OAI/NumberTheory/TotientAsymptotic/Mass.lean

GitHub source file

14 declarations, 0 contain sorry, 0 declared as axioms

Finiteness and order properties of the actual arithmetic prefix mass.

  1. def OAI.TotientAsymptotic.remainderPrimeBound line 13
  2. def OAI.TotientAsymptotic.remainderCofactorBound line 16
  3. lemma OAI.TotientAsymptotic.basic_remainder_prime_bound line 19
  4. lemma OAI.TotientAsymptotic.basic_remainder_cofactor_bound line 40
  5. def OAI.TotientAsymptotic.remainderUniverse line 47
  6. lemma OAI.TotientAsymptotic.remainderUniverse_finite line 51
  7. lemma OAI.TotientAsymptotic.basicRemainders_finite line 66
  8. def OAI.TotientAsymptotic.prefixOfRemainder line 72
  9. lemma OAI.TotientAsymptotic.isPrefixDatum_iff line 75
  10. theorem OAI.TotientAsymptotic.prefixData_finite line 88
  11. lemma OAI.TotientAsymptotic.mass_summand_support_finite line 95
  12. theorem OAI.TotientAsymptotic.mass_nonneg line 106
  13. theorem OAI.TotientAsymptotic.mass_mono line 115
  14. theorem OAI.TotientAsymptotic.weighted_mass_bounds line 126