"definitely established" is a correct phrase.
You can use it when something has been firmly established or confirmed. For example: "The truth of the matter was definitely established by the court."
They definitely established themselves out there.
It has been definitely established now that Eikhe's case was fabricated.
"One thing we've definitely established in our business," Mr. Imperatore said, "is that frequency sells".
No physiological functions seem to have been definitely established for the flavonoids in animals and plants.
With this demonstration of the interference of light, Young definitely established the wave nature of light.
The cost of these proofs has not been definitely established as yet.
Although the idea of this recommendation was clear and reflects clinical experience, duration and efficacy have not been definitely established.
Both the district court and Court of Appeal concluded that the speed of the automobile had not been definitely established.
Though John III's methods led the pope to revoke the grant, the Inquisition was definitely established in Portugal in 1547, at which time its scope was also widened.
"We haven't definitely established that the skills of hockey as a sport lead to a certain percentage of participants developing C.T.E.
His round trip in the Washington in 1816 from Pittsburgh to New Orleans and back to Louisville definitely established the Mississippi steamboat type.
