That sounds like a lucid dream to me...I've had several double dreams like you describe, where I wake up in the dream, but I'm not really waking up it's all part of the dream....I guess this was part of what triggered you to reolize you were dreaming....Sometimes I'll wake up in a strange place and say hey this is'nt my bed I must be dreaming...I think it's definately a lucid dream, just because you knew it was a dream