Theorems · Theorem · real analysis

Asymptotics.IsTheta.listProd

∀ {α : Type u_1} {𝕜 : Type u_14} {𝕜' : Type u_15} [inst : NormedField 𝕜] [inst_1 : NormedField 𝕜'] {l : Filter α}
  {ι : Type u_16} {L : List ι} {f : ι → α → 𝕜} {g : ι → α → 𝕜'},
  (∀ i ∈ L, f i =Θ[l] g i) →
    (fun x => (List.map (fun x_1 => f x_1 x) L).prod) =Θ[l] fun x => (List.map (fun x_1 => g x_1 x) L).prod

Defined in

Mathlib.Analysis.Asymptotics.Theta

Cited by

0 results in Mathlib

Foundations

Depth 118 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormedFieldNormedField