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The phrase "asserts that upon" is correct and usable in written English.
It can be used when introducing a statement or claim that is contingent on a specific condition or event.
Example: "The researcher asserts that upon further investigation, the results will be validated."
Alternatives: "claims that when" or "states that upon".
Exact(1)
In traditional approaches to quantum measurement theory a central role is played by the projection postulate, which asserts that upon measurement of a physical system its state will be projected ("collapses") onto a state corresponding to the value found in the measurement.
Similar(59)
The author asserts that "naught upon Earth is wrought in thy despite, O God" and that in Zeus all things are harmonized.
The same review asserts that, based upon at least one trial, antipsychotic medications effectively resolve the symptoms of acute amphetamine psychosis.
The First Law asserts that bodies not acted upon by an external force will move with constant velocity; similarly for the Second Law and acceleration.
So when Gill asserts that "M.
The fact asserts that implies.
Note that (3.29) asserts that is -periodic.
We assert that is bounded.
Now, we assert that is bounded.
We assert that is strictly contractive on.
where We assert that belongs to.
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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