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Discover LudwigThe phrase "on the contrary" is correct and usable in written English
You can use it when you want to contrast an idea. For example: "I thought the movie was great, but on the contrary, my friend thought it was terrible."
Exact(60)
The crowd loved it and were shouting, "Get the kid back on!" Contrary to popular belief, Dax is not named after a Star Trek character.
On contrary, assume that at least one of {x n } or {y n } is not a Cauchy sequence.
On contrary I quote what women say," he said.
As he noted with typical understatement in his entry on "contrary, converse, opposite," the three words "are sometimes confused, & occasionally precision is important".
The Supreme Court decided the issue by a narrow, 5-to-4 vote based on contrary readings of what authority had been granted to the F.D.A. by Congress.
Suppose on contrary that.
Let on contrary that Au ≠ u.
To prove Bu = u, assume on contrary that Bu ≠ u.
We prove r = 0. Suppose on contrary that r > 0.
On contrary, individual spherelike particles are observed from Figure 4b.
On contrary, all other films prepared with lower reactive gases partial pressures are amorphous.
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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