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They are using a Lean tool where you separately state your theorems with `sorry` and then prove them elsewhere. The tool checks that all sorry's are covered. This is so the AI doesn't need to edit the specification of the theorem statement.
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Ah, cool. I'm still learning Lean - is there somewhere else in the repo with the Lean specification of the cycle construction for the full argument?
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the json file next to the problem statement in lean says the solution starts here: https://github.com/openai/math/blob/main/lean/OAI/Combinator...

the proof is probably split over the constructions in the whole directory.

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