OAI/GroupTheory/PolycyclicRecognition/Algebra/NilpotentRepresentationProducts.lean

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A common product bound for nilpotent Lie representations

Engel's theorem supplies a terminating lower central series for the module. Every product of represented operators of sufficient length is therefore zero.

  1. theorem OAI.PolycyclicRecognition.exists_vanishing_products_of_pointwise_nilpotent line 21