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Simplex Category #375

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Simplex Category #375

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TOTBWF
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@TOTBWF TOTBWF commented Apr 12, 2024

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:

  • I've read the contributing guidelines.
  • The imports of new modules have been sorted with support/sort-imports.hs (or nix run --experimental-features nix-command -f . sort-imports).
  • All new code blocks have "agda" as their language.

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:.

@TOTBWF
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TOTBWF commented Apr 12, 2024

Just putting this up for a CI run, prose is still a bit rough

@Lavenza
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Lavenza commented Apr 12, 2024

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2 participants