∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Limits.HasZeroMorphisms C]
  {S₁ S₂ : CategoryTheory.ShortComplex C} [inst_2 : S₁.HasHomology] [inst_3 : S₂.HasHomology] (φ : S₁ ⟶ S₂),
  CategoryTheory.CategoryStruct.comp S₁.homologyπ
      (CategoryTheory.CategoryStruct.comp (CategoryTheory.ShortComplex.homologyMap φ) S₂.homologyι) =
    CategoryTheory.CategoryStruct.comp S₁.iCycles (CategoryTheory.CategoryStruct.comp φ.τ₂ S₂.pOpcycles)