introduce total categories #535
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rebased 😇 |
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theres some conflicts with #568 where you weakened the assumption that various indexing types are sets to them being groupoids while i found a way to just drop the assumption entirely. shouldn't be difficult. i think i might be able to do it? |
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thanks @plt-amy! do you think this is ready now? |
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bump |
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wjhatevber just leave me alone
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Description
I wanted to introduce total categories (see #489) and some of their properties, in particular their adjoint functor theorem (that any cocontinuous functor from a total category has a right adjoint).
This turned out to be really hard, and I didn't finish it (but I'm still working). In particular, adjoint functor theorems seem to be all about size conditions, and these are a bit tricky when converting from classical texts to the 1lab.
Instead, I explored a lot of concepts, dualized many more, and I thought it'd be best to PR what I have before it gets any more bloated.
Notable (non-dual) additions are:
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support/sort-imports.hs(ornix run --experimental-features nix-command -f . sort-imports).If your change affects many files without adding substantial content, and
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