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Sigma KEE - partialOrderingOn
partialOrderingOn

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


(documentation partialOrderingOn ChineseLanguage "一个 BinaryRelation 在一个 SetOrClass 使部分顺序的,除非这个关系是在这个SetOrClassreflexiveOn,而且它既是 AntisymmetricRelation 又是 TransitiveRelation。") chinese_format.kif 2045-2047
(documentation partialOrderingOn EnglishLanguage "A BinaryRelation is a partial ordering on a SetOrClass only if the relation is reflexiveOn the SetOrClass, and it is both an AntisymmetricRelation, and a TransitiveRelation.") Merge.kif 3519-3522
(domain partialOrderingOn 1 BinaryRelation) Merge.kif 3516-3516 domain partialOrderingOn, 1 and BinaryRelation
(domain partialOrderingOn 2 SetOrClass) Merge.kif 3517-3517 domain partialOrderingOn, 2 and SetOrClass
(instance partialOrderingOn AsymmetricRelation) Merge.kif 3515-3515 instance partialOrderingOn and AsymmetricRelation
(instance partialOrderingOn BinaryPredicate) Merge.kif 3514-3514 instance partialOrderingOn and BinaryPredicate

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


(format ChineseLanguage partialOrderingOn "%1 在 %2 %n 是 partialOrderingOn") chinese_format.kif 163-163
(format EnglishLanguage partialOrderingOn "%1 is %n partial ordering on %2") english_format.kif 167-167
(termFormat ChineseLanguage partialOrderingOn "含偏序关系") chinese_format.kif 164-164
(termFormat ChineseLanguage partialOrderingOn "部分订购在") domainEnglishFormat.kif 44458-44458
(termFormat ChineseTraditionalLanguage partialOrderingOn "部分訂購在") domainEnglishFormat.kif 44457-44457
(termFormat EnglishLanguage partialOrderingOn "partial ordering on") domainEnglishFormat.kif 44456-44456

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


(=>
    (partialOrderingOn ?RELATION ?CLASS)
    (and
        (reflexiveOn ?RELATION ?CLASS)
        (instance ?RELATION TransitiveRelation)
        (instance ?RELATION AntisymmetricRelation)))
Merge.kif 3524-3529

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


(<=>
    (totalOrderingOn ?RELATION ?CLASS)
    (and
        (partialOrderingOn ?RELATION ?CLASS)
        (trichotomizingOn ?RELATION ?CLASS)))
Merge.kif 3541-3545 totalOrderingOn BinaryRelation and SetOrClass partialOrderingOn BinaryRelation and SetOrClass trichotomizingOn BinaryRelation and SetOrClass


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