OAI/Probability/SKFluctuations/PhysicalQuantileSampling.lean

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29 declarations, 0 contain sorry, 0 declared as axioms

Physical Quantile Sampling.

  1. theorem OAI.SKFluctuations.physicalQuantileGrid_coord_of_radius line 20
  2. theorem OAI.SKFluctuations.physicalQuantileSample_coord line 32
  3. theorem OAI.SKFluctuations.physicalQuantileSample_regular line 49
  4. def OAI.SKFluctuations.radiusCellMeasure line 86
  5. instance OAI.SKFluctuations.radiusCellMeasure_finite line 89
  6. theorem OAI.SKFluctuations.integral_radiusCellMeasure line 98
  7. theorem OAI.SKFluctuations.radiusCellMeasure_le line 115
  8. theorem OAI.SKFluctuations.integral_radiusCellMeasure_allow_zero line 137
  9. theorem OAI.SKFluctuations.radiusCellMeasure_le_allow_zero line 156
  10. def OAI.SKFluctuations.Hierarchy.realizeHierarchyPath line 213
  11. theorem OAI.SKFluctuations.Hierarchy.measurable_realizeHierarchyPath line 219
  12. theorem OAI.SKFluctuations.Hierarchy.measurable_hierarchyJointDensity line 231
  13. theorem OAI.SKFluctuations.Hierarchy.hierarchyJointDensity_cons line 252
  14. theorem OAI.SKFluctuations.Hierarchy.lintegral_hierarchyPathKernel_density line 266
  15. theorem OAI.SKFluctuations.Hierarchy.measurable_hierarchyJointDensity_joint line 379
  16. theorem OAI.SKFluctuations.Hierarchy.measurable_rootedJointDensity line 399
  17. def OAI.SKFluctuations.Hierarchy.rootedHierarchyPathLaw line 409
  18. theorem OAI.SKFluctuations.Hierarchy.rootedHierarchyPathLaw_probability line 414
  19. def OAI.SKFluctuations.Hierarchy.realizeRootedPath line 422
  20. theorem OAI.SKFluctuations.Hierarchy.measurable_realizeRootedPath line 427
  21. theorem OAI.SKFluctuations.Hierarchy.lintegral_rootedHierarchyPathLaw line 433
  22. theorem OAI.SKFluctuations.Hierarchy.rootedHierarchyPathLaw_eq_flat line 468
  23. theorem OAI.SKFluctuations.Hierarchy.ForwardPath.spin_realize line 508
  24. def OAI.SKFluctuations.Hierarchy.physicalNodePair line 518
  25. def OAI.SKFluctuations.Hierarchy.physicalPinnedPair line 526
  26. theorem OAI.SKFluctuations.Hierarchy.physicalNodePair_measurable line 536
  27. theorem OAI.SKFluctuations.Hierarchy.physicalPinnedPair_measurable line 545
  28. theorem OAI.SKFluctuations.Hierarchy.physicalNodePair_driver line 562
  29. theorem OAI.SKFluctuations.Hierarchy.physicalPinnedPair_eq_frames line 569