Lean 4 proof shows every finite simple group is generated by two elements

geoffreyirving · x · 2026-11-03

The AxiomMath project published CFSGCorollary, a Lean 4 repository proving that every finite simple group is generated by two elements. The proof builds on AxiomMath/CFSG's formalization of the classification of finite simple groups, assuming TauCeti's ClassificationStatement (every finite simple group is isomorphic to one on TauCeti's list). The repo includes both a conditional theorem (assuming the classification) and an unconditional one, licensed under Apache-2.0—a concrete step in formalizing major mathematical results.

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