| ▲ | hyperpape 6 hours ago | |
The material is interesting, but unless the statement that is proved in lean is not blowup for Navier-Stokes, then it's still proven. What the examples seem to show is that the proof method is different between the natural language proof and the lean proof. Which, if the lean proof actually proves blowup, would suggest that the natural language proof is subtly wrong, but the strategy was close enough to be used to create a real lean proof. A little worrying, but part of the purpose of formalizing things in Lean, it forces you to be more accurate than natural language does. It's surprisingly common for major theorems to have slight inaccuracies early on that can be repaired. Famously, the initial proof of Fermat's Last Theorem had a flaw that took a year to repair (though I think that's unusually difficult). So the most fundamental question is: does the Lean theorem faithfully state the right theorem? | ||