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"the necessary condition" is correct and usable in written English.
You can use the phrase to refer to the requirement or prerequisite that must be met in order for something else to happen. For example, "Attaining a college degree is a necessary condition for finding a good job."
Exact(59)
"Violence never begets peace, the necessary condition for development".
So is obsessionality a dangerous mental state, or the necessary condition for an admirable work ethic?
"For Arendt, hearing opposing opinions is the necessary condition for a politics of plurality".
It is the necessary condition of modernity that it oscillates between banquets and barbarism.
Hitherto some solution of the dynastic question has seemed to be the necessary condition for any political progress in Morocco.
The unity and cooperation of Britain, Russia and the United States were accepted as the necessary condition of peace.
The necessary condition is set for the Kurdish question to be solved; this opportunity should not be wasted".
The necessary condition is obvious.
Next, we prove the necessary condition.
The present case fulfilled the necessary condition.
Additionally, the necessary condition for eigenaxis rotation is provided.
More suggestions(17)
the necessary element
the required condition
the necessary footing
the necessary qualification
the essential condition
the necessary criterion
the requisite condition
the necessary prerequisite
the appropriate condition
the necessary requirement
the necessary fitness
the necessary terms
the necessary conditions
the necessary conditional
the necessary prerequisites
the enabling condition
the necessary requirements
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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