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The phrase 'is proven that' is a correct and usable part of a sentence in written English.
It is used to present a fact or to introduce something which has been established as true. Here is an example: It is proven that regular exercise can help reduce the risk of heart-related diseases.
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If the deception is proven, that would amount to market manipulation, a serious offence.
"What we have done is proven that we can restore apparently fully functioning ovaries in rats.
"Even if it is proven that the judge violated ethical codes, it won't affect the court's earlier decision.
If it is proven that they have failed to fulfil their responsibilities, they should be dismissed and stand trial".
Now, it is proven that ;.
It is proven that such a subsequence is finite.
By induction it is proven that (A.1) holds.
So it is proven that k is both known and unknown.
It is proven that this route has obvious advantages over STR.
It is proven that the former space is smaller than the latter.
It is proven that rank one H−2perturbations can be defined uniquely for the homogeneous operators.
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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