OAI/Geometry/RCD/Sobolev/WeightedIntegralPotential.lean

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Differentiating a scalar potential against a bounded weight

The L² remainder is controlled by the Lipschitz derivative of the scalar potential. This permits nonlinear heat pairings without assuming an L² derivative for their nonlinear factor.

  1. def OAI.RegularPointCoordinates.weightedIntegralPotential line 19
  2. theorem OAI.RegularPointCoordinates.weightedIntegralPotential_remainder line 22
  3. theorem OAI.RegularPointCoordinates.weightedIntegralPotential_hasFDerivAt line 66