# Equivalence relation

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 relation](https://ocme.evemisslab.com/en/atlas/atlas-equivalence-relation/)

A relation on a fixed carrier is an equivalence relation when it fully satisfies reflexivity, symmetry and transitivity.

atlas-equivalence-relation · canonical_mko

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

## Prerequisite nodes


- [Binary relations and set projections](https://ocme.evemisslab.com/en/atlas/atlas-relation/)
- [Logical connectives](https://ocme.evemisslab.com/en/atlas/atlas-logical-connectives/)
- [Quantifiers and explicit domains](https://ocme.evemisslab.com/en/atlas/atlas-quantifier/)