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trendingdiscussion

OpenAI’s Navier-Stokes release included a Lean 4 formal proof

The part of Navier-Stokes no one is talking about

johndcook.com

September 10, 2026

2 min read

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52/100

Summary

Yesterday OpenAI announced a proof that settled a long-standing question about the Navier-Stokes equations from fluid dynamics. The announcement has created a lot of buzz, as one would expect. But there’s an aspect of OpenAI’s work that I haven’t seen anyone talk about: they posted a Lean 4 formal proof at the same time as their conventional human-readable proof. Quite a few other mathematical con...

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