∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Limits.HasColimits C]
  {X Y Z : AlgebraicGeometry.PresheafedSpace C} (α : X ⟶ Y) (β : Y ⟶ Z) (x : ↑↑X),
  AlgebraicGeometry.PresheafedSpace.Hom.stalkMap (CategoryTheory.CategoryStruct.comp α β) x =
    CategoryTheory.CategoryStruct.comp
      (AlgebraicGeometry.PresheafedSpace.Hom.stalkMap β ((CategoryTheory.ConcreteCategory.hom α.base) x))
      (AlgebraicGeometry.PresheafedSpace.Hom.stalkMap α x)