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Sigma KEE - AntisymmetricRelation
AntisymmetricRelation

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 subclass AntisymmetricRelation and BinaryRelation

appearance as argument number 2
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(disjoint SymmetricRelation AntisymmetricRelation) Merge.kif 2168-2168 disjoint SymmetricRelation and AntisymmetricRelation
(instance keyName AntisymmetricRelation) Media.kif 3244-3244 instance keyName and AntisymmetricRelation
(instance legalGuardian AntisymmetricRelation) Mid-level-ontology.kif 21324-21324 instance legalGuardian and AntisymmetricRelation
(instance located AntisymmetricRelation) Merge.kif 3918-3918 instance located and AntisymmetricRelation
(instance stored AntisymmetricRelation) Mid-level-ontology.kif 11996-11996 instance stored and AntisymmetricRelation
(instance subString AntisymmetricRelation) Mid-level-ontology.kif 22172-22172 instance subString and AntisymmetricRelation
(subclass AsymmetricRelation AntisymmetricRelation) Merge.kif 2182-2182 subclass AsymmetricRelation and AntisymmetricRelation
(subclass PartialOrderingRelation AntisymmetricRelation) Merge.kif 2267-2267 subclass PartialOrderingRelation and AntisymmetricRelation
(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 instance Entity and AsymmetricRelation instance Entity and AntisymmetricRelation instance Entity and IrreflexiveRelation
(=>
    (partialOrderingOn ?RELATION ?CLASS)
    (and
        (reflexiveOn ?RELATION ?CLASS)
        (instance ?RELATION TransitiveRelation)
        (instance ?RELATION AntisymmetricRelation)))
Merge.kif 3524-3529


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