OAI/Geometry/RCD/Transport/CompressedRadialPlan.lean

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A bounded-compression radial plan from an actual bounded density

First construct the radial midpoint by endpoint concentration. Apply the proved bounded-compression transport theorem to that midpoint. Optimal cost rigidity forces the replacement to have exactly the radial speed.

  1. theorem OAI.RegularPointCoordinates.NoncollapsedRCD.exists_compressed_radial_plan line 21