OAI/Probability/SLEGauge/PhaseStopping.lean

GitHub source file

31 declarations, 0 contain sorry, 0 declared as axioms

Hausdorff gauges, Loewner evolution and trace measures.

  1. lemma OAI.ExactSLEGreen.phaseActive_mem line 26
  2. lemma OAI.ExactSLEGreen.phaseConstant_pos line 28
  3. lemma OAI.ExactSLEGreen.phaseSigma_bound line 33
  4. lemma OAI.ExactSLEGreen.physicalRegularized_pos line 37
  5. lemma OAI.ExactSLEGreen.regularizedProduct_pos line 42
  6. lemma OAI.ExactSLEGreen.phaseProduct_pos line 46
  7. lemma OAI.ExactSLEGreen.physicalRegularized_activation line 49
  8. lemma OAI.ExactSLEGreen.physicalRegularized_completion line 55
  9. lemma OAI.ExactSLEGreen.physicalRegularized_midpoint line 63
  10. lemma OAI.ExactSLEGreen.physicalRegularized_measurable line 71
  11. lemma OAI.ExactSLEGreen.phaseProduct_measurable line 77
  12. lemma OAI.ExactSLEStops.phase_mono line 87
  13. lemma OAI.ExactSLEStops.boundary_eq line 94
  14. def OAI.ExactSLEGreen.phaseFactor line 101
  15. lemma OAI.ExactSLEGreen.phaseProduct_eq_prod line 105
  16. lemma OAI.ExactSLEGreen.phaseFactor_pos line 114
  17. lemma OAI.ExactSLEGreen.phaseFactor_transition line 122
  18. def OAI.ExactSLEGreen.actualPhase line 172
  19. lemma OAI.ExactSLEGreen.actualPhase_measurable line 176
  20. lemma OAI.ExactSLEGreen.active_phase_interval line 189
  21. lemma OAI.ExactSLEGreen.phase_delta_le line 201
  22. lemma OAI.ExactSLEGreen.actual_phase_interval_safe line 212
  23. lemma OAI.ExactSLEGreen.levelTime_clock_at_eq line 252
  24. lemma OAI.ExactSLEGreen.actual_phase_transition line 258
  25. lemma OAI.ExactSLEGreen.vectorState_stopped_measurable line 292
  26. lemma OAI.ExactSLEGreen.regimeState_stopped_measurable line 299
  27. lemma OAI.ExactSLEGreen.regularizedProduct_measurable line 307
  28. lemma OAI.ExactSLEGreen.regularizedProduct_bound line 312
  29. lemma OAI.ExactSLEGreen.regimeState_discount_bound line 321
  30. lemma OAI.ExactSLEGreen.regularizedProduct_indicator_integrable line 332
  31. theorem OAI.ExactSLEGreen.vector_regime_event_comparison line 356