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- From: Eric Tanter <etanter AT dcc.uchile.cl>
- To: coq-club AT inria.fr
- Subject: [Coq-Club] Beginner's question: rewrite
- Date: Fri, 24 Dec 2010 19:11:25 -0300
Hi,
I'm just starting to learn Coq, going through Pierce's & co Software
Foundations.
In a proof, I have the following situation:
(ev is an inductively defined property of evenness)
1 subgoal
Case := "E = ev_SS n' En'" : String.string
m : nat
n' : nat
En' : ev n'
IHEn' : ev m -> ev (n' + m)
Em : ev (S (S (n' + m)))
H : S (S n') + m = S (S (n' + m))
______________________________________(1/1)
ev (S (S n') + m)
one way to reach the goal is:
rewrite <- H in Em. apply Em.
However, it seems to me that I could also reach the goal by using rewrite in
the goal, not in Em.
I therefore tried the following:
rewrite -> H. apply Em. But the rewrite fails with:
Error: Found no subterm matching "S (S n') + m" in the current goal.
I would have expected rewrite to transform the goal to ev (S (S (n' + m))),
which is exactly Em.
I don't understand why the rewrite fails in the goal, while it succeeds in Em.
Any explanation is more than welcome!
Thanks,
-- Éric
- [Coq-Club] Beginner's question: rewrite, Eric Tanter
- Re: [Coq-Club] Beginner's question: rewrite,
Sidi Ould_biha
- Re: [Coq-Club] Beginner's question: rewrite,
Eric Tanter
- Re: [Coq-Club] Beginner's question: rewrite,
Evgeny Makarov
- Re: [Coq-Club] Beginner's question: rewrite,
Eric Tanter
- Re: [Coq-Club] Beginner's question: rewrite,
Eric Tanter
- Re: [Coq-Club] Beginner's question: rewrite,
Eric Tanter
- Re: [Coq-Club] Beginner's question: rewrite, Ben Moseley
- Re: [Coq-Club] Beginner's question: rewrite, Alexandre Pilkiewicz
- Re: [Coq-Club] Beginner's question: rewrite, Eric Tanter
- Re: [Coq-Club] Beginner's question: rewrite,
Eric Tanter
- Re: [Coq-Club] Beginner's question: rewrite,
Eric Tanter
- Re: [Coq-Club] Beginner's question: rewrite,
Eric Tanter
- Re: [Coq-Club] Beginner's question: rewrite,
Evgeny Makarov
- Re: [Coq-Club] Beginner's question: rewrite,
Eric Tanter
- Re: [Coq-Club] Beginner's question: rewrite,
Sidi Ould_biha
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