OAI/InformationTheory/BooleanNoise/EntropyScalars.lean

GitHub source file

26 declarations, 0 contain sorry, 0 declared as axioms

  1. theorem OAI.LeanBlast.CourtadeKumar.ell_pos line 13
  2. theorem OAI.LeanBlast.CourtadeKumar.ell_lt_one line 15
  3. theorem OAI.LeanBlast.CourtadeKumar.psi_zero line 20
  4. theorem OAI.LeanBlast.CourtadeKumar.psi_one line 21
  5. theorem OAI.LeanBlast.CourtadeKumar.psi_neg line 23
  6. theorem OAI.LeanBlast.CourtadeKumar.psi_neg_one line 27
  7. theorem OAI.LeanBlast.CourtadeKumar.entropy_zero line 29
  8. theorem OAI.LeanBlast.CourtadeKumar.entropy_one line 30
  9. theorem OAI.LeanBlast.CourtadeKumar.entropy_neg line 31
  10. theorem OAI.LeanBlast.CourtadeKumar.entropy_neg_one line 32
  11. theorem OAI.LeanBlast.CourtadeKumar.entropy_eq_binEntropy line 34
  12. theorem OAI.LeanBlast.CourtadeKumar.continuous_entropy line 47
  13. theorem OAI.LeanBlast.CourtadeKumar.continuous_psi line 53
  14. theorem OAI.LeanBlast.CourtadeKumar.psi_nonneg line 58
  15. theorem OAI.LeanBlast.CourtadeKumar.entropy_le_ell line 64
  16. theorem OAI.LeanBlast.CourtadeKumar.entropy_nonneg line 67
  17. theorem OAI.LeanBlast.CourtadeKumar.entropy_pos line 71
  18. theorem OAI.LeanBlast.CourtadeKumar.psi_le_ell line 75
  19. theorem OAI.LeanBlast.CourtadeKumar.psi_lt_ell line 80
  20. theorem OAI.LeanBlast.CourtadeKumar.strictMonoOn_psi line 85
  21. theorem OAI.LeanBlast.CourtadeKumar.concaveOn_entropy line 95
  22. theorem OAI.LeanBlast.CourtadeKumar.convexOn_psi line 109
  23. theorem OAI.LeanBlast.CourtadeKumar.artanh_eq_log_sub line 115
  24. theorem OAI.LeanBlast.CourtadeKumar.hasDerivAt_psi line 121
  25. theorem OAI.LeanBlast.CourtadeKumar.hasDerivAt_entropy line 136
  26. theorem OAI.LeanBlast.CourtadeKumar.hasDerivAt_artanh line 140