Lemma 87.12.6. Let $\varphi : A \to B$ be an arrow of $\textit{WAdm}^{Noeth}$. If $\varphi $ is adic the following are equivalent

**Proof.**
Omitted. Hint: For the proof of (1) $\Rightarrow $ (2) use Lemma 87.12.5.
$\square$

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