Lemma 29.40.3 (0C4M)—The Stacks project

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Table of contents
Part 2: Schemes
Chapter 29: Morphisms of Schemes
Section 29.40: Quasi-projective morphisms
Lemma 29.40.3 (cite)

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Lemma 29.40.3. Let $f : X \to Y$ and $g : Y \to S$ be morphisms of schemes. If $S$ is quasi-compact and $f$ and $g$ are quasi-projective, then $g \circ f$ is quasi-projective.

Proof. This follows from Lemmas 29.15.3 and 29.37.8. $\square$

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