∀ (C : Type u_2) [inst : CategoryTheory.Category.{u_1, u_2} C] [inst_1 : CategoryTheory.Limits.HasZeroMorphisms C]
  {ι : Type u_3} (c : ComplexShape ι) (i : ι) [inst_2 : CategoryTheory.CategoryWithHomology C]
  {X Y Z : HomologicalComplex C c} (f : X ⟶ Y) (g : Y ⟶ Z),
  HomologicalComplex.opcyclesMap (CategoryTheory.CategoryStruct.comp f g) i =
    CategoryTheory.CategoryStruct.comp (HomologicalComplex.opcyclesMap f i) (HomologicalComplex.opcyclesMap g i)