No, existence doesn't entail that. Existence may have been ETERNAL.The cosmological singularity isn't proven to have an origin, dude.
The concept of proof/evidence, in and of itself, another thing you don't understand, or, for that matter, whatever the ultimate origin of ANYTHING is, is not relevant, dummy. Existence entails origin. Period. End of thought. I will not entertain another obtuse post from you on this.
It is speculation - even scientifically - that the singularity was or was not eternal.
You're lazy as fuck with how lax you are in terms of a demand for solid answers. You play fast and loose, but anyone who is not agnostic is experiencing greater levels of being gullible than an agnostic so, you're not alone.