Galois theory seems to be very useful; I've heard about it many times, but 
unfortunately, I haven't learned any of it yet. I agree that moving the 
definitions and proving simple properties like Thierry said is the best 
option, since the definitions aren't used yet.

By the way, in Milne's notes (https://www.jmilne.org/math/CourseNotes/FT.pdf) 
page 7, it states a definition of Integral Domains that does not seem to 
match with any of the theorems around 
https://us.metamath.org/mpeuni/mmtheorems201.html#df-idom
On Tuesday, August 27, 2024 at 5:24:26 AM UTC-5 [email protected] wrote:

> FWIW, Tom Leinster just shared a bunch of materials he organized from a 
> Galois
> Theory course: https://www.maths.ed.ac.uk/~tl/galois/ . In addition to a 
> book,
> there are quizzes, videos, and problem sets. At a first glance it looks 
> quite
> terrific.
>

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