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The phrase "a compelling proof of" is correct and usable in written English.
It can be used when discussing evidence or arguments that strongly support a particular claim or theory.
Example: "The study provided a compelling proof of the effectiveness of the new treatment in reducing symptoms."
Alternatives: "a convincing demonstration of" or "a strong indication of".
Exact(2)
Even though many biological patterns resemble Turing patterns in appearance, this alone does not constitute a compelling proof of such mechanisms actually operating in living systems.
This study provides a compelling proof of principle for the replacement of glycerol formation as the predominant redox sink in anaerobic yeast metabolism by PRK- and Rubisco-mediated incorporation of CO2 into yeast central carbon metabolism.
Similar(58)
In the clinic, these IGF1R antibodies have produced compelling proof-of-principle data that implicate an important role for IGF signaling in numerous tumor types including, but not limited to, NSCLC and Ewing's Sarcoma [ 35].
Danyel Smith from Entertainment Weekly gave Rainbow a B+, and concluded "what began on Butterfly as a departure ends up on Rainbow a progression – perhaps the first compelling proof of Carey's true colors as an artist".
Under the new rules, a Qatari employer would have to show "compelling" proof of any objection to a worker leaving the country.
The most compelling proof of a correlation appeared during the period of time known as the dot-com bubble.
Lawyers told the Guardian that changes to sexual offence laws in Germany made a three-decade-old case extremely difficult to prosecute, especially without compelling proof of violence.
The combined discoveries of Nicolle and Müller are compelling proof of the melioristic notion that the world becomes a better place through sustained human effort.
But while they don't do much in the way of demonstrating the system's full potential, they do offer compelling proof of concept, like the simple octopus demo, in which a lonely cephalopod floats in a blue sea, its eyes tracking your every movement.
The sacking was compelling proof of Smith's weakness.
The trouble is, no past war has ever supplied compelling proof of that claim.
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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