Theorems · Theorem · sequences and series
Stirling.tendsto_stirlingSeq_sqrt_pi
- #90 of the 100 theorems: Stirling’s Formula
- 1000+ list: Stirling's theorem
Filter.Tendsto Stirling.stirlingSeq Filter.atTop (nhds √Real.pi)
Stirling's Formula
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 278 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
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
- nhdsstatement and proof · cited by 5,554
- Filter.Tendstostatement and proof · cited by 3,814
- Filter.atTopstatement and proof · cited by 2,405
- LT.lt.leproof · cited by 2,189
- Real.pistatement and proof · cited by 1,774
- LT.lt.ne'proof · cited by 1,417
- Real.sqrtstatement and proof · cited by 545
- tendsto_nhds_uniqueproof · cited by 118
- two_ne_zero'proof · cited by 38
- Real.sqrt_sqproof · cited by 36
- Stirling.stirlingSeqstatement and proof · cited by 22
Cited by2
Results whose statement or proof uses this declaration.
- Stirling.sqrt_pi_le_stirlingSeqproof · cited by 1
- Stirling.factorial_isEquivalent_stirlingproof · cited by 0