OAI/Geometry/RCD/Transport/GlobalRenyiMidpoint.lean

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2 declarations, 0 contain sorry, 0 declared as axioms

Reference-independent maximality for dyadic Rényi midpoints

Compactness used a finite restricted reference measure. Supported plans have exactly the same power integral against the original reference, so the maximizing property is independent of the containing support ball.

  1. theorem OAI.RegularPointCoordinates.RenyiMaximizingPlan.global_of_local line 20
  2. theorem OAI.RegularPointCoordinates.NoncollapsedRCD.exists_global_renyi_midpoint_short line 36