OAI/Combinatorics/Progressions/Estimates/ScalarCubeFaceSlab.lean

GitHub source file

33 declarations, 0 contain sorry, 0 declared as axioms

  1. def OAI.Erdos3.closedScalarCubeDomain line 12
  2. theorem OAI.Erdos3.scalarCubeDomain_subset_closed line 15
  3. theorem OAI.Erdos3.closedScalarCubeDomain_isClosed line 19
  4. theorem OAI.Erdos3.closedScalarCubeDomain_iff_faces line 27
  5. theorem OAI.Erdos3.closedScalarCubeDomain_coordinate_abs_le_one line 40
  6. theorem OAI.Erdos3.closedScalarCubeDomain_compact line 51
  7. theorem OAI.Erdos3.closedScalarCubeFace_zero_volume line 72
  8. theorem OAI.Erdos3.closedScalarCubeDomain_boundary_null line 115
  9. theorem OAI.Erdos3.scalarCubeDomain_ae_closed line 131
  10. def OAI.Erdos3.closedScalarCubeMeasure line 142
  11. theorem OAI.Erdos3.closedScalarCubeMeasure_eq line 146
  12. instance OAI.Erdos3.closedScalarCubeMeasure_probability line 152
  13. def OAI.Erdos3.halfOpenScalarCubeDomain line 168
  14. theorem OAI.Erdos3.halfOpenScalarCubeDomain_measurable line 171
  15. theorem OAI.Erdos3.scalarCubeDomain_subset_halfOpen line 181
  16. theorem OAI.Erdos3.halfOpenScalarCubeDomain_subset_closed line 185
  17. theorem OAI.Erdos3.halfOpenScalarCubeDomain_norm_le line 189
  18. theorem OAI.Erdos3.halfOpenScalarCubeDomain_ae line 195
  19. def OAI.Erdos3.scalarCubeIndicator line 205
  20. theorem OAI.Erdos3.scalarCubeIndicator_range line 208
  21. theorem OAI.Erdos3.scalarCubeIndicator_zero_outside line 213
  22. theorem OAI.Erdos3.scalarCubeIndicator_integrable line 218
  23. theorem OAI.Erdos3.scalarCubeIndicator_integral line 225
  24. theorem OAI.Erdos3.scalarCubeValue_smul line 247
  25. def OAI.Erdos3.scaledScalarCubeDomain line 255
  26. theorem OAI.Erdos3.scaledScalarCubeDomain_smul_iff line 259
  27. theorem OAI.Erdos3.scaledScalarCubeDomain_eq_image line 267
  28. theorem OAI.Erdos3.scaledScalarCubeDomain_isOpen line 279
  29. def OAI.Erdos3.scalarCubeFaceSlab line 300
  30. theorem OAI.Erdos3.scalarCubeFaceSlab_measurable line 304
  31. theorem OAI.Erdos3.scalarCubeFaceSlab_finite line 309
  32. theorem OAI.Erdos3.scalarCubeFaceSlab_fiber_bound line 313
  33. theorem OAI.Erdos3.scalarCubeFaceSlab_volume_le line 329