[Agda] list of types

Altenkirch Thorsten psztxa at exmail.nottingham.ac.uk
Mon Apr 15 21:36:31 CEST 2013


No but I only claim to be able to prove an equivalence. With UA you can prove them to be equal.

Thorsten

Sent from my iPhone

On 15 Apr 2013, at 14:50, "Bas Spitters" <spitters at cs.ru.nl> wrote:

> On Mon, Apr 15, 2013 at 5:59 PM, Altenkirch Thorsten
> <psztxa at exmail.nottingham.ac.uk> wrote:
>> What I mean is the following: there is an equivalence between
>>        A -> Set
>> and
>>        Sigma[ X : Set ] X -> A
>> 
>> this is a trivial instance of the Grothendieck construction between
>> families and fibrations.
> 
> I used UA to prove this, did you see a simpler construction?
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