OAI/GroupTheory/PolycyclicRecognition/Geometry/CartanAmbientPacking.lean

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Fixed-slice packing on the constructed ambient Cartan factors

The factor inclusions, normal action and published faithful realization now supply every group-theoretic premise of the fixed-slice lower counting lemma.

  1. theorem OAI.PolycyclicRecognition.CartanWordModel.exists_ambient_fixedSlice_packing line 31

    Source documentation

    Actual ambient fixed-slice lower counting, with no assumed action identification, embedding or Haar invariance.

    theorem exists_ambient_fixedSlice_packing
        (hExpG : IsGroupExponential ExpG)
        (realize : ExponentialLinearRealizationInput (EG := EG) (G := G))
    …

    Mentions: OAI.PolycyclicRecognition.ExponentialLinearRealizationInput