OAI/Analysis/LipschitzHilbert/Geometry/HorizontalStripCover.lean

GitHub source file

9 declarations, 0 contain sorry, 0 declared as axioms

A concrete partition into horizontal strips; their one-cell extensions have uniformly bounded overlap and contain short translates.

  1. def OAI.LipschitzHilbert.PacketRepresentation.horizontalCell line 14
  2. def OAI.LipschitzHilbert.PacketRepresentation.horizontalEnlargement line 15
  3. theorem OAI.LipschitzHilbert.PacketRepresentation.horizontalCell_floor line 17
  4. theorem OAI.LipschitzHilbert.PacketRepresentation.horizontalCell_iUnion line 23
  5. theorem OAI.LipschitzHilbert.PacketRepresentation.horizontalCell_disjoint line 28
  6. theorem OAI.LipschitzHilbert.PacketRepresentation.horizontalCell_subset line 41
  7. theorem OAI.LipschitzHilbert.PacketRepresentation.horizontalEnlargement_translate line 48
  8. theorem OAI.LipschitzHilbert.PacketRepresentation.horizontalEnlargement_index line 58
  9. theorem OAI.LipschitzHilbert.PacketRepresentation.horizontalEnlargement_overlap line 77