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KB Term:  Term intersection
English Word: 

  reflexiveOn

Sigma KEE - reflexiveOn
reflexiveOn

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


(instance reflexiveOn BinaryPredicate) Merge.kif 3713-3713 reflexive on is an instance of binary predicate
(domain reflexiveOn 1 BinaryRelation) Merge.kif 3714-3714 The number 1 argument of reflexive on is an instance of binary relation
(domain reflexiveOn 2 Class) Merge.kif 3715-3715 The number 2 argument of reflexive on is an instance of class
(documentation reflexiveOn EnglishLanguage "A BinaryRelation is reflexive on a Class only if every instance of the Class bears the relation to itself.") Merge.kif 3717-3719 The number 2 argument of reflexive on is an instance of class

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


(termFormat EnglishLanguage reflexiveOn "reflexive on") domainEnglishFormat.kif 49131-49131
(termFormat ChineseTraditionalLanguage reflexiveOn "反思在") domainEnglishFormat.kif 49132-49132
(termFormat ChineseLanguage reflexiveOn "反思在") domainEnglishFormat.kif 49133-49133
(format EnglishLanguage reflexiveOn "%1 is %n reflexive on %2") english_format.kif 180-180

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


(=>
    (and
        (instance ?RELATION ReflexiveRelation)
        (reflexiveOn ?RELATION ?CLASS)
        (instance ?RELATION Predicate))
    (forall (?INST)
        (=>
            (instance ?INST ?CLASS)
            (?RELATION ?INST ?INST))))
Merge.kif 3721-3729 If X is an instance of reflexive relation, X is reflexive on Y, and X is an instance of predicate, then For all Entity Z: if Z is an instance of Y, then X Z and Z

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


(=>
    (partialOrderingOn ?RELATION ?CLASS)
    (and
        (reflexiveOn ?RELATION ?CLASS)
        (instance ?RELATION TransitiveRelation)
        (instance ?RELATION AntisymmetricRelation)))
Merge.kif 3759-3764 If X is partial ordering on Y, then X is reflexive on Y, X is an instance of transitive relation, and X is an instance of antisymmetric relation
(=>
    (equivalenceRelationOn ?RELATION ?CLASS)
    (and
        (instance ?RELATION TransitiveRelation)
        (instance ?RELATION SymmetricRelation)
        (reflexiveOn ?RELATION ?CLASS)))
Merge.kif 3819-3824 If X is an equivalence relation on Y, then X is an instance of transitive relation, X is an instance of symmetric relation, and X is reflexive on Y


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