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"is contrary to that" is a correct and usable phrase in written English.
It can be used to show that one thing or idea is opposed to or goes against another thing or idea. It is often used to express disagreement or contradiction. Here is an example: "His behavior is contrary to that of a responsible adult. He is always late, never takes responsibility, and constantly makes excuses."
Exact(46)
People tend to appreciate their knowledge highly even in cases where prior experience is contrary to that.
Leaving a few hundred thousand immigrants in limbo is contrary to that goal".
The collecting efficiency increases with the comprehensive coefficient and this pattern is contrary to that of water based system.
As noted in the text of this opinion, Western Auto's variation of the prevailing view is contrary to that view considered in its entirety.
In Feres we talked of private liability and came to a conclusion which is contrary to that reached by the Court today.
A restriction such as we find in § 5 of Article V of the International's constitution is contrary to that policy, as it is applied here.
Similar(14)
It's contrary to that.
The hotel would not, Mr. Wolf added, "condone activities that are contrary to that goal or which are obviously illegal".
"The philosophy was to reduce the rolls and our activities were contrary to that policy," she said.
But a baseball official said he doubted that Selig wanted to open another window, and Lucchino's statement was contrary to that notion.
Andrews and Dorsey Baskin Dorsey Baskin, an Andersen managing director, also said they did not know whether Duncan acted in a way that was contrary to that policy.
More suggestions(13)
is in contrast to that
is contradictory to that
is inconsistent with that
were inconsistent with that
is incompatible with that
be inconsistent with that
is opposed to that
are inconsistent with that
runs contrary to that
is counter to that
is opposite to that
exactly contrary to that
is contrary to the proposed
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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