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Discover LudwigThe phrase "is proved" is correct and it can be used in written English
You can use the phrase when you want to express that the validity of something has been confirmed through evidence or demonstration. For example, "It is proved that the defendant was guilty of the crime."
Dictionary
Exact(60)
Thus G is proved.
The statement is proved.
Identity (16) is proved.
Then (c) is proved.
Then (i) is proved.
Inequality (12) is proved.
Then (2.6) is proved.
Hence, (ii) is proved.
Conclusion (3.31) is proved.
This theorem is proved.
Part (i) is proved.
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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