OAI/InformationTheory/AmplitudeDamping/TypicalSets.lean

GitHub source file

20 declarations, 0 contain sorry, 0 declared as axioms

  1. def OAI.GAD.iidWeight line 14
  2. def OAI.GAD.iidSum line 15
  3. theorem OAI.GAD.iidWeight_nonneg line 18
  4. theorem OAI.GAD.iidWeight_total line 21
  5. theorem OAI.GAD.iid_split_sum line 27
  6. theorem OAI.GAD.iidSum_cons line 37
  7. theorem OAI.GAD.iid_centered_mean line 41
  8. theorem OAI.GAD.iid_centered_second line 56
  9. theorem OAI.GAD.iid_chebyshev line 75
  10. def OAI.GAD.classicalEntropy line 98
  11. def OAI.GAD.centeredLog line 99
  12. def OAI.GAD.logVariance line 100
  13. theorem OAI.GAD.centeredLog_mean line 102
  14. def OAI.GAD.IsTypical line 107
  15. theorem OAI.GAD.iid_log line 110
  16. theorem OAI.GAD.typical_weight_lower line 117
  17. theorem OAI.GAD.typical_weight_upper line 125
  18. theorem OAI.GAD.typical_tail line 133
  19. def OAI.GAD.typicalSet line 151
  20. theorem OAI.GAD.typical_card line 154