses:
% 53.54/53.93 Done
% 53.54/53.93
% 53.54/53.93 Resimplifying inuse:
% 53.54/53.93 Done
% 53.54/53.93
% 53.54/53.93 Resimplifying inuse:
% 53.54/53.93 Done
% 53.54/53.93
% 53.54/53.93
% 53.54/53.93 Intermediate Status:
% 53.54/53.93 Generated: 344580
% 53.54/53.93 Kept: 103059
% 53.54/53.93 Inuse: 1673
% 53.54/53.93 Deleted: 1679
% 53.54/53.93 Deletedinuse: 13
% 53.54/53.93
% 53.54/53.93 Resimplifying inuse:
% 53.54/53.93 Done
% 53.54/53.93
% 53.54/53.93 Resimplifying inuse:
% 53.54/53.93 Done
% 53.54/53.93
% 53.54/53.93
% 53.54/53.93 Intermediate Status:
% 53.54/53.93 Generated: 352200
% 53.54/53.93 Kept: 105066
% 53.54/53.93 Inuse: 1698
% 53.54/53.93 Deleted: 1680
% 53.54/53.93 Deletedinuse: 14
% 53.54/53.93
% 53.54/53.93 Resimplifying inuse:
% 53.54/53.93 Done
% 53.54/53.93
% 53.54/53.93 Resimplifying inuse:
% 53.54/53.93 Done
% 53.54/53.93
% 53.54/53.93
% 53.54/53.93 Intermediate Status:
% 53.54/53.93 Generated: 359995
% 53.54/53.93 Kept: 107312
% 53.54/53.93 Inuse: 1723
% 53.54/53.93 Deleted: 1680
% 53.54/53.93 Deletedinuse: 14
% 53.54/53.93
% 53.54/53.93 Resimplifying inuse:
% 53.54/53.93 Done
% 53.54/53.93
% 53.54/53.93 Resimplifying inuse:
% 53.54/53.93 Done
% 53.54/53.93
% 53.54/53.93
% 53.54/53.93 Intermediate Status:
% 53.54/53.93 Generated: 366053
% 53.54/53.93 Kept: 109331
% 53.54/53.93 Inuse: 1748
% 53.54/53.93 Deleted: 1680
% 53.54/53.93 Deletedinuse: 14
% 53.54/53.93
% 53.54/53.93 Resimplifying inuse:
% 53.54/53.93 Done
% 53.54/53.93
% 53.54/53.93 Resimplifying inuse:
% 53.54/53.93 Done
% 53.54/53.93
% 53.54/53.93
% 53.54/53.93 Intermediate Status:
% 53.54/53.93 Generated: 375787
% 53.54/53.93 Kept: 111736
% 53.54/53.93 Inuse: 1773
% 53.54/53.93 Deleted: 1680
% 53.54/53.93 Deletedinuse: 14
% 53.54/53.93
% 53.54/53.93 Resimplifying inuse:
% 53.54/53.93 Done
% 53.54/53.93
% 53.54/53.93 Resimplifying inuse:
% 53.54/53.93 Done
% 53.54/53.93
% 53.54/53.93
% 53.54/53.93 Intermediate Status:
% 53.54/53.93 Generated: 385306
% 53.54/53.93 Kept: 113928
% 53.54/53.93 Inuse: 1798
% 53.54/53.93 Deleted: 1680
% 53.54/53.93 Deletedinuse: 14
% 53.54/53.93
% 53.54/53.93 Resimplifying inuse:
% 53.54/53.93 Done
% 53.54/53.93
% 53.54/53.93 Resimplifying inuse:
% 53.54/53.93 Done
% 53.54/53.93
% 53.54/53.93
% 53.54/53.93 Intermediate Status:
% 53.54/53.93 Generated: 393083
% 53.54/53.93 Kept: 115946
% 53.54/53.93 Inuse: 1828
% 53.54/53.93 Deleted: 1680
% 53.54/53.93 Deletedinuse: 14
% 53.54/53.93
% 53.54/53.93
% 53.54/53.93 Intermediate Status:
% 102.31/102.77 Generated: 400781
% 102.31/102.77 Kept: 120671
% 102.31/102.77 Inuse: 1833
% 102.31/102.77 Deleted: 1680
% 102.31/102.77 Deletedinuse: 14
% 102.31/102.77
% 102.31/102.77 Resimplifying inuse:
% 102.31/102.77 Done
% 102.31/102.77
% 102.31/102.77
% 102.31/102.77 Intermediate Status:
% 102.31/102.77 Generated: 408826
% 102.31/102.77 Kept: 123041
% 102.31/102.77 Inuse: 1838
% 102.31/102.77 Deleted: 1680
% 102.31/102.77 Deletedinuse: 14
% 102.31/102.77
% 102.31/102.77 Resimplifying inuse:
% 102.31/102.77 Done
% 102.31/102.77
% 102.31/102.77 Resimplifying clauses:
% 102.31/102.77 Done
% 102.31/102.77
% 102.31/102.77 Resimplifying inuse:
% 102.31/102.77 Done
% 102.31/102.77
% 102.31/102.77
% 102.31/102.77 Intermediate Status:
% 102.31/102.77 Generated: 424508
% 102.31/102.77 Kept: 125044
% 102.31/102.77 Inuse: 1845
% 102.31/102.77 Deleted: 1837
% 102.31/102.77 Deletedinuse: 14
% 102.31/102.77
% 102.31/102.77 Resimplifying inuse:
% 102.31/102.77 Done
% 102.31/102.77
% 102.31/102.77
% 102.31/102.77 Intermediate Status:
% 102.31/102.77 Generated: 441750
% 102.31/102.77 Kept: 127385
% 102.31/102.77 Inuse: 1863
% 102.31/102.77 Deleted: 1843
% 102.31/102.77 Deletedinuse: 15
% 102.31/102.77
% 102.31/102.77 Resimplifying inuse:
% 102.31/102.77 Done
% 102.31/102.77
% 102.31/102.77 Resimplifying inuse:
% 102.31/102.77 Done
% 102.31/102.77
% 102.31/102.77
% 102.31/102.77 Intermediate Status:
% 102.31/102.77 Generated: 452943
% 102.31/102.77 Kept: 129438
% 102.31/102.77 Inuse: 1884
% 102.31/102.77 Deleted: 1848
% 102.31/102.77 Deletedinuse: 16
% 102.31/102.77
% 102.31/102.77 Resimplifying inuse:
% 102.31/102.77 Done
% 102.31/102.77
% 102.31/102.77 Resimplifying inuse:
% 102.31/102.77 Done
% 102.31/102.77
% 102.31/102.77
% 102.31/102.77 Intermediate Status:
% 102.31/102.77 Generated: 460779
% 102.31/102.77 Kept: 131567
% 102.31/102.77 Inuse: 1913
% 102.31/102.77 Deleted: 1855
% 102.31/102.77 Deletedinuse: 17
% 102.31/102.77
% 102.31/102.77
% 102.31/102.77 Intermediate Status:
% 102.31/102.77 Generated: 476186
% 102.31/102.77 Kept: 135966
% 102.31/102.77 Inuse: 1918
% 102.31/102.77 Deleted: 1855
% 102.31/102.77 Deletedinuse: 17
% 102.31/102.77
% 102.31/102.77 Resimplifying inuse:
% 102.31/102.77 Done
% 102.31/102.77
% 102.31/102.77 Resimplifying inuse:
% 102.31/102.77 Done
% 102.31/102.77
% 102.31/102.77
% 102.31/102.77 Intermediate Status:
% 102.31/102.77 Generated: 483365
% 102.31/102.77 Kept: 137976
% 102.31/102.77 Inuse: 1942
% 102.31/102.77 Deleted: 1856
% 102.31/102.77 Deletedinuse: 18
% 102.31/102.77
% 102.31/102.77 Resimplifying inuse:
% 102.31/102.77 Done
% 102.31/102.77
% 102.31/102.77 Resimplifying inuse:
% 102.31/102.77 Done
% 102.31/102.77
% 102.31/102.77
% 102.31/102.77 Intermediate Status:
% 102.31/102.77 Generated: 489821
% 102.31/102.77 Kept: 140257
% 102.31/102.77 Inuse: 1958
% 102.31/102.77 Deleted: 1856
% 102.31/102.77 Deletedinuse: 18
% 102.31/102.77
% 102.31/102.77 Resimplifying inuse:
% 102.31/102.77 Done
% 102.31/102.77
% 102.31/102.77
% 102.31/102.77 Intermediate Status:
% 102.31/102.77 Generated: 502405
% 102.31/102.77 Kept: 143174
% 102.31/102.77 Inuse: 1973
% 102.31/102.77 Deleted: 1856
% 102.31/102.77 Deletedinuse: 18
% 102.31/102.77
% 102.31/102.77 Resimplifying inuse:
% 102.31/102.77 Done
% 102.31/102.77
% 102.31/102.77 Resimplifying clauses:
% 102.31/102.77 Done
% 102.31/102.77
% 102.31/102.77 Resimplifying inuse:
% 102.31/102.77 Done
% 102.31/102.77
% 102.31/102.77
% 102.31/102.77 Intermediate Status:
% 102.31/102.77 Generated: 512983
% 102.31/102.77 Kept: 145515
% 102.31/102.77 Inuse: 2008
% 102.31/102.77 Deleted: 3005
% 102.31/102.77 Deletedinuse: 19
% 102.31/102.77
% 102.31/102.77 Resimplifying inuse:
% 102.31/102.77 Done
% 102.31/102.77
% 102.31/102.77
% 102.31/102.77 Intermediate Status:
% 102.31/102.77 Generated: 525691
% 102.31/102.77 Kept: 148735
% 102.31/102.77 Inuse: 2018
% 102.31/102.77 Deleted: 3005
% 102.31/102.77 Deletedinuse: 19
% 102.31/102.77
% 102.31/102.77 Resimplifying inuse:
% 102.31/102.77 Done
% 102.31/102.77
% 102.31/102.77
% 102.31/102.77 Intermediate Status:
% 102.31/102.77 Generated: 535328
% 102.31/102.77 Kept: 151250
% 102.31/102.77 Inuse: 2023
% 102.31/102.77 Deleted: 3006
% 102.31/102.77 Deletedinuse: 20
% 102.31/102.77
% 102.31/102.77 Resimplifying inuse:
% 102.31/102.77 Done
% 102.31/102.77
% 102.31/102.77 Resimplifying inuse:
% 102.31/102.77 Done
% 102.31/102.77
% 102.31/102.77
% 102.31/102.77 Intermediate Status:
% 102.31/102.77 Generated: 543570
% 102.31/102.77 Kept: 153480
% 102.31/102.77 Inuse: 2043
% 102.31/102.77 Deleted: 3007
% 102.31/102.77 Deletedinuse: 21
% 102.31/102.77
% 102.31/102.77 Resimplifying inuse:
% 102.31/102.77 Done
% 102.31/102.77
% 102.31/102.77 Resimplifying inuse:
% 102.31/102.77 Done
% 102.31/102.77
% 102.31/102.77
% 102.31/102.77 Intermediate Status:
% 102.31/102.77 Generated: 553073
% 102.31/102.77 Kept: 155968
% 102.31/102.77 Inuse: 2063
% 102.31/102.77 Deleted: 3007
% 102.31/102.77 Deletedinuse: 21
% 102.31/102.77
% 102.31/102.77 Resimplifying inuse:
% 102.31/102.77 Done
% 102.31/102.77
% 102.31/102.77 Resimplifying inuse:
% 102.31/102.77 Done
% 102.31/102.77
% 102.31/102.77
% 102.31/102.77 Intermediate Status:
% 102.31/102.77 Generated: 561762
% 102.31/102.77 Kept: 157999
% 102.31/102.77 Inuse: 2083
% 102.31/102.77 Deleted: 3007
% 102.31/102.77 Deletedinuse: 21
% 102.31/102.77
% 102.31/102.77 Resimplifying inuse:
% 102.31/102.77 Done
% 102.31/102.77
% 102.31/102.77 Resimplifying inuse:
% 102.31/102.77 Done
% 102.31/102.77
% 102.31/102.77
% 102.31/102.77 Intermediate Status:
% 102.31/102.77 Generated: 574903
% 102.31/102.77 Kept: 161395
% 102.31/102.77 Inuse: 2098
% 102.31/102.77 Deleted: 3007
% 102.31/102.77 Deletedinuse: 21
% 102.31/102.77
% 102.31/102.77 Resimplifying inuse:
% 102.31/102.77 Done
% 102.31/102.77
% 102.31/102.77
% 102.31/102.77 Intermediate Status:
% 102.31/102.77 Generated: 584448
% 102.31/102.77 Kept: 163780
% 102.31/102.77 Inuse: 2103
% 102.31/102.77 Deleted: 3007
% 102.31/102.77 Deletedinuse: 21
% 102.31/102.77
% 102.31/102.77 Resimplifying inuse:
% 102.31/102.77 Done
% 102.31/102.77
% 102.31/102.77 Resimplifying clauses:
% 102.31/102.77 Done
% 102.31/102.77
% 102.31/102.77 Resimplifying inuse:
% 102.31/102.77 Done
% 102.31/102.77
% 102.31/102.77
% 102.31/102.77 Intermediate Status:
% 102.31/102.77 Generated: 594692
% 102.31/102.77 Kept: 166103
% 102.31/102.77 Inuse: 2128
% 102.31/102.77 Deleted: 6898
% 102.31/102.77 Deletedinuse: 21
% 102.31/102.77
% 102.31/102.77 Resimplifying inuse:
% 102.31/102.77 Done
% 102.31/102.77
% 102.31/102.77 Resimplifying inuse:
% 102.31/102.77 Done
% 102.31/102.77
% 102.31/102.77
% 102.31/102.77 Intermediate Status:
% 102.31/102.77 Generated: 603554
% 102.31/102.77 Kept: 168283
% 102.31/102.77 Inuse: 2148
% 102.31/102.77 Deleted: 6898
% 102.31/102.77 Deletedinuse: 21
% 102.31/102.77
% 102.31/102.77 Resimplifying inuse:
% 102.31/102.77 Done
% 102.31/102.77
% 102.31/102.77 Resimplifying inuse:
% 102.31/102.77 Done
% 102.31/102.77
% 102.31/102.77
% 102.31/102.77 Intermediate Status:
% 102.31/102.77 Generated: 612306
% 102.31/102.77 Kept: 170359
% 102.31/102.77 Inuse: 2168
% 102.31/102.77 Deleted: 6898
% 102.31/102.77 Deletedinuse: 21
% 102.31/102.77
% 102.31/102.77 Resimplifying inuse:
% 102.31/102.77 Done
% 102.31/102.77
% 102.31/102.77 Resimplifying inuse:
% 102.31/102.77 Done
% 102.31/102.77
% 102.31/102.77
% 102.31/102.77 Intermediate Status:
% 102.31/102.77 Generated: 622289
% 102.31/102.77 Kept: 172373
% 102.31/102.77 Inuse: 2196
% 102.31/102.77 Deleted: 6898
% 102.31/102.77 Deletedinuse: 21
% 102.31/102.77
% 102.31/102.77 Resimplifying inuse:
% 102.31/102.77 Done
% 102.31/102.77
% 102.31/102.77
% 102.31/102.77 Intermediate Status:
% 102.31/102.77 Generated: 637742
% 102.31/102.77 Kept: 174973
% 102.31/102.77 Inuse: 2217
% 102.31/102.77 Deleted: 6902
% 102.31/102.77 Deletedinuse: 24
% 102.31/102.77
% 102.31/102.77 Resimplifying inuse:
% 102.31/102.77 Done
% 102.31/102.77
% 102.31/102.77
% 102.31/102.77 Intermediate Status:
% 102.31/102.77 Generated: 648298
% 102.31/102.77 Kept: 177591
% 102.31/102.77 Inuse: 2222
% 102.31/102.77 Deleted: 6902
% 102.31/102.77 Deletedinuse: 24
% 102.31/102.77
% 102.31/102.77 Resimplifying inuse:
% 102.31/102.77 Done
% 102.31/102.77
% 102.31/102.77
% 102.31/102.77 Intermediate Status:
% 102.31/102.77 Generated: 659170
% 102.31/102.77 Kept: 180242
% 102.31/102.77 Inuse: 2227
% 102.31/102.77 Deleted: 6902
% 102.31/102.77 Deletedinuse: 24
% 102.31/102.77
% 102.31/102.77 Resimplifying inuse:
% 176.77/177.26 Done
% 176.77/177.26
% 176.77/177.26 Resimplifying inuse:
% 176.77/177.26 Done
% 176.77/177.26
% 176.77/177.26
% 176.77/177.26 Intermediate Status:
% 176.77/177.26 Generated: 668972
% 176.77/177.26 Kept: 182387
% 176.77/177.26 Inuse: 2247
% 176.77/177.26 Deleted: 6902
% 176.77/177.26 Deletedinuse: 24
% 176.77/177.26
% 176.77/177.26 Resimplifying inuse:
% 176.77/177.26 Done
% 176.77/177.26
% 176.77/177.26 Resimplifying inuse:
% 176.77/177.26 Done
% 176.77/177.26
% 176.77/177.26 Resimplifying clauses:
% 176.77/177.26 Done
% 176.77/177.26
% 176.77/177.26
% 176.77/177.26 Intermediate Status:
% 176.77/177.26 Generated: 677379
% 176.77/177.26 Kept: 184472
% 176.77/177.26 Inuse: 2267
% 176.77/177.26 Deleted: 7500
% 176.77/177.26 Deletedinuse: 24
% 176.77/177.26
% 176.77/177.26 Resimplifying inuse:
% 176.77/177.26 Done
% 176.77/177.26
% 176.77/177.26 Resimplifying inuse:
% 176.77/177.26 Done
% 176.77/177.26
% 176.77/177.26
% 176.77/177.26 Intermediate Status:
% 176.77/177.26 Generated: 686855
% 176.77/177.26 Kept: 187007
% 176.77/177.26 Inuse: 2287
% 176.77/177.26 Deleted: 7501
% 176.77/177.26 Deletedinuse: 25
% 176.77/177.26
% 176.77/177.26 Resimplifying inuse:
% 176.77/177.26 Done
% 176.77/177.26
% 176.77/177.26 Resimplifying inuse:
% 176.77/177.26 Done
% 176.77/177.26
% 176.77/177.26
% 176.77/177.26 Intermediate Status:
% 176.77/177.26 Generated: 696011
% 176.77/177.26 Kept: 189368
% 176.77/177.26 Inuse: 2307
% 176.77/177.26 Deleted: 7501
% 176.77/177.26 Deletedinuse: 25
% 176.77/177.26
% 176.77/177.26 Resimplifying inuse:
% 176.77/177.26 Done
% 176.77/177.26
% 176.77/177.26
% 176.77/177.26 Intermediate Status:
% 176.77/177.26 Generated: 712615
% 176.77/177.26 Kept: 192663
% 176.77/177.26 Inuse: 2317
% 176.77/177.26 Deleted: 7501
% 176.77/177.26 Deletedinuse: 25
% 176.77/177.26
% 176.77/177.26 Resimplifying inuse:
% 176.77/177.26 Done
% 176.77/177.26
% 176.77/177.26
% 176.77/177.26 Intermediate Status:
% 176.77/177.26 Generated: 727126
% 176.77/177.26 Kept: 195438
% 176.77/177.26 Inuse: 2322
% 176.77/177.26 Deleted: 7501
% 176.77/177.26 Deletedinuse: 25
% 176.77/177.26
% 176.77/177.26 Resimplifying inuse:
% 176.77/177.26 Done
% 176.77/177.26
% 176.77/177.26 Resimplifying inuse:
% 176.77/177.26 Done
% 176.77/177.26
% 176.77/177.26
% 176.77/177.26 Intermediate Status:
% 176.77/177.26 Generated: 735102
% 176.77/177.26 Kept: 197465
% 176.77/177.26 Inuse: 2346
% 176.77/177.26 Deleted: 7501
% 176.77/177.26 Deletedinuse: 25
% 176.77/177.26
% 176.77/177.26 Resimplifying inuse:
% 176.77/177.26 Done
% 176.77/177.26
% 176.77/177.26 Resimplifying inuse:
% 176.77/177.26 Done
% 176.77/177.26
% 176.77/177.26
% 176.77/177.26 Intermediate Status:
% 176.77/177.26 Generated: 744497
% 176.77/177.26 Kept: 199768
% 176.77/177.26 Inuse: 2367
% 176.77/177.26 Deleted: 7501
% 176.77/177.26 Deletedinuse: 25
% 176.77/177.26
% 176.77/177.26 Resimplifying inuse:
% 176.77/177.26 Done
% 176.77/177.26
% 176.77/177.26 Resimplifying inuse:
% 176.77/177.26 Done
% 176.77/177.26
% 176.77/177.26
% 176.77/177.26 Intermediate Status:
% 176.77/177.26 Generated: 752036
% 176.77/177.26 Kept: 201887
% 176.77/177.26 Inuse: 2387
% 176.77/177.26 Deleted: 7501
% 176.77/177.26 Deletedinuse: 25
% 176.77/177.26
% 176.77/177.26 Resimplifying inuse:
% 176.77/177.26 Done
% 176.77/177.26
% 176.77/177.26 Resimplifying inuse:
% 176.77/177.26 Done
% 176.77/177.26
% 176.77/177.26
% 176.77/177.26 Intermediate Status:
% 176.77/177.26 Generated: 759627
% 176.77/177.26 Kept: 203939
% 176.77/177.26 Inuse: 2407
% 176.77/177.26 Deleted: 7501
% 176.77/177.26 Deletedinuse: 25
% 176.77/177.26
% 176.77/177.26 Resimplifying inuse:
% 176.77/177.26 Done
% 176.77/177.26
% 176.77/177.26 Resimplifying clauses:
% 176.77/177.26 Done
% 176.77/177.26
% 176.77/177.26 Resimplifying inuse:
% 176.77/177.26 Done
% 176.77/177.26
% 176.77/177.26
% 176.77/177.26 Intermediate Status:
% 176.77/177.26 Generated: 767693
% 176.77/177.26 Kept: 206011
% 176.77/177.26 Inuse: 2432
% 176.77/177.26 Deleted: 7884
% 176.77/177.26 Deletedinuse: 25
% 176.77/177.26
% 176.77/177.26 Resimplifying inuse:
% 176.77/177.26 Done
% 176.77/177.26
% 176.77/177.26 Resimplifying inuse:
% 176.77/177.26 Done
% 176.77/177.26
% 176.77/177.26
% 176.77/177.26 Intermediate Status:
% 176.77/177.26 Generated: 776932
% 176.77/177.26 Kept: 208253
% 176.77/177.26 Inuse: 2452
% 176.77/177.26 Deleted: 7884
% 176.77/177.26 Deletedinuse: 25
% 176.77/177.26
% 176.77/177.26 Resimplifying inuse:
% 176.77/177.26 Done
% 176.77/177.26
% 176.77/177.26 Resimplifying inuse:
% 176.77/177.26 Done
% 176.77/177.26
% 176.77/177.26
% 176.77/177.26 Intermediate Status:
% 176.77/177.26 Generated: 786328
% 176.77/177.26 Kept: 210360
% 176.77/177.26 Inuse: 2477
% 176.77/177.26 Deleted: 7885
% 176.77/177.26 Deletedinuse: 26
% 176.77/177.26
% 176.77/177.26 Resimplifying inuse:
% 176.77/177.26 Done
% 176.77/177.26
% 176.77/177.26 Resimplifying inuse:
% 176.77/177.26 Done
% 176.77/177.26
% 176.77/177.26
% 176.77/177.26 Intermediate Status:
% 176.77/177.26 Generated: 793800
% 176.77/177.26 Kept: 212368
% 176.77/177.26 Inuse: 2497
% 176.77/177.26 Deleted: 7885
% 176.77/177.26 Deletedinuse: 26
% 176.77/177.26
% 176.77/177.26 Resimplifying inuse:
% 176.77/177.26 Done
% 176.77/177.26
% 176.77/177.26 Resimplifying inuse:
% 176.77/177.26 Done
% 176.77/177.26
% 176.77/177.26
% 176.77/177.26 Intermediate Status:
% 176.77/177.26 Generated: 801782
% 176.77/177.26 Kept: 214531
% 176.77/177.26 Inuse: 2522
% 176.77/177.26 Deleted: 7885
% 176.77/177.26 Deletedinuse: 26
% 176.77/177.26
% 176.77/177.26 Resimplifying inuse:
% 176.77/177.26 Done
% 176.77/177.26
% 176.77/177.26 Resimplifying inuse:
% 176.77/177.26 Done
% 176.77/177.26
% 176.77/177.26
% 176.77/177.26 Intermediate Status:
% 176.77/177.26 Generated: 808947
% 176.77/177.26 Kept: 216724
% 176.77/177.26 Inuse: 2542
% 176.77/177.26 Deleted: 7885
% 176.77/177.26 Deletedinuse: 26
% 176.77/177.26
% 176.77/177.26 Resimplifying inuse:
% 176.77/177.26 Done
% 176.77/177.26
% 176.77/177.26 Resimplifying inuse:
% 176.77/177.26 Done
% 176.77/177.26
% 176.77/177.26
% 176.77/177.26 Intermediate Status:
% 176.77/177.26 Generated: 817557
% 176.77/177.26 Kept: 218750
% 176.77/177.26 Inuse: 2562
% 176.77/177.26 Deleted: 7885
% 176.77/177.26 Deletedinuse: 26
% 176.77/177.26
% 176.77/177.26 Resimplifying inuse:
% 176.77/177.26 Done
% 176.77/177.26
% 176.77/177.26 Resimplifying inuse:
% 176.77/177.26 Done
% 176.77/177.26
% 176.77/177.26
% 176.77/177.26 Intermediate Status:
% 176.77/177.26 Generated: 828517
% 176.77/177.26 Kept: 221639
% 176.77/177.26 Inuse: 2587
% 176.77/177.26 Deleted: 7885
% 176.77/177.26 Deletedinuse: 26
% 176.77/177.26
% 176.77/177.26 Resimplifying inuse:
% 176.77/177.26 Done
% 176.77/177.26
% 176.77/177.26 Resimplifying inuse:
% 176.77/177.26 Done
% 176.77/177.26
% 176.77/177.26
% 176.77/177.26 Intermediate Status:
% 176.77/177.26 Generated: 837761
% 176.77/177.26 Kept: 223643
% 176.77/177.26 Inuse: 2610
% 176.77/177.26 Deleted: 7885
% 176.77/177.26 Deletedinuse: 26
% 176.77/177.26
% 176.77/177.26 Resimplifying inuse:
% 176.77/177.26 Done
% 176.77/177.26
% 176.77/177.26 Resimplifying clauses:
% 176.77/177.26 Done
% 176.77/177.26
% 176.77/177.26 Resimplifying inuse:
% 176.77/177.26 Done
% 176.77/177.26
% 176.77/177.26
% 176.77/177.26 Intermediate Status:
% 176.77/177.26 Generated: 846723
% 176.77/177.26 Kept: 225927
% 176.77/177.26 Inuse: 2632
% 176.77/177.26 Deleted: 8451
% 176.77/177.26 Deletedinuse: 26
% 176.77/177.26
% 176.77/177.26 Resimplifying inuse:
% 176.77/177.26 Done
% 176.77/177.26
% 176.77/177.26 Resimplifying inuse:
% 176.77/177.26 Done
% 176.77/177.26
% 176.77/177.26
% 176.77/177.26 Intermediate Status:
% 176.77/177.26 Generated: 854727
% 176.77/177.26 Kept: 228100
% 176.77/177.26 Inuse: 2652
% 176.77/177.26 Deleted: 8459
% 176.77/177.26 Deletedinuse: 34
% 176.77/177.26
% 176.77/177.26 Resimplifying inuse:
% 176.77/177.26 Done
% 176.77/177.26
% 176.77/177.26
% 176.77/177.26 Intermediate Status:
% 176.77/177.26 Generated: 868965
% 176.77/177.26 Kept: 231908
% 176.77/177.26 Inuse: 2662
% 176.77/177.26 Deleted: 8460
% 176.77/177.26 Deletedinuse: 35
% 176.77/177.26
% 176.77/177.26 Resimplifying inuse:
% 176.77/177.26 Done
% 176.77/177.26
% 176.77/177.26
% 176.77/177.26 Intermediate Status:
% 176.77/177.26 Generated: 881089
% 176.77/177.26 Kept: 234995
% 176.77/177.26 Inuse: 2667
% 176.77/177.26 Deleted: 8460
% 176.77/177.26 Deletedinuse: 35
% 176.77/177.26
% 176.77/177.26 Resimplifying inuse:
% 176.77/177.26 Done
% 176.77/177.26
% 176.77/177.26 Resimplifying inuse:
% 176.77/177.26 Done
% 176.77/177.26
% 176.77/177.26
% 176.77/177.26 Intermediate Status:
% 176.77/177.26 Generated: 894748
% 176.77/177.26 Kept: 238531
% 176.77/177.26 Inuse: 2Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------