I think that removing dependence on AC is usually a good thing.

Norm

On Friday, May 14, 2021 at 4:14:24 AM UTC-4 tbrend...@gmail.com wrote:

> You might've already noticed when I posted my first attempt to prove that 
> the algebraic numbers were a field, but I made a minor change to the proof 
> of mreexexd that would make it cease to be reliant on ax-ac2 (replacing the 
> intersection of cardinalities with an if statement) and I was going to make 
> that change to the main database on my next upload, which is going to be a 
> theorem that a matrix on a field is a unit iff the determinant is 
> non-zero.  I was wondering if this would be okay?

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