From: "Martín Hötzel Escardó" <"escardo..."@gmail.com>
To: Homotopy Type Theory <HomotopyT...@googlegroups.com>
Subject: Re: [HoTT] Yet another characterization of univalence
Date: Fri, 24 Nov 2017 15:28:18 -0800 (PST) [thread overview]
Message-ID: <4cc1b669-72f1-4dae-9ea6-5190f9b4c261@googlegroups.com> (raw)
In-Reply-To: <b8d32e71-d896-4962-a831-c1fd4a8280f7@googlegroups.com>
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Of course the last line is Id x ≡ A (without the y).
Copy-and-paste-and-don't-modify properly phenomenon.
On Friday, 24 November 2017 23:12:03 UTC, Martín Hötzel Escardó wrote:
>
>
> A x ≃ Nat (Id x) A (yoneda)
> = Π(y:Y), Id x y → A y (definition)
> ≃ Π(y:Y), Id x y ≃ A y (because Σ A is contractible (Yoneda
> corollary))
> ≃ Π(y:Y), Id x y ≡ A y (by univalence)
> ≃ Id x ≡ A y (by extensionality)
>
>
Lat line should have been
≃ Id x ≡ A
> Martin
>
>
>
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prev parent reply other threads:[~2017-11-24 23:28 UTC|newest]
Thread overview: 16+ messages / expand[flat|nested] mbox.gz Atom feed top
2017-11-17 23:53 Martín Hötzel Escardó
2017-11-20 3:54 ` [HoTT] " y
2017-11-24 12:21 ` Martín Hötzel Escardó
2017-11-24 19:11 ` Martín Hötzel Escardó
2017-11-28 9:40 ` Andrej Bauer
2017-11-29 21:12 ` Evan Cavallo
[not found] ` <204e382a-efcf-cb13-006f-47fdbadd99a5@cs.bham.ac.uk>
2017-11-29 22:15 ` Evan Cavallo
2017-11-29 22:16 ` Martín Hötzel Escardó
2017-12-01 14:49 ` Martin Escardo
2017-12-01 14:53 ` Martín Hötzel Escardó
2017-12-09 0:27 ` Martín Hötzel Escardó
2017-12-18 22:58 ` Martín Hötzel Escardó
2017-12-19 3:36 ` Gershom B
2017-12-20 20:46 ` Martín Hötzel Escardó
2017-11-24 23:12 ` Martín Hötzel Escardó
2017-11-24 23:28 ` Martín Hötzel Escardó [this message]
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