The phrase "a certain proof of" is correct and usable in written English.
It can be used when indicating a specific type of evidence or demonstration of something.
Example: "The results of the experiment provided a certain proof of the theory's validity."
Alternatives: "a definitive indication of" or "a clear demonstration of".
I can hardly imagine to myself a more distinguishing mark, and, consequently, a more certain proof of design, than preparation, i.e. the providing of things beforehand, which are not to be used until a considerable time afterwards; for this implies a contemplation of the future, which belongs only to intelligence.
While the Supreme Court declared in 1983 that such an acquittal was certain proof of dangerousness, that was largely wrong as well.
The Indian government raised the country's security to a "war level" yesterday saying it had certain proof of a Pakistani link to the Mumbai attacks.
Our goal in this section is to explain the machinery behind certain proofs of Theorems 15.1 and 15.2.
They conceive that it would represent the devil's most cunning attempt at self-camouflage to be demythologized and that camouflage would be a certain new proof of his existence.
In the summary of its decision, published within the three-month legal limit, the court said there was "certain proof … of prostitution at Arcore on the evenings when Karima El-Mahroug was present", referring to parties held at Berlusconi's luxury villa near Milan.
The idea of the proof follows to a certain extend the proof of Theorem 5.1 in [2].
SMT (Satisfiablility Module Theory) solver is one of the methods for a certain type of proof.
The differences between the original approaches have been discussed too: while GTS relates to the study of truth in a model, dialogical logic explores the possibilities of a certain type of proof-theoretical approach to validity.
