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"failed to prove" is correct and usable in written English.
You can use it when you want to indicate that a person (or group of people) was unsuccessful in their attempt to demonstrate something to be true. For example, "The defendant failed to prove his innocence in court."
Exact(59)
"This was a study that failed to prove C225 works.
Reeves ruled the suit failed to prove an "imminent threat".
They failed to prove that poison had been administered; they even failed to prove that the couple had met on the day L'Angelier ingested arsenic.
The prosecution failed to prove that the money was used for private purposes.
A lifetime of scholarship failed to prove the first idea but established the second beyond doubt.
He said that Mr. Perry has failed to prove himself in the early debates.
But whatever the inquiry proved or failed to prove, its core question was one of identity.
Is Goldbach's conjecture true? (Euler failed to prove it; so has everyone since).
Rolls-Royce's American rivals have tried and failed to prove that it receives British subsidies.
The judge determined that the plaintiffs had failed to prove a common set of circumstances existed.
Representatives of the lending industry said the study failed to prove racism.
More suggestions(21)
failed to prove how
failed to vindicate
failed to acknowledge
failed to unfurl
failed to disprove
failed to assert
failed to ascertain
failed to transpire
error to prove
failed to experiment
failed to test
fail to prove
failed to evidence
failed to discover
failure to prove
unable to prove
did not prove
failed to demonstrate
failed to establish
failed to substantiate
failed to distinguish
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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