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.