TransitiveRelation - Sigma Knowledge base Browser

appearance as argument number 1

(disjoint TransitiveRelation IntransitiveRelation)	Merge.kif 2328-2328
(documentation TransitiveRelation ChineseLanguage "一个 BinaryRelation ?REL 是传递关系如果所有的 ?INST1， ?INST2和 ?INST3 是(?REL ?INST1 ?INST2) 和 (?REL ?INST2 ?INST3) 意味着 (?REL ?INST1 ?INST3)。")	chinese_format.kif 1848-1850
(documentation TransitiveRelation EnglishLanguage "A BinaryRelation ?REL is transitive if (?REL ?INST1 ?INST2) and (?REL ?INST2 ?INST3) imply (?REL ?INST1 ?INST3), for all ?INST1, ?INST2, and ?INST3.")	Merge.kif 2330-2332
(documentation TransitiveRelation JapaneseLanguage "BinaryRelation ?REL は、すべての ?INST1, ?INST2, および ?INST3 に対して (?REL ?INST1 ?INST2) および (?REL ?INST2 ?INST3) が (?REL ?INST1 ?INST3) を意味する場合、推移的である。")	japanese_format.kif 469-471
(subclass TransitiveRelation BinaryRelation)	Merge.kif 2327-2327

appearance as argument number 2

(instance ancestor TransitiveRelation)	Merge.kif 16438-16438
(instance ancestorOrganization TransitiveRelation)	Mid-level-ontology.kif 25113-25113
(instance before TransitiveRelation)	Merge.kif 8136-8136
(instance brother TransitiveRelation)	Merge.kif 16593-16593
(instance conjugate TransitiveRelation)	Mid-level-ontology.kif 6969-6969
(instance connectedBodyPart TransitiveRelation)	Mid-level-ontology.kif 12780-12780
(instance covers TransitiveRelation)	Merge.kif 15968-15968
(instance crosses TransitiveRelation)	Merge.kif 4191-4191
(instance dependentGeopoliticalArea TransitiveRelation)	Government.kif 421-421
(instance developmentalForm TransitiveRelation)	Merge.kif 14390-14390
(instance during TransitiveRelation)	Merge.kif 8343-8343
(instance earlier TransitiveRelation)	Merge.kif 8406-8406
(instance finishes TransitiveRelation)	Merge.kif 8104-8104
(instance flows TransitiveRelation)	Geography.kif 5494-5494
(instance geographicSubregion TransitiveRelation)	Merge.kif 14113-14113
(instance geopoliticalSubdivision TransitiveRelation)	Merge.kif 14158-14158
(instance greaterThan TransitiveRelation)	Merge.kif 1837-1837
(instance interiorPart TransitiveRelation)	Merge.kif 9755-9755
(instance larger TransitiveRelation)	Merge.kif 7787-7787
(instance lessThan TransitiveRelation)	Merge.kif 1825-1825
(instance located TransitiveRelation)	Merge.kif 4063-4063
(instance multiplicativeFactor TransitiveRelation)	Merge.kif 4885-4885
(instance precondition TransitiveRelation)	Merge.kif 4284-4284
(instance properPart TransitiveRelation)	Merge.kif 920-920
(instance sister TransitiveRelation)	Merge.kif 16602-16602

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antecedent

(=>
    (instance ?REL TransitiveRelation)
    (forall (?INST1 ?INST2 ?INST3)
        (=>
            (and
                (?REL ?INST1 ?INST2)
                (?REL ?INST2 ?INST3))
            (?REL ?INST1 ?INST3))))

Merge.kif 2334-2341

consequent

(=> (equivalenceRelationOn ?RELATION ?CLASS) (and (instance ?RELATION TransitiveRelation) (instance ?RELATION SymmetricRelation) (reflexiveOn ?RELATION ?CLASS)))	Merge.kif 3708-3713
(=> (partialOrderingOn ?RELATION ?CLASS) (and (reflexiveOn ?RELATION ?CLASS) (instance ?RELATION TransitiveRelation) (instance ?RELATION AntisymmetricRelation)))	Merge.kif 3645-3650

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