Again, you don't need to check the proof, Lean does that. You need to check the statement, which is a much easier task. So yes, you are wrong. Skepticism is good, but it is usually just ignorance.
It's surprisingly easy to prove something subtly different than you intend actually. Digesting and understanding a theorem statement can often take significant time and expertise.
It's surprisingly easy to prove something subtly different than you intend actually. Digesting and understanding a theorem statement can often take significant time and expertise.