Lemma 67.28.8 (06G5)—The Stacks project

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Part 4: Algebraic Spaces
Chapter 67: Morphisms of Algebraic Spaces
Section 67.28: Morphisms of finite presentation
Lemma 67.28.8 (cite)

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Lemma 67.28.8. Let $S$ be a scheme. Let $Y$ be an algebraic space over $S$ which is quasi-compact and quasi-separated. If $X$ is of finite presentation over $Y$, then $X$ is quasi-compact and quasi-separated.

Proof. Omitted. $\square$

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