∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] {E : Type u_2} [inst_1 : NormedAddCommGroup E]
  [inst_2 : NormedSpace 𝕜 E] {x : 𝕜} {f₁ f₂ : 𝕜 → E},
  MeromorphicAt f₂ x →
    meromorphicOrderAt f₁ x < meromorphicOrderAt f₂ x →
      meromorphicTrailingCoeffAt (f₁ + f₂) x = meromorphicTrailingCoeffAt f₁ x