univalence axiom (Rev #4)

The **univalence axiom** for a universe $U$ states that for all $A,B:U$, the map

$(A=_U B) \to (A\simeq B)$

defined by path induction?, is an equivalence. So we have

$(A=_U B) \simeq (A \simeq B).$

Revision on March 3, 2014 at 14:14:01 by Mike Shulman. See the history of this page for a list of all contributions to it.