"genuine proof" is correct and usable in written English.
You can use it to describe tangible evidence that supports a statement or claim. For example, "I provided genuine proof of my identity to the authorities."
That would be the most genuine proof of a Chinese desire to lower the temperature.
"I put myself in other people's shoes and knew we needed genuine proof that he could write independently".
By the time genuine proof emerges that Mr Myers has put Waste Management back on its feet, he may well be gone.
PM Dave has had a go, notably in 2006, but it's important, for without genuine proof of contrition there is no credibility.
52 For the extraordinary care which he takes gives the impression of confidence and carries such weight when he speaks that it does not permit us to feel the least doubt and has all the force of genuine proof.
But games shouldn't be replayed unless there is some genuine proof of corruption by the ref. If the end result was that the decision was right, two wrongs have made a right in the end.
For this reason it has been widely thought that, beyond some very simple cases, arguments in real and complex analysis in which diagrams have a non-superfluous role are not genuine proofs.
Are proofs of program correctness genuine mathematical proofs, i.e., are such proofs on a par with standard mathematical ones?
5. Consider what might seem to be among the best candidates for indefeasible evidence: a genuine mathematical proof for the conclusion that p that one correctly recognizes as such.
However, NI sources said it often paid for help during its many investigations and the invoices – if genuine – were no proof of illegality.
The proof seemed genuine, but word was that Perelman had no plans to publish it.
