OAI/Analysis/LipschitzHilbert/Packets/VariationPacketL1.lean

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5 declarations, 0 contain sorry, 0 declared as axioms

The variation of packet partial sums is bounded by the sum of packet norms. This is used for the long-scale spatial oscillation and error terms.

  1. def OAI.LipschitzHilbert.packetPartialSum line 13
  2. theorem OAI.LipschitzHilbert.monotone_partition_crossing_unique line 16
  3. theorem OAI.LipschitzHilbert.partition_single_step_cube_le line 33
  4. theorem OAI.LipschitzHilbert.cubicVariation_single_step_le line 63
  5. theorem OAI.LipschitzHilbert.cubicVariation_packetPartialSum_le line 78