If the definite article (al) is removed from one of the names of Allah, does it remain one of the names of Allah?

Question:
May Allah reward you, Honorable Shaykh. This questioner asks: If the definite article is removed from the names of Allah, do they cease to be names of Allah? For example, if I say "Al-Aziz" (The Mighty), is it one of the names of Allah, and so on?

Answer:
(Exalted and Majestic is He) says: It is Al-Aziz Al-Hakim. It is Al-‘Alim. There is no harm. Sometimes it comes with the article, which is the lam, and sometimes it comes without it. Yes, it is Al-‘Ali Al-Hakim, and He is Al-‘Ali Al-Azim. Sometimes it comes in this form and sometimes in that form. There is no harm. Yes.