From what I understand all of them have Lean proofs/certificates thus are basically 100% proven without a doubt.
We recently saw that lean itself isnt proven correct. Its not likely but i wouldnt call it verified if its only verified in lean
Incorrect. The statement in Lean can itself be wrong. Moreover, they could be exploiting a kernel bug in Lean, of which we had one published literally a week ago.
Besides for what others have mentioned, the lean proof could be proving something else. Given AI’s propensity to hallucinate, seems like someone should check the lean proof actually expresses what it’s claimed to.