Many Short Lucid Dreams (and Some Wilds?)

Hi.
I woke at 6 AM and went back to sleep(without intention to LD). After some time I started to have some short dreams when I realized that they are dream I woke up very quick.
In some of theese I even realised(remembered) the entering into the dream: First, I had a "random train of thought" into my mind (like happens when you fall assleep) where, after a time, started to become something like a daydream which became more and more vivid, until I "was" in other place. After this, I woke up :( .

Are theese WILDs? Or what are they?

Thanks for the answer.
Paul
(edit) Some minor corrections.