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Engel’s Theorem in Mathlib
Journal of Automated Reasoning ( IF 1.1 ) Pub Date : 2023-05-13 , DOI: 10.1007/s10817-023-09668-0 Oliver Nash
中文翻译:
Mathlib 中的恩格尔定理
更新日期:2023-05-13
Journal of Automated Reasoning ( IF 1.1 ) Pub Date : 2023-05-13 , DOI: 10.1007/s10817-023-09668-0 Oliver Nash
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.
中文翻译:
Mathlib 中的恩格尔定理
我们讨论 Lean 的 Mathlib 库中的李代数理论。我们以幂零性为主题,概述了恩格尔定理的计算机形式化及其在根空间理论中的应用。我们强调所有论证都适用于任何交换环中的系数。