# Intermediate value theorem

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)



## [Intermediate value theorem](https://ocme.evemisslab.com/en/atlas/atlas-intermediate-value-theorem/)

A continuous real function on a closed interval attains each value between its endpoint values.

atlas-intermediate-value-theorem · canonical_mko

[Intermediate value theorem](https://ocme.evemisslab.com/en/mko/mko-intermediate-value-theorem/)

## Prerequisite nodes


- [Point values and continuity of real functions](https://ocme.evemisslab.com/en/atlas/atlas-continuity/)
- [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/)
- [Function mapping](https://ocme.evemisslab.com/en/atlas/atlas-function-mapping/)
- [Supremum and infimum](https://ocme.evemisslab.com/en/atlas/atlas-supremum-and-infimum/)