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KB Term:  Term intersection
English Word: 

  partialOrderingOn

Sigma KEE - partialOrderingOn
partialOrderingOn

appearance as argument number 1
-------------------------


(instance partialOrderingOn BinaryPredicate) Merge.kif 3750-3750 partial ordering on is an instance of binary predicate
(domain partialOrderingOn 1 BinaryRelation) Merge.kif 3751-3751 The number 1 argument of partial ordering on is an instance of binary relation
(domain partialOrderingOn 2 Class) Merge.kif 3752-3752 The number 2 argument of partial ordering on is an instance of class
(documentation partialOrderingOn EnglishLanguage "A BinaryRelation is a partial ordering on a Class only if the relation is reflexiveOn the Class, and it is both an AntisymmetricRelation, and a TransitiveRelation.") Merge.kif 3754-3757 The number 2 argument of partial ordering on is an instance of class

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


(termFormat EnglishLanguage partialOrderingOn "partial ordering on") domainEnglishFormat.kif 44537-44537
(termFormat ChineseTraditionalLanguage partialOrderingOn "部分訂購在") domainEnglishFormat.kif 44538-44538
(termFormat ChineseLanguage partialOrderingOn "部分订购在") domainEnglishFormat.kif 44539-44539
(format EnglishLanguage partialOrderingOn "%1 is %n partial ordering on %2") english_format.kif 164-164

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


(=>
    (partialOrderingOn ?RELATION ?CLASS)
    (and
        (reflexiveOn ?RELATION ?CLASS)
        (instance ?RELATION TransitiveRelation)
        (instance ?RELATION AntisymmetricRelation)))
Merge.kif 3759-3764 If X is partial ordering on Y, then X is reflexive on Y, X is an instance of transitive relation, and X is an instance of antisymmetric relation
(=>
    (and
        (partialOrderingOn ?RELATION ?CLASS)
        (trichotomizingOn ?RELATION ?CLASS))
    (totalOrderingOn ?RELATION ?CLASS))
Merge.kif 3781-3785 If X is partial ordering on Y and X is trichotomizing on Y, then X is total ordering on Y

consequent
-------------------------


(=>
    (totalOrderingOn ?RELATION ?CLASS)
    (and
        (partialOrderingOn ?RELATION ?CLASS)
        (trichotomizingOn ?RELATION ?CLASS)))
Merge.kif 3775-3779 If X is total ordering on Y, then X is partial ordering on Y and X is trichotomizing on Y


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