From: Jason Gross <jason...@gmail.com>
To: "N. Raghavendra" <ra...@hri.res.in>
Cc: "Martín Hötzel Escardó" <"escardo..."@gmail.com>,
"Homotopy Type Theory" <"HomotopyT..."@googlegroups.com>
Subject: Re: [HoTT] Univalence from scratch
Date: Fri, 09 Mar 2018 07:02:08 +0000 [thread overview]
Message-ID: <CAKObCaqACS-j6_VN6ZduSzD8JscVBtHOsj108fE0=WaL2C5F6Q@mail.gmail.com> (raw)
In-Reply-To: <87woylzvvt.fsf@hri.res.in>
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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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next prev parent reply other threads:[~2018-03-09 7:02 UTC|newest]
Thread overview: 11+ messages / expand[flat|nested] mbox.gz Atom feed top
2018-03-07 21:10 Martín Hötzel Escardó
2018-03-08 1:37 ` [HoTT] " Jason Gross
2018-03-08 10:04 ` Martin Escardo
2018-03-08 3:50 ` Matt Oliveri
2018-03-08 9:25 ` [HoTT] " Andrej Bauer
2018-03-08 9:26 ` Andrej Bauer
2018-03-08 10:04 ` Martin Escardo
2018-03-09 5:00 ` [HoTT] " N. Raghavendra
2018-03-09 7:02 ` Jason Gross [this message]
2018-03-09 9:13 ` N. Raghavendra
2018-04-25 2:10 ` Jeff Olson
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