Proving God Existence

[Esquilax]

You don't understand the concept of mapping, these are Axioms
I can define any term I want then use it in my proof

Turnabout is fair play. If you think you can define things however you want, then so can we. This gets us nowhere; how about you just go with what things actually mean and build from there, rather than insisting that everyone agree with you before they begin arguing?

you are allowed only to debate conclusions or logical reasoning inside the proof

If the proof has no logical basis or valid conclusions- say, they were made on the basis of terms that have been redefined inaccurately- then there is no need to offer anything in rebuttal.

for example you cannot say, G doesn't exist so you cannot use it in the formula!

No, you can't. That would be patently ridiculous. As would deciding that G should actually be pronounced like L, and demanding that everyone use this new pronunciation. Do you see?