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Comment by anon-3988

1 day ago

The other crucial part to this is the ability to actually encode and test the theorem (via Lean). Otherwise, we would be swarmed with a billion lines of theorems that no one will be able to ever understand and verify anyway.

A majority of these proofs have not been formally verified yet, I think people are overstating how important lean is to the success of LLMs in mathematics.

  • A paper and a lean proof are always going to be better than just a paper. I think mathematicians generally will not read AI math papers that haven't already been verified, especially since we're about to see a ton more AI math papers. Lean will remain important

    • Are there any AI generated proofs that are simple enough to be verified quickly by a human, that have not been lean verified? Or are they all basically incomprehensible?

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If you think AI-generated Lean proofs are unreadable, imagine Opus 5 generating informal proofs.