to the contrary
to the contrary {adv.} or {adj. phr.}
With an opposite result or effect; just the opposite; in disagreement; saying the opposite.
Although Bill was going to the movies, he told Joe to the contrary.
We will expect you for dinner unless we get word to the contrary.
School gossip to the contrary, Mary is not engaged to be married.
Compare: ON THE CONTRARY.
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Source: A Dictionary of American Idioms