# Cardinality comparison of sets

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)



## [Cardinality comparison of sets](https://ocme.evemisslab.com/en/atlas/atlas-cardinality-comparison/)

An injection, surjection or bijection between explicit finite source and target sets supplies a corresponding finite cardinality-comparison certificate.

atlas-cardinality-comparison · canonical_mko

[Cardinality comparison of sets](https://ocme.evemisslab.com/en/mko/mko-cardinality-comparison/)

## Prerequisite nodes


- [Injectivity and distinct inputs](https://ocme.evemisslab.com/en/atlas/atlas-injective/)
- [Surjectivity and codomain coverage](https://ocme.evemisslab.com/en/atlas/atlas-surjective/)
- [Bijectivity and unique preimages](https://ocme.evemisslab.com/en/atlas/atlas-bijective/)
- [Set](https://ocme.evemisslab.com/en/atlas/atlas-set/)