  In introductions to the subject for a general audience of mathematicians or
logicians, the univalence axiom is typically explained by handwaving. This
gives rise to several misconceptions, which cannot be properly addressed in the
absence of a precise definition. In this short set of notes we give a complete
formulation of the univalence axiom from scratch. The underlying idea of these
notes is that they should be as concise as possible (and not more). They are
not meant to be an Encyclopedia of Univalence.
