Zulip Chat Archive

Stream: Is there code for X?

Topic: Algebraically closed subfield


Violeta Hernández (Jan 30 2026 at 21:23):

Just making sure I'm not missing something, we don't have a type for algebraically closed subfields the way we do for docs#Subfield, do we?

Violeta Hernández (Jan 30 2026 at 21:33):

Actually I think I can use docs#algebraicClosure for what I want so nvm

Violeta Hernández (Jan 31 2026 at 09:47):

Nevermind, I think I do want this. I want to prove some theorems about algebraically closed subfields of a larger algebraically closed type R, and it's kind of annoying that the simplest way to write down that a given subfield x is algebraically closed is via algebraicClosure x R = x

Violeta Hernández (Jan 31 2026 at 10:40):

Maybe what I want instead is a predicate Subfield.IsAlgClosed? And then I can show that's equivalent to all the different characterizations.

Violeta Hernández (Jan 31 2026 at 12:02):

#34646


Last updated: Feb 28 2026 at 14:05 UTC