OAI/Algebra/FormulaHitting/Series.lean

GitHub source file

33 declarations, 0 contain sorry, 0 declared as axioms

  1. def OAI.NCHitting.integral line 16
  2. theorem OAI.NCHitting.coeff_integral_zero line 22
  3. theorem OAI.NCHitting.coeff_integral_succ line 26
  4. theorem OAI.NCHitting.constantCoeff_integral line 31
  5. theorem OAI.NCHitting.derivative_integral line 35
  6. theorem OAI.NCHitting.integral_unique line 41
  7. theorem OAI.NCHitting.integral_zero line 49
  8. theorem OAI.NCHitting.integral_add line 54
  9. theorem OAI.NCHitting.integral_smul line 62
  10. def OAI.NCHitting.kernel line 69
  11. theorem OAI.NCHitting.coeff_kernel line 73
  12. def OAI.NCHitting.J line 77
  13. theorem OAI.NCHitting.derivative_J line 79
  14. theorem OAI.NCHitting.constantCoeff_J line 83
  15. theorem OAI.NCHitting.J_zero line 87
  16. theorem OAI.NCHitting.J_add line 90
  17. theorem OAI.NCHitting.J_smul line 94
  18. def OAI.NCHitting.JLinear line 97
  19. theorem OAI.NCHitting.J_sum line 103
  20. theorem OAI.NCHitting.coeff_J line 108
  21. theorem OAI.NCHitting.coeff_J_eq_zero line 126
  22. theorem OAI.NCHitting.kernel_mul_linear line 134
  23. def OAI.NCHitting.wordSeries line 151
  24. theorem OAI.NCHitting.wordSeries_nil line 156
  25. theorem OAI.NCHitting.wordSeries_cons line 158
  26. theorem OAI.NCHitting.derivative_wordSeries_cons line 161
  27. theorem OAI.NCHitting.constantCoeff_wordSeries_cons line 165
  28. theorem OAI.NCHitting.coeff_wordSeries_below line 169
  29. theorem OAI.NCHitting.length_le_order_wordSeries line 182
  30. theorem OAI.NCHitting.map_integral line 190
  31. theorem OAI.NCHitting.map_kernel line 198
  32. theorem OAI.NCHitting.map_J line 204
  33. theorem OAI.NCHitting.map_wordSeries line 209