OAI/GroupTheory/PolycyclicRecognition/Geometry/CartanGeneratorSequence.lean
1 declarations, 0 contain sorry, 0 declared as axioms
Uniform finite generator chains along the geometric scale sequence
- theorem
OAI.PolycyclicRecognition.CartanWordModel.exists_cartan_generator_sequenceline 28Source documentation
All endpoints in one rescaled box admit chains of the same finite length. One vanishing error envelope bounds every prefix, uniformly over all endpoint choices. No measurable choice of the chains is asserted or needed for deterministic subsequence arguments.
theorem exists_cartan_generator_sequence [Nonempty (Fin M.letterCount)] (hExpG : IsGroupExponential ExpG) (realize : ExponentialLinearRealizationInput (EG := EG) (G := G)) …Mentions: OAI.PolycyclicRecognition.ExponentialLinearRealizationInput