Theorems · Theorem · sequences and series
Stirling.stirlingSeq_has_pos_limit_a
∃ a, 0 < a ∧ Filter.Tendsto Stirling.stirlingSeq Filter.atTop (nhds a)
The limit a of the sequence stirlingSeq satisfies 0 < a
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 215 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
- Set.ofPredproof · cited by 6,101
- nhdsstatement · cited by 5,554
- Set.rangeproof · cited by 4,705
- Filter.Tendstostatement · cited by 3,814
- Filter.atTopstatement · cited by 2,405
- InfSet.sInfproof · cited by 935
- lt_of_lt_of_leproof · cited by 438
- lowerBoundsproof · cited by 212
- Set.range_nonemptyproof · cited by 84
- le_csInfproof · cited by 36
- Filter.tendsto_add_atTop_iff_natproof · cited by 23
Cited by1
Results whose statement or proof uses this declaration.
- Stirling.tendsto_stirlingSeq_sqrt_piproof · cited by 2