The phrase "definitively establishing" is correct and usable in written English.
It means to firmly establish something and can be used when describing a process or outcome that is absolute and clear. For example: "The study results were used to definitively establish the link between exposure to the virus and the development of symptoms."
(The Supreme Court prevented the country from definitively establishing the result of the 2000 election).
There's no way of definitively establishing this but there's surely no nicer man in football than Collingwood's Macedonian Marvel, Peter Daicos.
But instead of definitively establishing how New York City's public schools stack up, the grades have set off an impassioned debate about just how schools should be judged.
The entire process will be recorded, showing the provenance of every byte and definitively establishing IP claims.
Compounding the problem of definitively establishing the song's authorship are Emmett's own confused accounts of its writing, and his tardiness in registering the song's copyright.
But there is so much more to Mandela's life story, and this revealing bio-film fleshes out those details while definitively establishing the psyche of a man who is best described as an earthly saint.
Only recently, with more advanced laboratory techniques, has this role been definitively established and expanded upon.
Now, because the new relationships of injustice have been definitively established.
They noted that state regulators, in their reports, were unable to definitively establish the source of the 2006 contamination.
It is an observational study, not a randomized trial, so cause and effect cannot be definitively established.
But he added: "The link between the symptoms and eating of the sprouts so far has not been definitively established".
