OAI/MeasureTheory/SelfSimilar/Basic.lean

GitHub source file

19 declarations, 0 contain sorry, 0 declared as axioms

  1. theorem OAI.EntropyRateDimension.System.weight_nonneg line 14
  2. theorem OAI.EntropyRateDimension.System.weight_le_one line 17
  3. theorem OAI.EntropyRateDimension.System.affine_continuous line 21
  4. theorem OAI.EntropyRateDimension.System.wordWeight_pos line 25
  5. theorem OAI.EntropyRateDimension.System.wordWeight_sum line 29
  6. theorem OAI.EntropyRateDimension.System.mapMass_nonneg line 35
  7. theorem OAI.EntropyRateDimension.System.mapMass_sum line 40
  8. theorem OAI.EntropyRateDimension.System.mapMass_pos line 48
  9. theorem OAI.EntropyRateDimension.System.mapMass_le_one line 56
  10. theorem OAI.EntropyRateDimension.System.walkEntropy_nonneg line 63
  11. theorem OAI.EntropyRateDimension.System.entropyRate_nonneg line 69
  12. theorem OAI.EntropyRateDimension.System.entropyRate_le line 74
  13. theorem OAI.EntropyRateDimension.System.lyapunov_pos line 82
  14. theorem OAI.EntropyRateDimension.lowerHausdorffDimension_le_one line 93
  15. theorem OAI.EntropyRateDimension.System.exists_uniform_bounds line 104
  16. theorem OAI.EntropyRateDimension.System.selfSimilar_apply line 116
  17. theorem OAI.EntropyRateDimension.System.selfSimilar_compact line 124
  18. theorem OAI.EntropyRateDimension.binaryEntropy_quadratic_concave line 194
  19. theorem OAI.EntropyRateDimension.binaryEntropy_midpoint_gap line 219