in fact
US /ɪn fækt/
UK /ɪn fækt/

1.
used to emphasize the truth of a statement, especially one that is contrary to what might have been expected or previously stated
:
•
He said he was busy, but in fact, he was just watching TV.
•
I thought it would be difficult, but in fact, it was quite easy.
2.
used to add a detail or to correct a statement
:
•
It's a beautiful day. In fact, it's perfect for a picnic.
•
I don't dislike it. In fact, I quite like it.