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IrreflexiveRelation
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| appearance as argument number 1 |
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| (subclass IrreflexiveRelation BinaryRelation) | Merge.kif 2359-2359 | Irreflexive relation is a subclass of binary relation |
| (documentation IrreflexiveRelation EnglishLanguage "Relation ?REL is irreflexive iff (?REL ?INST ?INST) holds for no value of ?INST.") | Merge.kif 2361-2362 | Irreflexive relation is a subclass of binary relation |
| (externalImage IrreflexiveRelation "http://upload.wikimedia.org/wikipedia/ en/ 0/ 0b/ GreaterThanOrEqualTo.png") | pictureList.kif 8550-8550 | Irreflexive relation is a subclass of binary relation |
| (externalImage IrreflexiveRelation "http://upload.wikimedia.org/wikipedia/ en/ 5/ 59/ GreaterThan.png") | pictureList.kif 9356-9356 | Irreflexive relation is a subclass of binary relation |
| appearance as argument number 2 |
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| antecedent |
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| (=> (instance ?REL IrreflexiveRelation) (forall (?INST) (not (?REL ?INST ?INST)))) |
Merge.kif 2364-2368 | If X is an instance of irreflexive relation, then For all Entity Y: X Y and Y |
| (=> (and (instance ?REL AntisymmetricRelation) (instance ?REL IrreflexiveRelation)) (instance ?REL AsymmetricRelation)) |
Merge.kif 2396-2400 | If X is an instance of antisymmetric relation and X is an instance of irreflexive relation, then X is an instance of asymmetric relation |
| consequent |
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| (=> (instance ?REL AsymmetricRelation) (and (instance ?REL AntisymmetricRelation) (instance ?REL IrreflexiveRelation))) |
Merge.kif 2390-2394 | If X is an instance of asymmetric relation, then X is an instance of antisymmetric relation and X is an instance of irreflexive relation |