Lemma 87.12.4. Let $\varphi : A \to B$ be an arrow of $\textit{WAdm}^{count}$. If $\varphi $ is taut and topologically of finite type, then $\varphi $ satisfies the condition defined in Lemma 87.12.1.

**Proof.**
This is an easy consequence of the definitions.
$\square$

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