OAI/Geometry/RCD/Heat/CanonicalStrictPositivity.lean

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2 declarations, 0 contain sorry, 0 declared as axioms

Strict positivity at every positive time and pair of points

The near-diagonal lower bound propagates through the actual convolution identity along a finite subdivision of a geodesic.

  1. theorem OAI.RegularPointCoordinates.NoncollapsedRCD.canonicalHeatKernel_pos_add line 22
  2. theorem OAI.RegularPointCoordinates.NoncollapsedRCD.canonicalHeatKernel_pos line 38