So last night I was in the middle of a non-lucid dream. It had a plot and characters and everything. I went to sleep in that dream, and actually had a lucid dream. When the lucid dream ended about 10 minutes later, I woke up back into the original non-lucid dream which I accepted as reality. I later woke up from that dream and realized what had happened.

I know its not actually inception but like wat.

Does the lucid I had count as a full lucid dream, or was I dreaming about having a lucid dream?

^confusing I know xD

All responses are appreicated!