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Free categories, categories from generators and relations #422

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merged 8 commits into from
Sep 23, 2024

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TOTBWF
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@TOTBWF TOTBWF commented Aug 2, 2024

Description

This PR proves that free categories are, in fact, free. It also proves that we can construct categories via generators and relations in the style of Borceux 5.1.6, and shows that these categories are also a free construction. I've also factored out the definition of graphs into its own file.

This closes 5.1.2, 5.1.5, and 5.1.6 of Borceux.

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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 TOTBWF requested review from ncfavier and plt-amy August 2, 2024 00:10
@Lavenza
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Lavenza commented Aug 2, 2024

Pull request preview

@plt-amy plt-amy merged commit 1550189 into main Sep 23, 2024
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@plt-amy plt-amy deleted the free-categories branch September 23, 2024 18:23
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3 participants