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KB Term:  Term intersection
English Word: 

  equivalenceRelationOn

Sigma KEE - equivalenceRelationOn
equivalenceRelationOn

appearance as argument number 1
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(instance equivalenceRelationOn BinaryPredicate) Merge.kif 3810-3810 equivalence relation on is an instance of binary predicate
(domain equivalenceRelationOn 1 BinaryRelation) Merge.kif 3811-3811 The number 1 argument of equivalence relation on is an instance of binary relation
(domain equivalenceRelationOn 2 Class) Merge.kif 3812-3812 The number 2 argument of equivalence relation on is an instance of class
(documentation equivalenceRelationOn EnglishLanguage "A BinaryRelation is an equivalenceRelationOn a Class only if the relation is reflexiveOn the Class and it is both a TransitiveRelation and a SymmetricRelation.") Merge.kif 3814-3817 The number 2 argument of equivalence relation on is an instance of class

appearance as argument number 2
-------------------------


(termFormat EnglishLanguage equivalenceRelationOn "equivalence relation on") domainEnglishFormat.kif 22357-22357
(termFormat ChineseTraditionalLanguage equivalenceRelationOn "等價關係") domainEnglishFormat.kif 22358-22358
(termFormat ChineseLanguage equivalenceRelationOn "等价关系") domainEnglishFormat.kif 22359-22359
(format EnglishLanguage equivalenceRelationOn "%1 is %n an equivalence relation on %2") english_format.kif 99-99

antecedent
-------------------------


(=>
    (equivalenceRelationOn ?RELATION ?CLASS)
    (and
        (instance ?RELATION TransitiveRelation)
        (instance ?RELATION SymmetricRelation)
        (reflexiveOn ?RELATION ?CLASS)))
Merge.kif 3819-3824 If X is an equivalence relation on Y, then X is an instance of transitive relation, X is an instance of symmetric relation, and X is reflexive on Y


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