OAI/Geometry/RCD/Transport/OptimalLengthLocalization.lean

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2 declarations, 0 contain sorry, 0 declared as axioms

Spatial localization of length-truncated optimal plans

Each length threshold is detected by a compact set at any interior time. Consequently the two length-truncated marginals are mutually singular.

  1. theorem OAI.RegularPointCoordinates.length_sublevel_evaluation line 18
  2. theorem OAI.RegularPointCoordinates.NoncollapsedRCD.optimal_length_marginals_mutuallySingular line 58