What mathematicians should know about the Lean Theorem Prover: reliability & AI

Mathematician Terence Tao discusses the Lean theorem prover, a software system for formal verification of mathematical proofs. He highlights the importance of understanding the reliability and limitations of the Lean theorem prover, particularly in the context of artificial intelligence. Tao notes that while AI can assist with proof verification, it is not a replacement for human mathematicians and that the prover's reliability is still an open question. He also discusses the challenges of trusting the output of the prover and the need for human intuition and expertise to evaluate the results.