Zulip Chat Archive
Stream: lean4
Topic: AWFS in Lean
Sina (Mar 23 2023 at 18:01):
I have started formalizing Algebraic Weak Factorization Systems (AWFS) in Lean. So far I have done some basic stuff in Lean3
taking advantage of the category theory library there. Unfortunately, I have not followed how much category theory there is in Lean4
, where can I find about this? Does it make sense to directly formalize AWFS directly in Lean4
? I need adjunctions, mondas, and comondas, algebras and coalgebras, double categories, and limit/colimit stuff. Most of these exist in Lean3, but i was wondering if a good portion of these exist in Lean4, it might make more sense to use Lean4 (which I like more).
Marcus Rossel (Mar 23 2023 at 18:11):
You can see which parts of category theory have been ported to Lean 4 on this website: https://leanprover-community.github.io/mathlib4_docs/Mathlib/CategoryTheory/Arrow.html
Marcus Rossel (Mar 23 2023 at 18:13):
Note that Mathlib is currently being ported to Lean 4, so sooner or later all the definitions you've used in Lean 3 will be available in Lean 4.
Eric Wieser (Mar 23 2023 at 18:16):
#port-dashboard can also show you how far away currently-unavailable things are
Scott Morrison (Mar 23 2023 at 23:15):
From your list, I would guess it is mostly ported. The sooner people come over to the light side, the better. :-)
Last updated: Dec 20 2023 at 11:08 UTC