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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
partialOrderingOn
Sigma KEE - partialOrderingOn
partialOrderingOn
appearance as argument number 1
(
instance
partialOrderingOn
BinaryPredicate
)
Merge.kif 3750-3750
partial ordering on
is an
instance
of
binary predicate
(
domain
partialOrderingOn
1
BinaryRelation
)
Merge.kif 3751-3751
The number 1 argument of
partial ordering on
is an
instance
of
binary relation
(
domain
partialOrderingOn
2
Class
)
Merge.kif 3752-3752
The number 2 argument of
partial ordering on
is an
instance
of
class
(
documentation
partialOrderingOn
EnglishLanguage
"A
BinaryRelation
is a partial ordering on a
Class
only if the relation is
reflexiveOn
the
Class
, and it is both an
AntisymmetricRelation
, and a
TransitiveRelation
.")
Merge.kif 3754-3757
The number 2 argument of
partial ordering on
is an
instance
of
class
appearance as argument number 2
(
termFormat
EnglishLanguage
partialOrderingOn
"partial ordering on")
domainEnglishFormat.kif 44537-44537
(
termFormat
ChineseTraditionalLanguage
partialOrderingOn
"部分訂購在")
domainEnglishFormat.kif 44538-44538
(
termFormat
ChineseLanguage
partialOrderingOn
"部分订购在")
domainEnglishFormat.kif 44539-44539
(
format
EnglishLanguage
partialOrderingOn
"%1 is %n
part
ial ordering on %2")
english_format.kif 164-164
antecedent
(=>
(
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
(=>
(
and
(
partialOrderingOn
?RELATION ?CLASS)
(
trichotomizingOn
?RELATION ?CLASS))
(
totalOrderingOn
?RELATION ?CLASS))
Merge.kif 3781-3785
If
X
is
partial
ordering on
Y
and
X
is
trichotomizing
on
Y
, then
X
is
total
ordering
on
Y
consequent
(=>
(
totalOrderingOn
?RELATION ?CLASS)
(
and
(
partialOrderingOn
?RELATION ?CLASS)
(
trichotomizingOn
?RELATION ?CLASS)))
Merge.kif 3775-3779
If
X
is
total
ordering
on
Y
, then
X
is
partial
ordering on
Y
and
X
is
trichotomizing
on
Y
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Sigma version 3.0.0-
0a80e6c8
(2026-05-12) is
open source software
produced by
Articulate Software
and its partners