TSTP Solution File: SWV581-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV581-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Wed Jul 20 16:26:52 EDT 2022
% Result : Timeout 300.05s 300.43s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV581-1 : TPTP v8.1.0. Released v4.1.0.
% 0.13/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n008.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Wed Jun 15 07:28:52 EDT 2022
% 0.20/0.34 % CPUTime :
% 1.16/1.52 *** allocated 10000 integers for termspace/termends
% 1.16/1.52 *** allocated 10000 integers for clauses
% 1.16/1.52 *** allocated 10000 integers for justifications
% 1.16/1.52 *** allocated 15000 integers for termspace/termends
% 1.16/1.52 *** allocated 22500 integers for termspace/termends
% 1.16/1.52 *** allocated 33750 integers for termspace/termends
% 1.16/1.52 Bliksem 1.12
% 1.16/1.52
% 1.16/1.52
% 1.16/1.52 Automatic Strategy Selection
% 1.16/1.52
% 1.16/1.52 Clauses:
% 1.16/1.52 [
% 1.16/1.52 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( Y, X ), hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.16/1.52 Y, X ), Z ) ), hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), Z ) ) ],
% 1.16/1.52 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~(
% 1.16/1.52 'c_OrderedGroup_Opordered__ab__group__add'( Y, Z, T, U, W, V0, V1 ) ),
% 1.16/1.52 =( V2, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.16/1.52 'c_HOL_Ominus__class_Ominus'( X ), V2 ), V3 ) ), V3 ) ) ],
% 1.16/1.52 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~(
% 1.16/1.52 'c_OrderedGroup_Opordered__ab__group__add'( Y, Z, T, U, W, V0, V1 ) ),
% 1.16/1.52 =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.16/1.52 'c_HOL_Ominus__class_Ominus'( X ), V2 ), V3 ) ), V3 ), V2 ) ],
% 1.16/1.52 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( Y, X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) )
% 1.16/1.52 ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.16/1.52 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ),
% 1.16/1.52 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.16/1.52 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X
% 1.16/1.52 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.16/1.52 Y, X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ) ],
% 1.16/1.52 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.16/1.52 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.16/1.52 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.16/1.52 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.16/1.52 X ), Y ), Z ) ), T ) ), ~( 'c_OrderedGroup_Opordered__ab__group__add'( U
% 1.16/1.52 , W, V0, V1, V2, V3, V4 ) ) ],
% 1.16/1.52 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.16/1.52 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.16/1.52 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), hAPP(
% 1.16/1.52 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ), ~(
% 1.16/1.52 'c_OrderedGroup_Opordered__ab__group__add'( U, W, V0, V1, V2, V3, V4 ) )
% 1.16/1.52 ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP(
% 1.16/1.52 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.16/1.52 Y, X ), Z ) ), hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), hAPP(
% 1.16/1.52 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP(
% 1.16/1.52 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.16/1.52 Y, X ), Z ) ), hAPP( 'c_HOL_Otimes__class_Otimes'( hAPP(
% 1.16/1.52 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ), Z ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.16/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.16/1.52 , X ), 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ),
% 1.16/1.52 'c_HOL_Oinverse__class_Odivide'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X
% 1.16/1.52 ), T ), hAPP( 'c_HOL_Otimes__class_Otimes'( Z, X ), U ), X ) ) ],
% 1.16/1.52 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.16/1.52 'class_RealVector_Oreal__normed__vector'( Y ) ), ~(
% 1.16/1.52 'class_RealVector_Oreal__normed__vector'( Z ) ), =( hAPP( hAPP(
% 1.16/1.52 'c_HOL_Ominus__class_Ominus'( Y ), hAPP( hAPP( T, U ), W ) ), hAPP( hAPP(
% 1.16/1.52 T, V0 ), V1 ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( Y ), hAPP( hAPP(
% 1.16/1.52 'c_HOL_Oplus__class_Oplus'( Y ), hAPP( hAPP( T, hAPP( hAPP(
% 1.16/1.52 'c_HOL_Ominus__class_Ominus'( Z ), U ), V0 ) ), hAPP( hAPP(
% 1.16/1.52 'c_HOL_Ominus__class_Ominus'( X ), W ), V1 ) ) ), hAPP( hAPP( T, hAPP(
% 1.16/1.52 hAPP( 'c_HOL_Ominus__class_Ominus'( Z ), U ), V0 ) ), V1 ) ) ), hAPP(
% 1.16/1.52 hAPP( T, V0 ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), W ), V1 ) )
% 1.16/1.52 ) ), ~( 'c_RealVector_Obounded__bilinear'( T, Z, X, Y ) ) ],
% 1.16/1.52 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( 'c_Suc',
% 1.16/1.52 X ) ) ) ],
% 1.16/1.52 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( 'c_Suc',
% 1.16/1.52 X ) ) ) ],
% 1.16/1.52 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', X ), 'tc_nat' )
% 1.16/1.52 , Y ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, 'tc_nat' ), Y ) )
% 1.16/1.52 ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Z ) ) ) ]
% 1.16/1.52 ,
% 1.16/1.52 [ =( 'c_SetInterval_Oord__class_OlessThan'( hAPP( 'c_Suc', X ), 'tc_nat'
% 1.16/1.52 ), 'c_SetInterval_Oord__class_OatMost'( X, 'tc_nat' ) ) ],
% 1.16/1.52 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =( hAPP(
% 1.16/1.52 'c_RealVector_OscaleR__class_OscaleR'( Y, X ), hAPP( hAPP(
% 1.16/1.52 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.16/1.52 'c_HOL_Ominus__class_Ominus'( X ), hAPP(
% 1.16/1.52 'c_RealVector_OscaleR__class_OscaleR'( Y, X ), Z ) ), hAPP(
% 1.16/1.52 'c_RealVector_OscaleR__class_OscaleR'( Y, X ), T ) ) ) ],
% 1.16/1.52 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( hAPP(
% 1.16/1.52 'c_RealVector_OscaleR__class_OscaleR'( Y, X ), hAPP( hAPP(
% 1.16/1.52 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.16/1.52 'c_HOL_Ominus__class_Ominus'( X ), hAPP(
% 1.16/1.52 'c_RealVector_OscaleR__class_OscaleR'( Y, X ), Z ) ), hAPP(
% 1.16/1.52 'c_RealVector_OscaleR__class_OscaleR'( Y, X ), T ) ) ) ],
% 1.16/1.52 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.16/1.52 Y, Z, X ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X )
% 1.16/1.52 , T ) ) ) ],
% 1.16/1.52 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.16/1.52 Y, Z, X ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X )
% 1.16/1.52 , T ) ) ) ],
% 1.16/1.52 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.16/1.52 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.16/1.52 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), Y ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ), =( Z, Y ) ],
% 1.16/1.52 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ), hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ],
% 1.16/1.52 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ) ],
% 1.16/1.52 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), =( Z, Y ), hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ) ],
% 1.16/1.52 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( Y, X ), Z ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, X ),
% 1.16/1.52 Y ) ) ) ],
% 1.16/1.52 [ =( X, Y ), ~( hBOOL( hAPP( 'c_lessequals'( Y, 'tc_nat' ), X ) ) ), ~(
% 1.16/1.52 hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ) ) ],
% 1.16/1.52 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), hBOOL(
% 1.16/1.52 hAPP( 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), X ) ), =( Y, X ) ],
% 1.16/1.52 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), Z ) ), =( Z, Y ), hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( Z, 'tc_nat' ), Y ) ) ],
% 1.16/1.52 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), hBOOL(
% 1.16/1.52 hAPP( 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), X ) ), =( Y, X ) ],
% 1.16/1.52 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( Z, X ), Y ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ),
% 1.16/1.52 Z ) ) ) ],
% 1.16/1.52 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ), =( Z, Y ) ],
% 1.16/1.52 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( Z, X ), Y ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ),
% 1.16/1.52 Z ) ) ) ],
% 1.16/1.52 [ =( 'c_HOL_Oord__class_Oless'( 'v_n', 'tc_nat' ), 'c_lessequals'( hAPP(
% 1.16/1.52 'c_Suc', 'v_n' ), 'tc_nat' ) ) ],
% 1.16/1.52 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =( hAPP(
% 1.16/1.52 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 1.16/1.52 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), =( Y, Z ) ],
% 1.16/1.52 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP(
% 1.16/1.52 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 1.16/1.52 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), =( Y, Z ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.16/1.52 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Oinverse__class_Odivide'(
% 1.16/1.52 hAPP( 'c_HOL_Otimes__class_Otimes'( Z, X ), Y ), Y, X ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.16/1.52 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 1.16/1.52 hAPP( 'c_HOL_Otimes__class_Otimes'( Z, X ), Y ), Y, X ), Z ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.16/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 1.16/1.52 'c_HOL_Oinverse__class_Odivide'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X
% 1.16/1.52 ), Z ), Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.16/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.16/1.52 'c_HOL_Oinverse__class_Odivide'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X
% 1.16/1.52 ), Z ), Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.52 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 1.16/1.52 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 1.16/1.52 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL(
% 1.16/1.52 hAPP( 'c_lessequals'( Z, X ), Y ) ) ) ],
% 1.16/1.52 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( 'c_lessequals'(
% 1.16/1.52 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.16/1.52 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), X ),
% 1.16/1.52 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.16/1.52 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 1.16/1.52 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ) ],
% 1.16/1.52 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), hAPP( hAPP( Y, T ), U ) )
% 1.16/1.52 , hAPP( hAPP( X, Z ), U ) ), =( T, W ), =( U, W ), ~(
% 1.16/1.52 'c_Ring__and__Field_Ofield'( V0, X, V1, Y, V2, V3, W, V4, V5 ) ) ],
% 1.16/1.52 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), hAPP( hAPP( Y, U ), T ) )
% 1.16/1.52 , hAPP( hAPP( X, Z ), U ) ), =( T, W ), =( U, W ), ~(
% 1.16/1.52 'c_Ring__and__Field_Ofield'( V0, X, V1, Y, V2, V3, W, V4, V5 ) ) ],
% 1.16/1.52 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), hAPP( hAPP( Y, U ), Z ) )
% 1.16/1.52 , hAPP( hAPP( X, T ), U ) ), =( Z, W ), =( U, W ), ~(
% 1.16/1.52 'c_Ring__and__Field_Ofield'( V0, X, V1, Y, V2, V3, W, V4, V5 ) ) ],
% 1.16/1.52 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), hAPP( hAPP( Y, Z ), U ) )
% 1.16/1.52 , hAPP( hAPP( X, T ), U ) ), =( Z, W ), =( U, W ), ~(
% 1.16/1.52 'c_Ring__and__Field_Ofield'( V0, X, V1, Y, V2, V3, W, V4, V5 ) ) ],
% 1.16/1.52 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), Y ) ), hAPP( hAPP( X, U ),
% 1.16/1.52 T ) ), =( Y, W ), =( T, W ), ~( 'c_Ring__and__Field_Ofield'( V0, X, U, Z
% 1.16/1.52 , V1, V2, W, V3, V4 ) ) ],
% 1.16/1.52 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, Y ), T ) ), hAPP( hAPP( X, U ),
% 1.16/1.52 T ) ), =( T, W ), =( Y, W ), ~( 'c_Ring__and__Field_Ofield'( V0, X, U, Z
% 1.16/1.52 , V1, V2, W, V3, V4 ) ) ],
% 1.16/1.52 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), U ) ), hAPP( hAPP( Z, hAPP(
% 1.16/1.52 hAPP( X, Y ), T ) ), U ) ), ~( 'c_Ring__and__Field_Ofield'( W, Z, V0, X,
% 1.16/1.52 V1, V2, V3, V4, V5 ) ) ],
% 1.16/1.52 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ), hAPP( hAPP( Y, hAPP(
% 1.16/1.52 hAPP( X, Z ), U ) ), T ) ), ~( 'c_Ring__and__Field_Ofield'( W, Y, V0, X,
% 1.16/1.52 V1, V2, V3, V4, V5 ) ) ],
% 1.16/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), ~( hBOOL(
% 1.16/1.52 hAPP( 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X )
% 1.16/1.52 , 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.16/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ),
% 1.16/1.52 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.16/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ],
% 1.16/1.52 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =( hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( Y, X ), Z ), hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( Z, X ), Y ) ), ~(
% 1.16/1.52 'c_OrderedGroup_Opordered__ab__group__add'( T, U, W, V0, V1, V2, V3 ) ) ]
% 1.16/1.52 ,
% 1.16/1.52 [ =( hAPP( 'c_Fun_Ofcomp'( X, Y, Z, T, U ), W ), hAPP( Y, hAPP( X, W ) )
% 1.16/1.52 ) ],
% 1.16/1.52 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( 'c_lessequals'(
% 1.16/1.52 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ), Y ) ) ]
% 1.16/1.52 ,
% 1.16/1.52 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( 'c_lessequals'(
% 1.16/1.52 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ), Z ) ) ]
% 1.16/1.52 ,
% 1.16/1.52 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 1.16/1.52 X ), Y ) ) ],
% 1.16/1.52 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 1.16/1.52 X ), Z ) ) ],
% 1.16/1.52 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( Y, X ), 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 1.16/1.52 T, X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), T ) ) ), ~( hBOOL(
% 1.16/1.52 hAPP( 'c_lessequals'( Y, X ), Z ) ) ) ],
% 1.16/1.52 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( Y, X ), 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 1.16/1.52 T, X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), T ) ) ), ~( hBOOL(
% 1.16/1.52 hAPP( 'c_lessequals'( Y, X ), Z ) ) ) ],
% 1.16/1.52 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( Y, X ), 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 1.16/1.52 T, X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), T ) ) ), ~( hBOOL(
% 1.16/1.52 hAPP( 'c_lessequals'( Y, X ), Z ) ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), ~( hBOOL(
% 1.16/1.52 hAPP( 'c_lessequals'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), Z ), X
% 1.16/1.52 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ), ~( hBOOL(
% 1.16/1.52 hAPP( 'c_lessequals'( hAPP( 'c_HOL_Otimes__class_Otimes'( Z, X ), Y ), X
% 1.16/1.52 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL(
% 1.16/1.52 hAPP( 'c_lessequals'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), Z ), X
% 1.16/1.52 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL(
% 1.16/1.52 hAPP( 'c_lessequals'( hAPP( 'c_HOL_Otimes__class_Otimes'( Z, X ), Y ), X
% 1.16/1.52 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.16/1.52 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X
% 1.16/1.52 ), Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.16/1.52 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.16/1.52 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.16/1.52 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X
% 1.16/1.52 ), Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.16/1.52 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.16/1.52 X ), X ), Y ) ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.16/1.52 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X
% 1.16/1.52 ), Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.16/1.52 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.16/1.52 X ), X ), Z ) ) ) ],
% 1.16/1.52 [ hBOOL( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), U ) ) ), ~( hBOOL( hAPP(
% 1.16/1.52 hAPP( X, Y ), U ) ) ), ~( hBOOL( hAPP( hAPP( X, Y ), T ) ) ), ~(
% 1.16/1.52 'c_Ring__and__Field_Opordered__ring'( W, Y, X, V0, Z, V1, V2, V3 ) ) ]
% 1.16/1.52 ,
% 1.16/1.52 [ hBOOL( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), U ) ) ), ~( hBOOL( hAPP(
% 1.16/1.52 hAPP( X, U ), Y ) ) ), ~( hBOOL( hAPP( hAPP( X, T ), Y ) ) ), ~(
% 1.16/1.52 'c_Ring__and__Field_Opordered__ring'( W, Y, X, V0, Z, V1, V2, V3 ) ) ]
% 1.16/1.52 ,
% 1.16/1.52 [ hBOOL( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), hAPP( hAPP( Y, Z ), U
% 1.16/1.52 ) ) ), ~( hBOOL( hAPP( hAPP( X, Z ), W ) ) ), ~( hBOOL( hAPP( hAPP( X, U
% 1.16/1.52 ), T ) ) ), ~( 'c_Ring__and__Field_Opordered__ring'( V0, W, X, V1, Y, V2
% 1.16/1.52 , V3, V4 ) ) ],
% 1.16/1.52 [ hBOOL( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), U ) ) ), ~( hBOOL( hAPP(
% 1.16/1.52 hAPP( X, U ), Y ) ) ), ~( hBOOL( hAPP( hAPP( X, T ), Y ) ) ), ~(
% 1.16/1.52 'c_Ring__and__Field_Opordered__ring'( W, Y, X, V0, Z, V1, V2, V3 ) ) ]
% 1.16/1.52 ,
% 1.16/1.52 [ hBOOL( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), hAPP( hAPP( Y, U ), T
% 1.16/1.52 ) ) ), ~( hBOOL( hAPP( hAPP( X, T ), W ) ) ), ~( hBOOL( hAPP( hAPP( X, U
% 1.16/1.52 ), Z ) ) ), ~( 'c_Ring__and__Field_Opordered__ring'( V0, W, X, V1, Y, V2
% 1.16/1.52 , V3, V4 ) ) ],
% 1.16/1.52 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 1.16/1.52 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.16/1.52 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 1.16/1.52 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.16/1.52 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 1.16/1.52 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 1.16/1.52 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 1.16/1.52 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.16/1.52 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 1.16/1.52 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.16/1.52 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ),
% 1.16/1.52 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 1.16/1.52 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.16/1.52 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.16/1.52 Z, hAPP( 'c_Suc', T ), 'tc_nat' ), 'tc_nat', X ),
% 1.16/1.52 'c_HOL_Ozero__class_Ozero'( X ) ), ~( hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( T, 'tc_nat' ), Z ) ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.16/1.52 X ), Z ), T ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), T )
% 1.16/1.52 ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.16/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), Z ), X ),
% 1.16/1.52 hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), T ) ) ), ~( hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ), ~( hBOOL(
% 1.16/1.52 hAPP( 'c_lessequals'( Z, X ), T ) ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), Z ), X ),
% 1.16/1.52 hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), T ) ) ), ~( hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ), ~( hBOOL(
% 1.16/1.52 hAPP( 'c_lessequals'( Z, X ), T ) ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), Z ), X ),
% 1.16/1.52 hAPP( 'c_HOL_Otimes__class_Otimes'( T, X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL(
% 1.16/1.52 hAPP( 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), Z ), X ),
% 1.16/1.52 hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), T ) ) ), ~( hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL(
% 1.16/1.52 hAPP( 'c_lessequals'( T, X ), Z ) ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), Z ), X ),
% 1.16/1.52 hAPP( 'c_HOL_Otimes__class_Otimes'( T, X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL(
% 1.16/1.52 hAPP( 'c_lessequals'( T, X ), Y ) ) ) ],
% 1.16/1.52 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 1.16/1.52 'c_RealVector_Oadditive'( 'c_HOL_Otimes__class_Otimes'( Y, X ), X, X ) ]
% 1.16/1.52 ,
% 1.16/1.52 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 1.16/1.52 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.16/1.52 'c_Lattices_Oupper__semilattice__class_Osup'( Y, hAPP(
% 1.16/1.52 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ), Y ), hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ]
% 1.16/1.52 ,
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.16/1.52 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( Z, X ), T ) ), hAPP( hAPP(
% 1.16/1.52 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.16/1.52 Z, X ), U ) ) ) ), =( T, U ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.16/1.52 ,
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =( hAPP(
% 1.16/1.52 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.16/1.52 Y, X ), Y ) ), hAPP( 'c_HOL_Otimes__class_Otimes'( Z, X ), Z ) ),
% 1.16/1.52 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.16/1.52 ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =( hAPP(
% 1.16/1.52 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.16/1.52 Y, X ), Y ) ), hAPP( 'c_HOL_Otimes__class_Otimes'( Z, X ), Z ) ),
% 1.16/1.52 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 1.16/1.52 ) ) ],
% 1.16/1.52 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.16/1.52 'c_HOL_Ominus__class_Ominus'( X ), Y ), hAPP( hAPP(
% 1.16/1.52 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.16/1.52 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.16/1.52 X ), Y ), T ) ), Z ) ), ~( 'c_OrderedGroup_Opordered__ab__group__add'( U
% 1.16/1.52 , W, V0, V1, V2, V3, V4 ) ) ],
% 1.16/1.52 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.16/1.52 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.16/1.52 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.16/1.52 'c_HOL_Ominus__class_Ominus'( X ), Y ), hAPP( hAPP(
% 1.16/1.52 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ), ~(
% 1.16/1.52 'c_OrderedGroup_Opordered__ab__group__add'( U, W, V0, V1, V2, V3, V4 ) )
% 1.16/1.52 ],
% 1.16/1.52 [ ~( =( X, hAPP( 'c_Suc', X ) ) ) ],
% 1.16/1.52 [ ~( =( hAPP( 'c_Suc', X ), X ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( 'c_HOL_Otimes__class_Otimes'( Z
% 1.16/1.52 , X ), T ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.16/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X
% 1.16/1.52 ), Z ) ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 1.16/1.52 ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.16/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( 'c_HOL_Otimes__class_Otimes'( T
% 1.16/1.52 , X ), Z ) ) ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), Z
% 1.16/1.52 ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.16/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Oinverse__class_Odivide'( T, Z
% 1.16/1.52 , X ) ) ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T
% 1.16/1.52 , X ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.16/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), T
% 1.16/1.52 ), X ), Z ) ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 1.16/1.52 ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( T, X ), Z ) ) ) ), ~( hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.16/1.52 ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T
% 1.16/1.52 , X ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( Y, X ), T ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) )
% 1.16/1.52 ],
% 1.16/1.52 [ ~( 'class_OrderedGroup_Osemigroup__mult'( X ) ), =( hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X )
% 1.16/1.52 , Z ), X ), T ), hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( Z, X ), T ) ) ), ~(
% 1.16/1.52 'c_Ring__and__Field_Oring'( U, W, V0, V1, V2, V3 ) ) ],
% 1.16/1.52 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =( hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( Y, X ), hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.16/1.52 Z, X ), T ) ), hAPP( 'c_HOL_Otimes__class_Otimes'( Z, X ), hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( Y, X ), T ) ) ), ~(
% 1.16/1.52 'c_Ring__and__Field_Oring'( U, W, V0, V1, V2, V3 ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =( hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.16/1.52 , Y ), Z ), X ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( Y, X ), T ) ), hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( Z, X ), T ) ) ), ~(
% 1.16/1.52 'c_Ring__and__Field_Oring'( U, W, V0, V1, V2, V3 ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =( hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( Y, X ), hAPP( hAPP(
% 1.16/1.52 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.16/1.52 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X
% 1.16/1.52 ), Z ) ), hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), T ) ) ), ~(
% 1.16/1.52 'c_Ring__and__Field_Oring'( U, W, V0, V1, V2, V3 ) ) ],
% 1.16/1.52 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.16/1.52 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ), Z ) ) ) ]
% 1.16/1.52 ,
% 1.16/1.52 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.16/1.52 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y, X ), X ), Z ) ) ) ]
% 1.16/1.52 ,
% 1.16/1.52 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( Y, X ), 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 1.16/1.52 T, X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), Z ) ) ) ],
% 1.16/1.52 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( Y, X ), 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 1.16/1.52 T, X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.16/1.52 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.16/1.52 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ), Z ) ) ) ]
% 1.16/1.52 ,
% 1.16/1.52 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.16/1.52 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y, X ), X ), Z ) ) ) ]
% 1.16/1.52 ,
% 1.16/1.52 [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 1.16/1.52 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 1.16/1.52 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), ~( hBOOL(
% 1.16/1.52 hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ) ],
% 1.16/1.52 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 1.16/1.52 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 1.16/1.52 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ],
% 1.16/1.52 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =( hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( Y, X ), hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.16/1.52 Z, X ), T ) ), hAPP( 'c_HOL_Otimes__class_Otimes'( Z, X ), hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( Y, X ), T ) ) ), ~(
% 1.16/1.52 'c_Ring__and__Field_Ofield'( U, W, V0, V1, V2, V3, V4, V5, V6 ) ) ],
% 1.16/1.52 [ ~( 'class_OrderedGroup_Osemigroup__mult'( X ) ), =( hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X )
% 1.16/1.52 , Z ), X ), T ), hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( Z, X ), T ) ) ), ~(
% 1.16/1.52 'c_Ring__and__Field_Ofield'( U, W, V0, V1, V2, V3, V4, V5, V6 ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =( hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( Y, X ), hAPP( hAPP(
% 1.16/1.52 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.16/1.52 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X
% 1.16/1.52 ), Z ) ), hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), T ) ) ), ~(
% 1.16/1.52 'c_Ring__and__Field_Ofield'( U, W, V0, V1, V2, V3, V4, V5, V6 ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =( hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.16/1.52 , Y ), Z ), X ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( Y, X ), T ) ), hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( Z, X ), T ) ) ), ~(
% 1.16/1.52 'c_Ring__and__Field_Ofield'( U, W, V0, V1, V2, V3, V4, V5, V6 ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.16/1.52 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.16/1.52 X ), Y ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.16/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oinverse__class_Odivide'( Y
% 1.16/1.52 , Z, X ) ) ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.16/1.52 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.16/1.52 X ), Z ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.16/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oinverse__class_Odivide'( Z
% 1.16/1.52 , Y, X ) ) ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.16/1.52 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.16/1.52 X ), Z ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.16/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oinverse__class_Odivide'( Y
% 1.16/1.52 , Z, X ) ) ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.16/1.52 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.16/1.52 X ), Y ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.16/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oinverse__class_Odivide'( Z
% 1.16/1.52 , Y, X ) ) ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ),
% 1.16/1.52 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.16/1.52 , ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.16/1.52 ) ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ),
% 1.16/1.52 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.16/1.52 , ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.16/1.52 ) ) ) ],
% 1.16/1.52 [ 'c_Finite__Set_Ofinite'( 'c_SetInterval_Oord__class_OatMost'( X,
% 1.16/1.52 'tc_nat' ), 'tc_nat' ) ],
% 1.16/1.52 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( Y, X ), Y ), Y ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.16/1.52 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X
% 1.16/1.52 ), Z ), X ), hAPP( 'c_HOL_Otimes__class_Otimes'( T, X ), U ) ) ), ~(
% 1.16/1.52 hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) )
% 1.16/1.52 ), ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.16/1.52 , Y ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), U ) ) ),
% 1.16/1.52 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.16/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP(
% 1.16/1.52 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.16/1.52 ), T ), X ), Z ) ) ), ~( 'c_Ring__and__Field_Opordered__ring'( U, W, V0
% 1.16/1.52 , V1, V2, V3, V4, V5 ) ) ],
% 1.16/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.16/1.52 ), Z ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.16/1.52 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), T ), Z ) ) ) ), ~(
% 1.16/1.52 'c_Ring__and__Field_Opordered__ring'( U, W, V0, V1, V2, V3, V4, V5 ) ) ]
% 1.16/1.52 ,
% 1.16/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X )
% 1.16/1.52 , Y ), Z ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X )
% 1.16/1.52 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ) ), ~(
% 1.16/1.52 'c_Ring__and__Field_Opordered__ring'( U, W, V0, V1, V2, V3, V4, V5 ) ) ]
% 1.16/1.52 ,
% 1.16/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.16/1.52 X ), Z ), T ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.16/1.52 'c_HOL_Ominus__class_Ominus'( X ), Y ), T ), X ), Z ) ) ), ~(
% 1.16/1.52 'c_Ring__and__Field_Opordered__ring'( U, W, V0, V1, V2, V3, V4, V5 ) ) ]
% 1.16/1.52 ,
% 1.16/1.52 [ ~( =( hAPP( X, hAPP( Y, Z ) ), hAPP( T, hAPP( U, W ) ) ) ), =( hAPP(
% 1.16/1.52 'c_Fun_Ocomp'( X, Y, V0, V1, V2 ), Z ), hAPP( 'c_Fun_Ocomp'( T, U, V3, V1
% 1.16/1.52 , V4 ), W ) ) ],
% 1.16/1.52 [ ~( =( 'c_Fun_Ocomp'( X, Y, Z, T, U ), 'c_Fun_Ocomp'( W, V0, V1, T, U )
% 1.16/1.52 ) ), =( hAPP( X, hAPP( Y, V2 ) ), hAPP( W, hAPP( V0, V2 ) ) ) ],
% 1.16/1.52 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( 'c_Suc',
% 1.16/1.52 Y ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) )
% 1.16/1.52 ) ],
% 1.16/1.52 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), ~( hBOOL(
% 1.16/1.52 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', X ), 'tc_nat' ), Y ) ) )
% 1.16/1.52 ],
% 1.16/1.52 [ hBOOL( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 1.16/1.52 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ), ~( hBOOL(
% 1.16/1.52 hAPP( X, T ) ) ) ],
% 1.16/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.16/1.52 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.16/1.52 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( T, X ), U ) ) ) ],
% 1.16/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.16/1.52 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.16/1.52 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( T, X ), U ) ), ~( hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ) ],
% 1.16/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.16/1.52 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.16/1.52 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( Z, X ), Y ) ), ~( hBOOL( hAPP( 'c_lessequals'( U, X ), T
% 1.16/1.52 ) ) ) ],
% 1.16/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.16/1.52 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.16/1.52 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( U, X ), T ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, X ), Y
% 1.16/1.52 ) ) ) ],
% 1.16/1.52 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), =( Y, Z ), ~( hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( Y, X ), Z ) ) ) ],
% 1.16/1.52 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.16/1.52 Y, X ), Z ) ) ) ],
% 1.16/1.52 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), =( X, Y
% 1.16/1.52 ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ) ) ],
% 1.16/1.52 [ =( X, Y ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y )
% 1.16/1.52 ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ) ) ],
% 1.16/1.52 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), =( X, Y
% 1.16/1.52 ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ) ) ],
% 1.16/1.52 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), =( Y, Z ), ~( hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( Y, X ), Z ) ) ) ],
% 1.16/1.52 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.16/1.52 Y, X ), Z ) ) ), =( Y, Z ) ],
% 1.16/1.52 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( Y, X ), Z ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.16/1.52 Y, X ), Z ) ) ],
% 1.16/1.52 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.16/1.52 Y, X ), Z ) ) ) ],
% 1.16/1.52 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.16/1.52 Y, X ), Z ) ) ), =( Z, Y ) ],
% 1.16/1.52 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), =( Z, Y ), ~( hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( Y, X ), Z ) ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ),
% 1.16/1.52 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ), ~( hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL(
% 1.16/1.52 hAPP( 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ),
% 1.16/1.52 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ), ~( hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL(
% 1.16/1.52 hAPP( 'c_lessequals'( T, X ), Y ) ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( Y, X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL(
% 1.16/1.52 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ]
% 1.16/1.52 ,
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( Y, X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL(
% 1.16/1.52 hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ]
% 1.16/1.52 ,
% 1.16/1.52 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ), hAPP( hAPP( Y, hAPP(
% 1.16/1.52 hAPP( X, Z ), U ) ), hAPP( hAPP( X, T ), U ) ) ), ~(
% 1.16/1.52 'c_Ring__and__Field_Ofield'( W, X, V0, V1, Y, V2, V3, V4, V5 ) ) ],
% 1.16/1.52 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ), hAPP( hAPP( Y, hAPP(
% 1.16/1.52 hAPP( X, Z ), U ) ), hAPP( hAPP( X, T ), U ) ) ), ~(
% 1.16/1.52 'c_Ring__and__Field_Ofield'( W, X, V0, V1, V2, V3, V4, Y, V5 ) ) ],
% 1.16/1.52 [ =( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), hAPP( hAPP( Y, hAPP( X, Z ) ),
% 1.16/1.52 T ) ), ~( 'c_Ring__and__Field_Ofield'( U, Y, W, V0, V1, X, V2, V3, V4 ) )
% 1.16/1.52 ],
% 1.16/1.52 [ =( hAPP( X, Y ), hAPP( hAPP( Z, T ), Y ) ), ~(
% 1.16/1.52 'c_Ring__and__Field_Ofield'( X, Z, T, U, W, V0, V1, V2, V3 ) ) ],
% 1.16/1.52 [ =( hAPP( hAPP( X, hAPP( Y, Z ) ), T ), hAPP( Y, hAPP( hAPP( X, Z ), T
% 1.16/1.52 ) ) ), ~( 'c_Ring__and__Field_Ofield'( U, X, W, V0, V1, Y, V2, V3, V4 )
% 1.16/1.52 ) ],
% 1.16/1.52 [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_Ring__and__Field_Ofield'( T, X
% 1.16/1.52 , U, W, V0, V1, Y, V2, V3 ) ) ],
% 1.16/1.52 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( T, Y ), hAPP( U, Z ) ) ), ~(
% 1.16/1.52 'c_Ring__and__Field_Ofield'( U, X, W, T, V0, V1, V2, V3, V4 ) ) ],
% 1.16/1.52 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), hAPP( hAPP( Y, U ), W ) )
% 1.16/1.52 , hAPP( hAPP( Y, hAPP( hAPP( X, hAPP( hAPP( V0, Z ), W ) ), hAPP( hAPP(
% 1.16/1.52 V0, U ), T ) ) ), hAPP( hAPP( V0, T ), W ) ) ), =( W, V1 ), =( T, V1 ),
% 1.16/1.52 ~( 'c_Ring__and__Field_Ofield'( V2, Y, V3, V0, X, V4, V1, V5, V6 ) ) ]
% 1.16/1.52 ,
% 1.16/1.52 [ =( hAPP( hAPP( X, hAPP( Y, Z ) ), hAPP( Y, T ) ), hAPP( hAPP( U, hAPP(
% 1.16/1.52 hAPP( U, hAPP( hAPP( X, Z ), T ) ), hAPP( Y, Z ) ) ), hAPP( Y, T ) ) ),
% 1.16/1.52 =( T, W ), =( Z, W ), ~( 'c_Ring__and__Field_Ofield'( Y, V0, V1, U, V2,
% 1.16/1.52 V3, W, X, V4 ) ) ],
% 1.16/1.52 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), hAPP( hAPP( Y, U ), W ) )
% 1.16/1.52 , hAPP( hAPP( Y, hAPP( hAPP( X, hAPP( hAPP( V0, Z ), W ) ), hAPP( hAPP(
% 1.16/1.52 V0, U ), T ) ) ), hAPP( hAPP( V0, T ), W ) ) ), =( W, V1 ), =( T, V1 ),
% 1.16/1.52 ~( 'c_Ring__and__Field_Ofield'( V2, Y, V3, V0, V4, V5, V1, X, V6 ) ) ]
% 1.16/1.52 ,
% 1.16/1.52 [ =( hAPP( hAPP( X, Y ), Z ), Y ), ~( 'c_Ring__and__Field_Ofield'( T, X
% 1.16/1.52 , Z, U, W, V0, V1, V2, V3 ) ) ],
% 1.16/1.52 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ),
% 1.16/1.52 hAPP( hAPP( X, Z ), T ) ) ), ~( 'c_Ring__and__Field_Ofield'( U, W, V0, X
% 1.16/1.52 , V1, V2, V3, V4, V5 ) ) ],
% 1.16/1.52 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~(
% 1.16/1.52 'c_Ring__and__Field_Ofield'( T, U, W, X, V0, V1, V2, V3, V4 ) ) ],
% 1.16/1.52 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, Z ),
% 1.16/1.52 hAPP( hAPP( X, Y ), T ) ) ), ~( 'c_Ring__and__Field_Ofield'( U, W, V0, X
% 1.16/1.52 , V1, V2, V3, V4, V5 ) ) ],
% 1.16/1.52 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ),
% 1.16/1.52 hAPP( hAPP( X, Z ), T ) ) ), ~( 'c_Ring__and__Field_Ofield'( U, W, V0, V1
% 1.16/1.52 , V2, V3, V4, X, V5 ) ) ],
% 1.16/1.52 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~(
% 1.16/1.52 'c_Ring__and__Field_Ofield'( T, U, W, V0, V1, V2, V3, X, V4 ) ) ],
% 1.16/1.52 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, Z ),
% 1.16/1.52 hAPP( hAPP( X, Y ), T ) ) ), ~( 'c_Ring__and__Field_Ofield'( U, W, V0, V1
% 1.16/1.52 , V2, V3, V4, X, V5 ) ) ],
% 1.16/1.52 [ =( hAPP( hAPP( X, Y ), hAPP( Z, T ) ), hAPP( hAPP( U, Y ), T ) ), ~(
% 1.16/1.52 'c_Ring__and__Field_Ofield'( W, V0, V1, V2, U, Z, V3, X, V4 ) ) ],
% 1.16/1.52 [ =( hAPP( hAPP( X, hAPP( Y, Z ) ), T ), hAPP( hAPP( U, T ), Z ) ), ~(
% 1.16/1.52 'c_Ring__and__Field_Ofield'( W, V0, V1, V2, U, Y, V3, X, V4 ) ) ],
% 1.16/1.52 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), U ) ), hAPP( hAPP( Z, hAPP(
% 1.16/1.52 hAPP( X, Y ), T ) ), U ) ), ~( 'c_Ring__and__Field_Ofield'( W, V0, V1, V2
% 1.16/1.52 , Z, V3, V4, X, V5 ) ) ],
% 1.16/1.52 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ), hAPP( hAPP( Y, hAPP(
% 1.16/1.52 hAPP( X, Z ), U ) ), T ) ), ~( 'c_Ring__and__Field_Ofield'( W, V0, V1, V2
% 1.16/1.52 , Y, V3, V4, X, V5 ) ) ],
% 1.16/1.52 [ ~( 'c_Ring__and__Field_Ofield'( X, Y, Z, T, U, W, V0, V1, V2 ) ), =(
% 1.16/1.52 V3, hAPP( hAPP( V1, hAPP( hAPP( U, V3 ), V4 ) ), V4 ) ) ],
% 1.16/1.52 [ ~( 'c_Ring__and__Field_Ofield'( X, Y, Z, T, U, W, V0, V1, V2 ) ), =(
% 1.16/1.52 hAPP( hAPP( U, hAPP( hAPP( V1, V3 ), V4 ) ), V4 ), V3 ) ],
% 1.16/1.52 [ ~( 'c_Ring__and__Field_Ofield'( X, Y, Z, T, U, W, V0, V1, V2 ) ), =(
% 1.16/1.52 hAPP( hAPP( V1, hAPP( hAPP( U, V3 ), V4 ) ), V4 ), V3 ) ],
% 1.16/1.52 [ ~( 'c_Ring__and__Field_Ofield'( X, Y, Z, T, U, W, V0, V1, V2 ) ), =(
% 1.16/1.52 V3, hAPP( hAPP( U, hAPP( hAPP( V1, V3 ), V4 ) ), V4 ) ) ],
% 1.16/1.52 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ),
% 1.16/1.52 hAPP( hAPP( U, Z ), T ) ) ), ~( 'c_Ring__and__Field_Ofield'( W, V0, V1,
% 1.16/1.52 V2, X, V3, V4, U, V5 ) ) ],
% 1.16/1.52 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, hAPP(
% 1.16/1.52 hAPP( U, Y ), T ) ), Z ) ), ~( 'c_Ring__and__Field_Ofield'( W, V0, V1, V2
% 1.16/1.52 , X, V3, V4, U, V5 ) ) ],
% 1.16/1.52 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ), hAPP( hAPP( Y, hAPP(
% 1.16/1.52 hAPP( X, Z ), U ) ), hAPP( hAPP( X, T ), U ) ) ), ~(
% 1.16/1.52 'c_Ring__and__Field_Ofield'( W, V0, V1, X, V2, V3, V4, Y, V5 ) ) ],
% 1.16/1.52 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), U ) ), hAPP( hAPP( Z, hAPP(
% 1.16/1.52 hAPP( X, Y ), T ) ), hAPP( hAPP( X, Y ), U ) ) ), ~(
% 1.16/1.52 'c_Ring__and__Field_Ofield'( W, V0, V1, X, V2, V3, V4, Z, V5 ) ) ],
% 1.16/1.52 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), U ) ), hAPP( hAPP( Z, hAPP(
% 1.16/1.52 hAPP( X, Y ), T ) ), hAPP( hAPP( X, Y ), U ) ) ), ~(
% 1.16/1.52 'c_Ring__and__Field_Ofield'( W, V0, V1, X, Z, V2, V3, V4, V5 ) ) ],
% 1.16/1.52 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ), hAPP( hAPP( Y, hAPP(
% 1.16/1.52 hAPP( X, Z ), U ) ), hAPP( hAPP( X, T ), U ) ) ), ~(
% 1.16/1.52 'c_Ring__and__Field_Ofield'( W, V0, V1, X, Y, V2, V3, V4, V5 ) ) ],
% 1.16/1.52 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.16/1.52 'c_Finite__Set_Osetsum'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 1.16/1.52 'tc_bool' ) ), Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.52 [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 1.16/1.52 ) ), Y ) ) ) ],
% 1.16/1.52 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 1.16/1.52 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.16/1.52 'c_SetInterval_Oord__class_OatMost'( Y, X ),
% 1.16/1.52 'c_SetInterval_Oord__class_OgreaterThanLessThan'( Y, Z, X ), 'tc_fun'( X
% 1.16/1.52 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' )
% 1.16/1.52 ) ) ],
% 1.16/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z )
% 1.16/1.52 , T ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.16/1.52 'c_HOL_Ominus__class_Ominus'( X ), Y ), T ), X ), Z ) ) ), ~(
% 1.16/1.52 'c_Ring__and__Field_Opordered__ring'( U, W, V0, V1, V2, V3, V4, V5 ) ) ]
% 1.16/1.52 ,
% 1.16/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ),
% 1.16/1.52 X ), T ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), hAPP( hAPP(
% 1.16/1.52 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ) ), ~(
% 1.16/1.52 'c_Ring__and__Field_Opordered__ring'( U, W, V0, V1, V2, V3, V4, V5 ) ) ]
% 1.16/1.52 ,
% 1.16/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X
% 1.16/1.52 ), T ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), hAPP( hAPP(
% 1.16/1.52 'c_HOL_Ominus__class_Ominus'( X ), T ), Z ) ) ) ), ~(
% 1.16/1.52 'c_Ring__and__Field_Opordered__ring'( U, W, V0, V1, V2, V3, V4, V5 ) ) ]
% 1.16/1.52 ,
% 1.16/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Z
% 1.16/1.52 ), T ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.16/1.52 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), Z ) ) ), ~(
% 1.16/1.52 'c_Ring__and__Field_Opordered__ring'( U, W, V0, V1, V2, V3, V4, V5 ) ) ]
% 1.16/1.52 ,
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X )
% 1.16/1.52 , Z ), X ), hAPP( 'c_HOL_Otimes__class_Otimes'( T, X ), U ) ), hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( T, X ), hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.16/1.52 hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), Z ), X ), U ) ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X )
% 1.16/1.52 , Z ), X ), hAPP( 'c_HOL_Otimes__class_Otimes'( T, X ), U ) ), hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( Y, X ), hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.16/1.52 Z, X ), hAPP( 'c_HOL_Otimes__class_Otimes'( T, X ), U ) ) ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X )
% 1.16/1.52 , Z ), X ), hAPP( 'c_HOL_Otimes__class_Otimes'( T, X ), U ) ), hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X )
% 1.16/1.52 , T ), X ), hAPP( 'c_HOL_Otimes__class_Otimes'( Z, X ), U ) ) ) ],
% 1.16/1.52 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP(
% 1.16/1.52 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.16/1.52 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.52 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 1.16/1.52 'c_Lattices_Oupper__semilattice__class_Osup'( Y, hAPP(
% 1.16/1.52 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.16/1.52 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.16/1.52 'c_HOL_Ozero__class_Ozero'( X ) ) ), hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.16/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.16/1.52 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.16/1.52 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.16/1.52 'c_Finite__Set_Osetsum'( Y, Z, T, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.16/1.52 , 'c_Finite__Set_Ofinite'( Z, T ) ],
% 1.16/1.52 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.16/1.52 'c_Finite__Set_Osetsum'( Y, Z, T, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.16/1.52 , 'c_Finite__Set_Ofinite'( Z, T ) ],
% 1.16/1.52 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL(
% 1.16/1.52 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.16/1.52 X ), Y ), Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.16/1.52 , ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.16/1.52 ) ) ) ],
% 1.16/1.52 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL(
% 1.16/1.52 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.16/1.52 X ), Y ), Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL(
% 1.16/1.52 hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.16/1.52 ) ) ) ],
% 1.16/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.16/1.52 , X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ) ) ],
% 1.16/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z )
% 1.16/1.52 , X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ) ) ],
% 1.16/1.52 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 1.16/1.52 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.16/1.52 'c_Orderings_Obot__class_Obot'( X ), X ), Y ) ],
% 1.16/1.52 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 1.16/1.52 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.16/1.52 'c_Orderings_Obot__class_Obot'( X ), Y, X ), Y ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( Y, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ),
% 1.16/1.52 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ),
% 1.16/1.52 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z
% 1.16/1.52 , X ), hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), T ) ) ) ), ~( hBOOL(
% 1.16/1.52 hAPP( 'c_lessequals'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), T ), X
% 1.16/1.52 ), Z ) ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), T ) ),
% 1.16/1.52 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ),
% 1.16/1.52 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.16/1.52 hAPP( 'c_HOL_Otimes__class_Otimes'( T, X ), Z ), X ), Y ) ) ), ~( hBOOL(
% 1.16/1.52 hAPP( 'c_lessequals'( Y, X ), hAPP( 'c_HOL_Otimes__class_Otimes'( T, X )
% 1.16/1.52 , Z ) ) ) ) ],
% 1.16/1.52 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( X, hAPP( hAPP(
% 1.16/1.52 T, Y ), Z ) ), U ) ) ), ~( 'c_OrderedGroup_Opordered__ab__group__add'( T
% 1.16/1.52 , W, U, V0, V1, X, V2 ) ) ],
% 1.16/1.52 [ hBOOL( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ) ), ~( hBOOL( hAPP(
% 1.16/1.52 hAPP( X, Z ), T ) ) ), ~( 'c_OrderedGroup_Opordered__ab__group__add'( Y,
% 1.16/1.52 W, U, V0, V1, X, V2 ) ) ],
% 1.16/1.52 [ hBOOL( hAPP( hAPP( X, hAPP( Y, Z ) ), T ) ), ~( hBOOL( hAPP( hAPP( X,
% 1.16/1.52 T ), Z ) ) ), ~( 'c_OrderedGroup_Opordered__ab__group__add'( U, Y, T, W,
% 1.16/1.52 V0, X, V1 ) ) ],
% 1.16/1.52 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( X, hAPP( T, Z
% 1.16/1.52 ) ), Y ) ) ), ~( 'c_OrderedGroup_Opordered__ab__group__add'( U, T, Y, W
% 1.16/1.52 , V0, X, V1 ) ) ],
% 1.16/1.52 [ hBOOL( hAPP( hAPP( X, Y ), hAPP( Z, T ) ) ), ~( hBOOL( hAPP( hAPP( X,
% 1.16/1.52 T ), Y ) ) ), ~( 'c_OrderedGroup_Opordered__ab__group__add'( U, Z, Y, W,
% 1.16/1.52 V0, X, V1 ) ) ],
% 1.16/1.52 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( X, Z ), hAPP(
% 1.16/1.52 T, Y ) ) ) ), ~( 'c_OrderedGroup_Opordered__ab__group__add'( U, T, Z, W,
% 1.16/1.52 V0, X, V1 ) ) ],
% 1.16/1.52 [ hBOOL( hAPP( hAPP( X, hAPP( Y, Z ) ), hAPP( Y, T ) ) ), ~( hBOOL( hAPP(
% 1.16/1.52 hAPP( X, T ), Z ) ) ), ~( 'c_OrderedGroup_Opordered__ab__group__add'( U,
% 1.16/1.52 Y, W, V0, V1, X, V2 ) ) ],
% 1.16/1.52 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( X, hAPP( T, Z
% 1.16/1.52 ) ), hAPP( T, Y ) ) ) ), ~( 'c_OrderedGroup_Opordered__ab__group__add'(
% 1.16/1.52 U, T, W, V0, V1, X, V2 ) ) ],
% 1.16/1.52 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( X, hAPP( hAPP(
% 1.16/1.52 T, Y ), Z ) ), U ) ) ), ~( 'c_OrderedGroup_Opordered__ab__group__add'( T
% 1.16/1.52 , W, U, V0, X, V1, V2 ) ) ],
% 1.16/1.52 [ hBOOL( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ) ), ~( hBOOL( hAPP(
% 1.16/1.52 hAPP( X, Z ), T ) ) ), ~( 'c_OrderedGroup_Opordered__ab__group__add'( Y,
% 1.16/1.52 W, U, V0, X, V1, V2 ) ) ],
% 1.16/1.52 [ hBOOL( hAPP( hAPP( X, hAPP( Y, Z ) ), T ) ), ~( hBOOL( hAPP( hAPP( X,
% 1.16/1.52 T ), Z ) ) ), ~( 'c_OrderedGroup_Opordered__ab__group__add'( U, Y, T, W,
% 1.16/1.52 X, V0, V1 ) ) ],
% 1.16/1.52 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( X, hAPP( T, Z
% 1.16/1.52 ) ), Y ) ) ), ~( 'c_OrderedGroup_Opordered__ab__group__add'( U, T, Y, W
% 1.16/1.52 , X, V0, V1 ) ) ],
% 1.16/1.52 [ hBOOL( hAPP( hAPP( X, Y ), hAPP( Z, T ) ) ), ~( hBOOL( hAPP( hAPP( X,
% 1.16/1.52 T ), Y ) ) ), ~( 'c_OrderedGroup_Opordered__ab__group__add'( U, Z, Y, W,
% 1.16/1.52 X, V0, V1 ) ) ],
% 1.16/1.52 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( X, Z ), hAPP(
% 1.16/1.52 T, Y ) ) ) ), ~( 'c_OrderedGroup_Opordered__ab__group__add'( U, T, Z, W,
% 1.16/1.52 X, V0, V1 ) ) ],
% 1.16/1.52 [ hBOOL( hAPP( hAPP( X, hAPP( Y, Z ) ), T ) ), ~( hBOOL( hAPP( hAPP( X,
% 1.16/1.52 hAPP( Y, T ) ), Z ) ) ), ~( 'c_OrderedGroup_Opordered__ab__group__add'( U
% 1.16/1.52 , Y, W, V0, V1, X, V2 ) ) ],
% 1.16/1.52 [ hBOOL( hAPP( hAPP( X, hAPP( Y, Z ) ), T ) ), ~( hBOOL( hAPP( hAPP( X,
% 1.16/1.52 hAPP( Y, T ) ), Z ) ) ), ~( 'c_OrderedGroup_Opordered__ab__group__add'( U
% 1.16/1.52 , Y, W, V0, V1, X, V2 ) ) ],
% 1.16/1.52 [ hBOOL( hAPP( hAPP( X, Y ), hAPP( Z, T ) ) ), ~( hBOOL( hAPP( hAPP( X,
% 1.16/1.52 T ), hAPP( Z, Y ) ) ) ), ~( 'c_OrderedGroup_Opordered__ab__group__add'( U
% 1.16/1.52 , Z, W, V0, V1, X, V2 ) ) ],
% 1.16/1.52 [ hBOOL( hAPP( hAPP( X, Y ), hAPP( Z, T ) ) ), ~( hBOOL( hAPP( hAPP( X,
% 1.16/1.52 T ), hAPP( Z, Y ) ) ) ), ~( 'c_OrderedGroup_Opordered__ab__group__add'( U
% 1.16/1.52 , Z, W, V0, V1, X, V2 ) ) ],
% 1.16/1.52 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( hAPP( hAPP( X, hAPP( T, Z
% 1.16/1.52 ) ), hAPP( T, Y ) ) ) ), ~( 'c_OrderedGroup_Opordered__ab__group__add'(
% 1.16/1.52 U, T, W, V0, X, V1, V2 ) ) ],
% 1.16/1.52 [ hBOOL( hAPP( hAPP( X, hAPP( Y, Z ) ), hAPP( Y, T ) ) ), ~( hBOOL( hAPP(
% 1.16/1.52 hAPP( X, T ), Z ) ) ), ~( 'c_OrderedGroup_Opordered__ab__group__add'( U,
% 1.16/1.52 Y, W, V0, X, V1, V2 ) ) ],
% 1.16/1.52 [ hBOOL( hAPP( hAPP( X, hAPP( Y, Z ) ), T ) ), ~( hBOOL( hAPP( hAPP( X,
% 1.16/1.52 hAPP( Y, T ) ), Z ) ) ), ~( 'c_OrderedGroup_Opordered__ab__group__add'( U
% 1.16/1.52 , Y, W, V0, X, V1, V2 ) ) ],
% 1.16/1.52 [ hBOOL( hAPP( hAPP( X, hAPP( Y, Z ) ), T ) ), ~( hBOOL( hAPP( hAPP( X,
% 1.16/1.52 hAPP( Y, T ) ), Z ) ) ), ~( 'c_OrderedGroup_Opordered__ab__group__add'( U
% 1.16/1.52 , Y, W, V0, X, V1, V2 ) ) ],
% 1.16/1.52 [ hBOOL( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), U ) ) ), ~( hBOOL( hAPP(
% 1.16/1.52 hAPP( X, hAPP( hAPP( W, Y ), U ) ), T ) ) ), ~(
% 1.16/1.52 'c_OrderedGroup_Opordered__ab__group__add'( Z, V0, V1, W, V2, X, V3 ) ) ]
% 1.16/1.52 ,
% 1.16/1.52 [ hBOOL( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ) ), ~( hBOOL( hAPP(
% 1.16/1.52 hAPP( X, Z ), hAPP( hAPP( W, U ), T ) ) ) ), ~(
% 1.16/1.52 'c_OrderedGroup_Opordered__ab__group__add'( W, V0, V1, Y, V2, X, V3 ) ) ]
% 1.16/1.52 ,
% 1.16/1.52 [ hBOOL( hAPP( hAPP( X, Y ), hAPP( Z, T ) ) ), ~( hBOOL( hAPP( hAPP( X,
% 1.16/1.52 T ), hAPP( Z, Y ) ) ) ), ~( 'c_OrderedGroup_Opordered__ab__group__add'( U
% 1.16/1.52 , Z, W, V0, X, V1, V2 ) ) ],
% 1.16/1.52 [ hBOOL( hAPP( hAPP( X, Y ), hAPP( Z, T ) ) ), ~( hBOOL( hAPP( hAPP( X,
% 1.16/1.52 T ), hAPP( Z, Y ) ) ) ), ~( 'c_OrderedGroup_Opordered__ab__group__add'( U
% 1.16/1.52 , Z, W, V0, X, V1, V2 ) ) ],
% 1.16/1.52 [ hBOOL( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ) ), ~( hBOOL( hAPP(
% 1.16/1.52 hAPP( X, Z ), hAPP( hAPP( W, U ), T ) ) ) ), ~(
% 1.16/1.52 'c_OrderedGroup_Opordered__ab__group__add'( Y, V0, V1, W, V2, X, V3 ) ) ]
% 1.16/1.52 ,
% 1.16/1.52 [ hBOOL( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), U ) ) ), ~( hBOOL( hAPP(
% 1.16/1.52 hAPP( X, hAPP( hAPP( W, Y ), U ) ), T ) ) ), ~(
% 1.16/1.52 'c_OrderedGroup_Opordered__ab__group__add'( W, V0, V1, Z, V2, X, V3 ) ) ]
% 1.16/1.52 ,
% 1.16/1.52 [ hBOOL( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), U ) ) ), ~( hBOOL( hAPP(
% 1.16/1.52 hAPP( X, hAPP( hAPP( W, Y ), U ) ), T ) ) ), ~(
% 1.16/1.52 'c_OrderedGroup_Opordered__ab__group__add'( Z, V0, V1, W, X, V2, V3 ) ) ]
% 1.16/1.52 ,
% 1.16/1.52 [ hBOOL( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ) ), ~( hBOOL( hAPP(
% 1.16/1.52 hAPP( X, Z ), hAPP( hAPP( W, U ), T ) ) ) ), ~(
% 1.16/1.52 'c_OrderedGroup_Opordered__ab__group__add'( W, V0, V1, Y, X, V2, V3 ) ) ]
% 1.16/1.52 ,
% 1.16/1.52 [ hBOOL( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ) ), ~( hBOOL( hAPP(
% 1.16/1.52 hAPP( X, Z ), hAPP( hAPP( W, U ), T ) ) ) ), ~(
% 1.16/1.52 'c_OrderedGroup_Opordered__ab__group__add'( Y, V0, V1, W, X, V2, V3 ) ) ]
% 1.16/1.52 ,
% 1.16/1.52 [ hBOOL( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), U ) ) ), ~( hBOOL( hAPP(
% 1.16/1.52 hAPP( X, hAPP( hAPP( W, Y ), U ) ), T ) ) ), ~(
% 1.16/1.52 'c_OrderedGroup_Opordered__ab__group__add'( W, V0, V1, Z, X, V2, V3 ) ) ]
% 1.16/1.52 ,
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( hBOOL(
% 1.16/1.52 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.16/1.52 X ), hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), Y ) ), hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( Z, X ), Z ) ), X ),
% 1.16/1.52 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.16/1.52 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.16/1.52 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.16/1.52 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 1.16/1.52 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 1.16/1.52 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 1.16/1.52 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.16/1.52 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.16/1.52 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 1.16/1.52 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.16/1.52 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 1.16/1.52 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.16/1.52 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.16/1.52 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 1.16/1.52 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 1.16/1.52 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 1.16/1.52 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.16/1.52 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 1.16/1.52 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 1.16/1.52 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 1.16/1.52 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.16/1.52 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 1.16/1.52 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.16/1.52 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.16/1.52 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.16/1.52 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 1.16/1.52 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 1.16/1.52 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 1.16/1.52 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.16/1.52 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.16/1.52 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 1.16/1.52 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.16/1.52 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 1.16/1.52 [ ~( 'class_Lattices_Olattice'( 't_b' ) ), =( hAPP(
% 1.16/1.52 'c_Lattices_Olower__semilattice__class_Oinf'( 'v_f', 'v_g', 'tc_fun'(
% 1.16/1.52 't_a', 't_b' ) ), 'v_x' ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.16/1.52 hAPP( 'v_f', 'v_x' ), hAPP( 'v_g', 'v_x' ), 't_b' ) ) ],
% 1.16/1.52 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~(
% 1.16/1.52 'c_OrderedGroup_Opordered__ab__group__add'( Y, Z, T, U, W, V0, V1 ) ),
% 1.16/1.52 =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.16/1.52 'c_HOL_Oplus__class_Oplus'( X ), V2 ), V3 ) ), V3 ), V2 ) ],
% 1.16/1.52 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~(
% 1.16/1.52 'c_OrderedGroup_Opordered__ab__group__add'( Y, Z, T, U, W, V0, V1 ) ),
% 1.16/1.52 =( V2, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.16/1.52 'c_HOL_Oplus__class_Oplus'( X ), V2 ), V3 ) ), V3 ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.16/1.52 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.16/1.52 ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.16/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( Y, X ), Z ) ) ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.16/1.52 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.16/1.52 ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.16/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( Z, X ), Y ) ) ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.16/1.52 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.16/1.52 hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.16/1.52 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.16/1.52 X ), X ), Y ) ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( Y, X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.16/1.52 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.16/1.52 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( Y, X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL(
% 1.16/1.52 hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ]
% 1.16/1.52 ,
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( Y, X ), Y ) ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( Y, X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL(
% 1.16/1.52 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ]
% 1.16/1.52 ,
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( Y, X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL(
% 1.16/1.52 hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ]
% 1.16/1.52 ,
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), hBOOL(
% 1.16/1.52 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( Y, X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL(
% 1.16/1.52 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ]
% 1.16/1.52 ,
% 1.16/1.52 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =( hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X )
% 1.16/1.52 , Z ), X ), T ), hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( Z, X ), T ) ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X )
% 1.16/1.52 , Z ), X ), T ), hAPP( 'c_HOL_Otimes__class_Otimes'( hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( Y, X ), T ), X ), Z ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X )
% 1.16/1.52 , Z ), X ), T ), hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( Z, X ), T ) ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( Y, X ), hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.16/1.52 Z, X ), T ) ), hAPP( 'c_HOL_Otimes__class_Otimes'( hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( Y, X ), Z ), X ), T ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( Y, X ), hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.16/1.52 Z, X ), T ) ), hAPP( 'c_HOL_Otimes__class_Otimes'( Z, X ), hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( Y, X ), T ) ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( Y, X ), hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.16/1.52 Z, X ), T ) ), hAPP( 'c_HOL_Otimes__class_Otimes'( hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( Y, X ), Z ), X ), T ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 1.16/1.52 ), 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), ~( hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( U, X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), U ) ) )
% 1.16/1.52 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ), ~( hBOOL(
% 1.16/1.52 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ]
% 1.16/1.52 ,
% 1.16/1.52 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ),
% 1.16/1.52 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.16/1.52 ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ) ) ) ) ]
% 1.16/1.52 ,
% 1.16/1.52 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.16/1.52 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ) ) ), ~( hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) )
% 1.16/1.52 ],
% 1.16/1.52 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.16/1.52 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ) ) ), ~( hBOOL(
% 1.16/1.52 hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ) ],
% 1.16/1.52 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.16/1.52 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ) ) ), ~( hBOOL(
% 1.16/1.52 hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.16/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP(
% 1.16/1.52 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.16/1.52 Z, X ) ), 'c_HOL_Oinverse__class_Odivide'( Y, hAPP(
% 1.16/1.52 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP(
% 1.16/1.52 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.16/1.52 Z, X ) ), 'c_HOL_Oinverse__class_Odivide'( hAPP(
% 1.16/1.52 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z, X ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), ~( hBOOL(
% 1.16/1.52 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( Y, X ), Z ) ) ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ), ~( hBOOL(
% 1.16/1.52 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( Z, X ), Y ) ) ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ), ~( hBOOL(
% 1.16/1.52 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( Y, X ), Z ) ) ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), ~( hBOOL(
% 1.16/1.52 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( Z, X ), Y ) ) ) ) ],
% 1.16/1.52 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.16/1.52 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Y ) ), =( Y,
% 1.16/1.52 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( hBOOL(
% 1.16/1.52 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.16/1.52 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.16/1.52 'c_HOL_Ozero__class_Ozero'( X ) ) ), hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.16/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.16/1.52 ) ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X
% 1.16/1.52 ), Y ), Z ), X ), T ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ),
% 1.16/1.52 hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), T ) ), hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( Z, X ), T ) ) ), ~(
% 1.16/1.52 'c_Ring__and__Field_Opordered__ring'( U, W, V0, V1, V2, V3, V4, V5 ) ) ]
% 1.16/1.52 ,
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( Y, X ), hAPP( hAPP(
% 1.16/1.52 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.16/1.52 'c_HOL_Ominus__class_Ominus'( X ), hAPP( 'c_HOL_Otimes__class_Otimes'( Y
% 1.16/1.52 , X ), Z ) ), hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), T ) ) ), ~(
% 1.16/1.52 'c_Ring__and__Field_Opordered__ring'( U, W, V0, V1, V2, V3, V4, V5 ) ) ]
% 1.16/1.52 ,
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.16/1.52 'c_HOL_Ominus__class_Ominus'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z
% 1.16/1.52 , X ) ), 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ),
% 1.16/1.52 'c_HOL_Oinverse__class_Odivide'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.16/1.52 X ), hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), U ) ), hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( T, X ), Z ) ), hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( Z, X ), U ), X ) ), =( U,
% 1.16/1.52 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.16/1.52 ) ],
% 1.16/1.52 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 1.16/1.52 'c_Lattices_Olower__semilattice__class_Oinf'( Z, X, 'tc_fun'( T,
% 1.16/1.52 'tc_bool' ) ), Y ) ) ) ],
% 1.16/1.52 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 1.16/1.52 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 1.16/1.52 'tc_bool' ) ), Y ) ) ) ],
% 1.16/1.52 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.16/1.52 Y ), X ), Z ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( Y, X ), Z ) ) ) ],
% 1.16/1.52 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.16/1.52 Y ), X ), Z ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( Y, X ), Z ) ) ) ],
% 1.16/1.52 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( Y, X ), hAPP(
% 1.16/1.52 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP(
% 1.16/1.52 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.16/1.52 Y, X ), Z ) ) ) ],
% 1.16/1.52 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( Y, X ), hAPP(
% 1.16/1.52 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP(
% 1.16/1.52 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.16/1.52 Y, X ), Z ) ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.16/1.52 Y ), X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( Y, X ), Y ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.16/1.52 Y ), X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( Y, X ), Z ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), Z ), X ),
% 1.16/1.52 hAPP( 'c_HOL_Otimes__class_Otimes'( T, X ), U ) ) ), ~( hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL(
% 1.16/1.52 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~(
% 1.16/1.52 hBOOL( hAPP( 'c_lessequals'( Z, X ), U ) ) ), ~( hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), Z ), X ),
% 1.16/1.52 hAPP( 'c_HOL_Otimes__class_Otimes'( T, X ), U ) ) ), ~( hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL(
% 1.16/1.52 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ), ~(
% 1.16/1.52 hBOOL( hAPP( 'c_lessequals'( Z, X ), U ) ) ), ~( hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ),
% 1.16/1.52 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ),
% 1.16/1.52 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ),
% 1.16/1.52 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.16/1.52 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), Y ) ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 1.16/1.52 ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.16/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.16/1.52 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.16/1.52 X ), Z ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 1.16/1.52 ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ),
% 1.16/1.52 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Otimes__class_Otimes'( T, X ), Z
% 1.16/1.52 ), X ), Y ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( T, X ), Z ) ) ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 1.16/1.52 ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.16/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Otimes__class_Otimes'( T, X ), Z
% 1.16/1.52 ), X ), Y ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( T, X ), Z ) ) ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.16/1.52 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ),
% 1.16/1.52 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ),
% 1.16/1.52 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.16/1.52 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T
% 1.16/1.52 , X ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.16/1.52 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( T, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.16/1.52 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.16/1.52 X ), T ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T
% 1.16/1.52 , X ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ),
% 1.16/1.52 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( Z, X ), hAPP( 'c_HOL_Otimes__class_Otimes'( Y
% 1.16/1.52 , X ), T ) ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( Y, X ), T ), X ), Z ) ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T
% 1.16/1.52 , X ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.16/1.52 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( Z, X ), hAPP( 'c_HOL_Otimes__class_Otimes'( Y
% 1.16/1.52 , X ), T ) ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( Y, X ), T ), X ), Z ) ) ) ],
% 1.16/1.52 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.16/1.52 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.16/1.52 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), hAPP(
% 1.16/1.52 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ), ~(
% 1.16/1.52 'c_Ring__and__Field_Opordered__ring'( U, W, V0, V1, V2, V3, V4, V5 ) ) ]
% 1.16/1.52 ,
% 1.16/1.52 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.16/1.52 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.16/1.52 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.16/1.52 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.16/1.52 X ), Y ), Z ) ), T ) ), ~( 'c_Ring__and__Field_Opordered__ring'( U, W, V0
% 1.16/1.52 , V1, V2, V3, V4, V5 ) ) ],
% 1.16/1.52 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.16/1.52 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP(
% 1.16/1.52 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP( hAPP(
% 1.16/1.52 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), ~(
% 1.16/1.52 'c_Ring__and__Field_Oring'( T, U, W, V0, V1, V2 ) ) ],
% 1.16/1.52 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.16/1.52 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.16/1.52 ), Y ) ), Z ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Z ), Y ) )
% 1.16/1.52 , ~( 'c_Ring__and__Field_Oring'( T, U, W, V0, V1, V2 ) ) ],
% 1.16/1.52 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), X ) ), hBOOL(
% 1.16/1.52 hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( 'c_Suc', X ) ) ) ]
% 1.16/1.52 ,
% 1.16/1.52 [ ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ) ), ~(
% 1.16/1.52 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), hAPP( 'c_Suc', X )
% 1.16/1.52 ) ) ) ],
% 1.16/1.52 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( 'c_Suc',
% 1.16/1.52 Y ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ), X ) ) ]
% 1.16/1.52 ,
% 1.16/1.52 [ =( X, hAPP( 'c_Suc', Y ) ), hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' )
% 1.16/1.52 , Y ) ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), hAPP( 'c_Suc', Y
% 1.16/1.52 ) ) ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.16/1.52 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.16/1.52 X ), Y ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( Y, X ), Z ), X ), hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( Y, X ), T ) ) ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ), ~( hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Otimes__class_Otimes'( T, X ), Z
% 1.16/1.52 ), X ), hAPP( 'c_HOL_Otimes__class_Otimes'( T, X ), Y ) ) ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.16/1.52 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.16/1.52 X ), Y ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( Z, X ), Y ), X ), hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( T, X ), Y ) ) ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ), ~( hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Otimes__class_Otimes'( Z, X ), T
% 1.16/1.52 ), X ), hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), T ) ) ) ) ],
% 1.16/1.52 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 1.16/1.52 hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z, X ),
% 1.16/1.52 'c_Divides_Odiv__class_Omod'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.16/1.52 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ), Z, X ) ) ],
% 1.16/1.52 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP(
% 1.16/1.52 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.16/1.52 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ),
% 1.16/1.52 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP(
% 1.16/1.52 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 1.16/1.52 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ) ) ],
% 1.16/1.52 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 1.16/1.52 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.16/1.52 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ),
% 1.16/1.52 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP(
% 1.16/1.52 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 1.16/1.52 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.16/1.52 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ), ~( hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.16/1.52 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.16/1.52 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.16/1.52 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ), ~( hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.16/1.52 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.16/1.52 X ), X ), Y ) ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.16/1.52 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ), ~( hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.16/1.52 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.16/1.52 X ), X ), Y ) ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.16/1.52 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ), ~( hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.16/1.52 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.16/1.52 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.16/1.52 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~(
% 1.16/1.52 'class_OrderedGroup_Oab__group__add'( Y ) ), =( hAPP( Z, hAPP( hAPP(
% 1.16/1.52 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ), hAPP( hAPP(
% 1.16/1.52 'c_HOL_Ominus__class_Ominus'( Y ), hAPP( Z, T ) ), hAPP( Z, U ) ) ), ~(
% 1.16/1.52 'c_RealVector_Oadditive'( Z, X, Y ) ) ],
% 1.16/1.52 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.16/1.52 'c_HOL_Ominus__class_Ominus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.16/1.52 , hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ],
% 1.16/1.52 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 1.16/1.52 'c_RealVector_Oadditive'( 'c_RealVector_OscaleR__class_OscaleR'( Y, X ),
% 1.16/1.52 X, X ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.16/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.16/1.52 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.16/1.52 ) ), T ), 'c_HOL_Oinverse__class_Odivide'( hAPP( hAPP(
% 1.16/1.52 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.16/1.52 T, X ), Z ) ), Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.16/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.16/1.52 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Oinverse__class_Odivide'( Z
% 1.16/1.52 , T, X ) ), 'c_HOL_Oinverse__class_Odivide'( hAPP( hAPP(
% 1.16/1.52 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.16/1.52 Y, X ), T ) ), T, X ) ), =( T, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.16/1.52 'class_OrderedGroup_Oab__group__add'( Y ) ), ~(
% 1.16/1.52 'c_RealVector_Ovector__space'( Z, X, Y ) ), =( hAPP( hAPP( Z,
% 1.16/1.52 'c_HOL_Ozero__class_Ozero'( X ) ), T ), 'c_HOL_Ozero__class_Ozero'( Y ) )
% 1.16/1.52 ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.16/1.52 'class_OrderedGroup_Oab__group__add'( Y ) ), ~(
% 1.16/1.52 'c_RealVector_Ovector__space'( Z, X, Y ) ), =( hAPP( hAPP( Z, T ),
% 1.16/1.52 'c_HOL_Ozero__class_Ozero'( Y ) ), 'c_HOL_Ozero__class_Ozero'( Y ) ) ]
% 1.16/1.52 ,
% 1.16/1.52 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~(
% 1.16/1.52 'class_Ring__and__Field_Ofield'( Y ) ), =( hAPP( hAPP( Z,
% 1.16/1.52 'c_HOL_Ozero__class_Ozero'( Y ) ), T ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.16/1.52 , ~( 'c_RealVector_Ovector__space'( Z, Y, X ) ) ],
% 1.16/1.52 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~(
% 1.16/1.52 'class_Ring__and__Field_Ofield'( Y ) ), =( hAPP( hAPP( Z, hAPP(
% 1.16/1.52 'c_HOL_Ouminus__class_Ouminus'( Y ), T ) ), U ), hAPP(
% 1.16/1.52 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP( Z, T ), U ) ) ), ~(
% 1.16/1.52 'c_RealVector_Ovector__space'( Z, Y, X ) ) ],
% 1.16/1.52 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~(
% 1.16/1.52 'class_Ring__and__Field_Ofield'( Y ) ), =( hAPP( hAPP( Z, T ),
% 1.16/1.52 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 1.16/1.52 'c_RealVector_Ovector__space'( Z, Y, X ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.16/1.52 'class_OrderedGroup_Oab__group__add'( Y ) ), ~(
% 1.16/1.52 'c_RealVector_Ovector__space'( Z, X, Y ) ), =( hAPP( hAPP( Z,
% 1.16/1.52 'c_HOL_Ozero__class_Ozero'( X ) ), T ), hAPP( hAPP( Z,
% 1.16/1.52 'c_HOL_Ozero__class_Ozero'( X ) ), U ) ) ],
% 1.16/1.52 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~(
% 1.16/1.52 'class_Ring__and__Field_Ofield'( Y ) ), =( hAPP( hAPP( Z, T ), hAPP(
% 1.16/1.52 'c_HOL_Ouminus__class_Ouminus'( X ), U ) ), hAPP(
% 1.16/1.52 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP( Z, T ), U ) ) ), ~(
% 1.16/1.52 'c_RealVector_Ovector__space'( Z, Y, X ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.16/1.52 'class_OrderedGroup_Oab__group__add'( Y ) ), ~(
% 1.16/1.52 'c_RealVector_Ovector__space'( Z, X, Y ) ), =( hAPP( hAPP( Z, T ),
% 1.16/1.52 'c_HOL_Ozero__class_Ozero'( Y ) ), hAPP( hAPP( Z, U ),
% 1.16/1.52 'c_HOL_Ozero__class_Ozero'( Y ) ) ) ],
% 1.16/1.52 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.16/1.52 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.16/1.52 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP(
% 1.16/1.52 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.16/1.52 [ ~( 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.16/1.52 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.16/1.52 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP(
% 1.16/1.52 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.16/1.52 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.16/1.52 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.16/1.52 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP(
% 1.16/1.52 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.16/1.52 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.16/1.52 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.16/1.52 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP(
% 1.16/1.52 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.16/1.52 'c_HOL_Oinverse__class_Odivide'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.16/1.52 ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ),
% 1.16/1.52 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ), =( Z,
% 1.16/1.52 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.52 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ),
% 1.16/1.52 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ) ) ) ) ],
% 1.16/1.52 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ),
% 1.16/1.52 'c_Lattices_Olower__semilattice__class_Oinf'( T, Z, X ) ) ) ) ],
% 1.16/1.52 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 1.16/1.52 X ), T ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.16/1.52 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 1.16/1.52 X ), T ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, X ), T ) ) ) ],
% 1.16/1.52 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ),
% 1.16/1.52 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ) ) ) ) ],
% 1.16/1.52 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ),
% 1.16/1.52 'c_Lattices_Olower__semilattice__class_Oinf'( T, Z, X ) ) ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 1.16/1.52 ), 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ), ~( hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.16/1.52 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 1.16/1.52 ), 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ), ~( hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.16/1.52 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ), Y ) ) ) ],
% 1.16/1.52 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.16/1.52 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.16/1.52 ), Y ) ), Z ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Z ), Y ) )
% 1.16/1.52 , ~( 'c_Ring__and__Field_Ofield'( T, U, W, V0, V1, V2, V3, V4, V5 ) ) ]
% 1.16/1.52 ,
% 1.16/1.52 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.16/1.52 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP(
% 1.16/1.52 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP( hAPP(
% 1.16/1.52 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), ~(
% 1.16/1.52 'c_Ring__and__Field_Ofield'( T, U, W, V0, V1, V2, V3, V4, V5 ) ) ],
% 1.16/1.52 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 1.16/1.52 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), T, X ),
% 1.16/1.52 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X
% 1.16/1.52 ), 'c_Divides_Odiv__class_Omod'( Y, T, X ) ),
% 1.16/1.52 'c_Divides_Odiv__class_Omod'( Z, T, X ) ), T, X ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.16/1.52 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ), ~( hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.16/1.52 , ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.16/1.52 ) ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.16/1.52 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ), ~( hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.16/1.52 , ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.16/1.52 ) ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.16/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.16/1.52 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.16/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.16/1.52 ,
% 1.16/1.52 [ 'c_Finite__Set_Ofinite'( 'c_SetInterval_Oord__class_OlessThan'( X,
% 1.16/1.52 'tc_nat' ), 'tc_nat' ) ],
% 1.16/1.52 [ hBOOL( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), U ) ) ), ~( hBOOL( hAPP(
% 1.16/1.52 hAPP( X, hAPP( hAPP( W, Y ), U ) ), T ) ) ), ~(
% 1.16/1.52 'c_Ring__and__Field_Opordered__ring'( W, V0, X, V1, V2, Z, V3, V4 ) ) ]
% 1.16/1.52 ,
% 1.16/1.52 [ hBOOL( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ) ), ~( hBOOL( hAPP(
% 1.16/1.52 hAPP( X, Z ), hAPP( hAPP( W, U ), T ) ) ) ), ~(
% 1.16/1.52 'c_Ring__and__Field_Opordered__ring'( Y, V0, X, V1, V2, W, V3, V4 ) ) ]
% 1.16/1.52 ,
% 1.16/1.52 [ hBOOL( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ) ), ~( hBOOL( hAPP(
% 1.16/1.52 hAPP( X, Z ), hAPP( hAPP( W, U ), T ) ) ) ), ~(
% 1.16/1.52 'c_Ring__and__Field_Opordered__ring'( W, V0, X, V1, V2, Y, V3, V4 ) ) ]
% 1.16/1.52 ,
% 1.16/1.52 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.16/1.52 ), Y ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.16/1.52 ],
% 1.16/1.52 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.16/1.52 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.16/1.52 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ),
% 1.16/1.52 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.16/1.52 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.16/1.52 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ),
% 1.16/1.52 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.16/1.52 ), Y ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.16/1.52 ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 1.16/1.52 hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), Z ),
% 1.16/1.52 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 1.16/1.52 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =( hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( Y, X ), Z ), 'c_HOL_Ozero__class_Ozero'( X
% 1.16/1.52 ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 1.16/1.52 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =( hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( Y, X ), Z ), 'c_HOL_Ozero__class_Ozero'( X
% 1.16/1.52 ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z,
% 1.16/1.52 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.52 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), U ) ), hAPP( hAPP( Z, hAPP(
% 1.16/1.52 hAPP( X, Y ), T ) ), hAPP( hAPP( X, Y ), U ) ) ), ~(
% 1.16/1.52 'c_Ring__and__Field_Oring'( W, V0, V1, Z, X, V2 ) ) ],
% 1.16/1.52 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ), hAPP( hAPP( Y, hAPP(
% 1.16/1.52 hAPP( X, Z ), U ) ), hAPP( hAPP( X, T ), U ) ) ), ~(
% 1.16/1.52 'c_Ring__and__Field_Oring'( W, V0, V1, Y, X, V2 ) ) ],
% 1.16/1.52 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ),
% 1.16/1.52 hAPP( hAPP( X, Z ), T ) ) ), ~( 'c_Ring__and__Field_Oring'( U, W, V0, V1
% 1.16/1.52 , X, V2 ) ) ],
% 1.16/1.52 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, hAPP(
% 1.16/1.52 hAPP( U, Y ), T ) ), Z ) ), ~( 'c_Ring__and__Field_Oring'( X, W, V0, U,
% 1.16/1.52 V1, V2 ) ) ],
% 1.16/1.52 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ),
% 1.16/1.52 hAPP( hAPP( U, Z ), T ) ) ), ~( 'c_Ring__and__Field_Oring'( X, W, V0, U,
% 1.16/1.52 V1, V2 ) ) ],
% 1.16/1.52 [ ~( 'c_Ring__and__Field_Oring'( X, Y, Z, T, U, W ) ), =( V0, hAPP( hAPP(
% 1.16/1.52 X, hAPP( hAPP( T, V0 ), V1 ) ), V1 ) ) ],
% 1.16/1.52 [ ~( 'c_Ring__and__Field_Oring'( X, Y, Z, T, U, W ) ), =( hAPP( hAPP( T
% 1.16/1.52 , hAPP( hAPP( X, V0 ), V1 ) ), V1 ), V0 ) ],
% 1.16/1.52 [ ~( 'c_Ring__and__Field_Oring'( X, Y, Z, T, U, W ) ), =( hAPP( hAPP( X
% 1.16/1.52 , hAPP( hAPP( T, V0 ), V1 ) ), V1 ), V0 ) ],
% 1.16/1.52 [ ~( 'c_Ring__and__Field_Oring'( X, Y, Z, T, U, W ) ), =( V0, hAPP( hAPP(
% 1.16/1.52 T, hAPP( hAPP( X, V0 ), V1 ) ), V1 ) ) ],
% 1.16/1.52 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ), hAPP( hAPP( Y, hAPP(
% 1.16/1.52 hAPP( X, Z ), U ) ), T ) ), ~( 'c_Ring__and__Field_Oring'( Y, W, V0, X,
% 1.16/1.52 V1, V2 ) ) ],
% 1.16/1.52 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), U ) ), hAPP( hAPP( Z, hAPP(
% 1.16/1.52 hAPP( X, Y ), T ) ), U ) ), ~( 'c_Ring__and__Field_Oring'( Z, W, V0, X,
% 1.16/1.52 V1, V2 ) ) ],
% 1.16/1.52 [ =( hAPP( hAPP( X, hAPP( Y, Z ) ), T ), hAPP( hAPP( U, T ), Z ) ), ~(
% 1.16/1.52 'c_Ring__and__Field_Oring'( U, Y, W, X, V0, V1 ) ) ],
% 1.16/1.52 [ =( hAPP( hAPP( X, Y ), hAPP( Z, T ) ), hAPP( hAPP( U, Y ), T ) ), ~(
% 1.16/1.52 'c_Ring__and__Field_Oring'( U, Z, W, X, V0, V1 ) ) ],
% 1.16/1.52 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, Z ),
% 1.16/1.52 hAPP( hAPP( X, Y ), T ) ) ), ~( 'c_Ring__and__Field_Oring'( U, W, V0, X,
% 1.16/1.52 V1, V2 ) ) ],
% 1.16/1.52 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~(
% 1.16/1.52 'c_Ring__and__Field_Oring'( T, U, W, X, V0, V1 ) ) ],
% 1.16/1.52 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ),
% 1.16/1.52 hAPP( hAPP( X, Z ), T ) ) ), ~( 'c_Ring__and__Field_Oring'( U, W, V0, X,
% 1.16/1.52 V1, V2 ) ) ],
% 1.16/1.52 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), U ) ), hAPP( hAPP( Z, hAPP(
% 1.16/1.52 hAPP( X, Y ), T ) ), hAPP( hAPP( X, Y ), U ) ) ), ~(
% 1.16/1.52 'c_Ring__and__Field_Oring'( Z, W, V0, V1, X, V2 ) ) ],
% 1.16/1.52 [ =( hAPP( hAPP( X, hAPP( Y, Z ) ), T ), hAPP( hAPP( X, Z ), hAPP( Y, T
% 1.16/1.52 ) ) ), ~( 'c_Ring__and__Field_Oring'( U, Y, W, V0, X, V1 ) ) ],
% 1.16/1.52 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ), hAPP( hAPP( Y, hAPP(
% 1.16/1.52 hAPP( X, Z ), U ) ), hAPP( hAPP( X, T ), U ) ) ), ~(
% 1.16/1.52 'c_Ring__and__Field_Oring'( Y, W, V0, V1, X, V2 ) ) ],
% 1.16/1.52 [ =( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), hAPP( hAPP( Y, Z ), hAPP( X, T
% 1.16/1.52 ) ) ), ~( 'c_Ring__and__Field_Oring'( U, X, W, V0, Y, V1 ) ) ],
% 1.16/1.52 [ =( hAPP( hAPP( X, hAPP( Y, Z ) ), hAPP( Y, T ) ), hAPP( hAPP( X, Z ),
% 1.16/1.52 T ) ), ~( 'c_Ring__and__Field_Oring'( U, Y, W, V0, X, V1 ) ) ],
% 1.16/1.52 [ =( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), hAPP( hAPP( Y, hAPP( X, Z ) ),
% 1.16/1.52 T ) ), ~( 'c_Ring__and__Field_Oring'( U, X, W, V0, Y, V1 ) ) ],
% 1.16/1.52 [ ~( 'c_Ring__and__Field_Oring'( X, Y, Z, T, U, W ) ), =( hAPP( hAPP( T
% 1.16/1.52 , hAPP( hAPP( U, V0 ), V1 ) ), hAPP( hAPP( T, hAPP( hAPP( U, hAPP( hAPP(
% 1.16/1.52 X, V2 ), V0 ) ), V1 ) ), V3 ) ), hAPP( hAPP( T, hAPP( hAPP( U, V2 ), V1 )
% 1.16/1.52 ), V3 ) ) ],
% 1.16/1.52 [ ~( 'c_Ring__and__Field_Oring'( X, Y, Z, T, U, W ) ), =( hAPP( hAPP( T
% 1.16/1.52 , hAPP( hAPP( U, V0 ), V1 ) ), V2 ), hAPP( hAPP( T, hAPP( hAPP( U, V3 ),
% 1.16/1.52 V1 ) ), hAPP( hAPP( T, hAPP( hAPP( U, hAPP( hAPP( X, V0 ), V3 ) ), V1 ) )
% 1.16/1.52 , V2 ) ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.16/1.52 'c_HOL_Oinverse__class_Odivide'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.16/1.52 X ), Y ), Z ), T, X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ),
% 1.16/1.52 'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ),
% 1.16/1.52 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ) ],
% 1.16/1.52 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.16/1.52 'c_HOL_Oinverse__class_Odivide'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.16/1.52 X ), Y ), Z ), T, X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ),
% 1.16/1.52 'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ),
% 1.16/1.52 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ) ],
% 1.16/1.52 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 1.16/1.52 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.16/1.52 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.16/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ), =( Z,
% 1.16/1.52 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.52 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 1.16/1.52 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.16/1.52 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.16/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ), =( Y,
% 1.16/1.52 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.52 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.16/1.52 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.16/1.52 X ) ) ],
% 1.16/1.52 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.16/1.52 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.16/1.52 X ) ) ],
% 1.16/1.52 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.16/1.52 'c_HOL_Ominus__class_Ominus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.16/1.52 , Y ) ],
% 1.16/1.52 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.16/1.52 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.16/1.52 X ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.16/1.52 X ) ), =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ),
% 1.16/1.52 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =( hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( Y, X ), Y ), hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( Z, X ), Z ) ) ), =( Y, hAPP(
% 1.16/1.52 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), =( Y, Z ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.16/1.52 hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL(
% 1.16/1.52 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X
% 1.16/1.52 ), T ), X ), hAPP( 'c_HOL_Otimes__class_Otimes'( Z, X ), T ) ) ) ) ]
% 1.16/1.52 ,
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.16/1.52 hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL(
% 1.16/1.52 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Otimes__class_Otimes'( T, X
% 1.16/1.52 ), Y ), X ), hAPP( 'c_HOL_Otimes__class_Otimes'( T, X ), Z ) ) ) ) ]
% 1.16/1.52 ,
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.16/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), T
% 1.16/1.52 ), X ), hAPP( 'c_HOL_Otimes__class_Otimes'( Z, X ), T ) ) ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.16/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Otimes__class_Otimes'( T, X ), Y
% 1.16/1.52 ), X ), hAPP( 'c_HOL_Otimes__class_Otimes'( T, X ), Z ) ) ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( Y, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ),
% 1.16/1.52 ~( hBOOL( hAPP( 'c_lessequals'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X
% 1.16/1.52 ), T ), X ), Z ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.16/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), T ) ),
% 1.16/1.52 ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( T, X ), Z ) ) ) ), ~( hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.16/1.52 ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( Y, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ),
% 1.16/1.52 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.16/1.52 ), X ), T ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( Y, X ), T ), X ), Z ) ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), Z ), X ), T )
% 1.16/1.52 ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.16/1.52 X ), X ), Z ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ),
% 1.16/1.52 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), T ) ),
% 1.16/1.52 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.16/1.52 ), X ), Z ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( T, X ), Z ) ) ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( Y, X ), hAPP( 'c_HOL_Otimes__class_Otimes'( Z, X ), T ) )
% 1.16/1.52 ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.16/1.52 X ), X ), T ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.16/1.52 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), Z ) ) ) ],
% 1.16/1.52 [ 'c_Finite__Set_Ofinite'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 1.16/1.52 'tc_bool' ) ), X ) ],
% 1.16/1.52 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 1.16/1.52 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.16/1.52 'c_Orderings_Obot__class_Obot'( X ), X ), 'c_Orderings_Obot__class_Obot'(
% 1.16/1.52 X ) ) ],
% 1.16/1.52 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 1.16/1.52 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.16/1.52 'c_Orderings_Obot__class_Obot'( X ), Y, X ),
% 1.16/1.52 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.16/1.52 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.16/1.52 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 1.16/1.52 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 1.16/1.52 ) ) ) ],
% 1.16/1.52 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 1.16/1.52 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 1.16/1.52 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.16/1.52 ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.16/1.52 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X
% 1.16/1.52 ), Y ) ), hAPP( 'c_HOL_Otimes__class_Otimes'( Z, X ), Z ) ) ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( Y, X ), Z ) ), T ), X ), hAPP( hAPP(
% 1.16/1.52 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Otimes__class_Otimes'( U, X
% 1.16/1.52 ), Z ) ), W ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( T, X ), hAPP( hAPP(
% 1.16/1.52 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Otimes__class_Otimes'( hAPP(
% 1.16/1.52 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), U ), Y ), X ), Z ) ), W ) ) ) )
% 1.16/1.52 ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X
% 1.16/1.52 ), Z ), T ), X ), U ) ), W ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP(
% 1.16/1.52 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.16/1.52 T, X ), U ) ), Y ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.16/1.52 hAPP( 'c_HOL_Otimes__class_Otimes'( Z, X ), U ) ), W ) ) ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( Y, X ), Z ) ), T ), X ), hAPP( hAPP(
% 1.16/1.52 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Otimes__class_Otimes'( U, X
% 1.16/1.52 ), Z ) ), W ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.16/1.52 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Otimes__class_Otimes'( hAPP(
% 1.16/1.52 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), U ), X ), Z ) ), T ), X ),
% 1.16/1.52 W ) ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X
% 1.16/1.52 ), Y ), Z ), X ), T ) ), U ), X ), W ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.16/1.52 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( Y, X ), T ) ), U ), X ), hAPP( hAPP(
% 1.16/1.52 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Otimes__class_Otimes'( Z, X
% 1.16/1.52 ), T ) ), W ) ) ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ),
% 1.16/1.52 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.16/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ),
% 1.16/1.52 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, X
% 1.16/1.52 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.16/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ],
% 1.16/1.52 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~(
% 1.16/1.52 'c_Ring__and__Field_Oring'( Y, Z, T, U, W, V0 ) ), =( hAPP( hAPP(
% 1.16/1.52 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.16/1.52 X ), V1 ), V2 ) ), V2 ), V1 ) ],
% 1.16/1.52 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~(
% 1.16/1.52 'c_Ring__and__Field_Oring'( Y, Z, T, U, W, V0 ) ), =( V1, hAPP( hAPP(
% 1.16/1.52 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.16/1.52 X ), V1 ), V2 ) ), V2 ) ) ],
% 1.16/1.52 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 1.16/1.52 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.16/1.52 'c_HOL_Oplus__class_Oplus'( X ),
% 1.16/1.52 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ),
% 1.16/1.52 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ) ],
% 1.16/1.52 [ hBOOL( hAPP( 'c_lessequals'( hAPP( 'c_Suc', X ), 'tc_nat' ), Y ) ),
% 1.16/1.52 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ) ) ],
% 1.16/1.52 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), ~( hBOOL(
% 1.16/1.52 hAPP( 'c_lessequals'( hAPP( 'c_Suc', X ), 'tc_nat' ), Y ) ) ) ],
% 1.16/1.52 [ hBOOL( hAPP( 'c_lessequals'( hAPP( 'c_Suc', X ), 'tc_nat' ), Y ) ),
% 1.16/1.52 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ) ) ],
% 1.16/1.52 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), ~( hBOOL(
% 1.16/1.52 hAPP( 'c_lessequals'( hAPP( 'c_Suc', X ), 'tc_nat' ), Y ) ) ) ],
% 1.16/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.16/1.52 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z )
% 1.16/1.52 , T ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), Z ) ) ), ~( hBOOL(
% 1.16/1.52 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ) ]
% 1.16/1.52 ,
% 1.16/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.16/1.52 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z )
% 1.16/1.52 , T ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), T ) ) ), ~( hBOOL(
% 1.16/1.52 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ) ]
% 1.16/1.52 ,
% 1.16/1.52 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =( hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( Y, X ), Z ), hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( Z, X ), Y ) ), ~(
% 1.16/1.52 'c_Ring__and__Field_Oring'( T, U, W, V0, V1, V2 ) ) ],
% 1.16/1.52 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =( hAPP(
% 1.16/1.52 'c_RealVector_OscaleR__class_OscaleR'( Y, X ), hAPP(
% 1.16/1.52 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP(
% 1.16/1.52 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP(
% 1.16/1.52 'c_RealVector_OscaleR__class_OscaleR'( Y, X ), Z ) ) ) ],
% 1.16/1.52 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( hAPP(
% 1.16/1.52 'c_RealVector_OscaleR__class_OscaleR'( Y, X ), hAPP(
% 1.16/1.52 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP(
% 1.16/1.52 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP(
% 1.16/1.52 'c_RealVector_OscaleR__class_OscaleR'( Y, X ), Z ) ) ) ],
% 1.16/1.52 [ ~( 'class_Orderings_Obot'( X ) ), hBOOL( hAPP( 'c_lessequals'(
% 1.16/1.52 'c_Orderings_Obot__class_Obot'( X ), X ), Y ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 1.16/1.52 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X
% 1.16/1.52 ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X
% 1.16/1.52 ), T ), Y ), X ), Z ) ), U ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.16/1.52 X ), hAPP( 'c_HOL_Otimes__class_Otimes'( T, X ), Z ) ), U ) ) ],
% 1.16/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP(
% 1.16/1.52 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ), hAPP(
% 1.16/1.52 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ) ) ],
% 1.16/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ), hAPP(
% 1.16/1.52 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( Z, X ), Y ) ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.16/1.52 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X
% 1.16/1.52 ), Z ), X ), hAPP( 'c_HOL_Otimes__class_Otimes'( T, X ), U ) ) ), ~(
% 1.16/1.52 hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) )
% 1.16/1.52 ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.16/1.52 X ), X ), T ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), U )
% 1.16/1.52 ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.16/1.52 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.16/1.52 'c_Divides_Odiv__class_Omod'( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.16/1.52 'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ), T ), Z, X ),
% 1.16/1.52 'c_Divides_Odiv__class_Omod'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X )
% 1.16/1.52 , T ), Z, X ) ) ],
% 1.16/1.52 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.16/1.52 'class_RealVector_Oreal__normed__vector'( Y ) ), ~(
% 1.16/1.52 'class_RealVector_Oreal__normed__vector'( Z ) ), 'c_RealVector_Oadditive'(
% 1.16/1.52 hAPP( T, U ), Y, Z ), ~( 'c_RealVector_Obounded__bilinear'( T, X, Y, Z )
% 1.16/1.52 ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ),
% 1.16/1.52 'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ) ), ~( hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( Z, X ), T ) ) ) ), ~( hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL(
% 1.16/1.52 hAPP( 'c_lessequals'( Z, X ), T ) ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ),
% 1.16/1.52 'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ) ), ~( hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( Z, X ), T ) ) ) ), ~( hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ), ~( hBOOL(
% 1.16/1.52 hAPP( 'c_lessequals'( T, X ), Z ) ) ) ],
% 1.16/1.52 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 1.16/1.52 'c_SetInterval_Oord__class_OgreaterThanLessThan'( Y, Z, X ),
% 1.16/1.52 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL(
% 1.16/1.52 hAPP( 'c_lessequals'( Z, X ), Y ) ) ) ],
% 1.16/1.52 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.16/1.52 'c_HOL_Ominus__class_Ominus'( X ), Y ), hAPP( hAPP(
% 1.16/1.52 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.16/1.52 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.16/1.52 X ), Y ), T ) ), Z ) ), ~( 'c_Ring__and__Field_Oring'( U, W, V0, V1, V2,
% 1.16/1.52 V3 ) ) ],
% 1.16/1.52 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.16/1.52 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.16/1.52 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.16/1.52 'c_HOL_Ominus__class_Ominus'( X ), Y ), hAPP( hAPP(
% 1.16/1.52 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ), ~(
% 1.16/1.52 'c_Ring__and__Field_Oring'( U, W, V0, V1, V2, V3 ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 1.16/1.52 ), 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), ~( hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( U, X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), U ) ) )
% 1.16/1.52 , ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), T ) ) ), ~( hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) )
% 1.16/1.52 ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP(
% 1.16/1.52 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.16/1.52 Z, X ) ), 'c_HOL_Oinverse__class_Odivide'( Y, hAPP(
% 1.16/1.52 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ) ), =( Z,
% 1.16/1.52 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.16/1.52 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) )
% 1.16/1.52 ],
% 1.16/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ),
% 1.16/1.52 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.16/1.52 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.16/1.52 X ) ) ) ) ],
% 1.16/1.52 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.16/1.52 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.16/1.52 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.52 [ ~( 'class_OrderedGroup_Osemigroup__mult'( X ) ), =( hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X )
% 1.16/1.52 , Z ), X ), T ), hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( Z, X ), T ) ) ), ~(
% 1.16/1.52 'c_OrderedGroup_Opordered__ab__group__add'( U, W, V0, V1, V2, V3, V4 ) )
% 1.16/1.52 ],
% 1.16/1.52 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =( hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( Y, X ), hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.16/1.52 Z, X ), T ) ), hAPP( 'c_HOL_Otimes__class_Otimes'( Z, X ), hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( Y, X ), T ) ) ), ~(
% 1.16/1.52 'c_OrderedGroup_Opordered__ab__group__add'( U, W, V0, V1, V2, V3, V4 ) )
% 1.16/1.52 ],
% 1.16/1.52 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.16/1.52 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.16/1.52 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.16/1.52 'c_HOL_Ominus__class_Ominus'( X ), Y ), hAPP( hAPP(
% 1.16/1.52 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ), ~(
% 1.16/1.52 'c_Ring__and__Field_Ofield'( U, W, V0, V1, V2, V3, V4, V5, V6 ) ) ],
% 1.16/1.52 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.16/1.52 'c_HOL_Ominus__class_Ominus'( X ), Y ), hAPP( hAPP(
% 1.16/1.52 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.16/1.52 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.16/1.52 X ), Y ), T ) ), Z ) ), ~( 'c_Ring__and__Field_Ofield'( U, W, V0, V1, V2
% 1.16/1.52 , V3, V4, V5, V6 ) ) ],
% 1.16/1.52 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 1.16/1.52 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.16/1.52 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 1.16/1.52 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.16/1.52 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ),
% 1.16/1.52 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 1.16/1.52 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 1.16/1.52 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.16/1.52 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 1.16/1.52 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.16/1.52 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 1.16/1.52 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 1.16/1.52 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( hBOOL(
% 1.16/1.52 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.16/1.52 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.16/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.16/1.52 ), =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.16/1.52 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.16/1.52 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( Y, X ), Z ), hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( Z, X ), Y ) ) ],
% 1.16/1.52 [ hBOOL( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), U ) ) ), ~( hBOOL( hAPP(
% 1.16/1.52 hAPP( X, hAPP( hAPP( W, Y ), U ) ), T ) ) ), ~(
% 1.16/1.52 'c_Ring__and__Field_Opordered__ring'( Z, V0, X, V1, V2, W, V3, V4 ) ) ]
% 1.16/1.52 ,
% 1.16/1.52 [ hBOOL( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), U ) ) ), ~( hBOOL( hAPP(
% 1.16/1.52 hAPP( X, hAPP( hAPP( W, Y ), U ) ), T ) ) ), ~(
% 1.16/1.52 'c_Ring__and__Field_Opordered__ring'( W, V0, V1, X, V2, Z, V3, V4 ) ) ]
% 1.16/1.52 ,
% 1.16/1.52 [ hBOOL( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ) ), ~( hBOOL( hAPP(
% 1.16/1.52 hAPP( X, Z ), hAPP( hAPP( W, U ), T ) ) ) ), ~(
% 1.16/1.52 'c_Ring__and__Field_Opordered__ring'( Y, V0, V1, X, V2, W, V3, V4 ) ) ]
% 1.16/1.52 ,
% 1.16/1.52 [ hBOOL( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ) ), ~( hBOOL( hAPP(
% 1.16/1.52 hAPP( X, Z ), hAPP( hAPP( W, U ), T ) ) ) ), ~(
% 1.16/1.52 'c_Ring__and__Field_Opordered__ring'( W, V0, V1, X, V2, Y, V3, V4 ) ) ]
% 1.16/1.52 ,
% 1.16/1.52 [ hBOOL( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), U ) ) ), ~( hBOOL( hAPP(
% 1.16/1.52 hAPP( X, hAPP( hAPP( W, Y ), U ) ), T ) ) ), ~(
% 1.16/1.52 'c_Ring__and__Field_Opordered__ring'( Z, V0, V1, X, V2, W, V3, V4 ) ) ]
% 1.16/1.52 ,
% 1.16/1.52 [ hBOOL( hAPP( hAPP( X, hAPP( hAPP( Y, hAPP( hAPP( Z, hAPP( hAPP( T, U )
% 1.16/1.52 , W ) ), V0 ) ), V1 ) ), V2 ) ), ~( hBOOL( hAPP( hAPP( X, hAPP( hAPP( Y,
% 1.16/1.52 hAPP( hAPP( Z, U ), V0 ) ), V1 ) ), hAPP( hAPP( Y, hAPP( hAPP( Z, W ), V0
% 1.16/1.52 ) ), V2 ) ) ) ), ~( 'c_Ring__and__Field_Opordered__ring'( Y, V3, X, V4,
% 1.16/1.52 Z, T, V5, V6 ) ) ],
% 1.16/1.52 [ hBOOL( hAPP( hAPP( X, hAPP( hAPP( Y, hAPP( hAPP( Z, T ), U ) ), W ) )
% 1.16/1.52 , hAPP( hAPP( Y, hAPP( hAPP( Z, V0 ), U ) ), V1 ) ) ), ~( hBOOL( hAPP(
% 1.16/1.52 hAPP( X, hAPP( hAPP( Y, hAPP( hAPP( Z, hAPP( hAPP( V2, T ), V0 ) ), U ) )
% 1.16/1.52 , W ) ), V1 ) ) ), ~( 'c_Ring__and__Field_Opordered__ring'( Y, V3, X, V4
% 1.16/1.52 , Z, V2, V5, V6 ) ) ],
% 1.16/1.52 [ hBOOL( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, hAPP( hAPP( T, hAPP( hAPP( U
% 1.16/1.52 , W ), V0 ) ), V1 ) ), V2 ) ) ), ~( hBOOL( hAPP( hAPP( X, hAPP( hAPP( Z,
% 1.16/1.52 hAPP( hAPP( T, V0 ), V1 ) ), Y ) ), hAPP( hAPP( Z, hAPP( hAPP( T, W ), V1
% 1.16/1.52 ) ), V2 ) ) ) ), ~( 'c_Ring__and__Field_Opordered__ring'( Z, V3, X, V4,
% 1.16/1.52 T, U, V5, V6 ) ) ],
% 1.16/1.52 [ hBOOL( hAPP( hAPP( X, hAPP( hAPP( Y, hAPP( hAPP( Z, T ), U ) ), W ) )
% 1.16/1.52 , hAPP( hAPP( Y, hAPP( hAPP( Z, V0 ), U ) ), V1 ) ) ), ~( hBOOL( hAPP(
% 1.16/1.52 hAPP( X, W ), hAPP( hAPP( Y, hAPP( hAPP( Z, hAPP( hAPP( V2, V0 ), T ) ),
% 1.16/1.52 U ) ), V1 ) ) ) ), ~( 'c_Ring__and__Field_Opordered__ring'( Y, V3, X, V4
% 1.16/1.52 , Z, V2, V5, V6 ) ) ],
% 1.16/1.52 [ hBOOL( hAPP( hAPP( X, hAPP( hAPP( Y, hAPP( hAPP( Z, hAPP( hAPP( T, U )
% 1.16/1.52 , W ) ), V0 ) ), V1 ) ), V2 ) ), ~( hBOOL( hAPP( hAPP( X, hAPP( hAPP( Y,
% 1.16/1.52 hAPP( hAPP( Z, U ), V0 ) ), V1 ) ), hAPP( hAPP( Y, hAPP( hAPP( Z, W ), V0
% 1.16/1.52 ) ), V2 ) ) ) ), ~( 'c_Ring__and__Field_Opordered__ring'( Y, V3, V4, X,
% 1.16/1.52 Z, T, V5, V6 ) ) ],
% 1.16/1.52 [ hBOOL( hAPP( hAPP( X, hAPP( hAPP( Y, hAPP( hAPP( Z, T ), U ) ), W ) )
% 1.16/1.52 , hAPP( hAPP( Y, hAPP( hAPP( Z, V0 ), U ) ), V1 ) ) ), ~( hBOOL( hAPP(
% 1.16/1.52 hAPP( X, hAPP( hAPP( Y, hAPP( hAPP( Z, hAPP( hAPP( V2, T ), V0 ) ), U ) )
% 1.16/1.52 , W ) ), V1 ) ) ), ~( 'c_Ring__and__Field_Opordered__ring'( Y, V3, V4, X
% 1.16/1.52 , Z, V2, V5, V6 ) ) ],
% 1.16/1.52 [ hBOOL( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, hAPP( hAPP( T, hAPP( hAPP( U
% 1.16/1.52 , W ), V0 ) ), V1 ) ), V2 ) ) ), ~( hBOOL( hAPP( hAPP( X, hAPP( hAPP( Z,
% 1.16/1.52 hAPP( hAPP( T, V0 ), V1 ) ), Y ) ), hAPP( hAPP( Z, hAPP( hAPP( T, W ), V1
% 1.16/1.52 ) ), V2 ) ) ) ), ~( 'c_Ring__and__Field_Opordered__ring'( Z, V3, V4, X,
% 1.16/1.52 T, U, V5, V6 ) ) ],
% 1.16/1.52 [ hBOOL( hAPP( hAPP( X, hAPP( hAPP( Y, hAPP( hAPP( Z, T ), U ) ), W ) )
% 1.16/1.52 , hAPP( hAPP( Y, hAPP( hAPP( Z, V0 ), U ) ), V1 ) ) ), ~( hBOOL( hAPP(
% 1.16/1.52 hAPP( X, W ), hAPP( hAPP( Y, hAPP( hAPP( Z, hAPP( hAPP( V2, V0 ), T ) ),
% 1.16/1.52 U ) ), V1 ) ) ) ), ~( 'c_Ring__and__Field_Opordered__ring'( Y, V3, V4, X
% 1.16/1.52 , Z, V2, V5, V6 ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( hBOOL(
% 1.16/1.52 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X
% 1.16/1.52 ), Y ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), Z ), X ),
% 1.16/1.52 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, X
% 1.16/1.52 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.16/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), Z ), X ),
% 1.16/1.52 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.16/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), hBOOL(
% 1.16/1.52 hAPP( 'c_lessequals'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), Z ), X
% 1.16/1.52 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.16/1.52 Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), hBOOL(
% 1.16/1.52 hAPP( 'c_lessequals'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), Z ), X
% 1.16/1.52 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.16/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), hBOOL(
% 1.16/1.52 hAPP( 'c_lessequals'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), Z ), X
% 1.16/1.52 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.16/1.52 Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), hBOOL(
% 1.16/1.52 hAPP( 'c_lessequals'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), Z ), X
% 1.16/1.52 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.16/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ), hBOOL(
% 1.16/1.52 hAPP( 'c_lessequals'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), Z ), X
% 1.16/1.52 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.16/1.52 Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ) ],
% 1.16/1.52 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL(
% 1.16/1.52 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.16/1.52 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.16/1.52 , ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.16/1.52 ) ) ) ],
% 1.16/1.52 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL(
% 1.16/1.52 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.16/1.52 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL(
% 1.16/1.52 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.16/1.52 ) ) ) ],
% 1.16/1.52 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~(
% 1.16/1.52 'c_Ring__and__Field_Opordered__ring'( Y, Z, T, U, W, V0, V1, V2 ) ), =(
% 1.16/1.52 V3, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.16/1.52 'c_HOL_Oplus__class_Oplus'( X ), V3 ), V4 ) ), V4 ) ) ],
% 1.16/1.52 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~(
% 1.16/1.52 'c_Ring__and__Field_Opordered__ring'( Y, Z, T, U, W, V0, V1, V2 ) ), =(
% 1.16/1.52 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.16/1.52 'c_HOL_Oplus__class_Oplus'( X ), V3 ), V4 ) ), V4 ), V3 ) ],
% 1.16/1.52 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( 'c_lessequals'(
% 1.16/1.52 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.16/1.52 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 1.16/1.52 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ), X ),
% 1.16/1.52 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.16/1.52 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ) ],
% 1.16/1.52 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X
% 1.16/1.52 ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ) ],
% 1.16/1.52 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X
% 1.16/1.52 ), 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ) ],
% 1.16/1.52 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 1.16/1.52 X ), T ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, X ), T ) ) ), ~( hBOOL(
% 1.16/1.52 hAPP( 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.16/1.52 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( Y, X ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.16/1.52 Z, X ) ) ) ],
% 1.16/1.52 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( Y, X ), 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 1.16/1.52 Y, X ) ) ) ],
% 1.16/1.52 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 1.16/1.52 X ), T ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, X ), T ) ) ), ~( hBOOL(
% 1.16/1.52 hAPP( 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.16/1.52 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 1.16/1.52 X ), T ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, X ), T ) ) ), ~( hBOOL(
% 1.16/1.52 hAPP( 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), T ) ),
% 1.16/1.52 ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T )
% 1.16/1.52 ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.16/1.52 T, X ), Z ), X ), Y ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.16/1.52 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), T ) ),
% 1.16/1.52 ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T )
% 1.16/1.52 ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ),
% 1.16/1.52 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X
% 1.16/1.52 ), hAPP( 'c_HOL_Otimes__class_Otimes'( T, X ), Z ) ) ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( Y, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ),
% 1.16/1.52 ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.16/1.52 ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, X ), hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( Y, X ), T ) ) ) ), hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ]
% 1.16/1.52 ,
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( Y, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ),
% 1.16/1.52 ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.16/1.52 ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ),
% 1.16/1.52 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( Y, X ), T ), X ), Z ) ) ) ],
% 1.16/1.52 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( Y, X ), 'c_Finite__Set_Osetsum'( Z, T, U, X
% 1.16/1.52 ) ), 'c_Finite__Set_Osetsum'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( Y
% 1.16/1.52 , X ), Z, X, X, U ), T, U, X ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), =( hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( Y, X ), 'c_Finite__Set_Osetsum'( Z, T, U, X
% 1.16/1.52 ) ), 'c_Finite__Set_Osetsum'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( Y
% 1.16/1.52 , X ), Z, X, X, U ), T, U, X ) ) ],
% 1.16/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL(
% 1.16/1.52 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.16/1.52 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ) ) ],
% 1.16/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.16/1.52 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ), ~( hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.16/1.52 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( hAPP( 'c_RealVector_OscaleR__class_OscaleR'(
% 1.16/1.52 Y, X ), Z ), X ), T ), hAPP( 'c_RealVector_OscaleR__class_OscaleR'( Y, X
% 1.16/1.52 ), hAPP( 'c_HOL_Otimes__class_Otimes'( Z, X ), T ) ) ) ],
% 1.16/1.52 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( hAPP( 'c_RealVector_OscaleR__class_OscaleR'(
% 1.16/1.52 Y, X ), Z ), X ), T ), hAPP( 'c_RealVector_OscaleR__class_OscaleR'( Y, X
% 1.16/1.52 ), hAPP( 'c_HOL_Otimes__class_Otimes'( Z, X ), T ) ) ) ],
% 1.16/1.52 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( Y, X ), hAPP(
% 1.16/1.52 'c_RealVector_OscaleR__class_OscaleR'( Z, X ), T ) ), hAPP(
% 1.16/1.52 'c_RealVector_OscaleR__class_OscaleR'( Z, X ), hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( Y, X ), T ) ) ) ],
% 1.16/1.52 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( Y, X ), hAPP(
% 1.16/1.52 'c_RealVector_OscaleR__class_OscaleR'( Z, X ), T ) ), hAPP(
% 1.16/1.52 'c_RealVector_OscaleR__class_OscaleR'( Z, X ), hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( Y, X ), T ) ) ) ],
% 1.16/1.52 [ ~( 'class_RealVector_Oreal__algebra'( X ) ), =( hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( hAPP( 'c_RealVector_OscaleR__class_OscaleR'(
% 1.16/1.52 Y, X ), Z ), X ), T ), hAPP( 'c_RealVector_OscaleR__class_OscaleR'( Y, X
% 1.16/1.52 ), hAPP( 'c_HOL_Otimes__class_Otimes'( Z, X ), T ) ) ) ],
% 1.16/1.52 [ ~( 'class_RealVector_Oreal__algebra'( X ) ), =( hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( Y, X ), hAPP(
% 1.16/1.52 'c_RealVector_OscaleR__class_OscaleR'( Z, X ), T ) ), hAPP(
% 1.16/1.52 'c_RealVector_OscaleR__class_OscaleR'( Z, X ), hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( Y, X ), T ) ) ) ],
% 1.16/1.52 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 1.16/1.52 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), T, X ),
% 1.16/1.52 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X
% 1.16/1.52 ), 'c_Divides_Odiv__class_Omod'( Y, T, X ) ), Z ), T, X ) ) ],
% 1.16/1.52 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 1.16/1.52 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), T, X ),
% 1.16/1.52 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X
% 1.16/1.52 ), Y ), 'c_Divides_Odiv__class_Omod'( Z, T, X ) ), T, X ) ) ],
% 1.16/1.52 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL(
% 1.16/1.52 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.16/1.52 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL(
% 1.16/1.52 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ]
% 1.16/1.52 ,
% 1.16/1.52 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( 'c_Suc',
% 1.16/1.52 Y ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ) ) ],
% 1.16/1.52 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( 'c_Suc', Y ) ) ) ) ],
% 1.16/1.52 [ ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), X ) ) ), hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP( 'c_Suc', X ) ) ) ],
% 1.16/1.52 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.16/1.52 'c_HOL_Oinverse__class_Odivide'( hAPP(
% 1.16/1.52 'c_RealVector_OscaleR__class_OscaleR'( Y, X ), Z ), T, X ), hAPP(
% 1.16/1.52 'c_RealVector_OscaleR__class_OscaleR'( Y, X ),
% 1.16/1.52 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ) ],
% 1.16/1.52 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 1.16/1.52 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.16/1.52 'c_Lattices_Oupper__semilattice__class_Osup'( Y, hAPP(
% 1.16/1.52 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ), hAPP(
% 1.16/1.52 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), ~( hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.16/1.52 ],
% 1.16/1.52 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 1.16/1.52 'c_Lattices_Olower__semilattice__class_Oinf'( Y, hAPP(
% 1.16/1.52 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.16/1.52 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.52 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 1.16/1.52 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.16/1.52 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 1.16/1.52 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, X ), 'tc_fun'( X,
% 1.16/1.52 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 1.16/1.52 ) ],
% 1.16/1.52 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), ~( hBOOL(
% 1.16/1.52 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.16/1.52 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ) ) ) ) ],
% 1.16/1.52 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP( hAPP(
% 1.16/1.52 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ) ) ), ~( hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ],
% 1.16/1.52 [ ~( 'class_RealVector_Oreal__field'( X ) ), =(
% 1.16/1.52 'c_HOL_Oinverse__class_Odivide'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.16/1.52 X ), hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), Z ) ), hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( T, X ), U ) ), W, X ), hAPP( hAPP(
% 1.16/1.52 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X
% 1.16/1.52 ), 'c_HOL_Oinverse__class_Odivide'( hAPP( hAPP(
% 1.16/1.52 'c_HOL_Ominus__class_Ominus'( X ), Z ), U ), W, X ) ) ), hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( hAPP( hAPP(
% 1.16/1.52 'c_HOL_Ominus__class_Ominus'( X ), Y ), T ), W, X ), X ), U ) ) ) ],
% 1.16/1.52 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.16/1.52 'c_Divides_Odiv__class_Omod'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), Z
% 1.16/1.52 , X ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 1.16/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.16/1.52 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.16/1.52 X ), Z ), T ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), T ) ) ), ~(
% 1.16/1.52 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.16/1.52 X ), Z ) ) ) ],
% 1.16/1.52 [ ~( 'class_Orderings_Obot'( X ) ), =( hAPP(
% 1.16/1.52 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', X ) ), 'v_x' ),
% 1.16/1.52 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.16/1.52 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =( hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( Y, X ), Z ), hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( Z, X ), Y ) ), ~(
% 1.16/1.52 'c_Ring__and__Field_Opordered__ring'( T, U, W, V0, V1, V2, V3, V4 ) ) ]
% 1.16/1.52 ,
% 1.16/1.52 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.16/1.52 'c_Finite__Set_Osetsum'( 'c_COMBS'( 'c_COMBB'(
% 1.16/1.52 'c_HOL_Ominus__class_Ominus'( X ), Y, X, 'tc_fun'( X, X ), Z ), T, Z, X,
% 1.16/1.52 X ), U, Z, X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ),
% 1.16/1.52 'c_Finite__Set_Osetsum'( Y, U, Z, X ) ), 'c_Finite__Set_Osetsum'( T, U, Z
% 1.16/1.52 , X ) ) ) ],
% 1.16/1.52 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 1.16/1.52 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP(
% 1.16/1.52 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Y, X ),
% 1.16/1.52 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.16/1.52 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 1.16/1.52 'c_Lattices_Olower__semilattice__class_Oinf'( Y, hAPP(
% 1.16/1.52 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ),
% 1.16/1.52 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.16/1.52 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL(
% 1.16/1.52 hAPP( 'c_lessequals'( Y, X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.16/1.52 Y ) ) ) ) ],
% 1.16/1.52 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( Y, X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) )
% 1.16/1.52 ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.16/1.52 ) ) ) ) ],
% 1.16/1.52 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), ~( hBOOL(
% 1.16/1.52 hAPP( 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X )
% 1.16/1.52 , Y ) ) ) ],
% 1.16/1.52 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ), Y )
% 1.16/1.52 ), ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.16/1.52 , Y ) ) ) ],
% 1.16/1.52 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL(
% 1.16/1.52 hAPP( 'c_lessequals'( Y, X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.16/1.52 Y ) ) ) ) ],
% 1.16/1.52 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( Y, X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) )
% 1.16/1.52 ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.16/1.52 ) ) ) ) ],
% 1.16/1.52 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), ~( hBOOL(
% 1.16/1.52 hAPP( 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X )
% 1.16/1.52 , Y ) ) ) ],
% 1.16/1.52 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ), Y )
% 1.16/1.52 ), ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.16/1.52 , Y ) ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 1.16/1.52 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X
% 1.16/1.52 ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( U, X ), Z ) ), hAPP( hAPP(
% 1.16/1.52 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Otimes__class_Otimes'( hAPP(
% 1.16/1.52 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), U ), X ), Z ) ), T ) ) ) ]
% 1.16/1.52 ,
% 1.16/1.52 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~(
% 1.16/1.52 'c_Ring__and__Field_Opordered__ring'( Y, Z, T, U, W, V0, V1, V2 ) ), =(
% 1.16/1.52 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.16/1.52 'c_HOL_Ominus__class_Ominus'( X ), V3 ), V4 ) ), V4 ), V3 ) ],
% 1.16/1.52 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~(
% 1.16/1.52 'c_Ring__and__Field_Opordered__ring'( Y, Z, T, U, W, V0, V1, V2 ) ), =(
% 1.16/1.52 V3, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.16/1.52 'c_HOL_Ominus__class_Ominus'( X ), V3 ), V4 ) ), V4 ) ) ],
% 1.16/1.52 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.16/1.52 'class_RealVector_Oreal__normed__vector'( Y ) ), ~(
% 1.16/1.52 'class_RealVector_Oreal__normed__vector'( Z ) ), =( hAPP( hAPP( T, hAPP(
% 1.16/1.52 hAPP( 'c_HOL_Ominus__class_Ominus'( Z ), U ), W ) ), V0 ), hAPP( hAPP(
% 1.16/1.52 'c_HOL_Ominus__class_Ominus'( Y ), hAPP( hAPP( T, U ), V0 ) ), hAPP( hAPP(
% 1.16/1.52 T, W ), V0 ) ) ), ~( 'c_RealVector_Obounded__bilinear'( T, Z, X, Y ) ) ]
% 1.16/1.52 ,
% 1.16/1.52 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.16/1.52 'class_RealVector_Oreal__normed__vector'( Y ) ), ~(
% 1.16/1.52 'class_RealVector_Oreal__normed__vector'( Z ) ), =( hAPP( hAPP( T, U ),
% 1.16/1.52 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), W ), V0 ) ), hAPP( hAPP(
% 1.16/1.52 'c_HOL_Ominus__class_Ominus'( Y ), hAPP( hAPP( T, U ), W ) ), hAPP( hAPP(
% 1.16/1.52 T, U ), V0 ) ) ), ~( 'c_RealVector_Obounded__bilinear'( T, Z, X, Y ) ) ]
% 1.16/1.52 ,
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =( hAPP( hAPP(
% 1.16/1.52 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X
% 1.16/1.52 ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( U, X ), Z ) ), W ) ) ), =( hAPP( hAPP(
% 1.16/1.52 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Otimes__class_Otimes'( hAPP(
% 1.16/1.52 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), U ), X ), Z ) ), T ), W ) ]
% 1.16/1.52 ,
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =( hAPP( hAPP(
% 1.16/1.52 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X
% 1.16/1.52 ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( U, X ), Z ) ), W ) ) ), =( T, hAPP( hAPP(
% 1.16/1.52 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Otimes__class_Otimes'( hAPP(
% 1.16/1.52 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), U ), Y ), X ), Z ) ), W ) ) ]
% 1.16/1.52 ,
% 1.16/1.52 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.16/1.52 'c_HOL_Ominus__class_Ominus'( X ), Y ), hAPP( hAPP(
% 1.16/1.52 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.16/1.52 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.16/1.52 X ), Y ), T ) ), Z ) ), ~( 'c_Ring__and__Field_Opordered__ring'( U, W, V0
% 1.16/1.52 , V1, V2, V3, V4, V5 ) ) ],
% 1.16/1.52 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.16/1.52 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.16/1.52 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.16/1.52 'c_HOL_Ominus__class_Ominus'( X ), Y ), hAPP( hAPP(
% 1.16/1.52 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ), ~(
% 1.16/1.52 'c_Ring__and__Field_Opordered__ring'( U, W, V0, V1, V2, V3, V4, V5 ) ) ]
% 1.16/1.52 ,
% 1.16/1.52 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( hAPP(
% 1.16/1.52 'c_RealVector_OscaleR__class_OscaleR'( Y, X ), hAPP(
% 1.16/1.52 'c_RealVector_OscaleR__class_OscaleR'( Z, X ), T ) ), hAPP(
% 1.16/1.52 'c_RealVector_OscaleR__class_OscaleR'( Z, X ), hAPP(
% 1.16/1.52 'c_RealVector_OscaleR__class_OscaleR'( Y, X ), T ) ) ) ],
% 1.16/1.52 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =( hAPP(
% 1.16/1.52 'c_RealVector_OscaleR__class_OscaleR'( Y, X ), hAPP(
% 1.16/1.52 'c_RealVector_OscaleR__class_OscaleR'( Z, X ), T ) ), hAPP(
% 1.16/1.52 'c_RealVector_OscaleR__class_OscaleR'( Z, X ), hAPP(
% 1.16/1.52 'c_RealVector_OscaleR__class_OscaleR'( Y, X ), T ) ) ) ],
% 1.16/1.52 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( hAPP(
% 1.16/1.52 'c_RealVector_OscaleR__class_OscaleR'( Y, X ), hAPP(
% 1.16/1.52 'c_RealVector_OscaleR__class_OscaleR'( Z, X ), T ) ), hAPP(
% 1.16/1.52 'c_RealVector_OscaleR__class_OscaleR'( Z, X ), hAPP(
% 1.16/1.52 'c_RealVector_OscaleR__class_OscaleR'( Y, X ), T ) ) ) ],
% 1.16/1.52 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.16/1.52 'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.16/1.52 ) ],
% 1.16/1.52 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.16/1.52 'c_Divides_Odiv__class_Omod'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.16/1.52 ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), ~( hBOOL(
% 1.16/1.52 hAPP( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ),
% 1.16/1.52 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ), ~( hBOOL(
% 1.16/1.52 hAPP( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ),
% 1.16/1.52 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL(
% 1.16/1.52 hAPP( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ),
% 1.16/1.52 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL(
% 1.16/1.52 hAPP( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ),
% 1.16/1.52 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.16/1.52 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ), hAPP( hAPP( Y, hAPP(
% 1.16/1.52 hAPP( X, Z ), U ) ), hAPP( hAPP( X, T ), U ) ) ), ~(
% 1.16/1.52 'c_Ring__and__Field_Opordered__ring'( W, V0, V1, V2, X, Y, V3, V4 ) ) ]
% 1.16/1.52 ,
% 1.16/1.52 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), U ) ), hAPP( hAPP( Z, hAPP(
% 1.16/1.52 hAPP( X, Y ), T ) ), hAPP( hAPP( X, Y ), U ) ) ), ~(
% 1.16/1.52 'c_Ring__and__Field_Opordered__ring'( W, V0, V1, V2, X, Z, V3, V4 ) ) ]
% 1.16/1.52 ,
% 1.16/1.52 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, hAPP(
% 1.16/1.52 hAPP( U, Y ), T ) ), Z ) ), ~( 'c_Ring__and__Field_Opordered__ring'( U, W
% 1.16/1.52 , V0, V1, V2, X, V3, V4 ) ) ],
% 1.16/1.52 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ),
% 1.16/1.52 hAPP( hAPP( U, Z ), T ) ) ), ~( 'c_Ring__and__Field_Opordered__ring'( U,
% 1.16/1.52 W, V0, V1, V2, X, V3, V4 ) ) ],
% 1.16/1.52 [ ~( 'c_Ring__and__Field_Opordered__ring'( X, Y, Z, T, U, W, V0, V1 ) )
% 1.16/1.52 , =( V2, hAPP( hAPP( W, hAPP( hAPP( X, V2 ), V3 ) ), V3 ) ) ],
% 1.16/1.52 [ ~( 'c_Ring__and__Field_Opordered__ring'( X, Y, Z, T, U, W, V0, V1 ) )
% 1.16/1.52 , =( hAPP( hAPP( X, hAPP( hAPP( W, V2 ), V3 ) ), V3 ), V2 ) ],
% 1.16/1.52 [ ~( 'c_Ring__and__Field_Opordered__ring'( X, Y, Z, T, U, W, V0, V1 ) )
% 1.16/1.52 , =( hAPP( hAPP( W, hAPP( hAPP( X, V2 ), V3 ) ), V3 ), V2 ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( Y, X ), Z ), hAPP(
% 1.16/1.52 'c_HOL_Otimes__class_Otimes'( Z, X ), Y ) ) ],
% 1.16/1.52 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.16/1.52 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Y, X ), Y ) ],
% 1.16/1.52 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ), ~( hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( T, X ), Z ) ) ) ],
% 1.16/1.52 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( T, X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.16/1.52 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.16/1.52 'c_HOL_Ozero__class_Ozero'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.16/1.52 ), Y ) ) ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ],
% 1.16/1.52 [ =( hAPP( 'c_COMBB'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) ) ) ]
% 1.16/1.52 ,
% 1.16/1.52 [ =( hAPP( 'c_COMBS'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), hAPP( Y
% 1.16/1.52 , W ) ) ) ],
% 1.16/1.52 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.16/1.52 Y, X ), Z ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), Y ) )
% 1.16/1.52 ) ],
% 1.16/1.52 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP( 'c_lessequals'( Z
% 1.16/1.52 , X ), Y ) ) ],
% 1.16/1.52 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.16/1.52 Y, X ), Y ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), Y ) )
% 1.16/1.52 ) ],
% 1.16/1.52 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( Y, X ), Y ) ), hBOOL( hAPP( 'c_lessequals'( Y
% 1.16/1.52 , X ), Y ) ) ],
% 1.16/1.52 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( Z, X ), Y ) ) ) ],
% 1.16/1.52 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y
% 1.16/1.52 , X ), Z ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ) ]
% 1.16/1.52 ,
% 1.16/1.52 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP( 'c_lessequals'( Z
% 1.16/1.52 , X ), Y ) ) ],
% 1.16/1.52 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.16/1.52 Y, X ), Z ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), Y ) )
% 1.16/1.52 ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), ~( hBOOL(
% 1.16/1.52 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.16/1.52 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ) ) ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ), ~( hBOOL(
% 1.16/1.52 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.16/1.52 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ), ~( hBOOL(
% 1.16/1.52 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.16/1.52 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ) ) ) ) ],
% 1.16/1.52 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.52 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.16/1.52 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), ~( hBOOL(
% 1.16/1.52 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.16/1.52 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ) ) ],
% 1.16/1.52 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.16/1.52 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), hBOOL( hAPP(
% 1.16/1.52 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.16/1.52 X ), Z ), T ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), T )
% 1.16/1.52 ) ), ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.16/1.52 ), Z ) ) ) ],
% 1.16/1.52 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~(
% 1.16/1.52 'c_Ring__and__Field_Ofield'( Y, Z, T, U, W, V0, V1, V2, V3 ) ), =( V4,
% 1.16/1.52 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.16/1.52 'c_HOL_Ominus__class_Ominus'( X ), V4 ), V5 ) ), V5 ) ) ],
% 1.16/1.52 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~(
% 1.16/1.52 'c_Ring__and__Field_Ofield'( Y, Z, T, U, W, V0, V1, V2, V3 ) ), =( hAPP(
% 1.16/1.52 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.16/1.52 'c_HOL_Ominus__class_Ominus'( X ), V4 ), V5 ) ), V5 ), V4 ) ],
% 1.16/1.52 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.16/1.52 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), hAPP( hAPP(
% 1.16/1.52 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ) ), =( Z, T ) ],
% 1.16/1.52 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.16/1.53 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Ominus__class_Ominus'( X ), T ), T ) ) ), =( Y, Z ) ],
% 1.16/1.53 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP( hAPP(
% 1.16/1.53 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ),
% 1.16/1.53 'c_Lattices_Olower__semilattice__class_Oinf'( Y, hAPP(
% 1.16/1.53 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =( hAPP(
% 1.16/1.53 'c_HOL_Otimes__class_Otimes'( Y, X ), Z ), hAPP(
% 1.16/1.53 'c_HOL_Otimes__class_Otimes'( Z, X ), Y ) ), ~(
% 1.16/1.53 'c_Ring__and__Field_Ofield'( T, U, W, V0, V1, V2, V3, V4, V5 ) ) ],
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.16/1.53 hAPP( 'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) )
% 1.16/1.53 , ~( hBOOL( hAPP( 'c_lessequals'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.16/1.53 X ), T ), X ), hAPP( 'c_HOL_Otimes__class_Otimes'( Z, X ), T ) ) ) ) ]
% 1.16/1.53 ,
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.16/1.53 hAPP( 'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) )
% 1.16/1.53 , ~( hBOOL( hAPP( 'c_lessequals'( hAPP( 'c_HOL_Otimes__class_Otimes'( T,
% 1.16/1.53 X ), Y ), X ), hAPP( 'c_HOL_Otimes__class_Otimes'( T, X ), Z ) ) ) ) ]
% 1.16/1.53 ,
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.16/1.53 'c_lessequals'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), Z ), X ),
% 1.16/1.53 hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), T ) ) ), ~( hBOOL( hAPP(
% 1.16/1.53 'c_lessequals'( Z, X ), T ) ) ), ~( hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) )
% 1.16/1.53 ],
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.16/1.53 'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP(
% 1.16/1.53 'c_HOL_Otimes__class_Otimes'( T, X ), Y ), X ), hAPP(
% 1.16/1.53 'c_HOL_Otimes__class_Otimes'( T, X ), Z ) ) ) ), ~( hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) )
% 1.16/1.53 ],
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.16/1.53 'c_lessequals'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), Z ), X ),
% 1.16/1.53 hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), T ) ) ), ~( hBOOL( hAPP(
% 1.16/1.53 'c_lessequals'( T, X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.16/1.53 ],
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.16/1.53 'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP(
% 1.16/1.53 'c_HOL_Otimes__class_Otimes'( T, X ), Z ), X ), hAPP(
% 1.16/1.53 'c_HOL_Otimes__class_Otimes'( T, X ), Y ) ) ) ), ~( hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( T, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.16/1.53 ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~(
% 1.16/1.53 'class_Ring__and__Field_Ofield'( Y ) ), ~( =( hAPP( hAPP( Z, T ), U ),
% 1.16/1.53 hAPP( hAPP( Z, W ), U ) ) ), =( U, 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 1.16/1.53 'c_RealVector_Ovector__space'( Z, Y, X ) ), =( T, W ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~(
% 1.16/1.53 'class_Ring__and__Field_Ofield'( Y ) ), ~( =( hAPP( hAPP( Z, T ), U ),
% 1.16/1.53 hAPP( hAPP( Z, W ), U ) ) ), ~( 'c_RealVector_Ovector__space'( Z, Y, X )
% 1.16/1.53 ), =( U, 'c_HOL_Ozero__class_Ozero'( X ) ), =( T, W ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~(
% 1.16/1.53 'class_Ring__and__Field_Ofield'( Y ) ), ~( =( hAPP( hAPP( Z, T ), U ),
% 1.16/1.53 hAPP( hAPP( Z, T ), W ) ) ), =( T, 'c_HOL_Ozero__class_Ozero'( Y ) ), ~(
% 1.16/1.53 'c_RealVector_Ovector__space'( Z, Y, X ) ), =( U, W ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~(
% 1.16/1.53 'class_Ring__and__Field_Ofield'( Y ) ), ~( =( hAPP( hAPP( Z, T ), U ),
% 1.16/1.53 hAPP( hAPP( Z, T ), W ) ) ), ~( 'c_RealVector_Ovector__space'( Z, Y, X )
% 1.16/1.53 ), =( T, 'c_HOL_Ozero__class_Ozero'( Y ) ), =( U, W ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~(
% 1.16/1.53 'class_Ring__and__Field_Ofield'( Y ) ), ~( =( hAPP( hAPP( Z, T ), U ),
% 1.16/1.53 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( 'c_RealVector_Ovector__space'( Z
% 1.16/1.53 , Y, X ) ), =( U, 'c_HOL_Ozero__class_Ozero'( X ) ), =( T,
% 1.16/1.53 'c_HOL_Ozero__class_Ozero'( Y ) ) ],
% 1.16/1.53 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.16/1.53 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.16/1.53 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 1.16/1.53 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 1.16/1.53 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 1.16/1.53 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.16/1.53 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.16/1.53 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 1.16/1.53 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.16/1.53 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 1.16/1.53 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.16/1.53 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.16/1.53 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 1.16/1.53 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 1.16/1.53 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 1.16/1.53 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.16/1.53 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.16/1.53 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 1.16/1.53 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.16/1.53 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.16/1.53 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.16/1.53 'c_HOL_Oinverse__class_Odivide'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.16/1.53 ), Y ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ),
% 1.16/1.53 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ],
% 1.16/1.53 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.16/1.53 'c_HOL_Oinverse__class_Odivide'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.16/1.53 ), Y ), Z, X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.16/1.53 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ) ],
% 1.16/1.53 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP( hAPP(
% 1.16/1.53 'c_HOL_Ominus__class_Ominus'( X ), hAPP( 'c_HOL_Otimes__class_Otimes'( Y
% 1.16/1.53 , X ), Z ) ), hAPP( 'c_HOL_Otimes__class_Otimes'( T, X ), U ) ), hAPP(
% 1.16/1.53 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Otimes__class_Otimes'( hAPP(
% 1.16/1.53 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), T ), X ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Ominus__class_Ominus'( X ), Z ), U ) ) ), hAPP(
% 1.16/1.53 'c_HOL_Otimes__class_Otimes'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X
% 1.16/1.53 ), Y ), T ), X ), U ) ) ), hAPP( 'c_HOL_Otimes__class_Otimes'( T, X ),
% 1.16/1.53 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Z ), U ) ) ) ) ],
% 1.16/1.53 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.16/1.53 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z ), ~( hBOOL(
% 1.16/1.53 hAPP( 'c_lessequals'( Z, X ), Y ) ) ) ],
% 1.16/1.53 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =(
% 1.16/1.53 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ) ), hBOOL(
% 1.16/1.53 hAPP( 'c_lessequals'( Y, X ), Z ) ) ],
% 1.16/1.53 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.16/1.53 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ), ~( hBOOL(
% 1.16/1.53 hAPP( 'c_lessequals'( Y, X ), Z ) ) ) ],
% 1.16/1.53 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.16/1.53 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 1.16/1.53 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 1.16/1.53 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.16/1.53 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X,
% 1.16/1.53 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.16/1.53 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.16/1.53 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 1.16/1.53 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 1.16/1.53 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( hAPP(
% 1.16/1.53 'c_RealVector_OscaleR__class_OscaleR'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 1.16/1.53 X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.53 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =( hAPP(
% 1.16/1.53 'c_RealVector_OscaleR__class_OscaleR'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 1.16/1.53 X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.53 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 1.16/1.53 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 1.16/1.53 'c_SetInterval_Oord__class_OlessThan'( Z, X ) ) ), =( Y, Z ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.16/1.53 ), Y ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.16/1.53 ), Y ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP(
% 1.16/1.53 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ), 'c_HOL_Ozero__class_Ozero'( X
% 1.16/1.53 ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.16/1.53 ), Y ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.16/1.53 X ), Y ), Z ) ), T ) ), ~( 'c_Ring__and__Field_Ofield'( U, W, V0, V1, V2
% 1.16/1.53 , V3, V4, V5, V6 ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.16/1.53 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), hAPP(
% 1.16/1.53 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ), ~(
% 1.16/1.53 'c_Ring__and__Field_Ofield'( U, W, V0, V1, V2, V3, V4, V5, V6 ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL(
% 1.16/1.53 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.16/1.53 X ), Y ), Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.16/1.53 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.16/1.53 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.16/1.53 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.16/1.53 X ) ) ), =( Y, Z ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP( hAPP(
% 1.16/1.53 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.16/1.53 X ) ) ), =( Y, Z ) ],
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.16/1.53 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ),
% 1.16/1.53 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 1.16/1.53 'c_HOL_Ozero__class_Ozero'( X ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP(
% 1.16/1.53 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.16/1.53 Z, X ), Z ) ), hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), Y ) ), X ),
% 1.16/1.53 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 1.16/1.53 'c_HOL_Ozero__class_Ozero'( X ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP(
% 1.16/1.53 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.16/1.53 Y, X ), Y ) ), hAPP( 'c_HOL_Otimes__class_Otimes'( Z, X ), Z ) ), X ),
% 1.16/1.53 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.16/1.53 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP(
% 1.16/1.53 'c_HOL_Otimes__class_Otimes'( Y, X ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Ominus__class_Ominus'( X ), hAPP( 'c_HOL_Otimes__class_Otimes'( Y
% 1.16/1.53 , X ), Z ) ), hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), T ) ) ) ],
% 1.16/1.53 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP(
% 1.16/1.53 'c_HOL_Otimes__class_Otimes'( Y, X ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Ominus__class_Ominus'( X ), hAPP( 'c_HOL_Otimes__class_Otimes'( Y
% 1.16/1.53 , X ), Z ) ), hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), T ) ) ) ],
% 1.16/1.53 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP(
% 1.16/1.53 'c_HOL_Otimes__class_Otimes'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X
% 1.16/1.53 ), Y ), Z ), X ), T ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ),
% 1.16/1.53 hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), T ) ), hAPP(
% 1.16/1.53 'c_HOL_Otimes__class_Otimes'( Z, X ), T ) ) ) ],
% 1.16/1.53 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP(
% 1.16/1.53 'c_HOL_Otimes__class_Otimes'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X
% 1.16/1.53 ), Y ), Z ), X ), T ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ),
% 1.16/1.53 hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), T ) ), hAPP(
% 1.16/1.53 'c_HOL_Otimes__class_Otimes'( Z, X ), T ) ) ) ],
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.16/1.53 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.16/1.53 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.16/1.53 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.16/1.53 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.16/1.53 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.16/1.53 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.16/1.53 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.16/1.53 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.53 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.16/1.53 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.16/1.53 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.53 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =( hAPP(
% 1.16/1.53 'c_RealVector_OscaleR__class_OscaleR'( Y, X ), 'c_Finite__Set_Osetsum'( Z
% 1.16/1.53 , T, U, X ) ), 'c_Finite__Set_Osetsum'( 'c_COMBB'(
% 1.16/1.53 'c_RealVector_OscaleR__class_OscaleR'( Y, X ), Z, X, X, U ), T, U, X ) )
% 1.16/1.53 ],
% 1.16/1.53 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', X ), 'tc_nat' )
% 1.16/1.53 , Y ) ), =( hAPP( 'c_Suc', X ), Y ), ~( hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ) ) ],
% 1.16/1.53 [ hBOOL( hAPP( 'c_lessequals'( hAPP( 'c_Suc', X ), 'tc_nat' ), Y ) ),
% 1.16/1.53 hBOOL( hAPP( 'c_lessequals'( Y, 'tc_nat' ), X ) ) ],
% 1.16/1.53 [ ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ) ), ~( hBOOL( hAPP(
% 1.16/1.53 'c_lessequals'( hAPP( 'c_Suc', Y ), 'tc_nat' ), X ) ) ) ],
% 1.16/1.53 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ),
% 1.16/1.53 hAPP( hAPP( X, Z ), T ) ) ), ~(
% 1.16/1.53 'c_OrderedGroup_Opordered__ab__group__add'( U, W, V0, X, V1, V2, V3 ) ) ]
% 1.16/1.53 ,
% 1.16/1.53 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~(
% 1.16/1.53 'c_OrderedGroup_Opordered__ab__group__add'( T, U, W, X, V0, V1, V2 ) ) ]
% 1.16/1.53 ,
% 1.16/1.53 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, Z ),
% 1.16/1.53 hAPP( hAPP( X, Y ), T ) ) ), ~(
% 1.16/1.53 'c_OrderedGroup_Opordered__ab__group__add'( U, W, V0, X, V1, V2, V3 ) ) ]
% 1.16/1.53 ,
% 1.16/1.53 [ =( hAPP( hAPP( X, Y ), hAPP( Z, T ) ), hAPP( hAPP( U, Y ), T ) ), ~(
% 1.16/1.53 'c_OrderedGroup_Opordered__ab__group__add'( U, Z, W, X, V0, V1, V2 ) ) ]
% 1.16/1.53 ,
% 1.16/1.53 [ =( hAPP( hAPP( X, hAPP( Y, Z ) ), T ), hAPP( hAPP( U, T ), Z ) ), ~(
% 1.16/1.53 'c_OrderedGroup_Opordered__ab__group__add'( U, Y, W, X, V0, V1, V2 ) ) ]
% 1.16/1.53 ,
% 1.16/1.53 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), U ) ), hAPP( hAPP( Z, hAPP(
% 1.16/1.53 hAPP( X, Y ), T ) ), U ) ), ~( 'c_OrderedGroup_Opordered__ab__group__add'(
% 1.16/1.53 Z, W, V0, X, V1, V2, V3 ) ) ],
% 1.16/1.53 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ), hAPP( hAPP( Y, hAPP(
% 1.16/1.53 hAPP( X, Z ), U ) ), T ) ), ~( 'c_OrderedGroup_Opordered__ab__group__add'(
% 1.16/1.53 Y, W, V0, X, V1, V2, V3 ) ) ],
% 1.16/1.53 [ ~( 'c_OrderedGroup_Opordered__ab__group__add'( X, Y, Z, T, U, W, V0 )
% 1.16/1.53 ), =( V1, hAPP( hAPP( T, hAPP( hAPP( X, V1 ), V2 ) ), V2 ) ) ],
% 1.16/1.53 [ ~( 'c_OrderedGroup_Opordered__ab__group__add'( X, Y, Z, T, U, W, V0 )
% 1.16/1.53 ), =( hAPP( hAPP( X, hAPP( hAPP( T, V1 ), V2 ) ), V2 ), V1 ) ],
% 1.16/1.53 [ ~( 'c_OrderedGroup_Opordered__ab__group__add'( X, Y, Z, T, U, W, V0 )
% 1.16/1.53 ), =( hAPP( hAPP( T, hAPP( hAPP( X, V1 ), V2 ) ), V2 ), V1 ) ],
% 1.16/1.53 [ ~( 'c_OrderedGroup_Opordered__ab__group__add'( X, Y, Z, T, U, W, V0 )
% 1.16/1.53 ), =( V1, hAPP( hAPP( X, hAPP( hAPP( T, V1 ), V2 ) ), V2 ) ) ],
% 1.16/1.53 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ),
% 1.16/1.53 hAPP( hAPP( U, Z ), T ) ) ), ~(
% 1.16/1.53 'c_OrderedGroup_Opordered__ab__group__add'( X, W, V0, U, V1, V2, V3 ) ) ]
% 1.16/1.53 ,
% 1.16/1.53 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, hAPP(
% 1.16/1.53 hAPP( U, Y ), T ) ), Z ) ), ~( 'c_OrderedGroup_Opordered__ab__group__add'(
% 1.16/1.53 X, W, V0, U, V1, V2, V3 ) ) ],
% 1.16/1.53 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 1.16/1.53 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 1.16/1.53 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Z,
% 1.16/1.53 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.16/1.53 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 1.16/1.53 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 1.16/1.53 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Y,
% 1.16/1.53 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 1.16/1.53 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.16/1.53 'c_Divides_Odiv__class_Omod'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X )
% 1.16/1.53 , Z ), T, X ), 'c_Divides_Odiv__class_Omod'( hAPP(
% 1.16/1.53 'c_HOL_Otimes__class_Otimes'( Y, X ), 'c_Divides_Odiv__class_Omod'( Z, T
% 1.16/1.53 , X ) ), T, X ) ) ],
% 1.16/1.53 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.16/1.53 'c_Divides_Odiv__class_Omod'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X )
% 1.16/1.53 , Z ), T, X ), 'c_Divides_Odiv__class_Omod'( hAPP(
% 1.16/1.53 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Omod'( Y, T, X ), X
% 1.16/1.53 ), Z ), T, X ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~(
% 1.16/1.53 'c_Ring__and__Field_Oring'( Y, Z, T, U, W, V0 ) ), =( V1, hAPP( hAPP(
% 1.16/1.53 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.16/1.53 X ), V1 ), V2 ) ), V2 ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~(
% 1.16/1.53 'c_Ring__and__Field_Oring'( Y, Z, T, U, W, V0 ) ), =( hAPP( hAPP(
% 1.16/1.53 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.16/1.53 X ), V1 ), V2 ) ), V2 ), V1 ) ],
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.16/1.53 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.16/1.53 Y, X ), Y ) ), hAPP( 'c_HOL_Otimes__class_Otimes'( Z, X ), Z ) ) ) ), =(
% 1.16/1.53 Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.16/1.53 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.16/1.53 Y, X ), Y ) ), hAPP( 'c_HOL_Otimes__class_Otimes'( Z, X ), Z ) ) ) ), =(
% 1.16/1.53 Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP(
% 1.16/1.53 'c_HOL_Otimes__class_Otimes'( Y, X ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Ominus__class_Ominus'( X ), hAPP( 'c_HOL_Otimes__class_Otimes'( Y
% 1.16/1.53 , X ), Z ) ), hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), T ) ) ), ~(
% 1.16/1.53 'c_Ring__and__Field_Ofield'( U, W, V0, V1, V2, V3, V4, V5, V6 ) ) ],
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP(
% 1.16/1.53 'c_HOL_Otimes__class_Otimes'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X
% 1.16/1.53 ), Y ), Z ), X ), T ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ),
% 1.16/1.53 hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), T ) ), hAPP(
% 1.16/1.53 'c_HOL_Otimes__class_Otimes'( Z, X ), T ) ) ), ~(
% 1.16/1.53 'c_Ring__and__Field_Ofield'( U, W, V0, V1, V2, V3, V4, V5, V6 ) ) ],
% 1.16/1.53 [ ~( 'c_Ring__and__Field_Opordered__ring'( X, Y, Z, T, U, W, V0, V1 ) )
% 1.16/1.53 , =( V2, hAPP( hAPP( X, hAPP( hAPP( W, V2 ), V3 ) ), V3 ) ) ],
% 1.16/1.53 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ), hAPP( hAPP( Y, hAPP(
% 1.16/1.53 hAPP( X, Z ), U ) ), T ) ), ~( 'c_Ring__and__Field_Opordered__ring'( X, W
% 1.16/1.53 , V0, V1, V2, Y, V3, V4 ) ) ],
% 1.16/1.53 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), U ) ), hAPP( hAPP( Z, hAPP(
% 1.16/1.53 hAPP( X, Y ), T ) ), U ) ), ~( 'c_Ring__and__Field_Opordered__ring'( X, W
% 1.16/1.53 , V0, V1, V2, Z, V3, V4 ) ) ],
% 1.16/1.53 [ =( hAPP( hAPP( X, hAPP( Y, Z ) ), T ), hAPP( hAPP( U, T ), Z ) ), ~(
% 1.16/1.53 'c_Ring__and__Field_Opordered__ring'( X, W, V0, V1, V2, U, Y, V3 ) ) ]
% 1.16/1.53 ,
% 1.16/1.53 [ =( hAPP( hAPP( X, Y ), hAPP( Z, T ) ), hAPP( hAPP( U, Y ), T ) ), ~(
% 1.16/1.53 'c_Ring__and__Field_Opordered__ring'( X, W, V0, V1, V2, U, Z, V3 ) ) ]
% 1.16/1.53 ,
% 1.16/1.53 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), U ) ), hAPP( hAPP( Z, hAPP(
% 1.16/1.53 hAPP( X, Y ), T ) ), hAPP( hAPP( X, Y ), U ) ) ), ~(
% 1.16/1.53 'c_Ring__and__Field_Opordered__ring'( Z, W, V0, V1, X, V2, V3, V4 ) ) ]
% 1.16/1.53 ,
% 1.16/1.53 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ), hAPP( hAPP( Y, hAPP(
% 1.16/1.53 hAPP( X, Z ), U ) ), hAPP( hAPP( X, T ), U ) ) ), ~(
% 1.16/1.53 'c_Ring__and__Field_Opordered__ring'( Y, W, V0, V1, X, V2, V3, V4 ) ) ]
% 1.16/1.53 ,
% 1.16/1.53 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ),
% 1.16/1.53 hAPP( hAPP( X, Z ), T ) ) ), ~( 'c_Ring__and__Field_Opordered__ring'( U,
% 1.16/1.53 W, V0, V1, X, V2, V3, V4 ) ) ],
% 1.16/1.53 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( X, Z ), T ) ), hAPP( hAPP( X, Z ),
% 1.16/1.53 hAPP( hAPP( X, Y ), T ) ) ), ~( 'c_Ring__and__Field_Opordered__ring'( X,
% 1.16/1.53 U, W, V0, V1, V2, V3, V4 ) ) ],
% 1.16/1.53 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, Z ), Y ) ), ~(
% 1.16/1.53 'c_Ring__and__Field_Opordered__ring'( X, T, U, W, V0, V1, V2, V3 ) ) ]
% 1.16/1.53 ,
% 1.16/1.53 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ),
% 1.16/1.53 hAPP( hAPP( X, Z ), T ) ) ), ~( 'c_Ring__and__Field_Opordered__ring'( X,
% 1.16/1.53 U, W, V0, V1, V2, V3, V4 ) ) ],
% 1.16/1.53 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.16/1.53 'class_RealVector_Oreal__normed__vector'( Y ) ), ~(
% 1.16/1.53 'class_RealVector_Oreal__normed__vector'( Z ) ), =( hAPP( hAPP( T,
% 1.16/1.53 'c_HOL_Ozero__class_Ozero'( Y ) ), U ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.16/1.53 , ~( 'c_RealVector_Obounded__bilinear'( T, Y, Z, X ) ) ],
% 1.16/1.53 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.16/1.53 'class_RealVector_Oreal__normed__vector'( Y ) ), ~(
% 1.16/1.53 'class_RealVector_Oreal__normed__vector'( Z ) ), =( hAPP( hAPP( T, hAPP(
% 1.16/1.53 'c_HOL_Ouminus__class_Ouminus'( Z ), U ) ), W ), hAPP(
% 1.16/1.53 'c_HOL_Ouminus__class_Ouminus'( Y ), hAPP( hAPP( T, U ), W ) ) ), ~(
% 1.16/1.53 'c_RealVector_Obounded__bilinear'( T, Z, X, Y ) ) ],
% 1.16/1.53 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.16/1.53 'class_RealVector_Oreal__normed__vector'( Y ) ), ~(
% 1.16/1.53 'class_RealVector_Oreal__normed__vector'( Z ) ), =( hAPP( hAPP( T, U ),
% 1.16/1.53 'c_HOL_Ozero__class_Ozero'( Z ) ), 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 1.16/1.53 'c_RealVector_Obounded__bilinear'( T, Y, Z, X ) ) ],
% 1.16/1.53 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.16/1.53 'class_RealVector_Oreal__normed__vector'( Y ) ), ~(
% 1.16/1.53 'class_RealVector_Oreal__normed__vector'( Z ) ), =( hAPP( hAPP( T, U ),
% 1.16/1.53 hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), W ) ), hAPP(
% 1.16/1.53 'c_HOL_Ouminus__class_Ouminus'( Y ), hAPP( hAPP( T, U ), W ) ) ), ~(
% 1.16/1.53 'c_RealVector_Obounded__bilinear'( T, Z, X, Y ) ) ],
% 1.16/1.53 [ ~( 'class_Divides_Oring__div'( X ) ), ~( =(
% 1.16/1.53 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 1.16/1.53 , Z, X ) ) ), =( 'c_Divides_Odiv__class_Omod'( hAPP(
% 1.16/1.53 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z, X ),
% 1.16/1.53 'c_Divides_Odiv__class_Omod'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.16/1.53 T ), Z, X ) ) ],
% 1.16/1.53 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.16/1.53 'c_Divides_Odiv__class_Omod'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X )
% 1.16/1.53 , Z ), T, X ), 'c_Divides_Odiv__class_Omod'( hAPP(
% 1.16/1.53 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Omod'( Y, T, X ), X
% 1.16/1.53 ), 'c_Divides_Odiv__class_Omod'( Z, T, X ) ), T, X ) ) ],
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.53 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), Z
% 1.16/1.53 ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ),
% 1.16/1.53 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ),
% 1.16/1.53 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.16/1.53 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), Y ) ) ) ],
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.53 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 1.16/1.53 ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ),
% 1.16/1.53 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Otimes__class_Otimes'( T, X ), Z
% 1.16/1.53 ), X ), Y ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.16/1.53 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ],
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.53 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 1.16/1.53 ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.16/1.53 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), ~( hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Otimes__class_Otimes'( T, X ), Z
% 1.16/1.53 ), X ), Y ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.16/1.53 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ],
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.53 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 1.16/1.53 ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.16/1.53 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ), hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.16/1.53 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), hAPP(
% 1.16/1.53 'c_HOL_Otimes__class_Otimes'( T, X ), Z ) ) ) ) ],
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.53 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( 'c_HOL_Otimes__class_Otimes'( Z
% 1.16/1.53 , X ), T ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ),
% 1.16/1.53 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ),
% 1.16/1.53 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ),
% 1.16/1.53 'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ) ) ) ],
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.53 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T
% 1.16/1.53 , X ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ),
% 1.16/1.53 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( Z, X ), hAPP( 'c_HOL_Otimes__class_Otimes'( Y
% 1.16/1.53 , X ), T ) ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.16/1.53 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ],
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.53 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T
% 1.16/1.53 , X ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.16/1.53 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( Z, X ), hAPP( 'c_HOL_Otimes__class_Otimes'( Y
% 1.16/1.53 , X ), T ) ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.16/1.53 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ],
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.53 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T
% 1.16/1.53 , X ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.16/1.53 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( T, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.16/1.53 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.16/1.53 'c_HOL_Otimes__class_Otimes'( Y, X ), T ), X ), Z ) ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.16/1.53 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Z
% 1.16/1.53 ), T ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), Z ) ) ), ~(
% 1.16/1.53 'c_Ring__and__Field_Ofield'( U, W, V0, V1, V2, V3, V4, V5, V6 ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.16/1.53 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X
% 1.16/1.53 ), T ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Ominus__class_Ominus'( X ), T ), Z ) ) ) ), ~(
% 1.16/1.53 'c_Ring__and__Field_Ofield'( U, W, V0, V1, V2, V3, V4, V5, V6 ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.16/1.53 'c_lessequals'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ),
% 1.16/1.53 X ), T ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ) ), ~(
% 1.16/1.53 'c_Ring__and__Field_Ofield'( U, W, V0, V1, V2, V3, V4, V5, V6 ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.16/1.53 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z )
% 1.16/1.53 , T ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.16/1.53 'c_HOL_Ominus__class_Ominus'( X ), Y ), T ), X ), Z ) ) ), ~(
% 1.16/1.53 'c_Ring__and__Field_Ofield'( U, W, V0, V1, V2, V3, V4, V5, V6 ) ) ],
% 1.16/1.53 [ =( hAPP( X, hAPP( Y, Z ) ), hAPP( 'c_Fun_Ocomp'( X, Y, T, U, W ), Z )
% 1.16/1.53 ) ],
% 1.16/1.53 [ =( hAPP( 'c_Fun_Ocomp'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) )
% 1.16/1.53 ) ],
% 1.16/1.53 [ ~( =( hAPP( 'c_Suc', X ), hAPP( 'c_Suc', Y ) ) ), =( X, Y ) ],
% 1.16/1.53 [ ~( =( hAPP( 'c_Suc', X ), hAPP( 'c_Suc', Y ) ) ), =( X, Y ) ],
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.16/1.53 hAPP( 'c_HOL_Otimes__class_Otimes'( hAPP( hAPP(
% 1.16/1.53 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), X ), T ) ), U ), X ), W ) )
% 1.16/1.53 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X
% 1.16/1.53 ), T ) ), U ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.16/1.53 'c_HOL_Otimes__class_Otimes'( Z, X ), T ) ), W ) ) ) ) ],
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.16/1.53 hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), Z ) ), T ), X ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Otimes__class_Otimes'( U, X
% 1.16/1.53 ), Z ) ), W ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Otimes__class_Otimes'( hAPP(
% 1.16/1.53 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), U ), X ), Z ) ), T ), X ),
% 1.16/1.53 W ) ) ) ],
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.16/1.53 X ), hAPP( 'c_HOL_Otimes__class_Otimes'( hAPP( hAPP(
% 1.16/1.53 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ), X ), U ) ), W ) ) ), ~(
% 1.16/1.53 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Otimes__class_Otimes'( T, X
% 1.16/1.53 ), U ) ), Y ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.16/1.53 'c_HOL_Otimes__class_Otimes'( Z, X ), U ) ), W ) ) ) ) ],
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.16/1.53 hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), Z ) ), T ), X ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Otimes__class_Otimes'( U, X
% 1.16/1.53 ), Z ) ), W ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ),
% 1.16/1.53 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.16/1.53 'c_HOL_Otimes__class_Otimes'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X
% 1.16/1.53 ), U ), Y ), X ), Z ) ), W ) ) ) ) ],
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.16/1.53 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.16/1.53 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( hAPP(
% 1.16/1.53 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ),
% 1.16/1.53 Y, X ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~(
% 1.16/1.53 'class_Ring__and__Field_Ofield'( Y ) ), =( hAPP( hAPP( Z, T ), hAPP( hAPP(
% 1.16/1.53 Z, U ), W ) ), hAPP( hAPP( Z, U ), hAPP( hAPP( Z, T ), W ) ) ), ~(
% 1.16/1.53 'c_RealVector_Ovector__space'( Z, Y, X ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X
% 1.16/1.53 ) ) ), =( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), Z ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'( X
% 1.16/1.53 ) ) ), =( Y, hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~(
% 1.16/1.53 'class_OrderedGroup_Oab__group__add'( Y ) ), =( hAPP( Z,
% 1.16/1.53 'c_Finite__Set_Osetsum'( T, U, W, Y ) ), 'c_Finite__Set_Osetsum'(
% 1.16/1.53 'c_COMBB'( Z, T, Y, X, W ), U, W, X ) ), ~( 'c_RealVector_Oadditive'( Z,
% 1.16/1.53 Y, X ) ) ],
% 1.16/1.53 [ =( X, Y ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ),
% 1.16/1.53 hAPP( 'c_Suc', Y ) ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X,
% 1.16/1.53 'tc_nat' ), Y ) ) ],
% 1.16/1.53 [ =( X, Y ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, 'tc_nat' ),
% 1.16/1.53 hAPP( 'c_Suc', X ) ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y,
% 1.16/1.53 'tc_nat' ), X ) ) ],
% 1.16/1.53 [ =( X, Y ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y )
% 1.16/1.53 ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), hAPP(
% 1.16/1.53 'c_Suc', Y ) ) ) ) ],
% 1.16/1.53 [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 1.16/1.53 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 1.16/1.53 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 1.16/1.53 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 1.16/1.53 'c_Divides_Odiv__class_Omod'( hAPP( 'c_HOL_Otimes__class_Otimes'( U, X )
% 1.16/1.53 , Y ), Z, X ), 'c_Divides_Odiv__class_Omod'( hAPP(
% 1.16/1.53 'c_HOL_Otimes__class_Otimes'( W, X ), T ), Z, X ) ) ],
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.16/1.53 ) ), 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ),
% 1.16/1.53 'c_HOL_Oinverse__class_Odivide'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.16/1.53 X ), hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), U ) ), hAPP(
% 1.16/1.53 'c_HOL_Otimes__class_Otimes'( T, X ), Z ) ), hAPP(
% 1.16/1.53 'c_HOL_Otimes__class_Otimes'( Z, X ), U ), X ) ), =( U,
% 1.16/1.53 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.16/1.53 ) ],
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.16/1.53 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y, hAPP(
% 1.16/1.53 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.16/1.53 , X ), Z ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.16/1.53 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP(
% 1.16/1.53 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.16/1.53 , X ), Z ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP(
% 1.16/1.53 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ),
% 1.16/1.53 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP(
% 1.16/1.53 'c_HOL_Otimes__class_Otimes'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.16/1.53 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.53 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP(
% 1.16/1.53 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ),
% 1.16/1.53 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.53 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP(
% 1.16/1.53 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ),
% 1.16/1.53 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.53 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP(
% 1.16/1.53 'c_HOL_Otimes__class_Otimes'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.16/1.53 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.53 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP(
% 1.16/1.53 'c_HOL_Otimes__class_Otimes'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.16/1.53 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP(
% 1.16/1.53 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ),
% 1.16/1.53 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =( hAPP(
% 1.16/1.53 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ),
% 1.16/1.53 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =( hAPP(
% 1.16/1.53 'c_HOL_Otimes__class_Otimes'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.16/1.53 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =( hAPP(
% 1.16/1.53 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ),
% 1.16/1.53 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =( hAPP(
% 1.16/1.53 'c_HOL_Otimes__class_Otimes'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.16/1.53 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.53 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( Y, X ), Y ) ) ) ],
% 1.16/1.53 [ ~( 'class_Orderings_Oorder'( X ) ), ~( hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( Y, X ), Y ) ) ) ],
% 1.16/1.53 [ ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), X ) ) ) ]
% 1.16/1.53 ,
% 1.16/1.53 [ ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), X ) ) ) ]
% 1.16/1.53 ,
% 1.16/1.53 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( Y, X ), Y ) ) ) ],
% 1.16/1.53 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP( 'c_lessequals'( Z
% 1.16/1.53 , X ), Y ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), Z ) ) ) ],
% 1.16/1.53 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.16/1.53 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.16/1.53 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ), Y ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.16/1.53 ), Y ) ), Z ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Z ), Y ) )
% 1.16/1.53 , ~( 'c_OrderedGroup_Opordered__ab__group__add'( T, U, W, V0, V1, V2, V3
% 1.16/1.53 ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP(
% 1.16/1.53 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), ~(
% 1.16/1.53 'c_OrderedGroup_Opordered__ab__group__add'( T, U, W, V0, V1, V2, V3 ) ) ]
% 1.16/1.53 ,
% 1.16/1.53 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL(
% 1.16/1.53 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.16/1.53 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.16/1.53 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.16/1.53 X ), X ), Y ) ) ) ],
% 1.16/1.53 [ =( hAPP( hAPP( X, hAPP( hAPP( X, Y ), Z ) ), T ), hAPP( hAPP( X, Y ),
% 1.16/1.53 hAPP( hAPP( X, Z ), T ) ) ), ~( 'c_OrderedGroup_Osemigroup__add'( X, U )
% 1.16/1.53 ) ],
% 1.16/1.53 [ ~( 'class_Divides_Oring__div'( X ) ), ~( =(
% 1.16/1.53 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 1.16/1.53 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 1.16/1.53 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 1.16/1.53 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X
% 1.16/1.53 ), U ), Y ), Z, X ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 1.16/1.53 'c_HOL_Ominus__class_Ominus'( X ), W ), T ), Z, X ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.16/1.53 'c_lessequals'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ),
% 1.16/1.53 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.16/1.53 Y, X ), Z ) ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.16/1.53 'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.16/1.53 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), X ),
% 1.16/1.53 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.16/1.53 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z )
% 1.16/1.53 , T ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.16/1.53 'c_HOL_Ominus__class_Ominus'( X ), Y ), T ), X ), Z ) ) ), ~(
% 1.16/1.53 'c_Ring__and__Field_Oring'( U, W, V0, V1, V2, V3 ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.16/1.53 'c_lessequals'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ),
% 1.16/1.53 X ), T ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ) ), ~(
% 1.16/1.53 'c_Ring__and__Field_Oring'( U, W, V0, V1, V2, V3 ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.16/1.53 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X
% 1.16/1.53 ), T ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Ominus__class_Ominus'( X ), T ), Z ) ) ) ), ~(
% 1.16/1.53 'c_Ring__and__Field_Oring'( U, W, V0, V1, V2, V3 ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.16/1.53 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Z
% 1.16/1.53 ), T ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), Z ) ) ), ~(
% 1.16/1.53 'c_Ring__and__Field_Oring'( U, W, V0, V1, V2, V3 ) ) ],
% 1.16/1.53 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X
% 1.16/1.53 ), Z ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ) ]
% 1.16/1.53 ,
% 1.16/1.53 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ) ) ],
% 1.16/1.53 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y
% 1.16/1.53 , X ), Z ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) )
% 1.16/1.53 ],
% 1.16/1.53 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ) ) ],
% 1.16/1.53 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.16/1.53 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ), ~( hBOOL(
% 1.16/1.53 hAPP( 'c_lessequals'( Y, X ), Z ) ) ) ],
% 1.16/1.53 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =(
% 1.16/1.53 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ) ), hBOOL(
% 1.16/1.53 hAPP( 'c_lessequals'( Y, X ), Z ) ) ],
% 1.16/1.53 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.16/1.53 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Y ), ~( hBOOL(
% 1.16/1.53 hAPP( 'c_lessequals'( Z, X ), Y ) ) ) ],
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.53 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.16/1.53 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.16/1.53 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ), ~( hBOOL( hAPP(
% 1.16/1.53 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ), ~( hBOOL(
% 1.16/1.53 hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ]
% 1.16/1.53 ,
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.53 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.16/1.53 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.16/1.53 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ), ~( hBOOL( hAPP(
% 1.16/1.53 'c_lessequals'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL(
% 1.16/1.53 hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ]
% 1.16/1.53 ,
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.16/1.53 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ),
% 1.16/1.53 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), ~( hBOOL( hAPP(
% 1.16/1.53 'c_lessequals'( U, X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), U ) ) )
% 1.16/1.53 , ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), T ) ) ), ~( hBOOL( hAPP(
% 1.16/1.53 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X )
% 1.16/1.53 , Y ), Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X )
% 1.16/1.53 , Y ), Z ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.16/1.53 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.16/1.53 'class_RealVector_Oreal__normed__vector'( Y ) ), ~(
% 1.16/1.53 'class_RealVector_Oreal__normed__vector'( Z ) ), =( hAPP( hAPP( T, hAPP(
% 1.16/1.53 'c_RealVector_OscaleR__class_OscaleR'( U, Z ), W ) ), V0 ), hAPP(
% 1.16/1.53 'c_RealVector_OscaleR__class_OscaleR'( U, Y ), hAPP( hAPP( T, W ), V0 ) )
% 1.16/1.53 ), ~( 'c_RealVector_Obounded__bilinear'( T, Z, X, Y ) ) ],
% 1.16/1.53 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.16/1.53 'class_RealVector_Oreal__normed__vector'( Y ) ), ~(
% 1.16/1.53 'class_RealVector_Oreal__normed__vector'( Z ) ), =( hAPP( hAPP( T, U ),
% 1.16/1.53 hAPP( 'c_RealVector_OscaleR__class_OscaleR'( W, X ), V0 ) ), hAPP(
% 1.16/1.53 'c_RealVector_OscaleR__class_OscaleR'( W, Y ), hAPP( hAPP( T, U ), V0 ) )
% 1.16/1.53 ), ~( 'c_RealVector_Obounded__bilinear'( T, Z, X, Y ) ) ],
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 1.16/1.53 ), 'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ) ), ~( hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.16/1.53 'c_HOL_Otimes__class_Otimes'( Z, X ), T ) ) ) ), ~( hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) )
% 1.16/1.53 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ), Z ) ) ) ],
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 1.16/1.53 ), 'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ) ), ~( hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.16/1.53 'c_HOL_Otimes__class_Otimes'( Z, X ), T ) ) ) ), ~( hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.16/1.53 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), T ) ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.16/1.53 ), T ), X ), Z ) ) ), ~( 'c_Ring__and__Field_Ofield'( U, W, V0, V1, V2,
% 1.16/1.53 V3, V4, V5, V6 ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.16/1.53 ), Z ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.16/1.53 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), T ), Z ) ) ) ), ~(
% 1.16/1.53 'c_Ring__and__Field_Ofield'( U, W, V0, V1, V2, V3, V4, V5, V6 ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X )
% 1.16/1.53 , Y ), Z ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X )
% 1.16/1.53 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ) ), ~(
% 1.16/1.53 'c_Ring__and__Field_Ofield'( U, W, V0, V1, V2, V3, V4, V5, V6 ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.16/1.53 X ), Z ), T ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.16/1.53 'c_HOL_Ominus__class_Ominus'( X ), Y ), T ), X ), Z ) ) ), ~(
% 1.16/1.53 'c_Ring__and__Field_Ofield'( U, W, V0, V1, V2, V3, V4, V5, V6 ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.16/1.53 'c_HOL_Ozero__class_Ozero'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.16/1.53 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.16/1.53 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X
% 1.16/1.53 ), Z ), X ), hAPP( 'c_HOL_Otimes__class_Otimes'( T, X ), U ) ) ), ~(
% 1.16/1.53 hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) )
% 1.16/1.53 ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.16/1.53 X ), X ), Y ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), U )
% 1.16/1.53 ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.16/1.53 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), hAPP(
% 1.16/1.53 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.16/1.53 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP(
% 1.16/1.53 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 1.16/1.53 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ) ) ) ],
% 1.16/1.53 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.16/1.53 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 1.16/1.53 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 1.16/1.53 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.16/1.53 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 1.16/1.53 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 1.16/1.53 [ ~( =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ), hAPP( hAPP( X,
% 1.16/1.53 hAPP( hAPP( Y, W ), T ) ), V0 ) ) ), ~( 'c_Ring__and__Field_Oring'( V1,
% 1.16/1.53 V2, V3, X, Y, V4 ) ), =( U, hAPP( hAPP( X, hAPP( hAPP( Y, hAPP( hAPP( V1
% 1.16/1.53 , W ), Z ) ), T ) ), V0 ) ) ],
% 1.16/1.53 [ ~( =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ), hAPP( hAPP( X,
% 1.16/1.53 hAPP( hAPP( Y, W ), T ) ), V0 ) ) ), ~( 'c_Ring__and__Field_Oring'( V1,
% 1.16/1.53 V2, V3, X, Y, V4 ) ), =( hAPP( hAPP( X, hAPP( hAPP( Y, hAPP( hAPP( V1, Z
% 1.16/1.53 ), W ) ), T ) ), U ), V0 ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 1.16/1.53 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.16/1.53 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ),
% 1.16/1.53 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP(
% 1.16/1.53 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 1.16/1.53 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ) ) ],
% 1.16/1.53 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP(
% 1.16/1.53 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.16/1.53 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ),
% 1.16/1.53 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP(
% 1.16/1.53 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 1.16/1.53 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ) ) ],
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.53 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ),
% 1.16/1.53 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.16/1.53 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X
% 1.16/1.53 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.53 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.16/1.53 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ),
% 1.16/1.53 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 1.16/1.53 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.53 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ),
% 1.16/1.53 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.16/1.53 X ), Z ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.16/1.53 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ),
% 1.16/1.53 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.53 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.16/1.53 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.16/1.53 X ), Y ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.16/1.53 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ),
% 1.16/1.53 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.16/1.53 [ =( hAPP( 'c_Fun_Ofcomp'( X, Y, 't_a', Z, T ), 'v_x' ), hAPP( Y, hAPP(
% 1.16/1.53 X, 'v_x' ) ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~(
% 1.16/1.53 'c_Ring__and__Field_Ofield'( Y, Z, T, U, W, V0, V1, V2, V3 ) ), =( hAPP(
% 1.16/1.53 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), V4 ), V5 ) ), V5 ), V4 ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~(
% 1.16/1.53 'c_Ring__and__Field_Ofield'( Y, Z, T, U, W, V0, V1, V2, V3 ) ), =( V4,
% 1.16/1.53 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), V4 ), V5 ) ), V5 ) ) ],
% 1.16/1.53 [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_Orderings_Obot__class_Obot'(
% 1.16/1.53 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.16/1.53 Y, Z, X ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ],
% 1.16/1.53 [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 1.16/1.53 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 1.16/1.53 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ) ) ), ~( hBOOL(
% 1.16/1.53 hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ) ],
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.16/1.53 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.16/1.53 'c_HOL_Oinverse__class_Odivide'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X
% 1.16/1.53 ), Z ), hAPP( 'c_HOL_Otimes__class_Otimes'( T, X ), Z ), X ),
% 1.16/1.53 'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ), =( Z,
% 1.16/1.53 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.16/1.53 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.16/1.53 'c_HOL_Oinverse__class_Odivide'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X
% 1.16/1.53 ), Z ), hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), T ), X ),
% 1.16/1.53 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ), =( Y,
% 1.16/1.53 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.53 [ hBOOL( hAPP( 'c_lessequals'( hAPP( 'c_Suc', X ), 'tc_nat' ), hAPP(
% 1.16/1.53 'c_Suc', X ) ) ) ],
% 1.16/1.53 [ ~( =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, T ), U ) ) ), =( Z, W )
% 1.16/1.53 , =( U, W ), ~( 'c_Ring__and__Field_Ofield'( V0, V1, V2, X, V3, V4, W, V5
% 1.16/1.53 , V6 ) ), =( hAPP( hAPP( V1, Y ), U ), hAPP( hAPP( V1, T ), Z ) ) ],
% 1.16/1.53 [ ~( =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, T ), U ) ) ), =( U, W )
% 1.16/1.53 , =( Z, W ), ~( 'c_Ring__and__Field_Ofield'( V0, X, V1, V2, V3, V4, W, V5
% 1.16/1.53 , V6 ) ), =( hAPP( hAPP( V2, Y ), U ), hAPP( hAPP( V2, T ), Z ) ) ],
% 1.16/1.53 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.16/1.53 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.16/1.53 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 1.16/1.53 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 1.16/1.53 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.16/1.53 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.16/1.53 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 1.16/1.53 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 1.16/1.53 [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ), 'c_Finite__Set_Ofinite'(
% 1.16/1.53 Y, X ) ],
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.16/1.53 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP(
% 1.16/1.53 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.16/1.53 , X ), T ), 'c_HOL_Oinverse__class_Odivide'( hAPP(
% 1.16/1.53 'c_HOL_Otimes__class_Otimes'( Y, X ), T ), Z, X ) ) ],
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.16/1.53 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.16/1.53 'c_HOL_Otimes__class_Otimes'( Y, X ), Z ), X ), hAPP(
% 1.16/1.53 'c_HOL_Otimes__class_Otimes'( Y, X ), T ) ) ), ~( hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) )
% 1.16/1.53 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), T ) ) ) ],
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), Z
% 1.16/1.53 ), X ), hAPP( 'c_HOL_Otimes__class_Otimes'( T, X ), Z ) ) ), ~( hBOOL(
% 1.16/1.53 hAPP( 'c_HOL_Oord__class_Oless'( T, X ), Y ) ) ), ~( hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.16/1.53 ],
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), Z
% 1.16/1.53 ), X ), hAPP( 'c_HOL_Otimes__class_Otimes'( T, X ), Z ) ) ), ~( hBOOL(
% 1.16/1.53 hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ), ~( hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.16/1.53 ],
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.16/1.53 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X
% 1.16/1.53 ), Z ), X ), hAPP( 'c_HOL_Otimes__class_Otimes'( T, X ), Z ) ) ), ~(
% 1.16/1.53 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.16/1.53 X ), Z ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) )
% 1.16/1.53 ],
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), Z
% 1.16/1.53 ), X ), hAPP( 'c_HOL_Otimes__class_Otimes'( T, X ), Z ) ) ), ~( hBOOL(
% 1.16/1.53 hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.16/1.53 ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ), Y ) ) ) ],
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), Z
% 1.16/1.53 ), X ), hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), T ) ) ), ~( hBOOL(
% 1.16/1.53 hAPP( 'c_HOL_Oord__class_Oless'( T, X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.16/1.53 ],
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), Z
% 1.16/1.53 ), X ), hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), T ) ) ), ~( hBOOL(
% 1.16/1.53 hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), T ) ) ), ~( hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) )
% 1.16/1.53 ],
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.16/1.53 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X
% 1.16/1.53 ), Z ), X ), hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), T ) ) ), ~(
% 1.16/1.53 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.16/1.53 X ), Y ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), T ) ) )
% 1.16/1.53 ],
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), Z
% 1.16/1.53 ), X ), hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), T ) ) ), ~( hBOOL(
% 1.16/1.53 hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.16/1.53 ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ), Z ) ) ) ],
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), Z
% 1.16/1.53 ), X ), hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), T ) ) ), ~( hBOOL(
% 1.16/1.53 hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), T ) ) ), ~( hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ) )
% 1.16/1.53 ],
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Otimes__class_Otimes'( T, X ), Y
% 1.16/1.53 ), X ), hAPP( 'c_HOL_Otimes__class_Otimes'( T, X ), Z ) ) ) ), ~( hBOOL(
% 1.16/1.53 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T
% 1.16/1.53 ) ) ) ],
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), Z
% 1.16/1.53 ), X ), hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), T ) ) ), ~( hBOOL(
% 1.16/1.53 hAPP( 'c_HOL_Oord__class_Oless'( T, X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.16/1.53 ],
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Otimes__class_Otimes'( T, X ), Z
% 1.16/1.53 ), X ), hAPP( 'c_HOL_Otimes__class_Otimes'( T, X ), Y ) ) ) ), ~( hBOOL(
% 1.16/1.53 hAPP( 'c_HOL_Oord__class_Oless'( T, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.16/1.53 ) ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.16/1.53 'c_HOL_Ominus__class_Ominus'( X ), Y ), hAPP(
% 1.16/1.53 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) ],
% 1.16/1.53 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.16/1.53 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.16/1.53 , Y ), hAPP( 'c_HOL_Otimes__class_Otimes'( Z, X ), T ) ), Z, X ),
% 1.16/1.53 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 1.16/1.53 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.16/1.53 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.16/1.53 , Y ), hAPP( 'c_HOL_Otimes__class_Otimes'( Z, X ), T ) ), T, X ),
% 1.16/1.53 'c_Divides_Odiv__class_Omod'( Y, T, X ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.16/1.53 'c_Finite__Set_Osetsum'( 'c_COMBB'( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.16/1.53 Y, X, X, Z ), T, Z, X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.16/1.53 'c_Finite__Set_Osetsum'( Y, T, Z, X ) ) ) ],
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.53 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.16/1.53 'c_lessequals'( Y, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ),
% 1.16/1.53 ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.16/1.53 ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, X ), hAPP(
% 1.16/1.53 'c_HOL_Otimes__class_Otimes'( Y, X ), T ) ) ) ), ~( hBOOL( hAPP(
% 1.16/1.53 'c_lessequals'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), T ), X ), Z )
% 1.16/1.53 ) ) ],
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.53 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.16/1.53 'c_lessequals'( Y, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ),
% 1.16/1.53 ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.16/1.53 ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ),
% 1.16/1.53 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ]
% 1.16/1.53 ,
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.53 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.16/1.53 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.16/1.53 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.16/1.53 X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ),
% 1.16/1.53 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ) ) ],
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.53 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.16/1.53 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), T ) ),
% 1.16/1.53 ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T )
% 1.16/1.53 ) ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.16/1.53 T, X ), Z ), X ), Y ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), hAPP(
% 1.16/1.53 'c_HOL_Otimes__class_Otimes'( T, X ), Z ) ) ) ) ],
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.53 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.16/1.53 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), T ) ),
% 1.16/1.53 ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T )
% 1.16/1.53 ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ),
% 1.16/1.53 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) ]
% 1.16/1.53 ,
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.53 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.16/1.53 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ) ), hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.16/1.53 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.16/1.53 X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.16/1.53 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), Y ) ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP(
% 1.16/1.53 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.16/1.53 X ), Y ) ), Y ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y, hAPP(
% 1.16/1.53 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.16/1.53 X ), Y ) ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y, hAPP(
% 1.16/1.53 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.16/1.53 X ), Y ) ) ) ],
% 1.16/1.53 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =( hAPP(
% 1.16/1.53 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.16/1.53 X ), Y ) ), Y ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP(
% 1.16/1.53 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.16/1.53 X ), Y ) ), Y ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.16/1.53 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), hAPP(
% 1.16/1.53 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ), ~(
% 1.16/1.53 'c_Ring__and__Field_Oring'( U, W, V0, V1, V2, V3 ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.16/1.53 X ), Y ), Z ) ), T ) ), ~( 'c_Ring__and__Field_Oring'( U, W, V0, V1, V2,
% 1.16/1.53 V3 ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP(
% 1.16/1.53 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), ~(
% 1.16/1.53 'c_Ring__and__Field_Opordered__ring'( T, U, W, V0, V1, V2, V3, V4 ) ) ]
% 1.16/1.53 ,
% 1.16/1.53 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.16/1.53 ), Y ) ), Z ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Z ), Y ) )
% 1.16/1.53 , ~( 'c_Ring__and__Field_Opordered__ring'( T, U, W, V0, V1, V2, V3, V4 )
% 1.16/1.53 ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP(
% 1.16/1.53 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Ominus__class_Ominus'( X ), Z ), Y ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.16/1.53 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) ) ), ~( hBOOL( hAPP(
% 1.16/1.53 'c_lessequals'( Z, X ), U ) ) ), ~( hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.16/1.53 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) ) ), ~( hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( Z, X ), U ) ) ), ~( hBOOL( hAPP(
% 1.16/1.53 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.16/1.53 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', X ), 'tc_nat' )
% 1.16/1.53 , hAPP( 'c_Suc', Y ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X,
% 1.16/1.53 'tc_nat' ), Y ) ) ) ],
% 1.16/1.53 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ), Y ) ), ~( hBOOL(
% 1.16/1.53 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', X ), 'tc_nat' ), hAPP(
% 1.16/1.53 'c_Suc', Y ) ) ) ) ],
% 1.16/1.53 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( 'c_Suc', X ), 'tc_nat' )
% 1.16/1.53 , hAPP( 'c_Suc', Y ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X,
% 1.16/1.53 'tc_nat' ), Y ) ) ) ],
% 1.16/1.53 [ 'c_Finite__Set_Ofinite'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.16/1.53 X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( X, Z )
% 1.16/1.53 ) ],
% 1.16/1.53 [ 'c_Finite__Set_Ofinite'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.16/1.53 X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( Y, Z )
% 1.16/1.53 ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.16/1.53 , X ), Z ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.16/1.53 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ), Y ) ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y )
% 1.16/1.53 , X ), Z ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.16/1.53 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ), Y ) ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.16/1.53 X ), Z ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), hAPP(
% 1.16/1.53 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.16/1.53 X ), Z ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), hAPP(
% 1.16/1.53 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.16/1.53 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ), Z )
% 1.16/1.53 ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.16/1.53 X ), Z ), X ), Y ) ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.16/1.53 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), X ), Z )
% 1.16/1.53 ), ~( hBOOL( hAPP( 'c_lessequals'( hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.16/1.53 X ), Z ), X ), Y ) ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.16/1.53 'c_lessequals'( Y, X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) )
% 1.16/1.53 ), ~( hBOOL( hAPP( 'c_lessequals'( Z, X ), hAPP(
% 1.16/1.53 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.16/1.53 'c_lessequals'( Y, X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) )
% 1.16/1.53 ), ~( hBOOL( hAPP( 'c_lessequals'( Z, X ), hAPP(
% 1.16/1.53 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP(
% 1.16/1.53 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.16/1.53 ), Y ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP(
% 1.16/1.53 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.16/1.53 ), Z ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.16/1.53 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z )
% 1.16/1.53 , T ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( U, X ), T ) ) ), ~( hBOOL(
% 1.16/1.53 hAPP( 'c_lessequals'( Y, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.16/1.53 , Z ), U ) ) ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.16/1.53 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), ~( hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.16/1.53 , hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), ~( hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.16/1.53 , hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.16/1.53 ), T ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) )
% 1.16/1.53 ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.16/1.53 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), ~( hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( Z, X ), T ) ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.16/1.53 , hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), ~( hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( Z, X ), T ) ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.16/1.53 , hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T
% 1.16/1.53 ), Y ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ) )
% 1.16/1.53 ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.16/1.53 ), Y ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), Z ) ]
% 1.16/1.53 ,
% 1.16/1.53 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.16/1.53 ), Y ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ), Z ) ]
% 1.16/1.53 ,
% 1.16/1.53 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.16/1.53 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) ) ), ~( hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( Z, X ), U ) ) ), ~( hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =( hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ), ~(
% 1.16/1.53 'c_Ring__and__Field_Oring'( T, U, W, V0, V1, V2 ) ) ],
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.16/1.53 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.16/1.53 'c_HOL_Otimes__class_Otimes'( Y, X ), Z ) ), hAPP(
% 1.16/1.53 'c_HOL_Otimes__class_Otimes'( T, X ), U ) ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X
% 1.16/1.53 ), U ) ), hAPP( 'c_HOL_Otimes__class_Otimes'( T, X ), Z ) ) ) ), =( Z, U
% 1.16/1.53 ), =( Y, T ) ],
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.16/1.53 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.16/1.53 'c_HOL_Otimes__class_Otimes'( Y, X ), Z ) ), hAPP(
% 1.16/1.53 'c_HOL_Otimes__class_Otimes'( T, X ), U ) ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X
% 1.16/1.53 ), U ) ), hAPP( 'c_HOL_Otimes__class_Otimes'( T, X ), Z ) ) ) ), =( Z, U
% 1.16/1.53 ), =( Y, T ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =( hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ), ~(
% 1.16/1.53 'c_Ring__and__Field_Ofield'( T, U, W, V0, V1, V2, V3, V4, V5 ) ) ],
% 1.16/1.53 [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 1.16/1.53 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 1.16/1.53 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 1.16/1.53 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 1.16/1.53 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.16/1.53 , U ), Y ), Z, X ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), W ), T ), Z, X ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Osemigroup__add'( X ) ), =( hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.16/1.53 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.16/1.53 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ), ~(
% 1.16/1.53 'c_Ring__and__Field_Opordered__ring'( U, W, V0, V1, V2, V3, V4, V5 ) ) ]
% 1.16/1.53 ,
% 1.16/1.53 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =( hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), ~(
% 1.16/1.53 'c_Ring__and__Field_Opordered__ring'( U, W, V0, V1, V2, V3, V4, V5 ) ) ]
% 1.16/1.53 ,
% 1.16/1.53 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), hBOOL(
% 1.16/1.53 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z
% 1.16/1.53 ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) ) ), ~(
% 1.16/1.53 hBOOL( hAPP( 'c_lessequals'( Z, X ), U ) ) ), ~( hBOOL( hAPP(
% 1.16/1.53 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__meet'( X ) ), =(
% 1.16/1.53 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.16/1.53 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ), T ),
% 1.16/1.53 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__meet'( X ) ), =(
% 1.16/1.53 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.16/1.53 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ) ),
% 1.16/1.53 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 1.16/1.53 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.16/1.53 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ) ),
% 1.16/1.53 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 1.16/1.53 hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.16/1.53 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ), T ),
% 1.16/1.53 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =( hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ), ~(
% 1.16/1.53 'c_OrderedGroup_Opordered__ab__group__add'( T, U, W, V0, V1, V2, V3 ) ) ]
% 1.16/1.53 ,
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X
% 1.16/1.53 ), Z ) ), hAPP( 'c_HOL_Otimes__class_Otimes'( T, X ), Z ) ), hAPP(
% 1.16/1.53 'c_HOL_Otimes__class_Otimes'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.16/1.53 , Y ), T ), X ), Z ) ) ],
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =( hAPP(
% 1.16/1.53 'c_HOL_Otimes__class_Otimes'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.16/1.53 , Y ), Z ), X ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.16/1.53 'c_HOL_Otimes__class_Otimes'( Y, X ), T ) ), hAPP(
% 1.16/1.53 'c_HOL_Otimes__class_Otimes'( Z, X ), T ) ) ) ],
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.16/1.53 hAPP( 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X
% 1.16/1.53 ), Z ), X ), hAPP( 'c_HOL_Otimes__class_Otimes'( T, X ), U ) ) ), ~(
% 1.16/1.53 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.16/1.53 X ), Z ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 1.16/1.53 X ), X ), Y ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, X ), U ) ) ), ~(
% 1.16/1.53 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ) ],
% 1.16/1.53 [ =( 'c_Fun_Ocomp'( X, 'c_Fun_Ocomp'( Y, Z, T, U, W ), U, V0, W ),
% 1.16/1.53 'c_Fun_Ocomp'( 'c_Fun_Ocomp'( X, Y, U, V0, T ), Z, T, V0, W ) ) ],
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP(
% 1.16/1.53 'c_HOL_Otimes__class_Otimes'( hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.16/1.53 Y ), X ), Z ), hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), hAPP(
% 1.16/1.53 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~(
% 1.16/1.53 'class_Ring__and__Field_Ofield'( Y ) ), =( hAPP( hAPP( Z, T ), hAPP( hAPP(
% 1.16/1.53 Z, U ), W ) ), hAPP( hAPP( Z, hAPP( 'c_HOL_Otimes__class_Otimes'( T, Y )
% 1.16/1.53 , U ) ), W ) ), ~( 'c_RealVector_Ovector__space'( Z, Y, X ) ) ],
% 1.16/1.53 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), hAPP( 'c_Suc', Y ) ) ),
% 1.16/1.53 ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ) ) ],
% 1.16/1.53 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP(
% 1.16/1.53 'c_lessequals'( hAPP( 'c_Suc', X ), 'tc_nat' ), Y ) ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP(
% 1.16/1.53 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.16/1.53 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), =( hAPP(
% 1.16/1.53 'c_HOL_Ouminus__class_Ouminus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.16/1.53 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =( hAPP(
% 1.16/1.53 'c_HOL_Otimes__class_Otimes'( Y, X ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X
% 1.16/1.53 ), Z ) ), hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), T ) ) ), ~(
% 1.16/1.53 'c_Ring__and__Field_Opordered__ring'( U, W, V0, V1, V2, V3, V4, V5 ) ) ]
% 1.16/1.53 ,
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =( hAPP(
% 1.16/1.53 'c_HOL_Otimes__class_Otimes'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.16/1.53 , Y ), Z ), X ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.16/1.53 'c_HOL_Otimes__class_Otimes'( Y, X ), T ) ), hAPP(
% 1.16/1.53 'c_HOL_Otimes__class_Otimes'( Z, X ), T ) ) ), ~(
% 1.16/1.53 'c_Ring__and__Field_Opordered__ring'( U, W, V0, V1, V2, V3, V4, V5 ) ) ]
% 1.16/1.53 ,
% 1.16/1.53 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =( hAPP(
% 1.16/1.53 'c_HOL_Otimes__class_Otimes'( Y, X ), hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.16/1.53 Z, X ), T ) ), hAPP( 'c_HOL_Otimes__class_Otimes'( Z, X ), hAPP(
% 1.16/1.53 'c_HOL_Otimes__class_Otimes'( Y, X ), T ) ) ), ~(
% 1.16/1.53 'c_Ring__and__Field_Opordered__ring'( U, W, V0, V1, V2, V3, V4, V5 ) ) ]
% 1.16/1.53 ,
% 1.16/1.53 [ ~( 'class_OrderedGroup_Osemigroup__mult'( X ) ), =( hAPP(
% 1.16/1.53 'c_HOL_Otimes__class_Otimes'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X )
% 1.16/1.53 , Z ), X ), T ), hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), hAPP(
% 1.16/1.53 'c_HOL_Otimes__class_Otimes'( Z, X ), T ) ) ), ~(
% 1.16/1.53 'c_Ring__and__Field_Opordered__ring'( U, W, V0, V1, V2, V3, V4, V5 ) ) ]
% 1.16/1.53 ,
% 1.16/1.53 [ ~( hBOOL( hAPP( 'c_lessequals'( hAPP( 'c_Suc', X ), 'tc_nat' ), X ) )
% 1.16/1.53 ) ],
% 1.16/1.53 [ =( hAPP( 'c_Fun_Ocomp'( X, Y, Z, T, 't_a' ), 'v_x' ), hAPP( X, hAPP( Y
% 1.16/1.53 , 'v_x' ) ) ) ],
% 1.16/1.53 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.16/1.53 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.16/1.53 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 1.16/1.53 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 1.16/1.53 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 1.16/1.53 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.16/1.53 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 1.16/1.53 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.16/1.53 'tc_bool' ) ) ) ],
% 1.16/1.53 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.16/1.53 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.16/1.53 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 1.16/1.53 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~(
% 1.16/1.53 'class_Ring__and__Field_Ofield'( Y ) ), =( hAPP( hAPP( Z, hAPP( hAPP(
% 1.16/1.53 'c_HOL_Ominus__class_Ominus'( Y ), T ), U ) ), W ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( Z, T ), W ) ), hAPP( hAPP(
% 1.16/1.53 Z, U ), W ) ) ), ~( 'c_RealVector_Ovector__space'( Z, Y, X ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~(
% 1.16/1.53 'class_Ring__and__Field_Ofield'( Y ) ), =( hAPP( hAPP( Z, T ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Ominus__class_Ominus'( X ), U ), W ) ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( Z, T ), U ) ), hAPP( hAPP(
% 1.16/1.53 Z, T ), W ) ) ), ~( 'c_RealVector_Ovector__space'( Z, Y, X ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.16/1.53 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL(
% 1.16/1.53 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y
% 1.16/1.53 ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.16/1.53 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X
% 1.16/1.53 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.16/1.53 Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.16/1.53 'c_HOL_Ominus__class_Ominus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.16/1.53 X ), Y ) ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Z ) ), hAPP(
% 1.16/1.53 'c_HOL_Ouminus__class_Ouminus'( X ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ) ) ],
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.53 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.16/1.53 'c_lessequals'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), Z ), X ), T )
% 1.16/1.53 ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ),
% 1.16/1.53 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ),
% 1.16/1.53 ~( hBOOL( hAPP( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X
% 1.16/1.53 ), X ), Y ) ) ) ],
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.53 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.16/1.53 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), T ) ),
% 1.16/1.53 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ),
% 1.16/1.53 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.16/1.53 hAPP( 'c_HOL_Otimes__class_Otimes'( T, X ), Z ), X ), Y ) ) ), hBOOL(
% 1.16/1.53 hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z
% 1.16/1.53 ) ) ],
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.53 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.16/1.53 'c_lessequals'( Y, X ), hAPP( 'c_HOL_Otimes__class_Otimes'( Z, X ), T ) )
% 1.16/1.53 ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ),
% 1.16/1.53 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ),
% 1.16/1.53 ~( hBOOL( hAPP( 'c_lessequals'( Z, X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.16/1.53 Y, T, X ) ) ) ) ],
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.53 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.16/1.53 'c_lessequals'( Y, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ),
% 1.16/1.53 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ),
% 1.16/1.53 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z
% 1.16/1.53 , X ), hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), T ) ) ) ), hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ) ]
% 1.16/1.53 ,
% 1.16/1.53 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, X, 'tc_fun'( Y,
% 1.16/1.53 'tc_bool' ) ), X ) ],
% 1.16/1.53 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.16/1.53 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Y, X ), Y ) ],
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 1.16/1.53 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.16/1.53 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.16/1.53 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 1.16/1.53 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.16/1.53 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.16/1.53 X ), X ), Y ) ) ) ],
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.53 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 1.16/1.53 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.16/1.53 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.16/1.53 X ), X ), Y ) ) ) ],
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.16/1.53 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 1.16/1.53 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), Z ) ) )
% 1.16/1.53 , ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.16/1.53 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.16/1.53 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP(
% 1.16/1.53 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( 't_a', X )
% 1.16/1.53 ), 'v_x' ), 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( Y, 'v_x'
% 1.16/1.53 ), hAPP( Z, 'v_x' ), X ) ) ],
% 1.16/1.53 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y
% 1.16/1.53 , X ), Y ) ) ],
% 1.16/1.53 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X
% 1.16/1.53 ), Y ) ) ],
% 1.16/1.53 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), X ) ) ],
% 1.16/1.53 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP(
% 1.16/1.53 'c_lessequals'( Z, 'tc_nat' ), Y ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( X
% 1.16/1.53 , 'tc_nat' ), Z ) ) ) ],
% 1.16/1.53 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), X ) ) ],
% 1.16/1.53 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( T, X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.16/1.53 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.16/1.53 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.16/1.53 T, X ), Z ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), T ) )
% 1.16/1.53 ) ],
% 1.16/1.53 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y
% 1.16/1.53 , X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( T, X ), Z ) ) ), ~( hBOOL(
% 1.16/1.53 hAPP( 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL(
% 1.16/1.53 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z
% 1.16/1.53 ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.16/1.53 'c_lessequals'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL(
% 1.16/1.53 hAPP( 'c_lessequals'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ]
% 1.16/1.53 ,
% 1.16/1.53 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( Y, X ), T ) ) ), ~( hBOOL( hAPP(
% 1.16/1.53 'c_lessequals'( T, X ), Z ) ) ) ],
% 1.16/1.53 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'(
% 1.16/1.53 Y, X ), T ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T, X ), Z ) )
% 1.16/1.53 ) ],
% 1.16/1.53 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y, X
% 1.16/1.53 ), Z ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), T ) ) ), ~( hBOOL(
% 1.16/1.53 hAPP( 'c_lessequals'( T, X ), Z ) ) ) ],
% 1.16/1.53 [ =( hAPP( hAPP( X, Y ), Y ), Z ), =( Y, T ), ~(
% 1.16/1.53 'c_Ring__and__Field_Ofield'( U, X, Z, W, V0, V1, T, V2, V3 ) ) ],
% 1.16/1.53 [ =( X, Y ), ~( 'c_Ring__and__Field_Ofield'( Z, T, U, W, V0, V1, Y, V2,
% 1.16/1.53 V3 ) ), =( hAPP( hAPP( T, hAPP( hAPP( W, V4 ), X ) ), X ), V4 ) ],
% 1.16/1.53 [ =( X, Y ), ~( 'c_Ring__and__Field_Ofield'( Z, T, U, W, V0, V1, Y, V2,
% 1.16/1.53 V3 ) ), =( V4, hAPP( hAPP( T, hAPP( hAPP( W, V4 ), X ) ), X ) ) ],
% 1.16/1.53 [ =( hAPP( hAPP( X, hAPP( Y, Z ) ), Z ), T ), =( Z, U ), ~(
% 1.16/1.53 'c_Ring__and__Field_Ofield'( Y, W, T, X, V0, V1, U, V2, V3 ) ) ],
% 1.16/1.53 [ =( X, Y ), ~( 'c_Ring__and__Field_Ofield'( Z, T, hAPP( hAPP( T, U ), X
% 1.16/1.53 ), W, V0, V1, Y, V2, V3 ) ), =( U, X ) ],
% 1.16/1.53 [ =( X, Y ), ~( 'c_Ring__and__Field_Ofield'( Z, T, U, W, V0, V1, Y, V2,
% 1.16/1.53 V3 ) ), =( hAPP( hAPP( T, X ), X ), U ) ],
% 1.16/1.53 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), U ) ), hAPP( hAPP( Z, hAPP(
% 1.16/1.53 hAPP( X, hAPP( hAPP( W, U ), Y ) ), T ) ), U ) ), =( U, V0 ), ~(
% 1.16/1.53 'c_Ring__and__Field_Ofield'( V1, Z, V2, W, V3, V4, V0, X, V5 ) ) ],
% 1.16/1.53 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ), hAPP( hAPP( Y, hAPP(
% 1.16/1.53 hAPP( X, Z ), hAPP( hAPP( W, T ), U ) ) ), T ) ), =( T, V0 ), ~(
% 1.16/1.53 'c_Ring__and__Field_Ofield'( V1, Y, V2, W, V3, V4, V0, X, V5 ) ) ],
% 1.16/1.53 [ =( hAPP( hAPP( X, Y ), hAPP( hAPP( Z, T ), U ) ), hAPP( hAPP( Z, hAPP(
% 1.16/1.53 hAPP( X, hAPP( hAPP( W, U ), Y ) ), T ) ), U ) ), =( U, V0 ), ~(
% 1.16/1.53 'c_Ring__and__Field_Ofield'( V1, Z, V2, W, X, V3, V0, V4, V5 ) ) ],
% 1.16/1.53 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), U ), hAPP( hAPP( Y, hAPP(
% 1.16/1.53 hAPP( X, Z ), hAPP( hAPP( W, T ), U ) ) ), T ) ), =( T, V0 ), ~(
% 1.16/1.53 'c_Ring__and__Field_Ofield'( V1, Y, V2, W, X, V3, V0, V4, V5 ) ) ],
% 1.16/1.53 [ =( X, Y ), ~( 'c_Ring__and__Field_Ofield'( Z, T, U, W, V0, V1, Y, V2,
% 1.16/1.53 V3 ) ), =( V4, hAPP( hAPP( W, hAPP( hAPP( T, V4 ), X ) ), X ) ) ],
% 1.16/1.53 [ =( X, Y ), ~( 'c_Ring__and__Field_Ofield'( Z, T, U, W, V0, V1, Y, V2,
% 1.16/1.53 V3 ) ), =( hAPP( hAPP( W, hAPP( hAPP( T, V4 ), X ) ), X ), V4 ) ],
% 1.16/1.53 [ =( hAPP( X, Y ), hAPP( hAPP( Z, T ), Y ) ), =( Y, U ), ~(
% 1.16/1.53 'c_Ring__and__Field_Ofield'( X, Z, T, W, V0, V1, U, V2, V3 ) ) ],
% 1.16/1.53 [ =( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), hAPP( hAPP( Y, Z ), hAPP( X, T
% 1.16/1.53 ) ) ), =( T, U ), ~( 'c_Ring__and__Field_Ofield'( W, Y, V0, V1, V2, X, U
% 1.16/1.53 , V3, V4 ) ) ],
% 1.16/1.53 [ =( hAPP( hAPP( X, hAPP( Y, Z ) ), hAPP( Y, T ) ), hAPP( hAPP( X, Z ),
% 1.16/1.53 T ) ), =( T, U ), ~( 'c_Ring__and__Field_Ofield'( W, X, V0, V1, V2, Y, U
% 1.16/1.53 , V3, V4 ) ) ],
% 1.16/1.53 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), Z ), T ), =( Z, U ), ~(
% 1.16/1.53 'c_Ring__and__Field_Ofield'( W, X, V0, Y, V1, V2, U, V3, V4 ) ) ],
% 1.16/1.53 [ =( hAPP( hAPP( X, hAPP( hAPP( Y, Z ), T ) ), T ), Z ), =( T, U ), ~(
% 1.16/1.53 'c_Ring__and__Field_Ofield'( W, X, V0, Y, V1, V2, U, V3, V4 ) ) ],
% 1.16/1.53 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( =(
% 1.16/1.53 'c_SetInterval_Oord__class_OatMost'( Y, X ),
% 1.16/1.53 'c_SetInterval_Oord__class_OatMost'( Z, X ) ) ), =( Y, Z ) ],
% 1.16/1.53 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.16/1.53 'c_Divides_Odiv__class_Omod'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X )
% 1.16/1.53 , Z ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.53 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.16/1.53 'c_Divides_Odiv__class_Omod'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X )
% 1.16/1.53 , Z ), Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~(
% 1.16/1.53 'class_OrderedGroup_Oab__group__add'( Y ) ), =( hAPP( Z, hAPP(
% 1.16/1.53 'c_HOL_Ouminus__class_Ouminus'( X ), T ) ), hAPP(
% 1.16/1.53 'c_HOL_Ouminus__class_Ouminus'( Y ), hAPP( Z, T ) ) ), ~(
% 1.16/1.53 'c_RealVector_Oadditive'( Z, X, Y ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~(
% 1.16/1.53 'class_OrderedGroup_Oab__group__add'( Y ) ), =( hAPP( Z,
% 1.16/1.53 'c_HOL_Ozero__class_Ozero'( Y ) ), 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 1.16/1.53 'c_RealVector_Oadditive'( Z, Y, X ) ) ],
% 1.16/1.53 [ =( X, Y ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X, 'tc_nat' ),
% 1.16/1.53 hAPP( 'c_Suc', Y ) ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, 'tc_nat' ),
% 1.16/1.53 X ) ) ) ],
% 1.16/1.53 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =( hAPP(
% 1.16/1.53 'c_RealVector_OscaleR__class_OscaleR'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 1.16/1.53 X ) ), hAPP( 'c_RealVector_OscaleR__class_OscaleR'( Z, X ),
% 1.16/1.53 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.16/1.53 [ ~( 'class_RealVector_Oreal__vector'( X ) ), ~( =( hAPP(
% 1.16/1.53 'c_RealVector_OscaleR__class_OscaleR'( Y, X ), Z ), hAPP(
% 1.16/1.53 'c_RealVector_OscaleR__class_OscaleR'( T, X ), Z ) ) ), =( Z,
% 1.16/1.53 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, T ) ],
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( hAPP(
% 1.16/1.53 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.16/1.53 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.16/1.53 , hAPP( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.16/1.53 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.16/1.53 ) ],
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ),
% 1.16/1.53 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.16/1.53 'c_HOL_Otimes__class_Otimes'( T, X ), Z ), X ), hAPP(
% 1.16/1.53 'c_HOL_Otimes__class_Otimes'( T, X ), Y ) ) ) ) ],
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.16/1.53 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), T ) ), ~( hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), Z
% 1.16/1.53 ), X ), hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), T ) ) ) ) ],
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ), hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), T ) ),
% 1.16/1.53 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP(
% 1.16/1.53 'c_HOL_Otimes__class_Otimes'( Z, X ), T ), X ), hAPP(
% 1.16/1.53 'c_HOL_Otimes__class_Otimes'( Y, X ), T ) ) ) ) ],
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.16/1.53 hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, X ), T ) ), ~( hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( hAPP( 'c_HOL_Otimes__class_Otimes'( Z, X ), Y
% 1.16/1.53 ), X ), hAPP( 'c_HOL_Otimes__class_Otimes'( T, X ), Y ) ) ) ) ],
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.16/1.53 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.16/1.53 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.16/1.53 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.16/1.53 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), hAPP(
% 1.16/1.53 'c_HOL_Ouminus__class_Ouminus'( X ),
% 1.16/1.53 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP(
% 1.16/1.53 'c_HOL_Ouminus__class_Ouminus'( X ), Y ), hAPP(
% 1.16/1.53 'c_HOL_Ouminus__class_Ouminus'( X ), Z ), X ) ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.16/1.53 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.16/1.53 ), X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), X ), hAPP(
% 1.16/1.53 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ), ~( hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) )
% 1.16/1.53 ],
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 1.16/1.53 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.16/1.53 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), =( U,
% 1.16/1.53 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.16/1.53 ), =( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), U ), hAPP(
% 1.16/1.53 'c_HOL_Otimes__class_Otimes'( T, X ), Z ) ) ],
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( hAPP(
% 1.16/1.53 'c_HOL_Otimes__class_Otimes'( Y, X ), Z ), hAPP(
% 1.16/1.53 'c_HOL_Otimes__class_Otimes'( T, X ), U ) ) ), =( Z,
% 1.16/1.53 'c_HOL_Ozero__class_Ozero'( X ) ), =( U, 'c_HOL_Ozero__class_Ozero'( X )
% 1.16/1.53 ), =( 'c_HOL_Oinverse__class_Odivide'( Y, U, X ),
% 1.16/1.53 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ],
% 1.16/1.53 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 1.16/1.53 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.16/1.53 'c_SetInterval_Oord__class_OlessThan'( Y, X ),
% 1.16/1.53 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ), 'tc_fun'( X,
% 1.16/1.53 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 1.16/1.53 ) ],
% 1.16/1.53 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.16/1.53 'c_Divides_Odiv__class_Omod'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X )
% 1.16/1.53 , Z ), hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), T ), X ), hAPP(
% 1.16/1.53 'c_HOL_Otimes__class_Otimes'( Y, X ), 'c_Divides_Odiv__class_Omod'( Z, T
% 1.16/1.53 , X ) ) ) ],
% 1.16/1.53 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.16/1.53 'c_Divides_Odiv__class_Omod'( hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X )
% 1.16/1.53 , Z ), hAPP( 'c_HOL_Otimes__class_Otimes'( T, X ), Z ), X ), hAPP(
% 1.16/1.53 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Omod'( Y, T, X ), X
% 1.16/1.53 ), Z ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.16/1.53 X ), Z ), T ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( hAPP( hAPP(
% 1.16/1.53 'c_HOL_Ominus__class_Ominus'( X ), Y ), T ), X ), Z ) ) ), ~(
% 1.16/1.53 'c_Ring__and__Field_Oring'( U, W, V0, V1, V2, V3 ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X )
% 1.16/1.53 , Y ), Z ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X )
% 1.16/1.53 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ) ), ~(
% 1.16/1.53 'c_Ring__and__Field_Oring'( U, W, V0, V1, V2, V3 ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.16/1.53 ), Z ), X ), T ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.16/1.53 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), T ), Z ) ) ) ), ~(
% 1.16/1.53 'c_Ring__and__Field_Oring'( U, W, V0, V1, V2, V3 ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 1.16/1.53 ), T ), X ), Z ) ) ), ~( 'c_Ring__and__Field_Oring'( U, W, V0, V1, V2,
% 1.16/1.53 V3 ) ) ],
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.16/1.53 ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ), hAPP(
% 1.16/1.53 'c_HOL_Ouminus__class_Ouminus'( X ), Y ) ) ) ) ],
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( Y, X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 1.16/1.53 X ), Y ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Y, X ),
% 1.16/1.53 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.16/1.53 [ hBOOL( hAPP( 'c_lessequals'( hAPP( 'c_Suc', X ), 'tc_nat' ), hAPP(
% 1.16/1.53 'c_Suc', Y ) ) ), ~( hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ) )
% 1.16/1.53 ],
% 1.16/1.53 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), ~( hBOOL( hAPP(
% 1.16/1.53 'c_lessequals'( hAPP( 'c_Suc', X ), 'tc_nat' ), hAPP( 'c_Suc', Y ) ) ) )
% 1.16/1.53 ],
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.16/1.53 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.16/1.53 'c_HOL_Oinverse__class_Odivide'( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.16/1.53 'c_HOL_Ozero__class_Ozero'( X ), X ), Y ), Y, X ),
% 1.16/1.53 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.53 [ =( 'c_Fun_Ofcomp'( 'c_Fun_Ofcomp'( X, Y, Z, T, U ), W, Z, U, V0 ),
% 1.16/1.53 'c_Fun_Ofcomp'( X, 'c_Fun_Ofcomp'( Y, W, T, U, V0 ), Z, T, V0 ) ) ],
% 1.16/1.53 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ) ) ],
% 1.16/1.53 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ) ) ],
% 1.16/1.53 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( 'c_lessequals'( Y
% 1.16/1.53 , X ), Z ) ), hBOOL( hAPP( 'c_lessequals'( Z, X ), Y ) ) ],
% 1.16/1.53 [ hBOOL( hAPP( 'c_lessequals'( X, 'tc_nat' ), Y ) ), hBOOL( hAPP(
% 1.16/1.53 'c_lessequals'( Y, 'tc_nat' ), X ) ) ],
% 1.16/1.53 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ) ) ],
% 1.16/1.53 [ ~( 'class_Orderings_Oorder'( X ) ), ~( hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( Y, X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.16/1.53 'c_HOL_Oord__class_Oless'( Z, X ), Y ) ) ) ],
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP(
% 1.16/1.53 'c_HOL_Otimes__class_Otimes'( Y, X ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X
% 1.16/1.53 ), Z ) ), hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), T ) ) ) ],
% 1.16/1.53 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP(
% 1.16/1.53 'c_HOL_Otimes__class_Otimes'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.16/1.53 , Y ), Z ), X ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.16/1.53 'c_HOL_Otimes__class_Otimes'( Y, X ), T ) ), hAPP(
% 1.16/1.53 'c_HOL_Otimes__class_Otimes'( Z, X ), T ) ) ) ],
% 1.16/1.53 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP(
% 1.16/1.53 'c_HOL_Otimes__class_Otimes'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.16/1.53 , Y ), Z ), X ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.16/1.53 'c_HOL_Otimes__class_Otimes'( Y, X ), T ) ), hAPP(
% 1.16/1.53 'c_HOL_Otimes__class_Otimes'( Z, X ), T ) ) ) ],
% 1.16/1.53 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP(
% 1.16/1.53 'c_HOL_Otimes__class_Otimes'( Y, X ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X
% 1.16/1.53 ), Z ) ), hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), T ) ) ) ],
% 1.16/1.53 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =( hAPP(
% 1.16/1.53 'c_HOL_Otimes__class_Otimes'( Y, X ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X
% 1.16/1.53 ), Z ) ), hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), T ) ) ) ],
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP(
% 1.16/1.53 'c_HOL_Otimes__class_Otimes'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.16/1.53 , Y ), Z ), X ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.16/1.53 'c_HOL_Otimes__class_Otimes'( Y, X ), T ) ), hAPP(
% 1.16/1.53 'c_HOL_Otimes__class_Otimes'( Z, X ), T ) ) ) ],
% 1.16/1.53 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.16/1.53 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.16/1.53 , 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ), T ), Z, X ),
% 1.16/1.53 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.16/1.53 , Y ), T ), Z, X ) ) ],
% 1.16/1.53 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.16/1.53 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.16/1.53 , Y ), 'c_Divides_Odiv__class_Omod'( Z, T, X ) ), T, X ),
% 1.16/1.53 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.16/1.53 , Y ), Z ), T, X ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Ouminus__class_Ouminus'( X
% 1.16/1.53 ), Y ) ), Z ) ), Z ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Osemigroup__add'( X ) ), =( hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.16/1.53 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.16/1.53 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ), ~(
% 1.16/1.53 'c_OrderedGroup_Opordered__ab__group__add'( U, W, V0, V1, V2, V3, V4 ) )
% 1.16/1.53 ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =( hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), ~(
% 1.16/1.53 'c_OrderedGroup_Opordered__ab__group__add'( U, W, V0, V1, V2, V3, V4 ) )
% 1.16/1.53 ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Osemigroup__add'( X ) ),
% 1.16/1.53 'c_OrderedGroup_Osemigroup__add'( 'c_HOL_Oplus__class_Oplus'( X ), X ) ]
% 1.16/1.53 ,
% 1.16/1.53 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.16/1.53 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.16/1.53 , Y ), Z ), Z, X ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 1.16/1.53 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.16/1.53 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.16/1.53 , Y ), Z ), Y, X ), 'c_Divides_Odiv__class_Omod'( Z, Y, X ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.16/1.53 , hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.16/1.53 ), Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z )
% 1.16/1.53 ) ), ~( hBOOL( hAPP( 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.16/1.53 , hBOOL( hAPP( 'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.16/1.53 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X
% 1.16/1.53 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.16/1.53 , hBOOL( hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.16/1.53 ), Y ), Z ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T )
% 1.16/1.53 ) ), ~( hBOOL( hAPP( 'c_lessequals'( Z, X ), T ) ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.16/1.53 , hBOOL( hAPP( 'c_lessequals'( Y, X ), Z ) ), ~( hBOOL( hAPP(
% 1.16/1.53 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Y ), X
% 1.16/1.53 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), hBOOL(
% 1.16/1.53 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z
% 1.16/1.53 ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), ~(
% 1.16/1.53 hBOOL( hAPP( 'c_lessequals'( Y, X ), T ) ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), hBOOL(
% 1.16/1.53 hAPP( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z
% 1.16/1.53 ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), ~(
% 1.16/1.53 hBOOL( hAPP( 'c_lessequals'( Z, X ), T ) ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =( hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ), ~(
% 1.16/1.53 'c_Ring__and__Field_Opordered__ring'( T, U, W, V0, V1, V2, V3, V4 ) ) ]
% 1.16/1.53 ,
% 1.16/1.53 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~(
% 1.16/1.53 'class_Ring__and__Field_Ofield'( Y ) ), =( hAPP( hAPP( Z, T ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), U ), W ) ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( Z, T ), U ) ), hAPP( hAPP( Z
% 1.16/1.53 , T ), W ) ) ), ~( 'c_RealVector_Ovector__space'( Z, Y, X ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~(
% 1.16/1.53 'class_Ring__and__Field_Ofield'( Y ) ), =( hAPP( hAPP( Z, hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( Y ), T ), U ) ), W ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( Z, T ), W ) ), hAPP( hAPP( Z
% 1.16/1.53 , U ), W ) ) ), ~( 'c_RealVector_Ovector__space'( Z, Y, X ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.16/1.53 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ),
% 1.16/1.53 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.16/1.53 ) ) ],
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.16/1.53 X ) ), ~( =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) )
% 1.16/1.53 , =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =( hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), ~(
% 1.16/1.53 'c_Ring__and__Field_Oring'( U, W, V0, V1, V2, V3 ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Osemigroup__add'( X ) ), =( hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.16/1.53 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.16/1.53 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ), ~(
% 1.16/1.53 'c_Ring__and__Field_Oring'( U, W, V0, V1, V2, V3 ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~(
% 1.16/1.53 'class_OrderedGroup_Oab__group__add'( Y ) ), =( hAPP( Z, hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( Y ), hAPP( Z, T ) ), hAPP( Z, U ) ) ), ~(
% 1.16/1.53 'c_RealVector_Oadditive'( Z, X, Y ) ) ],
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.16/1.53 X ) ), =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.16/1.53 'c_HOL_Otimes__class_Otimes'( Y, X ), Z ) ), hAPP(
% 1.16/1.53 'c_HOL_Otimes__class_Otimes'( Y, X ), T ) ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X
% 1.16/1.53 ), T ) ), hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), Z ) ) ) ],
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.16/1.53 X ) ), =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.16/1.53 'c_HOL_Otimes__class_Otimes'( Y, X ), Z ) ), hAPP(
% 1.16/1.53 'c_HOL_Otimes__class_Otimes'( Y, X ), T ) ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X
% 1.16/1.53 ), T ) ), hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X ), Z ) ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.16/1.53 X ), Y ), Z ) ), Z ), Y ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 1.16/1.53 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.16/1.53 , 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.16/1.53 ,
% 1.16/1.53 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.16/1.53 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.16/1.53 , Y ), Z ), T, X ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), 'c_Divides_Odiv__class_Omod'( Y, T, X )
% 1.16/1.53 ), 'c_Divides_Odiv__class_Omod'( Z, T, X ) ), T, X ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__join'( X ) ), =(
% 1.16/1.53 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.16/1.53 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ), T ),
% 1.16/1.53 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__join'( X ) ), =(
% 1.16/1.53 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.16/1.53 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ) ),
% 1.16/1.53 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 1.16/1.53 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.16/1.53 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ) ),
% 1.16/1.53 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 1.16/1.53 hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.16/1.53 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ), T ),
% 1.16/1.53 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 1.16/1.53 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.16/1.53 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.16/1.53 , Y ), Z ), T, X ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_Divides_Odiv__class_Omod'( Z, T
% 1.16/1.53 , X ) ), T, X ) ) ],
% 1.16/1.53 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.16/1.53 'c_Divides_Odiv__class_Omod'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 1.16/1.53 , Y ), Z ), T, X ), 'c_Divides_Odiv__class_Omod'( hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), 'c_Divides_Odiv__class_Omod'( Y, T, X )
% 1.16/1.53 ), Z ), T, X ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Osemigroup__add'( X ) ), =( hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.16/1.53 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.16/1.53 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ), ~(
% 1.16/1.53 'c_Ring__and__Field_Ofield'( U, W, V0, V1, V2, V3, V4, V5, V6 ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =( hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), ~(
% 1.16/1.53 'c_Ring__and__Field_Ofield'( U, W, V0, V1, V2, V3, V4, V5, V6 ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ),
% 1.16/1.53 'c_OrderedGroup_Ocancel__ab__semigroup__add__axioms'(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), X ) ],
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =( hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Otimes__class_Otimes'( Y, X
% 1.16/1.53 ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.16/1.53 'c_HOL_Otimes__class_Otimes'( T, X ), Z ) ), U ) ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Otimes__class_Otimes'( hAPP(
% 1.16/1.53 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), Z ) ), U ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.16/1.53 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.16/1.53 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) )
% 1.16/1.53 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Ominus__class_Ominus'( X ), Y ), T ) ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Ominus__class_Ominus'( X ), Z ), U ) ) ) ],
% 1.16/1.53 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =( hAPP(
% 1.16/1.53 'c_RealVector_OscaleR__class_OscaleR'( Y, X ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.16/1.53 'c_RealVector_OscaleR__class_OscaleR'( Y, X ), Z ) ), hAPP(
% 1.16/1.53 'c_RealVector_OscaleR__class_OscaleR'( Y, X ), T ) ) ) ],
% 1.16/1.53 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( hAPP(
% 1.16/1.53 'c_RealVector_OscaleR__class_OscaleR'( Y, X ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.16/1.53 'c_RealVector_OscaleR__class_OscaleR'( Y, X ), Z ) ), hAPP(
% 1.16/1.53 'c_RealVector_OscaleR__class_OscaleR'( Y, X ), T ) ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), Z ) ), =( Y, hAPP(
% 1.16/1.53 'c_HOL_Ouminus__class_Ouminus'( X ), T ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.16/1.53 Y ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 1.16/1.53 Y ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.16/1.53 Y ) ],
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.16/1.53 X ) ), =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.16/1.53 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 1.16/1.53 Y ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 1.16/1.53 Y ) ],
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.16/1.53 Y ) ],
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 1.16/1.53 Y ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.16/1.53 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.16/1.53 X ), Y ), Z ) ), Z ), Y ) ],
% 1.16/1.53 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.16/1.53 'class_RealVector_Oreal__normed__vector'( Y ) ), ~(
% 1.16/1.53 'class_RealVector_Oreal__normed__vector'( Z ) ), =( hAPP( hAPP( T, U ),
% 1.16/1.53 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), W ), V0 ) ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( Y ), hAPP( hAPP( T, U ), W ) ), hAPP( hAPP( T
% 1.16/1.53 , U ), V0 ) ) ), ~( 'c_RealVector_Obounded__bilinear'( T, Z, X, Y ) ) ]
% 1.16/1.53 ,
% 1.16/1.53 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.16/1.53 'class_RealVector_Oreal__normed__vector'( Y ) ), ~(
% 1.16/1.53 'class_RealVector_Oreal__normed__vector'( Z ) ), =( hAPP( hAPP( T, hAPP(
% 1.16/1.53 hAPP( 'c_HOL_Oplus__class_Oplus'( Z ), U ), W ) ), V0 ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( Y ), hAPP( hAPP( T, U ), V0 ) ), hAPP( hAPP(
% 1.16/1.53 T, W ), V0 ) ) ), ~( 'c_RealVector_Obounded__bilinear'( T, Z, X, Y ) ) ]
% 1.16/1.53 ,
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.16/1.53 'c_HOL_Oinverse__class_Odivide'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.16/1.53 X ), Y ), Z ), T, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.16/1.53 'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ),
% 1.16/1.53 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ) ],
% 1.16/1.53 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.16/1.53 'c_HOL_Oinverse__class_Odivide'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.16/1.53 X ), Y ), Z ), T, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.16/1.53 'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ),
% 1.16/1.53 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.16/1.53 'c_Finite__Set_Osetsum'( 'c_COMBS'( 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'(
% 1.16/1.53 X ), Y, X, 'tc_fun'( X, X ), Z ), T, Z, X, X ), U, Z, X ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), 'c_Finite__Set_Osetsum'( Y, U, Z, X ) )
% 1.16/1.53 , 'c_Finite__Set_Osetsum'( T, U, Z, X ) ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), ~( =( hAPP( Y,
% 1.16/1.53 'c_ATP__Linkup_Osko__Finite__Set__Xsetsum__cong2__1__1'( Z, Y, T, U, X )
% 1.16/1.53 ), hAPP( T, 'c_ATP__Linkup_Osko__Finite__Set__Xsetsum__cong2__1__1'( Z,
% 1.16/1.53 Y, T, U, X ) ) ) ), =( 'c_Finite__Set_Osetsum'( Y, Z, U, X ),
% 1.16/1.53 'c_Finite__Set_Osetsum'( T, Z, U, X ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), ~( =( hAPP( Y,
% 1.16/1.53 'c_ATP__Linkup_Osko__Finite__Set__Xsetsum__cong__1__1'( Z, Y, T, U, X ) )
% 1.16/1.53 , hAPP( T, 'c_ATP__Linkup_Osko__Finite__Set__Xsetsum__cong__1__1'( Z, Y,
% 1.16/1.53 T, U, X ) ) ) ), =( 'c_Finite__Set_Osetsum'( Y, Z, U, X ),
% 1.16/1.53 'c_Finite__Set_Osetsum'( T, Z, U, X ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.16/1.53 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OlessThan'( hAPP(
% 1.16/1.53 'c_Suc', Z ), 'tc_nat' ), 'tc_nat', X ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), 'c_Finite__Set_Osetsum'( Y,
% 1.16/1.53 'c_SetInterval_Oord__class_OlessThan'( Z, 'tc_nat' ), 'tc_nat', X ) ),
% 1.16/1.53 hAPP( Y, Z ) ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.16/1.53 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatMost'( hAPP(
% 1.16/1.53 'c_Suc', Z ), 'tc_nat' ), 'tc_nat', X ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), 'c_Finite__Set_Osetsum'( Y,
% 1.16/1.53 'c_SetInterval_Oord__class_OatMost'( Z, 'tc_nat' ), 'tc_nat', X ) ), hAPP(
% 1.16/1.53 Y, hAPP( 'c_Suc', Z ) ) ) ) ],
% 1.16/1.53 [ ~( 'class_HOL_Oord'( X ) ), ~( 'class_OrderedGroup_Ocomm__monoid__add'(
% 1.16/1.53 Y ) ), =( 'c_Finite__Set_Osetsum'( Z,
% 1.16/1.53 'c_SetInterval_Oord__class_OatLeastLessThan'( T, U, X ), X, Y ),
% 1.16/1.53 'c_Finite__Set_Osetsum'( W, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.16/1.53 T, U, X ), X, Y ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.16/1.53 'c_List_Osko__SetInterval__Xsetsum__ivl__cong__1__1'( T, U, Z, W, X, Y )
% 1.16/1.53 , X ), U ) ) ],
% 1.16/1.53 [ ~( 'class_HOL_Oord'( X ) ), ~( 'class_OrderedGroup_Ocomm__monoid__add'(
% 1.16/1.53 Y ) ), =( 'c_Finite__Set_Osetsum'( Z,
% 1.16/1.53 'c_SetInterval_Oord__class_OatLeastLessThan'( T, U, X ), X, Y ),
% 1.16/1.53 'c_Finite__Set_Osetsum'( W, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.16/1.53 T, U, X ), X, Y ) ), hBOOL( hAPP( 'c_lessequals'( T, X ),
% 1.16/1.53 'c_List_Osko__SetInterval__Xsetsum__ivl__cong__1__1'( T, U, Z, W, X, Y )
% 1.16/1.53 ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.16/1.53 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.16/1.53 hAPP( 'c_Suc', Z ), hAPP( 'c_Suc', T ), 'tc_nat' ), 'tc_nat', X ),
% 1.16/1.53 'c_Finite__Set_Osetsum'( 'c_COMBB'( Y, 'c_Suc', 'tc_nat', X, 'tc_nat' ),
% 1.16/1.53 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, 'tc_nat' ), 'tc_nat'
% 1.16/1.53 , X ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.16/1.53 'c_HOL_Ominus__class_Ominus'( X ), 'c_Finite__Set_Osetsum'( Y,
% 1.16/1.53 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, 'tc_nat' ), 'tc_nat'
% 1.16/1.53 , X ) ), 'c_Finite__Set_Osetsum'( Y,
% 1.16/1.53 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, U, 'tc_nat' ), 'tc_nat'
% 1.16/1.53 , X ) ), 'c_Finite__Set_Osetsum'( Y,
% 1.16/1.53 'c_SetInterval_Oord__class_OatLeastLessThan'( U, T, 'tc_nat' ), 'tc_nat'
% 1.16/1.53 , X ) ), ~( hBOOL( hAPP( 'c_lessequals'( U, 'tc_nat' ), T ) ) ), ~( hBOOL(
% 1.16/1.53 hAPP( 'c_lessequals'( Z, 'tc_nat' ), U ) ) ) ],
% 1.16/1.53 [ 'c_Finite__Set_Ofinite'( 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.16/1.53 X, Y, 'tc_nat' ), 'tc_nat' ) ],
% 1.16/1.53 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 1.16/1.53 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.16/1.53 'c_SetInterval_Oord__class_OgreaterThanLessThan'( Y, Z, X ),
% 1.16/1.53 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, X ), 'tc_fun'( X,
% 1.16/1.53 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 1.16/1.53 ) ],
% 1.16/1.53 [ =( hAPP( 'c_Fun_Ofcomp'( 'v_f', 'v_g', 't_a', 't_b', 't_c' ), 'v_x' )
% 1.16/1.53 , hAPP( 'v_g', hAPP( 'v_f', 'v_x' ) ) ) ],
% 1.16/1.53 [ =( hAPP( 'c_Fun_Ocomp'( 'v_f', 'v_g', 't_a', 't_b', 't_c' ), 'v_x' ),
% 1.16/1.53 hAPP( 'v_f', hAPP( 'v_g', 'v_x' ) ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.16/1.53 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.16/1.53 Z, T, 'tc_nat' ), 'tc_nat', X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.16/1.53 X ), hAPP( Y, Z ) ), 'c_Finite__Set_Osetsum'( Y,
% 1.16/1.53 'c_SetInterval_Oord__class_OatLeastLessThan'( hAPP( 'c_Suc', Z ), T,
% 1.16/1.53 'tc_nat' ), 'tc_nat', X ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.16/1.53 Z, 'tc_nat' ), T ) ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.16/1.53 'c_Finite__Set_Osetsum'( Y, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.16/1.53 Z, hAPP( 'c_Suc', T ), 'tc_nat' ), 'tc_nat', X ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), 'c_Finite__Set_Osetsum'( Y,
% 1.16/1.53 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, 'tc_nat' ), 'tc_nat'
% 1.16/1.53 , X ) ), hAPP( Y, T ) ) ), hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( T,
% 1.16/1.53 'tc_nat' ), Z ) ) ],
% 1.16/1.53 [ 'c_Finite__Set_Ofinite'(
% 1.16/1.53 'c_SetInterval_Oord__class_OgreaterThanLessThan'( X, Y, 'tc_nat' ),
% 1.16/1.53 'tc_nat' ) ],
% 1.16/1.53 [ ~( 'class_HOL_Oord'( X ) ), ~( 'class_OrderedGroup_Ocomm__monoid__add'(
% 1.16/1.53 Y ) ), ~( =( hAPP( Z,
% 1.16/1.53 'c_List_Osko__SetInterval__Xsetsum__ivl__cong__1__1'( T, U, Z, W, X, Y )
% 1.16/1.53 ), hAPP( W, 'c_List_Osko__SetInterval__Xsetsum__ivl__cong__1__1'( T, U,
% 1.16/1.53 Z, W, X, Y ) ) ) ), =( 'c_Finite__Set_Osetsum'( Z,
% 1.16/1.53 'c_SetInterval_Oord__class_OatLeastLessThan'( T, U, X ), X, Y ),
% 1.16/1.53 'c_Finite__Set_Osetsum'( W, 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 1.16/1.53 T, U, X ), X, Y ) ) ],
% 1.16/1.53 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'v_m', 'tc_nat' ), 'v_n' ) ) ]
% 1.16/1.53 ,
% 1.16/1.53 [ =( 'c_SetInterval_Oord__class_OatLeastLessThan'( hAPP( 'c_Suc', X ), Y
% 1.16/1.53 , 'tc_nat' ), 'c_SetInterval_Oord__class_OgreaterThanLessThan'( X, Y,
% 1.16/1.53 'tc_nat' ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), 'c_Finite__Set_Osetsum'( Y,
% 1.16/1.53 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, 'tc_nat' ), 'tc_nat'
% 1.16/1.53 , X ) ), 'c_Finite__Set_Osetsum'( Y,
% 1.16/1.53 'c_SetInterval_Oord__class_OatLeastLessThan'( T, U, 'tc_nat' ), 'tc_nat'
% 1.16/1.53 , X ) ), 'c_Finite__Set_Osetsum'( Y,
% 1.16/1.53 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, U, 'tc_nat' ), 'tc_nat'
% 1.16/1.53 , X ) ), ~( hBOOL( hAPP( 'c_lessequals'( T, 'tc_nat' ), U ) ) ), ~( hBOOL(
% 1.16/1.53 hAPP( 'c_lessequals'( Z, 'tc_nat' ), T ) ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( 't_a' ) ), =( hAPP( 'v_g'
% 1.16/1.53 , X ), hAPP( 'v_f', X ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X,
% 1.16/1.53 'tc_nat' ), 'v_n' ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'v_m'
% 1.16/1.53 , 'tc_nat' ), X ) ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), hAPP( Y, Z ) ), 'c_Finite__Set_Osetsum'(
% 1.16/1.53 Y, 'c_SetInterval_Oord__class_OgreaterThanLessThan'( Z, T, 'tc_nat' ),
% 1.16/1.53 'tc_nat', X ) ), 'c_Finite__Set_Osetsum'( Y,
% 1.16/1.53 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, 'tc_nat' ), 'tc_nat'
% 1.16/1.53 , X ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( Z, 'tc_nat' ), T ) )
% 1.16/1.53 ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ), =( hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), U ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 1.16/1.53 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), =( Y, T ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 1.16/1.53 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =( hAPP(
% 1.16/1.53 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.16/1.53 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP(
% 1.16/1.53 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.16/1.53 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) )
% 1.16/1.53 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.16/1.53 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.16/1.53 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.16/1.53 X ), Y ), Z ) ), T ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =( hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.16/1.53 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.16/1.53 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.16/1.53 X ), Y ), Z ) ), T ) ) ],
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.16/1.53 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.16/1.53 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ) ],
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.16/1.53 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.16/1.53 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.16/1.53 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.16/1.53 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( 't_a' ) ), =( hAPP( 'v_g'
% 1.16/1.53 , X ), hAPP( 'v_f', X ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( X,
% 1.16/1.53 'tc_nat' ), 'v_n' ) ) ), ~( hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'v_m'
% 1.16/1.53 , 'tc_nat' ), X ) ) ) ],
% 1.16/1.53 [ hBOOL( hAPP( 'c_HOL_Oord__class_Oless'( 'v_m', 'tc_nat' ), 'v_n' ) ) ]
% 1.16/1.53 ,
% 1.16/1.53 [ 'class_OrderedGroup_Ocomm__monoid__add'( 't_a' ) ],
% 1.16/1.53 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 't_a' ), hAPP( 'v_f',
% 1.16/1.53 'v_m' ) ), 'c_Finite__Set_Osetsum'( 'v_g',
% 1.16/1.53 'c_SetInterval_Oord__class_OgreaterThanLessThan'( 'v_m', 'v_n', 'tc_nat'
% 1.16/1.53 ), 'tc_nat', 't_a' ) ), 'c_Finite__Set_Osetsum'( 'v_f',
% 1.16/1.53 'c_SetInterval_Oord__class_OatLeastLessThan'( 'v_m', 'v_n', 'tc_nat' ),
% 1.16/1.53 'tc_nat', 't_a' ) ) ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 1.16/1.53 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 1.16/1.53 'class_OrderedGroup_Osemigroup__add'( X ) ],
% 1.16/1.53 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 1.16/1.53 'class_OrderedGroup_Omonoid__add'( X ) ],
% 1.16/1.53 [ 'class_Lattices_Oupper__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 1.16/1.53 'class_Lattices_Olattice'( Y ) ) ],
% 1.16/1.53 [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 1.16/1.53 'class_Lattices_Olattice'( Y ) ) ],
% 1.16/1.53 [ 'class_Lattices_Odistrib__lattice'( 'tc_fun'( X, Y ) ), ~(
% 1.16/1.53 'class_Lattices_Odistrib__lattice'( Y ) ) ],
% 1.16/1.53 [ 'class_Lattices_Obounded__lattice'( 'tc_fun'( X, Y ) ), ~(
% 1.16/1.53 'class_Lattices_Obounded__lattice'( Y ) ) ],
% 1.16/1.53 [ 'class_Lattices_Oboolean__algebra'( 'tc_fun'( X, Y ) ), ~(
% 1.16/1.53 'class_Lattices_Oboolean__algebra'( Y ) ) ],
% 1.16/1.53 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_fun'( X, Y ) ), ~(
% 1.16/1.53 'class_Finite__Set_Ofinite_Ofinite'( Y ) ), ~(
% 1.16/1.53 'class_Finite__Set_Ofinite_Ofinite'( X ) ) ],
% 1.16/1.53 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 1.16/1.53 'class_Orderings_Opreorder'( Y ) ) ],
% 1.16/1.53 [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~(
% 1.16/1.53 'class_Lattices_Olattice'( Y ) ) ],
% 1.16/1.53 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 1.16/1.53 'class_Orderings_Oorder'( Y ) ) ],
% 1.16/1.53 [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Obot'(
% 1.16/1.53 Y ) ) ],
% 1.16/1.53 [ 'class_HOL_Oord'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Oord'( Y ) ) ]
% 1.16/1.53 ,
% 1.16/1.53 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 1.16/1.53 ],
% 1.16/1.53 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 1.16/1.53 ) ],
% 1.16/1.53 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 1.16/1.53 ],
% 1.16/1.53 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_nat' ) ]
% 1.16/1.53 ,
% 1.16/1.53 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 1.16/1.53 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 1.16/1.53 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 1.16/1.53 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 1.16/1.53 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 1.16/1.53 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' ) ],
% 1.16/1.53 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_nat' ) ],
% 1.16/1.53 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 1.16/1.53 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 1.16/1.53 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 1.16/1.53 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 1.16/1.53 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 1.16/1.53 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 1.16/1.53 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 1.16/1.53 [ 'class_OrderedGroup_Osemigroup__mult'( 'tc_nat' ) ],
% 1.16/1.53 [ 'class_OrderedGroup_Osemigroup__add'( 'tc_nat' ) ],
% 1.16/1.53 [ 'class_Lattices_Oupper__semilattice'( 'tc_nat' ) ],
% 1.16/1.53 [ 'class_Lattices_Olower__semilattice'( 'tc_nat' ) ],
% 1.16/1.53 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ],
% 1.16/1.53 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_nat' ) ],
% 1.16/1.53 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 1.16/1.53 [ 'class_Ring__and__Field_Omult__mono'( 'tc_nat' ) ],
% 1.16/1.53 [ 'class_Lattices_Odistrib__lattice'( 'tc_nat' ) ],
% 1.16/1.53 [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 1.16/1.53 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 1.16/1.53 [ 'class_Divides_Osemiring__div'( 'tc_nat' ) ],
% 1.16/1.53 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 1.16/1.53 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 1.16/1.53 [ 'class_Lattices_Olattice'( 'tc_nat' ) ],
% 1.16/1.53 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 1.16/1.53 [ 'class_Orderings_Obot'( 'tc_nat' ) ],
% 1.16/1.53 [ 'class_HOL_Oord'( 'tc_nat' ) ],
% 1.16/1.53 [ 'class_Lattices_Oupper__semilattice'( 'tc_bool' ) ],
% 1.16/1.53 [ 'class_Lattices_Olower__semilattice'( 'tc_bool' ) ],
% 1.16/1.53 [ 'class_Lattices_Odistrib__lattice'( 'tc_bool' ) ],
% 1.16/1.53 [ 'class_Lattices_Obounded__lattice'( 'tc_bool' ) ],
% 1.16/1.53 [ 'class_Lattices_Oboolean__algebra'( 'tc_bool' ) ],
% 1.16/1.53 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_bool' ) ],
% 1.16/1.53 [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 1.16/1.53 [ 'class_Lattices_Olattice'( 'tc_bool' ) ],
% 1.16/1.53 [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 1.16/1.53 [ 'class_Orderings_Obot'( 'tc_bool' ) ],
% 1.16/1.53 [ 'class_HOL_Oord'( 'tc_bool' ) ],
% 1.16/1.53 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 1.16/1.53 'tc_RealDef_Oreal' ) ],
% 1.16/1.53 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 1.16/1.53 'tc_RealDef_Oreal' ) ],
% 1.16/1.53 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 1.16/1.53 'tc_RealDef_Oreal' ) ],
% 1.16/1.53 [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 1.16/1.53 'tc_RealDef_Oreal' ) ],
% 1.16/1.53 [ 'class_OrderedGroup_Olordered__ab__group__add__meet'(
% 1.16/1.53 'tc_RealDef_Oreal' ) ],
% 1.16/1.53 [ 'class_OrderedGroup_Olordered__ab__group__add__join'(
% 1.16/1.53 'tc_RealDef_Oreal' ) ],
% 1.16/1.53 [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 1.16/1.53 'tc_RealDef_Oreal' ) ],
% 1.16/1.53 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_RealDef_Oreal'
% 1.16/1.53 ) ],
% 1.16/1.53 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_RealDef_Oreal'
% 1.16/1.53 ) ],
% 1.16/1.53 [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_RealDef_Oreal'
% 1.16/1.53 ) ],
% 1.16/1.53 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_RealDef_Oreal' )
% 1.16/1.53 ],
% 1.16/1.53 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_RealDef_Oreal' )
% 1.16/1.53 ],
% 1.16/1.53 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 1.16/1.53 ,
% 1.16/1.53 [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 1.16/1.53 ,
% 1.16/1.53 [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 1.16/1.53 ,
% 1.16/1.53 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_RealDef_Oreal' ) ]
% 1.16/1.53 ,
% 1.16/1.53 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_RealDef_Oreal' ) ]
% 1.16/1.53 ,
% 1.16/1.53 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_RealDef_Oreal' ) ]
% 1.16/1.53 ,
% 1.16/1.53 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_RealDef_Oreal' ) ]
% 1.16/1.53 ,
% 1.16/1.53 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_RealDef_Oreal' ) ]
% 1.16/1.53 ,
% 1.16/1.53 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_RealDef_Oreal' ) ]
% 1.16/1.53 ,
% 1.16/1.53 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_RealDef_Oreal' ) ]
% 1.16/1.53 ,
% 1.16/1.53 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_RealDef_Oreal' ) ],
% 1.16/1.53 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_RealDef_Oreal' ) ],
% 1.16/1.53 [ 'class_RealVector_Oreal__normed__vector'( 'tc_RealDef_Oreal' ) ],
% 1.16/1.53 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_RealDef_Oreal' ) ],
% 1.16/1.53 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_RealDef_Oreal' ) ],
% 1.16/1.53 [ 'class_Ring__and__Field_Oordered__field'( 'tc_RealDef_Oreal' ) ],
% 1.16/1.53 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_RealDef_Oreal' ) ],
% 1.16/1.53 [ 'class_RealVector_Oreal__normed__field'( 'tc_RealDef_Oreal' ) ],
% 1.16/1.53 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_RealDef_Oreal' ) ],
% 1.16/1.53 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_RealDef_Oreal' ) ],
% 1.16/1.53 [ 'class_OrderedGroup_Osemigroup__mult'( 'tc_RealDef_Oreal' ) ],
% 1.16/1.53 [ 'class_OrderedGroup_Osemigroup__add'( 'tc_RealDef_Oreal' ) ],
% 1.16/1.53 [ 'class_Lattices_Oupper__semilattice'( 'tc_RealDef_Oreal' ) ],
% 1.16/1.53 [ 'class_Lattices_Olower__semilattice'( 'tc_RealDef_Oreal' ) ],
% 1.16/1.53 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_RealDef_Oreal' ) ],
% 1.16/1.53 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_RealDef_Oreal' ) ],
% 1.16/1.53 [ 'class_OrderedGroup_Oab__group__add'( 'tc_RealDef_Oreal' ) ],
% 1.16/1.53 [ 'class_Ring__and__Field_Omult__zero'( 'tc_RealDef_Oreal' ) ],
% 1.16/1.53 [ 'class_Ring__and__Field_Omult__mono'( 'tc_RealDef_Oreal' ) ],
% 1.16/1.53 [ 'class_Lattices_Odistrib__lattice'( 'tc_RealDef_Oreal' ) ],
% 1.16/1.53 [ 'class_Ring__and__Field_Osemiring'( 'tc_RealDef_Oreal' ) ],
% 1.16/1.53 [ 'class_RealVector_Oreal__algebra'( 'tc_RealDef_Oreal' ) ],
% 1.16/1.53 [ 'class_OrderedGroup_Omonoid__add'( 'tc_RealDef_Oreal' ) ],
% 1.16/1.53 [ 'class_RealVector_Oreal__vector'( 'tc_RealDef_Oreal' ) ],
% 1.16/1.53 [ 'class_OrderedGroup_Ogroup__add'( 'tc_RealDef_Oreal' ) ],
% 1.16/1.53 [ 'class_RealVector_Oreal__field'( 'tc_RealDef_Oreal' ) ],
% 1.16/1.53 [ 'class_Ring__and__Field_Ofield'( 'tc_RealDef_Oreal' ) ],
% 1.16/1.53 [ 'class_Ring__and__Field_Oring'( 'tc_RealDef_Oreal' ) ],
% 1.16/1.53 [ 'class_Ring__and__Field_Oidom'( 'tc_RealDef_Oreal' ) ],
% 1.16/1.53 [ 'class_Orderings_Opreorder'( 'tc_RealDef_Oreal' ) ],
% 1.16/1.53 [ 'class_Orderings_Olinorder'( 'tc_RealDef_Oreal' ) ],
% 1.16/1.53 [ 'class_Lattices_Olattice'( 'tc_RealDef_Oreal' ) ],
% 1.16/1.53 [ 'class_Orderings_Oorder'( 'tc_RealDef_Oreal' ) ],
% 1.16/1.53 [ 'class_Int_Onumber__ring'( 'tc_RealDef_Oreal' ) ],
% 1.16/1.54 [ 'class_HOL_Oord'( 'tc_RealDef_Oreal' ) ],
% 1.16/1.54 [ 'c_fequal'( X, X, Y ) ],
% 1.16/1.54 [ =( X, Y ), ~( 'c_fequal'( X, Y, Z ) ) ]
% 1.16/1.54 ] .
% 1.16/1.54
% 1.16/1.54
% 1.16/1.54 percentage equality = 0.225764, percentage horn = 0.878391
% 1.16/1.54 This is a problem with some equality
% 1.16/1.54
% 1.16/1.54
% 1.16/1.54
% 1.16/1.54 Options Used:
% 1.16/1.54
% 1.16/1.54 useres = 1
% 1.16/1.54 useparamod = 1
% 1.16/1.54 useeqrefl = 1
% 1.16/1.54 useeqfact = 1
% 1.16/1.54 usefactor = 1
% 1.16/1.54 usesimpsplitting = 0
% 1.16/1.54 usesimpdemod = 5
% 1.16/1.54 usesimpres = 3
% 1.16/1.54
% 1.16/1.54 resimpinuse = 1000
% 1.16/1.54 resimpclauses = 20000
% 1.16/1.54 substype = eqrewr
% 1.16/1.54 backwardsubs = 1
% 1.16/1.54 selectoldest = 5
% 1.16/1.54
% 1.16/1.54 litorderings [0] = split
% 1.16/1.54 litorderings [1] = extend the termordering, first sorting on arguments
% 1.16/1.54
% 1.16/1.54 termordering = kbo
% 1.16/1.54
% 1.16/1.54 litapriori = 0
% 1.16/1.54 termapriori = 1
% 1.16/1.54 litaposteriori = 0
% 1.16/1.54 termaposteriori = 0
% 1.16/1.54 demodaposteriori = 0
% 1.16/1.54 ordereqreflfact = 0
% 1.16/1.54
% 1.16/1.54 litselect = negord
% 1.16/1.54
% 1.16/1.54 maxweight = 15
% 1.16/1.54 maxdepth = 30000
% 1.16/1.54 maxlength = 115
% 1.16/1.54 maxnrvars = 195
% 1.16/1.54 excuselevel = 1
% 1.16/1.54 increasemaxweight = 1
% 1.16/1.54
% 1.16/1.54 maxselected = 10000000
% 1.16/1.54 maxnrclauses = 10000000
% 1.16/1.54
% 1.16/1.54 showgenerated = 0
% 1.16/1.54 showkept = 0
% 1.16/1.54 showselected = 0
% 1.16/1.54 showdeleted = 0
% 1.16/1.54 showresimp = 1
% 1.16/1.54 showstatus = 2000
% 1.16/1.54
% 1.16/1.54 prologoutput = 1
% 1.16/1.54 nrgoals = 5000000
% 1.16/1.54 totalproof = 1
% 1.16/1.54
% 1.16/1.54 Symbols occurring in the translation:
% 1.16/1.54
% 1.16/1.54 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.16/1.54 . [1, 2] (w:1, o:163, a:1, s:1, b:0),
% 1.16/1.54 ! [4, 1] (w:0, o:88, a:1, s:1, b:0),
% 1.16/1.54 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.16/1.54 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.16/1.54 'class_OrderedGroup_Oab__semigroup__idem__mult' [40, 1] (w:1, o:93
% 1.16/1.54 , a:1, s:1, b:0),
% 1.16/1.54 'c_HOL_Otimes__class_Otimes' [42, 2] (w:1, o:188, a:1, s:1, b:0),
% 1.16/1.54 hAPP [44, 2] (w:1, o:189, a:1, s:1, b:0),
% 1.16/1.54 'class_OrderedGroup_Oab__group__add' [46, 1] (w:1, o:94, a:1, s:1, b:
% 1.16/1.54 0),
% 1.16/1.54 'c_OrderedGroup_Opordered__ab__group__add' [53, 7] (w:1, o:218, a:1
% 1.16/1.54 , s:1, b:0),
% 1.16/1.54 'c_HOL_Oplus__class_Oplus' [55, 1] (w:1, o:95, a:1, s:1, b:0),
% 1.16/1.54 'c_HOL_Ominus__class_Ominus' [56, 1] (w:1, o:96, a:1, s:1, b:0),
% 1.16/1.54 'class_OrderedGroup_Olordered__ab__group__add' [59, 1] (w:1, o:97, a:
% 1.16/1.54 1, s:1, b:0),
% 1.16/1.54 'c_lessequals' [60, 2] (w:1, o:190, a:1, s:1, b:0),
% 1.16/1.54 'c_HOL_Ouminus__class_Ouminus' [61, 1] (w:1, o:98, a:1, s:1, b:0),
% 1.16/1.54 hBOOL [62, 1] (w:1, o:99, a:1, s:1, b:0),
% 1.16/1.54 'c_HOL_Ozero__class_Ozero' [63, 1] (w:1, o:100, a:1, s:1, b:0),
% 1.16/1.54 'class_Ring__and__Field_Oring' [64, 1] (w:1, o:101, a:1, s:1, b:0),
% 1.16/1.54 'class_Ring__and__Field_Ofield' [65, 1] (w:1, o:102, a:1, s:1, b:0),
% 1.16/1.54
% 1.16/1.54 'class_Ring__and__Field_Odivision__by__zero' [66, 1] (w:1, o:105, a:1
% 1.16/1.54 , s:1, b:0),
% 1.16/1.54 'c_HOL_Oinverse__class_Odivide' [67, 3] (w:1, o:199, a:1, s:1, b:0),
% 1.16/1.54
% 1.16/1.54 'class_RealVector_Oreal__normed__vector' [70, 1] (w:1, o:106, a:1, s:
% 1.16/1.54 1, b:0),
% 1.16/1.54 'c_RealVector_Obounded__bilinear' [73, 4] (w:1, o:208, a:1, s:1, b:0)
% 1.16/1.54 ,
% 1.16/1.54 'tc_nat' [75, 0] (w:1, o:49, a:1, s:1, b:0),
% 1.16/1.54 'c_HOL_Oord__class_Oless' [76, 2] (w:1, o:191, a:1, s:1, b:0),
% 1.16/1.54 'c_Suc' [77, 0] (w:1, o:50, a:1, s:1, b:0),
% 1.16/1.54 'c_SetInterval_Oord__class_OlessThan' [81, 2] (w:1, o:193, a:1, s:1
% 1.16/1.54 , b:0),
% 1.16/1.54 'c_SetInterval_Oord__class_OatMost' [82, 2] (w:1, o:194, a:1, s:1, b:
% 1.16/1.54 0),
% 1.16/1.54 'class_RealVector_Oreal__vector' [83, 1] (w:1, o:107, a:1, s:1, b:0)
% 1.16/1.54 ,
% 1.16/1.54 'c_RealVector_OscaleR__class_OscaleR' [84, 2] (w:1, o:192, a:1, s:1
% 1.16/1.54 , b:0),
% 1.16/1.54 'class_Lattices_Olower__semilattice' [86, 1] (w:1, o:108, a:1, s:1
% 1.16/1.54 , b:0),
% 1.16/1.54 'c_Lattices_Olower__semilattice__class_Oinf' [87, 3] (w:1, o:200, a:1
% 1.16/1.54 , s:1, b:0),
% 1.16/1.54 'class_Lattices_Olattice' [88, 1] (w:1, o:109, a:1, s:1, b:0),
% 1.16/1.54 'c_Lattices_Oupper__semilattice__class_Osup' [89, 3] (w:1, o:201, a:1
% 1.16/1.54 , s:1, b:0),
% 1.16/1.54 'class_Ring__and__Field_Oordered__idom' [90, 1] (w:1, o:112, a:1, s:1
% 1.16/1.54 , b:0),
% 1.16/1.54 'class_Orderings_Olinorder' [91, 1] (w:1, o:113, a:1, s:1, b:0),
% 1.16/1.54 'class_Orderings_Oorder' [92, 1] (w:1, o:114, a:1, s:1, b:0),
% 1.16/1.54 'v_n' [95, 0] (w:1, o:54, a:1, s:1, b:0),
% 1.16/1.54 'class_Lattices_Oboolean__algebra' [96, 1] (w:1, o:115, a:1, s:1, b:0
% 3.69/4.04 ),
% 3.69/4.04 'class_OrderedGroup_Ogroup__add' [97, 1] (w:1, o:116, a:1, s:1, b:0)
% 3.69/4.04 ,
% 3.69/4.04 'c_SetInterval_Oord__class_OatLeastLessThan' [98, 3] (w:1, o:204, a:1
% 3.69/4.04 , s:1, b:0),
% 3.69/4.04 'tc_bool' [99, 0] (w:1, o:55, a:1, s:1, b:0),
% 3.69/4.04 'tc_fun' [100, 2] (w:1, o:195, a:1, s:1, b:0),
% 3.69/4.04 'c_Orderings_Obot__class_Obot' [101, 1] (w:1, o:117, a:1, s:1, b:0),
% 3.69/4.04
% 3.69/4.04 'c_Ring__and__Field_Ofield' [106, 9] (w:1, o:220, a:1, s:1, b:0),
% 3.69/4.04 'class_OrderedGroup_Opordered__ab__group__add' [107, 1] (w:1, o:119
% 3.69/4.04 , a:1, s:1, b:0),
% 3.69/4.04 'class_OrderedGroup_Oab__semigroup__mult' [108, 1] (w:1, o:120, a:1
% 3.69/4.04 , s:1, b:0),
% 3.69/4.04 'c_Fun_Ofcomp' [111, 5] (w:1, o:210, a:1, s:1, b:0),
% 3.69/4.04 'class_Ring__and__Field_Oordered__ring__strict' [112, 1] (w:1, o:121
% 3.69/4.04 , a:1, s:1, b:0),
% 3.69/4.04 'class_Ring__and__Field_Oordered__semiring__strict' [113, 1] (w:1, o:
% 3.69/4.04 122, a:1, s:1, b:0),
% 3.69/4.04 'c_Ring__and__Field_Opordered__ring' [114, 8] (w:1, o:219, a:1, s:1
% 3.69/4.04 , b:0),
% 3.69/4.04 'class_Lattices_Odistrib__lattice' [115, 1] (w:1, o:123, a:1, s:1, b:
% 3.69/4.04 0),
% 3.69/4.04 'class_OrderedGroup_Ocomm__monoid__add' [116, 1] (w:1, o:124, a:1, s:
% 3.69/4.04 1, b:0),
% 3.69/4.04 'c_Finite__Set_Osetsum' [117, 4] (w:1, o:209, a:1, s:1, b:0),
% 3.69/4.04 'class_Ring__and__Field_Oordered__semidom' [118, 1] (w:1, o:125, a:1
% 3.69/4.04 , s:1, b:0),
% 3.69/4.04 'class_Ring__and__Field_Omult__mono1' [119, 1] (w:1, o:126, a:1, s:1
% 3.69/4.04 , b:0),
% 3.69/4.04 'class_Ring__and__Field_Omult__mono' [120, 1] (w:1, o:127, a:1, s:1
% 3.69/4.04 , b:0),
% 3.69/4.04 'class_Ring__and__Field_Opordered__ring' [121, 1] (w:1, o:131, a:1
% 3.69/4.04 , s:1, b:0),
% 3.69/4.04 'class_RealVector_Oreal__normed__algebra' [122, 1] (w:1, o:132, a:1
% 3.69/4.04 , s:1, b:0),
% 3.69/4.04 'c_RealVector_Oadditive' [123, 3] (w:1, o:202, a:1, s:1, b:0),
% 3.69/4.04 'class_Ring__and__Field_Oidom' [124, 1] (w:1, o:133, a:1, s:1, b:0),
% 3.69/4.04
% 3.69/4.04 'class_Int_Onumber__ring' [125, 1] (w:1, o:135, a:1, s:1, b:0),
% 3.69/4.04 'class_Ring__and__Field_Oordered__field' [128, 1] (w:1, o:128, a:1
% 3.69/4.04 , s:1, b:0),
% 3.69/4.04 'class_OrderedGroup_Osemigroup__mult' [129, 1] (w:1, o:136, a:1, s:1
% 3.69/4.04 , b:0),
% 3.69/4.04 'c_Ring__and__Field_Oring' [130, 6] (w:1, o:216, a:1, s:1, b:0),
% 3.69/4.04 'class_Ring__and__Field_Osemiring' [131, 1] (w:1, o:138, a:1, s:1, b:
% 3.69/4.04 0),
% 3.69/4.04 'class_Lattices_Oupper__semilattice' [132, 1] (w:1, o:139, a:1, s:1
% 3.69/4.04 , b:0),
% 3.69/4.04 'c_Finite__Set_Ofinite' [133, 2] (w:1, o:196, a:1, s:1, b:0),
% 3.69/4.04 'c_Fun_Ocomp' [137, 5] (w:1, o:211, a:1, s:1, b:0),
% 3.69/4.04 'c_SetInterval_Oord__class_OgreaterThanLessThan' [146, 3] (w:1, o:205
% 3.69/4.04 , a:1, s:1, b:0),
% 3.69/4.04 'class_Ring__and__Field_Ocomm__semiring__1' [147, 1] (w:1, o:103, a:1
% 3.69/4.04 , s:1, b:0),
% 3.69/4.04 'class_OrderedGroup_Opordered__comm__monoid__add' [152, 1] (w:1, o:
% 3.69/4.04 140, a:1, s:1, b:0),
% 3.69/4.04 'class_Lattices_Obounded__lattice' [153, 1] (w:1, o:141, a:1, s:1, b:
% 3.69/4.04 0),
% 3.69/4.04 't_b' [155, 0] (w:1, o:72, a:1, s:1, b:0),
% 3.69/4.04 'v_f' [156, 0] (w:1, o:73, a:1, s:1, b:0),
% 3.69/4.04 'v_g' [157, 0] (w:1, o:74, a:1, s:1, b:0),
% 3.69/4.04 't_a' [158, 0] (w:1, o:71, a:1, s:1, b:0),
% 3.69/4.04 'v_x' [159, 0] (w:1, o:75, a:1, s:1, b:0),
% 3.69/4.04 'class_Ring__and__Field_Opordered__cancel__semiring' [160, 1] (w:1
% 3.69/4.04 , o:142, a:1, s:1, b:0),
% 3.69/4.04 'class_OrderedGroup_Oordered__ab__group__add' [161, 1] (w:1, o:118
% 3.69/4.04 , a:1, s:1, b:0),
% 3.69/4.04 'class_Ring__and__Field_Opordered__semiring' [163, 1] (w:1, o:143, a:
% 3.69/4.04 1, s:1, b:0),
% 3.69/4.04 'class_Divides_Oring__div' [164, 1] (w:1, o:144, a:1, s:1, b:0),
% 3.69/4.04 'c_Divides_Odiv__class_Omod' [165, 3] (w:1, o:206, a:1, s:1, b:0),
% 3.69/4.04 'c_RealVector_Ovector__space' [167, 3] (w:1, o:203, a:1, s:1, b:0),
% 3.69/4.04 'class_Ring__and__Field_Oring__no__zero__divisors' [168, 1] (w:1, o:
% 3.69/4.04 137, a:1, s:1, b:0),
% 3.69/4.04 'class_Ring__and__Field_Ono__zero__divisors' [169, 1] (w:1, o:111, a:
% 3.69/4.04 1, s:1, b:0),
% 3.69/4.04 'class_RealVector_Oreal__normed__field' [171, 1] (w:1, o:145, a:1, s:
% 3.69/4.04 1, b:0),
% 3.69/4.04 'class_Ring__and__Field_Oordered__semiring' [173, 1] (w:1, o:129, a:1
% 3.69/4.04 , s:1, b:0),
% 3.69/4.04 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [174, 1]
% 3.69/4.04 (w:1, o:146, a:1, s:1, b:0),
% 3.69/4.04 'class_Orderings_Obot' [175, 1] (w:1, o:147, a:1, s:1, b:0),
% 3.69/4.04 'class_Divides_Osemiring__div' [176, 1] (w:1, o:148, a:1, s:1, b:0),
% 27.54/27.92
% 27.54/27.92 'c_COMBB' [177, 5] (w:1, o:212, a:1, s:1, b:0),
% 27.54/27.92 'class_Ring__and__Field_Osemiring__0' [178, 1] (w:1, o:149, a:1, s:1
% 27.54/27.92 , b:0),
% 27.54/27.92 'class_RealVector_Oreal__algebra' [179, 1] (w:1, o:150, a:1, s:1, b:0
% 27.54/27.92 ),
% 27.54/27.92 'class_RealVector_Oreal__field' [180, 1] (w:1, o:151, a:1, s:1, b:0)
% 27.54/27.92 ,
% 27.54/27.92 'c_COMBS' [182, 5] (w:1, o:213, a:1, s:1, b:0),
% 27.54/27.92 'class_Orderings_Opreorder' [185, 1] (w:1, o:152, a:1, s:1, b:0),
% 27.54/27.92 'class_Ring__and__Field_Omult__zero' [190, 1] (w:1, o:110, a:1, s:1
% 27.54/27.92 , b:0),
% 27.54/27.92 'c_OrderedGroup_Osemigroup__add' [191, 2] (w:1, o:197, a:1, s:1, b:0)
% 27.54/27.92 ,
% 27.54/27.92 'class_Finite__Set_Ofinite_Ofinite' [192, 1] (w:1, o:153, a:1, s:1
% 27.54/27.92 , b:0),
% 27.54/27.92 'class_Ring__and__Field_Oordered__comm__semiring__strict' [193, 1]
% 27.54/27.92 (w:1, o:130, a:1, s:1, b:0),
% 27.54/27.92 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [194, 1]
% 27.54/27.92 (w:1, o:154, a:1, s:1, b:0),
% 27.54/27.92 'class_OrderedGroup_Oab__semigroup__add' [197, 1] (w:1, o:155, a:1
% 27.54/27.92 , s:1, b:0),
% 27.54/27.92 'class_OrderedGroup_Osemigroup__add' [198, 1] (w:1, o:156, a:1, s:1
% 27.54/27.92 , b:0),
% 27.54/27.92 'class_OrderedGroup_Opordered__ab__semigroup__add' [199, 1] (w:1, o:
% 27.54/27.92 157, a:1, s:1, b:0),
% 27.54/27.92 'class_OrderedGroup_Olordered__ab__group__add__meet' [200, 1] (w:1
% 27.54/27.92 , o:158, a:1, s:1, b:0),
% 27.54/27.92 'class_Ring__and__Field_Ocomm__semiring' [201, 1] (w:1, o:104, a:1
% 27.54/27.92 , s:1, b:0),
% 27.54/27.92 'class_OrderedGroup_Olordered__ab__group__add__join' [202, 1] (w:1
% 27.54/27.92 , o:159, a:1, s:1, b:0),
% 27.54/27.92 'class_OrderedGroup_Ocancel__ab__semigroup__add' [203, 1] (w:1, o:160
% 27.54/27.92 , a:1, s:1, b:0),
% 27.54/27.92 'c_OrderedGroup_Ocancel__ab__semigroup__add__axioms' [204, 2] (w:1
% 27.54/27.92 , o:198, a:1, s:1, b:0),
% 27.54/27.92 'class_OrderedGroup_Omonoid__add' [205, 1] (w:1, o:161, a:1, s:1, b:0
% 27.54/27.92 ),
% 27.54/27.92 'c_ATP__Linkup_Osko__Finite__Set__Xsetsum__cong2__1__1' [206, 5] (w:1
% 27.54/27.92 , o:214, a:1, s:1, b:0),
% 27.54/27.92 'c_ATP__Linkup_Osko__Finite__Set__Xsetsum__cong__1__1' [207, 5] (w:1
% 27.54/27.92 , o:215, a:1, s:1, b:0),
% 27.54/27.92 'class_HOL_Oord' [208, 1] (w:1, o:134, a:1, s:1, b:0),
% 27.54/27.92 'c_List_Osko__SetInterval__Xsetsum__ivl__cong__1__1' [209, 6] (w:1
% 27.54/27.92 , o:217, a:1, s:1, b:0),
% 27.54/27.92 't_c' [211, 0] (w:1, o:81, a:1, s:1, b:0),
% 27.54/27.92 'v_m' [212, 0] (w:1, o:53, a:1, s:1, b:0),
% 27.54/27.92 'class_OrderedGroup_Ocancel__semigroup__add' [213, 1] (w:1, o:162, a:
% 27.54/27.92 1, s:1, b:0),
% 27.54/27.92 'tc_RealDef_Oreal' [217, 0] (w:1, o:85, a:1, s:1, b:0),
% 27.54/27.92 'c_fequal' [218, 3] (w:1, o:207, a:1, s:1, b:0).
% 27.54/27.92
% 27.54/27.92
% 27.54/27.92 Starting Search:
% 27.54/27.92
% 27.54/27.92 Resimplifying inuse:
% 27.54/27.92 Done
% 27.54/27.92
% 27.54/27.92
% 27.54/27.92 Intermediate Status:
% 27.54/27.92 Generated: 4854
% 27.54/27.92 Kept: 2079
% 27.54/27.92 Inuse: 104
% 27.54/27.92 Deleted: 2
% 27.54/27.92 Deletedinuse: 0
% 27.54/27.92
% 27.54/27.92 Resimplifying inuse:
% 27.54/27.92 Done
% 27.54/27.92
% 27.54/27.92 Resimplifying inuse:
% 27.54/27.92 Done
% 27.54/27.92
% 27.54/27.92
% 27.54/27.92 Intermediate Status:
% 27.54/27.92 Generated: 18440
% 27.54/27.92 Kept: 4710
% 27.54/27.92 Inuse: 149
% 27.54/27.92 Deleted: 2
% 27.54/27.92 Deletedinuse: 0
% 27.54/27.92
% 27.54/27.92 Resimplifying inuse:
% 27.54/27.92 Done
% 27.54/27.92
% 27.54/27.92 Resimplifying inuse:
% 27.54/27.92 Done
% 27.54/27.92
% 27.54/27.92
% 27.54/27.92 Intermediate Status:
% 27.54/27.92 Generated: 45851
% 27.54/27.92 Kept: 7219
% 27.54/27.92 Inuse: 159
% 27.54/27.92 Deleted: 2
% 27.54/27.92 Deletedinuse: 0
% 27.54/27.92
% 27.54/27.92 Resimplifying inuse:
% 27.54/27.92 Done
% 27.54/27.92
% 27.54/27.92 Resimplifying inuse:
% 27.54/27.92 Done
% 27.54/27.92
% 27.54/27.92
% 27.54/27.92 Intermediate Status:
% 27.54/27.92 Generated: 92384
% 27.54/27.92 Kept: 9994
% 27.54/27.92 Inuse: 169
% 27.54/27.92 Deleted: 2
% 27.54/27.92 Deletedinuse: 0
% 27.54/27.92
% 27.54/27.92 Resimplifying inuse:
% 27.54/27.92 Done
% 27.54/27.92
% 27.54/27.92 Resimplifying inuse:
% 27.54/27.92 Done
% 27.54/27.92
% 27.54/27.92
% 27.54/27.92 Intermediate Status:
% 27.54/27.92 Generated: 135207
% 27.54/27.92 Kept: 12353
% 27.54/27.92 Inuse: 184
% 27.54/27.92 Deleted: 2
% 27.54/27.92 Deletedinuse: 0
% 27.54/27.92
% 27.54/27.92 Resimplifying inuse:
% 27.54/27.92 Done
% 27.54/27.92
% 27.54/27.92 Resimplifying inuse:
% 27.54/27.92 Done
% 27.54/27.92
% 27.54/27.92
% 27.54/27.92 Intermediate Status:
% 27.54/27.92 Generated: 147505
% 27.54/27.92 Kept: 14608
% 27.54/27.92 Inuse: 239
% 27.54/27.92 Deleted: 2
% 27.54/27.92 Deletedinuse: 0
% 27.54/27.92
% 27.54/27.92 Resimplifying inuse:
% 27.54/27.92 Done
% 27.54/27.92
% 27.54/27.92 Resimplifying inuse:
% 27.54/27.92 Done
% 27.54/27.92
% 27.54/27.92
% 27.54/27.92 Intermediate Status:
% 27.54/27.92 Generated: 154891
% 27.54/27.92 Kept: 16814
% 27.54/27.92 Inuse: 254
% 27.54/27.92 Deleted: 2
% 27.54/27.92 Deletedinuse: 0
% 27.54/27.92
% 27.54/27.92 Resimplifying inuse:
% 27.54/27.92 Done
% 27.54/27.92
% 27.54/27.92 Resimplifying inuse:
% 27.54/27.92 Done
% 27.54/27.92
% 27.54/27.92
% 27.54/27.92 Intermediate Status:
% 27.54/27.92 Generated: 165858
% 27.54/27.92 Kept: 18936
% 27.54/27.92 Inuse: 279
% 27.54/27.92 Deleted: 2
% 27.54/27.92 Deletedinuse: 0
% 27.54/27.92
% 27.54/27.92 Resimplifying inuse:
% 27.54/27.92 Done
% 27.54/27.92
% 27.54/27.92 Resimplifying inuse:
% 27.54/27.92 Done
% 27.54/27.92
% 27.54/27.92 Resimplifying clauses:
% 27.54/27.92 Done
% 27.54/27.92
% 27.54/27.92
% 27.54/27.92 Intermediate Status:
% 27.54/27.92 Generated: 176329
% 27.54/27.92 Kept: 21312
% 27.54/27.92 Inuse: 319
% 27.54/27.92 Deleted: 96
% 27.54/27.92 Deletedinuse: 0
% 27.54/27.92
% 27.54/27.92 Resimplifying inuse:
% 27.54/27.92 Done
% 27.54/27.92
% 27.54/27.92 Resimplifying inuse:
% 27.54/27.92 Done
% 27.54/27.92
% 27.54/27.92
% 27.54/27.92 Intermediate Status:
% 27.54/27.92 Generated: 200209
% 82.17/82.53 Kept: 24155
% 82.17/82.53 Inuse: 344
% 82.17/82.53 Deleted: 96
% 82.17/82.53 Deletedinuse: 0
% 82.17/82.53
% 82.17/82.53 Resimplifying inuse:
% 82.17/82.53 Done
% 82.17/82.53
% 82.17/82.53 Resimplifying inuse:
% 82.17/82.53 Done
% 82.17/82.53
% 82.17/82.53
% 82.17/82.53 Intermediate Status:
% 82.17/82.53 Generated: 213972
% 82.17/82.53 Kept: 26516
% 82.17/82.53 Inuse: 369
% 82.17/82.53 Deleted: 96
% 82.17/82.53 Deletedinuse: 0
% 82.17/82.53
% 82.17/82.53 Resimplifying inuse:
% 82.17/82.53 Done
% 82.17/82.53
% 82.17/82.53 Resimplifying inuse:
% 82.17/82.53 Done
% 82.17/82.53
% 82.17/82.53
% 82.17/82.53 Intermediate Status:
% 82.17/82.53 Generated: 224469
% 82.17/82.53 Kept: 28720
% 82.17/82.53 Inuse: 404
% 82.17/82.53 Deleted: 96
% 82.17/82.53 Deletedinuse: 0
% 82.17/82.53
% 82.17/82.53 Resimplifying inuse:
% 82.17/82.53 Done
% 82.17/82.53
% 82.17/82.53
% 82.17/82.53 Intermediate Status:
% 82.17/82.53 Generated: 236801
% 82.17/82.53 Kept: 30874
% 82.17/82.53 Inuse: 444
% 82.17/82.53 Deleted: 96
% 82.17/82.53 Deletedinuse: 0
% 82.17/82.53
% 82.17/82.53 Resimplifying inuse:
% 82.17/82.53 Done
% 82.17/82.53
% 82.17/82.53 Resimplifying inuse:
% 82.17/82.53 Done
% 82.17/82.53
% 82.17/82.53
% 82.17/82.53 Intermediate Status:
% 82.17/82.53 Generated: 247993
% 82.17/82.53 Kept: 33337
% 82.17/82.53 Inuse: 479
% 82.17/82.53 Deleted: 96
% 82.17/82.53 Deletedinuse: 0
% 82.17/82.53
% 82.17/82.53 Resimplifying inuse:
% 82.17/82.53 Done
% 82.17/82.53
% 82.17/82.53 Resimplifying inuse:
% 82.17/82.53 Done
% 82.17/82.53
% 82.17/82.53
% 82.17/82.53 Intermediate Status:
% 82.17/82.53 Generated: 257787
% 82.17/82.53 Kept: 35647
% 82.17/82.53 Inuse: 504
% 82.17/82.53 Deleted: 96
% 82.17/82.53 Deletedinuse: 0
% 82.17/82.53
% 82.17/82.53 Resimplifying inuse:
% 82.17/82.53 Done
% 82.17/82.53
% 82.17/82.53 Resimplifying inuse:
% 82.17/82.53 Done
% 82.17/82.53
% 82.17/82.53
% 82.17/82.53 Intermediate Status:
% 82.17/82.53 Generated: 266290
% 82.17/82.53 Kept: 37816
% 82.17/82.53 Inuse: 529
% 82.17/82.53 Deleted: 96
% 82.17/82.53 Deletedinuse: 0
% 82.17/82.53
% 82.17/82.53 Resimplifying inuse:
% 82.17/82.53 Done
% 82.17/82.53
% 82.17/82.53
% 82.17/82.53 Intermediate Status:
% 82.17/82.53 Generated: 281617
% 82.17/82.53 Kept: 41564
% 82.17/82.53 Inuse: 539
% 82.17/82.53 Deleted: 96
% 82.17/82.53 Deletedinuse: 0
% 82.17/82.53
% 82.17/82.53 Resimplifying inuse:
% 82.17/82.53 Done
% 82.17/82.53
% 82.17/82.53 Resimplifying clauses:
% 82.17/82.53 Done
% 82.17/82.53
% 82.17/82.53 Resimplifying inuse:
% 82.17/82.53 Done
% 82.17/82.53
% 82.17/82.53
% 82.17/82.53 Intermediate Status:
% 82.17/82.53 Generated: 291088
% 82.17/82.53 Kept: 43922
% 82.17/82.53 Inuse: 549
% 82.17/82.53 Deleted: 103
% 82.17/82.53 Deletedinuse: 0
% 82.17/82.53
% 82.17/82.53 Resimplifying inuse:
% 82.17/82.53 Done
% 82.17/82.53
% 82.17/82.53 Resimplifying inuse:
% 82.17/82.53 Done
% 82.17/82.53
% 82.17/82.53
% 82.17/82.53 Intermediate Status:
% 82.17/82.53 Generated: 306131
% 82.17/82.53 Kept: 46359
% 82.17/82.53 Inuse: 574
% 82.17/82.53 Deleted: 103
% 82.17/82.53 Deletedinuse: 0
% 82.17/82.53
% 82.17/82.53 Resimplifying inuse:
% 82.17/82.53 Done
% 82.17/82.53
% 82.17/82.53 Resimplifying inuse:
% 82.17/82.53 Done
% 82.17/82.53
% 82.17/82.53
% 82.17/82.53 Intermediate Status:
% 82.17/82.53 Generated: 321093
% 82.17/82.53 Kept: 48547
% 82.17/82.53 Inuse: 594
% 82.17/82.53 Deleted: 103
% 82.17/82.53 Deletedinuse: 0
% 82.17/82.53
% 82.17/82.53
% 82.17/82.53 Intermediate Status:
% 82.17/82.53 Generated: 413778
% 82.17/82.53 Kept: 53612
% 82.17/82.53 Inuse: 599
% 82.17/82.53 Deleted: 103
% 82.17/82.53 Deletedinuse: 0
% 82.17/82.53
% 82.17/82.53 Resimplifying inuse:
% 82.17/82.53 Done
% 82.17/82.53
% 82.17/82.53
% 82.17/82.53 Intermediate Status:
% 82.17/82.53 Generated: 473552
% 82.17/82.53 Kept: 57989
% 82.17/82.53 Inuse: 604
% 82.17/82.53 Deleted: 103
% 82.17/82.53 Deletedinuse: 0
% 82.17/82.53
% 82.17/82.53 Resimplifying inuse:
% 82.17/82.53 Done
% 82.17/82.53
% 82.17/82.53
% 82.17/82.53 Intermediate Status:
% 82.17/82.53 Generated: 586435
% 82.17/82.53 Kept: 63361
% 82.17/82.53 Inuse: 609
% 82.17/82.53 Deleted: 103
% 82.17/82.53 Deletedinuse: 0
% 82.17/82.53
% 82.17/82.53 Resimplifying inuse:
% 82.17/82.53 Done
% 82.17/82.53
% 82.17/82.53 Resimplifying clauses:
% 82.17/82.53 Done
% 82.17/82.53
% 82.17/82.53 Resimplifying inuse:
% 82.17/82.53 Done
% 82.17/82.53
% 82.17/82.53
% 82.17/82.53 Intermediate Status:
% 82.17/82.53 Generated: 608824
% 82.17/82.53 Kept: 65565
% 82.17/82.53 Inuse: 634
% 82.17/82.53 Deleted: 108
% 82.17/82.53 Deletedinuse: 0
% 82.17/82.53
% 82.17/82.53 Resimplifying inuse:
% 82.17/82.53 Done
% 82.17/82.53
% 82.17/82.53 Resimplifying inuse:
% 82.17/82.53 Done
% 82.17/82.53
% 82.17/82.53
% 82.17/82.53 Intermediate Status:
% 82.17/82.53 Generated: 634243
% 82.17/82.53 Kept: 68089
% 82.17/82.53 Inuse: 654
% 82.17/82.53 Deleted: 108
% 82.17/82.53 Deletedinuse: 0
% 82.17/82.53
% 82.17/82.53 Resimplifying inuse:
% 82.17/82.53 Done
% 82.17/82.53
% 82.17/82.53 Resimplifying inuse:
% 82.17/82.53 Done
% 82.17/82.53
% 82.17/82.53
% 82.17/82.53 Intermediate Status:
% 82.17/82.53 Generated: 655768
% 82.17/82.53 Kept: 70473
% 82.17/82.53 Inuse: 669
% 82.17/82.53 Deleted: 108
% 82.17/82.53 Deletedinuse: 0
% 82.17/82.53
% 82.17/82.53 Resimplifying inuse:
% 82.17/82.53 Done
% 82.17/82.53
% 82.17/82.53 Resimplifying inuse:
% 82.17/82.53 Done
% 82.17/82.53
% 82.17/82.53
% 82.17/82.53 Intermediate Status:
% 82.17/82.53 Generated: 682143
% 82.17/82.53 Kept: 73563
% 82.17/82.53 Inuse: 684
% 82.17/82.53 Deleted: 108
% 82.17/82.53 Deletedinuse: 0
% 82.17/82.53
% 82.17/82.53 Resimplifying inuse:
% 82.17/82.53 Done
% 82.17/82.53
% 82.17/82.53 Resimplifying inuse:
% 82.17/82.53 Done
% 82.17/82.53
% 82.17/82.53
% 82.17/82.53 Intermediate Status:
% 82.17/82.53 Generated: 702633
% 82.17/82.53 Kept: 76221
% 82.17/82.53 Inuse: 699
% 82.17/82.53 Deleted: 108
% 82.17/82.53 Deletedinuse: 0
% 82.17/82.53
% 82.17/82.53 Resimplifying inuse:
% 82.17/82.53 Done
% 82.17/82.53
% 82.17/82.53 Resimplifying inuse:
% 82.17/82.53 Done
% 82.17/82.53
% 82.17/82.53
% 82.17/82.53 Intermediate Status:
% 82.17/82.53 Generated: 717220
% 82.17/82.53 Kept: 78503
% 82.17/82.53 Inuse: 719
% 82.17/82.53 Deleted: 108
% 82.17/82.53 Deletedinuse: 0
% 82.17/82.53
% 82.17/82.53 Resimplifying inuse:
% 82.17/82.53 Done
% 82.17/82.53
% 82.17/82.53 Resimplifying inuse:
% 82.17/82.53 Done
% 82.17/82.53
% 82.17/82.53
% 82.17/82.53 Intermediate Status:
% 82.17/82.53 Generated: 725141
% 82.17/82.53 Kept: 81009
% 82.17/82.53 Inuse: 734
% 82.17/82.53 Deleted: 108
% 82.17/82.53 Deletedinuse: 0
% 82.17/82.53
% 82.17/82.53 Resimplifying inuse:
% 82.17/82.53 Done
% 82.17/82.53
% 82.17/82.53 Resimplifying inuse:
% 82.17/82.53 Done
% 82.17/82.53
% 82.17/82.53
% 82.17/82.53 Intermediate Status:
% 82.17/82.53 Generated: 739148
% 82.17/82.53 Kept: 84342
% 82.17/82.53 Inuse: 744
% 82.17/82.53 Deleted: 108
% 82.17/82.53 Deletedinuse: 0
% 82.17/82.53
% 82.17/82.53 Resimplifying inuse:
% 82.17/82.53 Done
% 82.17/82.53
% 82.17/82.53 Resimplifying clauses:
% 82.17/82.53 Done
% 82.17/82.53
% 82.17/82.53 Resimplifying inuse:
% 82.17/82.53 Done
% 82.17/82.53
% 82.17/82.53
% 82.17/82.53 Intermediate Status:
% 82.17/82.53 Generated: 748715
% 82.17/82.53 Kept: 86696
% 82.17/82.53 Inuse: 764
% 82.17/82.53 Deleted: 217
% 82.17/82.53 Deletedinuse: 0
% 82.17/82.53
% 82.17/82.53 Resimplifying inuse:
% 82.17/82.53 Done
% 82.17/82.53
% 82.17/82.53 Resimplifying inuse:
% 82.17/82.53 Done
% 82.17/82.53
% 82.17/82.53
% 82.17/82.53 Intermediate Status:
% 82.17/82.53 Generated: 762290
% 82.17/82.53 Kept: 89072
% 82.17/82.53 Inuse: 789
% 82.17/82.53 Deleted: 217
% 82.17/82.53 Deletedinuse: 0
% 82.17/82.53
% 82.17/82.53 Resimplifying inuse:
% 82.17/82.53 Done
% 82.17/82.53
% 82.17/82.53
% 82.17/82.53 Intermediate Status:
% 82.17/82.53 Generated: 772479
% 82.17/82.53 Kept: 91257
% 82.17/82.53 Inuse: 804
% 82.17/82.53 Deleted: 217
% 82.17/82.53 Deletedinuse: 0
% 82.17/82.53
% 82.17/82.53 Resimplifying inuse:
% 82.17/82.53 Done
% 82.17/82.53
% 82.17/82.53 Resimplifying inuse:
% 154.91/155.33 Done
% 154.91/155.33
% 154.91/155.33
% 154.91/155.33 Intermediate Status:
% 154.91/155.33 Generated: 782419
% 154.91/155.33 Kept: 93555
% 154.91/155.33 Inuse: 819
% 154.91/155.33 Deleted: 217
% 154.91/155.33 Deletedinuse: 0
% 154.91/155.33
% 154.91/155.33 Resimplifying inuse:
% 154.91/155.33 Done
% 154.91/155.33
% 154.91/155.33 Resimplifying inuse:
% 154.91/155.33 Done
% 154.91/155.33
% 154.91/155.33
% 154.91/155.33 Intermediate Status:
% 154.91/155.33 Generated: 791579
% 154.91/155.33 Kept: 95871
% 154.91/155.33 Inuse: 834
% 154.91/155.33 Deleted: 217
% 154.91/155.33 Deletedinuse: 0
% 154.91/155.33
% 154.91/155.33 Resimplifying inuse:
% 154.91/155.33 Done
% 154.91/155.33
% 154.91/155.33
% 154.91/155.33 Intermediate Status:
% 154.91/155.33 Generated: 800885
% 154.91/155.33 Kept: 98109
% 154.91/155.33 Inuse: 849
% 154.91/155.33 Deleted: 217
% 154.91/155.33 Deletedinuse: 0
% 154.91/155.33
% 154.91/155.33 Resimplifying inuse:
% 154.91/155.33 Done
% 154.91/155.33
% 154.91/155.33 Resimplifying inuse:
% 154.91/155.33 Done
% 154.91/155.33
% 154.91/155.33
% 154.91/155.33 Intermediate Status:
% 154.91/155.33 Generated: 811449
% 154.91/155.33 Kept: 100298
% 154.91/155.33 Inuse: 864
% 154.91/155.33 Deleted: 217
% 154.91/155.33 Deletedinuse: 0
% 154.91/155.33
% 154.91/155.33 Resimplifying inuse:
% 154.91/155.33 Done
% 154.91/155.33
% 154.91/155.33
% 154.91/155.33 Intermediate Status:
% 154.91/155.33 Generated: 822270
% 154.91/155.33 Kept: 102733
% 154.91/155.33 Inuse: 879
% 154.91/155.33 Deleted: 217
% 154.91/155.33 Deletedinuse: 0
% 154.91/155.33
% 154.91/155.33 Resimplifying inuse:
% 154.91/155.33 Done
% 154.91/155.33
% 154.91/155.33 Resimplifying inuse:
% 154.91/155.33 Done
% 154.91/155.33
% 154.91/155.33 Resimplifying clauses:
% 154.91/155.33 Done
% 154.91/155.33
% 154.91/155.33
% 154.91/155.33 Intermediate Status:
% 154.91/155.33 Generated: 834270
% 154.91/155.33 Kept: 105735
% 154.91/155.33 Inuse: 894
% 154.91/155.33 Deleted: 259
% 154.91/155.33 Deletedinuse: 0
% 154.91/155.33
% 154.91/155.33 Resimplifying inuse:
% 154.91/155.33 Done
% 154.91/155.33
% 154.91/155.33
% 154.91/155.33 Intermediate Status:
% 154.91/155.33 Generated: 842014
% 154.91/155.33 Kept: 107751
% 154.91/155.33 Inuse: 904
% 154.91/155.33 Deleted: 259
% 154.91/155.33 Deletedinuse: 0
% 154.91/155.33
% 154.91/155.33 Resimplifying inuse:
% 154.91/155.33 Done
% 154.91/155.33
% 154.91/155.33 Resimplifying inuse:
% 154.91/155.33 Done
% 154.91/155.33
% 154.91/155.33
% 154.91/155.33 Intermediate Status:
% 154.91/155.33 Generated: 851267
% 154.91/155.33 Kept: 109933
% 154.91/155.33 Inuse: 914
% 154.91/155.33 Deleted: 259
% 154.91/155.33 Deletedinuse: 0
% 154.91/155.33
% 154.91/155.33 Resimplifying inuse:
% 154.91/155.33 Done
% 154.91/155.33
% 154.91/155.33 Resimplifying inuse:
% 154.91/155.33 Done
% 154.91/155.33
% 154.91/155.33
% 154.91/155.33 Intermediate Status:
% 154.91/155.33 Generated: 860924
% 154.91/155.33 Kept: 112069
% 154.91/155.33 Inuse: 924
% 154.91/155.33 Deleted: 259
% 154.91/155.33 Deletedinuse: 0
% 154.91/155.33
% 154.91/155.33 Resimplifying inuse:
% 154.91/155.33 Done
% 154.91/155.33
% 154.91/155.33 Resimplifying inuse:
% 154.91/155.33 Done
% 154.91/155.33
% 154.91/155.33
% 154.91/155.33 Intermediate Status:
% 154.91/155.33 Generated: 870005
% 154.91/155.33 Kept: 114118
% 154.91/155.33 Inuse: 938
% 154.91/155.33 Deleted: 260
% 154.91/155.33 Deletedinuse: 0
% 154.91/155.33
% 154.91/155.33 Resimplifying inuse:
% 154.91/155.33 Done
% 154.91/155.33
% 154.91/155.33 Resimplifying inuse:
% 154.91/155.33 Done
% 154.91/155.33
% 154.91/155.33
% 154.91/155.33 Intermediate Status:
% 154.91/155.33 Generated: 882161
% 154.91/155.33 Kept: 116267
% 154.91/155.33 Inuse: 968
% 154.91/155.33 Deleted: 260
% 154.91/155.33 Deletedinuse: 0
% 154.91/155.33
% 154.91/155.33 Resimplifying inuse:
% 154.91/155.33 Done
% 154.91/155.33
% 154.91/155.33 Resimplifying inuse:
% 154.91/155.33 Done
% 154.91/155.33
% 154.91/155.33
% 154.91/155.33 Intermediate Status:
% 154.91/155.33 Generated: 890151
% 154.91/155.33 Kept: 118268
% 154.91/155.33 Inuse: 990
% 154.91/155.33 Deleted: 260
% 154.91/155.33 Deletedinuse: 0
% 154.91/155.33
% 154.91/155.33 Resimplifying inuse:
% 154.91/155.33 Done
% 154.91/155.33
% 154.91/155.33
% 154.91/155.33 Intermediate Status:
% 154.91/155.33 Generated: 900299
% 154.91/155.33 Kept: 120315
% 154.91/155.33 Inuse: 1008
% 154.91/155.33 Deleted: 260
% 154.91/155.33 Deletedinuse: 0
% 154.91/155.33
% 154.91/155.33 Resimplifying inuse:
% 154.91/155.33 Done
% 154.91/155.33
% 154.91/155.33 Resimplifying inuse:
% 154.91/155.33 Done
% 154.91/155.33
% 154.91/155.33
% 154.91/155.33 Intermediate Status:
% 154.91/155.33 Generated: 912475
% 154.91/155.33 Kept: 122723
% 154.91/155.33 Inuse: 1033
% 154.91/155.33 Deleted: 260
% 154.91/155.33 Deletedinuse: 0
% 154.91/155.33
% 154.91/155.33 Resimplifying inuse:
% 154.91/155.33 Done
% 154.91/155.33
% 154.91/155.33
% 154.91/155.33 Intermediate Status:
% 154.91/155.33 Generated: 922578
% 154.91/155.33 Kept: 124736
% 154.91/155.33 Inuse: 1063
% 154.91/155.33 Deleted: 260
% 154.91/155.33 Deletedinuse: 0
% 154.91/155.33
% 154.91/155.33 Resimplifying inuse:
% 154.91/155.33 Done
% 154.91/155.33
% 154.91/155.33 Resimplifying clauses:
% 154.91/155.33 Done
% 154.91/155.33
% 154.91/155.33
% 154.91/155.33 Intermediate Status:
% 154.91/155.33 Generated: 932053
% 154.91/155.33 Kept: 127354
% 154.91/155.33 Inuse: 1073
% 154.91/155.33 Deleted: 835
% 154.91/155.33 Deletedinuse: 3
% 154.91/155.33
% 154.91/155.33 Resimplifying inuse:
% 154.91/155.33 Done
% 154.91/155.33
% 154.91/155.33 Resimplifying inuse:
% 154.91/155.33 Done
% 154.91/155.33
% 154.91/155.33
% 154.91/155.33 Intermediate Status:
% 154.91/155.33 Generated: 976743
% 154.91/155.33 Kept: 132556
% 154.91/155.33 Inuse: 1088
% 154.91/155.33 Deleted: 835
% 154.91/155.33 Deletedinuse: 3
% 154.91/155.33
% 154.91/155.33 Resimplifying inuse:
% 154.91/155.33 Done
% 154.91/155.33
% 154.91/155.33 Resimplifying inuse:
% 154.91/155.33 Done
% 154.91/155.33
% 154.91/155.33
% 154.91/155.33 Intermediate Status:
% 154.91/155.33 Generated: 985045
% 154.91/155.33 Kept: 134556
% 154.91/155.33 Inuse: 1114
% 154.91/155.33 Deleted: 835
% 154.91/155.33 Deletedinuse: 3
% 154.91/155.33
% 154.91/155.33 Resimplifying inuse:
% 154.91/155.33 Done
% 154.91/155.33
% 154.91/155.33
% 154.91/155.33 Intermediate Status:
% 154.91/155.33 Generated: 1003289
% 154.91/155.33 Kept: 136711
% 154.91/155.33 Inuse: 1123
% 154.91/155.33 Deleted: 835
% 154.91/155.33 Deletedinuse: 3
% 154.91/155.34
% 154.91/155.34 Resimplifying inuse:
% 154.91/155.34 Done
% 154.91/155.34
% 154.91/155.34 Resimplifying inuse:
% 154.91/155.34 Done
% 154.91/155.34
% 154.91/155.34
% 154.91/155.34 Intermediate Status:
% 154.91/155.34 Generated: 1014654
% 154.91/155.34 Kept: 139016
% 154.91/155.34 Inuse: 1138
% 154.91/155.34 Deleted: 835
% 154.91/155.34 Deletedinuse: 3
% 154.91/155.34
% 154.91/155.34 Resimplifying inuse:
% 154.91/155.34 Done
% 154.91/155.34
% 154.91/155.34
% 154.91/155.34 Intermediate Status:
% 154.91/155.34 Generated: 1025857
% 154.91/155.34 Kept: 141319
% 154.91/155.34 Inuse: 1153
% 154.91/155.34 Deleted: 835
% 154.91/155.34 Deletedinuse: 3
% 154.91/155.34
% 154.91/155.34 Resimplifying inuse:
% 154.91/155.34 Done
% 154.91/155.34
% 154.91/155.34 Resimplifying inuse:
% 154.91/155.34 Done
% 154.91/155.34
% 154.91/155.34
% 154.91/155.34 Intermediate Status:
% 154.91/155.34 Generated: 1043335
% 154.91/155.34 Kept: 144252
% 154.91/155.34 Inuse: 1168
% 154.91/155.34 Deleted: 835
% 154.91/155.34 Deletedinuse: 3
% 154.91/155.34
% 154.91/155.34 Resimplifying inuse:
% 154.91/155.34 Done
% 154.91/155.34
% 154.91/155.34 Resimplifying clauses:
% 154.91/155.34 Done
% 154.91/155.34
% 154.91/155.34 Resimplifying inuse:
% 154.91/155.34 Done
% 154.91/155.34
% 154.91/155.34
% 154.91/155.34 Intermediate Status:
% 154.91/155.34 Generated: 1057266
% 154.91/155.34 Kept: 146774
% 154.91/155.34 Inuse: 1188
% 154.91/155.34 Deleted: 865
% 154.91/155.34 Deletedinuse: 3
% 154.91/155.34
% 154.91/155.34 Resimplifying inuse:
% 154.91/155.34 Done
% 154.91/155.34
% 154.91/155.34
% 154.91/155.34 Intermediate Status:
% 154.91/155.34 Generated: 1068196
% 154.91/155.34 Kept: 149094
% 154.91/155.34 Inuse: 1193
% 154.91/155.34 Deleted: 866
% 154.91/155.34 Deletedinuse: 4
% 154.91/155.34
% 154.91/155.34 Resimplifying inuse:
% 154.91/155.34 Done
% 154.91/155.34
% 154.91/155.34 Resimplifying inuse:
% 154.91/155.34 Done
% 154.91/155.34
% 154.91/155.34
% 154.91/155.34 Intermediate Status:
% 154.91/155.34 Generated: 1076688
% 154.91/155.34 Kept: 151421
% 154.91/155.34 Inuse: 1208
% 154.91/155.34 Deleted: 866
% 154.91/155.34 Deletedinuse: 4
% 272.41/272.82
% 272.41/272.82 Resimplifying inuse:
% 272.41/272.82 Done
% 272.41/272.82
% 272.41/272.82 Resimplifying inuse:
% 272.41/272.82 Done
% 272.41/272.82
% 272.41/272.82
% 272.41/272.82 Intermediate Status:
% 272.41/272.82 Generated: 1086930
% 272.41/272.82 Kept: 153833
% 272.41/272.82 Inuse: 1233
% 272.41/272.82 Deleted: 866
% 272.41/272.82 Deletedinuse: 4
% 272.41/272.82
% 272.41/272.82
% 272.41/272.82 Intermediate Status:
% 272.41/272.82 Generated: 1099624
% 272.41/272.82 Kept: 155887
% 272.41/272.82 Inuse: 1238
% 272.41/272.82 Deleted: 866
% 272.41/272.82 Deletedinuse: 4
% 272.41/272.82
% 272.41/272.82 Resimplifying inuse:
% 272.41/272.82 Done
% 272.41/272.82
% 272.41/272.82
% 272.41/272.82 Intermediate Status:
% 272.41/272.82 Generated: 1114347
% 272.41/272.82 Kept: 158647
% 272.41/272.82 Inuse: 1248
% 272.41/272.82 Deleted: 866
% 272.41/272.82 Deletedinuse: 4
% 272.41/272.82
% 272.41/272.82 Resimplifying inuse:
% 272.41/272.82 Done
% 272.41/272.82
% 272.41/272.82 Resimplifying inuse:
% 272.41/272.82 Done
% 272.41/272.82
% 272.41/272.82
% 272.41/272.82 Intermediate Status:
% 272.41/272.82 Generated: 1135298
% 272.41/272.82 Kept: 161592
% 272.41/272.82 Inuse: 1268
% 272.41/272.82 Deleted: 866
% 272.41/272.82 Deletedinuse: 4
% 272.41/272.82
% 272.41/272.82 Resimplifying inuse:
% 272.41/272.82 Done
% 272.41/272.82
% 272.41/272.82 Resimplifying inuse:
% 272.41/272.82 Done
% 272.41/272.82
% 272.41/272.82
% 272.41/272.82 Intermediate Status:
% 272.41/272.82 Generated: 1150325
% 272.41/272.82 Kept: 164037
% 272.41/272.82 Inuse: 1283
% 272.41/272.82 Deleted: 866
% 272.41/272.82 Deletedinuse: 4
% 272.41/272.82
% 272.41/272.82 Resimplifying inuse:
% 272.41/272.82 Done
% 272.41/272.82
% 272.41/272.82 Resimplifying clauses:
% 272.41/272.82 Done
% 272.41/272.82
% 272.41/272.82 Resimplifying inuse:
% 272.41/272.82 Done
% 272.41/272.82
% 272.41/272.82
% 272.41/272.82 Intermediate Status:
% 272.41/272.82 Generated: 1161159
% 272.41/272.82 Kept: 166270
% 272.41/272.82 Inuse: 1303
% 272.41/272.82 Deleted: 1080
% 272.41/272.82 Deletedinuse: 4
% 272.41/272.82
% 272.41/272.82 Resimplifying inuse:
% 272.41/272.82 Done
% 272.41/272.82
% 272.41/272.82
% 272.41/272.82 Intermediate Status:
% 272.41/272.82 Generated: 1168633
% 272.41/272.82 Kept: 168290
% 272.41/272.82 Inuse: 1323
% 272.41/272.82 Deleted: 1080
% 272.41/272.82 Deletedinuse: 4
% 272.41/272.82
% 272.41/272.82 Resimplifying inuse:
% 272.41/272.82 Done
% 272.41/272.82
% 272.41/272.82 Resimplifying inuse:
% 272.41/272.82 Done
% 272.41/272.82
% 272.41/272.82
% 272.41/272.82 Intermediate Status:
% 272.41/272.82 Generated: 1177617
% 272.41/272.82 Kept: 170376
% 272.41/272.82 Inuse: 1338
% 272.41/272.82 Deleted: 1080
% 272.41/272.82 Deletedinuse: 4
% 272.41/272.82
% 272.41/272.82 Resimplifying inuse:
% 272.41/272.82 Done
% 272.41/272.82
% 272.41/272.82 Resimplifying inuse:
% 272.41/272.82 Done
% 272.41/272.82
% 272.41/272.82
% 272.41/272.82 Intermediate Status:
% 272.41/272.82 Generated: 1187245
% 272.41/272.82 Kept: 173529
% 272.41/272.82 Inuse: 1353
% 272.41/272.82 Deleted: 1080
% 272.41/272.82 Deletedinuse: 4
% 272.41/272.82
% 272.41/272.82 Resimplifying inuse:
% 272.41/272.82 Done
% 272.41/272.82
% 272.41/272.82 Resimplifying inuse:
% 272.41/272.82 Done
% 272.41/272.82
% 272.41/272.82
% 272.41/272.82 Intermediate Status:
% 272.41/272.82 Generated: 1194794
% 272.41/272.82 Kept: 176107
% 272.41/272.82 Inuse: 1368
% 272.41/272.82 Deleted: 1080
% 272.41/272.82 Deletedinuse: 4
% 272.41/272.82
% 272.41/272.82 Resimplifying inuse:
% 272.41/272.82 Done
% 272.41/272.82
% 272.41/272.82 Resimplifying inuse:
% 272.41/272.82 Done
% 272.41/272.82
% 272.41/272.82
% 272.41/272.82 Intermediate Status:
% 272.41/272.82 Generated: 1225769
% 272.41/272.82 Kept: 181566
% 272.41/272.82 Inuse: 1383
% 272.41/272.82 Deleted: 1080
% 272.41/272.82 Deletedinuse: 4
% 272.41/272.82
% 272.41/272.82 Resimplifying inuse:
% 272.41/272.82 Done
% 272.41/272.82
% 272.41/272.82
% 272.41/272.82 Intermediate Status:
% 272.41/272.82 Generated: 1253336
% 272.41/272.82 Kept: 185687
% 272.41/272.82 Inuse: 1388
% 272.41/272.82 Deleted: 1080
% 272.41/272.82 Deletedinuse: 4
% 272.41/272.82
% 272.41/272.82 Resimplifying inuse:
% 272.41/272.82 Done
% 272.41/272.82
% 272.41/272.82 Resimplifying clauses:
% 272.41/272.82 Done
% 272.41/272.82
% 272.41/272.82 Resimplifying inuse:
% 272.41/272.82 Done
% 272.41/272.82
% 272.41/272.82
% 272.41/272.82 Intermediate Status:
% 272.41/272.82 Generated: 1266840
% 272.41/272.82 Kept: 188208
% 272.41/272.82 Inuse: 1398
% 272.41/272.82 Deleted: 1109
% 272.41/272.82 Deletedinuse: 4
% 272.41/272.82
% 272.41/272.82 Resimplifying inuse:
% 272.41/272.82 Done
% 272.41/272.82
% 272.41/272.82 Resimplifying inuse:
% 272.41/272.82 Done
% 272.41/272.82
% 272.41/272.82
% 272.41/272.82 Intermediate Status:
% 272.41/272.82 Generated: 1283428
% 272.41/272.82 Kept: 191424
% 272.41/272.82 Inuse: 1408
% 272.41/272.82 Deleted: 1109
% 272.41/272.82 Deletedinuse: 4
% 272.41/272.82
% 272.41/272.82 Resimplifying inuse:
% 272.41/272.82 Done
% 272.41/272.82
% 272.41/272.82 Resimplifying inuse:
% 272.41/272.82 Done
% 272.41/272.82
% 272.41/272.82
% 272.41/272.82 Intermediate Status:
% 272.41/272.82 Generated: 1299146
% 272.41/272.82 Kept: 194456
% 272.41/272.82 Inuse: 1418
% 272.41/272.82 Deleted: 1109
% 272.41/272.82 Deletedinuse: 4
% 272.41/272.82
% 272.41/272.82 Resimplifying inuse:
% 272.41/272.82 Done
% 272.41/272.82
% 272.41/272.82 Resimplifying inuse:
% 272.41/272.82 Done
% 272.41/272.82
% 272.41/272.82
% 272.41/272.82 Intermediate Status:
% 272.41/272.82 Generated: 1315911
% 272.41/272.82 Kept: 197682
% 272.41/272.82 Inuse: 1428
% 272.41/272.82 Deleted: 1109
% 272.41/272.82 Deletedinuse: 4
% 272.41/272.82
% 272.41/272.82 Resimplifying inuse:
% 272.41/272.82 Done
% 272.41/272.82
% 272.41/272.82 Resimplifying inuse:
% 272.41/272.82 Done
% 272.41/272.82
% 272.41/272.82
% 272.41/272.82 Intermediate Status:
% 272.41/272.82 Generated: 1330416
% 272.41/272.82 Kept: 200631
% 272.41/272.82 Inuse: 1438
% 272.41/272.82 Deleted: 1109
% 272.41/272.82 Deletedinuse: 4
% 272.41/272.82
% 272.41/272.82 Resimplifying inuse:
% 272.41/272.82 Done
% 272.41/272.82
% 272.41/272.82 Resimplifying inuse:
% 272.41/272.82 Done
% 272.41/272.82
% 272.41/272.82
% 272.41/272.82 Intermediate Status:
% 272.41/272.82 Generated: 1345755
% 272.41/272.82 Kept: 203424
% 272.41/272.82 Inuse: 1448
% 272.41/272.82 Deleted: 1109
% 272.41/272.82 Deletedinuse: 4
% 272.41/272.82
% 272.41/272.82 Resimplifying inuse:
% 272.41/272.82 Done
% 272.41/272.82
% 272.41/272.82 Resimplifying inuse:
% 272.41/272.82 Done
% 272.41/272.82
% 272.41/272.82
% 272.41/272.82 Intermediate Status:
% 272.41/272.82 Generated: 1362773
% 272.41/272.82 Kept: 206636
% 272.41/272.82 Inuse: 1463
% 272.41/272.82 Deleted: 1109
% 272.41/272.82 Deletedinuse: 4
% 272.41/272.82
% 272.41/272.82 Resimplifying inuse:
% 272.41/272.82 Done
% 272.41/272.82
% 272.41/272.82 Resimplifying clauses:
% 272.41/272.82 Done
% 272.41/272.82
% 272.41/272.82 Resimplifying inuse:
% 272.41/272.82 Done
% 272.41/272.82
% 272.41/272.82
% 272.41/272.82 Intermediate Status:
% 272.41/272.82 Generated: 1375398
% 272.41/272.82 Kept: 209180
% 272.41/272.82 Inuse: 1473
% 272.41/272.82 Deleted: 1497
% 272.41/272.82 Deletedinuse: 4
% 272.41/272.82
% 272.41/272.82 Resimplifying inuse:
% 272.41/272.82 Done
% 272.41/272.82
% 272.41/272.82
% 272.41/272.82 Intermediate Status:
% 272.41/272.82 Generated: 1385078
% 272.41/272.82 Kept: 211417
% 272.41/272.82 Inuse: 1478
% 272.41/272.82 Deleted: 1497
% 272.41/272.82 Deletedinuse: 4
% 272.41/272.82
% 272.41/272.82 Resimplifying inuse:
% 272.41/272.82 Done
% 272.41/272.82
% 272.41/272.82 Resimplifying inuse:
% 272.41/272.82 Done
% 272.41/272.82
% 272.41/272.82
% 272.41/272.82 Intermediate Status:
% 272.41/272.82 Generated: 1396668
% 272.41/272.82 Kept: 214033
% 272.41/272.82 Inuse: 1488
% 272.41/272.82 Deleted: 1497
% 272.41/272.82 Deletedinuse: 4
% 272.41/272.82
% 272.41/272.82 Resimplifying inuse:
% 272.41/272.82 Done
% 272.41/272.82
% 272.41/272.82 Resimplifying inuse:
% 272.41/272.82 Done
% 272.41/272.82
% 272.41/272.82
% 272.41/272.82 Intermediate Status:
% 272.41/272.82 Generated: 1417110
% 272.41/272.82 Kept: 217076
% 272.41/272.82 Inuse: 1491
% 272.41/272.82 Deleted: 1498
% 272.41/272.82 Deletedinuse: 5
% 272.41/272.82
% 272.41/272.82 Resimplifying inuse:
% 272.41/272.82 Done
% 272.41/272.82
% 272.41/272.82
% 272.41/272.82 Intermediate Status:
% 272.41/272.82 Generated: 1427387
% 272.41/272.82 Kept: 219221
% 272.41/272.82 Inuse: 1493
% 272.41/272.82 Deleted: 1498
% 272.41/272.82 Deletedinuse: 5
% 272.41/272.82
% 272.41/272.82 Resimplifying inuse:
% 272.41/272.82 DonCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------