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Re: [Coq-Club] problem to rewrite


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  • From: Matej Kosik <5764c029b688c1c0d24a2e97cd764f AT gmail.com>
  • To: coq-club AT inria.fr
  • Subject: Re: [Coq-Club] problem to rewrite
  • Date: Thu, 31 Jul 2014 17:54:11 +0100

Hi,

On 30/07/14 09:30, coqcdp wrote:
> Hi,
> The context of my program is
> s:U->U->U.
> a:U.
> b:U.
> c:U.
> H0: forall a0 b0 c0:U,s (s a0 b0)
> c0=s a0 (s b0 c0).
> H1:forall a0 b0:U,s a0 b0 = s b0 a0.
>
> _________________________________________________________________
> s b ( s c a) = s b ( s a c)
>
> I want to use "rewrite H1" strategy to rewrite " s c a " to " s a c" ,but
> it doesn't work. Could you tell me the reason and give me some proper
> suggestions? Thank you very much.

A few days ago I asked a question about rewrite tactic, because I was also
puzzled.

I am not sure if I understand your difficulty, but, did you try:

rewrite (H1 c a).

or

pattern (s c a).
rewrite H1.

?

In both cases I am getting:

s b (s a c) = s b (s a c)

Is this what you wanted?



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