OAI/NumberTheory/Ostmann/SharpSieveSpacing.lean

GitHub source file

22 declarations, 0 contain sorry, 0 declared as axioms

  1. theorem OAI.Ostmann.SharpSieve.reduced_nat_fraction_cross_injective line 8
  2. theorem OAI.Ostmann.SharpSieve.reduced_nat_fraction_real_injective line 24
  3. theorem OAI.Ostmann.SharpSieve.reduced_nat_fraction_rat_injective line 34
  4. theorem OAI.Ostmann.SharpSieve.rational_spacing_mod_one line 44
  5. theorem OAI.Ostmann.SharpSieve.rational_spacing_circle line 88
  6. def OAI.Ostmann.SharpSieve.ReducedFrequency line 100
  7. instance OAI.Ostmann.SharpSieve.(instance at line 103) line 103
  8. def OAI.Ostmann.SharpSieve.ReducedFrequency.denominator line 117
  9. def OAI.Ostmann.SharpSieve.ReducedFrequency.numerator line 119
  10. def OAI.Ostmann.SharpSieve.ReducedFrequency.value line 121
  11. def OAI.Ostmann.SharpSieve.ReducedFrequency.point line 124
  12. theorem OAI.Ostmann.SharpSieve.ReducedFrequency.denominator_pos line 127
  13. theorem OAI.Ostmann.SharpSieve.ReducedFrequency.denominator_le line 129
  14. theorem OAI.Ostmann.SharpSieve.ReducedFrequency.numerator_lt line 131
  15. theorem OAI.Ostmann.SharpSieve.ReducedFrequency.coprime line 134
  16. theorem OAI.Ostmann.SharpSieve.ReducedFrequency.value_nonneg line 137
  17. theorem OAI.Ostmann.SharpSieve.ReducedFrequency.value_lt_one line 140
  18. theorem OAI.Ostmann.SharpSieve.ReducedFrequency.value_injective line 144
  19. theorem OAI.Ostmann.SharpSieve.ReducedFrequency.mod_one_spacing line 151
  20. theorem OAI.Ostmann.SharpSieve.ReducedFrequency.dist_spacing line 157
  21. theorem OAI.Ostmann.SharpSieve.ReducedFrequency.point_injective line 163
  22. theorem OAI.Ostmann.SharpSieve.ReducedFrequency.pairwise_dist line 172