# Equivalence Relation/Examples/People with Same Parents

## Example of Equivalence Relation

Let $P$ be the set of people.

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

$\forall \tuple {x, y} \in P \times P: x \sim y \iff \text { both of the parents of$x$and$y$are the same}$

Then $\sim$ is an equivalence relation.