OAI/MeasureTheory/Falconer/Slicing/SliceGeometry.lean

GitHub source file

9 declarations, 0 contain sorry, 0 declared as axioms

Actual orthogonal-band geometry for the angular slicing argument

  1. def OAI.Falconer.pointSliceBand line 13
  2. def OAI.Falconer.directionSliceBand line 16
  3. theorem OAI.Falconer.pointSliceBand_measurable line 19
  4. theorem OAI.Falconer.directionSliceBand_measurable line 23
  5. theorem OAI.Falconer.pointSliceBand_projection_ball line 27
  6. theorem OAI.Falconer.pointSliceBand_pair_distance line 36
  7. theorem OAI.Falconer.directionSliceBand_projection_lower line 50
  8. theorem OAI.Falconer.norm_sub_normalize line 61
  9. theorem OAI.Falconer.directionSliceBand_normalize_error line 69