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Entity > Abstract > Class > Relation > BinaryRelation > UnaryFunction > SuccessorFn
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SuccessorFn
subjectfact 
SuccessorFndocumentation A UnaryFunction that maps an Integer to its successor, e.g. the successor of 5 is 62001-11-30 13:35:22.0
has axiom
(=>
(and
(instance ?INT1 Integer)
(instance ?INT2 Integer))
(not
(and
(lessThan ?INT1 ?INT2)
(lessThan ?INT2 (SuccessorFn ?INT1)))))
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has axiom
(=>
(equal (SuccessorFn ?INT1) (SuccessorFn ?INT2))
(equal ?INT1 ?INT2))
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has axiom
(=>
(instance ?INT Integer)
(equal ?INT (SuccessorFn (PredecessorFn ?INT))))
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has axiom
(=>
(instance ?INT Integer)
(equal ?INT (PredecessorFn (SuccessorFn ?INT))))
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has axiom
(=>
(instance ?INT Integer)
(lessThan ?INT (SuccessorFn ?INT)))
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has domain1 Integer2001-11-30 13:35:22.0
has range Integer2001-11-30 13:35:22.0
is an instance of UnaryFunction2001-11-30 13:35:22.0
BinaryRelationis first domain of DomainFn2001-11-30 13:33:44.0
is first domain of equivalenceRelationOn2001-11-30 13:33:44.0
is first domain of inverse2001-11-30 13:33:44.0
is first domain of irreflexiveOn2001-11-30 13:33:44.0
is first domain of partialOrderingOn2001-11-30 13:33:44.0
is first domain of RangeFn2001-11-30 13:33:44.0
is first domain of reflexiveOn2001-11-30 13:33:44.0
is first domain of totalOrderingOn2001-11-30 13:33:44.0
is first domain of trichotomizingOn2001-11-30 13:33:44.0
is second domain of inverse2001-11-30 13:33:44.0
Functionis first domain of AssignmentFn2001-11-30 13:34:18.0
is first domain of closedOn2001-11-30 13:34:18.0
is first domain of range2001-11-30 13:34:18.0
is first domain of rangeSubclass2001-11-30 13:34:18.0
Classis third domain of domain2001-11-30 13:33:51.0
is third domain of domainSubclass2001-11-30 13:33:51.0
Abstractis disjoint from Physical2001-11-30 13:33:32.0

Next UnaryFunctionTangentFn    UpUnaryFunction    Previous UnaryFunctionSquareRootFn