∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Limits.HasZeroMorphisms C]
  [inst_2 : CategoryTheory.Limits.HasZeroObject C] {ι : Type u_1} [inst_3 : DecidableEq ι] (c : ComplexShape ι) (j : ι)
  {A B : C} (f : A ⟶ B),
  CategoryTheory.CategoryStruct.comp (HomologicalComplex.opcyclesMap ((HomologicalComplex.single C c j).map f) j)
      (HomologicalComplex.singleObjOpcyclesSelfIso c j B).inv =
    CategoryTheory.CategoryStruct.comp (HomologicalComplex.singleObjOpcyclesSelfIso c j A).inv f