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KB Term:  Term intersection
English Word: 

Sigma KEE - TotalOrderingRelation
TotalOrderingRelation(total ordering relation)

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


(subclass TotalOrderingRelation PartialOrderingRelation) Merge.kif 2484-2484 Total ordering relation is a subclass of partial ordering relation
(subclass TotalOrderingRelation TrichotomizingRelation) Merge.kif 2485-2485 Total ordering relation is a subclass of trichotomizing relation
(documentation TotalOrderingRelation EnglishLanguage "A BinaryRelation is a TotalOrderingRelation if it is a PartialOrderingRelation and a TrichotomizingRelation.") Merge.kif 2487-2489 Total ordering relation is a subclass of trichotomizing relation

appearance as argument number 2
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(termFormat EnglishLanguage TotalOrderingRelation "total ordering relation") english_format.kif 1015-1015

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


(=>
    (instance ?REL TotalOrderingRelation)
    (forall (?INST1 ?INST2)
        (and
            (or
                (?REL ?INST1 ?INST2)
                (?REL ?INST2 ?INST1))
            (or
                (not
                    (?REL ?INST1 ?INST2))
                (not
                    (?REL ?INST2 ?INST1))))))
Merge.kif 2491-2500 If X is an instance of total ordering relation, then For all Entities Y and Z: X Y and Z or X Z and Y and X Y and Z or X Z and Y


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