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The phrase 'a decisive proof of' is correct and usable in written English
You can use it to describe something that is evidence of something else. For example: "The archaeological evidence was a decisive proof of the inhabitants' ancient civilization."
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Emanuel's support represents a decisive proof-of-concept for Gates's strategy to rebuild the South Side.
Given the fact that neither observation nor any other means of knowing (including revelation) gives a decisive proof for the existence or non-existence of a connection between a cause and its effect, we must suspend our judgment on this matter.
It follows, then, that even a decisive proof that there is an all-good, all-powerful God cannot assure us that we are ultimately safe.
Although PK-resistance is widely accepted as a standard operational rule for prion identification, the decisive proof of infectivity is the biological assay, based on the appearance of TSE-recapitulating neurologic syndromes in animals inoculated with alleged prion-tainted materials.
As representatives of the Catholic Church, they must find decisive proof of paranormal activity before taking action, and Wan (one of four credited screenwriters) has diabolical fun poring over the evidence, assembling the Warrens' case and then dismantling it all over again.
Until now, Mr. Azéma said, historians had no decisive proof that "the marshal," cherished by the French at the time, had participated in the writing of the law.
The most decisive proof lay in an early study of Cornard Wood.
(Though of course this is hardly decisive proof).
Decisive proof came, he tells me, when he approached the town's ruling Liberal Democrats on behalf of Frome's branch of the Transition Towns movement, which seeks to respond to climate change on a local level.
His case is among several in recent years to call into question some of the scientific principles that once guided fire investigations — including the idea that multiple and independent points of a fire's origin were proof of arson, a decisive element of Mr. Taylor's prosecution.
The only real proof of a decisive turn in the drug war would be if the Sinaloa gang's Mr Guzmán, who has evaded capture for so long that many people suspect he enjoys official protection, is also apprehened.
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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