OAI/Geometry/RCD/Heat/CanonicalLocalLower.lean

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2 declarations, 0 contain sorry, 0 declared as axioms

Uniform lower bounds on bounded parabolic distance ranges

Only this local consequence of the published Gaussian lower bound is needed for the coordinate construction. A fixed finite chain of balls proves it directly from near-diagonal positivity and CD volume comparison.

  1. theorem OAI.RegularPointCoordinates.NoncollapsedRCD.canonicalHeatKernel_lower_from_set line 23
  2. theorem OAI.RegularPointCoordinates.NoncollapsedRCD.canonicalHeatKernel_local_lower line 41