OAI/Analysis/LipschitzHilbert/Estimates/FiniteNarrowPartition.lean

GitHub source file

7 declarations, 0 contain sorry, 0 declared as axioms

A finite smooth partition over any compact set avoiding zero. Every piece is absorbed by a positive dilation of the fixed narrow cutoff.

  1. abbrev OAI.LipschitzHilbert.PacketRepresentation.NarrowWindow line 11
  2. def OAI.LipschitzHilbert.PacketRepresentation.narrowPartition line 13
  3. theorem OAI.LipschitzHilbert.PacketRepresentation.sum_sub_mul line 18
  4. theorem OAI.LipschitzHilbert.PacketRepresentation.narrowPartition_sum_cons line 24
  5. theorem OAI.LipschitzHilbert.PacketRepresentation.narrowPartition_sum_of_one line 33
  6. theorem OAI.LipschitzHilbert.PacketRepresentation.narrowPartition_absorb line 45
  7. theorem OAI.LipschitzHilbert.PacketRepresentation.exists_finite_narrow_partition line 63