Lemma 29.36.6 (03WS)—The Stacks project

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Part 2: Schemes
Chapter 29: Morphisms of Schemes
Section 29.36: Étale morphisms
Lemma 29.36.6 (cite)

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Lemma 29.36.6. An étale morphism is locally quasi-finite.

Proof. By Lemma 29.36.5 an étale morphism is unramified. By Lemma 29.35.10 an unramified morphism is locally quasi-finite. $\square$

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