A false awakening is a vivid and convincing dream about awakening from sleep, while the dreamer in reality continues to sleep.
After a false awakening, subjects often dream they are performing daily morning routine such as showering, cooking, cleaning, eating, and using the bathroom.
False awakenings, mainly those in which one dreams that they have awoken from a sleep that featured dreams, take on aspects of a double dream or a dream within a dream.
Lucidity
A false awakening may occur following a dream or following a lucid dream (one in which the dreamer has been aware of dreaming). Particularly, if the false awakening follows a lucid dream, the false awakening may turn into a "pre-lucid dream", that is, one in which the dreamer may start to wonder if they are really awake and may or may not come to the correct conclusion.
Source
After a false awakening, subjects often dream they are performing daily morning routine such as showering, cooking, cleaning, eating, and using the bathroom.
False awakenings, mainly those in which one dreams that they have awoken from a sleep that featured dreams, take on aspects of a double dream or a dream within a dream.
Lucidity
A false awakening may occur following a dream or following a lucid dream (one in which the dreamer has been aware of dreaming). Particularly, if the false awakening follows a lucid dream, the false awakening may turn into a "pre-lucid dream", that is, one in which the dreamer may start to wonder if they are really awake and may or may not come to the correct conclusion.
Source