OAI/MeasureTheory/SelfSimilar/PairGain.lean

GitHub source file

31 declarations, 0 contain sorry, 0 declared as axioms

  1. def OAI.EntropyRateDimension.MeasureEntropy.shiftLaw line 11
  2. instance OAI.EntropyRateDimension.MeasureEntropy.shiftLaw_probability line 13
  3. theorem OAI.EntropyRateDimension.MeasureEntropy.CompactlyCarried.shiftLaw line 17
  4. theorem OAI.EntropyRateDimension.MeasureEntropy.shiftLaw_add line 20
  5. def OAI.EntropyRateDimension.MeasureEntropy.window line 28
  6. theorem OAI.EntropyRateDimension.MeasureEntropy.window_shiftLaw line 30
  7. def OAI.EntropyRateDimension.MeasureEntropy.pairLaw line 35
  8. instance OAI.EntropyRateDimension.MeasureEntropy.pairLaw_probability line 38
  9. theorem OAI.EntropyRateDimension.MeasureEntropy.CompactlyCarried.pairLaw line 43
  10. theorem OAI.EntropyRateDimension.MeasureEntropy.pairLaw_comm line 49
  11. theorem OAI.EntropyRateDimension.MeasureEntropy.pairLaw_eq_shift_fair line 51
  12. theorem OAI.EntropyRateDimension.MeasureEntropy.pairLaw_gain line 65
  13. def OAI.EntropyRateDimension.MeasureEntropy.finiteConv line 82
  14. instance OAI.EntropyRateDimension.MeasureEntropy.finiteConv_probability line 85
  15. theorem OAI.EntropyRateDimension.MeasureEntropy.CompactlyCarried.finiteConv line 89
  16. theorem OAI.EntropyRateDimension.MeasureEntropy.finiteConv_window_mono line 93
  17. theorem OAI.EntropyRateDimension.MeasureEntropy.deficit_mixture line 99
  18. theorem OAI.EntropyRateDimension.MeasureEntropy.deficit_scale line 111
  19. theorem OAI.EntropyRateDimension.FairPairs.incident_smul_sum line 124
  20. def OAI.EntropyRateDimension.FairPairs.residual line 150
  21. theorem OAI.EntropyRateDimension.FairPairs.residual_nonneg line 153
  22. theorem OAI.EntropyRateDimension.FairPairs.residual_total line 156
  23. def OAI.EntropyRateDimension.FairPairs.decompositionWeight line 163
  24. def OAI.EntropyRateDimension.FairPairs.decompositionLaw line 166
  25. theorem OAI.EntropyRateDimension.FairPairs.decompositionWeight_nonneg line 171
  26. theorem OAI.EntropyRateDimension.FairPairs.decompositionWeight_sum line 178
  27. instance OAI.EntropyRateDimension.FairPairs.decompositionLaw_probability line 183
  28. theorem OAI.EntropyRateDimension.FairPairs.decompositionLaw_compact line 187
  29. theorem OAI.EntropyRateDimension.FairPairs.finiteConv_decomposition line 193
  30. theorem OAI.EntropyRateDimension.MeasureEntropy.finiteConv_gain line 225
  31. theorem OAI.EntropyRateDimension.MeasureEntropy.finiteConv_mean_gain line 258