OAI/Geometry/RCD/Transport/AsymmetricMidpointCapacity.lean

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4 declarations, 0 contain sorry, 0 declared as axioms

A midpoint density bound independent of the concentrating endpoint

The inverse support factor is finite for finite positive endpoint bounds. Its one-sided estimate retains just the initial density. This is the uniform bound used before passing the other endpoint to a Dirac mass.

  1. theorem OAI.RegularPointCoordinates.midpointSupportFactor_pos line 21
  2. theorem OAI.RegularPointCoordinates.midpointSupportFactor_ne_top line 32
  3. theorem OAI.RegularPointCoordinates.midpointSupportFactor_inv_le line 44
  4. theorem OAI.RegularPointCoordinates.NoncollapsedRCD.exists_asymmetric_midpoint line 70