OAI/Geometry/RCD/Sobolev/BoundedLocalDimensionalBochner.lean
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Dimensional local Bochner inequality for bounded regular functions
Compact localization retains the original function and its L² source. The source needs Sobolev regularity only for the displayed local mixed pairing. The actual Bakry--Ledoux estimate retains the squared-source term; no derivative of the cutoff source is used.
- theorem
OAI.RegularPointCoordinates.NoncollapsedRCD.bounded_local_dimensional_bochnerline 27