OAI/Analysis/LipschitzHilbert/Estimates/SlopePartition.lean

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9 declarations, 0 contain sorry, 0 declared as axioms

A concrete compact smooth partition on an arithmetic slope lattice. The finite sum is exactly one on its prescribed interval.

  1. def OAI.LipschitzHilbert.PacketRepresentation.slopePartitionReal line 12
  2. theorem OAI.LipschitzHilbert.PacketRepresentation.slopePartitionReal_nonneg line 14
  3. theorem OAI.LipschitzHilbert.PacketRepresentation.slopePartitionReal_le_one line 17
  4. theorem OAI.LipschitzHilbert.PacketRepresentation.slopePartitionReal_eq_zero line 21
  5. def OAI.LipschitzHilbert.PacketRepresentation.slopePartition line 28
  6. theorem OAI.LipschitzHilbert.PacketRepresentation.slopePartition_apply line 44
  7. theorem OAI.LipschitzHilbert.PacketRepresentation.slopePartition_support line 46
  8. theorem OAI.LipschitzHilbert.PacketRepresentation.slopePartitionReal_sum line 58
  9. theorem OAI.LipschitzHilbert.PacketRepresentation.slopePartition_sum_one line 69