∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Limits.HasColimits C]
  {X Y : AlgebraicGeometry.PresheafedSpace C} (α : X ⟶ Y) (U : TopologicalSpace.Opens ↑↑Y) (x : ↑↑X)
  (hx : (CategoryTheory.ConcreteCategory.hom α.base) x ∈ U) {F : C → C → Type uF} {carrier : C → Type w}
  {instFunLike : (X Y : C) → FunLike (F X Y) (carrier X) (carrier Y)} [inst_2 : CategoryTheory.ConcreteCategory C F]
  (x_1 : carrier (Y.presheaf.obj (Opposite.op U))),
  (CategoryTheory.ConcreteCategory.hom (AlgebraicGeometry.PresheafedSpace.Hom.stalkMap α x))
      ((CategoryTheory.ConcreteCategory.hom (Y.presheaf.germ U ((CategoryTheory.ConcreteCategory.hom α.base) x) hx))
        x_1) =
    (CategoryTheory.ConcreteCategory.hom (X.presheaf.germ ((TopologicalSpace.Opens.map α.base).obj U) x hx))
      ((CategoryTheory.ConcreteCategory.hom (α.c.app (Opposite.op U))) x_1)