Comment by zozbot234

> It handles all the complications that the author mentions. This is one of the reasons type theorists were excited about HoTT in the first place.

It's not that simple, Buzzard actually seems to be quite familiar with HoTT. The HoTT schtick of defining equality between types as isomorphism does 'handle' these issues for you in the sense that they are treated rigorously, but there's no free lunch in that. You still need to do all the usual work establishing compatibility of values, functions etc. with the relevant isomorphisms, so other than the presentation being somewhat more straightforward there is not much of a gain in usability.