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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 2242-2247
(subclass AntisymmetricRelation BinaryRelation) Merge.kif 2240-2240

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


(disjoint SymmetricRelation AntisymmetricRelation) Merge.kif 2209-2209
(instance keyName AntisymmetricRelation) Media.kif 3262-3262
(instance legalGuardian AntisymmetricRelation) Mid-level-ontology.kif 22909-22909
(instance located AntisymmetricRelation) Merge.kif 3988-3988
(instance stored AntisymmetricRelation) Mid-level-ontology.kif 13867-13867
(instance subString AntisymmetricRelation) Mid-level-ontology.kif 23855-23855
(subclass AsymmetricRelation AntisymmetricRelation) Merge.kif 2223-2223
(subclass PartialOrderingRelation AntisymmetricRelation) Merge.kif 2314-2314
(termFormat ChineseLanguage AntisymmetricRelation "反对称关系") chinese_format.kif 897-897
(termFormat EnglishLanguage AntisymmetricRelation "antisymmetric relation") english_format.kif 996-996

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


(=>
    (and
        (instance ?REL AntisymmetricRelation)
        (instance ?REL IrreflexiveRelation))
    (instance ?REL AsymmetricRelation))
Merge.kif 2234-2238
(=>
    (instance ?REL AntisymmetricRelation)
    (forall (?INST1 ?INST2)
        (=>
            (and
                (?REL ?INST1 ?INST2)
                (?REL ?INST2 ?INST1))
            (equal ?INST1 ?INST2))))
Merge.kif 2249-2256

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


(=>
    (instance ?REL AsymmetricRelation)
    (and
        (instance ?REL AntisymmetricRelation)
        (instance ?REL IrreflexiveRelation)))
Merge.kif 2228-2232
(=>
    (partialOrderingOn ?RELATION ?CLASS)
    (and
        (reflexiveOn ?RELATION ?CLASS)
        (instance ?RELATION TransitiveRelation)
        (instance ?RELATION AntisymmetricRelation)))
Merge.kif 3586-3591


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