OAI/Geometry/CylinderCovering/Ruled/CellArea.lean

GitHub source file

21 declarations, 0 contain sorry, 0 declared as axioms

  1. def OAI.ProductCells.cellHeight line 10
  2. lemma OAI.ProductCells.cellHeight_continuous line 12
  3. lemma OAI.ProductCells.cellHeight_pos line 18
  4. lemma OAI.ProductCells.cellHeight_small line 22
  5. lemma OAI.ProductCells.cellHeight_large line 28
  6. lemma OAI.ProductCells.abs_le_cellHeight_iff line 32
  7. lemma OAI.ProductCells.closedCell_eq_height line 58
  8. lemma OAI.ProductCells.integral_cellHeight_quadrant line 65
  9. lemma OAI.ProductCells.integral_cellHeight_full line 86
  10. lemma OAI.ProductCells.volume_closedCell_eq_region line 99
  11. theorem OAI.ProductCells.volume_closedCell line 131
  12. theorem OAI.ProductCells.area_closedCell line 147
  13. lemma OAI.ProductCells.abs_lt_cellHeight_iff line 153
  14. lemma OAI.ProductCells.openCell_eq_region line 181
  15. theorem OAI.ProductCells.volume_openCell line 188
  16. theorem OAI.ProductCells.area_openCell line 205
  17. theorem OAI.ProductCells.geometric_area_ratio line 211
  18. lemma OAI.ProductCells.volume_closedCell_sdiff_openCell line 227
  19. lemma OAI.ProductCells.volume_frontier_closedCell line 237
  20. lemma OAI.ProductCells.volume_frontier_openCell line 247
  21. theorem OAI.ProductCells.geometry_proof line 256