Other sources point out that no hard proof of such decision exists.

Proof now exists that you make the world a lot safer place.

It is believed unlikely that a short, simple proof exists.

"Proof exists for them that such a search would be useless."

There are two cases where the legal proof of the award exists even though the recipients do not.

Which, of course, is another way of saying no proof exists at all.

Proof exists for a council as far back as 1453.

Proof that at least one person in the cabinet thinks it exists, anyway.

However, it seems no proof of real service exists.

No proof exists that this was the case, however.