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The Stacks project

Lemma 88.16.4. Let $S$ be a scheme. Let $f : X \to Y$ and $g : Y \to Z$ be morphisms of locally Noetherian formal algebraic spaces over $S$. If $f$ and $g$ are rig-flat, then so is $g \circ f$.

Proof. By Formal Spaces, Remark 87.21.14 this follows from Lemma 88.15.10. $\square$

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