OAI/MeasureTheory/Falconer/Angular/GnomonicInverse.lean

GitHub source file

22 declarations, 0 contain sorry, 0 declared as axioms

Original direction labels in affine gnomonic coordinates

  1. def OAI.Falconer.gnomonicCoordinates line 15
  2. theorem OAI.Falconer.gnomonicCoordinates_apply line 18
  3. theorem OAI.Falconer.gnomonicCoordinates_measurable line 21
  4. theorem OAI.Falconer.gnomonicCoordinates_gnomonicChart line 27
  5. theorem OAI.Falconer.northLift_gnomonicCoordinates line 33
  6. theorem OAI.Falconer.gnomonicChart_gnomonicCoordinates line 44
  7. theorem OAI.Falconer.northLift_distance line 53
  8. theorem OAI.Falconer.gnomonicChart_distance_le line 59
  9. def OAI.Falconer.gnomonicRatio line 74
  10. theorem OAI.Falconer.gnomonicRatio_apply line 77
  11. theorem OAI.Falconer.gnomonicRatio_continuousOn line 80
  12. theorem OAI.Falconer.northLift_gnomonicRatio line 88
  13. theorem OAI.Falconer.gnomonicRatio_chart line 97
  14. theorem OAI.Falconer.northLift_ratio_norm line 103
  15. theorem OAI.Falconer.gnomonicChart_ratio line 110
  16. theorem OAI.Falconer.gnomonicChart_range line 120
  17. theorem OAI.Falconer.gnomonicChart_measurableEmbedding line 127
  18. def OAI.Falconer.gnomonicConePoint line 130
  19. theorem OAI.Falconer.gnomonicConePoint_zero line 133
  20. theorem OAI.Falconer.gnomonicConePoint_succ line 136
  21. theorem OAI.Falconer.gnomonicRatio_conePoint line 139
  22. theorem OAI.Falconer.gnomonicConePoint_radius line 145