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Target: Sequential Colimits in Homotopy Type Theory #1080
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fredrik-bakke
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Apr 16, 2024
…g lemma (#1109) Sorry, this is bigger than I anticipated... This PR - defines morphisms and equivalences between dependent sequential diagrams - defines morphisms and equivalences of cocones under morphisms and equivalences of sequential diagrams - defines equifibered sequential diagrams - defines descent data for sequential colimits - shows the descent property of sequential colimits - proves a version of the flattening lemma expressed with families with associated descent data - collects various helpers for converting between sequential stuff and coequalizer stuff into one file - adds some auxiliary infrastructure along the way I took care to properly separate the work into commits, so it might be more digestible to review it commit by commit. This is progress towards #1080
fredrik-bakke
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Apr 18, 2024
- if a sequential diagram consists of equivalences, then injection maps into its colimit are also equivalences - as a corollary, sequential colimits of sequential diagrams of contractible types are contractible Progress towards #1080
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I already formalized and documented parts of the paper. I'm assigning myself, because I would like to include this formalization effort in my master's thesis.
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