OAI/Combinatorics/StripMass/PositiveAssociation.lean

GitHub source file

28 declarations, 0 contain sorry, 0 declared as axioms

Critical honeycomb strip paths, polynomial identities and crossing mass.

  1. lemma OAI.CriticalStrip.association_sampled line 13
  2. lemma OAI.CriticalStrip.measurable_sampled line 58
  3. lemma OAI.CriticalStrip.integral_tendsto_quantization line 68
  4. lemma OAI.CriticalStrip.association_compact_product line 94
  5. def OAI.CriticalStrip.orderedProductDensity line 123
  6. lemma OAI.CriticalStrip.orderedProductDensity_nonneg line 126
  7. lemma OAI.CriticalStrip.continuousOn_orderedProductDensity line 135
  8. lemma OAI.CriticalStrip.orderedProductDensity_logSupermodular line 154
  9. lemma OAI.CriticalStrip.orderedProductDensity_eq line 186
  10. lemma OAI.CriticalStrip.orderedProductDensity_eq_zero line 198
  11. theorem OAI.CriticalStrip.ordered_density_association_compact line 211
  12. lemma OAI.CriticalStrip.weighted_covariance_shift line 239
  13. theorem OAI.CriticalStrip.ordered_density_covariance_compact line 271
  14. theorem OAI.CriticalStrip.ordered_density_reverse_covariance_compact line 303
  15. def OAI.CriticalStrip.orderedChamber line 324
  16. def OAI.CriticalStrip.rawProductDensity line 327
  17. lemma OAI.CriticalStrip.isOpen_strictMono_coordinates line 330
  18. lemma OAI.CriticalStrip.coordinateBox_eq_pi line 339
  19. lemma OAI.CriticalStrip.measurableSet_coordinateBox line 344
  20. lemma OAI.CriticalStrip.orderedProductDensity_indicator line 352
  21. lemma OAI.CriticalStrip.orderedProductDensity_mul_indicator line 362
  22. lemma OAI.CriticalStrip.orderedChamber_eq_inter line 370
  23. lemma OAI.CriticalStrip.integral_orderedProductDensity_mul line 373
  24. lemma OAI.CriticalStrip.integrable_orderedProductDensity_mul_iff line 380
  25. lemma OAI.CriticalStrip.integral_orderedProductDensity line 388
  26. lemma OAI.CriticalStrip.integrable_orderedProductDensity_iff line 393
  27. lemma OAI.CriticalStrip.coordinateBox_mono line 398
  28. lemma OAI.CriticalStrip.coordinateBox_iUnion_of_monotone line 401