∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] {U : Set 𝕜} {E : Type u_2} [inst_1 : NormedAddCommGroup E]
  [inst_2 : NormedSpace 𝕜 E] {f₁ f₂ : 𝕜 → E},
  MeromorphicOn f₁ U → AnalyticOnNhd 𝕜 f₂ U → (MeromorphicOn.divisor (f₁ + f₂) U)⁻ = (MeromorphicOn.divisor f₁ U)⁻