Fact-checking the Lean repo: OpenAI proved Navier–Stokes alternative (C), not the whole prize

CatAstro_Piyush · x · 2026-09-09

A technical blog dissects the claim "OpenAI solved Navier–Stokes." The author's first reaction was to ask what exactly the prompt was; his second was to read the five-page problem statement Charles Fefferman wrote for the Clay Mathematics Institute in 2000 before touching any news coverage. His verdict on the three jobs that sentence does: (1) a theorem about 3D Navier–Stokes with smooth external force was proved and checked by a proof assistant — as far as anyone can tell, correct (the author cloned the Lean repo to verify); (2) it matches, clause for clause, alternative (C) of the official statement, and by a small extension (D) — verifiable yourself since the clause is two sentences; (3) "that alternative is what people mean by the Navier–Stokes problem" — this is false, in a way Fefferman anticipated 26 years ago when he wrote four alternatives instead of one. The post is an argument for reading the official definition before the headlines.

Related event: AMS Confirms Navier-Stokes Breakthrough as Lean Proof Goes Open Source(4 posts)→

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