OAI/GroupTheory/PolycyclicRecognition/Geometry/CartanStationaryTemplatePacking.lean

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Stationary good paths to actual rescaled endpoints

Independent normalized coordinate volume and continuous endpoint coding instantiate the stationary sampling theorem. A single normalized pair is therefore good on an exponentially large ambient separated endpoint set.

  1. theorem OAI.PolycyclicRecognition.CartanWordModel.exists_stationary_template_separated_set line 37

    Source documentation

    Actual separated endpoints with controlled image paths and the exact exponential lower rate.

    theorem exists_stationary_template_separated_set
        (hExp : IsGroupExponential Exp)
        (realize : ExponentialLinearRealizationInput (EG := EG) (G := G))
    …

    Mentions: OAI.PolycyclicRecognition.ExponentialLinearRealizationInput