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Discover Ludwig"converse of" is correct and can be used in written English.
You can use it when comparing two opposite things. For example: "The converse of a positive attitude is a negative attitude."
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The converse of fun is boredom, misery or sadness.
The converse of the Detroit Three, some would say!
This is the converse of the previous possibility.
That can make the locals uncomfortable – the converse of comfort.
The converse of reductive elimination is oxidative addition.
"For traditional Muslims," Mr. Lewis writes, "the converse of tyranny was not liberty but justice.
"That's the perverse converse of how other people experience being onstage".
The converse of new words coming in, is the fading away of others.
At some level it's the comic converse of the tragic "Office".
Hence possession is the converse of denotation.
And the converse of that was true.
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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