nLab trichotomous relation

Redirected from "trichotomy".

Contents

 Definition

A trichotomous relation on a set SS is a relation R(x,y)R(x, y) which satisfies trichotomy:

  • for all xSx \in S and ySy \in S, exactly one of R(x,y)R(x, y), R(y,x)R(y, x), x=yx = y is true.

 Examples

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