OAI/NumberTheory/Catalan/Polynomial/RationalProductFormula.lean

GitHub source file

11 declarations, 0 contain sorry, 0 declared as axioms

  1. def OAI.InternalCatalan.rationalPrimeSupport line 12
  2. theorem OAI.InternalCatalan.prime_of_mem_rationalPrimeSupport line 15
  3. theorem OAI.InternalCatalan.valuation_zero_outside_rationalPrimeSupport line 21
  4. theorem OAI.InternalCatalan.log_nat_eq_sum_factorization_on line 37
  5. theorem OAI.InternalCatalan.positive_rational_cast_eq_natAbs_num_div_den line 46
  6. theorem OAI.InternalCatalan.log_positive_rational_eq_sum_valuations line 56
  7. theorem OAI.InternalCatalan.log_positive_rational_eq_sum_valuations_on line 76
  8. theorem OAI.InternalCatalan.rationalPrimeSupport_neg line 86
  9. theorem OAI.InternalCatalan.log_abs_rational_eq_sum_valuations line 90
  10. theorem OAI.InternalCatalan.log_abs_rational_eq_sum_valuations_on line 103
  11. theorem OAI.InternalCatalan.log_abs_determinantRat_eq_sum_valuations line 113