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The phrase "assertion made on" is correct and usable in written English.
It can be used when referring to a claim or statement that is based on a particular source or evidence.
Example: "The assertion made on the findings of the study highlights the importance of early intervention."
Alternatives: "claim based on" or "statement derived from".
Exact(6)
In it the company countered the government's assertion, made on Tuesday, that the case must be heard quickly because of its importance.
Appearing before the House of Commons, the home secretary, Alan Johnson, retracted an assertion made on Monday by a spokesman for Prime Minister Gordon Brown that implied that Britain had passed intelligence information about Mr. Abdulmutallab to the United States that might have helped avert the attack.
I have loaned out my copy a dozen times and while it may have taken some effort to get people started on the book, once they read it no one was disappointed". Lott denied that he was the author of the review, an assertion made on various Web sites that have been tracking the controversy.
Moreover, the move contradicted an assertion made on Thursday by a senior Treasury official, Richard Newcomb, who told the Senate Governmental Affairs Committee in a hearing on Saudi sponsorship of terrorism that the list was not classified and that his agency would turn it over to the Senate within 24 hours.
Now that I've ruined your day by putting the thought of that horrifying, hypothetical spelunking excursion in your head, let me hit you with a totally unsurprising and predictable bit of information: Fox is making headlines this week for a wildly inaccurate assertion made on its air.
"Some of the ads (and public relations pitches) I think (amount to) overmarketing," First said, conceding that the assertion made on his behalf that the operation can "cure" nearsightedness--technically called myopia-- is not a truthful statemyopia-- is
Similar(54)
They just listen to assertions made on blogs and rightwing talkshows.
Or, does your information come from an abstract that someone published somewhere, or from assertions made on an online family tree?
The report contradicts assertions made on Thursday by Syria's president, Bashar al-Assad, that the systems were on their way.
The most clearly favorable comments came from the two Germanys, whose leaders repeated assertions made on Sunday that the Bush-Gorbachev summit conference had improved conditions for the unification of their countries despite continued Soviet misgivings about a united Germany's joining NATO.
Responding to the assertions made on the program, Tom Pickard, deputy director of the F.B.I., said: "After an exhaustive review, it remains clear that the documents that were not uploaded in the databases given to the defense contained no information that was material to the convictions or sentences.
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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