∀ {C : Type u_1} {X₁ Y₁ Z₁ X₂ Y₂ Z₂ : CategoryTheory.FreeMonoidalCategory C} (f₁ : X₁ ⟶ Y₁) (f₂ : X₂ ⟶ Y₂)
  (g₁ : Y₁ ⟶ Z₁) (g₂ : Y₂ ⟶ Z₂),
  CategoryTheory.CategoryStruct.comp (Quotient.map₂ CategoryTheory.FreeMonoidalCategory.Hom.tensor ⋯ f₁ f₂)
      (Quotient.map₂ CategoryTheory.FreeMonoidalCategory.Hom.tensor ⋯ g₁ g₂) =
    Quotient.map₂ CategoryTheory.FreeMonoidalCategory.Hom.tensor ⋯ (CategoryTheory.CategoryStruct.comp f₁ g₁)
      (CategoryTheory.CategoryStruct.comp f₂ g₂)