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This order works better, as it avoids some nasty implicit instantiation issues.
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Feb 25, 2026
Fixes #463 in a more direct way than #505, with a bespoke set of operators for equational reasoning in `PathP (λ i → Hom[ p i ] ...) ...` that take the "continuation" in the form of a path in `Σ _ λ m → Hom[ m ] x y`. This does mean that we still need all the `[]` versions of the category combinators, but it's an improvement, at least, and does not complicate the dependency graph. --------- Co-authored-by: Naïm Camille Favier <n@monade.li>
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Description
This PR defines a notion of "Σ-basis", which is a nice encoding of an equivalence to a Σ type. It also defines some
general reasoning principles for Σ-bases, with an eye to fixing #463 in a modular fashion. I've used them a bit
in
Cat.Displayed.Totalto prove some basic results, and they seem relatively ergonomic.Some prose still needs to be written, so I've marked this as a draft for now to get some feedback on the general
design first.
Checklist
Before submitting a merge request, please check the items below:
support/sort-imports.hs(ornix run --experimental-features nix-command -f . sort-imports).If your change affects many files without adding substantial content, and
you don't want your name to appear on those pages (for example, treewide
refactorings or reformattings), start the commit message and PR title with
chore:.