∀ {C : Type u_2} [inst : CategoryTheory.Category.{u_1, u_2} C] [inst_1 : CategoryTheory.Abelian C] (a : ℤ) (X : C)
  (i j : ℤ),
  (ComplexShape.up ℤ).Rel i j →
    CategoryTheory.CategoryStruct.comp (CategoryTheory.eqToIso ⋯).hom
        (((HomologicalComplex.single C (ComplexShape.up ℤ) a).obj X).d i j) =
      CategoryTheory.CategoryStruct.comp
        ((((HomologicalComplex.single C (ComplexShape.up ℤ) a).comp
                  (CategoryTheory.shiftFunctor (CochainComplex C ℤ) 0)).obj
              X).d
          i j)
        (CategoryTheory.eqToIso ⋯).hom