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"assumption proved" is correct and usable in written English.
You can use this phrase when you have successfully demonstrated that something you assumed to be true is in fact true. For example, "After running the experiment, my assumption proved correct - the results were exactly what I predicted."
Exact(11)
Once again, this assumption proved correct, and a second class of antihypertensive drugs, the AT1 receptor antagonists, was developed.
This assumption proved tricky for two reasons: 1) There is no clear and obvious guideline for what "counts" as a political promise.
This assumption proved terribly wrong, however, when, on the opening day of the talks, law enforcement officials lost control of the crowds gathered outside the meeting venue.
Like the Vatican (a similar institution in many respects), the SEC believes itself generally infallible and expects the Supreme Court to protect it (which assumption proved very wrong in the recent Kokesh decision on disgorgement).
That assumption proved false on 29 December, when security forces arrested them in their rooms at the Marriott – leading to Egyptian newspapers smearing the trio as 'the Marriott terrorist cell'.
Aristotle tried to ensure the realistic character of this perceptual commerce with the world through the assumption that the form in the soul is necessarily identical with the form of the corresponding object in the world, but the warrant for this assumption proved very elusive in the further development of the philosophy of mind.
Similar(49)
Should that assumption prove wrong, all state agencies and schools could face still deeper cuts.
If that assumption proves wrong, the budget surpluses will shrink drastically, even if the economy keeps growing.
But he added: "If this assumption proves wrong over the coming week, our parliamentary group will have to react".
This assumption proves crucial to their results that transmission of private information is an equilibrium in this case.
These assumptions proved wildly incorrect.
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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