Lemma 29.20.16 (01TN)—The Stacks project

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Part 2: Schemes
Chapter 29: Morphisms of Schemes
Section 29.20: Quasi-finite morphisms
Lemma 29.20.16 (cite)

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Lemma 29.20.16. Any immersion is locally quasi-finite.

Proof. This is true because an open immersion is a local isomorphism and a closed immersion is clearly quasi-finite. $\square$

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