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  • I love that “grind” is a keyword.
  • Now we have what Fermat tried to write in the margin: aa2d8b34692b16c70f699536de0d8e75b9a3e9ef
  • This is a very impressive result. Bravo to that team.
    by abhv
  • Much of the value of proof is in the development of math definitions and intermediate theorems needed to get you there, Grothendiek-style. This ability seems still to be beyond AI (at least, I haven’t heard of any fundamentally new and useful definitions such as “scheme” or “modular form” emerging from the latest blizzard of AI proofs). BUT, I wonder if AI could develop this skill too through a process of efficiently refactoring a big Lean proof into Lean pieces, then interpreting the pieces back into new, human-grokable definitions with evocative names?
  • I think an interesting problem, perhaps even more interesting problem, would be the shortest / most concise / easiest to understand (formally verifiably) proof.
  • I wonder if any piece of the lean code is in a shape which means it could be contributed to one of the existing Lean libraries.

    My experience is that it takes a lot of human input to make Fable write code nice enough for a formalisation library others can work on. But since this is certainly a lot of prerequisites formalised as well, it would be nice if not all of the effort was wasted on one capstone proof! (Repost of a earlier comment, but I feel it fits better here)

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Fermat's Last Theorem in Lean 4 · Birbla