| AntisymmetricRelation(反対称関係) | |
| appearance as argument number 1 |
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| (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。") | Merge.kif 2428-2432 | |
| (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 2422-2427 | |
| (subclass AntisymmetricRelation BinaryRelation) | Merge.kif 2421-2421 | subclass 反対称関係 and 2項関係 |
| appearance as argument number 2 |
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| antecedent |
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| (=> (instance ?REL AntisymmetricRelation) (forall (?INST1 ?INST2) (=> (and (?REL ?INST1 ?INST2) (?REL ?INST2 ?INST1)) (equal ?INST1 ?INST2)))) |
Merge.kif 2434-2441 |
| consequent |
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| (<=> (instance ?REL AsymmetricRelation) (and (instance ?REL AntisymmetricRelation) (instance ?REL IrreflexiveRelation))) |
Merge.kif 2415-2419 | instance エンティティー and 非対称関係 instance エンティティー and 反対称関係 instance エンティティー and 非反射関係 |
| (=> (partialOrderingOn ?RELATION ?CLASS) (and (reflexiveOn ?RELATION ?CLASS) (instance ?RELATION TransitiveRelation) (instance ?RELATION AntisymmetricRelation))) |
Merge.kif 3768-3773 |
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