Theorems · Theorem · sequences and series
Stirling.log_stirlingSeq_bounded_aux
∀ (n : ℕ), Real.log (Stirling.stirlingSeq 1) - Real.log (Stirling.stirlingSeq (n + 1)) ≤ 12⁻¹
For any n, we have log_stirlingSeq 1 - log_stirlingSeq n ≤ 12⁻¹.
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 212 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites28
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
- Finset.sumproof · cited by 5,195
- mul_oneproof · cited by 3,885
- one_mulproof · cited by 2,841
- Nat.cast_oneproof · cited by 2,501
- zero_addproof · cited by 2,366
- le_reflproof · cited by 2,061
- LT.lt.ne'proof · cited by 1,417
- Finset.rangeproof · cited by 1,341
- Real.logstatement and proof · cited by 939
- ne_of_gtproof · cited by 637
- div_oneproof · cited by 629
Cited by1
Results whose statement or proof uses this declaration.
- Stirling.log_stirlingSeq_bounded_by_constantproof · cited by 1