OAI/Probability/FreeIsing/Energy/ProgressiveIsingCovariance.lean

GitHub source file

31 declarations, 0 contain sorry, 0 declared as axioms

  1. def OAI.Problem367.pairExhaustion line 17
  2. lemma OAI.Problem367.mem_pairExhaustion_left line 20
  3. lemma OAI.Problem367.mem_pairExhaustion_right line 23
  4. lemma OAI.Problem367.pairExhaustion_monotone line 30
  5. lemma OAI.Problem367.pairExhaustion_connected line 35
  6. lemma OAI.Problem367.exists_mem_pairExhaustion line 38
  7. def OAI.Problem367.finiteGibbsPairMean line 43
  8. lemma OAI.Problem367.continuous_finiteGibbsPairMean line 51
  9. def OAI.Problem367.infiniteGibbsPairMean line 56
  10. lemma OAI.Problem367.measurable_infiniteGibbsPairMean line 60
  11. lemma OAI.Problem367.infiniteGibbsPairMean_abs_le_one line 68
  12. lemma OAI.Problem367.spinSign_pair_norm_le_one line 73
  13. theorem OAI.Problem367.HasFreeIsingLaw.infiniteGibbsPairMean_eq_posterior line 77
  14. theorem OAI.Problem367.isStronglyProgressive_infiniteGibbsPairMean line 111
  15. theorem OAI.Problem367.HasFreeIsingLaw.infiniteGibbsPairMean_eq_brownian_past line 123
  16. def OAI.Problem367.infiniteGibbsCovariance line 186
  17. lemma OAI.Problem367.measurable_infiniteGibbsCovariance line 191
  18. lemma OAI.Problem367.infiniteGibbsCovariance_abs_le_two line 197
  19. theorem OAI.Problem367.HasFreeIsingLaw.infiniteGibbsCovariance_eq_posterior line 207
  20. def OAI.Problem367.infiniteGibbsResponse line 220
  21. lemma OAI.Problem367.measurable_infiniteGibbsResponse line 224
  22. def OAI.Problem367.infiniteGibbsResponseRow line 229
  23. lemma OAI.Problem367.measurable_infiniteGibbsResponseRow line 233
  24. theorem OAI.Problem367.isStronglyProgressive_infiniteGibbsCovariance line 238
  25. theorem OAI.Problem367.isStronglyProgressive_infiniteGibbsResponseRow line 250
  26. theorem OAI.Problem367.HasFreeIsingLaw.infiniteGibbsCovariance_eq_brownian_past line 262
  27. theorem OAI.Problem367.HasFreeIsingLaw.exists_bounded_progressive_brownian_covariance line 285
  28. lemma OAI.Problem367.finiteGibbsPairMean_self line 318
  29. lemma OAI.Problem367.infiniteGibbsPairMean_self line 328
  30. lemma OAI.Problem367.infiniteGibbsCovariance_self line 335
  31. theorem OAI.Problem367.HasFreeIsingLaw.infiniteGibbsResponse_self_brownian line 340