TransitiveRelation - Sigma Knowledge base Browser

appearance as argument number 1

(disjoint TransitiveRelation IntransitiveRelation)	Merge.kif 2328-2328	Transitive relation is disjoint from intransitive relation
(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	Transitive relation is disjoint from intransitive relation
(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	Transitive relation is disjoint from intransitive relation
(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	Transitive relation is disjoint from intransitive relation
(subclass TransitiveRelation BinaryRelation)	Merge.kif 2327-2327	Transitive relation is a subclass of binary relation

appearance as argument number 2

(instance ancestor TransitiveRelation)	Merge.kif 16442-16442	ancestor is an instance of transitive relation
(instance ancestorOrganization TransitiveRelation)	Mid-level-ontology.kif 25284-25284	ancestor organization is an instance of transitive relation
(instance before TransitiveRelation)	Merge.kif 8140-8140	before is an instance of transitive relation
(instance brother TransitiveRelation)	Merge.kif 16597-16597	brother is an instance of transitive relation
(instance conjugate TransitiveRelation)	Mid-level-ontology.kif 7042-7042	conjugate is an instance of transitive relation
(instance connectedBodyPart TransitiveRelation)	Mid-level-ontology.kif 12852-12852	connected is an instance of transitive relation
(instance covers TransitiveRelation)	Merge.kif 15972-15972	covers is an instance of transitive relation
(instance crosses TransitiveRelation)	Merge.kif 4195-4195	crosses is an instance of transitive relation
(instance dependentGeopoliticalArea TransitiveRelation)	Government.kif 421-421	dependent geopolitical area is an instance of transitive relation
(instance developmentalForm TransitiveRelation)	Merge.kif 14394-14394	developmental form is an instance of transitive relation
(instance during TransitiveRelation)	Merge.kif 8347-8347	during is an instance of transitive relation
(instance earlier TransitiveRelation)	Merge.kif 8410-8410	earlier is an instance of transitive relation
(instance finishes TransitiveRelation)	Merge.kif 8108-8108	finishes is an instance of transitive relation
(instance flows TransitiveRelation)	Geography.kif 5494-5494	flows is an instance of transitive relation
(instance geographicSubregion TransitiveRelation)	Merge.kif 14117-14117	geographic subregion is an instance of transitive relation
(instance geopoliticalSubdivision TransitiveRelation)	Merge.kif 14162-14162	geopolitical subdivision is an instance of transitive relation
(instance greaterThan TransitiveRelation)	Merge.kif 1837-1837	greater than is an instance of transitive relation
(instance interiorPart TransitiveRelation)	Merge.kif 9759-9759	interior part is an instance of transitive relation
(instance larger TransitiveRelation)	Merge.kif 7791-7791	larger is an instance of transitive relation
(instance lessThan TransitiveRelation)	Merge.kif 1825-1825	less than is an instance of transitive relation
(instance located TransitiveRelation)	Merge.kif 4067-4067	located is an instance of transitive relation
(instance multiplicativeFactor TransitiveRelation)	Merge.kif 4889-4889	multiplicative factor is an instance of transitive relation
(instance precondition TransitiveRelation)	Merge.kif 4288-4288	precondition is an instance of transitive relation
(instance properPart TransitiveRelation)	Merge.kif 920-920	proper part is an instance of transitive relation
(instance sister TransitiveRelation)	Merge.kif 16606-16606	sister is an instance of transitive relation

Display limited to 25 items. Show next 25

Display limited to 25 items. Show next 25

antecedent

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

Merge.kif 2334-2341

If an entity is an instance of transitive relation,
then for all another entity, a third entity and a fourth entity
- if the entity the other entity and the third entity and the entity the third entity and the fourth entity,
- then the entity the other entity and the fourth entity

consequent

(=> (equivalenceRelationOn ?RELATION ?CLASS) (and (instance ?RELATION TransitiveRelation) (instance ?RELATION SymmetricRelation) (reflexiveOn ?RELATION ?CLASS)))	Merge.kif 3708-3713	If a binary relation is an equivalence relation on a class, then the binary relation is an instance of transitive relation and the binary relation is an instance of symmetric relation and the binary relation is reflexive on the class
(=> (partialOrderingOn ?RELATION ?CLASS) (and (reflexiveOn ?RELATION ?CLASS) (instance ?RELATION TransitiveRelation) (instance ?RELATION AntisymmetricRelation)))	Merge.kif 3645-3650	If a binary relation is partial ordering on a class, then the binary relation is reflexive on the class and the binary relation is an instance of transitive relation and the binary relation is an instance of antisymmetric relation

Show full definition with tree view
Show simplified definition (without tree view)
Show simplified definition (with tree view)

Sigma web home Suggested Upper Merged Ontology (SUMO) web home
Sigma version 3.0 is open source software produced by Articulate Software and its partners

KB Term:			Term intersection

English Word: