# Category:Examples of Equivalence Classes

This category contains examples of Equivalence Class.

Let $S$ be a set.

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

Let $x \in S$.

Then the equivalence class of $x$ under $\RR$ is the set:

$\eqclass x \RR = \set {y \in S: \tuple {x, y} \in \RR}$

## Pages in category "Examples of Equivalence Classes"

The following 5 pages are in this category, out of 5 total.