Raghu, perhaps you want
  Set Universe Polymorphism.
  Definition univalence@{U U'} : Type@{U'} := forall X Y : Type@{U}, ...
or alternatively
  Universe U.
  Definition univalence := forall X Y : Type@{U}, ...
?

On Fri, Mar 9, 2018 at 12:00 AM N. Raghavendra <ra...@hri.res.in> wrote:
At 2018-03-07T13:10:53-08:00, Martín Hötzel Escardó wrote:

> This also has an ancillary Agda file with univalence defined from
> scratch (without the use of any library at all). Perhaps somebody
> should add a Coq "version from scratch" of this.

I have kept my attempt at a Coq version at

  http://www.retrotexts.net/just-univalence/toc.html

However, I don't know how to define the univalence of a universe in Coq,
that is, I don't know what to write for foo and bar in

  Definition univalence (U : foo) : bar := baz.

Remarks are welcome.

Raghu.

--
N. Raghavendra <ra...@hri.res.in>, http://www.retrotexts.net/
Harish-Chandra Research Institute, http://www.hri.res.in/

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