The Stacks project

Lemma 61.27.3. Let $X$ be a scheme. Let $\Lambda $ be a Noetherian ring. The category of constructible sheaves of $\Lambda $-modules on $X_{pro\text{-}\acute{e}tale}$ is a weak Serre subcategory of $\textit{Mod}(X_{pro\text{-}\acute{e}tale}, \Lambda )$.

Proof. This is a formal consequence of Lemmas 61.27.2 and 61.19.8 and the result for the étale site (Étale Cohomology, Lemma 59.71.6). $\square$

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