Let denote the Axiom of Constructability. We already know that

and is the Constructible Model of Set Theory.

Now we prove that there is a Model of in which .

Let be a Transitive Model of . Let be a Finite Function Forcing. Let be a -Generic Filter over . By Model Extension by Finite Function Forcing, we find . Also . Suppose

i.e.

Apply this to and conclude

But the Constructible Hierarchy is Absolute, so . But is Transitive so which is a contradiction.