AlgebraicGeometry.SheafedSpace.IsSheaf

theorem AlgebraicGeometry.SheafedSpace.IsSheaf : ∀ {C : Type u_1} [inst : CategoryTheory.Category.{u_2, u_1} C] (self : AlgebraicGeometry.SheafedSpace C), self.presheaf.IsSheaf

This theorem states that for any given sheafed space over a category 'C', the associated presheaf of that sheafed space is indeed a sheaf. In other words, a sheafed space in algebraic geometry is inherently equipped with a sheaf property for its presheaf.

More concisely: For any sheafed space over a category, the associated presheaf is a sheaf.