OAI/NumberTheory/PiExponent/Analysis/PeriodAnalytic.lean

GitHub source file

18 declarations, 0 contain sorry, 0 declared as axioms

  1. def OAI.PiExponent.PeriodAnalytic.periodSeries line 11
  2. def OAI.PiExponent.PeriodAnalytic.periodFunction line 15
  3. theorem OAI.PiExponent.PeriodAnalytic.hasSum_coeff_C line 18
  4. theorem OAI.PiExponent.PeriodAnalytic.hasSum_coeff_X line 24
  5. theorem OAI.PiExponent.PeriodAnalytic.hasSum_coeff_add line 30
  6. theorem OAI.PiExponent.PeriodAnalytic.hasSum_periodSeries line 36
  7. theorem OAI.PiExponent.PeriodAnalytic.analyticAt_periodFunction line 44
  8. theorem OAI.PiExponent.PeriodAnalytic.hasFPowerSeriesAt_periodFunction line 52
  9. theorem OAI.PiExponent.PeriodAnalytic.rowTest_periodFunction_eq_coeff line 62
  10. theorem OAI.PiExponent.PeriodAnalytic.rowTest_congr_sphere line 79
  11. theorem OAI.PiExponent.PeriodAnalytic.periodFunction_eq_exponentialMonomial line 90
  12. theorem OAI.PiExponent.PeriodAnalytic.exp_period_center line 101
  13. theorem OAI.PiExponent.PeriodAnalytic.rowTest_exponentialMonomial_eq_coeff line 105
  14. theorem OAI.PiExponent.PeriodAnalytic.periodMonomial_coeff_eq_rowTest line 118
  15. theorem OAI.PiExponent.PeriodAnalytic.norm_binomial_product_le line 128
  16. def OAI.PiExponent.PeriodAnalytic.columnFunction line 137
  17. theorem OAI.PiExponent.PeriodAnalytic.differentiable_columnFunction line 142
  18. theorem OAI.PiExponent.PeriodAnalytic.norm_columnFunction_le line 146