# Usual order on the real numbers

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)



## [Usual order on the real numbers](https://ocme.evemisslab.com/en/atlas/atlas-order-relation/)

The usual real order compares real values and supports finite nonempty extrema, closed intervals, and translation by a common addend.

atlas-order-relation · canonical_mko

[Usual order on the real numbers](https://ocme.evemisslab.com/en/mko/mko-order-relation/)

## Prerequisite nodes


- [Real number](https://ocme.evemisslab.com/en/atlas/atlas-real-number/)
- [Rational number](https://ocme.evemisslab.com/en/atlas/atlas-rational-number/)