Discussions surrounding the Lean Theorem Prover highlight growing concerns over the reliability of AI-generated mathematical proofs and the potential for underlying soundness bugs in the system's kernel. While automated proof checkers are necessary to mitigate AI hallucinations, experts emphasize that human oversight remains the ultimate backstop against theoretical flaws. Furthermore, current autoformalization tools struggle to accurately translate complex papers, often producing formally verified proofs that fail to capture the original mathematical intent.