Seems a good idea to me.  Given ETA_AX, it's easy to show equivalence with
current HOL Light, and it's always better to have closed formulae coming out
of definition commands.

One small point: the formulae as written in the linked message do not have
the intended syntactic form (due to bracketing), and should of course be
written as this:

   (\a. abs (rep a)) = \a. a
   P = (\r. rep (abs r) = r)

Mark.

on 16/10/14 5:19 PM, Ramana Kumar <ramana.ku...@cl.cam.ac.uk> wrote:

> Hi all,
>
> There has been an interesting discussion on the OpenTheory mailing list
> recently regarding how to simplify the two theorems produced by a type
> definition in HOL Light and remove their free variables. The latest
message
> in the thread, which shows the  suggestions by Mario Carneiro can be found
> here:
> http://www.gilith.com/pipermail/opentheory-users/2014-October/000415.html.
>
> I'm cross-posting to this list because I think using Mario's suggestions
> would be an improvement to both HOL Light and Opentheory. I hope the
> respective authors of those systems might agree and implement the changes,
> and that anyone else with an interest might voice their opinion.
>
> Cheers,
> Ramana
>
>
>
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