No proof released
Doesn't publish a compilable, complete Lean proof by end of January 2026. Teasers, headers, partial snippets, or code that fails to compile don't count.
Incomplete proof (uses sorry/axiom)
Proof compiles but relies on sorry, unproven axiom, missing lemmas, or other placeholders that leave it fundamentally incomplete.
Wrong problem / formalization error
Lean code compiles but formalizes a trivial, different, or already-solved version of Navier-Stokes — or otherwise doesn't correctly represent the intended mathematics.
Mathematical error
The proof logic itself is flawed, independent of how it was formalized.
Lean bug
A bug in Lean's code itself causes the proof to be invalid.
Validated as correct
Accepted by the mathematical community as a correct solution to the Navier-Stokes Millennium Problem. Wins his bet with Marcus Hutter and Isaac King.
If his proof is validated as correct, resolves to that option regardless of any intermediate mistakes, bugs, or drama along the way.
If he loses the bet, resolves to the option that most closely describes the primary failure mode of his Lean proof.
Market extends if still under serious review.
Update 2025-12-21 (PST) (AI summary of creator comment): If David Budden releases multiple versions of his proof, the best/most complete version will be used for resolution purposes.