Lemma 88.13.3 (0GCB)—The Stacks project

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Table of contents
Part 5: Topics in Geometry
Chapter 88: Algebraization of Formal Spaces
Section 88.13: Flat morphisms
Lemma 88.13.3 (cite)

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Lemma 88.13.3. Denote $P$ the property of arrows of $\textit{WAdm}^{Noeth}$ defined in Lemma 88.13.1. Then $P$ is stable under composition (Formal Spaces, Remark 87.21.14).

Proof. This is true because compositions of flat ring maps are flat. $\square$

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