OAI/GroupTheory/PolycyclicRecognition/Geometry/CartanCommonCellAffinity.lean
1 declarations, 0 contain sorry, 0 declared as axioms
Neighboring-sheet affinity directly from enlarged box membership
- theorem
OAI.PolycyclicRecognition.CartanWordModel.cartan_neighbor_profiles_common_affine_of_thresholdline 41Source 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