The Stacks project

Lemma 88.12.6. Let $\varphi : A \to B$ be an arrow of $\textit{WAdm}^{Noeth}$. If $\varphi $ is adic the following are equivalent

  1. $\varphi $ satisfies the condition defined in Lemma 88.12.1 and

  2. $\varphi $ satisfies the condition defined in Lemma 88.11.1.

Proof. Omitted. Hint: For the proof of (1) $\Rightarrow $ (2) use Lemma 88.12.5. $\square$

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