OAI/GroupTheory/PolycyclicRecognition/Geometry/CartanProfileSegmentVolume.lean

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The volume inequality for supported limiting Cartan chart profiles

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

    Source documentation

    The fixed submersive word is selected before good profiles are retained. Actual interval laws and a fixed enlarged Haar box then supply recurrence, and the physical segment legs yield the support-volume inequality.

    theorem cartan_profile_segment_volume_sequence
    [Nonempty (Fin (finrank ℝ (cartanRootIdeal H)))]
    (hExp : IsGroupExponential Exp)
    (realize : ExponentialLinearRealizationInput (EG := EG) (G := G))
…

    Mentions: OAI.PolycyclicRecognition.cartanRootIdeal, OAI.PolycyclicRecognition.ExponentialLinearRealizationInput