Theorems · Theorem · approximation theory
Monotone.linearGrowthInf_comp
∀ {u : ℕ → EReal} {v : ℕ → ℕ} {a : EReal},
Monotone u →
Filter.Tendsto (fun n => ↑(v n) / ↑n) Filter.atTop (nhds a) →
a ≠ 0 → a ≠ ⊤ → LinearGrowth.linearGrowthInf (u ∘ v) = a * LinearGrowth.linearGrowthInf u- Cited by
- 2 results in Mathlib
- Foundations
- Depth 171 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites35
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Top.topstatement and proof · cited by 9,680
- nhdsstatement and proof · cited by 5,554
- Bot.botproof · cited by 4,720
- Filter.Tendstostatement and proof · cited by 3,814
- LE.le.transproof · cited by 3,151
- Filter.Eventuallyproof · cited by 3,134
- Filter.atTopstatement and proof · cited by 2,405
- LT.lt.leproof · cited by 2,189
- MulZeroClass.mul_zeroproof · cited by 2,091
- le_antisymmproof · cited by 2,068
- Monotonestatement and proof · cited by 1,397
- LT.lt.neproof · cited by 872
Cited by2
Results whose statement or proof uses this declaration.
- Monotone.linearGrowthInf_comp_mulproof · cited by 1
- Monotone.expGrowthInf_compproof · cited by 0