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The phrase "assertion is wrong" is correct and usable in written English.
You can use it when you want to indicate that a statement or claim made by someone is incorrect or false.
Example: "After reviewing the evidence, I must conclude that your assertion is wrong."
Alternatives: "claim is incorrect" or "statement is false."
Exact(4)
This assertion is wrong in so many ways.
See ante, at 7-8, n. 4. I explain below why that assertion is wrong.
This does not prove Atkins' assertion is wrong outright, but outlines the fact that individuals react differently.
That's why Rendell's assertion is wrong.
Similar(56)
Indeed, he showed that Fermat's assertion was wrong by splitting the number 225 + 1 into the product of 641 and 6,700,417.
In an interview last week with Guardian Australia, Fraser insisted the government's assertion was wrong and explained that it was derived by comparing a 44% cut with the unrealistic scenario of what economic growth would look like neither Australia nor any other country did anything to address climate change at all.
Both these assertions are wrong.
Mr. Kumar, for his part, proved at times to be a combative witness, telling Mr. Dowd that his assertions were "wrong" and "absolutely incorrect".
That case was cinched this weekend by the author's admission that the premise of the article – and many incidental factual assertions – was wrong.
Both of these simple assertions are wrong.
Standing in our backyard, it's obvious to anyone's ears that both assertions were wrong when as many as 35 jets per hour streak overhead.
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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