Theorems · Theorem · approximation theory
Monotone.le_expGrowthSup_comp
∀ {u : ℕ → ENNReal} {v : ℕ → ℕ},
Monotone u →
(LinearGrowth.linearGrowthInf fun n => ↑(v n)) ≠ 0 →
(LinearGrowth.linearGrowthInf fun n => ↑(v n)) * ExpGrowth.expGrowthSup u ≤ ExpGrowth.expGrowthSup (u ∘ v)- Defined in
- Mathlib.Analysis.Asymptotics.ExpGrowth
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 176 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites8
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
- Monotonestatement and proof · cited by 1,397
- ERealstatement · cited by 793
- Monotone.compproof · cited by 67
- ExpGrowth.expGrowthSupstatement · cited by 42
- LinearGrowth.linearGrowthInfstatement and proof · cited by 41
- ENNReal.log_monotoneproof · cited by 14
- Monotone.le_linearGrowthSup_compproof · cited by 2
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