Lemma 75.7.15. Let $S$ be a scheme. Let $f : X \to Y$ be a morphism of algebraic spaces over $S$. If $f$ is locally of finite presentation, then $\Omega _{X/Y}$ is an $\mathcal{O}_ X$-module of finite presentation.

**Proof.**
Follows from the schemes version, see Morphisms, Lemma 29.32.13 and étale localization, see Lemma 75.7.3.
$\square$

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