Lemma 70.14.7. Let $S$ be a scheme. Let $f : X \to Y$ be a morphism of algebraic spaces over $S$. Then $f$ is quasi-affine if and only if $\mathcal{O}_ X$ is $f$-relatively ample.

**Proof.**
Follows from the case of schemes, see Morphisms, Lemma 29.37.6.
$\square$

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