∀ {C : Type u_1} {ι : Type u_2} [inst : CategoryTheory.Category.{v_1, u_1} C] [inst_1 : CategoryTheory.Abelian C]
  {c : ComplexShape ι} {S₁ S₂ : CategoryTheory.ShortComplex (HomologicalComplex C c)} (φ : S₁ ⟶ S₂)
  (hS₁ : S₁.ShortExact) (hS₂ : S₂.ShortExact) (i j : ι) (hij : c.Rel i j),
  HomologicalComplex.HomologySequence.mapComposableArrows₅ φ hS₁ hS₂ i j hij =
    CategoryTheory.ComposableArrows.homMk₅ (HomologicalComplex.homologyMap φ.τ₁ i)
      (HomologicalComplex.homologyMap φ.τ₂ i) (HomologicalComplex.homologyMap φ.τ₃ i)
      (HomologicalComplex.homologyMap φ.τ₁ j) (HomologicalComplex.homologyMap φ.τ₂ j)
      (HomologicalComplex.homologyMap φ.τ₃ j) ⋯ ⋯ ⋯ ⋯ ⋯