Theorems · Theorem · approximation theory
Monotone.expGrowthSup_comp
∀ {u : ℕ → ENNReal} {v : ℕ → ℕ} {a : EReal},
Monotone u →
Filter.Tendsto (fun n => ↑(v n) / ↑n) Filter.atTop (nhds a) →
a ≠ 0 → a ≠ ⊤ → ExpGrowth.expGrowthSup (u ∘ v) = a * ExpGrowth.expGrowthSup u- Defined in
- Mathlib.Analysis.Asymptotics.ExpGrowth
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 176 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.
- ENNRealstatement and proof · cited by 9,879
- Top.topstatement and proof · cited by 9,680
- nhdsstatement and proof · cited by 5,554
- Filter.Tendstostatement and proof · cited by 3,814
- Filter.atTopstatement and proof · cited by 2,405
- Monotonestatement and proof · cited by 1,397
- ERealstatement and proof · cited by 793
- Monotone.compproof · cited by 67
- ExpGrowth.expGrowthSupstatement · cited by 42
- ENNReal.log_monotoneproof · cited by 14
- Monotone.linearGrowthSup_compproof · cited by 2
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