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The phrase "against the proof" is correct and usable in written English.
It can be used in contexts where you are discussing evidence or arguments that contradict or challenge the proof presented.
Example: "The defendant's alibi was presented against the proof provided by the prosecution, raising doubts about his guilt."
Alternatives: "contrary to the evidence" or "in opposition to the proof".
Exact(1)
Those who composed that body seemed to have shut their eyes against the proof for fear that it would compel them to respect the popular will as expressed at the polls.
Similar(59)
For some philosophers of religion, the crucial arguments are the ones articulated in the Transcendental Dialectic of the Critique of Pure Reason against the proofs for the existence of God.
He examines the methods for proceeding against them, the proof required, and the penalties to be inflicted.
"We will see what the proof against them is," he said.
The Uruguayan FA president, Wilmar Valdez, told local media the proof against Suárez is not "convincing".
The proof against him "is substantial," Artie McConnell, an assistant district attorney, said during a bail hearing after the defendant was indicted.
"Given the defendant's age, the length of the likely sentence, the strength of the proof against the defendant, including his confessions, these facts present a clear risk of flight".
However great the proof against him otherwise may be, under our system no man should be punished pursuant to a judgment induced wholly or in part by a coerced confession.
"It's going to be the first time the manufacturers are going to have to face the full array of the proof against them," said David Kairys, a professor at Temple University Law School in Philadelphia who is an adviser to many municipalities in other gun cases around the country.
The proof against him, depends upon his own confession, slightly corroborated by the testimony of two witnesses.
Two-thirds of the senators must agree on the proof against Porteous for him to be impeached, removed from office and stripped of his pension.
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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