Lemma 67.39.9 (06LT)—The Stacks project

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Table of contents
Part 4: Algebraic Spaces
Chapter 67: Morphisms of Algebraic Spaces
Section 67.39: Étale morphisms
Lemma 67.39.9 (cite)

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Lemma 67.39.9. An étale morphism of algebraic spaces is locally of finite type.

Proof. An étale morphism is locally of finite presentation and a morphism locally of finite presentation is locally of finite type, see Lemmas 67.39.8 and 67.28.5. $\square$

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