∀ {S : Type u_3} [inst : AddCommGroupWithOne S] (C : Type u_2) [inst_1 : CategoryTheory.Category.{u_1, u_2} C]
  [inst_2 : CategoryTheory.Limits.HasZeroMorphisms C] [inst_3 : CategoryTheory.HasShift C S]
  (X : CategoryTheory.DifferentialObject S C),
  CategoryTheory.CategoryStruct.comp ((CategoryTheory.DifferentialObject.shiftFunctor C 0).obj X).d
      ((CategoryTheory.shiftFunctor C 1).map ((CategoryTheory.shiftFunctorZero C S).app X.obj).hom) =
    CategoryTheory.CategoryStruct.comp ((CategoryTheory.shiftFunctorZero C S).app X.obj).hom
      ((CategoryTheory.Functor.id (CategoryTheory.DifferentialObject S C)).obj X).d