So, from that definition… what’s the problem? You’ve not given a reason there can’t be this “emergence”.
Also, it might help you to understand that God has no parts. I know it’s hard for us to understand, but God is not “The Father + The Son + the Holy Spirit == God.” God is , and all three are the entirety of God. He cannot be greater than the sum of His parts, because there are no parts which comprise the sum, the sum just is.
Either way, you’ve not actually given a reason for your assertion, you’ve simply asserted it, and from what it seems like you’re saying, your assertion is simply wrong.