# Category:Equivalence Classes

This category contains results about Equivalence Classes.

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:

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

## Subcategories

This category has the following 3 subcategories, out of 3 total.

## Pages in category "Equivalence Classes"

The following 15 pages are in this category, out of 15 total.