Theorems · Theorem · sequences and series
Stirling.log_stirlingSeq_bounded_by_constant
∀ (n : ℕ), 1 - 12⁻¹ - Real.log 2 / 2 ≤ Real.log (Stirling.stirlingSeq (n + 1))
The sequence log_stirlingSeq is bounded below for n ≥ 1.
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 213 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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
- Real.logstatement and proof · cited by 939
- ne_of_gtproof · cited by 637
- Real.sqrtproof · cited by 545
- Real.exp_posproof · cited by 169
- Real.log_expproof · cited by 33
- Stirling.stirlingSeqstatement and proof · cited by 22
- Real.log_divproof · cited by 21
- Real.log_sqrtproof · cited by 5
- Stirling.stirlingSeq_oneproof · cited by 2
- Stirling.log_stirlingSeq_bounded_auxproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Stirling.stirlingSeq'_bounded_by_pos_constantproof · cited by 1