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