What you mean with again? If something is prooven means it is right. It is as easy. All premises of a theory are proofen to be true -> conclusion is logically true.

One of the premises can not be proven to be true -> no proof of truth, so it could also not be true

One of the premis is proven to be wrong -> conclusion is wrong

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god existence cannot be proven so god is fake then??

Neighter the existance nor the inexistance can be proofen. If there is something above all natural rules is completely up to our faith.