OAI/Analysis/LipschitzHilbert/Trees/SourceSelectedPrefix.lean

GitHub source file

7 declarations, 0 contain sorry, 0 declared as axioms

Distant longer packets in a fixed selected tree form an actual initial scale segment, so their norm is bounded by its interval maximum.

  1. def OAI.LipschitzHilbert.SourceLabeledLattice.onPackets line 16
  2. theorem OAI.LipschitzHilbert.SourceLabeledLattice.onPackets_nonzero line 21
  3. theorem OAI.LipschitzHilbert.SourceLabeledLattice.onPackets_energy_sum line 28
  4. theorem OAI.LipschitzHilbert.SourceLabeledLattice.packetVector_onPackets line 47
  5. theorem OAI.LipschitzHilbert.SourceLabeledLattice.physicalTreePartial_index_sum line 56
  6. theorem OAI.LipschitzHilbert.SourceLabeledLattice.selected_partial_eq line 68
  7. theorem OAI.LipschitzHilbert.SourceLabeledLattice.selected_long_prefix_le_maximal line 86