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The phrase "is by definition" is correct and usable in written English.
You can use it when you want to refer to a definition of a word or phrase. For example: A cheetah is by definition the fastest land animal.
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Exact(59)
Constitutional government is, by definition, limited government.
It is, by definition, the opposite.
All memoir is, by definition, self-involved.
But fanaticism is, by definition, irrational.
Politics is, by definition, a public activity.
And Ayurvedic cooking is by definition healthy.
News is by definition bad.
Everything by them is by definition perfect.
But then, Christianity is by definition marginalised.
"This is by definition middle-class people.
Corruption is, by definition, difficult to measure.
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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