Simplex Category #375
Draft
Simplex Category #375
Conversation
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
|
Just putting this up for a CI run, prose is still a bit rough |
3 tasks
plt-amy
pushed a commit
that referenced
this pull request
Jun 21, 2024
There are a couple of places in the 1Lab where we manually eta-expand out copattern definitions by hand to get better goal display. This mostly comes up when dealing with things like subcategories/forgetful functors; Agda will very happily unfold your nicely named category into `Restrict Blah`, which is not particularly helpful! Manually performing these copattern expansions is a bit of a pain, so this PR adds a small macro that performs this mechanical busywork for us. This removes the need for the `declare-concrete-category` macro in #375.
Sign up for free
to join this conversation on GitHub.
Already have an account?
Sign in to comment
Add this suggestion to a batch that can be applied as a single commit.
This suggestion is invalid because no changes were made to the code.
Suggestions cannot be applied while the pull request is closed.
Suggestions cannot be applied while viewing a subset of changes.
Only one suggestion per line can be applied in a batch.
Add this suggestion to a batch that can be applied as a single commit.
Applying suggestions on deleted lines is not supported.
You must change the existing code in this line in order to create a valid suggestion.
Outdated suggestions cannot be applied.
This suggestion has been applied or marked resolved.
Suggestions cannot be applied from pending reviews.
Suggestions cannot be applied on multi-line comments.
Suggestions cannot be applied while the pull request is queued to merge.
Suggestion cannot be applied right now. Please check back later.
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:
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:.