There is no proof of God. That is what faith means and is; believing without proof. Once you have faith, you can see proof of God's works in everything--without faith, you cannot see his works in anything. Errrr... Your statement is a logical fallacy known as "affirming the consequent". I hope you realize that replacing "God" with "purple elves", "Satan", or any one of an infinite number of things has the same amount of truth to it in your above statement as a consequence of improper logical construction.
It is not a logical fallacy, as the context of the statement makes clear. To spell it out, if you believe, without proof, then you can see "proof" (I should have put quotes) anywhere. If you don't believe, then you will never have "proof" (which of course you cannot have.
I was assuming that the quotes around the second "proof" were not necessary, being readily understood by the context.