Theorems · Theorem · real analysis

Asymptotics.IsTheta.div

∀ {α : Type u_1} {𝕜 : Type u_14} {𝕜' : Type u_15} [inst : NormedField 𝕜] [inst_1 : NormedField 𝕜'] {l : Filter α}
  {f₁ f₂ : α → 𝕜} {g₁ g₂ : α → 𝕜'}, f₁ =Θ[l] g₁ → f₂ =Θ[l] g₂ → (fun x => f₁ x / f₂ x) =Θ[l] fun x => g₁ x / g₂ x

Defined in

Mathlib.Analysis.Asymptotics.Theta

Cited by

2 results in Mathlib

Foundations

Depth 123 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormedFieldNormedField