OAI/GroupTheory/PolycyclicRecognition/Geometry/CartanEventualNeighborLabels.lean

GitHub source file

1 declarations, 0 contain sorry, 0 declared as axioms

Eventual agreement for shrinking-enlargement families

  1. theorem OAI.PolycyclicRecognition.CartanWordModel.eventually_root_neighbor_labels_eq line 35

    Source 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