# Transitive Relation/Examples/Is an Ancestor of

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## Example of Transitive Relation

Let $P$ be the set of people.

Let $\sim$ be the relation on $P$ defined as:

$\forall \tuple {x, y} \in P \times P: x \sim y \iff \text {$x$is an ancestor of$y$}$

Then $\sim$ is a transitive relation.