OAI/GroupTheory/PolycyclicRecognition/Geometry/CartanPublishedAffineMean.lean

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Mean-normalized affine approximation of the original ordinary charts

  1. theorem OAI.PolycyclicRecognition.CartanWordModel.exists_uniform_published_affine_mean_approximation line 62

    Source documentation

    The original ordinary Haar profiles have deterministic affine approximants whose offset is exactly their mean value at the identity.

    theorem exists_uniform_published_affine_mean_approximation
    (hExp : IsGroupExponential Exp) (hinj : Function.Injective Exp)
    (realize : ExponentialLinearRealizationInput (EG := EG) (G := G))
…

    Mentions: OAI.PolycyclicRecognition.ExponentialLinearRealizationInput