If any such cause of action is settled by the parties thereto after judgment has been procured without notice to the attorney claiming the lien, the lien may be enforced and it shall only be required to prove the facts of the agreement by which the lien was given, notice to the opposite party or his or her attorney and the rendition of the judgment, and if any such settlement of the cause of action is had or effected before judgment therein, then it shall only be necessary to enforce the lien to prove the agreement creating the same, notice to the opposite party or his or her attorney and the amount for which the case was settled, which shall be the basis for the lien and it shall not be necessary to prove up the original cause of action in order to enforce the lien and suit.