in fact

adverb
  1. Used to emphasize the truth of an assertion, often contrasting with what might be expected or what has been previously mentioned. adverb
    He said he was feeling fine, but in fact, he was quite ill.
    Many people think the city is expensive, but in fact, it has many affordable options.
  2. Used to introduce a statement that clarifies or adds to a previous statement, often providing more precise or detailed information. adverb
    She is a talented musician; in fact, she can play five instruments.
    The book was fascinating; in fact, I couldn't put it down.