OAI/Analysis/LipschitzHilbert/Geometry/LaceyLiGeometry.lean

GitHub source file

10 declarations, 0 contain sorry, 0 declared as axioms

Elementary geometry for the finite rectangle covering proof of Lacey--Li, Memoirs AMS 205 (2010), Chapter 3. All rectangles and popularity sets here are the actual objects from the published input.

  1. theorem OAI.LipschitzHilbert.Rectangle.long_pos line 14
  2. theorem OAI.LipschitzHilbert.Rectangle.aperture_pos line 16
  3. theorem OAI.LipschitzHilbert.Rectangle.aperture_le_half line 19
  4. theorem OAI.LipschitzHilbert.Rectangle.norm_sub_center_le_long line 23
  5. theorem OAI.LipschitzHilbert.Rectangle.dist_le_two_long line 35
  6. theorem OAI.LipschitzHilbert.Rectangle.measurableSet_popularSet line 41
  7. theorem OAI.LipschitzHilbert.Rectangle.popular_axis_distance line 48
  8. theorem OAI.LipschitzHilbert.Rectangle.popularSet_nonempty line 59
  9. theorem OAI.LipschitzHilbert.Rectangle.popular_points_distance line 68
  10. theorem OAI.LipschitzHilbert.Rectangle.intersecting_axes_distance line 76