∀ {C : Type u_2} [inst : CategoryTheory.Category.{u_1, u_2} C] [inst_1 : CategoryTheory.Abelian C] {X Y Z : C}
  (f : X ⟶ Y) (g : Y ⟶ Z),
  CategoryTheory.CategoryStruct.comp f
      { X₁ := Y, X₂ := Y ⊞ Z, X₃ := Z, f := CategoryTheory.Limits.biprod.inl, g := CategoryTheory.Limits.biprod.snd,
          zero := ⋯ }.f =
    CategoryTheory.CategoryStruct.comp
      { X₁ := X, X₂ := X ⊞ Y, X₃ := Y, f := CategoryTheory.Limits.biprod.inl, g := CategoryTheory.Limits.biprod.snd,
          zero := ⋯ }.f
      (CategoryTheory.kernelCokernelCompSequence.φ f g)