∀ (C : Type u) [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Limits.HasColimits C] {X Y : TopCat}
  (f : X ⟶ Y) (F : TopCat.Presheaf C Y) (x : ↑X),
  TopCat.Presheaf.stalkPullbackHom C f F x =
    CategoryTheory.CategoryStruct.comp
      ((TopCat.Presheaf.stalkFunctor C ((CategoryTheory.ConcreteCategory.hom f) x)).map
        ((TopCat.Presheaf.pushforwardPullbackAdjunction C f).unit.app F))
      (TopCat.Presheaf.stalkPushforward C f ((TopCat.Presheaf.pullback C f).obj F) x)