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The phrase "a demonstration for" is correct and usable in written English.
It can be used when referring to an event or activity intended to show or explain something to an audience.
Example: "The scientists organized a demonstration for the new technology they developed to improve energy efficiency."
Alternatives: "a presentation on" or "an exhibition of".
Exact(57)
"This is a demonstration for our freedom".
A man did a demonstration for us.
At the Mahamasina Square, a demonstration for Mr. Ravalomanana.
"He feels he has to be a conqueror, a leader, a demonstration for other men.
She hopes to persuade Bom Jesus to do a demonstration for her class.
It said the interception was not a weapons test or a demonstration for potential adversaries.
"Every Friday Prayer means a demonstration for us in Saqba," he said.
Then, on 18 March, Stand Up to Racism is staging a demonstration for the UN's anti-racism day.
The People's Assembly, a grassroots movement key to Jeremy Corbyn's recent victory, has called a demonstration for noon on Friday.
Ibrahim asks for 10,000 Rufiyah (£400) for 10 of his gang members to attend a demonstration for an hour.
They gave a demonstration for the benefit of TV, press people, and Raul Julia, star of the Broadway musical "Nine".
More suggestions(23)
a demonstration for our
a demonstration for other
a demonstration for democracy
a model for
a demonstrator for
a expression for
a showcase for
a evidence for
a sign for
a rally for
a test for
a procession for
a pilot for
a testament for
a protest for
a proof for
a showing for
a victory for
a boon for
a search for
a stripper for
a cry for
a recipe for
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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