as a matter of fact
as a matter of fact {adv. phr.}
Actually; really; in addition to what has been said; in reference to what was said. — Often used as an interjection.
It's not true that I cannot swim; as a matter of fact, I used to work as a lifeguard in Hawaii.
Do you think this costs too much? As a matter of fact, I think it is rather cheap.
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Source: A Dictionary of American Idioms