Browsing Interface : Welcome guest : log in
Home |  Graph |  ]  KB:  Language:   

Formal Language: 



KB Term:  Term intersection
English Word: 

Sigma KEE - equivalenceRelationOn
equivalenceRelationOn

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


s__documentation(s__equivalenceRelationOn__m,s__ChineseLanguage,'"一个 BinaryRelation 在一个 SetOrClassequivalenceRelationOn,除非这个关系在这个 SetOrClassreflexiveOn, 而且也要既是 TransitiveRelation,又是 SymmetricRelation。"')

chinese_format.kif 2055-2057
s__documentation(s__equivalenceRelationOn__m,s__EnglishLanguage,'"A BinaryRelation is an equivalenceRelationOn a SetOrClass only if the relation is reflexiveOn the SetOrClass and it is both a TransitiveRelation and a SymmetricRelation."')

Merge.kif 3545-3548
s__domain(s__equivalenceRelationOn__m,n__1,s__BinaryRelation)

Merge.kif 3542-3542 The number 1 argument of equivalence relation on is an instance of binary relation
s__domain(s__equivalenceRelationOn__m,n__2,s__SetOrClass)

Merge.kif 3543-3543 The number 2 argument of equivalence relation on is an instance of set or class
s__instance(s__equivalenceRelationOn__m,s__AsymmetricRelation)

s__instance(s__AsymmetricRelation,s__SetOrClass)

Merge.kif 3541-3541 equivalence relation on is an instance of asymmetric relation
s__instance(s__BinaryPredicate,s__SetOrClass)

s__instance(s__equivalenceRelationOn__m,s__BinaryPredicate)

Merge.kif 3540-3540 equivalence relation on is an instance of binary predicate

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


s__format(s__ChineseLanguage,s__equivalenceRelationOn__m,'"%1 和 %2 %n 是 EquivalenceRelation"')

chinese_format.kif 99-99
s__format(s__EnglishLanguage,s__equivalenceRelationOn__m,'"%1 is %n an equivalence relation on %2"')

english_format.kif 99-99
s__termFormat(s__ChineseLanguage,s__equivalenceRelationOn__m,'"属于等价关系"')

chinese_format.kif 100-100
s__termFormat(s__ChineseLanguage,s__equivalenceRelationOn__m,'"等价关系"')

domainEnglishFormat.kif 22285-22285
s__termFormat(s__ChineseTraditionalLanguage,s__equivalenceRelationOn__m,'"等價關係"')

domainEnglishFormat.kif 22284-22284
s__termFormat(s__EnglishLanguage,s__equivalenceRelationOn__m,'"equivalence relation on"')

domainEnglishFormat.kif 22283-22283

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


( ! [V__RELATION,V__CLASS] :
   ((s__instance(V__RELATION,s__BinaryRelation) &
       s__instance(V__CLASS,s__SetOrClass))
     =>
     s__equivalenceRelationOn(V__RELATION,V__CLASS)
   =>
   (s__instance(V__RELATION,s__TransitiveRelation) &
     s__instance(V__RELATION,s__SymmetricRelation) &
     s__reflexiveOn(V__RELATION,V__CLASS))
)
)

Merge.kif 3550-3555


Show full definition with tree view
Show simplified definition (without tree view)
Show simplified definition (with tree view)



Sigma web home      Suggested Upper Merged Ontology (SUMO) web home
Sigma version 2.99c (>= 2017/11/20) is open source software produced by Articulate Software and its partners