Browsing Interface
: Welcome guest :
log in
[
Home
| 
Graph
| 
LogLearn
|
Editor
| ]
KB:
SUMO
Language:
ChineseLanguage
ChinesePinyinWriting
ChineseSimplifiedWriting
ChineseTraditionalLanguage
EnglishGroupLanguage
EnglishLanguage
FrenchLanguage
GermanLanguage
JapaneseLanguage
SpanishLanguage
SwedishLanguage
expectedYearOfGraduation
measuringListInterval
Formal Language:
OWL
SUO-KIF
TPTP
traditionalLogic
KB Term:
Term intersection
English Word:
Any
Noun
Verb
Adjective
Adverb
equivalenceRelationOn
Sigma KEE - equivalenceRelationOn
equivalenceRelationOn
appearance as argument number 1
(
instance
equivalenceRelationOn
BinaryPredicate
)
Merge.kif 3810-3810
equivalence relation on
is an
instance
of
binary predicate
(
domain
equivalenceRelationOn
1
BinaryRelation
)
Merge.kif 3811-3811
The number 1 argument of
equivalence relation on
is an
instance
of
binary relation
(
domain
equivalenceRelationOn
2
Class
)
Merge.kif 3812-3812
The number 2 argument of
equivalence relation on
is an
instance
of
class
(
documentation
equivalenceRelationOn
EnglishLanguage
"A
BinaryRelation
is an
equivalenceRelationOn
a
Class
only if the relation is
reflexiveOn
the
Class
and it is both a
TransitiveRelation
and a
SymmetricRelation
.")
Merge.kif 3814-3817
The number 2 argument of
equivalence relation on
is an
instance
of
class
appearance as argument number 2
(
termFormat
EnglishLanguage
equivalenceRelationOn
"equivalence relation on")
domainEnglishFormat.kif 22357-22357
(
termFormat
ChineseTraditionalLanguage
equivalenceRelationOn
"等價關係")
domainEnglishFormat.kif 22358-22358
(
termFormat
ChineseLanguage
equivalenceRelationOn
"等价关系")
domainEnglishFormat.kif 22359-22359
(
format
EnglishLanguage
equivalenceRelationOn
"%1 is %n an equivalence relation on %2")
english_format.kif 99-99
antecedent
(=>
(
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
Show simplified definition (without tree view)
Show simplified definition (with tree view)
Show without tree
Sigma web home
Suggested Upper Merged Ontology (SUMO) web home
Sigma version 3.0.0-
0a80e6c8
(2026-05-12) is
open source software
produced by
Articulate Software
and its partners