OAI/Analysis/FreeEntropy/CyclicSeries.lean

GitHub source file

26 declarations, 0 contain sorry, 0 declared as axioms

  1. def OAI.FiniteEntropySeparation.FreeSeries.rightDeriv line 12
  2. def OAI.FiniteEntropySeparation.FreeSeries.Cyclic line 13
  3. theorem OAI.FiniteEntropySeparation.FreeSeries.rightDeriv_apply line 14
  4. theorem OAI.FiniteEntropySeparation.FreeSeries.rightDeriv_conv line 16
  5. theorem OAI.FiniteEntropySeparation.FreeSeries.rightDeriv_conv' line 30
  6. theorem OAI.FiniteEntropySeparation.FreeSeries.rightDeriv_unit line 33
  7. theorem OAI.FiniteEntropySeparation.FreeSeries.rightDeriv_zero line 36
  8. theorem OAI.FiniteEntropySeparation.FreeSeries.rightDeriv_add line 37
  9. theorem OAI.FiniteEntropySeparation.FreeSeries.rightDeriv_sub line 39
  10. theorem OAI.FiniteEntropySeparation.FreeSeries.rightDeriv_smul line 41
  11. theorem OAI.FiniteEntropySeparation.FreeSeries.rightDeriv_sum line 43
  12. theorem OAI.FiniteEntropySeparation.FreeSeries.rightDeriv_letter line 47
  13. theorem OAI.FiniteEntropySeparation.FreeSeries.series_ext_right line 52
  14. def OAI.FiniteEntropySeparation.FreeSeries.rightAssemble line 59
  15. theorem OAI.FiniteEntropySeparation.FreeSeries.rightAssemble_nil line 60
  16. theorem OAI.FiniteEntropySeparation.FreeSeries.rightDeriv_assemble line 62
  17. theorem OAI.FiniteEntropySeparation.FreeSeries.assemble_rightDeriv line 70
  18. theorem OAI.FiniteEntropySeparation.FreeSeries.Cyclic.assemble line 76
  19. theorem OAI.FiniteEntropySeparation.FreeSeries.cyclic_of_assemble line 80
  20. theorem OAI.FiniteEntropySeparation.FreeSeries.conv_sum_left line 86
  21. theorem OAI.FiniteEntropySeparation.FreeSeries.conv_sum_right line 92
  22. theorem OAI.FiniteEntropySeparation.FreeSeries.subst_sum line 98
  23. theorem OAI.FiniteEntropySeparation.FreeSeries.subst_letter line 104
  24. theorem OAI.FiniteEntropySeparation.FreeSeries.subst_rightAssemble line 110
  25. theorem OAI.FiniteEntropySeparation.FreeSeries.cyclic_cumulants line 114
  26. theorem OAI.FiniteEntropySeparation.FreeSeries.cyclic_moments line 138