Lemma 64.12.2. Let $S \in \mathop{\mathrm{Ob}}\nolimits (\mathit{Sch}_{fppf})$ be a scheme. A composition of (closed, resp. open) immersions of algebraic spaces over $S$ is a (closed, resp. open) immersion of algebraic spaces over $S$.

**Proof.**
See Lemma 64.5.4 and Remarks 64.4.3 (see very last line of that remark) and 64.4.2.
$\square$

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