TSTP Solution File: SWV597-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV597-1 : 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 16:27:00 EDT 2022
% Result : Timeout 288.99s 289.44s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV597-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n008.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Wed Jun 15 03:45:37 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.97/1.37 *** allocated 10000 integers for termspace/termends
% 0.97/1.37 *** allocated 10000 integers for clauses
% 0.97/1.37 *** allocated 10000 integers for justifications
% 0.97/1.37 *** allocated 15000 integers for termspace/termends
% 0.97/1.37 *** allocated 22500 integers for termspace/termends
% 0.97/1.37 *** allocated 33750 integers for termspace/termends
% 0.97/1.37 Bliksem 1.12
% 0.97/1.37
% 0.97/1.37
% 0.97/1.37 Automatic Strategy Selection
% 0.97/1.37
% 0.97/1.37 Clauses:
% 0.97/1.37 [
% 0.97/1.37 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.97/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.97/1.37 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z, X ),
% 0.97/1.37 'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ), Y ) ],
% 0.97/1.37 [ ~( 'class_Divides_Osemiring__div'( X ) ), =( Y,
% 0.97/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.97/1.37 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z, X ),
% 0.97/1.37 'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Odvd'( X ) ), ~(
% 0.97/1.37 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.97/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.97/1.37 T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y,
% 0.97/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Z,
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( U, W, X ), X ), T, X ), X ) ), ~(
% 0.97/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Y, W, X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Odvd'( X ) ), ~(
% 0.97/1.37 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 0.97/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'(
% 0.97/1.37 'c_HOL_Ominus__class_Ominus'( Z, 'c_HOL_Otimes__class_Otimes'( T, U, X )
% 0.97/1.37 , X ), W, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y,
% 0.97/1.37 'c_HOL_Oplus__class_Oplus'( Z, W, X ), X ) ), ~(
% 0.97/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Y, U, X ) ) ],
% 0.97/1.37 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.97/1.37 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'(
% 0.97/1.37 'c_Divides_Odiv__class_Omod'( Y, Z, X ), T, X ), Z, X ),
% 0.97/1.37 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.97/1.37 ) ) ],
% 0.97/1.37 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.97/1.37 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.97/1.37 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ),
% 0.97/1.37 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.97/1.37 ) ) ],
% 0.97/1.37 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 0.97/1.37 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.97/1.37 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 0.97/1.37 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.97/1.37 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.97/1.37 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 0.97/1.37 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.97/1.37 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.97/1.37 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 0.97/1.37 ,
% 0.97/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.97/1.37 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.97/1.37 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 0.97/1.37 ,
% 0.97/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.97/1.37 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.97/1.37 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~(
% 0.97/1.37 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.97/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.97/1.37 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.97/1.37 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~(
% 0.97/1.37 'c_HOL_Oord__class_Oless'( T, U, X ) ) ],
% 0.97/1.37 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 0.97/1.37 'c_RealVector_Oof__real'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.97/1.37 'tc_RealDef_Oreal' ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.97/1.37 'c_RealVector_Oof__real'( Y, X ), 'c_RealVector_Oof__real'( Z, X ), X ) )
% 0.97/1.37 ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.97/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 0.97/1.37 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.97/1.37 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.97/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.97/1.37 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.97/1.37 [ ~( 'class_RealVector_Osgn__div__norm'( X ) ), =(
% 0.97/1.37 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_RealVector_OscaleR__class_OscaleR'(
% 0.97/1.37 'c_HOL_Oinverse__class_Oinverse'( 'c_RealVector_Onorm__class_Onorm'( Y, X
% 0.97/1.37 ), 'tc_RealDef_Oreal' ), Y, X ) ) ],
% 0.97/1.37 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.97/1.37 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.97/1.37 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 0.97/1.37 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.97/1.37 ,
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.97/1.37 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.97/1.37 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.97/1.37 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.97/1.37 ,
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.97/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.97/1.37 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.97/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.97/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.97/1.37 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.97/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.97/1.37 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.97/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.97/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.97/1.37 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.97/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.97/1.37 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.97/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.97/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.97/1.37 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.97/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.97/1.37 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.97/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.97/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.97/1.37 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_lessequals'(
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.97/1.37 'c_RealVector_Odist__class_Odist'( Y, Z, X ), 'tc_RealDef_Oreal' ) ],
% 0.97/1.37 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.97/1.37 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T,
% 0.97/1.37 Y, X ), Z, X ) ) ],
% 0.97/1.37 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.97/1.37 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.97/1.37 T, X ), Z, X ) ) ],
% 0.97/1.37 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.97/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.97/1.37 'c_lessequals'( Y, T, X ) ) ],
% 0.97/1.37 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.97/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.97/1.37 'c_lessequals'( Y, Z, X ) ) ],
% 0.97/1.37 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.97/1.37 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T,
% 0.97/1.37 Y, X ), Z, X ) ) ],
% 0.97/1.37 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.97/1.37 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.97/1.37 T, X ), Z, X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.97/1.37 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.97/1.37 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.97/1.37 X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.97/1.37 X ), T, X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.97/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.97/1.37 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 0.97/1.37 Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.97/1.37 X ), Z, X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.97/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.97/1.37 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.97/1.37 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.97/1.37 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.97/1.37 X ), Z, X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.97/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.97/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.97/1.37 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.97/1.37 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 0.97/1.37 Z, X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.97/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.97/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.97/1.37 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z,
% 0.97/1.37 X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 0.97/1.37 Z, X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.97/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.97/1.37 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 0.97/1.37 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 0.97/1.37 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, T,
% 0.97/1.37 X ), Z, X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 0.97/1.37 ), =( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Z ) ],
% 0.97/1.37 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.97/1.37 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Oone__class_Oone'(
% 0.97/1.37 'tc_RealDef_Oreal' ), Y, X ), Y ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 0.97/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.97/1.37 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 0.97/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.97/1.37 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.97/1.37 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'(
% 0.97/1.37 Z, T, X ), X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ), =( T, U ), =( Z,
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.97/1.37 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( Y,
% 0.97/1.37 'c_HOL_Oplus__class_Oplus'(
% 0.97/1.37 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ),
% 0.97/1.37 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ), X ) ) ]
% 0.97/1.37 ,
% 0.97/1.37 [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 0.97/1.37 'c_Log_Opowr'( X, Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 0.97/1.37 ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X
% 0.97/1.37 , 'tc_RealDef_Oreal' ) ) ],
% 0.97/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 0.97/1.37 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.97/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.97/1.37 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), Y ),
% 0.97/1.37 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.97/1.37 , Z, X ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.97/1.37 ), ~( 'c_lessequals'( T, Y, X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.97/1.37 , T, X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.97/1.37 ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.97/1.37 , Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.97/1.37 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.97/1.37 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.97/1.37 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ), 'c_lessequals'(
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 0.97/1.37 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 0.97/1.37 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.97/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.97/1.37 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Odivide'( Y, Z,
% 0.97/1.37 X ), X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.97/1.37 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.97/1.37 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 0.97/1.37 , Y, X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.97/1.37 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), =( Y
% 0.97/1.37 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.97/1.37 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.97/1.37 , X ) ) ],
% 0.97/1.37 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.97/1.37 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 0.97/1.37 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.97/1.37 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), T, X ),
% 0.97/1.37 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'(
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.97/1.37 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.97/1.37 , T, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), X ) ), =( Z
% 0.97/1.37 , 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.97/1.37 ) ) ],
% 0.97/1.37 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.97/1.37 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Osgn__class_Osgn'( Y, X ), X )
% 0.97/1.37 , 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ), =( Y,
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.97/1.37 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ) ) ), =( X, Y ) ]
% 0.97/1.37 ,
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.97/1.37 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.97/1.37 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.97/1.37 'class_RealVector_Oreal__div__algebra'( X ) ), =(
% 0.97/1.37 'c_RealVector_Oof__real'( 'c_HOL_Oinverse__class_Oinverse'( Y,
% 0.97/1.37 'tc_RealDef_Oreal' ), X ), 'c_HOL_Oinverse__class_Oinverse'(
% 0.97/1.37 'c_RealVector_Oof__real'( Y, X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.97/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.97/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( T, Y
% 0.97/1.37 , X ), Z, X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.97/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.97/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, T
% 0.97/1.37 , X ), Z, X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.97/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 0.97/1.37 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ]
% 0.97/1.37 ,
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.97/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 0.97/1.37 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ]
% 0.97/1.37 ,
% 0.97/1.37 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.97/1.37 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 0.97/1.37 ) ],
% 0.97/1.37 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X,
% 0.97/1.37 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 0.97/1.37 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ]
% 0.97/1.37 ,
% 0.97/1.37 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.97/1.37 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 0.97/1.37 ) ],
% 0.97/1.37 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.97/1.37 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.97/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.97/1.37 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.97/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ),
% 0.97/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.97/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.97/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.97/1.37 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.97/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.97/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.97/1.37 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'(
% 0.97/1.37 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ), Z ) ],
% 0.97/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.97/1.37 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 0.97/1.37 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ],
% 0.97/1.37 [ 'c_lessequals'( 'c_Transcendental_Ocos'( X ), 'c_HOL_Oone__class_Oone'(
% 0.97/1.37 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.97/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.97/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.97/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.97/1.37 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.97/1.37 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.97/1.37 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.97/1.37 , X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.97/1.37 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.97/1.37 Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.97/1.37 , X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.97/1.37 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.97/1.37 , X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.97/1.37 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.97/1.37 , X ) ) ],
% 0.97/1.37 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.97/1.37 'c_RealVector_Odist__class_Odist'( Y, Z, X ), 'tc_RealDef_Oreal' ), =( Y
% 0.97/1.37 , Z ) ],
% 0.97/1.37 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.97/1.37 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 0.97/1.37 ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 0.97/1.37 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.97/1.37 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Y, X
% 0.97/1.37 ), 'c_Divides_Odiv__class_Omod'( Z, Y, X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.97/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 0.97/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.97/1.37 ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.97/1.37 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.97/1.37 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'(
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.97/1.37 X ) ) ],
% 0.97/1.37 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.97/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 0.97/1.37 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.97/1.37 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.97/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 0.97/1.37 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.97/1.37 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.97/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 0.97/1.37 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.97/1.37 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.97/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 0.97/1.37 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.97/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 0.97/1.37 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.97/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 0.97/1.37 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.97/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.97/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oone__class_Oone'( X ), Y,
% 0.97/1.37 X ) ],
% 0.97/1.37 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 0.97/1.37 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ), =( X,
% 0.97/1.37 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'(
% 0.97/1.37 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), =( X,
% 0.97/1.37 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 0.97/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.97/1.37 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.97/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.97/1.37 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.97/1.37 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.97/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.97/1.37 'c_Divides_Odiv__class_Odiv'( Z, Y, X ), X ),
% 0.97/1.37 'c_Divides_Odiv__class_Omod'( Z, Y, X ), X ), Z ) ],
% 0.97/1.37 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.97/1.37 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.97/1.37 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 0.97/1.37 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.97/1.37 ,
% 0.97/1.37 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), =( X, Y ), ~(
% 0.97/1.37 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 0.97/1.37 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.97/1.37 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.97/1.37 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.97/1.37 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 0.97/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 0.97/1.37 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 0.97/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.97/1.37 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.97/1.37 ,
% 0.97/1.37 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.97/1.37 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 0.97/1.37 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.97/1.37 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.97/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.97/1.37 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.97/1.37 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'(
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 0.97/1.37 ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.97/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.97/1.37 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.97/1.37 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'( Z,
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 0.97/1.37 ,
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.97/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.97/1.37 'c_HOL_Oinverse__class_Oinverse'( 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.97/1.37 ), X ), 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.97/1.37 Y, X ), Z, X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.97/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.97/1.37 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.97/1.37 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 0.97/1.37 Y, X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.97/1.37 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.97/1.37 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.97/1.37 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.97/1.37 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.97/1.37 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.97/1.37 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.97/1.37 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.97/1.37 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.97/1.37 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.97/1.37 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.97/1.37 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ),
% 0.97/1.37 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'(
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( T, U, 'tc_RealDef_Oreal' ),
% 0.97/1.37 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.97/1.37 'c_RealVector_Onorm__class_Onorm'( Z, X ), U, 'tc_RealDef_Oreal' ) ), ~(
% 0.97/1.37 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( Y, X ), T,
% 0.97/1.37 'tc_RealDef_Oreal' ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 0.97/1.37 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X )
% 0.97/1.37 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, Z ) ],
% 0.97/1.37 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ouminus__class_Ouminus'(
% 0.97/1.37 Y, X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.97/1.37 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 0.97/1.37 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 0.97/1.37 'c_RealVector_Oof__real'( Y, X ), 'c_RealVector_OscaleR__class_OscaleR'(
% 0.97/1.37 Y, 'c_HOL_Oone__class_Oone'( X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.97/1.37 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oabs__class_Oabs'( Y
% 0.97/1.37 , X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), 'c_HOL_Oabs__class_Oabs'(
% 0.97/1.37 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), X ) ],
% 0.97/1.37 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Odiv'(
% 0.97/1.37 Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.97/1.37 'c_HOL_Ouminus__class_Ouminus'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 0.97/1.37 X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.97/1.37 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Odiv'(
% 0.97/1.37 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ),
% 0.97/1.37 'c_HOL_Ouminus__class_Ouminus'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 0.97/1.37 X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.97/1.37 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.97/1.37 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.97/1.37 T, X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.97/1.37 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 0.97/1.37 X ), Z, X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 0.97/1.37 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.97/1.37 T, X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.97/1.37 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.97/1.37 X ), T, X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.97/1.37 , X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.97/1.37 T, X ), X ) ) ],
% 0.97/1.37 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.97/1.37 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' ),
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.97/1.37 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.97/1.37 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.97/1.37 X ), T, X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.97/1.37 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.97/1.37 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.97/1.37 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.97/1.37 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.97/1.37 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 0.97/1.37 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =(
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.97/1.37 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.97/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.97/1.37 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 0.97/1.37 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 0.97/1.37 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.97/1.37 [ =( 'c_Transcendental_Otan'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 0.97/1.37 'tc_RealDef_Oreal' ) ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.97/1.37 'c_Transcendental_Otan'( X ), 'tc_RealDef_Oreal' ) ) ],
% 0.97/1.37 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.97/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.97/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.97/1.37 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.97/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.97/1.37 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.97/1.37 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 0.97/1.37 'c_HOL_Oord__class_Oless'( Y,
% 0.97/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.97/1.37 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.97/1.37 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 0.97/1.37 'c_HOL_Oord__class_Oless'( Y,
% 0.97/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.97/1.37 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.97/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.97/1.37 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 0.97/1.37 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Z, Y, X ), X ) )
% 0.97/1.37 ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.97/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.97/1.37 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.97/1.37 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.97/1.37 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.97/1.37 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.97/1.37 ), X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.97/1.37 Y, X ), Z, X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.97/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.97/1.37 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.97/1.37 X ), ~( 'c_lessequals'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.97/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.97/1.37 ,
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.97/1.37 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.97/1.37 , X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.97/1.37 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 0.97/1.37 , X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.97/1.37 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.97/1.37 , X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.97/1.37 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 0.97/1.37 , X ) ) ],
% 0.97/1.37 [ 'c_lessequals'( 'c_Transcendental_Osin'( X ), 'c_HOL_Oone__class_Oone'(
% 0.97/1.37 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.97/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.97/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.97/1.37 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.97/1.37 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.97/1.37 X ) ) ],
% 0.97/1.37 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.97/1.37 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Y, X
% 0.97/1.37 ), 'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Odiv'( Z, Y, X ),
% 0.97/1.37 'c_HOL_Oone__class_Oone'( X ), X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.97/1.37 ) ) ],
% 0.97/1.37 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.97/1.37 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 0.97/1.37 ), 'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 0.97/1.37 'c_HOL_Oone__class_Oone'( X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 0.97/1.37 ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.97/1.37 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.97/1.37 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.97/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 0.97/1.37 ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.97/1.37 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.97/1.37 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 0.97/1.37 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.97/1.37 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.97/1.37 ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.97/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.97/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 0.97/1.37 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 0.97/1.37 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.97/1.37 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.97/1.37 X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 0.97/1.37 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.97/1.37 X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.97/1.37 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.97/1.37 X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 0.97/1.37 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 0.97/1.37 X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =(
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.97/1.37 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.97/1.37 Y, Y, X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.97/1.37 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 0.97/1.37 Y, Z, X ) ) ],
% 0.97/1.37 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( X,
% 0.97/1.37 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'(
% 0.97/1.37 'tc_RealDef_Oreal' ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 0.97/1.37 'tc_RealDef_Oreal' ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 0.97/1.37 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.97/1.37 X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 0.97/1.37 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.97/1.37 X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.97/1.37 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.97/1.37 X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.97/1.37 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.97/1.37 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.97/1.37 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.97/1.37 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 0.97/1.37 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 0.97/1.37 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.97/1.37 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.97/1.37 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.97/1.37 'c_Divides_Odiv__class_Odiv'( Z, T, X ) ), =( Y,
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.97/1.37 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.97/1.37 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 0.97/1.37 'c_Divides_Odiv__class_Odiv'( Y, T, X ) ), =( Z,
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.97/1.37 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Osgn__class_Osgn'( Y, X ), X ),
% 0.97/1.37 'c_HOL_Osgn__class_Osgn'( Y, X ) ) ],
% 0.97/1.37 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 0.97/1.37 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'tc_RealDef_Oreal' ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.97/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.97/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.97/1.37 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.97/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.97/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y
% 0.97/1.37 , X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.97/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.97/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.97/1.37 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.97/1.37 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.97/1.37 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ]
% 0.97/1.37 ,
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.97/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.97/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.97/1.37 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.97/1.37 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.97/1.37 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.97/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.97/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.97/1.37 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 0.97/1.37 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 0.97/1.37 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.97/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.97/1.37 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.97/1.37 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.97/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 0.97/1.37 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 0.97/1.37 , X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.97/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.97/1.37 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.97/1.37 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.97/1.37 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.97/1.37 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ]
% 0.97/1.37 ,
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.97/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.97/1.37 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.97/1.37 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.97/1.37 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.97/1.37 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.97/1.37 Y, T, X ), Z, X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.97/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.97/1.37 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.97/1.37 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 0.97/1.37 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 0.97/1.37 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.97/1.37 Y, T, X ), Z, X ) ) ],
% 0.97/1.37 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 0.97/1.37 'c_RealVector_Oof__real'( 'c_HOL_Ouminus__class_Ouminus'( Y,
% 0.97/1.37 'tc_RealDef_Oreal' ), X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.97/1.37 'c_RealVector_Oof__real'( Y, X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.97/1.37 'class_RealVector_Oreal__algebra__1'( X ) ), =( 'c_RealVector_Oof__real'(
% 0.97/1.37 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_RealDef_Oreal' ), X ),
% 0.97/1.37 'c_HOL_Ouminus__class_Ouminus'( 'c_RealVector_Oof__real'( Y, X ), X ) ) ]
% 0.97/1.37 ,
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.97/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.97/1.37 'c_Power_Opower__class_Opower'( Y, Z, X ), X ),
% 0.97/1.37 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 0.97/1.37 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 0.97/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.97/1.37 ,
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.97/1.37 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.97/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.97/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.97/1.37 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.97/1.37 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, X )
% 0.97/1.37 , 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.97/1.37 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.97/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.97/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.97/1.37 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.97/1.37 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 0.97/1.37 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.97/1.37 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'(
% 0.97/1.37 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.97/1.37 'c_HOL_Ouminus__class_Ouminus'(
% 0.97/1.37 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ), X ) ) ]
% 0.97/1.37 ,
% 0.97/1.37 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 0.97/1.37 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ),
% 0.97/1.37 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ouminus__class_Ouminus'(
% 0.97/1.37 'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ), Z, X ) ) ],
% 0.97/1.37 [ =( 'c_NthRoot_Oroot'( X, Y ), 'c_HOL_Ozero__class_Ozero'(
% 0.97/1.37 'tc_RealDef_Oreal' ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.97/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.97/1.37 ), Y, 'tc_RealDef_Oreal' ) ],
% 0.97/1.37 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.97/1.37 'c_HOL_Ouminus__class_Ouminus'(
% 0.97/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.97/1.37 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.97/1.37 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.97/1.37 , X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 0.97/1.37 'c_Divides_Odiv__class_Odiv'( T, U, X ), X ),
% 0.97/1.37 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), ~(
% 0.97/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( U, T, X ) ), ~(
% 0.97/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.97/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.97/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.97/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.97/1.37 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.97/1.37 , X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.97/1.37 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Y,
% 0.97/1.37 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 0.97/1.37 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.97/1.37 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 0.97/1.37 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.97/1.37 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.97/1.37 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.97/1.37 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.97/1.37 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 0.97/1.37 X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.97/1.37 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.97/1.37 X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.97/1.37 , Z, X ) ) ],
% 0.97/1.37 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.97/1.37 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.97/1.37 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ]
% 0.97/1.37 ,
% 0.97/1.37 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 0.97/1.37 'c_HOL_Oord__class_Oless'( 'c_RealVector_Odist__class_Odist'( Y, Z, X ),
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.97/1.37 ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.97/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 0.97/1.37 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 0.97/1.37 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, T, X )
% 0.97/1.37 , 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 0.97/1.37 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.97/1.37 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z,
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 0.97/1.37 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.97/1.37 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'(
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 0.97/1.37 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.97/1.37 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'( Z,
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =(
% 0.97/1.37 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.97/1.37 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), ~( 'c_lessequals'(
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.97/1.37 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.97/1.37 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.97/1.37 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.97/1.37 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.97/1.37 ) ],
% 0.97/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.97/1.37 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.97/1.37 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.97/1.37 X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.97/1.37 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.97/1.37 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 0.97/1.37 ) ],
% 0.97/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.97/1.37 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.97/1.37 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.97/1.37 X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.97/1.37 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.97/1.37 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.97/1.37 ) ],
% 0.97/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.97/1.37 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.97/1.37 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 0.97/1.37 ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.97/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y,
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Otimes__class_Otimes'( Z,
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 0.97/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'(
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), X ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.97/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.97/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~(
% 0.97/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.97/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Y, X ) ],
% 0.97/1.37 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.97/1.37 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 0.97/1.37 , T, X ), X ), 'c_HOL_Ominus__class_Ominus'(
% 0.97/1.37 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.97/1.37 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.97/1.37 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 0.97/1.37 , T, X ), X ), 'c_HOL_Ominus__class_Ominus'(
% 0.97/1.37 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 0.97/1.37 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 0.97/1.37 'c_HOL_Oord__class_Oless'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.97/1.37 Y, Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.97/1.37 [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 0.97/1.37 'c_HOL_Oord__class_Oless'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.97/1.37 Y, Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.97/1.37 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.97/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.97/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), Y ) ],
% 0.97/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.97/1.37 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_lessequals'(
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.97/1.37 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.97/1.37 ), =( Z, Y ) ],
% 0.97/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.97/1.37 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.97/1.37 ) ],
% 0.97/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.97/1.37 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.97/1.37 ) ],
% 0.97/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.97/1.37 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.97/1.37 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.97/1.37 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.97/1.37 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.97/1.37 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.97/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.97/1.37 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.97/1.37 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.97/1.37 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.97/1.37 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_RealDef_Oreal' ) ), ~(
% 0.97/1.37 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.97/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 0.97/1.37 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 0.97/1.37 , Y, X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.97/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.97/1.37 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.97/1.37 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.97/1.37 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 0.97/1.37 Z, T, X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 0.97/1.37 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.97/1.37 , X ) ) ), =( Y, Z ) ],
% 0.97/1.37 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.97/1.37 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.97/1.37 , X ) ) ), =( Y, Z ) ],
% 0.97/1.37 [ 'c_lessequals'( 'c_Transcendental_Ocos'( X ), 'c_Transcendental_Ocos'(
% 0.97/1.37 Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y,
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.97/1.37 , ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'(
% 0.97/1.37 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Opi',
% 0.97/1.37 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.97/1.37 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.97/1.37 'tc_RealDef_Oreal' ) ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 0.97/1.37 ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Oinverse__class_Odivide'(
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ), Z ) ],
% 0.97/1.37 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ),
% 0.97/1.37 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.97/1.37 'c_HOL_Oabs__class_Oabs'( T, X ), X ), X ), ~( 'c_lessequals'(
% 0.97/1.37 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.97/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 0.97/1.37 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.97/1.37 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.97/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.97/1.37 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.97/1.37 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.97/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.97/1.37 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.97/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.97/1.37 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.97/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.97/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.97/1.37 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.97/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.97/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ), X ) ],
% 0.97/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( Y,
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.97/1.37 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 0.97/1.37 ],
% 0.97/1.37 [ 'c_lessequals'( 'c_Transcendental_Ocos'( X ), 'c_Transcendental_Ocos'(
% 0.97/1.37 Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, 'c_Transcendental_Opi',
% 0.97/1.37 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( Y, X, 'tc_RealDef_Oreal' ) ),
% 0.97/1.37 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y,
% 0.97/1.37 'tc_RealDef_Oreal' ) ) ],
% 0.97/1.37 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 0.97/1.37 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ),
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ) ) ), 'c_lessequals'(
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ],
% 0.97/1.37 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.97/1.37 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ),
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.97/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.97/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.97/1.37 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'( Y,
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 0.97/1.37 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.97/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.97/1.37 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'(
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_RealVector_Ometric__space'( X ) ), 'c_lessequals'(
% 0.97/1.37 'c_RealVector_Odist__class_Odist'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 0.97/1.37 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 0.97/1.37 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 0.97/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.97/1.37 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 0.97/1.37 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.97/1.37 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.97/1.37 ), X ) ],
% 0.97/1.37 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.97/1.37 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z
% 0.97/1.37 , X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.97/1.37 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.97/1.37 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y
% 0.97/1.37 , X ), Z ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.97/1.37 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.97/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.97/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.97/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.97/1.37 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.97/1.37 Z, Y, X ) ) ],
% 0.97/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.97/1.37 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.97/1.37 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.97/1.37 , X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_RealVector_Oreal__div__algebra'( X ) ), =(
% 0.97/1.37 'c_HOL_Oinverse__class_Oinverse'( 'c_RealVector_OscaleR__class_OscaleR'(
% 0.97/1.37 Y, Z, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'(
% 0.97/1.37 'c_HOL_Oinverse__class_Oinverse'( Y, 'tc_RealDef_Oreal' ),
% 0.97/1.37 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.97/1.37 'tc_RealDef_Oreal' ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.97/1.37 'class_RealVector_Oreal__div__algebra'( X ) ), =(
% 0.97/1.37 'c_HOL_Oinverse__class_Oinverse'( 'c_RealVector_OscaleR__class_OscaleR'(
% 0.97/1.37 Y, Z, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'(
% 0.97/1.37 'c_HOL_Oinverse__class_Oinverse'( Y, 'tc_RealDef_Oreal' ),
% 0.97/1.37 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.97/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.97/1.37 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 0.97/1.37 , 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X
% 0.97/1.37 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X
% 0.97/1.37 ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.97/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.97/1.37 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.97/1.37 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.97/1.37 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~(
% 0.97/1.37 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.97/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.97/1.37 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 0.97/1.37 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.97/1.37 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~(
% 0.97/1.37 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.97/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.97/1.37 , Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Osgn__if'( X ) ), =(
% 0.97/1.37 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ), ~(
% 0.97/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =(
% 0.97/1.37 Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.97/1.37 [ =( 'c_HOL_Osgn__class_Osgn'( X, 'tc_RealDef_Oreal' ),
% 0.97/1.37 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ), ~(
% 0.97/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.97/1.37 ), X, 'tc_RealDef_Oreal' ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 0.97/1.37 'tc_RealDef_Oreal' ) ) ],
% 0.97/1.37 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.97/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.97/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.97/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 0.97/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.97/1.37 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.97/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.97/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.97/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.97/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.97/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.97/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 0.97/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.97/1.37 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.97/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.97/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.97/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.97/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.97/1.37 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X )
% 0.97/1.37 ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.97/1.37 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.97/1.37 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 0.97/1.37 Z, T, X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.97/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.97/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.97/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.97/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.97/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.97/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.97/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.97/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.97/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.97/1.37 ,
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.97/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 0.97/1.37 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.97/1.37 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.97/1.37 ,
% 0.97/1.37 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.97/1.37 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Y,
% 0.97/1.37 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 0.97/1.37 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.97/1.37 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.97/1.37 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.97/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.97/1.37 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.97/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.97/1.37 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.97/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.97/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.97/1.37 [ =( 'c_Log_Opowr'( X, 'c_HOL_Ouminus__class_Ouminus'( Y,
% 0.97/1.37 'tc_RealDef_Oreal' ) ), 'c_HOL_Oinverse__class_Oinverse'( 'c_Log_Opowr'(
% 0.97/1.37 X, Y ), 'tc_RealDef_Oreal' ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.97/1.37 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.97/1.37 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.97/1.37 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.97/1.37 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.97/1.37 , T, X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Odivide'(
% 0.97/1.37 Y, T, X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 0.97/1.37 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.97/1.37 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.97/1.37 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z,
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.97/1.37 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.97/1.37 'c_HOL_Ouminus__class_Ouminus'(
% 0.97/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.97/1.37 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.97/1.37 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.97/1.37 , X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.97/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.97/1.37 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.97/1.37 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.97/1.37 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.97/1.37 ,
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.97/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.97/1.37 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.97/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.97/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.97/1.37 ,
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.97/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.97/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.97/1.37 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.97/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.97/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.97/1.37 ,
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.97/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.97/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.97/1.37 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 0.97/1.37 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.97/1.37 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.97/1.37 ,
% 0.97/1.37 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.97/1.37 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.97/1.37 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ), X ) ]
% 0.97/1.37 ,
% 0.97/1.37 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 0.97/1.37 'c_RealVector_Oof__real'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 0.97/1.37 , X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.97/1.37 [ 'c_lessequals'( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Oone__class_Oone'(
% 0.97/1.37 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X,
% 0.97/1.37 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ]
% 0.97/1.37 ,
% 0.97/1.37 [ 'c_lessequals'( X, 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 0.97/1.37 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_NthRoot_Osqrt'( X ),
% 0.97/1.37 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ]
% 0.97/1.37 ,
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.97/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 0.97/1.37 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), ~(
% 0.97/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 0.97/1.37 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.97/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 0.97/1.37 T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.97/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.97/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.97/1.37 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 0.97/1.37 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oinverse__class_Oinverse'(
% 0.97/1.37 Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.97/1.37 ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.97/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.97/1.37 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 0.97/1.37 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.97/1.37 Z, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.97/1.37 ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.97/1.37 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Otimes__class_Otimes'( Y,
% 0.97/1.37 'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.97/1.37 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 0.97/1.37 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.97/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 0.97/1.37 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.97/1.37 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ), Z
% 0.97/1.37 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.97/1.37 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 0.97/1.37 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.97/1.37 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ), X
% 0.97/1.37 ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.97/1.37 [ ~( =( 'c_Transcendental_Ocos'( 'c_Transcendental_Oarctan'( X ) ),
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.97/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.97/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 0.97/1.37 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y,
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), Z, X ) ), =( Z,
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.97/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.97/1.37 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 0.97/1.37 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Z,
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), T, X ) ), =( T,
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.97/1.37 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 0.97/1.37 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 0.97/1.37 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ), =( X,
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.97/1.37 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 0.97/1.37 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 0.97/1.37 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ), =( Y,
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.97/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.97/1.37 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 0.97/1.37 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, U,
% 0.97/1.37 X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.97/1.37 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.97/1.37 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 0.97/1.37 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'(
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.97/1.37 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 0.97/1.37 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), X ) ), =( Z,
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.97/1.37 ) ],
% 0.97/1.37 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.97/1.37 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.97/1.37 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ominus__class_Ominus'(
% 0.97/1.37 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.97/1.37 Z, X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.97/1.37 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.97/1.37 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.97/1.37 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 0.97/1.37 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.97/1.37 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.97/1.37 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 0.97/1.37 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ), =( Z,
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.97/1.37 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.97/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.97/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Divides_Odiv__class_Odiv'( Y, T
% 0.97/1.37 , X ), 'c_Divides_Odiv__class_Odiv'( Z, T, X ), X ) ), ~(
% 0.97/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~(
% 0.97/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( T, Y, X ) ) ],
% 0.97/1.37 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.97/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Divides_Odiv__class_Odiv'( Y, Z
% 0.97/1.37 , X ), 'c_Divides_Odiv__class_Odiv'( T, Z, X ), X ), ~(
% 0.97/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.97/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Z, T, X ) ), ~(
% 0.97/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.97/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.97/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.97/1.37 Z, X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.97/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.97/1.37 Z, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.97/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.97/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.97/1.37 , X ), Z, X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.97/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.97/1.37 , X ), Z, X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ]
% 0.97/1.37 ,
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.97/1.37 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.97/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.97/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.97/1.37 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.97/1.37 Z, T, X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.97/1.37 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.97/1.37 T, Z, X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.97/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~(
% 0.97/1.37 'c_lessequals'( Y, T, X ) ) ],
% 0.97/1.37 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.97/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~(
% 0.97/1.37 'c_lessequals'( Z, T, X ) ) ],
% 0.97/1.37 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.97/1.37 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.97/1.37 Z, T, X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.97/1.37 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.97/1.37 T, Z, X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.97/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.97/1.37 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 0.97/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.97/1.37 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.97/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.97/1.37 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 0.97/1.37 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.97/1.37 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 0.97/1.37 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 0.97/1.37 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ),
% 0.97/1.37 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'(
% 0.97/1.37 'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 0.97/1.37 , T, X ), X ), T, X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.97/1.37 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 0.97/1.37 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.97/1.37 ,
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.97/1.37 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 0.97/1.37 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.97/1.37 ,
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X ), ~( 'c_lessequals'( Y,
% 0.97/1.37 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'(
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y, X ), ~( 'c_lessequals'( Z,
% 0.97/1.37 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.97/1.37 [ 'c_lessequals'( 'c_Log_Opowr'( X, Y ), 'c_Log_Opowr'( X, Z ),
% 0.97/1.37 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'(
% 0.97/1.37 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( Y, Z
% 0.97/1.37 , 'tc_RealDef_Oreal' ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.97/1.37 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y
% 0.97/1.37 ) ],
% 0.97/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.97/1.37 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 0.97/1.37 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~(
% 0.97/1.37 'c_lessequals'( Y, Z, X ) ) ],
% 0.97/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.97/1.37 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), ~(
% 0.97/1.37 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ) ), ~(
% 0.97/1.37 'c_lessequals'( Y, Z, X ) ) ],
% 0.97/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.97/1.37 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.97/1.37 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.97/1.37 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 0.97/1.37 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ],
% 0.97/1.37 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =(
% 0.97/1.37 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 0.97/1.37 X ) ) ), =( Z, T ) ],
% 0.97/1.37 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 0.97/1.37 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 0.97/1.37 X ) ) ), =( Z, T ) ],
% 0.97/1.37 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 0.97/1.37 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 0.97/1.37 X ) ) ), =( Y, T ) ],
% 0.97/1.37 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.97/1.37 'tc_RealDef_Oreal' ), 'c_Log_Opowr'( X, Y ), 'tc_RealDef_Oreal' ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 0.97/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.97/1.37 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.97/1.37 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.97/1.37 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.97/1.37 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.97/1.37 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.97/1.37 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 0.97/1.37 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.97/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.97/1.37 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.97/1.37 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y
% 0.97/1.37 , X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 0.97/1.37 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 0.97/1.37 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Z
% 0.97/1.37 , X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ), =( Z,
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 0.97/1.37 ) ],
% 0.97/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.97/1.37 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X )
% 0.97/1.37 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.97/1.37 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Ocos'( X ),
% 0.97/1.37 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y
% 0.97/1.37 , 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' )
% 0.97/1.37 ), ~( 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ), ~(
% 0.97/1.37 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( 'c_Transcendental_Opi',
% 0.97/1.37 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.97/1.37 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.97/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.97/1.37 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.97/1.37 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.97/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.97/1.37 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.97/1.37 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Ocos'( X ),
% 0.97/1.37 'c_Transcendental_Ocos'( Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X
% 0.97/1.37 , 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ), ~(
% 0.97/1.37 'c_HOL_Oord__class_Oless'( Y, X, 'tc_RealDef_Oreal' ) ), ~(
% 0.97/1.37 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y,
% 0.97/1.37 'tc_RealDef_Oreal' ) ) ],
% 0.97/1.37 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.97/1.37 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.97/1.37 ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 0.97/1.37 [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 0.97/1.37 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.97/1.37 ) ), 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ],
% 0.97/1.37 [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ), =(
% 0.97/1.37 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 0.97/1.37 ), X ), 'c_HOL_Oinverse__class_Oinverse'(
% 0.97/1.37 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'tc_RealDef_Oreal' ) ), =( Y,
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.97/1.37 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.97/1.37 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.97/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.97/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ),
% 0.97/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.97/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), X ) ],
% 0.97/1.37 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y,
% 0.97/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 0.97/1.37 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y,
% 0.97/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 0.97/1.37 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 0.97/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 0.97/1.37 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.97/1.37 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.97/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 0.97/1.37 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.97/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 0.97/1.37 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 0.97/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 0.97/1.37 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.97/1.37 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 0.97/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 0.97/1.37 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.97/1.37 [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), =(
% 0.97/1.37 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 0.97/1.37 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.97/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.97/1.37 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 0.97/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.97/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.97/1.37 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.97/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.97/1.37 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.97/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.97/1.37 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.97/1.37 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Ozero__class_Ozero'(
% 0.97/1.37 'tc_RealDef_Oreal' ) ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) )
% 0.97/1.37 ],
% 0.97/1.37 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.97/1.37 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~(
% 0.97/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.97/1.37 ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.97/1.37 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.97/1.37 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~(
% 0.97/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.97/1.37 ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ],
% 0.97/1.37 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.97/1.37 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~(
% 0.97/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.97/1.37 ), X, 'tc_RealDef_Oreal' ) ) ],
% 0.97/1.37 [ ~( 'class_RealVector_Ometric__space'( X ) ), =(
% 0.97/1.37 'c_RealVector_Odist__class_Odist'( Y, Z, X ),
% 0.97/1.37 'c_RealVector_Odist__class_Odist'( Z, Y, X ) ) ],
% 0.97/1.37 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.97/1.37 'c_HOL_Oplus__class_Oplus'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.97/1.37 Y, Z, X ), T, X ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.97/1.37 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.97/1.37 X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.97/1.37 'c_HOL_Oplus__class_Oplus'( Y,
% 0.97/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.97/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_HOL_Oplus__class_Oplus'(
% 0.97/1.37 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__meet'( X ) ), =(
% 0.97/1.37 'c_HOL_Oplus__class_Oplus'( Y,
% 0.97/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.97/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_HOL_Oplus__class_Oplus'(
% 0.97/1.37 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__meet'( X ) ), =(
% 0.97/1.37 'c_HOL_Oplus__class_Oplus'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.97/1.37 Y, Z, X ), T, X ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.97/1.37 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.97/1.37 X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 0.97/1.37 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.97/1.37 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.97/1.37 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y,
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.97/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.97/1.37 'c_HOL_Osgn__class_Osgn'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.97/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.97/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.97/1.37 'c_HOL_Osgn__class_Osgn'( Y, X ), X ) ) ],
% 0.97/1.37 [ 'c_lessequals'( 'c_Log_Opowr'( X, Y ), 'c_Log_Opowr'( Z, Y ),
% 0.97/1.37 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Z, 'tc_RealDef_Oreal' ) ),
% 0.97/1.37 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 0.97/1.37 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'(
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 0.97/1.37 ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 0.97/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ominus__class_Ominus'( Z
% 0.97/1.37 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.97/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.97/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 0.97/1.37 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.97/1.37 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.97/1.37 ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =(
% 0.97/1.37 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.97/1.37 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.97/1.37 ) ],
% 0.97/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 0.97/1.37 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 0.97/1.37 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.97/1.37 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 0.97/1.37 ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =(
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.97/1.37 , Z, X ) ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), =( Y, Z ) ]
% 0.97/1.37 ,
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.97/1.37 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.97/1.37 , T, X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.97/1.37 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.97/1.37 , Z, X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 0.97/1.37 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.97/1.37 , T, X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 0.97/1.37 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 0.97/1.37 , Z, X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 0.97/1.37 , 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ), ~(
% 0.97/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 0.97/1.37 ,
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.97/1.37 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Y
% 0.97/1.37 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ), ~(
% 0.97/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 0.97/1.37 ,
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.97/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.97/1.37 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 0.97/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.97/1.37 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.97/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 0.97/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.97/1.37 'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ]
% 0.97/1.37 ,
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.97/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.97/1.37 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 0.97/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.97/1.37 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.97/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 0.97/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 0.97/1.37 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), Z, X ) ) ]
% 0.97/1.37 ,
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.97/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oone__class_Oone'( X ),
% 0.97/1.37 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 0.97/1.37 ) ],
% 0.97/1.37 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Oone__class_Oone'(
% 0.97/1.37 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Oone__class_Oone'(
% 0.97/1.37 'tc_RealDef_Oreal' ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 0.97/1.37 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), Y ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.97/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.97/1.37 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 0.97/1.37 X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), 'c_lessequals'(
% 0.97/1.37 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 0.97/1.37 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'(
% 0.97/1.37 Y, X ), 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ),
% 0.97/1.37 'tc_RealDef_Oreal' ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 0.97/1.37 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.97/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ) ],
% 0.97/1.37 [ 'c_lessequals'( 'c_Transcendental_Oarctan'( X ),
% 0.97/1.37 'c_Transcendental_Oarctan'( Y ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 0.97/1.37 X, Y, 'tc_RealDef_Oreal' ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.97/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.97/1.37 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ), ~( 'c_lessequals'(
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.97/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.97/1.37 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~(
% 0.97/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 0.97/1.37 ), 'c_RealVector_Odist__class_Odist'( Y, Y, X ), 'tc_RealDef_Oreal' ) )
% 0.97/1.37 ],
% 0.97/1.37 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.97/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.97/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.97/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 0.97/1.37 , T, X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.97/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 0.97/1.37 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ), ~(
% 0.97/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 0.97/1.37 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.97/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 0.97/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 0.97/1.37 , T, X ), X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ]
% 0.97/1.37 ,
% 0.97/1.37 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 0.97/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Divides_Odiv__class_Omod'( Z
% 0.97/1.37 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 0.97/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.97/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.97/1.37 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.97/1.37 W, X ), X ), ~( 'c_lessequals'( T, 'c_HOL_Oplus__class_Oplus'(
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 0.97/1.37 , X ), W, X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( Y
% 0.97/1.37 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.97/1.37 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U, X ), W, X ), X ), ~(
% 0.97/1.37 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.97/1.37 T, U, X ), Y, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( Z, U, X ), W, X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.97/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 0.97/1.37 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 0.97/1.37 W, X ), X ), ~( 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'(
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 0.97/1.37 , X ), T, X ), W, X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 0.97/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.97/1.37 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ), U, X ), W, X ), ~(
% 0.97/1.37 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.97/1.37 Y, T, X ), U, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( Z, T, X ), W, X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.97/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.97/1.37 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.97/1.37 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 0.97/1.37 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.97/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.97/1.37 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 0.97/1.37 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.97/1.37 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.97/1.37 [ =( 'c_Log_Opowr'( 'c_Log_Opowr'( X, Y ), Z ), 'c_Log_Opowr'(
% 0.97/1.37 'c_Log_Opowr'( X, Z ), Y ) ) ],
% 0.97/1.37 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.97/1.37 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.97/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.97/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.97/1.37 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 0.97/1.37 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z, X )
% 0.97/1.37 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ],
% 0.97/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.97/1.37 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 0.97/1.37 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 0.97/1.37 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.97/1.37 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.97/1.37 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.97/1.37 Z, X ), X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.97/1.37 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.97/1.37 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 0.97/1.37 Z, X ), X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.97/1.37 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.97/1.37 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.97/1.37 , 'tc_RealDef_Oreal' ), Z, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.97/1.37 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 0.97/1.37 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.97/1.37 , 'tc_RealDef_Oreal' ), Z, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.97/1.37 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 0.97/1.37 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.97/1.37 , 'tc_RealDef_Oreal' ), Z, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.97/1.37 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.97/1.37 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oabs__class_Oabs'(
% 0.97/1.37 Y, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 0.97/1.37 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), ~( =(
% 0.97/1.37 'c_RealVector_Oof__real'( Y, X ), 'c_RealVector_Oof__real'( Z, X ) ) ),
% 0.97/1.37 =( Y, Z ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.97/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.97/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 0.97/1.37 'c_HOL_Ominus__class_Ominus'( T, Y, X ), Z, X ), U, X ), X ),
% 0.97/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 0.97/1.37 ) ) ],
% 0.97/1.37 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.97/1.37 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.97/1.37 ), 'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Odiv'( Y, T, X ),
% 0.97/1.37 'c_Divides_Odiv__class_Odiv'( Z, T, X ), X ) ), ~(
% 0.97/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~(
% 0.97/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( T, Y, X ) ) ],
% 0.97/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.97/1.37 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.97/1.37 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.97/1.37 , X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.97/1.37 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.97/1.37 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_lessequals'( Z, Y, X )
% 0.97/1.37 ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'c_lessequals'(
% 0.97/1.37 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.97/1.37 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 0.97/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.97/1.37 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( Y
% 0.97/1.37 , X ), Z, X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 0.97/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.97/1.37 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.97/1.37 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'(
% 0.97/1.37 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.97/1.37 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Oinverse'( Y
% 0.97/1.37 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y
% 0.97/1.37 , X ) ) ],
% 0.97/1.37 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.97/1.37 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'(
% 0.97/1.37 'c_Divides_Odiv__class_Omod'( Y, Z, X ), T, X ), Z, X ),
% 0.97/1.37 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z
% 0.97/1.37 , X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 0.97/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 0.97/1.37 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.97/1.37 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.97/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'( Y,
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, T, X ) ) ]
% 0.97/1.37 ,
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 0.97/1.37 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.97/1.37 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 0.97/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'(
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( T, Z, X ) )
% 0.97/1.37 ],
% 0.97/1.37 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 0.97/1.37 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.97/1.37 'c_Transcendental_Oexp'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ),
% 0.97/1.37 'c_HOL_Oinverse__class_Odivide'( 'c_Transcendental_Oexp'( Y, X ),
% 0.97/1.37 'c_Transcendental_Oexp'( Z, X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 0.97/1.37 'c_HOL_Oord__class_Oless'( 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 0.97/1.37 ],
% 0.97/1.37 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 0.97/1.37 ],
% 0.97/1.37 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.97/1.37 ],
% 0.97/1.37 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.97/1.37 ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.97/1.37 ],
% 0.97/1.37 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'(
% 0.97/1.37 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), X ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 0.97/1.37 ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 0.97/1.37 ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.97/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 0.97/1.37 , Y, X ), X ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 0.97/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 0.97/1.37 , Z, X ), X ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Odvd'( X ) ),
% 0.97/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 0.97/1.37 , Z, X ), X ) ],
% 0.97/1.37 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 0.97/1.37 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ominus__class_Ominus'(
% 0.97/1.37 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ),
% 0.97/1.37 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ), X ) ) ]
% 0.97/1.37 ,
% 0.97/1.37 [ =( 'c_Transcendental_Otan'( 'c_Transcendental_Oarctan'( X ) ), X ) ]
% 0.97/1.37 ,
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.97/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 0.97/1.37 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~(
% 0.97/1.37 'c_HOL_Oord__class_Oless'( U, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), U, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 0.97/1.37 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 0.97/1.37 ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 0.97/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.97/1.37 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ),
% 0.97/1.37 'c_Power_Opower__class_Opower'( Y, Z, X ), X ),
% 0.97/1.37 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'(
% 0.97/1.37 'c_HOL_Oone__class_Oone'( X ), Y, X ), Z, X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 0.97/1.37 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 0.97/1.37 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 0.97/1.37 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ), =( Z,
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.97/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.97/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.97/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.97/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.97/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.97/1.37 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.97/1.37 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.97/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.97/1.37 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 0.97/1.37 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 0.97/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 0.97/1.37 [ =( 'c_Transcendental_Oarctan'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 0.97/1.37 'tc_RealDef_Oreal' ) ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.97/1.37 'c_Transcendental_Oarctan'( X ), 'tc_RealDef_Oreal' ) ) ],
% 0.97/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 0.97/1.37 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'(
% 0.97/1.37 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 0.97/1.37 X ), 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X
% 0.97/1.37 ), X ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.97/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 0.97/1.37 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 0.97/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Z, X ), U, X ) ),
% 0.97/1.37 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ), T, X ) )
% 0.97/1.37 ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 0.97/1.37 'class_RealVector_Oreal__normed__div__algebra'( X ) ), =(
% 0.97/1.37 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 0.97/1.37 ), X ), 'c_HOL_Oinverse__class_Oinverse'(
% 0.97/1.37 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'tc_RealDef_Oreal' ) ) ],
% 0.97/1.37 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.97/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), Z, X
% 0.97/1.37 ), Y ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 0.97/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 0.97/1.37 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 0.97/1.37 ), X ), Y ) ],
% 0.97/1.37 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.97/1.37 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 0.97/1.37 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 0.97/1.37 , 'tc_RealDef_Oreal' ) ) ],
% 0.97/1.37 [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ),
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 0.97/1.37 ~( 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Ozero__class_Ozero'(
% 0.97/1.37 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 0.97/1.37 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.97/1.37 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.97/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.97/1.37 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.97/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ),
% 0.97/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.97/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.97/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.97/1.37 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.97/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.97/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~(
% 0.97/1.37 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.97/1.37 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.97/1.37 ,
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.97/1.37 , Y, X ) ) ],
% 0.97/1.37 [ =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_RealDef_Oreal' ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 0.97/1.37 , Y, X ) ) ],
% 0.97/1.37 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 0.97/1.37 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 0.97/1.37 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'(
% 0.97/1.37 'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 0.97/1.37 , T, X ), X ), T, X ) ) ],
% 0.97/1.37 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__join'( X ) ), =(
% 0.97/1.37 'c_HOL_Oplus__class_Oplus'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.97/1.37 Y, Z, X ), T, X ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.97/1.37 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 0.97/1.37 X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__join'( X ) ), =(
% 0.97/1.37 'c_HOL_Oplus__class_Oplus'( Y,
% 0.97/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.97/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_HOL_Oplus__class_Oplus'(
% 0.97/1.37 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.97/1.37 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.97/1.37 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.97/1.37 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.97/1.37 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.97/1.37 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_lessequals'( Y,
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 0.97/1.37 , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 0.97/1.37 , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 0.97/1.37 , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 0.97/1.37 , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_RealVector_Oreal__algebra'( X ) ), =(
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z
% 0.97/1.37 , X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_RealVector_Oreal__algebra'( X ) ), =(
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( Y, 'c_RealVector_OscaleR__class_OscaleR'( Z
% 0.97/1.37 , T, X ), X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =(
% 0.97/1.37 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 0.97/1.37 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 0.97/1.37 , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.97/1.37 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 0.97/1.37 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 0.97/1.37 'c_HOL_Oone__class_Oone'( X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =(
% 0.97/1.37 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 0.97/1.37 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 0.97/1.37 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'(
% 0.97/1.37 X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.97/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), =( Y
% 0.97/1.37 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 0.97/1.37 , X ) ) ],
% 0.97/1.37 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 0.97/1.37 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ),
% 0.97/1.37 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'(
% 0.97/1.37 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ],
% 0.97/1.37 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Omod'(
% 0.97/1.37 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X ),
% 0.97/1.37 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( Y,
% 0.97/1.37 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ],
% 0.97/1.37 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 0.97/1.37 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Oexp'( Y, X ),
% 0.97/1.37 'c_Transcendental_Oexp'( Z, X ), X ), 'c_Transcendental_Oexp'(
% 0.97/1.37 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.97/1.37 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 0.97/1.37 , 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ), =(
% 0.97/1.37 'c_HOL_Oplus__class_Oplus'( Y, T, X ), U ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'c_lessequals'(
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 0.97/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'(
% 0.97/1.37 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( T, X ),
% 0.97/1.37 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( U, X ), X ),
% 0.97/1.37 'c_HOL_Otimes__class_Otimes'(
% 0.97/1.37 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( W, X ),
% 0.97/1.37 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( U, X ), X ), X )
% 0.97/1.37 , 'c_HOL_Otimes__class_Otimes'(
% 0.97/1.37 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( T, X ),
% 0.97/1.37 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( V0, X ), X ), X
% 0.97/1.37 ), 'c_HOL_Otimes__class_Otimes'(
% 0.97/1.37 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( W, X ),
% 0.97/1.37 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( V0, X ), X ), X
% 0.97/1.37 ), X ), ~( 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( V0, Z, X ) )
% 0.97/1.37 , ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( W, Y, X ) ) ],
% 0.97/1.37 [ =( 'c_HOL_Osgn__class_Osgn'( X, 'tc_RealDef_Oreal' ),
% 0.97/1.37 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'(
% 0.97/1.37 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), 'c_HOL_Oord__class_Oless'(
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 0.97/1.37 , =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Osgn__if'( X ) ), =(
% 0.97/1.37 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 0.97/1.37 'c_HOL_Oone__class_Oone'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 0.97/1.37 X ) ) ],
% 0.97/1.37 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 0.97/1.37 'tc_RealDef_Oreal' ) ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'(
% 0.97/1.37 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ), =( X,
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 0.97/1.37 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.97/1.37 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'(
% 0.97/1.37 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 0.97/1.37 'c_HOL_Ouminus__class_Ouminus'(
% 0.97/1.37 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ), X ) ) ]
% 0.97/1.37 ,
% 0.97/1.37 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 0.97/1.37 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ), Y ), ~(
% 0.97/1.37 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.97/1.37 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 0.97/1.37 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ), Y ) ),
% 0.97/1.37 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.97/1.37 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.97/1.37 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.97/1.37 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 0.97/1.37 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 0.97/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 0.97/1.37 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 0.97/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.97/1.37 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.97/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.00/1.37 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.37 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 1.00/1.37 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.00/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.00/1.37 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 1.00/1.37 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.00/1.37 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'(
% 1.00/1.37 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ), X ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.00/1.37 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.37 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.37 [ 'c_lessequals'( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ),
% 1.00/1.37 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ) ) ]
% 1.00/1.37 ,
% 1.00/1.37 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.00/1.37 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y ), 'tc_RealDef_Oreal' ) ) ]
% 1.00/1.37 ,
% 1.00/1.37 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 1.00/1.37 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.00/1.37 'c_Transcendental_Oexp'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.37 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.00/1.37 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.00/1.37 'c_HOL_Oinverse__class_Odivide'( 'c_RealVector_OscaleR__class_OscaleR'( Y
% 1.00/1.37 , Z, X ), T, X ), 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 1.00/1.37 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.00/1.37 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.00/1.37 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 1.00/1.37 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.00/1.37 [ 'c_HOL_Oord__class_Oless'( 'c_Log_Opowr'( X, Y ), 'c_Log_Opowr'( X, Z
% 1.00/1.37 ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( Y, Z,
% 1.00/1.37 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.37 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) )
% 1.00/1.37 ],
% 1.00/1.37 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 1.00/1.37 'c_HOL_Oord__class_Oless'( 'c_Log_Opowr'( Z, X ), 'c_Log_Opowr'( Z, Y ),
% 1.00/1.37 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.37 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' ) )
% 1.00/1.37 ],
% 1.00/1.37 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 1.00/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 1.00/1.37 , Z, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_Log_Opowr'(
% 1.00/1.37 Z, X ), 'c_Log_Opowr'( Z, Y ), 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.37 [ 'c_HOL_Oord__class_Oless'( 'c_Log_Opowr'( X, Y ), 'c_Log_Opowr'( X, Z
% 1.00/1.37 ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.37 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) )
% 1.00/1.37 , ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.00/1.37 , X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.00/1.37 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.00/1.37 ,
% 1.00/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 1.00/1.37 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.00/1.37 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 1.00/1.37 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.00/1.37 , 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 1.00/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.00/1.37 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.37 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.37 [ 'c_lessequals'( 'c_Log_Opowr'( X, Y ), 'c_Log_Opowr'( X, Z ),
% 1.00/1.37 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, Z, 'tc_RealDef_Oreal' ) ),
% 1.00/1.37 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 1.00/1.37 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.37 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.00/1.37 'c_Log_Opowr'( Z, X ), 'c_Log_Opowr'( Z, Y ), 'tc_RealDef_Oreal' ) ), ~(
% 1.00/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 1.00/1.37 , Z, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.00/1.37 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.00/1.37 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.37 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.00/1.37 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.37 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_lessequals'(
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.37 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.00/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.37 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.00/1.37 ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.37 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.00/1.37 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.00/1.37 ) ],
% 1.00/1.37 [ ~( 'class_RealVector_Oreal__field'( X ) ), =(
% 1.00/1.37 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ominus__class_Ominus'(
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.37 , U, X ), X ), W, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.37 'c_HOL_Ominus__class_Ominus'( Z, U, X ), W, X ), X ),
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.37 'c_HOL_Ominus__class_Ominus'( Y, T, X ), W, X ), U, X ), X ) ) ],
% 1.00/1.37 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.00/1.37 'c_Divides_Odiv__class_Omod'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), Z
% 1.00/1.37 , X ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 1.00/1.37 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.00/1.37 'c_Divides_Odiv__class_Odiv'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 1.00/1.37 , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.00/1.37 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'(
% 1.00/1.37 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, U,
% 1.00/1.37 X ), X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'(
% 1.00/1.37 'c_HOL_Ominus__class_Ominus'( Y, T, X ), X ), 'c_HOL_Oabs__class_Oabs'(
% 1.00/1.37 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ), X ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.00/1.37 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 1.00/1.37 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.00/1.37 , ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.00/1.37 [ =( 'c_Log_Opowr'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.00/1.37 'tc_RealDef_Oreal' ), Z ), 'c_HOL_Otimes__class_Otimes'( 'c_Log_Opowr'( X
% 1.00/1.37 , Z ), 'c_Log_Opowr'( Y, Z ), 'tc_RealDef_Oreal' ) ), ~(
% 1.00/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.00/1.37 ), Y, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.00/1.37 ) ],
% 1.00/1.37 [ =( 'c_Log_Opowr'( X, 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) )
% 1.00/1.37 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.37 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.37 [ ~( =( 'c_Log_Opowr'( X, 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 1.00/1.37 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.37 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ],
% 1.00/1.37 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Oarctan'( X ),
% 1.00/1.37 'c_Transcendental_Oarctan'( Y ), 'tc_RealDef_Oreal' ), ~(
% 1.00/1.37 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.00/1.37 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.00/1.37 ,
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.00/1.37 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.00/1.37 ,
% 1.00/1.37 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.00/1.37 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.00/1.37 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.00/1.37 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 1.00/1.37 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.00/1.37 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.00/1.37 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.00/1.37 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 1.00/1.37 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.00/1.37 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.00/1.37 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.00/1.37 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 1.00/1.37 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.00/1.37 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.00/1.37 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.00/1.37 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 1.00/1.37 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.00/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.00/1.37 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.00/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.37 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), X ) ) ],
% 1.00/1.37 [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), =(
% 1.00/1.37 'c_HOL_Osgn__class_Osgn'( 'c_RealVector_Oof__real'( Y, X ), X ),
% 1.00/1.37 'c_RealVector_Oof__real'( 'c_HOL_Osgn__class_Osgn'( Y, 'tc_RealDef_Oreal'
% 1.00/1.37 ), X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.00/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.00/1.37 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.00/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Z, T, X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.00/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.00/1.37 , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.00/1.37 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.00/1.37 'c_HOL_Oone__class_Oone'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X )
% 1.00/1.37 , X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.00/1.37 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ),
% 1.00/1.37 'c_HOL_Oabs__class_Oabs'( Y, X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 1.00/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.00/1.37 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.00/1.37 W, X ) ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.37 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z, X ), T, X ), W ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =(
% 1.00/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.00/1.37 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ),
% 1.00/1.37 W, X ) ) ), =( T, 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 1.00/1.37 , X ), W, X ) ) ],
% 1.00/1.37 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.00/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z
% 1.00/1.37 , X ), 'c_Divides_Odiv__class_Omod'( Y, Z, X ), X ), T, X ),
% 1.00/1.37 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ],
% 1.00/1.37 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.00/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( Y, 'c_Divides_Odiv__class_Odiv'( Z, Y, X )
% 1.00/1.37 , X ), 'c_Divides_Odiv__class_Omod'( Z, Y, X ), X ), T, X ),
% 1.00/1.37 'c_HOL_Oplus__class_Oplus'( Z, T, X ) ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.00/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.37 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.37 X ) ) ],
% 1.00/1.37 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.00/1.37 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.00/1.37 , X ), 'c_RealVector_Onorm__class_Onorm'( Y, X ) ) ],
% 1.00/1.37 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.00/1.37 'tc_RealDef_Oreal' ) ), 'c_HOL_Ouminus__class_Ouminus'( 'c_NthRoot_Osqrt'(
% 1.00/1.37 X ), 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.00/1.37 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ),
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( Y,
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 1.00/1.37 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ),
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ) ) ), 'c_lessequals'( Y,
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.00/1.37 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.00/1.37 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 1.00/1.37 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 1.00/1.37 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 1.00/1.37 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 1.00/1.37 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.00/1.37 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 1.00/1.37 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 1.00/1.37 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 1.00/1.37 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 1.00/1.37 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.00/1.37 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 1.00/1.37 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 1.00/1.37 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 1.00/1.37 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 1.00/1.37 [ ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.37 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.00/1.37 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'c_lessequals'(
% 1.00/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.37 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ),
% 1.00/1.37 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Z, X ), X ),
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.37 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( T, X ),
% 1.00/1.37 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Z, X ), X ), X )
% 1.00/1.37 , 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.37 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( Y, X ),
% 1.00/1.37 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( U, X ), X ), X )
% 1.00/1.37 , 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.37 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( T, X ),
% 1.00/1.37 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( U, X ), X ), X )
% 1.00/1.37 , 'c_HOL_Otimes__class_Otimes'( W, V0, X ), X ), ~( 'c_lessequals'( V0, Z
% 1.00/1.37 , X ) ), ~( 'c_lessequals'( U, V0, X ) ), ~( 'c_lessequals'( W, T, X ) )
% 1.00/1.37 , ~( 'c_lessequals'( Y, W, X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.37 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 1.00/1.37 X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.37 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 1.00/1.37 X ) ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.00/1.37 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 1.00/1.37 X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.00/1.37 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.37 ), X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.00/1.37 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.37 ), X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( Z,
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.00/1.37 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.37 ), X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.37 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( Y,
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.00/1.37 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.37 ), X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), =(
% 1.00/1.37 'c_Power_Opower__class_Opower'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z
% 1.00/1.37 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'(
% 1.00/1.37 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'( X ), X ), Z, X
% 1.00/1.37 ), 'c_Power_Opower__class_Opower'( Y, Z, X ), X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 1.00/1.37 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.37 Z, X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 1.00/1.37 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.00/1.37 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.00/1.37 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 1.00/1.37 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.00/1.37 'c_lessequals'( Z, Y, X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 1.00/1.37 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.37 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 1.00/1.37 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.00/1.37 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.00/1.37 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 1.00/1.37 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.00/1.37 'c_lessequals'( Z, Y, X ) ) ],
% 1.00/1.37 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.37 'c_HOL_Oinverse__class_Oinverse'( X, 'tc_RealDef_Oreal' ), Y,
% 1.00/1.37 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.37 'c_HOL_Oinverse__class_Oinverse'( Z, 'tc_RealDef_Oreal' ), T,
% 1.00/1.37 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ),
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( X, T, 'tc_RealDef_Oreal' ),
% 1.00/1.37 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 1.00/1.37 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.37 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.00/1.37 'c_HOL_Oplus__class_Oplus'( Y,
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.37 Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ) ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.00/1.37 'c_HOL_Oplus__class_Oplus'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.37 Y, Z, X ), T, X ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.37 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 1.00/1.37 X ), X ) ) ],
% 1.00/1.37 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.00/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Y, X ), Y ) ],
% 1.00/1.37 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.00/1.37 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 1.00/1.37 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.00/1.37 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.00/1.37 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 1.00/1.37 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.00/1.37 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Opi', 'v_x',
% 1.00/1.37 'tc_RealDef_Oreal' ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.00/1.37 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.00/1.37 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 1.00/1.37 ) ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.00/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.00/1.37 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.00/1.37 ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.37 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.00/1.37 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.00/1.37 ) ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.00/1.37 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.00/1.37 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 1.00/1.37 ) ) ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =(
% 1.00/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.00/1.37 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.00/1.37 ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.37 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.00/1.37 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.00/1.37 ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.00/1.37 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 1.00/1.37 ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.37 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.00/1.37 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 1.00/1.37 ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.37 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.00/1.37 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.00/1.37 ) ) ],
% 1.00/1.37 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 1.00/1.37 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 1.00/1.37 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Oof__real'( Y, X ), Z, X ) )
% 1.00/1.37 ],
% 1.00/1.37 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.00/1.37 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.00/1.37 Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X )
% 1.00/1.37 , 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 1.00/1.37 [ ~( 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Opi',
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.00/1.37 ],
% 1.00/1.37 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.00/1.37 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.00/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.00/1.37 , X ), 'c_lessequals'( Z, Y, X ) ],
% 1.00/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 1.00/1.37 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 1.00/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 1.00/1.37 , X ), 'c_lessequals'( Y, Y, X ) ],
% 1.00/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.00/1.37 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.00/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.00/1.37 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 1.00/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.00/1.37 , X ), 'c_lessequals'( Z, Y, X ) ],
% 1.00/1.37 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.00/1.37 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.00/1.37 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 1.00/1.37 , Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.00/1.37 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.00/1.37 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.00/1.37 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.38 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.00/1.38 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.38 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.00/1.38 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.00/1.38 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.00/1.38 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ],
% 1.00/1.38 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.00/1.38 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.00/1.38 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.38 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 1.00/1.38 ), X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.00/1.38 ), X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 1.00/1.38 ), X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.00/1.38 ), X ) ) ],
% 1.00/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.00/1.38 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 1.00/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.00/1.38 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.00/1.38 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 1.00/1.38 T, Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 1.00/1.38 ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.00/1.38 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.00/1.38 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.00/1.38 , T, X ) ) ), =( Z, T ) ],
% 1.00/1.38 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.00/1.38 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 1.00/1.38 , T, X ) ) ), =( Y, Z ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.00/1.38 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_lessequals'( Y,
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.00/1.38 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 1.00/1.38 X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.00/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.00/1.38 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.38 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 1.00/1.38 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.00/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.00/1.38 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_lessequals'( Y,
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.00/1.38 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.38 ), X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.00/1.38 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.00/1.38 , T, X ), X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.00/1.38 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.38 , Z, X ), X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.38 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X
% 1.00/1.38 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 1.00/1.38 ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.38 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.38 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.38 X ), T, X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.38 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( T, Z, X
% 1.00/1.38 ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.00/1.38 ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.38 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.38 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.38 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal'
% 1.00/1.38 ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ),
% 1.00/1.38 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Y, Z, 'tc_RealDef_Oreal' ) ),
% 1.00/1.38 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.38 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.38 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( Z, X, 'tc_RealDef_Oreal' ),
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ),
% 1.00/1.38 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 1.00/1.38 ) ],
% 1.00/1.38 [ 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal'
% 1.00/1.38 ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ),
% 1.00/1.38 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X, Z, 'tc_RealDef_Oreal' ) ),
% 1.00/1.38 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.38 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.38 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ),
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_RealDef_Oreal' ),
% 1.00/1.38 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 1.00/1.38 ) ],
% 1.00/1.38 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.00/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.00/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 1.00/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 1.00/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 1.00/1.38 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.00/1.38 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 1.00/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.00/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 1.00/1.38 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.00/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.00/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 1.00/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 1.00/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 1.00/1.38 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.00/1.38 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 1.00/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.00/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.38 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.00/1.38 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 1.00/1.38 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ],
% 1.00/1.38 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.00/1.38 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.00/1.38 Z, X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.38 Y, Z, X ), X ) ) ],
% 1.00/1.38 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.00/1.38 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.38 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.00/1.38 , U, X ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'(
% 1.00/1.38 Y, T, X ), U, X ), X ), 'c_HOL_Otimes__class_Otimes'( T,
% 1.00/1.38 'c_HOL_Ominus__class_Ominus'( Z, U, X ), X ), X ) ) ],
% 1.00/1.38 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.00/1.38 'c_RealVector_OscaleR__class_OscaleR'( Y,
% 1.00/1.38 'c_RealVector_OscaleR__class_OscaleR'( Z, T, X ), X ),
% 1.00/1.38 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.00/1.38 , 'tc_RealDef_Oreal' ), T, X ) ) ],
% 1.00/1.38 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.00/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z ), ~(
% 1.00/1.38 'c_lessequals'( Z, Y, X ) ) ],
% 1.00/1.38 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =(
% 1.00/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ) ),
% 1.00/1.38 'c_lessequals'( Y, Z, X ) ],
% 1.00/1.38 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.00/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ), ~(
% 1.00/1.38 'c_lessequals'( Y, Z, X ) ) ],
% 1.00/1.38 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 1.00/1.38 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ), ~(
% 1.00/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 1.00/1.38 , 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.38 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 1.00/1.38 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~(
% 1.00/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' )
% 1.00/1.38 , X, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.00/1.38 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ),
% 1.00/1.38 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.00/1.38 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.00/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 1.00/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 1.00/1.38 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.00/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 1.00/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =(
% 1.00/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 1.00/1.38 ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.38 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ), U, X ) ) ],
% 1.00/1.38 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.00/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 1.00/1.38 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.38 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.00/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 1.00/1.38 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.38 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.00/1.38 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.00/1.38 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.38 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.00/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 1.00/1.38 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.38 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.00/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.00/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, Z, X ),
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.38 X ), X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.00/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.38 X ), X ) ) ],
% 1.00/1.38 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 1.00/1.38 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.00/1.38 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.00/1.38 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 1.00/1.38 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.00/1.38 X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.00/1.38 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 1.00/1.38 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.00/1.38 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.00/1.38 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 1.00/1.38 , X ), 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.00/1.38 X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.00/1.38 [ ~( =( 'c_Transcendental_Ocos'( 'v_x' ), 'c_HOL_Oone__class_Oone'(
% 1.00/1.38 'tc_RealDef_Oreal' ) ) ), ~( =( 'v_x', 'c_Transcendental_Opi' ) ) ],
% 1.00/1.38 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.00/1.38 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.00/1.38 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.38 'c_HOL_Ominus__class_Ominus'( Y, T, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.00/1.38 , U, X ), X ) ) ],
% 1.00/1.38 [ ~( 'class_RealVector_Oreal__normed__algebra__1'( X ) ), =(
% 1.00/1.38 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.00/1.38 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.00/1.38 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.00/1.38 'tc_RealDef_Oreal' ) ), 'c_HOL_Otimes__class_Otimes'( 'c_NthRoot_Osqrt'(
% 1.00/1.38 X ), 'c_NthRoot_Osqrt'( Y ), 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.00/1.38 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.38 , X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.00/1.38 ,
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.00/1.38 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.38 , X ) ) ],
% 1.00/1.38 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), T
% 1.00/1.38 , X ), 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.00/1.38 X ), Z, X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ]
% 1.00/1.38 ,
% 1.00/1.38 [ 'c_lessequals'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.00/1.38 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_NthRoot_Osqrt'( X ),
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.00/1.38 ],
% 1.00/1.38 [ 'c_lessequals'( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.38 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X,
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.00/1.38 ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 1.00/1.38 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 1.00/1.38 ), =( Y, 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 1.00/1.38 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.00/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.00/1.38 'c_HOL_Oone__class_Oone'( X ), X ) ) ],
% 1.00/1.38 [ 'c_HOL_Oord__class_Oless'( 'c_Log_Opowr'( X, Y ), 'c_Log_Opowr'( Z, Y
% 1.00/1.38 ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X, Z,
% 1.00/1.38 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.00/1.38 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.38 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.38 [ 'c_HOL_Oord__class_Oless'( 'c_Log_Opowr'( X, Y ), 'c_Log_Opowr'( Z, Y
% 1.00/1.38 ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( Z, X,
% 1.00/1.38 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 1.00/1.38 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.38 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.00/1.38 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'( Y, Z, X ), X )
% 1.00/1.38 , 'c_Power_Opower__class_Opower'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X
% 1.00/1.38 ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.00/1.38 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Power_Opower__class_Opower'( Y
% 1.00/1.38 , Z, X ), 'c_Power_Opower__class_Opower'( T, Z, X ), X ), ~(
% 1.00/1.38 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.00/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T, X
% 1.00/1.38 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 1.00/1.38 'c_HOL_Ominus__class_Ominus'( T, Y, X ), X ), Z, X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.38 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 1.00/1.38 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) )
% 1.00/1.38 ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.38 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X )
% 1.00/1.38 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.00/1.38 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 1.00/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.00/1.38 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.38 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X,
% 1.00/1.38 'c_HOL_Oinverse__class_Oinverse'( Y, 'tc_RealDef_Oreal' ),
% 1.00/1.38 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Z,
% 1.00/1.38 'c_HOL_Oinverse__class_Oinverse'( T, 'tc_RealDef_Oreal' ),
% 1.00/1.38 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( T, X, 'tc_RealDef_Oreal' ),
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_RealDef_Oreal' ),
% 1.00/1.38 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), T, 'tc_RealDef_Oreal' )
% 1.00/1.38 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.38 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.38 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.00/1.38 'c_Divides_Odiv__class_Odiv'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), Z
% 1.00/1.38 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.38 [ ~( 'class_Divides_Oring__div'( X ) ), ~( =(
% 1.00/1.38 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 1.00/1.38 , Z, X ) ) ), =( 'c_Divides_Odiv__class_Omod'(
% 1.00/1.38 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ),
% 1.00/1.38 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ouminus__class_Ouminus'( T, X ), Z,
% 1.00/1.38 X ) ) ],
% 1.00/1.38 [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ), =(
% 1.00/1.38 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X
% 1.00/1.38 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_RealVector_Onorm__class_Onorm'(
% 1.00/1.38 Y, X ), 'c_RealVector_Onorm__class_Onorm'( Z, X ), 'tc_RealDef_Oreal' ) )
% 1.00/1.38 ],
% 1.00/1.38 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.00/1.38 'c_lessequals'( 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'(
% 1.00/1.38 Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.00/1.38 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.00/1.38 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.00/1.38 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.38 'c_Divides_Odiv__class_Omod'( Y, T, X ), 'c_Divides_Odiv__class_Omod'( Z
% 1.00/1.38 , T, X ), X ), T, X ) ) ],
% 1.00/1.38 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.00/1.38 Y, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'(
% 1.00/1.38 Y, Z, X ), X ) ) ],
% 1.00/1.38 [ =( 'c_Log_Opowr'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.00/1.38 ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.38 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.00/1.38 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), T, X ),
% 1.00/1.38 'c_HOL_Oplus__class_Oplus'( Z, 'c_Divides_Odiv__class_Odiv'( Y, T, X ), X
% 1.00/1.38 ) ), =( T, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.38 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.00/1.38 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), Z, X ),
% 1.00/1.38 'c_HOL_Oplus__class_Oplus'( T, 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), X
% 1.00/1.38 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.00/1.38 ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.00/1.38 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.00/1.38 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 1.00/1.38 , Y, X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.00/1.38 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.38 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 1.00/1.38 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.38 , Z, X ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.00/1.38 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.00/1.38 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 1.00/1.38 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.38 , Z, X ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.00/1.38 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.00/1.38 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.00/1.38 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X
% 1.00/1.38 ), X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 1.00/1.38 ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.00/1.38 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ),
% 1.00/1.38 ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X
% 1.00/1.38 ), X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.00/1.38 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.38 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.00/1.38 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.38 , T, X ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.00/1.38 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.38 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.00/1.38 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.38 , T, X ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.00/1.38 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.38 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.00/1.38 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.00/1.38 Z, X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.00/1.38 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 1.00/1.38 X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.38 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 1.00/1.38 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 1.00/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.00/1.38 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.00/1.38 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ],
% 1.00/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.00/1.38 'c_lessequals'( Y, 'c_HOL_Oabs__class_Oabs'( Y, X ), X ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.00/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), T
% 1.00/1.38 , X ), U, X ), W, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), U, X
% 1.00/1.38 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, T, X ),
% 1.00/1.38 W, X ), X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.00/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 1.00/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 1.00/1.38 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Y, U, X ), Z
% 1.00/1.38 , X ), T, X ), W, X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.00/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( Z, T, X ), U
% 1.00/1.38 , X ), W, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, U, X ), Y, X
% 1.00/1.38 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, U, X ),
% 1.00/1.38 W, X ), X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ),
% 1.00/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ),
% 1.00/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( U, Z, X ), W, X
% 1.00/1.38 ), X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 1.00/1.38 , X ), W, X ), X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 1.00/1.38 , X ) ) ],
% 1.00/1.38 [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 1.00/1.38 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 1.00/1.38 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 1.00/1.38 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 1.00/1.38 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( U, Y, X ), Z, X
% 1.00/1.38 ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( W, T, X ),
% 1.00/1.38 Z, X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.00/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.38 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 1.00/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.00/1.38 ,
% 1.00/1.38 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.00/1.38 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.00/1.38 ), =( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z ) ],
% 1.00/1.38 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.00/1.38 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.00/1.38 ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ],
% 1.00/1.38 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.00/1.38 'c_Power_Opower__class_Opower'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 1.00/1.38 T, X ), 'c_Divides_Odiv__class_Odiv'( 'c_Power_Opower__class_Opower'( Y,
% 1.00/1.38 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ), ~(
% 1.00/1.38 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.00/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.00/1.38 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.38 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.00/1.38 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 1.00/1.38 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.00/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 1.00/1.38 ,
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.00/1.38 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 1.00/1.38 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.00/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 1.00/1.38 ,
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.00/1.38 'c_HOL_Oabs__class_Oabs'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'( Y, Y
% 1.00/1.38 , X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.00/1.38 'c_HOL_Oinverse__class_Oinverse'( 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.00/1.38 ), X ), 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'(
% 1.00/1.38 Y, X ), Z, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.00/1.38 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.00/1.38 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 1.00/1.38 Y, X ), X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.38 [ ~( 'class_Divides_Osemiring__div'( X ) ), ~( =(
% 1.00/1.38 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 1.00/1.38 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 1.00/1.38 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 1.00/1.38 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( U, Y, X ), Z
% 1.00/1.38 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( W, T,
% 1.00/1.38 X ), Z, X ) ) ],
% 1.00/1.38 [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.00/1.38 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.00/1.38 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) )
% 1.00/1.38 ],
% 1.00/1.38 [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X,
% 1.00/1.38 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'(
% 1.00/1.38 'tc_RealDef_Oreal' ), 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ]
% 1.00/1.38 ,
% 1.00/1.38 [ 'c_lessequals'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.00/1.38 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'(
% 1.00/1.38 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) )
% 1.00/1.38 ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.00/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.00/1.38 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 1.00/1.38 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.38 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.38 ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.00/1.38 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.00/1.38 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ), X ) ]
% 1.00/1.38 ,
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.00/1.38 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'(
% 1.00/1.38 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ),
% 1.00/1.38 'c_HOL_Oabs__class_Oabs'( 'c_Power_Opower__class_Opower'( Y, Z, X ), X )
% 1.00/1.38 ) ],
% 1.00/1.38 [ =( 'c_Log_Opowr'( 'c_Log_Opowr'( X, Y ), Z ), 'c_Log_Opowr'( X,
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_RealDef_Oreal' ) ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X
% 1.00/1.38 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.00/1.38 'c_HOL_Oone__class_Oone'( X ), X ), Z, X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.38 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X
% 1.00/1.38 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Z,
% 1.00/1.38 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 1.00/1.38 [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ),
% 1.00/1.38 'c_lessequals'( 'c_RealVector_Onorm__class_Onorm'(
% 1.00/1.38 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ),
% 1.00/1.38 'c_HOL_Oinverse__class_Oinverse'( Z, 'tc_RealDef_Oreal' ),
% 1.00/1.38 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, 'tc_RealDef_Oreal' )
% 1.00/1.38 ), ~( 'c_lessequals'( Z, 'c_RealVector_Onorm__class_Onorm'( Y, X ),
% 1.00/1.38 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.38 [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ),
% 1.00/1.38 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~(
% 1.00/1.38 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oone__class_Oone'(
% 1.00/1.38 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.38 [ 'c_HOL_Oord__class_Oless'( X, 'c_HOL_Oone__class_Oone'(
% 1.00/1.38 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.38 'c_NthRoot_Osqrt'( X ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.00/1.38 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.38 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.00/1.38 'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oabs__class_Oabs'( Y, X ), Z, X ),
% 1.00/1.38 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) )
% 1.00/1.38 , ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.00/1.38 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'(
% 1.00/1.38 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.00/1.38 X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.00/1.38 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 1.00/1.38 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.00/1.38 Z, X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.00/1.38 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.00/1.38 Z, X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.00/1.38 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 1.00/1.38 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oabs__class_Oabs'( Z, X
% 1.00/1.38 ), X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.00/1.38 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oabs__class_Oabs'( Z, X
% 1.00/1.38 ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 1.00/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.00/1.38 , Y, X ) ) ],
% 1.00/1.38 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 1.00/1.38 , X ) ) ],
% 1.00/1.38 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.38 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.00/1.38 , Y, X ) ) ],
% 1.00/1.38 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.00/1.38 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.00/1.38 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.00/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.00/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ), Y ) ],
% 1.00/1.38 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.00/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.38 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.00/1.38 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.38 X ), X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.00/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.00/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.38 [ ~( 'class_Divides_Oring__div'( X ) ), ~( =(
% 1.00/1.38 'c_Divides_Odiv__class_Omod'( Y, Z, X ), 'c_Divides_Odiv__class_Omod'( T
% 1.00/1.38 , Z, X ) ) ), ~( =( 'c_Divides_Odiv__class_Omod'( U, Z, X ),
% 1.00/1.38 'c_Divides_Odiv__class_Omod'( W, Z, X ) ) ), =(
% 1.00/1.38 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( U, Y, X ), Z
% 1.00/1.38 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ominus__class_Ominus'( W, T,
% 1.00/1.38 X ), Z, X ) ) ],
% 1.00/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.38 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.00/1.38 ,
% 1.00/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.38 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.00/1.38 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.38 , X ) ) ],
% 1.00/1.38 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.00/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.00/1.38 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.38 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.00/1.38 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.00/1.38 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.00/1.38 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 1.00/1.38 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.38 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.00/1.38 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.00/1.38 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.00/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ), ~(
% 1.00/1.38 'c_lessequals'( Y, Z, X ) ) ],
% 1.00/1.38 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =(
% 1.00/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ) ),
% 1.00/1.38 'c_lessequals'( Y, Z, X ) ],
% 1.00/1.38 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.00/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Y ), ~(
% 1.00/1.38 'c_lessequals'( Z, Y, X ) ) ],
% 1.00/1.38 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.00/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.00/1.38 'c_HOL_Oplus__class_Oplus'( Z, Y, X ), X ), Z ) ],
% 1.00/1.38 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.00/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.00/1.38 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), Z ) ],
% 1.00/1.38 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'(
% 1.00/1.38 'tc_RealDef_Oreal' ), 'c_HOL_Oinverse__class_Oinverse'( X,
% 1.00/1.38 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.38 X, 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.00/1.38 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.38 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.38 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.00/1.38 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.00/1.38 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 1.00/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.00/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.00/1.38 ,
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.00/1.38 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.00/1.38 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.00/1.38 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.00/1.38 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.00/1.38 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.00/1.38 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.38 [ ~( 'class_RealVector_Oreal__div__algebra'( X ) ), =(
% 1.00/1.38 'c_RealVector_Oof__real'( 'c_HOL_Oinverse__class_Oinverse'( Y,
% 1.00/1.38 'tc_RealDef_Oreal' ), X ), 'c_HOL_Oinverse__class_Oinverse'(
% 1.00/1.38 'c_RealVector_Oof__real'( Y, X ), X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.38 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.00/1.38 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.00/1.38 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 1.00/1.38 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 1.00/1.38 , X ) ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.38 [ =( 'c_Transcendental_Ocos'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.00/1.38 'tc_RealDef_Oreal' ) ), 'c_Transcendental_Ocos'( X ) ) ],
% 1.00/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 1.00/1.38 , X ) ) ],
% 1.00/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.38 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.38 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.38 , X ) ) ],
% 1.00/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 1.00/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.00/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.38 'c_HOL_Oone__class_Oone'( X ), X ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.00/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.00/1.38 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.00/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 1.00/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.00/1.38 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.00/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.00/1.38 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.00/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 1.00/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.00/1.38 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.00/1.38 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.00/1.38 'c_Log_Opowr'( X, Y ), 'tc_RealDef_Oreal' ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.00/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.38 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 1.00/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.00/1.38 ,
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.38 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 1.00/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.00/1.38 ,
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.00/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.38 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.00/1.38 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.00/1.38 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.00/1.38 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.00/1.38 'c_Divides_Odiv__class_Omod'( Z, T, X ), X ), T, X ) ) ],
% 1.00/1.38 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.00/1.38 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.00/1.38 , X ), 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.38 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z, X ), T, X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Z,
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Y,
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.38 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.00/1.38 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 1.00/1.38 T, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.38 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 1.00/1.38 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 1.00/1.38 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.00/1.38 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 1.00/1.38 T, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.38 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 1.00/1.38 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ), X ) ) ],
% 1.00/1.38 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.00/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 1.00/1.38 'c_HOL_Ouminus__class_Ouminus'(
% 1.00/1.38 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.38 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.00/1.38 , X ), X ), X ) ) ],
% 1.00/1.38 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.00/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 1.00/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 1.00/1.38 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.00/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 1.00/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 1.00/1.38 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.00/1.38 'c_HOL_Ouminus__class_Ouminus'(
% 1.00/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 1.00/1.38 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.38 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.00/1.38 , X ), X ) ) ],
% 1.00/1.38 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 1.00/1.38 'c_HOL_Ouminus__class_Ouminus'(
% 1.00/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 1.00/1.38 'c_Lattices_Oupper__semilattice__class_Osup'(
% 1.00/1.38 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.00/1.38 , X ), X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.00/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.00/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.38 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.00/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.00/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.00/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.00/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.38 [ 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.00/1.38 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Y,
% 1.00/1.38 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.00/1.38 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.00/1.38 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.00/1.38 , Z ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( T, X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.38 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.00/1.38 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 1.00/1.38 'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ), =( Z,
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.38 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.00/1.38 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 1.00/1.38 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ), =( Y,
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.38 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 1.00/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.00/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 1.00/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 1.00/1.38 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.00/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 1.00/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 1.00/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 1.00/1.38 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 1.00/1.38 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.00/1.38 'c_Transcendental_Oexp'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ),
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( 'c_Transcendental_Oexp'( Y, X ),
% 1.00/1.38 'c_Transcendental_Oexp'( Z, X ), X ) ) ],
% 1.00/1.38 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 1.00/1.38 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'( Y )
% 1.00/1.38 , 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.38 [ 'c_HOL_Oord__class_Oless'( 'c_NthRoot_Osqrt'( X ), 'c_NthRoot_Osqrt'(
% 1.00/1.38 Y ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'( X, Y,
% 1.00/1.38 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.00/1.38 , T, X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.38 Y, T, X ), Z, X ) ) ],
% 1.00/1.38 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'(
% 1.00/1.38 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ),
% 1.00/1.38 'tc_RealDef_Oreal' ), 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ]
% 1.00/1.38 ,
% 1.00/1.38 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( Y, 'c_Divides_Odiv__class_Odiv'( Z, Y, X )
% 1.00/1.38 , X ), Z ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 1.00/1.38 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z
% 1.00/1.38 , X ), Y ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 1.00/1.38 [ ~( 'class_RealVector_Ometric__space'( X ) ), =( Y, Z ), ~(
% 1.00/1.38 'c_lessequals'( 'c_RealVector_Odist__class_Odist'( Y, Z, X ),
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) )
% 1.00/1.38 ],
% 1.00/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.00/1.38 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.00/1.38 ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.00/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.00/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.00/1.38 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.00/1.38 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.00/1.38 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.00/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.00/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.00/1.38 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.00/1.38 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.00/1.38 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.00/1.38 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.00/1.38 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.00/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.00/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.00/1.38 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.00/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.00/1.38 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.00/1.38 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.38 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.38 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.38 X ), T, X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.00/1.38 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.38 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.38 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.38 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.00/1.38 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( X, Z,
% 1.00/1.38 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.38 Y, Z, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.00/1.38 ) ],
% 1.00/1.38 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.00/1.38 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Z, Y,
% 1.00/1.38 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.38 X, Z, 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Y, 'tc_RealDef_Oreal' )
% 1.00/1.38 ) ],
% 1.00/1.38 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_RealDef_Oreal' ), ~(
% 1.00/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( X, Z,
% 1.00/1.38 'tc_RealDef_Oreal' ), 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.00/1.38 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ), ~(
% 1.00/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.00/1.38 ), Z, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.38 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.00/1.38 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 1.00/1.38 ), X ), 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'(
% 1.00/1.38 Z, Y, X ), X ) ) ],
% 1.00/1.38 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.00/1.38 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 1.00/1.38 X ), 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ],
% 1.00/1.38 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.00/1.38 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), Z, X ),
% 1.00/1.38 'c_Divides_Odiv__class_Omod'( Y, Z, X ) ) ],
% 1.00/1.38 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.00/1.38 'c_Divides_Odiv__class_Omod'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), T, X ),
% 1.00/1.38 'c_Divides_Odiv__class_Omod'( Y, T, X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.00/1.38 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T,
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 1.00/1.38 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, T
% 1.00/1.38 , X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.00/1.38 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T,
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 1.00/1.38 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( T, Y
% 1.00/1.38 , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.00/1.38 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~( 'c_lessequals'(
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.00/1.38 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( Z,
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( Y,
% 1.00/1.38 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.00/1.38 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~( 'c_lessequals'( Y,
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.00/1.38 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'( Z,
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.00/1.38 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ],
% 1.00/1.38 [ =( 'c_Fun_Oid'( X, Y ), X ) ],
% 1.00/1.38 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.00/1.38 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 1.00/1.38 ), Y ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.00/1.38 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 1.00/1.38 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 1.00/1.38 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.00/1.38 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.00/1.38 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 1.00/1.38 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 1.00/1.38 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.00/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 1.00/1.38 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), T, X ), ~(
% 1.00/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.00/1.38 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Z, T, X )
% 1.00/1.38 , Y, X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.00/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 1.00/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Z, X ) ), ~(
% 1.00/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.00/1.38 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.00/1.38 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.00/1.38 ), Y ) ],
% 1.00/1.38 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 1.00/1.38 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.00/1.38 ) ) ],
% 1.00/1.38 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 1.00/1.38 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.00/1.38 ) ) ],
% 1.00/1.38 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 1.00/1.38 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.00/1.38 ), Y ) ],
% 1.00/1.38 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.00/1.38 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.00/1.38 ), Y ) ],
% 1.00/1.38 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.00/1.38 'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 1.00/1.38 ],
% 1.00/1.38 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.00/1.38 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.00/1.38 X ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ) ],
% 1.00/1.38 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.00/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.00/1.38 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 1.00/1.38 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.00/1.38 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.00/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.00/1.38 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.38 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.00/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 1.00/1.38 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 1.00/1.38 , X ) ) ],
% 1.00/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 1.00/1.38 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 1.00/1.38 , X ) ) ],
% 1.00/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 1.00/1.38 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.00/1.38 , X ) ) ],
% 1.00/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 1.00/1.38 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.00/1.38 , X ) ) ],
% 1.00/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.38 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 1.00/1.38 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 1.00/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.38 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 1.00/1.38 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 1.00/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.38 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 1.00/1.38 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.00/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.38 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 1.00/1.38 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.38 [ ~( 'class_RealVector_Oreal__vector'( X ) ), ~( =(
% 1.00/1.38 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 1.00/1.38 'c_RealVector_OscaleR__class_OscaleR'( T, Z, X ) ) ), =( Z,
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, T ) ],
% 1.00/1.38 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.00/1.38 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.38 , X ), 'c_RealVector_OscaleR__class_OscaleR'( Z,
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~( =(
% 1.00/1.38 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.00/1.38 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.38 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), =(
% 1.00/1.38 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.38 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.00/1.38 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 1.00/1.38 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.38 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.00/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 1.00/1.38 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.38 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.38 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.00/1.38 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Osgn__if'( X ) ), =(
% 1.00/1.38 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.38 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.00/1.38 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.00/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.38 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.00/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 1.00/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.00/1.38 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.00/1.38 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 1.00/1.38 ,
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 1.00/1.38 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 1.00/1.38 Y, T, X ) ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X
% 1.00/1.38 ), Y, X ) ), =( Z, T ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.00/1.38 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.00/1.38 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.00/1.38 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.00/1.38 'c_HOL_Oone__class_Oone'( X ), X ) ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 1.00/1.38 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 1.00/1.38 X ), X ) ) ],
% 1.00/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.00/1.38 'c_lessequals'( 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ominus__class_Ominus'( Y
% 1.00/1.38 , Z, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X
% 1.00/1.38 ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ), X ) ],
% 1.00/1.38 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.00/1.38 'c_HOL_Osgn__class_Osgn'( 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X
% 1.00/1.38 ), X ), 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Osgn__class_Osgn'(
% 1.00/1.38 Y, 'tc_RealDef_Oreal' ), 'c_HOL_Osgn__class_Osgn'( Z, X ), X ) ) ],
% 1.00/1.38 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) )
% 1.00/1.38 , 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.00/1.38 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.38 Y, 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.38 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.00/1.38 Z, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'(
% 1.00/1.38 Z, X ), X ) ) ],
% 1.00/1.38 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.00/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.00/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 1.00/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 1.00/1.38 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.00/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.00/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 1.00/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 1.00/1.38 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.00/1.38 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ), Y ), ~(
% 1.00/1.38 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.38 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 1.00/1.38 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( Y, X ), Y ) ),
% 1.00/1.38 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.00/1.38 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.00/1.38 'c_Divides_Odiv__class_Omod'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ), T
% 1.00/1.38 , X ), 'c_Divides_Odiv__class_Omod'( Y, T, X ) ), ~(
% 1.00/1.38 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.00/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.38 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 1.00/1.38 ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.38 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 1.00/1.38 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.00/1.38 ) ],
% 1.00/1.38 [ =( 'c_Transcendental_Otan'( 'c_Transcendental_Opi' ),
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.38 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.00/1.38 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.00/1.38 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.38 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.00/1.38 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 1.00/1.38 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =(
% 1.00/1.38 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =(
% 1.00/1.38 'c_HOL_Oabs__class_Oabs'( Y, X ), Y ), 'c_HOL_Oord__class_Oless'( Y,
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ],
% 1.00/1.38 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.00/1.38 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.00/1.38 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 1.00/1.38 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.00/1.38 X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.00/1.38 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.00/1.38 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.00/1.38 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 1.00/1.38 Z, T, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.00/1.38 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.00/1.38 , X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 1.00/1.38 'c_Ring__and__Field_Odvd__class_Odvd'( Z, U, X ) ), ~(
% 1.00/1.38 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 1.00/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.00/1.38 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Oplus__class_Oplus'(
% 1.00/1.38 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ), X ),
% 1.00/1.38 X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oabs__class_Oabs'( Y, X ),
% 1.00/1.38 'c_HOL_Oabs__class_Oabs'( Z, X ), X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 1.00/1.38 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.00/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.00/1.38 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ]
% 1.00/1.38 ,
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.00/1.38 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 1.00/1.38 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.00/1.38 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 1.00/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 1.00/1.38 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.00/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~(
% 1.00/1.38 'c_lessequals'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ]
% 1.00/1.38 ,
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.00/1.38 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.00/1.38 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.00/1.38 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ),
% 1.00/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.00/1.38 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.00/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Y, X ), Y ) ],
% 1.00/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 1.00/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.38 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ) ]
% 1.00/1.38 ,
% 1.00/1.38 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.00/1.38 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.00/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.38 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.00/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.38 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.00/1.38 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.38 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 1.00/1.38 X ), X ) ) ],
% 1.00/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.00/1.38 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.00/1.38 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.38 Z, T, X ) ) ],
% 1.00/1.38 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.00/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.00/1.38 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.38 Z, T, X ) ) ],
% 1.00/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.00/1.38 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.38 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 1.00/1.38 X ), X ) ) ],
% 1.00/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.00/1.38 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.00/1.38 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.38 Y, T, X ) ) ],
% 1.00/1.38 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.00/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.00/1.38 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.38 Y, T, X ) ) ],
% 1.00/1.38 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 1.00/1.38 ,
% 1.00/1.38 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 1.00/1.38 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( Z, Y,
% 1.00/1.38 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( X, Z, 'tc_RealDef_Oreal' ) ) ]
% 1.00/1.38 ,
% 1.00/1.38 [ 'c_lessequals'( X, X, 'tc_RealDef_Oreal' ) ],
% 1.00/1.38 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.00/1.38 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 1.00/1.38 , X ) ) ],
% 1.00/1.38 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.00/1.38 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 1.00/1.38 , X ) ) ],
% 1.00/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.38 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~(
% 1.00/1.38 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y,
% 1.00/1.38 'c_HOL_Oplus__class_Oplus'( Z, U, X ), X ) ) ],
% 1.00/1.38 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.00/1.38 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.00/1.38 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.00/1.38 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.38 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.00/1.38 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 1.00/1.38 ) ) ],
% 1.00/1.38 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.00/1.38 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 1.00/1.38 ) ) ],
% 1.00/1.38 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.00/1.38 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.00/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.00/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.00/1.38 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.38 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.00/1.38 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.00/1.38 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y
% 1.00/1.38 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.38 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.00/1.38 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z
% 1.00/1.38 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.38 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 1.00/1.38 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.00/1.38 'c_Transcendental_Oexp'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ),
% 1.00/1.38 'c_HOL_Oinverse__class_Oinverse'( 'c_Transcendental_Oexp'( Y, X ), X ) )
% 1.00/1.38 ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.00/1.38 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.00/1.38 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.38 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 1.00/1.38 , Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.38 ) ],
% 1.00/1.38 [ =( 'c_Log_Opowr'( 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), X )
% 1.00/1.38 , 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.38 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.00/1.38 'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Omod'( Y, Z, X ),
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z
% 1.00/1.38 , X ), X ), Y ) ],
% 1.00/1.38 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( Y,
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.00/1.38 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.38 Z, 'c_RealVector_Onorm__class_Onorm'( T, X ), 'tc_RealDef_Oreal' ),
% 1.00/1.38 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.38 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =(
% 1.00/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.38 ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.38 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.38 , Y, X ), X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.38 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.00/1.38 , T, X ), X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.38 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( Z, T, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.00/1.38 , T, X ), X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.00/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.38 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.38 , Y, X ), X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.00/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.00/1.38 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oabs__class_Oabs'(
% 1.00/1.38 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), X ), T, X ) ) ],
% 1.00/1.38 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.00/1.38 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.00/1.38 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'(
% 1.00/1.38 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ),
% 1.00/1.38 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.38 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ),
% 1.00/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.00/1.38 ), 'c_HOL_Otimes__class_Otimes'( X, X, 'tc_RealDef_Oreal' ),
% 1.00/1.38 'tc_RealDef_Oreal' ) ],
% 1.00/1.38 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.00/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 1.00/1.38 'c_HOL_Ouminus__class_Ouminus'(
% 1.00/1.38 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.00/1.38 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.00/1.38 , X ), X ), X ) ) ],
% 1.00/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.00/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.38 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.00/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.00/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.38 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.38 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.00/1.38 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.38 'tc_RealDef_Oreal' ), 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 1.00/1.38 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.00/1.38 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), =( U,
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.38 ), =( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.00/1.38 , U, X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( U,
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 1.00/1.38 , U, X ), 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ],
% 1.00/1.38 [ ~( 'class_RealVector_Oreal__normed__div__algebra'( X ) ), =(
% 1.00/1.38 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 1.00/1.38 'c_HOL_Osgn__class_Osgn'( Z, X ), X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.00/1.38 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ),
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Osgn__class_Osgn'( Y, X ),
% 1.00/1.38 'c_HOL_Osgn__class_Osgn'( Z, X ), X ) ) ],
% 1.00/1.38 [ ~( 'class_RealVector_Odist__norm'( X ) ), =(
% 1.00/1.38 'c_RealVector_Odist__class_Odist'( Y, Z, X ),
% 1.00/1.38 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X
% 1.00/1.38 ), X ) ) ],
% 1.00/1.38 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.00/1.38 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( Y, 'c_Divides_Odiv__class_Omod'( Z, T, X )
% 1.00/1.38 , X ) ) ],
% 1.00/1.38 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.00/1.38 'c_Divides_Odiv__class_Omod'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Omod'( Y, T, X ), Z
% 1.00/1.38 , X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.00/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.00/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 1.00/1.38 ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.00/1.38 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 1.00/1.38 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.00/1.38 ],
% 1.00/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.00/1.38 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oabs__class_Oabs'(
% 1.00/1.38 Y, X ), X ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.38 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y, X ),
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.38 [ =( 'c_HOL_Osgn__class_Osgn'( X, 'tc_RealDef_Oreal' ),
% 1.00/1.38 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ), ~(
% 1.00/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.00/1.38 ), X, 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.00/1.38 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ), ~(
% 1.00/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.00/1.38 ,
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.00/1.38 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ),
% 1.00/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ],
% 1.00/1.38 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Oinverse__class_Oinverse'( X,
% 1.00/1.38 'tc_RealDef_Oreal' ) ), 'c_HOL_Oinverse__class_Oinverse'(
% 1.00/1.38 'c_NthRoot_Osqrt'( X ), 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.00/1.38 'c_HOL_Oabs__class_Oabs'( Y, X ), 'c_HOL_Oabs__class_Oabs'( Z, X ) ) ),
% 1.00/1.38 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ],
% 1.00/1.38 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.00/1.38 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 1.00/1.38 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 1.00/1.38 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.00/1.38 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.00/1.38 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 1.00/1.38 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.00/1.38 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.00/1.38 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.00/1.38 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.00/1.38 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.00/1.38 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.00/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.00/1.38 'c_lessequals'( Z, Y, X ) ],
% 1.00/1.38 [ 'c_lessequals'( X, Y, 'tc_RealDef_Oreal' ), 'c_lessequals'( Y, X,
% 1.00/1.38 'tc_RealDef_Oreal' ) ],
% 1.00/1.38 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.00/1.38 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.00/1.38 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 1.00/1.38 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.38 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.38 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.38 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.38 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.00/1.38 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.38 , X ) ],
% 1.00/1.38 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.00/1.38 'c_Divides_Odiv__class_Omod'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.38 ) ],
% 1.00/1.38 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.00/1.38 'c_Divides_Odiv__class_Omod'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.00/1.38 ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.00/1.38 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 1.00/1.38 ), X ), Y ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( Y,
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 1.00/1.38 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 1.00/1.38 , X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.38 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.00/1.38 ,
% 1.00/1.38 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), ~( =(
% 1.00/1.38 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y ) ), =( Y,
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.38 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.00/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.38 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 1.00/1.38 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.00/1.38 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ), =( Z,
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.38 ) ],
% 1.00/1.38 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.00/1.38 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'(
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.00/1.38 ,
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~(
% 1.00/1.38 =( 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.38 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.00/1.38 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.00/1.38 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.00/1.38 ), ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.38 ) ) ],
% 1.00/1.38 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.00/1.38 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.00/1.38 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 1.00/1.38 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.38 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.38 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.38 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z,
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.38 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.00/1.38 'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.38 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.00/1.38 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.38 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 1.00/1.38 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.00/1.38 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.38 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.00/1.38 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.38 ) ],
% 1.00/1.38 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.00/1.38 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.38 ) ],
% 1.00/1.38 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.00/1.38 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 1.00/1.38 ) ],
% 1.00/1.38 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.00/1.38 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.38 ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.00/1.38 X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y, X ),
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.00/1.38 X ) ), ~( =( Y, 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ), =( Z,
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.38 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.00/1.38 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'(
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.00/1.38 ,
% 1.00/1.38 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.00/1.38 'c_Divides_Odiv__class_Omod'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.38 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.00/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.00/1.38 ,
% 1.00/1.38 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =(
% 1.00/1.38 'c_HOL_Oabs__class_Oabs'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.38 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 1.00/1.38 ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ],
% 1.00/1.38 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.00/1.38 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.38 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.38 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.00/1.38 'c_RealVector_OscaleR__class_OscaleR'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.38 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.38 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.00/1.38 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.38 ) ), =( Y, Z ) ],
% 1.00/1.38 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.00/1.38 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.00/1.38 ) ), =( Y, Z ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.00/1.38 X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.00/1.38 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.00/1.38 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.38 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.00/1.38 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.00/1.38 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.00/1.38 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.00/1.38 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.38 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.00/1.38 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.00/1.38 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.00/1.38 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.00/1.38 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.38 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~( =(
% 1.00/1.38 'c_HOL_Osgn__class_Osgn'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.00/1.38 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.38 [ ~( 'class_SEQ_Obanach'( X ) ), ~(
% 1.00/1.38 'class_RealVector_Oreal__normed__field'( X ) ), ~( =(
% 1.00/1.38 'c_Transcendental_Oexp'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ]
% 1.00/1.38 ,
% 1.00/1.38 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 1.00/1.38 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 1.00/1.38 ],
% 1.00/1.38 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 1.00/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.00/1.38 ],
% 1.00/1.38 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.00/1.38 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 1.00/1.38 ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.00/1.38 X ) ), =( Y, 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.38 ), X ) ) ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.00/1.38 ],
% 1.00/1.38 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.00/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.00/1.38 ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.38 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 1.00/1.38 ],
% 1.00/1.38 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.00/1.38 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.00/1.38 ],
% 1.00/1.38 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.00/1.38 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Osgn__class_Osgn'(
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.38 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.38 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ),
% 1.00/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.00/1.38 ), 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'tc_RealDef_Oreal' ), =( Y
% 1.00/1.38 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.38 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.00/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.00/1.38 ), 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.00/1.38 ), 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.38 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), 'c_lessequals'(
% 1.00/1.38 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ]
% 1.00/1.38 ,
% 1.00/1.38 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =( Y,
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.00/1.38 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.38 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.38 [ ~( 'class_RealVector_Oreal__vector'( X ) ), ~( =(
% 1.00/1.38 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 1.00/1.38 'c_RealVector_OscaleR__class_OscaleR'( Y, T, X ) ) ), =( Y,
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), =( Z, T ) ],
% 1.00/1.38 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.00/1.38 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.38 'tc_RealDef_Oreal' ), Y, X ), 'c_RealVector_OscaleR__class_OscaleR'(
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), Z, X ) ) ],
% 1.00/1.38 [ =( 'c_HOL_Osgn__class_Osgn'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.38 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.38 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.38 [ ~( =( 'c_Log_Opowr'( X, Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.38 'tc_RealDef_Oreal' ) ) ) ],
% 1.00/1.38 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_RealDef_Oreal' ) ) ), =( Y,
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), =( X, Z ) ],
% 1.00/1.38 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_RealDef_Oreal' ),
% 1.00/1.38 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_RealDef_Oreal' ) ) ), =( X,
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ), =( Y, Z ) ],
% 1.00/1.38 [ =( 'c_Transcendental_Otan'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.38 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.00/1.38 ) ],
% 1.00/1.38 [ ~( =( 'c_NthRoot_Osqrt'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.38 'tc_RealDef_Oreal' ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.38 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.38 [ ~( =( 'c_Transcendental_Opi', 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.38 'tc_RealDef_Oreal' ) ) ) ],
% 1.00/1.38 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.00/1.38 'c_HOL_Oone__class_Oone'( 'tc_RealDef_Oreal' ) ) ) ],
% 1.00/1.38 [ =( 'c_NthRoot_Osqrt'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.00/1.38 ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.38 [ =( 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.38 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.38 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.38 [ =( 'c_Transcendental_Oarctan'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.38 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.00/1.38 ) ],
% 1.00/1.38 [ =( 'c_NthRoot_Oroot'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.38 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.00/1.38 ) ],
% 1.00/1.38 [ ~( 'class_RealVector_Ometric__space'( X ) ), =(
% 1.00/1.38 'c_RealVector_Odist__class_Odist'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.38 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.38 [ ~( 'class_RealVector_Ometric__space'( X ) ), ~( =(
% 1.00/1.38 'c_RealVector_Odist__class_Odist'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.38 'tc_RealDef_Oreal' ) ) ), =( Y, Z ) ],
% 1.00/1.38 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( 't_a' ) ), =(
% 1.00/1.38 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt'( 'v_x', 't_a' ),
% 1.00/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( 'v_x',
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( 't_a' ), 't_a' ) ) ],
% 1.00/1.38 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( 't_a' ) ), =(
% 1.00/1.38 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt'( 'v_x', 't_a' ),
% 1.00/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( 'v_x',
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( 't_a' ), 't_a' ) ) ],
% 1.00/1.38 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.38 'tc_RealDef_Oreal' ), 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' )
% 1.00/1.38 , ~( 'c_HOL_Oord__class_Oless'( X, 'c_Transcendental_Opi',
% 1.00/1.38 'tc_RealDef_Oreal' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.00/1.38 ) ],
% 1.00/1.38 [ ~( =( 'c_Transcendental_Ocos'( X ), 'c_HOL_Oone__class_Oone'(
% 1.00/1.38 'tc_RealDef_Oreal' ) ) ), =( 'c_Transcendental_Osin'( X ),
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.38 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ),
% 1.00/1.38 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' ), ~( 'c_lessequals'( X
% 1.00/1.38 , 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ), ~( 'c_lessequals'(
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X, 'tc_RealDef_Oreal' )
% 1.00/1.38 ) ],
% 1.00/1.38 [ =( 'c_Transcendental_Osin'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 1.00/1.38 'tc_RealDef_Oreal' ) ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.00/1.38 'c_Transcendental_Osin'( X ), 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.38 [ =( 'c_Fun_Oid'( 'v_x', 't_a' ), 'v_x' ) ],
% 1.00/1.38 [ ~( =( 'c_Transcendental_Osin'( 'v_x' ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.38 'tc_RealDef_Oreal' ) ) ), ~( 'c_HOL_Oord__class_Oless'( 'v_x',
% 1.00/1.38 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ), ~(
% 1.00/1.38 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.00/1.38 ), 'v_x', 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.38 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.00/1.38 'c_RealVector_Onorm__class_Onorm'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.38 [ ~( 'class_RealVector_Oreal__vector'( X ) ), ~( =(
% 1.00/1.38 'c_RealVector_OscaleR__class_OscaleR'( Y, Z, X ),
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 1.00/1.38 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.38 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), ~( =(
% 1.00/1.38 'c_RealVector_Oof__real'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.00/1.38 =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.38 [ ~( 'class_RealVector_Oreal__algebra__1'( X ) ), =(
% 1.00/1.38 'c_RealVector_Oof__real'( 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal'
% 1.00/1.38 ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.38 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~(
% 1.00/1.38 'class_RealVector_Oreal__algebra__1'( X ) ), =( 'c_RealVector_Oof__real'(
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ), X ),
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.38 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), ~( =(
% 1.00/1.38 'c_RealVector_Onorm__class_Onorm'( Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.38 'tc_RealDef_Oreal' ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.38 [ ~( 'class_RealVector_Oreal__normed__vector'( X ) ), =(
% 1.00/1.38 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.38 'tc_RealDef_Oreal' ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.38 [ ~( 'class_RealVector_Oreal__vector'( X ) ), =(
% 1.00/1.38 'c_RealVector_OscaleR__class_OscaleR'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.38 'tc_RealDef_Oreal' ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.00/1.38 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.38 'tc_RealDef_Oreal' ), 'v_x', 'tc_RealDef_Oreal' ) ],
% 1.00/1.38 [ =( 'c_Transcendental_Osin'( 'c_Transcendental_Opi' ),
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.38 [ =( 'c_Transcendental_Osin'( 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.38 'tc_RealDef_Oreal' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' )
% 1.00/1.38 ) ],
% 1.00/1.38 [ ~( =( 'c_Transcendental_Osin'( 'c_HOL_Ominus__class_Ominus'( 'v_x',
% 1.00/1.38 'c_Transcendental_Opi', 'tc_RealDef_Oreal' ) ),
% 1.00/1.38 'c_HOL_Ozero__class_Ozero'( 'tc_RealDef_Oreal' ) ) ) ],
% 1.00/1.38 [ 'c_HOL_Oord__class_Oless'( 'v_x', 'c_HOL_Otimes__class_Otimes'(
% 1.00/1.38 'c_Int_Onumber__class_Onumber__of'( 'c_Int_OBit0'( 'c_Int_OBit1'(
% 1.00/1.38 'c_Int_OPls' ) ), 'tc_RealDef_Oreal' ), 'c_Transcendental_Opi',
% 1.00/1.38 'tc_RealDef_Oreal' ), 'tc_RealDef_Oreal' ) ],
% 1.00/1.38 [ 'c_HOL_Oord__class_Oless'( 'c_Transcendental_Opi', 'v_x',
% 1.00/1.38 'tc_RealDef_Oreal' ) ],
% 1.00/1.38 [ =( 'c_Transcendental_Osin'( 'v_x' ), 'c_HOL_Ozero__class_Ozero'(
% 1.00/1.38 'tc_RealDef_Oreal' ) ) ],
% 1.00/1.38 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 1.00/1.38 ],
% 1.00/1.38 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 1.00/1.38 ) ],
% 1.00/1.38 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 1.00/1.38 ],
% 1.00/1.38 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_nat' ) ]
% 1.00/1.38 ,
% 1.00/1.38 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 1.00/1.38 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 1.00/1.38 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 1.00/1.38 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 1.00/1.38 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 1.00/1.38 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' ) ],
% 1.00/1.38 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_nat' ) ],
% 1.00/1.38 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 1.00/1.38 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 1.00/1.38 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 1.00/1.38 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 1.00/1.38 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 1.00/1.38 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 1.00/1.38 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 1.00/1.38 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 1.00/1.38 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 1.00/1.38 [ 'class_Lattices_Oupper__semilattice'( 'tc_nat' ) ],
% 1.00/1.38 [ 'class_Lattices_Olower__semilattice'( 'tc_nat' ) ],
% 1.00/1.38 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_nat' ) ],
% 1.00/1.38 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 1.00/1.38 [ 'class_Ring__and__Field_Omult__mono'( 'tc_nat' ) ],
% 1.00/1.38 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 1.00/1.38 [ 'class_Lattices_Odistrib__lattice'( 'tc_nat' ) ],
% 1.00/1.38 [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 1.00/1.38 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 1.00/1.38 [ 'class_Divides_Osemiring__div'( 'tc_nat' ) ],
% 1.00/1.38 [ 'class_Ring__and__Field_Odvd'( 'tc_nat' ) ],
% 1.00/1.38 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 1.00/1.38 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 1.00/1.38 [ 'class_Lattices_Olattice'( 'tc_nat' ) ],
% 1.00/1.38 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 1.00/1.38 [ 'class_Power_Opower'( 'tc_nat' ) ],
% 1.00/1.38 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 1.00/1.38 'tc_RealDef_Oreal' ) ],
% 1.00/1.38 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 1.00/1.38 'tc_RealDef_Oreal' ) ],
% 1.00/1.38 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 1.00/1.38 'tc_RealDef_Oreal' ) ],
% 1.00/1.38 [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 1.00/1.38 'tc_RealDef_Oreal' ) ],
% 1.00/1.38 [ 'class_OrderedGroup_Olordered__ab__group__add__meet'(
% 1.00/1.38 'tc_RealDef_Oreal' ) ],
% 1.00/1.38 [ 'class_OrderedGroup_Olordered__ab__group__add__join'(
% 1.00/1.38 'tc_RealDef_Oreal' ) ],
% 1.00/1.38 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 1.00/1.38 'tc_RealDef_Oreal' ) ],
% 1.00/1.38 [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 1.00/1.38 'tc_RealDef_Oreal' ) ],
% 1.00/1.38 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_RealDef_Oreal'
% 1.00/1.38 ) ],
% 1.00/1.38 [ 'class_OrderedGroup_Opordered__ab__group__add__abs'(
% 1.00/1.38 'tc_RealDef_Oreal' ) ],
% 1.00/1.38 [ 'class_OrderedGroup_Olordered__ab__group__add__abs'(
% 1.00/1.38 'tc_RealDef_Oreal' ) ],
% 1.00/1.38 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_RealDef_Oreal'
% 1.00/1.38 ) ],
% 1.00/1.38 [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_RealDef_Oreal'
% 1.00/1.38 ) ],
% 1.00/1.38 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_RealDef_Oreal' )
% 1.00/1.38 ],
% 1.00/1.38 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_RealDef_Oreal' )
% 1.00/1.38 ],
% 1.00/1.38 [ 'class_RealVector_Oreal__normed__div__algebra'( 'tc_RealDef_Oreal' ) ]
% 1.00/1.38 ,
% 1.00/1.38 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 1.00/1.38 ,
% 1.00/1.38 [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 1.00/1.38 ,
% 1.00/1.38 [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_RealDef_Oreal' ) ]
% 1.00/1.38 ,
% 1.00/1.38 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_RealDef_Oreal' ) ]
% 1.00/1.38 ,
% 1.00/1.38 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_RealDef_Oreal' ) ]
% 1.00/1.38 ,
% 1.00/1.38 [ 'class_Ring__and__Field_Opordered__ring__abs'( 'tc_RealDef_Oreal' ) ]
% 1.00/1.38 ,
% 1.00/1.38 [ 'class_RealVector_Oreal__normed__algebra__1'( 'tc_RealDef_Oreal' ) ]
% 1.00/1.38 ,
% 1.00/1.38 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_RealDef_Oreal' ) ]
% 1.00/1.38 ,
% 1.00/1.38 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_RealDef_Oreal' ) ]
% 1.00/1.38 ,
% 1.00/1.38 [ 'class_Ring__and__Field_Odivision__by__zero'( 'tc_RealDef_Oreal' ) ]
% 1.00/1.38 ,
% 1.00/1.38 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_RealDef_Oreal' ) ]
% 1.00/1.38 ,
% 1.00/1.38 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_RealDef_Oreal' ) ]
% 1.00/1.38 ,
% 1.00/1.38 [ 'class_RealVector_Oreal__normed__algebra'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.38 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.38 [ 'class_RealVector_Oreal__normed__vector'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.38 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.38 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.38 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.38 [ 'class_Ring__and__Field_Oordered__field'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.38 [ 'class_Ring__and__Field_Olordered__ring'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.38 [ 'class_Ring__and__Field_Odivision__ring'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.38 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.38 [ 'class_RealVector_Oreal__normed__field'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.38 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.38 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.38 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.38 [ 'class_RealVector_Oreal__div__algebra'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.38 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.38 [ 'class_Lattices_Oupper__semilattice'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.38 [ 'class_Lattices_Olower__semilattice'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.38 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.38 [ 'class_RealVector_Oreal__algebra__1'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.38 [ 'class_OrderedGroup_Oab__group__add'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.38 [ 'class_Ring__and__Field_Omult__zero'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.38 [ 'class_Ring__and__Field_Omult__mono'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.38 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.38 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.38 [ 'class_Lattices_Odistrib__lattice'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.38 [ 'class_Ring__and__Field_Osemiring'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.38 [ 'class_RealVector_Osgn__div__norm'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.38 [ 'class_RealVector_Oreal__algebra'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.38 [ 'class_RealVector_Ometric__space'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.38 [ 'class_OrderedGroup_Omonoid__add'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.38 [ 'class_RealVector_Oreal__vector'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.38 [ 'class_OrderedGroup_Ogroup__add'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.38 [ 'class_Ring__and__Field_Osgn__if'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.38 [ 'class_Ring__and__Field_Oring__1'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.38 [ 'class_Ring__and__Field_Oabs__if'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.38 [ 'class_RealVector_Oreal__field'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.38 [ 'class_Ring__and__Field_Ofield'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.38 [ 'class_RealVector_Odist__norm'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.38 [ 'class_Ring__and__Field_Oring'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.38 [ 'class_Ring__and__Field_Oidom'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.38 [ 'class_Ring__and__Field_Odvd'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.38 [ 'class_Orderings_Opreorder'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.38 [ 'class_Orderings_Olinorder'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.38 [ 'class_Lattices_Olattice'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.38 [ 'class_Orderings_Oorder'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.38 [ 'class_Int_Onumber__ring'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.38 [ 'class_Power_Opower'( 'tc_RealDef_Oreal' ) ],
% 1.00/1.38 [ 'class_SEQ_Obanach'( 'tc_RealDef_Oreal' ) ]
% 1.00/1.38 ] .
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 percentage equality = 0.216312, percentage horn = 0.869604
% 1.00/1.38 This is a problem with some equality
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38
% 1.00/1.38 Options Used:
% 1.00/1.38
% 1.00/1.38 useres = 1
% 1.00/1.38 useparamod = 1
% 1.00/1.38 useeqrefl = 1
% 1.00/1.38 useeqfact = 1
% 1.00/1.38 usefactor = 1
% 1.00/1.38 usesimpsplitting = 0
% 1.00/1.38 usesimpdemod = 5
% 1.00/1.38 usesimpres = 3
% 1.00/1.38
% 1.00/1.38 resimpinuse = 1000
% 1.00/1.38 resimpclauses = 20000
% 1.00/1.38 substype = eqrewr
% 1.00/1.38 backwardsubs = 1
% 1.00/1.38 selectoldest = 5
% 1.00/1.38
% 1.00/1.38 litorderings [0] = split
% 1.00/1.38 litorderings [1] = extend the termordering, first sorting on arguments
% 1.00/1.38
% 1.00/1.38 termordering = kbo
% 1.00/1.38
% 1.00/1.38 litapriori = 0
% 1.00/1.38 termapriori = 1
% 1.00/1.38 litaposteriori = 0
% 1.00/1.38 termaposteriori = 0
% 1.00/1.38 demodaposteriori = 0
% 1.00/1.38 ordereqreflfact = 0
% 1.00/1.38
% 1.00/1.38 litselect = negord
% 1.00/1.38
% 1.00/1.38 maxweight = 15
% 1.00/1.38 maxdepth = 30000
% 1.00/1.38 maxlength = 115
% 1.00/1.38 maxnrvars = 195
% 1.00/1.38 excuselevel = 1
% 1.00/1.38 increasemaxweight = 1
% 1.00/1.38
% 1.00/1.38 maxselected = 10000000
% 1.00/1.38 maxnrclauses = 10000000
% 1.00/1.38
% 1.00/1.38 showgenerated = 0
% 1.00/1.38 showkept = 0
% 1.00/1.38 showselected = 0
% 1.00/1.38 showdeleted = 0
% 1.00/1.38 showresimp = 1
% 1.00/1.38 showstatus = 2000
% 1.00/1.38
% 1.00/1.38 prologoutput = 1
% 1.00/1.38 nrgoals = 5000000
% 1.00/1.38 totalproof = 1
% 1.00/1.38
% 1.00/1.38 Symbols occurring in the translation:
% 1.00/1.38
% 1.00/1.38 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.00/1.38 . [1, 2] (w:1, o:152, a:1, s:1, b:0),
% 1.00/1.38 ! [4, 1] (w:0, o:57, a:1, s:1, b:0),
% 1.00/1.38 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.00/1.38 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.00/1.38 'class_Divides_Osemiring__div' [40, 1] (w:1, o:63, a:1, s:1, b:0),
% 1.00/1.38 'c_Divides_Odiv__class_Odiv' [43, 3] (w:1, o:190, a:1, s:1, b:0),
% 1.00/1.38 'c_HOL_Otimes__class_Otimes' [44, 3] (w:1, o:191, a:1, s:1, b:0),
% 1.00/1.38 'c_Divides_Odiv__class_Omod' [45, 3] (w:1, o:192, a:1, s:1, b:0),
% 1.00/1.38 'c_HOL_Oplus__class_Oplus' [46, 3] (w:1, o:194, a:1, s:1, b:0),
% 1.00/1.38 'class_Ring__and__Field_Odvd' [47, 1] (w:1, o:68, a:1, s:1, b:0),
% 1.00/1.38 'class_Ring__and__Field_Ocomm__ring' [48, 1] (w:1, o:64, a:1, s:1, b:
% 1.00/1.38 0),
% 1.00/1.38 'c_Ring__and__Field_Odvd__class_Odvd' [52, 3] (w:1, o:195, a:1, s:1
% 1.00/1.38 , b:0),
% 1.00/1.38 'c_HOL_Ominus__class_Ominus' [55, 3] (w:1, o:196, a:1, s:1, b:0),
% 1.00/1.38 'class_OrderedGroup_Ocomm__monoid__mult' [57, 1] (w:1, o:69, a:1, s:1
% 1.00/1.38 , b:0),
% 1.00/1.38 'c_Power_Opower__class_Opower' [59, 3] (w:1, o:197, a:1, s:1, b:0),
% 1.00/1.38 'class_Ring__and__Field_Ocomm__semiring__1' [60, 1] (w:1, o:66, a:1
% 1.00/1.38 , s:1, b:0),
% 1.00/1.38 'class_OrderedGroup_Opordered__ab__group__add' [63, 1] (w:1, o:71, a:
% 1.00/1.38 1, s:1, b:0),
% 1.00/1.38 'c_lessequals' [66, 3] (w:1, o:198, a:1, s:1, b:0),
% 1.00/1.38 'c_HOL_Oord__class_Oless' [67, 3] (w:1, o:193, a:1, s:1, b:0),
% 1.00/1.38 'class_RealVector_Oreal__algebra__1' [68, 1] (w:1, o:72, a:1, s:1, b:
% 1.00/1.38 0),
% 1.00/1.38 'tc_RealDef_Oreal' [69, 0] (w:1, o:39, a:1, s:1, b:0),
% 1.00/1.38 'c_RealVector_Oof__real' [70, 2] (w:1, o:178, a:1, s:1, b:0),
% 1.00/1.38 'class_Ring__and__Field_Odivision__ring' [71, 1] (w:1, o:73, a:1, s:1
% 1.00/1.38 , b:0),
% 1.00/1.38 'class_Ring__and__Field_Odivision__by__zero' [72, 1] (w:1, o:74, a:1
% 1.00/1.38 , s:1, b:0),
% 1.00/1.38 'c_HOL_Oinverse__class_Oinverse' [73, 2] (w:1, o:179, a:1, s:1, b:0)
% 1.00/1.38 ,
% 1.00/1.38 'class_Ring__and__Field_Oordered__semiring__strict' [74, 1] (w:1, o:
% 1.00/1.38 77, a:1, s:1, b:0),
% 1.00/1.38 'c_HOL_Ozero__class_Ozero' [75, 1] (w:1, o:78, a:1, s:1, b:0),
% 1.00/1.38 'class_RealVector_Osgn__div__norm' [76, 1] (w:1, o:88, a:1, s:1, b:0)
% 1.00/1.38 ,
% 1.00/1.38 'c_HOL_Osgn__class_Osgn' [77, 2] (w:1, o:180, a:1, s:1, b:0),
% 1.00/1.38 'c_RealVector_Onorm__class_Onorm' [78, 2] (w:1, o:177, a:1, s:1, b:0)
% 1.00/1.38 ,
% 1.00/1.38 'c_RealVector_OscaleR__class_OscaleR' [79, 3] (w:1, o:199, a:1, s:1
% 1.00/1.38 , b:0),
% 1.00/1.38 'class_OrderedGroup_Oab__semigroup__idem__mult' [80, 1] (w:1, o:89
% 1.00/1.38 , a:1, s:1, b:0),
% 1.00/1.38 'class_Ring__and__Field_Oordered__field' [81, 1] (w:1, o:90, a:1, s:1
% 1.00/1.38 , b:0),
% 1.00/1.38 'c_HOL_Oinverse__class_Odivide' [82, 3] (w:1, o:200, a:1, s:1, b:0),
% 1.00/1.38
% 1.00/1.38 'class_RealVector_Ometric__space' [83, 1] (w:1, o:91, a:1, s:1, b:0)
% 1.00/1.38 ,
% 1.00/1.38 'c_RealVector_Odist__class_Odist' [84, 3] (w:1, o:201, a:1, s:1, b:0)
% 1.00/1.38 ,
% 1.00/1.38 'class_Lattices_Oupper__semilattice' [85, 1] (w:1, o:92, a:1, s:1, b:
% 1.00/1.38 0),
% 1.00/1.38 'c_Lattices_Oupper__semilattice__class_Osup' [87, 3] (w:1, o:202, a:1
% 1.00/1.38 , s:1, b:0),
% 1.00/1.38 'c_HOL_Oone__class_Oone' [88, 1] (w:1, o:93, a:1, s:1, b:0),
% 1.00/1.38 'class_RealVector_Oreal__vector' [89, 1] (w:1, o:79, a:1, s:1, b:0),
% 1.00/1.38
% 1.00/1.38 'class_Ring__and__Field_Oordered__ring__strict' [90, 1] (w:1, o:76
% 1.00/1.38 , a:1, s:1, b:0),
% 1.00/1.38 'class_Ring__and__Field_Oidom' [91, 1] (w:1, o:94, a:1, s:1, b:0),
% 1.00/1.38 'class_Int_Onumber__ring' [92, 1] (w:1, o:95, a:1, s:1, b:0),
% 1.00/1.38 'class_OrderedGroup_Olordered__ab__group__add' [94, 1] (w:1, o:96, a:
% 1.00/1.38 1, s:1, b:0),
% 1.00/1.38 'c_OrderedGroup_Olordered__ab__group__add__class_Opprt' [95, 2] (w:1
% 1.00/1.38 , o:182, a:1, s:1, b:0),
% 1.00/1.38 'c_OrderedGroup_Olordered__ab__group__add__class_Onprt' [96, 2] (w:1
% 1.00/1.38 , o:183, a:1, s:1, b:0),
% 1.00/1.38 'c_Log_Opowr' [97, 2] (w:1, o:184, a:1, s:1, b:0),
% 1.00/1.38 'class_Orderings_Olinorder' [98, 1] (w:1, o:97, a:1, s:1, b:0),
% 1.00/1.38 'c_HOL_Ouminus__class_Ouminus' [99, 2] (w:1, o:185, a:1, s:1, b:0),
% 1.00/1.38 'class_Ring__and__Field_Opordered__ring' [100, 1] (w:1, o:102, a:1
% 1.00/1.38 , s:1, b:0),
% 1.00/1.38 'class_Ring__and__Field_Omult__mono' [101, 1] (w:1, o:104, a:1, s:1
% 1.00/1.38 , b:0),
% 1.00/1.38 'class_Ring__and__Field_Omult__mono1' [102, 1] (w:1, o:105, a:1, s:1
% 1.00/1.38 , b:0),
% 1.00/1.38 'class_Ring__and__Field_Ofield' [103, 1] (w:1, o:106, a:1, s:1, b:0)
% 1.00/1.38 ,
% 1.00/1.38 'class_Ring__and__Field_Oordered__semidom' [104, 1] (w:1, o:98, a:1
% 1.00/1.38 , s:1, b:0),
% 1.00/1.38 'class_RealVector_Oreal__normed__field' [105, 1] (w:1, o:80, a:1, s:1
% 1.00/1.38 , b:0),
% 1.00/1.38 'class_RealVector_Oreal__normed__vector' [107, 1] (w:1, o:81, a:1, s:
% 1.00/1.38 1, b:0),
% 1.00/1.38 'c_NthRoot_Osqrt' [108, 1] (w:1, o:107, a:1, s:1, b:0),
% 1.00/1.38 'class_RealVector_Oreal__div__algebra' [109, 1] (w:1, o:82, a:1, s:1
% 1.00/1.38 , b:0),
% 1.00/1.38 'class_Lattices_Odistrib__lattice' [110, 1] (w:1, o:108, a:1, s:1, b:
% 1.00/1.38 0),
% 1.00/1.38 'c_Lattices_Olower__semilattice__class_Oinf' [111, 3] (w:1, o:203, a:
% 1.00/1.38 1, s:1, b:0),
% 1.00/1.38 'class_OrderedGroup_Ogroup__add' [112, 1] (w:1, o:109, a:1, s:1, b:0)
% 1.00/1.38 ,
% 1.00/1.38 'class_OrderedGroup_Opordered__ab__group__add__abs' [113, 1] (w:1, o:
% 1.00/1.38 110, a:1, s:1, b:0),
% 1.00/1.38 'c_HOL_Oabs__class_Oabs' [114, 2] (w:1, o:186, a:1, s:1, b:0),
% 1.00/1.38 'c_Transcendental_Ocos' [115, 1] (w:1, o:111, a:1, s:1, b:0),
% 1.00/1.38 'class_Ring__and__Field_Oordered__idom' [116, 1] (w:1, o:99, a:1, s:1
% 1.00/1.38 , b:0),
% 1.00/1.38 'class_Lattices_Olower__semilattice' [117, 1] (w:1, o:112, a:1, s:1
% 1.00/1.38 , b:0),
% 1.00/1.38 'class_Lattices_Olattice' [118, 1] (w:1, o:113, a:1, s:1, b:0),
% 1.00/1.38 'class_Orderings_Oorder' [119, 1] (w:1, o:114, a:1, s:1, b:0),
% 1.00/1.38 'class_Ring__and__Field_Opordered__cancel__semiring' [120, 1] (w:1
% 1.00/1.38 , o:115, a:1, s:1, b:0),
% 1.00/1.38 'class_RealVector_Oreal__normed__algebra' [121, 1] (w:1, o:83, a:1
% 1.00/1.38 , s:1, b:0),
% 1.00/1.38 'class_Divides_Oring__div' [123, 1] (w:1, o:62, a:1, s:1, b:0),
% 8.17/8.60 'class_OrderedGroup_Oab__semigroup__mult' [124, 1] (w:1, o:116, a:1
% 8.17/8.60 , s:1, b:0),
% 8.17/8.60 'class_Ring__and__Field_Ocomm__semiring' [136, 1] (w:1, o:67, a:1, s:
% 8.17/8.60 1, b:0),
% 8.17/8.60 'c_Transcendental_Otan' [138, 1] (w:1, o:118, a:1, s:1, b:0),
% 8.17/8.60 'c_Transcendental_Osin' [139, 1] (w:1, o:117, a:1, s:1, b:0),
% 8.17/8.60 'class_Ring__and__Field_Oring' [141, 1] (w:1, o:119, a:1, s:1, b:0),
% 8.17/8.60
% 8.17/8.60 'class_Ring__and__Field_Opordered__semiring' [142, 1] (w:1, o:121, a:
% 8.17/8.60 1, s:1, b:0),
% 8.17/8.60 'c_NthRoot_Oroot' [143, 2] (w:1, o:181, a:1, s:1, b:0),
% 8.17/8.60 'class_Lattices_Oboolean__algebra' [144, 1] (w:1, o:122, a:1, s:1, b:
% 8.17/8.60 0),
% 8.17/8.60 'class_Ring__and__Field_Opordered__ring__abs' [145, 1] (w:1, o:120
% 8.17/8.60 , a:1, s:1, b:0),
% 8.17/8.60 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [146, 1]
% 8.17/8.60 (w:1, o:123, a:1, s:1, b:0),
% 8.17/8.60 'class_OrderedGroup_Opordered__ab__semigroup__add' [147, 1] (w:1, o:
% 8.17/8.60 124, a:1, s:1, b:0),
% 8.17/8.60 'c_Transcendental_Opi' [148, 0] (w:1, o:49, a:1, s:1, b:0),
% 8.17/8.60 'class_OrderedGroup_Olordered__ab__group__add__abs' [149, 1] (w:1, o:
% 8.17/8.60 125, a:1, s:1, b:0),
% 8.17/8.60 'class_OrderedGroup_Opordered__comm__monoid__add' [150, 1] (w:1, o:
% 8.17/8.60 126, a:1, s:1, b:0),
% 8.17/8.60 'class_Ring__and__Field_Osgn__if' [151, 1] (w:1, o:130, a:1, s:1, b:0
% 8.17/8.60 ),
% 8.17/8.60 'c_Transcendental_Oarctan' [152, 1] (w:1, o:131, a:1, s:1, b:0),
% 8.17/8.60 'class_OrderedGroup_Oab__group__add' [153, 1] (w:1, o:132, a:1, s:1
% 8.17/8.60 , b:0),
% 8.17/8.60 'class_Ring__and__Field_Ocomm__ring__1' [154, 1] (w:1, o:65, a:1, s:1
% 8.17/8.60 , b:0),
% 8.17/8.60 'class_OrderedGroup_Ocancel__ab__semigroup__add' [155, 1] (w:1, o:133
% 8.17/8.60 , a:1, s:1, b:0),
% 8.17/8.60 'class_OrderedGroup_Ocancel__semigroup__add' [156, 1] (w:1, o:134, a:
% 8.17/8.60 1, s:1, b:0),
% 8.17/8.60 'class_RealVector_Oreal__normed__div__algebra' [157, 1] (w:1, o:84
% 8.17/8.60 , a:1, s:1, b:0),
% 8.17/8.60 'class_RealVector_Oreal__normed__algebra__1' [158, 1] (w:1, o:85, a:1
% 8.17/8.60 , s:1, b:0),
% 8.17/8.60 'class_OrderedGroup_Olordered__ab__group__add__meet' [159, 1] (w:1
% 8.17/8.60 , o:135, a:1, s:1, b:0),
% 8.17/8.60 'class_Ring__and__Field_Oabs__if' [160, 1] (w:1, o:136, a:1, s:1, b:0
% 8.17/8.60 ),
% 8.17/8.60 'class_Ring__and__Field_Oordered__semiring' [161, 1] (w:1, o:100, a:1
% 8.17/8.60 , s:1, b:0),
% 8.17/8.60 'class_OrderedGroup_Ocomm__monoid__add' [163, 1] (w:1, o:137, a:1, s:
% 8.17/8.60 1, b:0),
% 8.17/8.60 'class_Ring__and__Field_Olordered__ring' [164, 1] (w:1, o:103, a:1
% 8.17/8.60 , s:1, b:0),
% 8.17/8.60 'class_SEQ_Obanach' [165, 1] (w:1, o:142, a:1, s:1, b:0),
% 8.17/8.60 'c_Transcendental_Oexp' [166, 2] (w:1, o:187, a:1, s:1, b:0),
% 8.17/8.60 'class_OrderedGroup_Omonoid__mult' [167, 1] (w:1, o:144, a:1, s:1, b:
% 8.17/8.60 0),
% 8.17/8.60 'class_OrderedGroup_Olordered__ab__group__add__join' [168, 1] (w:1
% 8.17/8.60 , o:143, a:1, s:1, b:0),
% 8.17/8.60 'class_RealVector_Oreal__algebra' [169, 1] (w:1, o:86, a:1, s:1, b:0)
% 8.17/8.60 ,
% 8.17/8.60 'class_RealVector_Oreal__field' [175, 1] (w:1, o:87, a:1, s:1, b:0),
% 8.17/8.60
% 8.17/8.60 'class_OrderedGroup_Oordered__ab__group__add' [176, 1] (w:1, o:70, a:
% 8.17/8.60 1, s:1, b:0),
% 8.17/8.60 'class_Ring__and__Field_Oring__1' [178, 1] (w:1, o:127, a:1, s:1, b:0
% 8.17/8.60 ),
% 8.17/8.60 'class_Orderings_Opreorder' [180, 1] (w:1, o:145, a:1, s:1, b:0),
% 8.17/8.60 'v_x' [181, 0] (w:1, o:52, a:1, s:1, b:0),
% 8.17/8.60 'class_OrderedGroup_Oab__semigroup__add' [182, 1] (w:1, o:146, a:1
% 8.17/8.60 , s:1, b:0),
% 8.17/8.60 'class_Ring__and__Field_Osemiring' [183, 1] (w:1, o:138, a:1, s:1, b:
% 8.17/8.60 0),
% 8.17/8.60 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [184, 1]
% 8.17/8.60 (w:1, o:147, a:1, s:1, b:0),
% 8.17/8.60 'class_Ring__and__Field_Oordered__comm__semiring__strict' [185, 1]
% 8.17/8.60 (w:1, o:101, a:1, s:1, b:0),
% 8.17/8.60 'c_Fun_Oid' [186, 2] (w:1, o:188, a:1, s:1, b:0),
% 8.17/8.60 'class_Ring__and__Field_Oring__no__zero__divisors' [187, 1] (w:1, o:
% 8.17/8.60 128, a:1, s:1, b:0),
% 8.17/8.60 'class_Ring__and__Field_Omult__zero' [188, 1] (w:1, o:139, a:1, s:1
% 8.17/8.60 , b:0),
% 8.17/8.60 'class_RealVector_Odist__norm' [191, 1] (w:1, o:140, a:1, s:1, b:0),
% 8.17/8.60
% 8.17/8.60 'class_Ring__and__Field_Ozero__neq__one' [193, 1] (w:1, o:141, a:1
% 8.17/8.60 , s:1, b:0),
% 8.17/8.60 'class_Ring__and__Field_Oring__1__no__zero__divisors' [194, 1] (w:1
% 8.17/8.60 , o:129, a:1, s:1, b:0),
% 8.17/8.60 'class_Ring__and__Field_Ono__zero__divisors' [195, 1] (w:1, o:75, a:1
% 36.55/36.94 , s:1, b:0),
% 36.55/36.94 'class_Power_Opower' [196, 1] (w:1, o:149, a:1, s:1, b:0),
% 36.55/36.94 'class_OrderedGroup_Omonoid__add' [197, 1] (w:1, o:148, a:1, s:1, b:0
% 36.55/36.94 ),
% 36.55/36.94 't_a' [198, 0] (w:1, o:54, a:1, s:1, b:0),
% 36.55/36.94 'c_Int_OPls' [199, 0] (w:1, o:55, a:1, s:1, b:0),
% 36.55/36.94 'c_Int_OBit1' [200, 1] (w:1, o:151, a:1, s:1, b:0),
% 36.55/36.94 'c_Int_OBit0' [201, 1] (w:1, o:150, a:1, s:1, b:0),
% 36.55/36.94 'c_Int_Onumber__class_Onumber__of' [202, 2] (w:1, o:189, a:1, s:1, b:
% 36.55/36.94 0),
% 36.55/36.94 'tc_nat' [203, 0] (w:1, o:56, a:1, s:1, b:0).
% 36.55/36.94
% 36.55/36.94
% 36.55/36.94 Starting Search:
% 36.55/36.94
% 36.55/36.94 Resimplifying inuse:
% 36.55/36.94 Done
% 36.55/36.94
% 36.55/36.94
% 36.55/36.94 Intermediate Status:
% 36.55/36.94 Generated: 3583
% 36.55/36.94 Kept: 2065
% 36.55/36.94 Inuse: 150
% 36.55/36.94 Deleted: 1
% 36.55/36.94 Deletedinuse: 0
% 36.55/36.94
% 36.55/36.94 Resimplifying inuse:
% 36.55/36.94 Done
% 36.55/36.94
% 36.55/36.94 Resimplifying inuse:
% 36.55/36.94 Done
% 36.55/36.94
% 36.55/36.94
% 36.55/36.94 Intermediate Status:
% 36.55/36.94 Generated: 10563
% 36.55/36.94 Kept: 4361
% 36.55/36.94 Inuse: 225
% 36.55/36.94 Deleted: 1
% 36.55/36.94 Deletedinuse: 0
% 36.55/36.94
% 36.55/36.94 Resimplifying inuse:
% 36.55/36.94 Done
% 36.55/36.94
% 36.55/36.94 Resimplifying inuse:
% 36.55/36.94 Done
% 36.55/36.94
% 36.55/36.94
% 36.55/36.94 Intermediate Status:
% 36.55/36.94 Generated: 19730
% 36.55/36.94 Kept: 6415
% 36.55/36.94 Inuse: 275
% 36.55/36.94 Deleted: 1
% 36.55/36.94 Deletedinuse: 0
% 36.55/36.94
% 36.55/36.94 Resimplifying inuse:
% 36.55/36.94 Done
% 36.55/36.94
% 36.55/36.94 Resimplifying inuse:
% 36.55/36.94 Done
% 36.55/36.94
% 36.55/36.94
% 36.55/36.94 Intermediate Status:
% 36.55/36.94 Generated: 27847
% 36.55/36.94 Kept: 8474
% 36.55/36.94 Inuse: 350
% 36.55/36.94 Deleted: 1
% 36.55/36.94 Deletedinuse: 0
% 36.55/36.94
% 36.55/36.94 Resimplifying inuse:
% 36.55/36.94 Done
% 36.55/36.94
% 36.55/36.94
% 36.55/36.94 Intermediate Status:
% 36.55/36.94 Generated: 37984
% 36.55/36.94 Kept: 10896
% 36.55/36.94 Inuse: 405
% 36.55/36.94 Deleted: 1
% 36.55/36.94 Deletedinuse: 0
% 36.55/36.94
% 36.55/36.94 Resimplifying inuse:
% 36.55/36.94 Done
% 36.55/36.94
% 36.55/36.94 Resimplifying inuse:
% 36.55/36.94 Done
% 36.55/36.94
% 36.55/36.94
% 36.55/36.94 Intermediate Status:
% 36.55/36.94 Generated: 44907
% 36.55/36.94 Kept: 13097
% 36.55/36.94 Inuse: 415
% 36.55/36.94 Deleted: 1
% 36.55/36.94 Deletedinuse: 0
% 36.55/36.94
% 36.55/36.94 Resimplifying inuse:
% 36.55/36.94 Done
% 36.55/36.94
% 36.55/36.94 Resimplifying inuse:
% 36.55/36.94 Done
% 36.55/36.94
% 36.55/36.94
% 36.55/36.94 Intermediate Status:
% 36.55/36.94 Generated: 54554
% 36.55/36.94 Kept: 15136
% 36.55/36.94 Inuse: 470
% 36.55/36.94 Deleted: 1
% 36.55/36.94 Deletedinuse: 0
% 36.55/36.94
% 36.55/36.94 Resimplifying inuse:
% 36.55/36.94 Done
% 36.55/36.94
% 36.55/36.94
% 36.55/36.94 Intermediate Status:
% 36.55/36.94 Generated: 66526
% 36.55/36.94 Kept: 17138
% 36.55/36.94 Inuse: 509
% 36.55/36.94 Deleted: 1
% 36.55/36.94 Deletedinuse: 0
% 36.55/36.94
% 36.55/36.94 Resimplifying inuse:
% 36.55/36.94 Done
% 36.55/36.94
% 36.55/36.94 Resimplifying inuse:
% 36.55/36.94 Done
% 36.55/36.94
% 36.55/36.94
% 36.55/36.94 Intermediate Status:
% 36.55/36.94 Generated: 78249
% 36.55/36.94 Kept: 19330
% 36.55/36.94 Inuse: 569
% 36.55/36.94 Deleted: 1
% 36.55/36.94 Deletedinuse: 0
% 36.55/36.94
% 36.55/36.94 Resimplifying inuse:
% 36.55/36.94 Done
% 36.55/36.94
% 36.55/36.94 Resimplifying clauses:
% 36.55/36.94 Done
% 36.55/36.94
% 36.55/36.94 Resimplifying inuse:
% 36.55/36.94 Done
% 36.55/36.94
% 36.55/36.94
% 36.55/36.94 Intermediate Status:
% 36.55/36.94 Generated: 90524
% 36.55/36.94 Kept: 21690
% 36.55/36.94 Inuse: 624
% 36.55/36.94 Deleted: 339
% 36.55/36.94 Deletedinuse: 4
% 36.55/36.94
% 36.55/36.94 Resimplifying inuse:
% 36.55/36.94 Done
% 36.55/36.94
% 36.55/36.94 Resimplifying inuse:
% 36.55/36.94 Done
% 36.55/36.94
% 36.55/36.94
% 36.55/36.94 Intermediate Status:
% 36.55/36.94 Generated: 107471
% 36.55/36.94 Kept: 23699
% 36.55/36.94 Inuse: 643
% 36.55/36.94 Deleted: 339
% 36.55/36.94 Deletedinuse: 4
% 36.55/36.94
% 36.55/36.94 Resimplifying inuse:
% 36.55/36.94 Done
% 36.55/36.94
% 36.55/36.94
% 36.55/36.94 Intermediate Status:
% 36.55/36.94 Generated: 122658
% 36.55/36.94 Kept: 26333
% 36.55/36.94 Inuse: 674
% 36.55/36.94 Deleted: 339
% 36.55/36.94 Deletedinuse: 4
% 36.55/36.94
% 36.55/36.94 Resimplifying inuse:
% 36.55/36.94 Done
% 36.55/36.94
% 36.55/36.94 Resimplifying inuse:
% 36.55/36.94 Done
% 36.55/36.94
% 36.55/36.94
% 36.55/36.94 Intermediate Status:
% 36.55/36.94 Generated: 137740
% 36.55/36.94 Kept: 28601
% 36.55/36.94 Inuse: 694
% 36.55/36.94 Deleted: 339
% 36.55/36.94 Deletedinuse: 4
% 36.55/36.94
% 36.55/36.94 Resimplifying inuse:
% 36.55/36.94 Done
% 36.55/36.94
% 36.55/36.94 Resimplifying inuse:
% 36.55/36.94 Done
% 36.55/36.94
% 36.55/36.94
% 36.55/36.94 Intermediate Status:
% 36.55/36.94 Generated: 150784
% 36.55/36.94 Kept: 30629
% 36.55/36.94 Inuse: 729
% 36.55/36.94 Deleted: 339
% 36.55/36.94 Deletedinuse: 4
% 36.55/36.94
% 36.55/36.94 Resimplifying inuse:
% 36.55/36.94 Done
% 36.55/36.94
% 36.55/36.94 Resimplifying inuse:
% 36.55/36.94 Done
% 36.55/36.94
% 36.55/36.94
% 36.55/36.94 Intermediate Status:
% 36.55/36.94 Generated: 163170
% 36.55/36.94 Kept: 32656
% 36.55/36.94 Inuse: 769
% 36.55/36.94 Deleted: 339
% 36.55/36.94 Deletedinuse: 4
% 36.55/36.94
% 36.55/36.94 Resimplifying inuse:
% 36.55/36.94 Done
% 36.55/36.94
% 36.55/36.94 Resimplifying inuse:
% 36.55/36.94 Done
% 36.55/36.94
% 36.55/36.94
% 36.55/36.94 Intermediate Status:
% 36.55/36.94 Generated: 172861
% 36.55/36.94 Kept: 34691
% 36.55/36.94 Inuse: 809
% 36.55/36.94 Deleted: 339
% 36.55/36.94 Deletedinuse: 4
% 36.55/36.94
% 36.55/36.94 Resimplifying inuse:
% 36.55/36.94 Done
% 36.55/36.94
% 36.55/36.94 Resimplifying inuse:
% 36.55/36.94 Done
% 36.55/36.94
% 36.55/36.94
% 36.55/36.94 Intermediate Status:
% 36.55/36.94 Generated: 185131
% 36.55/36.94 Kept: 36814
% 36.55/36.94 Inuse: 859
% 36.55/36.94 Deleted: 339
% 36.55/36.94 Deletedinuse: 4
% 36.55/36.94
% 36.55/36.94 Resimplifying inuse:
% 36.55/36.94 Done
% 36.55/36.94
% 36.55/36.94 Resimplifying inuse:
% 36.55/36.94 Done
% 36.55/36.94
% 36.55/36.94
% 36.55/36.94 Intermediate Status:
% 36.55/36.94 Generated: 196824
% 36.55/36.94 Kept: 38891
% 36.55/36.94 Inuse: 919
% 36.55/36.94 Deleted: 339
% 36.55/36.94 Deletedinuse: 4
% 36.55/36.94
% 36.55/36.94 Resimplifying inuse:
% 36.55/36.94 Done
% 36.55/36.94
% 36.55/36.94 Resimplifying inuse:
% 36.55/36.94 Done
% 36.55/36.94
% 36.55/36.94 Resimplifying clauses:
% 36.55/36.94 Done
% 36.55/36.94
% 36.55/36.94
% 36.55/36.94 Intermediate Status:
% 36.55/36.94 Generated: 217515
% 36.55/36.94 Kept: 41074
% 36.55/36.94 Inuse: 949
% 36.55/36.94 Deleted: 912
% 36.55/36.94 Deletedinuse: 6
% 36.55/36.94
% 36.55/36.94 Resimplifying inuse:
% 36.55/36.94 Done
% 36.55/36.94
% 36.55/36.94
% 36.55/36.94 Intermediate Status:
% 36.55/36.94 Generated: 229920
% 36.55/36.94 Kept: 43146
% 36.55/36.94 Inuse: 954
% 36.55/36.94 Deleted: 912
% 36.55/36.94 Deletedinuse: 6
% 36.55/36.94
% 36.55/36.94 Resimplifying inuse:
% 36.55/36.94 Done
% 36.55/36.94
% 36.55/36.94
% 36.55/36.94 Intermediate Status:
% 36.55/36.94 Generated: 240964
% 36.55/36.94 Kept: 45169
% 36.55/36.94 Inuse: 964
% 36.55/36.94 Deleted: 912
% 36.55/36.94 Deletedinuse: 6
% 36.55/36.94
% 36.55/36.94 Resimplifying inuse:
% 36.55/36.94 Done
% 36.55/36.94
% 36.55/36.94
% 36.55/36.94 Intermediate Status:
% 36.55/36.94 Generated: 261005
% 36.55/36.94 Kept: 47881
% 36.55/36.94 Inuse: 979
% 36.55/36.94 Deleted: 912
% 76.05/76.49 Deletedinuse: 6
% 76.05/76.49
% 76.05/76.49 Resimplifying inuse:
% 76.05/76.49 Done
% 76.05/76.49
% 76.05/76.49 Resimplifying inuse:
% 76.05/76.49 Done
% 76.05/76.49
% 76.05/76.49
% 76.05/76.49 Intermediate Status:
% 76.05/76.49 Generated: 273374
% 76.05/76.49 Kept: 50023
% 76.05/76.49 Inuse: 999
% 76.05/76.49 Deleted: 912
% 76.05/76.49 Deletedinuse: 6
% 76.05/76.49
% 76.05/76.49 Resimplifying inuse:
% 76.05/76.49 Done
% 76.05/76.49
% 76.05/76.49
% 76.05/76.49 Intermediate Status:
% 76.05/76.49 Generated: 284048
% 76.05/76.49 Kept: 52238
% 76.05/76.49 Inuse: 1019
% 76.05/76.49 Deleted: 912
% 76.05/76.49 Deletedinuse: 6
% 76.05/76.49
% 76.05/76.49 Resimplifying inuse:
% 76.05/76.49 Done
% 76.05/76.49
% 76.05/76.49 Resimplifying inuse:
% 76.05/76.49 Done
% 76.05/76.49
% 76.05/76.49
% 76.05/76.49 Intermediate Status:
% 76.05/76.49 Generated: 302009
% 76.05/76.49 Kept: 54926
% 76.05/76.49 Inuse: 1059
% 76.05/76.49 Deleted: 912
% 76.05/76.49 Deletedinuse: 6
% 76.05/76.49
% 76.05/76.49 Resimplifying inuse:
% 76.05/76.49 Done
% 76.05/76.49
% 76.05/76.49 Resimplifying inuse:
% 76.05/76.49 Done
% 76.05/76.49
% 76.05/76.49
% 76.05/76.49 Intermediate Status:
% 76.05/76.49 Generated: 316799
% 76.05/76.49 Kept: 56936
% 76.05/76.49 Inuse: 1073
% 76.05/76.49 Deleted: 912
% 76.05/76.49 Deletedinuse: 6
% 76.05/76.49
% 76.05/76.49 Resimplifying inuse:
% 76.05/76.49 Done
% 76.05/76.49
% 76.05/76.49 Resimplifying inuse:
% 76.05/76.49 Done
% 76.05/76.49
% 76.05/76.49
% 76.05/76.49 Intermediate Status:
% 76.05/76.49 Generated: 341183
% 76.05/76.49 Kept: 59777
% 76.05/76.49 Inuse: 1094
% 76.05/76.49 Deleted: 912
% 76.05/76.49 Deletedinuse: 6
% 76.05/76.49
% 76.05/76.49 Resimplifying inuse:
% 76.05/76.49 Done
% 76.05/76.49
% 76.05/76.49 Resimplifying clauses:
% 76.05/76.49 Done
% 76.05/76.49
% 76.05/76.49 Resimplifying inuse:
% 76.05/76.49 Done
% 76.05/76.49
% 76.05/76.49
% 76.05/76.49 Intermediate Status:
% 76.05/76.49 Generated: 357691
% 76.05/76.49 Kept: 62427
% 76.05/76.49 Inuse: 1124
% 76.05/76.49 Deleted: 1322
% 76.05/76.49 Deletedinuse: 6
% 76.05/76.49
% 76.05/76.49 Resimplifying inuse:
% 76.05/76.49 Done
% 76.05/76.49
% 76.05/76.49 Resimplifying inuse:
% 76.05/76.49 Done
% 76.05/76.49
% 76.05/76.49
% 76.05/76.49 Intermediate Status:
% 76.05/76.49 Generated: 371531
% 76.05/76.49 Kept: 64633
% 76.05/76.49 Inuse: 1164
% 76.05/76.49 Deleted: 1322
% 76.05/76.49 Deletedinuse: 6
% 76.05/76.49
% 76.05/76.49 Resimplifying inuse:
% 76.05/76.49 Done
% 76.05/76.49
% 76.05/76.49 Resimplifying inuse:
% 76.05/76.49 Done
% 76.05/76.49
% 76.05/76.49
% 76.05/76.49 Intermediate Status:
% 76.05/76.49 Generated: 386492
% 76.05/76.49 Kept: 66650
% 76.05/76.49 Inuse: 1204
% 76.05/76.49 Deleted: 1322
% 76.05/76.49 Deletedinuse: 6
% 76.05/76.49
% 76.05/76.49 Resimplifying inuse:
% 76.05/76.49 Done
% 76.05/76.49
% 76.05/76.49
% 76.05/76.49 Intermediate Status:
% 76.05/76.49 Generated: 403444
% 76.05/76.49 Kept: 68688
% 76.05/76.49 Inuse: 1229
% 76.05/76.49 Deleted: 1322
% 76.05/76.49 Deletedinuse: 6
% 76.05/76.49
% 76.05/76.49 Resimplifying inuse:
% 76.05/76.49 Done
% 76.05/76.49
% 76.05/76.49
% 76.05/76.49 Intermediate Status:
% 76.05/76.49 Generated: 436236
% 76.05/76.49 Kept: 71797
% 76.05/76.49 Inuse: 1259
% 76.05/76.49 Deleted: 1322
% 76.05/76.49 Deletedinuse: 6
% 76.05/76.49
% 76.05/76.49 Resimplifying inuse:
% 76.05/76.49 Done
% 76.05/76.49
% 76.05/76.49 Resimplifying inuse:
% 76.05/76.49 Done
% 76.05/76.49
% 76.05/76.49
% 76.05/76.49 Intermediate Status:
% 76.05/76.49 Generated: 451666
% 76.05/76.49 Kept: 74113
% 76.05/76.49 Inuse: 1284
% 76.05/76.49 Deleted: 1324
% 76.05/76.49 Deletedinuse: 8
% 76.05/76.49
% 76.05/76.49 Resimplifying inuse:
% 76.05/76.49 Done
% 76.05/76.49
% 76.05/76.49 Resimplifying inuse:
% 76.05/76.49 Done
% 76.05/76.49
% 76.05/76.49
% 76.05/76.49 Intermediate Status:
% 76.05/76.49 Generated: 475557
% 76.05/76.49 Kept: 76630
% 76.05/76.49 Inuse: 1299
% 76.05/76.49 Deleted: 1328
% 76.05/76.49 Deletedinuse: 12
% 76.05/76.49
% 76.05/76.49 Resimplifying inuse:
% 76.05/76.49 Done
% 76.05/76.49
% 76.05/76.49
% 76.05/76.49 Intermediate Status:
% 76.05/76.49 Generated: 501087
% 76.05/76.49 Kept: 78923
% 76.05/76.49 Inuse: 1303
% 76.05/76.49 Deleted: 1336
% 76.05/76.49 Deletedinuse: 19
% 76.05/76.49
% 76.05/76.49 Resimplifying inuse:
% 76.05/76.49 Done
% 76.05/76.49
% 76.05/76.49 Resimplifying inuse:
% 76.05/76.49 Done
% 76.05/76.49
% 76.05/76.49 Resimplifying clauses:
% 76.05/76.49 Done
% 76.05/76.49
% 76.05/76.49
% 76.05/76.49 Intermediate Status:
% 76.05/76.49 Generated: 521722
% 76.05/76.49 Kept: 81138
% 76.05/76.49 Inuse: 1353
% 76.05/76.49 Deleted: 1931
% 76.05/76.49 Deletedinuse: 19
% 76.05/76.49
% 76.05/76.49 Resimplifying inuse:
% 76.05/76.49 Done
% 76.05/76.49
% 76.05/76.49 Resimplifying inuse:
% 76.05/76.49 Done
% 76.05/76.49
% 76.05/76.49
% 76.05/76.49 Intermediate Status:
% 76.05/76.49 Generated: 536739
% 76.05/76.49 Kept: 83336
% 76.05/76.49 Inuse: 1388
% 76.05/76.49 Deleted: 1933
% 76.05/76.49 Deletedinuse: 21
% 76.05/76.49
% 76.05/76.49 Resimplifying inuse:
% 76.05/76.49 Done
% 76.05/76.49
% 76.05/76.49 Resimplifying inuse:
% 76.05/76.49 Done
% 76.05/76.49
% 76.05/76.49
% 76.05/76.49 Intermediate Status:
% 76.05/76.49 Generated: 554886
% 76.05/76.49 Kept: 85340
% 76.05/76.49 Inuse: 1425
% 76.05/76.49 Deleted: 1933
% 76.05/76.49 Deletedinuse: 21
% 76.05/76.49
% 76.05/76.49 Resimplifying inuse:
% 76.05/76.49 Done
% 76.05/76.49
% 76.05/76.49 Resimplifying inuse:
% 76.05/76.49 Done
% 76.05/76.49
% 76.05/76.49
% 76.05/76.49 Intermediate Status:
% 76.05/76.49 Generated: 582399
% 76.05/76.49 Kept: 87342
% 76.05/76.49 Inuse: 1434
% 76.05/76.49 Deleted: 1933
% 76.05/76.49 Deletedinuse: 21
% 76.05/76.49
% 76.05/76.49 Resimplifying inuse:
% 76.05/76.49 Done
% 76.05/76.49
% 76.05/76.49
% 76.05/76.49 Intermediate Status:
% 76.05/76.49 Generated: 610420
% 76.05/76.49 Kept: 89507
% 76.05/76.49 Inuse: 1443
% 76.05/76.49 Deleted: 1933
% 76.05/76.49 Deletedinuse: 21
% 76.05/76.49
% 76.05/76.49 Resimplifying inuse:
% 76.05/76.49 Done
% 76.05/76.49
% 76.05/76.49 Resimplifying inuse:
% 76.05/76.49 Done
% 76.05/76.49
% 76.05/76.49
% 76.05/76.49 Intermediate Status:
% 76.05/76.49 Generated: 650469
% 76.05/76.49 Kept: 93364
% 76.05/76.49 Inuse: 1473
% 76.05/76.49 Deleted: 1933
% 76.05/76.49 Deletedinuse: 21
% 76.05/76.49
% 76.05/76.49 Resimplifying inuse:
% 76.05/76.49 Done
% 76.05/76.49
% 76.05/76.49 Resimplifying inuse:
% 76.05/76.49 Done
% 76.05/76.49
% 76.05/76.49
% 76.05/76.49 Intermediate Status:
% 76.05/76.49 Generated: 663602
% 76.05/76.49 Kept: 95724
% 76.05/76.49 Inuse: 1498
% 76.05/76.49 Deleted: 1933
% 76.05/76.49 Deletedinuse: 21
% 76.05/76.49
% 76.05/76.49 Resimplifying inuse:
% 76.05/76.49 Done
% 76.05/76.49
% 76.05/76.49 Resimplifying inuse:
% 76.05/76.49 Done
% 76.05/76.49
% 76.05/76.49
% 76.05/76.49 Intermediate Status:
% 76.05/76.49 Generated: 680295
% 76.05/76.49 Kept: 97780
% 76.05/76.49 Inuse: 1513
% 76.05/76.49 Deleted: 1933
% 76.05/76.49 Deletedinuse: 21
% 76.05/76.49
% 76.05/76.49 Resimplifying inuse:
% 76.05/76.49 Done
% 76.05/76.49
% 76.05/76.49 Resimplifying inuse:
% 76.05/76.49 Done
% 76.05/76.49
% 76.05/76.49
% 76.05/76.49 Intermediate Status:
% 76.05/76.49 Generated: 697137
% 76.05/76.49 Kept: 100166
% 76.05/76.49 Inuse: 1553
% 76.05/76.49 Deleted: 1933
% 76.05/76.49 Deletedinuse: 21
% 76.05/76.49
% 76.05/76.49 Resimplifying inuse:
% 76.05/76.49 Done
% 76.05/76.49
% 76.05/76.49 Resimplifying clauses:
% 76.05/76.49 Done
% 76.05/76.49
% 76.05/76.49 Resimplifying inuse:
% 76.05/76.49 Done
% 76.05/76.49
% 76.05/76.49
% 76.05/76.49 Intermediate Status:
% 76.05/76.49 Generated: 708723
% 76.05/76.49 Kept: 102171
% 76.05/76.49 Inuse: 1573
% 76.05/76.49 Deleted: 2800
% 76.05/76.49 Deletedinuse: 21
% 76.05/76.49
% 76.05/76.49 Resimplifying inuse:
% 76.05/76.49 Done
% 76.05/76.49
% 76.05/76.49
% 76.05/76.49 Intermediate Status:
% 76.05/76.49 Generated: 731512
% 76.05/76.49 Kept: 104627
% 76.05/76.49 Inuse: 1603
% 76.05/76.49 Deleted: 2800
% 76.05/76.49 Deletedinuse: 21
% 76.05/76.49
% 160.96/161.45 Resimplifying inuse:
% 160.96/161.45 Done
% 160.96/161.45
% 160.96/161.45 Resimplifying inuse:
% 160.96/161.45 Done
% 160.96/161.45
% 160.96/161.45
% 160.96/161.45 Intermediate Status:
% 160.96/161.45 Generated: 778064
% 160.96/161.45 Kept: 109429
% 160.96/161.45 Inuse: 1638
% 160.96/161.45 Deleted: 2800
% 160.96/161.45 Deletedinuse: 21
% 160.96/161.45
% 160.96/161.45 Resimplifying inuse:
% 160.96/161.45 Done
% 160.96/161.45
% 160.96/161.45 Resimplifying inuse:
% 160.96/161.45 Done
% 160.96/161.45
% 160.96/161.45
% 160.96/161.45 Intermediate Status:
% 160.96/161.45 Generated: 788177
% 160.96/161.45 Kept: 111475
% 160.96/161.45 Inuse: 1658
% 160.96/161.45 Deleted: 2800
% 160.96/161.45 Deletedinuse: 21
% 160.96/161.45
% 160.96/161.45 Resimplifying inuse:
% 160.96/161.45 Done
% 160.96/161.45
% 160.96/161.45 Resimplifying inuse:
% 160.96/161.45 Done
% 160.96/161.45
% 160.96/161.45
% 160.96/161.45 Intermediate Status:
% 160.96/161.45 Generated: 798125
% 160.96/161.45 Kept: 113611
% 160.96/161.45 Inuse: 1678
% 160.96/161.45 Deleted: 2800
% 160.96/161.45 Deletedinuse: 21
% 160.96/161.45
% 160.96/161.45 Resimplifying inuse:
% 160.96/161.45 Done
% 160.96/161.45
% 160.96/161.45 Resimplifying inuse:
% 160.96/161.45 Done
% 160.96/161.45
% 160.96/161.45
% 160.96/161.45 Intermediate Status:
% 160.96/161.45 Generated: 809420
% 160.96/161.45 Kept: 115618
% 160.96/161.45 Inuse: 1686
% 160.96/161.45 Deleted: 2800
% 160.96/161.45 Deletedinuse: 21
% 160.96/161.45
% 160.96/161.45 Resimplifying inuse:
% 160.96/161.45 Done
% 160.96/161.45
% 160.96/161.45
% 160.96/161.45 Intermediate Status:
% 160.96/161.45 Generated: 819530
% 160.96/161.45 Kept: 117757
% 160.96/161.45 Inuse: 1708
% 160.96/161.45 Deleted: 2800
% 160.96/161.45 Deletedinuse: 21
% 160.96/161.45
% 160.96/161.45 Resimplifying inuse:
% 160.96/161.45 Done
% 160.96/161.45
% 160.96/161.45 Resimplifying inuse:
% 160.96/161.45 Done
% 160.96/161.45
% 160.96/161.45
% 160.96/161.45 Intermediate Status:
% 160.96/161.45 Generated: 833604
% 160.96/161.45 Kept: 120329
% 160.96/161.45 Inuse: 1733
% 160.96/161.45 Deleted: 2800
% 160.96/161.45 Deletedinuse: 21
% 160.96/161.45
% 160.96/161.45 Resimplifying inuse:
% 160.96/161.45 Done
% 160.96/161.45
% 160.96/161.45 Resimplifying inuse:
% 160.96/161.45 Done
% 160.96/161.45
% 160.96/161.45 Resimplifying clauses:
% 160.96/161.45 Done
% 160.96/161.45
% 160.96/161.45
% 160.96/161.45 Intermediate Status:
% 160.96/161.45 Generated: 842977
% 160.96/161.45 Kept: 122883
% 160.96/161.45 Inuse: 1748
% 160.96/161.45 Deleted: 3692
% 160.96/161.45 Deletedinuse: 21
% 160.96/161.45
% 160.96/161.45 Resimplifying inuse:
% 160.96/161.45 Done
% 160.96/161.45
% 160.96/161.45 Resimplifying inuse:
% 160.96/161.45 Done
% 160.96/161.45
% 160.96/161.45
% 160.96/161.45 Intermediate Status:
% 160.96/161.45 Generated: 858404
% 160.96/161.45 Kept: 124984
% 160.96/161.45 Inuse: 1773
% 160.96/161.45 Deleted: 3692
% 160.96/161.45 Deletedinuse: 21
% 160.96/161.45
% 160.96/161.45 Resimplifying inuse:
% 160.96/161.45 Done
% 160.96/161.45
% 160.96/161.45 Resimplifying inuse:
% 160.96/161.45 Done
% 160.96/161.45
% 160.96/161.45
% 160.96/161.45 Intermediate Status:
% 160.96/161.45 Generated: 872971
% 160.96/161.45 Kept: 127111
% 160.96/161.45 Inuse: 1803
% 160.96/161.45 Deleted: 3692
% 160.96/161.45 Deletedinuse: 21
% 160.96/161.45
% 160.96/161.45
% 160.96/161.45 Intermediate Status:
% 160.96/161.45 Generated: 892120
% 160.96/161.45 Kept: 129798
% 160.96/161.45 Inuse: 1808
% 160.96/161.45 Deleted: 3692
% 160.96/161.45 Deletedinuse: 21
% 160.96/161.45
% 160.96/161.45 Resimplifying inuse:
% 160.96/161.45 Done
% 160.96/161.45
% 160.96/161.45 Resimplifying inuse:
% 160.96/161.45 Done
% 160.96/161.45
% 160.96/161.45
% 160.96/161.45 Intermediate Status:
% 160.96/161.45 Generated: 904936
% 160.96/161.45 Kept: 132072
% 160.96/161.45 Inuse: 1833
% 160.96/161.45 Deleted: 3692
% 160.96/161.45 Deletedinuse: 21
% 160.96/161.45
% 160.96/161.45 Resimplifying inuse:
% 160.96/161.45 Done
% 160.96/161.45
% 160.96/161.45 Resimplifying inuse:
% 160.96/161.45 Done
% 160.96/161.45
% 160.96/161.45
% 160.96/161.45 Intermediate Status:
% 160.96/161.45 Generated: 922635
% 160.96/161.45 Kept: 134298
% 160.96/161.45 Inuse: 1858
% 160.96/161.45 Deleted: 3692
% 160.96/161.45 Deletedinuse: 21
% 160.96/161.45
% 160.96/161.45 Resimplifying inuse:
% 160.96/161.45 Done
% 160.96/161.45
% 160.96/161.45 Resimplifying inuse:
% 160.96/161.45 Done
% 160.96/161.45
% 160.96/161.45
% 160.96/161.45 Intermediate Status:
% 160.96/161.45 Generated: 938579
% 160.96/161.45 Kept: 136394
% 160.96/161.45 Inuse: 1887
% 160.96/161.45 Deleted: 3693
% 160.96/161.45 Deletedinuse: 21
% 160.96/161.45
% 160.96/161.45 Resimplifying inuse:
% 160.96/161.45 Done
% 160.96/161.45
% 160.96/161.45 Resimplifying inuse:
% 160.96/161.45 Done
% 160.96/161.45
% 160.96/161.45
% 160.96/161.45 Intermediate Status:
% 160.96/161.45 Generated: 957255
% 160.96/161.45 Kept: 138408
% 160.96/161.45 Inuse: 1924
% 160.96/161.45 Deleted: 3693
% 160.96/161.45 Deletedinuse: 21
% 160.96/161.45
% 160.96/161.45 Resimplifying inuse:
% 160.96/161.45 Done
% 160.96/161.45
% 160.96/161.45 Resimplifying inuse:
% 160.96/161.45 Done
% 160.96/161.45
% 160.96/161.45
% 160.96/161.45 Intermediate Status:
% 160.96/161.45 Generated: 976632
% 160.96/161.45 Kept: 140660
% 160.96/161.45 Inuse: 1942
% 160.96/161.45 Deleted: 3693
% 160.96/161.45 Deletedinuse: 21
% 160.96/161.45
% 160.96/161.45 Resimplifying inuse:
% 160.96/161.45 Done
% 160.96/161.45
% 160.96/161.45 Resimplifying inuse:
% 160.96/161.45 Done
% 160.96/161.45
% 160.96/161.45 Resimplifying clauses:
% 160.96/161.45 Done
% 160.96/161.45
% 160.96/161.45
% 160.96/161.45 Intermediate Status:
% 160.96/161.45 Generated: 990929
% 160.96/161.45 Kept: 142661
% 160.96/161.45 Inuse: 1967
% 160.96/161.45 Deleted: 4667
% 160.96/161.45 Deletedinuse: 21
% 160.96/161.45
% 160.96/161.45 Resimplifying inuse:
% 160.96/161.45 Done
% 160.96/161.45
% 160.96/161.45 Resimplifying inuse:
% 160.96/161.45 Done
% 160.96/161.45
% 160.96/161.45
% 160.96/161.45 Intermediate Status:
% 160.96/161.45 Generated: 1007352
% 160.96/161.45 Kept: 144678
% 160.96/161.45 Inuse: 1998
% 160.96/161.45 Deleted: 4682
% 160.96/161.45 Deletedinuse: 36
% 160.96/161.45
% 160.96/161.45 Resimplifying inuse:
% 160.96/161.45 Done
% 160.96/161.45
% 160.96/161.45 Resimplifying inuse:
% 160.96/161.45 Done
% 160.96/161.45
% 160.96/161.45
% 160.96/161.45 Intermediate Status:
% 160.96/161.45 Generated: 1027322
% 160.96/161.45 Kept: 146860
% 160.96/161.45 Inuse: 2031
% 160.96/161.45 Deleted: 4683
% 160.96/161.45 Deletedinuse: 36
% 160.96/161.45
% 160.96/161.45 Resimplifying inuse:
% 160.96/161.45 Done
% 160.96/161.45
% 160.96/161.45
% 160.96/161.45 Intermediate Status:
% 160.96/161.45 Generated: 1052026
% 160.96/161.45 Kept: 149052
% 160.96/161.45 Inuse: 2056
% 160.96/161.45 Deleted: 4683
% 160.96/161.45 Deletedinuse: 36
% 160.96/161.45
% 160.96/161.45 Resimplifying inuse:
% 160.96/161.45 Done
% 160.96/161.45
% 160.96/161.45 Resimplifying inuse:
% 160.96/161.45 Done
% 160.96/161.45
% 160.96/161.45
% 160.96/161.45 Intermediate Status:
% 160.96/161.45 Generated: 1082088
% 160.96/161.45 Kept: 152543
% 160.96/161.45 Inuse: 2070
% 160.96/161.45 Deleted: 4684
% 160.96/161.45 Deletedinuse: 36
% 160.96/161.45
% 160.96/161.45 Resimplifying inuse:
% 160.96/161.45 Done
% 160.96/161.45
% 160.96/161.45
% 160.96/161.45 Intermediate Status:
% 160.96/161.45 Generated: 1104648
% 160.96/161.45 Kept: 155075
% 160.96/161.45 Inuse: 2090
% 160.96/161.45 Deleted: 4684
% 160.96/161.45 Deletedinuse: 36
% 160.96/161.45
% 160.96/161.45 Resimplifying inuse:
% 160.96/161.45 Done
% 160.96/161.45
% 160.96/161.45 Resimplifying inuse:
% 160.96/161.45 Done
% 160.96/161.45
% 160.96/161.45
% 160.96/161.45 Intermediate Status:
% 160.96/161.45 Generated: 1140696
% 160.96/161.45 Kept: 158693
% 160.96/161.45 Inuse: 2100
% 160.96/161.45 Deleted: 4684
% 160.96/161.45 Deletedinuse: 36
% 160.96/161.45
% 160.96/161.45 Resimplifying inuse:
% 160.96/161.45 Done
% 160.96/161.45
% 160.96/161.45 Resimplifying inuse:
% 160.96/161.45 Done
% 160.96/161.45
% 160.96/161.45
% 160.96/161.45 Intermediate Status:
% 160.96/161.45 Generated: 1161690
% 160.96/161.45 Kept: 160750
% 160.96/161.45 Inuse: 2110
% 160.96/161.45 Deleted: 4684
% 160.96/161.45 Deletedinuse: 36
% 160.96/161.45
% 160.96/161.45 Resimplifying inuse:
% 160.96/161.45 Done
% 160.96/161.45
% 160.96/161.45
% 160.96/161.45 Intermediate Status:
% 160.96/161.45 Generated: 1175697
% 160.96/161.45 Kept: 162910
% 160.96/161.45 Inuse: 2132
% 160.96/161.45 Deleted: 4688
% 160.96/161.45 Deletedinuse: 40
% 160.96/161.45
% 160.96/161.45 Resimplifying clauses:
% 288.99/289.44 Done
% 288.99/289.44
% 288.99/289.44 Resimplifying inuse:
% 288.99/289.44 Done
% 288.99/289.44
% 288.99/289.44 Resimplifying inuse:
% 288.99/289.44 Done
% 288.99/289.44
% 288.99/289.44
% 288.99/289.44 Intermediate Status:
% 288.99/289.44 Generated: 1187473
% 288.99/289.44 Kept: 165221
% 288.99/289.44 Inuse: 2150
% 288.99/289.44 Deleted: 5536
% 288.99/289.44 Deletedinuse: 40
% 288.99/289.44
% 288.99/289.44 Resimplifying inuse:
% 288.99/289.44 Done
% 288.99/289.44
% 288.99/289.44 Resimplifying inuse:
% 288.99/289.44 Done
% 288.99/289.44
% 288.99/289.44
% 288.99/289.44 Intermediate Status:
% 288.99/289.44 Generated: 1203581
% 288.99/289.44 Kept: 167495
% 288.99/289.44 Inuse: 2175
% 288.99/289.44 Deleted: 5536
% 288.99/289.44 Deletedinuse: 40
% 288.99/289.44
% 288.99/289.44 Resimplifying inuse:
% 288.99/289.44 Done
% 288.99/289.44
% 288.99/289.44 Resimplifying inuse:
% 288.99/289.44 Done
% 288.99/289.44
% 288.99/289.44
% 288.99/289.44 Intermediate Status:
% 288.99/289.44 Generated: 1230815
% 288.99/289.44 Kept: 171624
% 288.99/289.44 Inuse: 2200
% 288.99/289.44 Deleted: 5536
% 288.99/289.44 Deletedinuse: 40
% 288.99/289.44
% 288.99/289.44 Resimplifying inuse:
% 288.99/289.44 Done
% 288.99/289.44
% 288.99/289.44 Resimplifying inuse:
% 288.99/289.44 Done
% 288.99/289.44
% 288.99/289.44
% 288.99/289.44 Intermediate Status:
% 288.99/289.44 Generated: 1244958
% 288.99/289.44 Kept: 173772
% 288.99/289.44 Inuse: 2220
% 288.99/289.44 Deleted: 5536
% 288.99/289.44 Deletedinuse: 40
% 288.99/289.44
% 288.99/289.44 Resimplifying inuse:
% 288.99/289.44 Done
% 288.99/289.44
% 288.99/289.44 Resimplifying inuse:
% 288.99/289.44 Done
% 288.99/289.44
% 288.99/289.44
% 288.99/289.44 Intermediate Status:
% 288.99/289.44 Generated: 1273173
% 288.99/289.44 Kept: 177741
% 288.99/289.44 Inuse: 2245
% 288.99/289.44 Deleted: 5536
% 288.99/289.44 Deletedinuse: 40
% 288.99/289.44
% 288.99/289.44 Resimplifying inuse:
% 288.99/289.44 Done
% 288.99/289.44
% 288.99/289.44 Resimplifying inuse:
% 288.99/289.44 Done
% 288.99/289.44
% 288.99/289.44
% 288.99/289.44 Intermediate Status:
% 288.99/289.44 Generated: 1285479
% 288.99/289.44 Kept: 179869
% 288.99/289.44 Inuse: 2260
% 288.99/289.44 Deleted: 5536
% 288.99/289.44 Deletedinuse: 40
% 288.99/289.44
% 288.99/289.44 Resimplifying inuse:
% 288.99/289.44 Done
% 288.99/289.44
% 288.99/289.44 Resimplifying inuse:
% 288.99/289.44 Done
% 288.99/289.44
% 288.99/289.44
% 288.99/289.44 Intermediate Status:
% 288.99/289.44 Generated: 1298082
% 288.99/289.44 Kept: 181892
% 288.99/289.44 Inuse: 2281
% 288.99/289.44 Deleted: 5539
% 288.99/289.44 Deletedinuse: 43
% 288.99/289.44
% 288.99/289.44 Resimplifying inuse:
% 288.99/289.44 Done
% 288.99/289.44
% 288.99/289.44 Resimplifying clauses:
% 288.99/289.44 Done
% 288.99/289.44
% 288.99/289.44 Resimplifying inuse:
% 288.99/289.44 Done
% 288.99/289.44
% 288.99/289.44
% 288.99/289.44 Intermediate Status:
% 288.99/289.44 Generated: 1310224
% 288.99/289.44 Kept: 184108
% 288.99/289.44 Inuse: 2300
% 288.99/289.44 Deleted: 6398
% 288.99/289.44 Deletedinuse: 43
% 288.99/289.44
% 288.99/289.44 Resimplifying inuse:
% 288.99/289.44 Done
% 288.99/289.44
% 288.99/289.44 Resimplifying inuse:
% 288.99/289.44 Done
% 288.99/289.44
% 288.99/289.44
% 288.99/289.44 Intermediate Status:
% 288.99/289.44 Generated: 1323684
% 288.99/289.44 Kept: 186179
% 288.99/289.44 Inuse: 2325
% 288.99/289.44 Deleted: 6398
% 288.99/289.44 Deletedinuse: 43
% 288.99/289.44
% 288.99/289.44 Resimplifying inuse:
% 288.99/289.44 Done
% 288.99/289.44
% 288.99/289.44
% 288.99/289.44 Intermediate Status:
% 288.99/289.44 Generated: 1334606
% 288.99/289.44 Kept: 188424
% 288.99/289.44 Inuse: 2340
% 288.99/289.44 Deleted: 6398
% 288.99/289.44 Deletedinuse: 43
% 288.99/289.44
% 288.99/289.44 Resimplifying inuse:
% 288.99/289.44 Done
% 288.99/289.44
% 288.99/289.44
% 288.99/289.44 Intermediate Status:
% 288.99/289.44 Generated: 1357236
% 288.99/289.44 Kept: 191057
% 288.99/289.44 Inuse: 2355
% 288.99/289.44 Deleted: 6398
% 288.99/289.44 Deletedinuse: 43
% 288.99/289.44
% 288.99/289.44 Resimplifying inuse:
% 288.99/289.44 Done
% 288.99/289.44
% 288.99/289.44
% 288.99/289.44 Intermediate Status:
% 288.99/289.44 Generated: 1373250
% 288.99/289.44 Kept: 193848
% 288.99/289.44 Inuse: 2360
% 288.99/289.44 Deleted: 6398
% 288.99/289.44 Deletedinuse: 43
% 288.99/289.44
% 288.99/289.44 Resimplifying inuse:
% 288.99/289.44 Done
% 288.99/289.44
% 288.99/289.44 Resimplifying inuse:
% 288.99/289.44 Done
% 288.99/289.44
% 288.99/289.44
% 288.99/289.44 Intermediate Status:
% 288.99/289.44 Generated: 1408853
% 288.99/289.44 Kept: 197725
% 288.99/289.44 Inuse: 2395
% 288.99/289.44 Deleted: 6398
% 288.99/289.44 Deletedinuse: 43
% 288.99/289.44
% 288.99/289.44 Resimplifying inuse:
% 288.99/289.44 Done
% 288.99/289.44
% 288.99/289.44 Resimplifying inuse:
% 288.99/289.44 Done
% 288.99/289.44
% 288.99/289.44
% 288.99/289.44 Intermediate Status:
% 288.99/289.44 Generated: 1426996
% 288.99/289.44 Kept: 200141
% 288.99/289.44 Inuse: 2420
% 288.99/289.44 Deleted: 6398
% 288.99/289.44 Deletedinuse: 43
% 288.99/289.44
% 288.99/289.44 Resimplifying inuse:
% 288.99/289.44 Done
% 288.99/289.44
% 288.99/289.44 Resimplifying inuse:
% 288.99/289.44 Done
% 288.99/289.44
% 288.99/289.44
% 288.99/289.44 Intermediate Status:
% 288.99/289.44 Generated: 1441541
% 288.99/289.44 Kept: 202625
% 288.99/289.44 Inuse: 2440
% 288.99/289.44 Deleted: 6398
% 288.99/289.44 Deletedinuse: 43
% 288.99/289.44
% 288.99/289.44 Resimplifying inuse:
% 288.99/289.44 Done
% 288.99/289.44
% 288.99/289.44 Resimplifying clauses:
% 288.99/289.44 Done
% 288.99/289.44
% 288.99/289.44 Resimplifying inuse:
% 288.99/289.44 Done
% 288.99/289.44
% 288.99/289.44
% 288.99/289.44 Intermediate Status:
% 288.99/289.44 Generated: 1454647
% 288.99/289.44 Kept: 204891
% 288.99/289.44 Inuse: 2455
% 288.99/289.44 Deleted: 6913
% 288.99/289.44 Deletedinuse: 43
% 288.99/289.44
% 288.99/289.44 Resimplifying inuse:
% 288.99/289.44 Done
% 288.99/289.44
% 288.99/289.44 Resimplifying inuse:
% 288.99/289.44 Done
% 288.99/289.44
% 288.99/289.44
% 288.99/289.44 Intermediate Status:
% 288.99/289.44 Generated: 1470645
% 288.99/289.44 Kept: 207052
% 288.99/289.44 Inuse: 2480
% 288.99/289.44 Deleted: 6913
% 288.99/289.44 Deletedinuse: 43
% 288.99/289.44
% 288.99/289.44 Resimplifying inuse:
% 288.99/289.44 Done
% 288.99/289.44
% 288.99/289.44 Resimplifying inuse:
% 288.99/289.44 Done
% 288.99/289.44
% 288.99/289.44
% 288.99/289.44 Intermediate Status:
% 288.99/289.44 Generated: 1490805
% 288.99/289.44 Kept: 209315
% 288.99/289.44 Inuse: 2515
% 288.99/289.44 Deleted: 6913
% 288.99/289.44 Deletedinuse: 43
% 288.99/289.44
% 288.99/289.44 Resimplifying inuse:
% 288.99/289.44 Done
% 288.99/289.44
% 288.99/289.44 Resimplifying inuse:
% 288.99/289.44 Done
% 288.99/289.44
% 288.99/289.44
% 288.99/289.44 Intermediate Status:
% 288.99/289.44 Generated: 1515349
% 288.99/289.44 Kept: 213463
% 288.99/289.44 Inuse: 2535
% 288.99/289.44 Deleted: 6916
% 288.99/289.44 Deletedinuse: 46
% 288.99/289.44
% 288.99/289.44 Resimplifying inuse:
% 288.99/289.44 Done
% 288.99/289.44
% 288.99/289.44 Resimplifying inuse:
% 288.99/289.44 Done
% 288.99/289.44
% 288.99/289.44
% 288.99/289.44 Intermediate Status:
% 288.99/289.44 Generated: 1528366
% 288.99/289.44 Kept: 215471
% 288.99/289.44 Inuse: 2551
% 288.99/289.44 Deleted: 6916
% 288.99/289.44 Deletedinuse: 46
% 288.99/289.44
% 288.99/289.44 Resimplifying inuse:
% 288.99/289.44 Done
% 288.99/289.44
% 288.99/289.44
% 288.99/289.44 Intermediate Status:
% 288.99/289.44 Generated: 1539528
% 288.99/289.44 Kept: 217481
% 288.99/289.44 Inuse: 2565
% 288.99/289.44 Deleted: 6916
% 288.99/289.44 Deletedinuse: 46
% 288.99/289.44
% 288.99/289.44 Resimplifying inuse:
% 288.99/289.44 Done
% 288.99/289.44
% 288.99/289.44 Resimplifying inuse:
% 288.99/289.44 Done
% 288.99/289.44
% 288.99/289.44
% 288.99/289.44 Intermediate Status:
% 288.99/289.44 Generated: 1565327
% 288.99/289.44 Kept: 221098
% 288.99/289.44 Inuse: 2585
% 288.99/289.44 Deleted: 6916
% 288.99/289.44 Deletedinuse: 46
% 288.99/289.44
% 288.99/289.44 Resimplifying inuse:
% 288.99/289.44 Done
% 288.99/289.44
% 288.99/289.44 Resimplifying inuse:
% 288.99/289.44 Done
% 288.99/289.44
% 288.99/289.44
% 288.99/289.44 Intermediate Status:
% 288.99/289.44 Generated: 1571511
% 288.99/289.44 Kept: 223263
% 288.99/289.44 Inuse: 2592
% 288.99/289.44 Deleted: 6925
% 288.99/289.44 Deletedinuse: 47
% 288.99/289.44
% 288.99/289.44 Resimplifying inuse:
% 288.99/289.44 Done
% 288.99/289.44
% 288.99/289.44 Resimplifying clauses:
% 288.99/289.44 Done
% 288.99/289.44
% 288.99/289.44 Resimplifying inuse:
% 288.99/289.44 Done
% 288.99/289.44
% 288.99/289.44
% 288.99/289.44 Intermediate Status:
% 288.99/289.44 GenCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------