∀ {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'},
  f₁ =o[l] g → Asymptotics.IsBigOWith c₁ l f₂ g → c₁ < c₂ → Asymptotics.IsBigOWith c₂ l (fun x => f₁ x + f₂ x) g