To my recollection there is no difference between being lucid, and dreaming you are lucid. I believe the latter doesn't actually exist.
Because to become lucid, requires a large amount of unconscious awareness, and even if you dreamed you became lucid.
You still came to the conclusion yourself.

And that was within the dream, in your own mind.
So yes, this was a lucid dream, I congratulate you, and may many more come.