Repeating dream content as a DS

Twice I have become lucid when I have 2 dreams in a row about the same thing.

In the first example, I had a dream I was on a train with my family. Then I had a second dream sequence in same REM period where I was on a train. I became lucid when I realized I just had a dream about a train.

The second time it happened I had 2 dreams in a row where I was watching a specific tv show. Again I realized that I had just had a dream about this show so I must be dreaming again.

What is also interesting is that I didn't wake up between the dreams and think I just had a dream. So while asleep. part of me recognized that I had a dream.

I am also surprised that I remembered the previous dream in the 2nd dream. Often in dreams I can't remember very much (where I live, what my job is, how old I am). Also in dreams objects often change without me remembering.

Maybe my repeated induction (I will remember to recognize that I am dreaming) is starting to take hold at a deeper level?