OAI/Geometry/RCD/Heat/GaussianMidpoint.lean

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The finite-dimensional Gaussian midpoint entropy-power bound

The pointwise reduced density bound, the published Gaussian lower bound for its coefficient, and the two-term logarithmic integral inequality give the midpoint estimate on the prescribed compressed optimal dynamical plan.

  1. theorem OAI.RegularPointCoordinates.NoncollapsedRCD.gaussian_midpoint_entropy_power line 24