# Real vector subspace

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)



## [Real vector subspace](https://ocme.evemisslab.com/en/atlas/atlas-vector-subspace/)

A nonempty subset of a real vector space is a subspace when it contains zero and is closed under vector addition and multiplication by every real scalar.

atlas-vector-subspace · canonical_mko

[Real vector subspace](https://ocme.evemisslab.com/en/mko/mko-vector-subspace/)

## Prerequisite nodes


- [Real vector space](https://ocme.evemisslab.com/en/atlas/atlas-real-vector-space/)
- [Subset](https://ocme.evemisslab.com/en/atlas/atlas-subset/)
- [Quantifiers and explicit domains](https://ocme.evemisslab.com/en/atlas/atlas-quantifier/)