Define universal colimits (à la Borceux §2.14) and pullback-stable colimits (preserved by the base change functor) and prove that they are equivalent if the colimits are assumed to exist.
Checklist
Before submitting a merge request, please check the items below:
[X] The imports of new modules have been sorted with support/sort-imports.hs (or nix 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
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:.
Define universal colimits (à la Borceux §2.14) and pullback-stable colimits (preserved by the base change functor) and prove that they are equivalent if the colimits are assumed to exist.
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:
.