OAI/GroupTheory/PolycyclicRecognition/Geometry/CartanMetricChartShift.lean

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1 declarations, 0 contain sorry, 0 declared as axioms

Actual small-distance lifts preserve a common Cartan chart domain

  1. theorem OAI.PolycyclicRecognition.CartanWordModel.exists_small_metric_chart_shift line 43

    Source documentation

    A sufficiently small fraction of the ambient scale admits a factor lift whose inverse Cartan translation carries one fixed coordinate ball into the required larger ball, uniformly in both nearby scales.

    theorem exists_small_metric_chart_shift
        (hExp : IsGroupExponential ExpG)
        (realize : ExponentialLinearRealizationInput (EG := EG) (G := G))
    …

    Mentions: OAI.PolycyclicRecognition.ExponentialLinearRealizationInput