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Aug 17, 2021 at 16:21 vote accept Gabriel
Aug 16, 2021 at 21:28 comment added Gabriel Dear @DanPetersen, I surely don't know enough to appreciate the $\infty$-categorical stuff, even though I appreciate immensely your answer. I think that my proposed proof (please check the edit in the post) works without Spaltenstein's (*) condition, but I could very well be wrong. Thanks for the references in Condensed Mathematics. (I have some doubts about it but it's probably better if I ask them in another question.)
Aug 16, 2021 at 18:08 history edited Dan Petersen CC BY-SA 4.0
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Aug 16, 2021 at 17:40 history answered Dan Petersen CC BY-SA 4.0