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Entity > Abstract > Class > Relation > BinaryRelation > AntisymmetricRelation > AsymmetricRelation > equivalenceRelationOn |
equivalenceRelationOn comparison table |
Subject | have domain2 | have domain1 | be first domain of | documentation | have axiom | is a kind of | is an instance of |
---|---|---|---|---|---|---|---|
AsymmetricRelation | trichotomizingOn | A BinaryRelation is asymmetric only if it is both an AntisymmetricRelation and an IrreflexiveRelation | (=> | IrreflexiveRelation | |||
BinaryPredicate | singleValued | A Predicate relating two items - its valence is two | (=> | Predicate | |||
equivalenceRelationOn | Class | BinaryRelation | singleValued | A BinaryRelation is an equivalenceRelationOn a Class only if the relation is reflexiveOn the Class and it is both a TransitiveRelation and a SymmetricRelation | (=> | BinaryPredicate |
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