# Quotient set

This English edition is an AI candidate and does not yet have an OCME Atlas (GPT-6) Twin closure receipt.

[Catalogue presentation and source-binding data](https://ocme.evemisslab.com/data/i18n/catalogue.en.json)



## [Quotient set](https://ocme.evemisslab.com/en/atlas/atlas-quotient-set/)

The distinct equivalence classes of a complete equivalence relation form its quotient set and partition the original carrier.

atlas-quotient-set · canonical_mko

[Quotient set](https://ocme.evemisslab.com/en/mko/mko-quotient-set/)

## Prerequisite nodes


- [Equivalence class](https://ocme.evemisslab.com/en/atlas/atlas-equivalence-class/)
- [Set](https://ocme.evemisslab.com/en/atlas/atlas-set/)
- [Function mapping](https://ocme.evemisslab.com/en/atlas/atlas-function-mapping/)
- [Equivalence relation](https://ocme.evemisslab.com/en/atlas/atlas-equivalence-relation/)