The Stacks project

Lemma 88.13.7. 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 flat, then so is $g \circ f$.

Proof. Combine Formal Spaces, Remark 87.21.14 and Lemma 88.13.3. $\square$

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