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Sigma KEE - AntisymmetricRelation
AntisymmetricRelation(antisymmetric relation)

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


(documentation AntisymmetricRelation ChineseLanguage "一个 BinaryRelation ?REL 是 AntisymmetricRelation 如果不同的 ?INST1 和 ?INST2 是(?REL ?INST1 ?INST2) 不意味着 (?REL ?INST2 ?INST1)。也就是说当所有的 ?INST1 和 ?INST2 是 (?REL ?INST1 ?INST2)和 (?REL ?INST2 ?INST1) 意味着 ?INST1 和 ?INST2 是相同的。注:一个AntisymmetricRelation 有可能 是一个 ReflexiveRelation。") chinese_format.kif 1841-1845
(documentation AntisymmetricRelation EnglishLanguage "BinaryRelation ?REL is an AntisymmetricRelation if for distinct ?INST1 and ?INST2, (?REL ?INST1 ?INST2) implies not (?REL ?INST2 ?INST1). In other words, for all ?INST1 and ?INST2, (?REL ?INST1 ?INST2) and (?REL ?INST2 ?INST1) imply that ?INST1 and ?INST2 are identical. Note that it is possible for an AntisymmetricRelation to be a ReflexiveRelation.") Merge.kif 2195-2200
(subclass AntisymmetricRelation BinaryRelation) Merge.kif 2193-2193 Antisymmetric relation is a subclass of binary relation

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


(disjoint SymmetricRelation AntisymmetricRelation) Merge.kif 2168-2168 Symmetric relation is disjoint from antisymmetric relation
(instance keyName AntisymmetricRelation) Media.kif 3244-3244 keyName is an instance of antisymmetric relation
(instance legalGuardian AntisymmetricRelation) Mid-level-ontology.kif 21351-21351 legal guardian is an instance of antisymmetric relation
(instance located AntisymmetricRelation) Merge.kif 3887-3887 located is an instance of antisymmetric relation
(instance stored AntisymmetricRelation) Mid-level-ontology.kif 12023-12023 stored is an instance of antisymmetric relation
(instance subString AntisymmetricRelation) Mid-level-ontology.kif 22199-22199 subString is an instance of antisymmetric relation
(subclass AsymmetricRelation AntisymmetricRelation) Merge.kif 2182-2182 Asymmetric relation is a subclass of antisymmetric relation
(subclass PartialOrderingRelation AntisymmetricRelation) Merge.kif 2267-2267 Partial ordering relation is a subclass of antisymmetric relation
(termFormat ChineseLanguage AntisymmetricRelation "反对称关系") chinese_format.kif 897-897
(termFormat EnglishLanguage AntisymmetricRelation "antisymmetric relation") english_format.kif 1001-1001

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


(=>
    (instance ?REL AntisymmetricRelation)
    (forall (?INST1 ?INST2)
        (=>
            (and
                (?REL ?INST1 ?INST2)
                (?REL ?INST2 ?INST1))
            (equal ?INST1 ?INST2))))
Merge.kif 2202-2209

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


(<=>
    (instance ?REL AsymmetricRelation)
    (and
        (instance ?REL AntisymmetricRelation)
        (instance ?REL IrreflexiveRelation)))
Merge.kif 2187-2191 An entity is an instance of asymmetric relation if and only if the entity is an instance of antisymmetric relation and the entity is an instance of irreflexive relation
(=>
    (partialOrderingOn ?RELATION ?CLASS)
    (and
        (reflexiveOn ?RELATION ?CLASS)
        (instance ?RELATION TransitiveRelation)
        (instance ?RELATION AntisymmetricRelation)))
Merge.kif 3493-3498


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