OAI/Analysis/LipschitzHilbert/Trees/SlopePartitionGrid.lean
8 declarations, 0 contain sorry, 0 declared as axioms
The exact finite smooth partition uses the same arithmetic labels as the packet model; their local multiplicity is uniform in the truncation.
- theorem
OAI.LipschitzHilbert.SourceSlopeLabels.injective_integer_multiplicityline 12 - def
OAI.LipschitzHilbert.PacketRepresentation.finiteSlopeLabelsline 27 - def
OAI.LipschitzHilbert.PacketRepresentation.finiteSlopeCenterline 28 - def
OAI.LipschitzHilbert.PacketRepresentation.scaledSlopePartitionline 30 - theorem
OAI.LipschitzHilbert.PacketRepresentation.scaledSlopePartition_applyline 33 - theorem
OAI.LipschitzHilbert.PacketRepresentation.scaledSlopePartition_supportline 39 - theorem
OAI.LipschitzHilbert.PacketRepresentation.finiteSlopePartition_sumline 46 - theorem
OAI.LipschitzHilbert.PacketRepresentation.exists_finiteSlopeCenter_multiplicityline 60