The phrase "already coined" is correct and usable in written English.
It can be used to refer to a term or phrase that has been created or established prior to the current discussion or context.
Example: "The term 'sustainability' has already coined a significant meaning in environmental discussions."
Alternatives: "previously established" or "already created".
But on Wall Street bankers have already coined a term for it: "the Texaco scenario".
Industry experts and academic researchers have already coined the need for regulation, monitoring and trust establishment in the Cloud computing environments, as outlined exemplarily in the following.
To this point, aides say, he has already coined several phrases that have become staples of the current health care debate lexicon.
With only four episodes into the second season of Empire, Becky has already coined the phrase "Will he won't" in response to Miss Lawrence's "Won't he will" on the season premiere.
But we also find the entrancing surreal music video SKY.PLANE.GIRL (above) taking us on a pleasant journey from sea to land to air, in a strip of sequences with a soundtrack provided by the Chilltune act Robot Science (chilltune being a chiptune and chillwave crossover I want to coin for posterity, since someone already coined Chipwave to my despair).
This is the fifth PD locus to be mapped to chromosome 1p, which including DJ1, ATP13A2, PINK1, and PARK10, was already coined as a PD hot spot.
In South Florida, fans and commentators are already coining nicknames for the new trio, including Miami Thrice.
The term shareware had already been coined by Jay Lucas, writing in the personal computer newspaper InfoWorld to describe the software that was being distributed free or for a nominal copying charge.
The word 'enthymeme' (from 'enthumeisthai to consider') had already been coined by Aristotle's predecessors and originally designated clever sayings, bon mots, and short arguments involving a paradox or contradiction.
However, by then, Shield nickels dated 1883 had already been coined.
Shield nickels dated 1883 had already been coined by the time the Barber design was ready, and Mint officials desired to discourage speculation.
