OAI/MeasureTheory/Falconer/Geometry/PlanarSlopeBalls.lean

GitHub source file

10 declarations, 0 contain sorry, 0 declared as axioms

Direction-ball control transfers to the slope coordinate

  1. theorem OAI.Falconer.normalize_dist_le_twice line 10
  2. def OAI.Falconer.slopeVector line 25
  3. theorem OAI.Falconer.slopeVector_zero line 27
  4. theorem OAI.Falconer.slopeVector_one line 28
  5. theorem OAI.Falconer.slopeVector_norm_lower line 30
  6. theorem OAI.Falconer.slopeVector_dist line 34
  7. theorem OAI.Falconer.slopeDirection_dist line 40
  8. theorem OAI.Falconer.planar_unit_eq_slopeDirection line 45
  9. theorem OAI.Falconer.planar_slope_ball_subset line 59
  10. theorem OAI.Falconer.planar_slope_ball_measure line 68