OAI/GroupTheory/PolycyclicRecognition/Geometry/CartanUniformCommonAffinity.lean

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1 declarations, 0 contain sorry, 0 declared as axioms

1. theorem OAI.PolycyclicRecognition.CartanWordModel.exists_uniform_neighbor_common_affinity line 42

   Source documentation

   A positive enlargement works for every original neighboring-cell law. The common affine label is derived from the published analytic inputs and the geometric reflection argument; no affinity or label premise remains.

   theorem exists_uniform_neighbor_common_affinity
       [IsTopologicalGroup F.N.carrier]
       [SecondCountableTopology F.N.carrier] [SecondCountableTopology F.D.carrier]
       [IsTopologicalGroup F.D.carrier] [Nonempty (Fin M.letterCount)]
       [Nonempty (Fin (finrank ℝ (cartanRootIdeal H)))]
       (hExp : IsGroupExponential Exp) (hinj : Function.Injective Exp)
       (realize : ExponentialLinearRealizationInput (EG := EG) (G := G))
   …

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