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KB Term:  Term intersection
English Word: 

Sigma KEE - trichotomizingOn
trichotomizingOn

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


(instance trichotomizingOn BinaryPredicate) Merge.kif 3787-3787 trichotomizing on is an instance of binary predicate
(domain trichotomizingOn 1 BinaryRelation) Merge.kif 3788-3788 The number 1 argument of trichotomizing on is an instance of binary relation
(domain trichotomizingOn 2 Class) Merge.kif 3789-3789 The number 2 argument of trichotomizing on is an instance of class
(documentation trichotomizingOn EnglishLanguage "A BinaryRelation ?REL is trichotomizing on a Class only if, for all instances ?INST1 and ?INST2 of the Class, at least one of the following holds: (?REL ?INST1 ?INST2), (?REL ?INST2 ?INST1) or (equal ?INST1 ?INST2).") Merge.kif 3791-3794 The number 2 argument of trichotomizing on is an instance of class

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


(termFormat EnglishLanguage trichotomizingOn "trichotomizing on") domainEnglishFormat.kif 59161-59161
(termFormat ChineseTraditionalLanguage trichotomizingOn "trichotomizing") domainEnglishFormat.kif 59162-59162
(termFormat ChineseLanguage trichotomizingOn "trichotomizing") domainEnglishFormat.kif 59163-59163
(format EnglishLanguage trichotomizingOn "%1 is %n trichotomizing on %2") english_format.kif 196-196

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


(=>
    (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
(=>
    (and
        (trichotomizingOn ?RELATION ?CLASS)
        (instance ?RELATION RelationExtendedToQuantities))
    (forall (?INST1 ?INST2)
        (=>
            (and
                (instance ?INST1 ?CLASS)
                (instance ?INST2 ?CLASS))
            (or
                (?RELATION ?INST1 ?INST2)
                (?RELATION ?INST2 ?INST1)
                (equal ?INST1 ?INST2)))))
Merge.kif 3796-3808 If X is trichotomizing on Y and X is an instance of relation extended to quantities, then For all Entities Z and W: if Z is an instance of Y and W is an instance of Y, then At least one of the following holds: (1) X Z and W (2) X W and Z (3) equal Z and W

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

appearance as argument number 0
-------------------------


(trichotomizingOn lessThan RealNumber) Merge.kif 1938-1938 less than is trichotomizing on real number
(trichotomizingOn greaterThan RealNumber) Merge.kif 1950-1950 greater than is trichotomizing on real number
(trichotomizingOn lessThanOrEqualTo RealNumber) Merge.kif 1962-1962 less than or equal to is trichotomizing on real number
(trichotomizingOn greaterThanOrEqualTo RealNumber) Merge.kif 1979-1979 greater than or equal to is trichotomizing on real number


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