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The phrase "sufficient condition of" is grammatically correct and can be used in written English.
It is often used to describe a condition or factor that is necessary for a certain outcome to occur. Example: "A healthy diet and regular exercise are the sufficient conditions of maintaining good physical health." This means that having a healthy diet and exercising regularly are necessary factors for maintaining good physical health.
Exact(60)
It is a necessary – but by absolutely no means sufficient – condition of adventurous programming.
The account offers, at best, a sufficient condition of relevance.
A sufficient condition of flutter instability is also presented.
Assumption 2 is then a sufficient condition of Lyapunov's condition.
We observe that (2.10). is a sufficient condition of.
Consequently, the condition (1.25) is another sufficient condition of (1.17).
This is the sufficient condition of floor water inrush.
This is the sufficient condition of floor water inrush. .
Predicability, then, is not a sufficient condition of categoricity, but non-predicability is a sufficient disqualification.
"Phonics is a necessity but not a sufficient condition of being a reader.
And that hype is a necessary, but not sufficient, condition of success: Success will lead to hype — blog coverage, awards, etc., but hype won't necessarily lead to success.
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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