Definition:Equivalence Class/Representative

Definition
Let $S$ be a set.

Let $\RR \subseteq S \times S$ be an equivalence relation on $S$.

Let $x \in S$.

Let $\eqclass x \RR$ be the equivalence class of $x$ under $\RR$.

Let $y \in \eqclass x \RR$.

Then $y$ is a '''representative of $\eqclass x \RR$.