# Supremum and infimum

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)



## [Supremum and infimum](https://ocme.evemisslab.com/en/atlas/atlas-supremum-and-infimum/)

For a nonempty appropriately bounded real set, the supremum is its least upper bound and the infimum its greatest lower bound; either need not belong to the set.

atlas-supremum-and-infimum · canonical_mko

[Supremum and infimum](https://ocme.evemisslab.com/en/mko/mko-supremum-and-infimum/)

## Prerequisite nodes


- [Real number](https://ocme.evemisslab.com/en/atlas/atlas-real-number/)
- [Usual order on the real numbers](https://ocme.evemisslab.com/en/atlas/atlas-order-relation/)
- [Set](https://ocme.evemisslab.com/en/atlas/atlas-set/)
- [Quantifiers and explicit domains](https://ocme.evemisslab.com/en/atlas/atlas-quantifier/)