Is it permissible to describe Allah as "the Existent (الموجود)," even though it is not explicitly mentioned among His names and attributes, and for every existent there is an originator, and it is impossible for Allah to have an originator?

The existence of Allah is a self-evident truth in religion, and it is an attribute of Allah by the consensus of Muslims and rational people. Existence is of two types: self-existence (wujud dhati), which is the existence of Allah Almighty and His attributes, preceded by no non-existence and followed by no non-existence (He is the First and the Last, the Manifest and the Hidden, and He is, of all things, Knowing); and contingent existence (wujud hadith (definition)), which is that which came into being after non-existence, and this requires a creator, who is Allah (Allah is the Creator of all things). Allah is described as existent, and existence is not a name but an attribute.