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The Stacks project

Lemma 65.12.2. 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 65.5.4 and Remarks 65.4.3 (see very last line of that remark) and 65.4.2. \square


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