Hello! It certainly sounds like it to me yeah. Lucid Dreaming technically is realising that you are dreaming, what you do from that point is up to you! The part where the vividness of the dream increased was nice, everything in your dream can and is controlled by your mind, if you convince yourself that you can improve the quality by saying it then it will happen. Same with any other aspect or action within a Lucid Dream. Congratulations on your first Lucid Dream!