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The phrase "a persuasive proof of" is correct and usable in written English.
It can be used when discussing evidence or arguments that convincingly support a particular claim or assertion.
Example: "The study provided a persuasive proof of the effectiveness of the new treatment in reducing symptoms."
Alternatives: "a compelling demonstration of" or "a convincing argument for".
Exact(1)
These studies offer a persuasive proof of concept, but the absence of a control group or of patient-specific outcomes measures limits their implementation in other disease areas such as cancer.
Similar(59)
The high attainable current densities, rapid pulsing and multi-pixel potential, mediated by the ability to pattern at the sub-micron scale, will likely result in a number of persuasive proof-of-principle prototypes that will help disrupt the incumbent, yet technologically stagnated, thermionic source market.
But here is the most persuasive proof of all -- the near-infinite self-interest of most elected officials.
For example, placing a persuasive burden of proof on a defendant raising a defence – that he need persuade the jury that it is the case, was judged to be incompatible with Article 6(2) of the Convention, which related to the presumption of innocence, which had long been a part of English law in R v Lambert.
Where can you see the most persuasive proof that Pablo Picasso was the finest graphic artist of the 20th century?
By this bizarre remark he meant, one assumes, that the prime minister's dogged facing down of public opposition to our going to war alongside the Americans would be such a proof of his persuasive powers, and that the war itself would be so successful, that the government could look with confidence towards fighting and winning a referendum on the single currency.
It was a proof-of-concept issue.
He is a persuasive manager of men.
And he weaves a persuasive skein of passive-aggressive dialogue.
Europe needs a persuasive idea of its future that can rebuild democratic support.
Rather, it depends upon a persuasive account of justice as a personal virtue, and persuasive reasons why one is always happier being just than unjust.
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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