OAI/MeasureTheory/Falconer/Angular/AngularTubes.lean

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5 declarations, 0 contain sorry, 0 declared as axioms

A perpendicular tube test occupies two small direction caps

The centers are the two directions of the actual tested displacement. This gives the angular measure bound used in the parallel-test average.

  1. theorem OAI.Falconer.perpendicularPart_smul line 17
  2. theorem OAI.Falconer.norm_perpendicularPart_sq line 21
  3. theorem OAI.Falconer.unit_close_of_perpendicular line 30
  4. theorem OAI.Falconer.perpendicular_direction_two_caps line 43
  5. theorem OAI.Falconer.perpendicular_direction_measure line 70