[Agda] Vec _ n cong by n
Sergei Meshveliani
mechvel at botik.ru
Wed Jun 19 19:47:40 CEST 2013
On Wed, 2013-06-19 at 19:28 +0200, Jesper Cockx wrote:
> By pattern matching on the proof |xs|=n:
>
>
> f : (xs : List ℕ) → (n : ℕ) → length xs ≡ n → Vec ℕ n
> f xs .(length xs) refl = fromList xs
> [..]
This is very new to me!
Really -- no way to implement this without a dotted pattern?
Thanks,
------
Sergei
> On Wed, Jun 19, 2013 at 6:16 PM, Sergei Meshveliani <mechvel at botik.ru>
> wrote:
> Please, how to fix the following code?
>
> f : (xs : List ℕ) → (n : ℕ) → length xs ≡ n → Vec ℕ n
> f xs n |xs|=n = v
> where
> v : Vec ℕ (length xs)
> v = fromList xs
>
> The type of v does not match.
>
> According to |xs|=n, length xs can be replaced with n in
> Vec ℕ (length xs).
> But probably, cong is not for Vec ...
> So I wonder.
>
> Thank you in advance for explanation,
>
> ------
> Sergei
>
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