In point of fact
Definition 1 of 1
Pro Tip 1/3Contrasting Reality
Use it to contrast with a misconception or to correct false claims. 
He appears lazy, but in point of fact, he's one of our hardest workers.
Pro Tip 2/3Adding Emphasis
It adds emphasis to your statement, highlighting truth or accuracy. 
In point of fact, she won the competition without any prior experience.
Pro Tip 3/3Formal Contexts
It's more formal than 'actually', good for written reports or presentations. 
In point of fact, the results exceeded all our projections.