Theorems · Theorem · real analysis
Asymptotics.IsBigO.rpow
∀ {α : Type u_1} {r : ℝ} {l : Filter α} {f g : α → ℝ},
0 ≤ r → 0 ≤ᶠ[l] g → f =O[l] g → (fun x => f x ^ r) =O[l] fun x => g x ^ r- Cited by
- 3 results in Mathlib
- Foundations
- Depth 202 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- Filterstatement and proof · cited by 8,121
- Asymptotics.IsBigOstatement and proof · cited by 506
- Filter.EventuallyLEstatement and proof · cited by 383
- Asymptotics.IsBigOWithproof · cited by 187
- Asymptotics.IsBigOWith.isBigOproof · cited by 40
- Asymptotics.IsBigO.exists_nonnegproof · cited by 10
- Asymptotics.IsBigOWith.rpowproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- ContDiffPointwiseHolderAt.comp_of_differentiableAtproof · cited by 3
- Asymptotics.IsBigO.sqrtproof · cited by 1
- Asymptotics.IsTheta.rpowproof · cited by 0