1. How can we be sure ChatGPT knows it's correct or not? It gives out incorrect answers to complex questions all the time. The very fact that it gave out a correct answer is worth talking about.
2. The type of human that can verify a mathematical proof is also the type of human that knows the appropriate communication channels to let every other math-human know about the proof. The math-humans will know the impact that proof has on math, and how to apply it.