Lemma 30.26.3 (0CYN)—The Stacks project

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Table of contents
Part 2: Schemes
Chapter 30: Cohomology of Schemes
Section 30.26: Being proper over a base
Lemma 30.26.3 (cite)

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Lemma 30.26.3. Let $f : X \to S$ be a morphism of schemes which is locally of finite type. Let $Y \subset Z \subset X$ be closed subsets. If $Z$ is proper over $S$ , then the same is true for $Y$ .

Proof. Omitted. $\square$

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