Have you mathematically proved the existence of God?
Of course not. I've only referenced a mathematical proof that an infinite series, all of whose elements are finite, will converge to a finite limit. it is some creationists who erroneously contend that if there is an infinite regression of creators or creation events, than they must have started an infinitely long time ago so that there must be something that has existed for an infinitely long time, which something they call god and then insist it is the god of the bible (or whatever detailed nonsense they believe in).
"...can be taken to be..." in no way implies that doing so is logically valid.
Or were you being sarcastic. I have a problem with sarcasm, particularly when it is sharper or more subtle than my own.