∀ {ι : Type u_1} (V : Type u_2) [inst : CategoryTheory.Category.{u_3, u_2} V] (c : ComplexShape ι)
  [inst_1 : CategoryTheory.Limits.HasZeroMorphisms V] [inst_2 : CategoryTheory.CategoryWithHomology V] (i : ι)
  {X Y : (HomologicalComplex V c)ᵒᵖ} (x : X ⟶ Y),
  CategoryTheory.CategoryStruct.comp
      (HomologicalComplex.homologyMap ((HomologicalComplex.opFunctor V c).map (Opposite.unop x).op) i)
      ((Opposite.unop Y).homologyOp i).hom =
    CategoryTheory.CategoryStruct.comp ((Opposite.unop X).homologyOp i).hom
      (HomologicalComplex.homologyMap (Opposite.unop x) i).op