OAI/Probability/SwitchChain/CountCoupling.lean

GitHub source file

20 declarations, 0 contain sorry, 0 declared as axioms

  1. theorem OAI.Problem315.CountCoupling.weighted_covariance_identity line 10
  2. theorem OAI.Problem315.CountCoupling.weighted_chebyshev line 29
  3. theorem OAI.Problem315.CountCoupling.weighted_chebyshev_of_monotone line 46
  4. theorem OAI.Problem315.CountCoupling.monotone_reweighting line 60
  5. def OAI.Problem315.CountCoupling.countWeight line 71
  6. theorem OAI.Problem315.CountCoupling.countWeight_pos line 74
  7. theorem OAI.Problem315.CountCoupling.countWeight_succ line 78
  8. theorem OAI.Problem315.CountCoupling.adjacent_likelihood_monotone line 89
  9. theorem OAI.Problem315.CountCoupling.mean_le_add_top_mass line 109
  10. def OAI.Problem315.CountCoupling.pairWeight line 121
  11. theorem OAI.Problem315.CountCoupling.pairWeight_pos line 124
  12. theorem OAI.Problem315.CountCoupling.pairWeight_succ line 127
  13. def OAI.Problem315.CountCoupling.pairExpectation line 136
  14. theorem OAI.Problem315.CountCoupling.pairExpectation_le_succ line 140
  15. theorem OAI.Problem315.CountCoupling.pairExpectation_congr line 180
  16. theorem OAI.Problem315.CountCoupling.sum_pairWeight_reflect line 189
  17. theorem OAI.Problem315.CountCoupling.pairExpectation_reflect line 204
  18. theorem OAI.Problem315.CountCoupling.pairExpectation_neg line 212
  19. theorem OAI.Problem315.CountCoupling.pairExpectation_succ_le_of_antitone line 216
  20. theorem OAI.Problem315.CountCoupling.pairExpectation_succ_le_shift line 223