Sometimes, “premonition dreams” are coincidences. We have a lot of different dreams, and we experience a lot in daily life, so sometimes a dream we remember corresponds to some experience in the days that follows.
And yet, sometimes, dreams do seem like actual premonition dreams.
For instance, years ago I lived in Madison, Wisconsin, with a dear friend who happened to be a cat. One morning, I had a very vivid dream of him dying. Most dreams, including stressful dreams, are clearly just regular dreams. It’s the mind processing something. But occasionally, a dream feels different. This one was different. It had the distinct feel of a premonition dream. So my wife (at the time) and I decided to keep him indoors to keep him safe. We did so for a week. And on the first day we let him out again he was hit by a car and died.
It was obviously sad, but he did have a full and rich life and knew he was loved. And it did show me that some dreams may be actual premonition dreams.