Zulip Chat Archive

Stream: new members

Topic: Small Categories vs Large Categories


James Squires (Dec 30 2025 at 21:20):

Hello everyone. I'm very new to Lean and I'm learning how to code by doing some simple category proofs. I'm currently doing a proof on the uniqueness of identity morphisms in a category, but I saw that I can use either large or small categories depending on if I want my morphisms to live in separate universes. Is this kind of preference/organization, or will I just learn over time the merits of choosing small or large?

Thank you

Aaron Liu (Dec 30 2025 at 21:27):

you should probably just use docs#CategoryTheory.Category

Aaron Liu (Dec 30 2025 at 21:28):

small and large categories I feel is kind of important your proofs should work for both

James Squires (Dec 30 2025 at 21:28):

Thank you, makes sense!


Last updated: Feb 28 2026 at 14:05 UTC