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Discover Ludwig"proofs that" is correct and usable in written English.
You would use it when you are referring to tangible evidence that supports an argument that is being made. For example: "The laboratory tests provided several proofs that our hypothesis was correct."
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On transformations of interactive proofs that preserve the prover's complexity.
He goes on: "Mathematicians and sometimes physicists prefer proofs that are beautiful.
Some nominees later disgorged their plunder, some didn't, depending upon the proofs that I gathered.
He sought general existence proofs, rather than "constructive proofs" that actually produce the objects.
The progressive-minded owner, Paolo Scassini, was full of scientific proofs that showed his oil was the better product.
Finally, we furnish a formal account of default proofs that was up to now neglected in the literature.
Many commit the faux pas of scrawling hundreds of new words in illegible handwriting on typeset proofs that are ready to go to press (mea culpa).
The exhibition will display a wide variety of prints, the plates they were made from and the various stages of artists' proofs that resulted in the finished print.
But the nature of his mind is to arrive by intuition at theories, then work out the proofs that support them.
This enabled her to give proofs that applied to more general structures than the original ones, and which revealed unseen connections.
And yet, Erdos concentrated on areas, like number theory, that are often associated with prodigies, developing proofs that were known for their comparative simplicity.
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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