The state of being aware that one is dreaming(noun)
The state of being in a lucid dream(noun)
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Use "lucidity" in a sentence
"A rare moment of lucidity from a bunch of shrill, menopausal white women."
"In writings of fiction, whether novels or biographies, these death-beds are generally depicted as almost seraphic in lucidity of intelligence."
"Meanwhile, the presidential candidate in Egypt, and former Secretary-General of the League of Arab States, Amr Moussa pointed to the importance of the "Al-Azhar document" that was recently issued, and which was characterized by lucidity, moderation, tolerance and modernity, and considered it to be a frame of reference."