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The phrase "assumed the existence" is correct and usable in written English.
It can be used when discussing a belief or hypothesis regarding something that is taken for granted or accepted as true without proof.
Example: "In his theory, he assumed the existence of parallel universes to explain the anomalies observed in quantum mechanics."
Alternatives: "presumed the existence" or "took for granted the existence".
Exact(31)
They normally compare the incremental cost-effectiveness ratio (ICER) of a new drug that is still under patent to a comparator drug, which may either be a generic or a patented drug at the time of the drug reimbursement submission (for the purpose of this paper, we assumed the existence of a single comparator despite the fact that multiple comparators may exist).
Later writers assumed the existence of a number of Erotes (like the several versions of the Roman Amor).
The court therefore properly assumed the existence of the fact, and directed the jury to consider it, in determining the weight which should be given to defendant's testimony.
Von Neumann and Morgenstern had assumed the existence of a "zero-sum" game such as checkers, in which one party's loss was the adversary's gain.
To do this, Saccheri adopted the procedure of reductio ad absurdum; he assumed the existence of more than one parallel and attempted to derive a contradiction.
Von Neumann and Morgenstern had assumed the existence of a "zero-sum" game such as draughts, in which one party's loss was the adversary's gain.
Similar(28)
Indeed, existing works assume the existence of redundant paths and nodes [55].
Our transformation assumes the existence of a perfect failure detector.
Crick and Koch (1990) assume the existence of essential nodes in sensory cortex.
Psychographic segmentation ignores this complexity by assuming the existence of one hat that fits all occasions.
Assuming the existence of an eighth planet in the solar system solved that problem nicely.
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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