OAI/Geometry/RCD/Sobolev/PoissonCompactExtension.lean

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Compact extensions of local constant-Laplacian functions

A good cutoff gives an actual L² Laplacian. Local gradient control and a bounded representative make the extension compact Lipschitz; on the plateau both the function and its Laplacian agree with the local data.

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