∀ {C : Type u} {A : Type u_1} [inst : CategoryTheory.Category.{v, u} C] {D : Type u_2}
  [inst_1 : CategoryTheory.Category.{v_1, u_2} D] [inst_2 : AddMonoid A] [inst_3 : CategoryTheory.HasShift D A]
  {F : CategoryTheory.Functor C D} (hF : F.FullyFaithful) (s : A → CategoryTheory.Functor C C)
  (i : (i : A) → (s i).comp F ≅ F.comp (CategoryTheory.shiftFunctor D i)) (X : C),
  F.map ((CategoryTheory.Functor.FullyFaithful.hasShift.zero hF s i).inv.app X) =
    CategoryTheory.CategoryStruct.comp ((CategoryTheory.shiftFunctorZero D A).inv.app (F.obj X)) ((i 0).inv.app X)