Engel's theorem in Mathlib

Published 20 Apr 2023 in cs.LO and math.RT | (2304.10424v1)

Abstract: We discuss the theory of Lie algebras in Lean's Mathlib library. Using nilpotency as the theme, we outline a computer formalisation of Engel's theorem and an application to root space theory. We emphasise that all arguments work with coefficients in any commutative ring.

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Oliver Nash

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