OAI/Analysis/IrrationalRotation/Rotation/CircleSmoothing.lean

GitHub source file

18 declarations, 0 contain sorry, 0 declared as axioms

  1. theorem OAI.InvariantProjection.Continuity.periodic_apply_fract line 15
  2. theorem OAI.InvariantProjection.Continuity.circleSmoothSawtooth_coe line 19
  3. theorem OAI.InvariantProjection.Continuity.continuous_circleSmoothSawtooth line 25
  4. theorem OAI.InvariantProjection.Continuity.circleSmoothedDrop_coe line 31
  5. theorem OAI.InvariantProjection.Continuity.circleSmoothedDrop_eq_representative line 36
  6. theorem OAI.InvariantProjection.Continuity.circleSmoothingTransfer_eq_representative line 41
  7. theorem OAI.InvariantProjection.Continuity.circleSmoothedDrop_eq_add_coboundary line 52
  8. theorem OAI.InvariantProjection.Continuity.continuous_circleSmoothedDrop line 64
  9. theorem OAI.InvariantProjection.Continuity.measurable_circleSmoothingTransfer line 71
  10. theorem OAI.InvariantProjection.Continuity.circleSmoothedDrop_nonneg line 77
  11. theorem OAI.InvariantProjection.Continuity.integral_circleSmoothedDrop line 82
  12. theorem OAI.InvariantProjection.Continuity.measure_circleSmoothingTransfer_support_le line 88
  13. theorem OAI.InvariantProjection.Continuity.measure_circleSmoothedDrop_support_le line 108
  14. theorem OAI.InvariantProjection.Continuity.continuous_characterSmoothedDrop line 127
  15. theorem OAI.InvariantProjection.Continuity.integral_characterSmoothedDrop line 131
  16. theorem OAI.InvariantProjection.Continuity.measure_characterSmoothedDrop_support_le line 142
  17. theorem OAI.InvariantProjection.Continuity.measure_characterSmoothingTransfer_support_le line 152
  18. theorem OAI.InvariantProjection.Continuity.characterSmoothedDrop_eq_add_coboundary line 165