Simplex Category
Description
This PR reworks the simplex category to make it more amenable to defining diagrams. It also proves a whole host of properties about it, which required the introduction of antiinjective and antisurjective functions. I was not able to find a better name for these, so suggestions are welcome!
Finally, this PR also introduces a bit of machinery for constructing concrete categories: a macro is used to introduce top-level copattern matches so that we can get better goal display.
Checklist
Before submitting a merge request, please check the items below:
- [x] I've read the contributing guidelines.
- [x] The imports of new modules have been sorted with
support/sort-imports.hs(ornix run --experimental-features nix-command -f . sort-imports). - [x] All new code blocks have "agda" as their language.
If your change affects many files without adding substantial content, and
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refactorings or reformattings), start the commit message and PR title with chore:.
Just putting this up for a CI run, prose is still a bit rough