Theorems · Theorem · approximation theory
ExpGrowth.expGrowthSup_comp_nonneg
∀ {u : ℕ → ENNReal} {v : ℕ → ℕ},
Monotone u → u ≠ 0 → Filter.Tendsto v Filter.atTop Filter.atTop → 0 ≤ ExpGrowth.expGrowthSup (u ∘ v)- Defined in
- Mathlib.Analysis.Asymptotics.ExpGrowth
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 180 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites9
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
- LE.le.transproof · cited by 3,151
- Filter.atTopstatement and proof · cited by 2,405
- Monotonestatement and proof · cited by 1,397
- ERealstatement · cited by 793
- ExpGrowth.expGrowthSupstatement · cited by 42
- ExpGrowth.expGrowthInf_le_expGrowthSupproof · cited by 6
- ExpGrowth.expGrowthInf_comp_nonnegproof · cited by 1
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