# Equivalence class

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)



## [Equivalence class](https://ocme.evemisslab.com/en/atlas/atlas-equivalence-class/)

For a fixed complete equivalence relation, the class of an element a consists of every carrier element related to a.

atlas-equivalence-class · canonical_mko

[Equivalence class](https://ocme.evemisslab.com/en/mko/mko-equivalence-class/)

## Prerequisite nodes


- [Equivalence relation](https://ocme.evemisslab.com/en/atlas/atlas-equivalence-relation/)
- [Set membership](https://ocme.evemisslab.com/en/atlas/atlas-set-membership/)
- [Subset](https://ocme.evemisslab.com/en/atlas/atlas-subset/)