Poincaré conjecture proof fully formalized in Lean: 4.7M lines in two weeks with NVIDIA

thesaraharminta · x · 2026-10-10

Ayush Khaitan, with Ben Chow, Yuan Liao, Ziyang Qin and NVIDIA's Humanfia team, completed a full Lean formalization of the Hamilton-Perelman proof of the Poincaré conjecture, and now the Thurston Geometrization conjecture. The proof spans 4.7 million lines of Lean code, written in roughly two weeks, supported by DARPA's expMath program — a milestone for large-scale formal mathematics.

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