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The phrase "assuming such" is correct and usable in written English.
It can be used when you want to indicate that you are considering a particular condition or situation as true for the sake of argument or discussion.
Example: "Assuming such, we can proceed with the next steps in the project."
Alternatives: "if that is the case" or "given that assumption".
Exact(60)
But he cautioned against assuming such accuracy, saying, "All data are guilty until proven innocent".
You would be forgiven for assuming such a fate had befallen James Blunt.
Assuming such returns seemed reasonable in the bull market of the late 1990's.
He said he feared assuming such a role might upset the gay community, "because the gay community is very fickle.
Assuming such studies are objective and thorough, they can provide patients and doctors with information that has long been unavailable.
Assuming such helpfulness, Mark Cliffe, an economist at ING, a Dutch bank, reckons that the effect would be less.
Assuming such knowledge is possible, how can it be deployed by a doctor to ease our pain and bolster the felicity of our engagement with the outside world?
Nor would it be a good idea to get Bill working on another Nasdaq bubble, even assuming such a thing is possible.
"Thus, in order to take advantage of it, a defendant would need the resources of a wealthy media organisation (assuming such things still exist).
But, assuming such dreams are not realized, a return to a hollow pursuit of containment will be the most dangerous option of all.
The response to Japan's North Korea initiative shows that much of the world will welcome Tokyo assuming such a leadership role.
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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