Remark 70.13.2. We have seen in Examples, Section 110.29 that Lemma 70.13.1 does not hold if we drop the assumption that $X$ be locally separated. This raises the question: Does Lemma 70.13.1 hold if we drop the assumption that $X$ be quasi-separated? If you know the answer, please email stacks.project@gmail.com.
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