The Stacks project

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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