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The phrase "a key corollary" is correct and usable in written English.
It can be used when discussing an important consequence or result that logically follows from a principle or theory.
Example: "In the study of economics, a key corollary of supply and demand is that prices will adjust to reach equilibrium."
Alternatives: "an important consequence" or "a significant implication".
Exact(2)
A key corollary is that Bushes will appoint the right kind of people.
A key corollary of the OC is that orthologous genes are more functionally similar to each other that any of them is to its paralogs at the same level of sequence divergence, in the same or other species.
Similar(58)
As a corollary from all the data, we conclude that the plasma membrane physicochemical properties undoubtedly play a key role in the mechanism of action of ACT, and very likely, other RTX toxins.
When he finds a key in his father's wardrobe marked with the name Black, Oskar finds the quest he needs, a bleak corollary to the treasure hunts that Thomas used to set.
It felt like a natural corollary of the rave ethos, where even as a humble punter you weren't just a fan, but a key participant.
But a darker corollary soon arose.
Poulet, J. F. A. & Hedwig, B. A corollary discharge maintains auditory sensitivity during sound production.
A theorem, perhaps, a lemma or even just a corollary.
But football was also a corollary of such a life.
Yet with that comes a troubling corollary.
There's a secondary corollary to that, right?
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com