OAI/Geometry/RCD/Sobolev/BoundedLipschitzMultiplier.lean

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Multiplication by an arbitrary bounded nonnegative Lipschitz function

Compact recovery of the Sobolev factor supplies globally Lipschitz product approximants. The multiplier need not become constant outside a compact set.

  1. theorem OAI.RegularPointCoordinates.IsRelaxedSlope.mul_bounded_lipschitz line 18
  2. def OAI.RegularPointCoordinates.SobolevSpace.boundedLipschitzMul line 75
  3. theorem OAI.RegularPointCoordinates.SobolevSpace.boundedLipschitzMul_coe line 85