Theorems · Theorem · approximation theory
ExpGrowth.expGrowthSup_le_of_eventually_le
∀ {u v : ℕ → ENNReal} {b : ENNReal},
b ≠ ⊤ → (∀ᶠ (n : ℕ) in Filter.atTop, u n ≤ b * v n) → ExpGrowth.expGrowthSup u ≤ ExpGrowth.expGrowthSup v- Defined in
- Mathlib.Analysis.Asymptotics.ExpGrowth
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 180 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites19
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
- Bot.botproof · cited by 4,720
- LE.le.transproof · cited by 3,151
- Filter.Eventuallystatement and proof · cited by 3,134
- Filter.atTopstatement and proof · cited by 2,405
- zero_addproof · cited by 2,366
- MulZeroClass.zero_mulproof · cited by 1,625
- LT.lt.ne'proof · cited by 1,417
- ERealstatement and proof · cited by 793
- LE.le.trans_eqproof · cited by 328
- eq_zero_or_posproof · cited by 54
Cited by1
Results whose statement or proof uses this declaration.
- ExpGrowth.expGrowthSup_addproof · cited by 2