Theorems · Theorem · approximation theory
Asymptotics.IsLittleO.of_tendsto_div_atTop
∀ {α : Type u_1} {𝕜 : Type u_17} [inst : NormedField 𝕜] [inst_1 : LinearOrder 𝕜] [IsStrictOrderedRing 𝕜]
[OrderTopology 𝕜] {l : Filter α} {f g : α → 𝕜}, Filter.Tendsto (fun x => g x / f x) l Filter.atTop → f =o[l] g- Defined in
- Mathlib.Analysis.Asymptotics.Lemmas
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 121 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.
- LinearOrderstatement and proof · cited by 8,572
- Filterstatement and proof · cited by 8,121
- nhdsproof · cited by 5,554
- Filter.Tendstostatement and proof · cited by 3,814
- IsStrictOrderedRingstatement and proof · cited by 2,490
- Filter.atTopstatement and proof · cited by 2,405
- OrderTopologystatement and proof · cited by 1,355
- NormedFieldstatement and proof · cited by 1,084
- Filter.Eventually.monoproof · cited by 646
- Filter.Tendsto.compproof · cited by 560
- Asymptotics.IsLittleOstatement · cited by 375
- zero_divproof · cited by 222
Cited by1
Results whose statement or proof uses this declaration.
- Asymptotics.IsLittleO.of_tendsto_div_atBotproof · cited by 0