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The word "proofs" is correct and usable in written English.
You can use it to refer to evidence or arguments that support a statement, claim, or belief. For example: "I have several proofs that support my argument."
Dictionary
proofs
noun
Plural of proof
Exact(60)
When Genet died of throat cancer, the corrected proofs of his book were neatly stacked.
Quite the best-written and most incisive obiter dicta I have read since I went through the page proofs of my latest novel.
There can be no better bedside collection for anyone who is interested in the history of America and the world in the second half of the 20th century—or in a life lived bravely.Correction: The uncorrected proofs of this book had a mis-print that suggested Moynihan's mother called him Dan, whereas everyone else knew him as Pat.
But while he was speaking you might have seen written on every countenance on his own side of the House—"The old fool!" Those arguments which, in 1841, were in full lustihood and vigour which were simpered in pamphlets, roared from the hustings, re-echoed in meetings, and cheered by crowds, are now as dead and gone as the proofs that the sun rolled round the earth.
On Iraq's nuclear programme, they say, the government was to blame: under intense pressure to provide the case for a war that Mr Bush had already decided to fight, doubters were muffled and caveats were cut.Another defence is that intelligence, whether human or, far more commonly, electronic, rarely yields the smoking-gun proofs that policymakers may wish for.
The proofs were getting so long that progress was glacial.
They did so willingly, for though the proofs would zing back and forth until at last she declared herself satisfied, her suggestions were almost invariably improvements.
He presents a wide variety of mathematical results in a book that is a cross between popularisation and mathematical text, complete with propositions, theorems, proofs and marginal boxes with notation and definitions.
Government, universities and start-ups focus their investment on basic research, proofs of concepts and production at laboratory scale.
Mr Werning is an economist's economist; an elegant theorist, whose early contributions provided streamlined proofs that other thinkers could make use of.
The lure of explosive power is present too: mathematical proofs guarantee that quantum computers could crack problems beyond the reach of current computer technology, even at its hypothetical limits.
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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