OAI/Analysis/LipschitzHilbert/Trees/SourceTreeCells.lean

GitHub source file

13 declarations, 0 contain sorry, 0 declared as axioms

A disjoint half-open partition underneath the manuscript's closed transverse cells. Boundary points are retained exactly once.

  1. def OAI.LipschitzHilbert.SourceWhitney.transverseCell line 15
  2. theorem OAI.LipschitzHilbert.SourceWhitney.transverseCell_measurable line 18
  3. theorem OAI.LipschitzHilbert.SourceWhitney.transverseCell_length line 21
  4. theorem OAI.LipschitzHilbert.SourceWhitney.transverseCell_bound line 26
  5. theorem OAI.LipschitzHilbert.SourceWhitney.transverseCell_disjoint line 30
  6. theorem OAI.LipschitzHilbert.SourceWhitney.mem_transverseCell_floor line 46
  7. def OAI.LipschitzHilbert.SourceWhitney.partitionCell line 56
  8. theorem OAI.LipschitzHilbert.SourceWhitney.partitionCell_measurable line 59
  9. theorem OAI.LipschitzHilbert.SourceWhitney.partitionCell_finite line 63
  10. theorem OAI.LipschitzHilbert.SourceWhitney.partitionCell_area line 68
  11. theorem OAI.LipschitzHilbert.SourceWhitney.partitionCell_subset_box line 72
  12. theorem OAI.LipschitzHilbert.SourceWhitney.partitionCell_subset_treeCell line 80
  13. theorem OAI.LipschitzHilbert.SourceWhitney.partitionCell_disjoint line 86