OAI/Probability/SKRatio/Entropy/FiniteEntropy.lean

GitHub source file

16 declarations, 0 contain sorry, 0 declared as axioms

  1. def OAI.SKRatio.Observation.logRemainder line 13
  2. lemma OAI.SKRatio.Observation.logRemainder_nonneg line 15
  3. lemma OAI.SKRatio.Observation.logRemainder_eq line 26
  4. lemma OAI.SKRatio.Observation.ent_nonneg line 31
  5. lemma OAI.SKRatio.Observation.avg_sum line 38
  6. lemma OAI.SKRatio.Observation.avg_logRemainder line 43
  7. lemma OAI.SKRatio.Observation.ent_minimizes line 52
  8. lemma OAI.SKRatio.Observation.ent_eq_remainder line 57
  9. lemma OAI.SKRatio.Observation.prior_le_one line 62
  10. lemma OAI.SKRatio.Observation.ent_bound line 66
  11. lemma OAI.SKRatio.Observation.continuous_entropy_masses line 72
  12. lemma OAI.SKRatio.Observation.avg_ent_eq_remainder line 79
  13. lemma OAI.SKRatio.Observation.avg_log_le_log_avg line 87
  14. lemma OAI.SKRatio.Observation.ent_le_cov_log line 93
  15. lemma OAI.SKRatio.Observation.logSum line 100
  16. theorem OAI.SKRatio.Observation.entropy_average_le line 123