Theorems · Theorem · approximation theory
ExpGrowth.le_expGrowthInf_comp
∀ {u : ℕ → ENNReal} {v : ℕ → ℕ},
1 ≤ᶠ[Filter.atTop] u →
Filter.Tendsto v Filter.atTop Filter.atTop →
(LinearGrowth.linearGrowthInf fun n => ↑(v n)) * ExpGrowth.expGrowthInf u ≤ ExpGrowth.expGrowthInf (u ∘ v)- Defined in
- Mathlib.Analysis.Asymptotics.ExpGrowth
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 177 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites13
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
- Filter.Tendstostatement and proof · cited by 3,814
- Filter.atTopstatement and proof · cited by 2,405
- ERealstatement and proof · cited by 793
- Filter.Eventually.monoproof · cited by 646
- Filter.EventuallyLEstatement and proof · cited by 383
- ENNReal.logproof · cited by 72
- Pi.zero_applyproof · cited by 70
- LinearGrowth.linearGrowthInfstatement · cited by 41
- ExpGrowth.expGrowthInfstatement · cited by 38
- Pi.one_applyproof · cited by 22
- LinearGrowth.le_linearGrowthInf_compproof · cited by 2
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