∀ {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),
  CategoryTheory.CategoryStruct.comp (hS₁.δ i j hij) (HomologicalComplex.homologyMap φ.τ₁ j) =
    CategoryTheory.CategoryStruct.comp (HomologicalComplex.homologyMap φ.τ₃ i) (hS₂.δ i j hij)