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Entity > Abstract > Class > Relation > BinaryRelation > AntisymmetricRelation > AsymmetricRelation > singleValued

singleValued
subject			fact

singleValued	documentation (singleValued ?REL ?INT) means that the argument position of ?REL corresponding to ?INT is single-valued, i.e. an assignment of values to the other argument positions determines a unique value for the argument position corresponding to ?INT
	has axiom (=> (and (singleValued ?PRED 1) (holds ?PRED ?INST1 ?INST2) (holds ?PRED ?INST3 ?INST2)) (equal ?INST1 ?INST3))
	has axiom (=> (and (singleValued ?PRED 1) (holds ?PRED ?INST1 ?INST2 ?INST3) (holds ?PRED ?INST4 ?INST2 ?INST3)) (equal ?INST1 ?INST4))
	has axiom (=> (and (singleValued ?PRED 2) (holds ?PRED ?INST2 ?INST1) (holds ?PRED ?INST2 ?INST3)) (equal ?INST1 ?INST3))
	has axiom (=> (and (singleValued ?PRED 2) (holds ?PRED ?INST1 ?INST2 ?INST4) (holds ?PRED ?INST1 ?INST3 ?INST4)) (equal ?INST2 ?INST3))
	has axiom (=> (and (singleValued ?PRED 3) (holds ?PRED ?INST1 ?INST2 ?INST3) (holds ?PRED ?INST1 ?INST2 ?INST4)) (equal ?INST3 ?INST4))
	has domain1 Predicate
	has domain2 Integer
	is an instance of AsymmetricRelation
	is an instance of BinaryPredicate
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
Predicate	is first domain of singleValued
Class	is third domain of domain
	is third domain of domainSubclass
Abstract	is disjoint from Physical

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