∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] [inst_1 : CategoryTheory.Limits.HasZeroMorphisms C]
  {ι : Type u_2} {c : ComplexShape ι} {K L M : HomologicalComplex C c} (φ : K ⟶ L) (ψ : L ⟶ M) (i : ι)
  [inst_2 : K.HasHomology i] [inst_3 : L.HasHomology i] [inst_4 : M.HasHomology i] {Z : C} (h : M.cycles i ⟶ Z),
  CategoryTheory.CategoryStruct.comp (HomologicalComplex.cyclesMap φ i)
      (CategoryTheory.CategoryStruct.comp (HomologicalComplex.cyclesMap ψ i) h) =
    CategoryTheory.CategoryStruct.comp (HomologicalComplex.cyclesMap (CategoryTheory.CategoryStruct.comp φ ψ) i) h