Theorems · Theorem · approximation theory

Asymptotics.IsBigOWith.add

∀ {α : Type u_1} {F : Type u_4} {E' : Type u_6} [inst : Norm F] [inst_1 : SeminormedAddCommGroup E'] {c₁ c₂ : ℝ}
  {g : α → F} {l : Filter α} {f₁ f₂ : α → E'},
  Asymptotics.IsBigOWith c₁ l f₁ g →
    Asymptotics.IsBigOWith c₂ l f₂ g → Asymptotics.IsBigOWith (c₁ + c₂) l (fun x => f₁ x + f₂ x) g

Defined in

Mathlib.Analysis.Asymptotics.Defs

Cited by

6 results in Mathlib

Foundations

Depth 104 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormSeminormedAddCommGroup