OAI/Analysis/LipschitzHilbert/Estimates/RealFiniteVariation.lean

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Real-valued finite variation and cancellation of the running radius in the pathwise relative-exit estimate.

  1. abbrev OAI.LipschitzHilbert.realVariationCube line 14
  2. theorem OAI.LipschitzHilbert.realVariationCube_nonneg line 17
  3. theorem OAI.LipschitzHilbert.partition_le_realVariationCube line 20
  4. theorem OAI.LipschitzHilbert.realVariationCube_relative_bound line 25
  5. theorem OAI.LipschitzHilbert.initial_jump_le_realVariationCube line 36
  6. theorem OAI.LipschitzHilbert.runningOscillation_cube_le line 59
  7. theorem OAI.LipschitzHilbert.cubic_radius_cancel line 67
  8. theorem OAI.LipschitzHilbert.realVariationCube_two_thirds_bound line 95