OAI/Analysis/LipschitzHilbert/Phase/AngularBoundaryDistance.lean

GitHub source file

8 declarations, 0 contain sorry, 0 declared as axioms

The normalized distance to the nearest boundary is a one-periodic folded fractional part of the common grid translation.

  1. def OAI.LipschitzHilbert.unitBoundaryDistance line 12
  2. theorem OAI.LipschitzHilbert.unitBoundaryDistance_periodic line 14
  3. theorem OAI.LipschitzHilbert.unitBoundaryDistance_neg line 18
  4. theorem OAI.LipschitzHilbert.unitBoundaryDistance_on_unit line 26
  5. theorem OAI.LipschitzHilbert.unitBoundaryDistance_lower line 33
  6. theorem OAI.LipschitzHilbert.unitBoundaryDistance_upper line 37
  7. theorem OAI.LipschitzHilbert.unitBoundaryDistance_measurable line 41
  8. theorem OAI.LipschitzHilbert.AngularGrid.boundaryDistance_eq_unit line 46