Oh, well, yes, a special case of metric completion (the reals) was
mentioned in passing, I think. And a more general notion (something like
the completion of a topological group, I think?) featured in my Algebra
1 course, which was an elective. But "metric completion" as such I have
not heard
On Thu, 2018-01-18 at 14:31 +0100, Tobias Nipkow wrote:
> > One possible criterion: which results
> > are part of a standard undergraduate athematics curriculum?
>
> It sounds like a reasonable criterion. Can you tell us what that means for
> Hausdorff_Distance, Metric_Completion and
I'm afraid I've no idea. I didn't study much analysis for my first degree, not
even the basics of complex analysis.
Larry
> On 18 Jan 2018, at 14:29, Tobias Nipkow wrote:
>
> So what is the situation wrt the theories I asked about?
I for one have not encountered any of these things in my undergraduate
mathematics lectures. But the situation may well be different in other
universities.
On 2018-01-18 15:29, Tobias Nipkow wrote:
> So what is the situation wrt the theories I asked about?
>
> Tobias
>
> On 18/01/2018 15:11,
So what is the situation wrt the theories I asked about?
Tobias
On 18/01/2018 15:11, Lawrence Paulson wrote:
This is mainly a negative criterion, i.e., something outside the undergraduate
curriculum probably should not be in our core libraries. But I would guess for
example mathematicians
This is mainly a negative criterion, i.e., something outside the undergraduate
curriculum probably should not be in our core libraries. But I would guess for
example mathematicians cover Gödel's theorem, which we would not want to move
to our core libraries.
Larry
> On 18 Jan 2018, at 13:31,
> Am 18.01.2018 um 14:36 schrieb Tobias Nipkow :
>
>
>
> On 18/01/2018 11:06, Fabian Immler wrote:
>>> Am 18.01.2018 um 08:32 schrieb Tobias Nipkow :
>>>
>>> 1. Library/Complement contains both new generic material like "t3_space"
>>> but also new
On 18/01/2018 11:06, Fabian Immler wrote:
Am 18.01.2018 um 08:32 schrieb Tobias Nipkow :
1. Library/Complement contains both new generic material like "t3_space" but
also new concepts like [mono_intros] for more automation in proving of inequalities. In
short, there is a
On 18/01/2018 12:48, Lawrence Paulson wrote:
We certainly need to solve this problem.
Absolutely. For practical reasons I would put as much in the AFP as possible,
(One could make exceptions for small theories, but this could get out of hand
again).
One possible criterion: which results
We certainly need to solve this problem. One possible criterion: which results
are part of a standard undergraduate athematics curriculum?
Larry
> On 18 Jan 2018, at 10:06, Fabian Immler wrote:
>
> We do not have a precise specification of what HOL-Analysis is or should be.
> Am 18.01.2018 um 08:32 schrieb Tobias Nipkow :
>
> 1. Library/Complement contains both new generic material like "t3_space" but
> also new concepts like [mono_intros] for more automation in proving of
> inequalities. In short, there is a wealth of material that might be
For those of you interested in formalization of Analysis
https://devel.isa-afp.org/entries/Gromov_Hyperbolicity.html
I would like to call your attention to this entry because it is rich in concepts
and theorems that are more general than the actual focus of the article. I
believe quite a bit
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