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  AntisymmetricRelation

 Sigma KEE - AntisymmetricRelation
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AntisymmetricRelation
BinaryRelation ?REL is an AntisymmetricRelation if for distinct ?INST1 and ?INST2, (?REL ?INST1 ?INST2) implies not (?REL ?INST2 ?INST1). In other words, for all ?INST1 and ?INST2, (?REL ?INST1 ?INST2) and (?REL ?INST2 ?INST1) imply that ?INST1 and ?INST2 are identical. Note that it is possible for an AntisymmetricRelation to be a ReflexiveRelation.
Relationships      
Parents BinaryRelation BinaryRelations are relations that are true only of pairs of things. BinaryRelations are represented as slots in frame systems.
Children AsymmetricRelationA BinaryRelation is asymmetric if and only if it is both an AntisymmetricRelation and an IrreflexiveRelation.
 PartialOrderingRelationA BinaryRelation is a partial ordering if it is a ReflexiveRelation, an AntisymmetricRelation, and a TransitiveRelation.


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