OAI/GroupTheory/PolycyclicRecognition/Geometry/CartanGeneratorChain.lean
1 declarations, 0 contain sorry, 0 declared as axioms
Fixed-length bounded-prefix chains in actual Cartan boxes
- theorem
OAI.PolycyclicRecognition.CartanWordModel.exists_uniform_cartan_generator_chainline 26Source documentation
Every point in a rescaled box is joined to zero by one fixed number of actual generator steps. Every logarithmic prefix stays in a common enlarged box. This supplies the vertices and edges used by profile concentration.
theorem exists_uniform_cartan_generator_chain [Nonempty (Fin M.letterCount)] (hExpG : IsGroupExponential ExpG) (realize : ExponentialLinearRealizationInput (EG := EG) (G := G)) …Mentions: OAI.PolycyclicRecognition.ExponentialLinearRealizationInput