OAI/Geometry/RCD/Heat/CanonicalDiagonalLower.lean

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Quantitative diagonal positivity of the canonical kernel

Conservation and the cutoff escape bound put half the heat mass in a controlled ball. The already proved finiteness of the overlap converts the extended Cauchy--Schwarz lower bound into a real one.

  1. theorem OAI.RegularPointCoordinates.NoncollapsedRCD.canonicalHeatKernel_short_diagonal_lower line 25
  2. theorem OAI.RegularPointCoordinates.NoncollapsedRCD.canonicalHeatKernel_diagonal_lower line 41