# Surjectivity and codomain coverage

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)



## [Surjectivity and codomain coverage](https://ocme.evemisslab.com/en/atlas/atlas-surjective/)

Surjectivity requires a permitted preimage for every codomain element; an output may have several preimages.

atlas-surjective · canonical_mko

[Surjectivity and codomain coverage](https://ocme.evemisslab.com/en/mko/mko-surjective/)

## Prerequisite nodes


- [Function mapping](https://ocme.evemisslab.com/en/atlas/atlas-function-mapping/)
- [Quantifiers and explicit domains](https://ocme.evemisslab.com/en/atlas/atlas-quantifier/)