> A difficult part was constructing a chess board on which to play math (Lean). Now it's just pattern recognition and computation.
However, this was not verified in Lean. This was purely plain language in and out. I think, in many ways, this is a quite exciting demonstration of exactly the opposite of the point you're making. Verification comes in when you want to offload checking proofs to computers as well. As it stands, this proof was hand-verified by a group of mathematicians in the field.
That may be true for now, but it seems clear enough that letting the model use Lean in its internal reasoning process would be a great idea
Yeah, but I wouldn't be surprised if they train the model on verification assisted by Lean.