Lemma 17.14.2 (01C7)—The Stacks project

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Table of contents
Part 1: Preliminaries
Chapter 17: Sheaves of Modules
Section 17.14: Locally free sheaves
Lemma 17.14.2 (cite)

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Lemma 17.14.2. Let $(X, \mathcal{O}_ X)$ be a ringed space. Let $\mathcal{F}$ be a sheaf of $\mathcal{O}_ X$ -modules. If $\mathcal{F}$ is locally free then it is quasi-coherent.

Proof. Omitted. $\square$

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