OAI/Geometry/RCD/Heat/UniformHeatActionLower.lean

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Sharp small-noise action lower bound for uniform compact laws

The limiting potential is constructed from the actual heat factors. Its normalization constant vanishes; its lower bound has the exact quadratic action coefficient, derived from the proved transport comparison.

  1. theorem OAI.RegularPointCoordinates.NoncollapsedRCD.uniform_heat_action_lower line 22