OAI/NumberTheory/PrimeGaps/DivisorBounds.lean

GitHub source file

27 declarations, 0 contain sorry, 0 declared as axioms

  1. theorem OAI.LargePrimeGaps.divisorSum_eq_product_bounded line 9
  2. def OAI.LargePrimeGaps.unmarkedDensitySum line 33
  3. theorem OAI.LargePrimeGaps.unmarked_arithmetic_error line 38
  4. theorem OAI.LargePrimeGaps.unmarked_arithmetic_error_exponential line 88
  5. theorem OAI.LargePrimeGaps.unmarked_arithmetic_error_log_decay line 117
  6. def OAI.LargePrimeGaps.squarefreeModulusFiber line 145
  7. theorem OAI.LargePrimeGaps.card_divisors_of_squarefree line 149
  8. theorem OAI.LargePrimeGaps.squarefreeModulusFiber_card_le line 160
  9. theorem OAI.LargePrimeGaps.squarefreeModulusFiber_card_le_pow line 174
  10. def OAI.LargePrimeGaps.markedTupleCompatible line 180
  11. def OAI.LargePrimeGaps.markedTupleDensity line 183
  12. def OAI.LargePrimeGaps.markedError line 187
  13. theorem OAI.LargePrimeGaps.markedClassError_le line 193
  14. theorem OAI.LargePrimeGaps.markedTupleCompatible_iff_coprime line 205
  15. theorem OAI.LargePrimeGaps.markedTupleCompatible_imp line 218
  16. theorem OAI.LargePrimeGaps.markedTuple_density_error line 223
  17. def OAI.LargePrimeGaps.markedLocalCompatible line 252
  18. theorem OAI.LargePrimeGaps.markedTupleCompatible_iff_local line 256
  19. theorem OAI.LargePrimeGaps.totient_eq_primeFactors_prod_of_squarefree line 279
  20. theorem OAI.LargePrimeGaps.sum_marked_divisibility_eq line 284
  21. theorem OAI.LargePrimeGaps.finite_marked_density_sum_error line 297
  22. theorem OAI.LargePrimeGaps.squarefree_tuple_modulus_sum_bound line 330
  23. def OAI.LargePrimeGaps.squarefreeProductTuples line 371
  24. theorem OAI.LargePrimeGaps.divisorSum_eq_squarefree_product_bounded line 374
  25. def OAI.LargePrimeGaps.markedDensitySum line 390
  26. theorem OAI.LargePrimeGaps.floor_support_le_X line 395
  27. theorem OAI.LargePrimeGaps.marked_arithmetic_error line 405