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Entity > Abstract > Class > Relation > BinaryRelation > UnaryFunction > OneToOneFunction

OneToOneFunction
subject			fact

OneToOneFunction	documentation The Class of UnaryFunctions which are one to one. A function F is one to one just in case for all X, Y in the domain of F, if X is not identical to Y, then F(X) is not identical to F(Y)
	has axiom (<=> (instance ?FUN OneToOneFunction) (forall (?ARG1 ?ARG2) (=> (and (instance ?ARG1 (DomainFn ?FUN)) (instance ?ARG2 (DomainFn ?FUN)) (not (equal ?ARG1 ?ARG2))) (not (equal (AssignmentFn ?FUN ?ARG1) (AssignmentFn ?FUN ?ARG2))))))
	is a kind of UnaryFunction
BinaryRelation	is first domain of DomainFn
	is first domain of equivalenceRelationOn
	is first domain of inverse
	is first domain of irreflexiveOn
	is first domain of partialOrderingOn
	is first domain of RangeFn
	is first domain of reflexiveOn
	is first domain of totalOrderingOn
	is first domain of trichotomizingOn
	is second domain of inverse
Function	is first domain of AssignmentFn
	is first domain of closedOn
	is first domain of range
	is first domain of rangeSubclass
Class	is third domain of domain
	is third domain of domainSubclass
Abstract	is disjoint from Physical

Kinds of OneToOneFunction :

• SequenceFunction (3 facts) - The Class of OneToOneFunctions whose range is a subclass of the PositiveIntegers

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