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  EquivalenceRelation

 Sigma KEE - EquivalenceRelation
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equivalence relation
A BinaryRelation is an equivalence relation if it is a ReflexiveRelation, a SymmetricRelation, and a TransitiveRelation.
Relationships      
Parents reflexive relation Relation ?REL is reflexive iff (?REL ?INST ?INST) for all ?INST.
  symmetric relation A BinaryRelation ?REL is symmetric just iff (?REL ?INST1 ?INST2) imples (?REL ?INST2 ?INST1), for all ?INST1 and ?INST2.
  transitive relation A BinaryRelation ?REL is transitive if (?REL ?INST1 ?INST2) and (?REL ?INST2 ?INST3) imply (?REL ?INST1 ?INST3), for all ?INST1, ?INST2, and ?INST3.


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