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The phrase "had not proved" is correct and usable in written English.
It can be used to indicate that something has not been demonstrated or established as true or effective in the past.
Example: "Despite numerous attempts, the theory had not proved to be valid."
Alternatives: "had not demonstrated" or "had not shown".
Exact(60)
In interviews afterward, jurors said the government had not proved that any laws were broken.
The magistrate declared that the state had not proved its case.
In the past they had not proved to be competitive, because of costs and operating characteristics.
But that had not proved to be the case as concerns spread across the financial system.
However, she emphasized that the agency had not proved that the coronavirus is the culprit.
Amgen said the drug had not proved better than a placebo.
It was not as if they had not proved themselves over the course of the competition.
The defence had not proved the exceptional circumstances necessary for the granting of bail, Nel said.
found the European Union had not proved a health risk to consumers from hormone-treated beef.
He wrote that the patents were valid, but that the company had not proved that Apple had infringed them.
They lost, on the ground that they had not proved that the vaccine caused their daughter's injuries.
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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