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From what I understand all of them have Lean proofs/certificates thus are basically 100% proven without a doubt.
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We recently saw that lean itself isnt proven correct. Its not likely but i wouldnt call it verified if its only verified in lean

https://x.com/gro_tsen/status/2082483878480977959

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Between a lean proof, and a peer reviewed paper, the former is a lot less likely to be mistaken...

Nothing is perfect.

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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.
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I mean, they're verified in the sense that the lean proof checks out... and presumably OpenAI read them.
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Or they made another LLM 'read' them?

> You are an expert in the field of mathematics, with decades of experience. You are a reviewer of proofs, etc etc.etc.

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