If you were conscious in the dream, then it was a lucid dream. And the layer thing you stated sounds like a false awakening. If you were lucid in one dream and then woke up in, lets say your room, and you found out you were still dreaming, then it was a false awakening. There is no "layers" in lucid dreams like there was in inception. They're all still the same dream. Like I said, if you wake up again in your room and you think you woke up, but really its another dream, then its a false awakening.