OAI/MeasureTheory/Falconer/Slicing/SliceCoordinates.lean

GitHub source file

8 declarations, 0 contain sorry, 0 declared as axioms

Isometric Euclidean coordinates on the actual finite-dimensional slice

  1. def OAI.Falconer.sliceCoordinates line 12
  2. def OAI.Falconer.slicePointCoordinates line 16
  3. theorem OAI.Falconer.slicePointCoordinates_continuous line 20
  4. theorem OAI.Falconer.slicePointCoordinates_norm line 24
  5. theorem OAI.Falconer.slicePointCoordinates_sub line 30
  6. theorem OAI.Falconer.slicePointCoordinates_dist line 35
  7. theorem OAI.Falconer.sliceCoordinates_normalize line 41
  8. theorem OAI.Falconer.sliceCoordinates_perpendicularPart line 46