as a matter of fact
US /æz ə ˈmæt.ər əv fækt/
UK /æz ə ˈmæt.ər əv fækt/

1.
사실은, 실제로
in reality; in fact (used to emphasize the truth of a statement, often one that is contrary to what might be expected)
:
•
I thought he was angry, but as a matter of fact, he was quite pleased.
그가 화났다고 생각했지만, 사실은 꽤 기뻐했다.
•
Are you going to the party? As a matter of fact, I am.
파티에 갈 거야? 사실은 갈 거야.