Steiner-Lehmus Theorem/Converse

Converse to Steiner-Lehmus Theorem
Let $ABC$ be an isosceles triangle with $BA = BC$.

Let $D$ be the point of intersection of the angle bisectors through the vertices $A$ with the side $BC$.

Likewise, let $E$ be the point of intersection of the angle bisectors through the vertices $C$ with the side $BA$.

Then:
 * $AD = CE$

Proof
We have: