OAI/GroupTheory/PolycyclicRecognition/Geometry/CartanCommonCellAffinity.lean

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1 declarations, 0 contain sorry, 0 declared as axioms

Neighboring-sheet affinity directly from enlarged box membership

  1. theorem OAI.PolycyclicRecognition.CartanWordModel.cartan_neighbor_profiles_common_affine_of_threshold line 41

    Source documentation

    Apply the proved uniform neighbor-label threshold to actual supported profiles. The row is assembled from the original enlarged cells and the published-input affinity theorem, including the raw-chart identities.

    theorem cartan_neighbor_profiles_common_affine_of_threshold
        [IsTopologicalGroup F.N.carrier]
        [Nonempty (Fin (finrank ℝ (cartanRootIdeal H)))]
        (hExp : IsGroupExponential Exp)
        (realize : ExponentialLinearRealizationInput (EG := EG) (G := G))
    …

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