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Entity > Abstract > Class > Relation > BinaryRelation > SymmetricRelation
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SymmetricRelation
subjectfact 
SymmetricRelationdocumentation A BinaryRelation ?REL is symmetric just in case (?REL ?INST1 ?INST2) imples (?REL ?INST2 ?INST1), for all ?INST1 and ?INST22001-11-30 13:35:23.0
has axiom
(=>
(equivalenceRelationOn ?RELATION ?CLASS)
(and
(instance ?RELATION TransitiveRelation)
(instance ?RELATION SymmetricRelation)
(reflexiveOn ?RELATION ?CLASS)))
2001-11-30 13:35:23.0
has axiom
(=>
(instance ?REL SymmetricRelation)
(forall (?INST1 ?INST2)
(=>
(holds ?REL ?INST1 ?INST2)
(holds ?REL ?INST2 ?INST2))))
2001-11-30 13:35:23.0
is a kind of BinaryRelation2001-11-30 13:35:23.0
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
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

Kinds of SymmetricRelation :

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