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  • $\begingroup$ Last example: wow! Is there some text to read about this in more detail? I mean, how to actually work with it, and also whether one can similarly define other things like simplicial sets, etc? $\endgroup$ Commented Apr 1, 2022 at 10:20
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    $\begingroup$ @მამუკაჯიბლაძე Not that I know of; that work in Coq was sort of stalled a while ago, but mainly because it wasn't clear whether it was the most practical version. Simplicial sets don't work, as far as anyone knows. And saying "infinite-dimensional categories" is maybe a bit misleading to people who actually know what that means -- it's not known how to get all the coherence, only finite fragments of it. $\endgroup$ Commented Apr 1, 2022 at 15:12