The Stacks project

Lemma 65.12.3. Let $S \in \mathop{\mathrm{Ob}}\nolimits (\mathit{Sch}_{fppf})$ be a scheme. A base change of a (closed, resp. open) immersion of algebraic spaces over $S$ is a (closed, resp. open) immersion of algebraic spaces over $S$.

Proof. See Lemma 65.5.5 and Remark 65.4.3 (see very last line of that remark). $\square$

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