# Partially Ordered Set

Let $P$ be a set and let $\leq$ be a relation on $P$. We say that $\leq$ is a partial order when it is reflexive, antisymmetric, and transitive. In this situation, we say that $(P, \leq)$ is a partially ordered set.

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Let $P$ be a set and let $\leq$ be a relation on $P$. We say that $\leq$ is a partial order when it is reflexive, antisymmetric, and transitive. In this situation, we say that $(P, \leq)$ is a partially ordered set.

- This page was last edited on 24 December 2018, at 02:46.