OAI/MeasureTheory/Falconer/Slicing/GaussianProjectionEnergy.lean

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Finite energy survives almost every Gaussian linear projection

This is proved from Gaussian small balls and Tonelli; no projection theorem is included among the conditional published inputs.

  1. theorem OAI.Falconer.gaussianRowMap_difference_continuous line 15
  2. theorem OAI.Falconer.gaussian_projected_energy_formula line 24
  3. theorem OAI.Falconer.gaussian_projected_energy_measurable line 36
  4. theorem OAI.Falconer.gaussian_projected_energy_average line 45
  5. theorem OAI.Falconer.gaussian_projected_energy_finite_ae line 67