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"no official definition" is correct and usable in written English.
You can use it when something is not clearly defined or when there is a lack of clarity. Example: There is no official definition of success, but most people agree that it means achieving your goals.
Exact(43)
No official definition exists.
Kantrowitz: Surprisingly, there's no official definition of middle income or middle class.
Until now, no official definition of a sanctuary jurisdiction has existed.
So far, there is no official definition of what a "coasting" school is.
There had been no official definition of what a "main address" constituted, leaving members to decide which property to nominate.
There's no official definition for the term, but it basically means untreated sherry straight from the cask.
Similar(16)
There is no single official definition of the area covered by Montpelier and Clifton Hill, but most authorities (including Brighton and Hove City Council) define it as the area west of West Hill and east of the ancient parish boundary between Brighton and Hove.
No applicable official definition of CAM exists in Denmark.
Perhaps surprisingly, there is no clear official definition for what constitutes an island nation.
In this regard, the first thing that is important to mention is that there is no widely accepted, or official, definition of indigenous peoples.
There is no official heatwave definition for Brisbane, and no universally accepted definition is available [ 18].
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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