<yawn>You are wrong, actually. And, the fact that you cut out the part of my comment proving that you were wrong seems to support this. "Proof" is often and correctly used to mean "evidence helping to establish a fact or the truth of a statement" ... or, as I stated before "supporting evidence" (see below):
proof
pro͞of/
noun
- Evidence or argument establishing or helping to establish a fact or the truth of a statement.
"you will be asked to give proof of your identity"
synonyms: evidence, verification, corroboration, authentication, confirmation, certification, documentation, validation, attestation, substantiation
wiki
</yawn>