You don't know he's lying, you just assume it because he didn't cite a source. It's not the first time I've heard people make his claim, so it might not be baseless.
Did you see my 2nd sentence which implied I was lying? Which almost means making a baseless claim?
You assumed that I assume he was lying only because he didn't cite source. That assumption is not correct.
Now I can tell you that I originally had 3rd sentence:
the 2nd sentence is a lie. I do have solid evidence that he was lying (unintentionally I believe) but it's too difficult to present the evidence.