OAI/GroupTheory/PolycyclicRecognition/Geometry/CartanEventualNeighborLabels.lean
1 declarations, 0 contain sorry, 0 declared as axioms
Eventual agreement for shrinking-enlargement families
- theorem
OAI.PolycyclicRecognition.CartanWordModel.eventually_root_neighbor_labels_eqline 35Source documentation
Along any shrinking-enlargement family, supported neighboring affine labels agree eventually. Compactness and the finite symmetry group supply the converging constant-label subsequence required by the geometric diagonal.
theorem eventually_root_neighbor_labels_eq (hExpG : IsGroupExponential ExpG) (hinjG : Function.Injective ExpG) (realize : ExponentialLinearRealizationInput (EG := EG) (G := G)) …Mentions: OAI.PolycyclicRecognition.ExponentialLinearRealizationInput