The Stacks project

Lemma 34.3.11. Let $S$ be a scheme. Let $\mathit{Sch}_{Zar}$ be a big Zariski site containing $S$. The functor $S_{affine, Zar} \to S_{Zar}$ is a special cocontinuous functor. Hence it induces an equivalence of topoi from $\mathop{\mathit{Sh}}\nolimits (S_{affine, Zar})$ to $\mathop{\mathit{Sh}}\nolimits (S_{Zar})$.

Proof. Omitted. Hint: compare with the proof of Lemma 34.3.10. $\square$

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