Theorems · Theorem · sequences and series
Stirling.log_stirlingSeq_formula
∀ (n : ℕ),
Real.log (Stirling.stirlingSeq n) =
Real.log ↑n.factorial - 1 / 2 * Real.log (2 * ↑n) - ↑n * Real.log (↑n / Real.exp 1)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 201 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites30
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- Nat.cast_oneproof · cited by 2,501
- MulZeroClass.mul_zeroproof · cited by 2,091
- sub_selfproof · cited by 996
- Real.logstatement and proof · cited by 939
- Real.expstatement and proof · cited by 871
- ne_of_gtproof · cited by 637
- one_divproof · cited by 624
- Nat.factorialstatement and proof · cited by 616
- zero_leproof · cited by 382
- mul_posproof · cited by 374
- CharP.cast_eq_zeroproof · cited by 357
Cited by1
Results whose statement or proof uses this declaration.
- Stirling.log_stirlingSeq_sdiff_hasSumproof · cited by 4