[Agda] `with' to case_of_ example

[Thorsten Altenkirch]

What is the difference between a proof and a function?

On 06/05/2016, 13:47, "agda-bounces at lists.chalmers.se on behalf of Andreas
Abel" <agda-bounces at lists.chalmers.se on behalf of
andreas.abel at ifi.lmu.de> wrote:

>This is not a bug.
>
>As a rule of thumb, functions such as delKey can be implemented using
>"case", but proofs about these functions usually need "with".
>
>On 04.05.2016 12:51, Sergei Meshveliani wrote:
>> Hi, all,
>>
>> I attach a small program for deleting a key from a pair list,
>> and for proving  (Preserves _≈_ ⟶ _≡_)  for this operation.
>>
>> The `with' version is type-checked and the `case' version is not
>> (Agda 2.5.1, ghc-7.10.2).
>>
>> Is this a bug?
>> Can it be written as case_of_ ?
>>
>> (Agda 2.5.1, ghc-7.10.2).
>>
>> Thanks,
>>
>> ------
>> Sergei
>>
>>
>>
>> _______________________________________________
>> Agda mailing list
>> Agda at lists.chalmers.se
>> https://lists.chalmers.se/mailman/listinfo/agda
>>
>
>
>-- 
>Andreas Abel  <><      Du bist der geliebte Mensch.
>
>Department of Computer Science and Engineering
>Chalmers and Gothenburg University, Sweden
>
>andreas.abel at gu.se
>http://www2.tcs.ifi.lmu.de/~abel/
>_______________________________________________
>Agda mailing list
>Agda at lists.chalmers.se
>https://lists.chalmers.se/mailman/listinfo/agda





This message and any attachment are intended solely for the addressee
and may contain confidential information. If you have received this
message in error, please send it back to me, and immediately delete it. 

Please do not use, copy or disclose the information contained in this
message or in any attachment.  Any views or opinions expressed by the
author of this email do not necessarily reflect the views of the
University of Nottingham.

This message has been checked for viruses but the contents of an
attachment may still contain software viruses which could damage your
computer system, you are advised to perform your own checks. Email
communications with the University of Nottingham may be monitored as
permitted by UK legislation.