We are working with group theorists to compile the errata we found in the literature, and will publish them here.
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The classification of finite simple groups is one of the great collective achievements of mathematics. Its first-generation proof spans thousands of journal pages, written by about a hundred mathematicians over several decades. It shows that every finite simple group is cyclic of prime order, alternating, of Lie type, or one of 26 sporadic groups.
Here we present a complete formalization in Lean following the first-generation proof, with every logical step checked by Lean’s kernel. Along the way, we found an issue in a published argument for the Unbalanced Group Theorem. The accompanying paper explains the issue and the alternative route used in our proof. Our blog post tells the full story.
- Lines of Lean
- 43.1M
- Declarations
- 2.05M
- Milestones
- 100
- Papers and books
- 715
Core contributorsDean Cureton*†, Vasily Ilin†, Bhavik Mehta*†, Niels Voss†
Other contributorsRafael Cabral†, Colin Defant*, Erik Gregory†, Aaron Hill†, Letong Hong◇, Qinheping Hu†, Dustin Jamner†, Albert Jiang†, Tadeusz Jordan†, Andranik Kurghinyan†, Kenny Lau*†, Jonathan Laurent†, David Liang†, Jannis Limperg†, Simon Mahns†, Brian Nugent*, Connor Olson†, Ken Ono*, Eric Paul†, Dhruv Rajan†, Karun Ram†, Charlie Ray†, Ho Chung Siu†, Ashvin A. Swaminathan*†, Jesse Thorner*, Aleksey Tsaplin†, Chenkai Wang†
*Mathematical contributors†Engineering contributors◇Principal investigator
This is the Agent Blueprint, the initial blueprint we gave the agents. For the Lean code itself, see the Lean Repo
The corpus 139 source works
18701950197019902026
Each block is a paper or book, sized by the statements it supplies. Hover to find its statements.
Milestones 108
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