That's not how Lean works.

1. implementation of Lean is buggy.
2. having a Lean Theorem/Proof only proves they are connected to the axioms
3. Lean is not enough to personally verify the proof. We can see that even now with the stolen C+D Navier proof, where OpenAi paper - as we know since yesterday - is... possibly false (well, we know that the lean code does not match the paper, let the mathematicians cook).