---
tag: 0011MTQMR6
kind: concept
name: Quotient set
aliases: [quotient-by-an-equivalence-relation]
msc: ["03E20"]
sources:
  - url: https://en.wikipedia.org/wiki/Equivalence_class
    locator: Definition and notation
---

## Summary

The quotient set of a set by an equivalence relation is the set of all equivalence classes.