Theorems · Theorem · real analysis

Asymptotics.IsTheta.pow

∀ {α : Type u_1} {𝕜 : Type u_14} {𝕜' : Type u_15} [inst : NormedField 𝕜] [inst_1 : NormedField 𝕜'] {l : Filter α}
  {f : α → 𝕜} {g : α → 𝕜'}, f =Θ[l] g → ∀ (n : ℕ), (fun x => f x ^ n) =Θ[l] fun x => g x ^ n

Defined in

Mathlib.Analysis.Asymptotics.Theta

Cited by

1 results in Mathlib

Foundations

Depth 121 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormedFieldNormedField