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- From: "Zhoulai.FU AT X.org" <zhoulai.fu AT polytechnique.org>
- To: coq-club AT inria.fr
- Subject: Re: [Coq-Club] Beginner's question: how to prove m+n = n+m
- Date: Mon, 1 Mar 2010 12:36:20 +0100
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On Mon, Mar 1, 2010 at 11:58 AM, Adam Koprowski <adam.koprowski AT gmail.com> wrote:
Thanks. You are right. I had forgetten [induction]. In fact, my question should have been:
How can I prove it with only the several keywords that learned so far: Induction
On Mon, Mar 1, 2010 at 11:53, <zell08v AT orange.fr> wrote:Hello,
I am a total beginner on Coq. Here is an exercise from the introduction cours
of Pierce. To prove:
**********************
Theorem plus_comm : forall n m : nat,
plus n m = plus m n.
Proof.
(* FILL IN HERE *) Admitted.
********************
How can I prove it with only the several keywords that leaarned so far:
simpl. reflexivity. rewrite. intros. Case. Eval.
Indeed, as the proof goes by induction, you will have to extend this list with the [induction] tactic.
Thanks. You are right. I had forgetten [induction]. In fact, my question should have been:
simpl. reflexivity. rewrite. intros. Case. Eval.
I mean I still hope to know the answer with this extended list:) Thanks in advance.
- [Coq-Club] Beginner's question: how to prove m+n = n+m, zell08v
- Re: [Coq-Club] Beginner's question: how to prove m+n = n+m,
Adam Koprowski
- Re: [Coq-Club] Beginner's question: how to prove m+n = n+m, Zhoulai.FU AT X.org
- Re: [Coq-Club] Beginner's question: how to prove m+n = n+m,
gallais @ EnsL
- Re: [Coq-Club] Beginner's question: how to prove m+n = n+m,
Zhoulai.FU AT X.org
- Re: [Coq-Club] Beginner's question: how to prove m+n = n+m, Guilhem Moulin
- Re: [Coq-Club] Beginner's question: how to prove m+n = n+m, Adam Koprowski
- Re: [Coq-Club] Beginner's question: how to prove m+n = n+m,
Zhoulai.FU AT X.org
- Re: [Coq-Club] Beginner's question: how to prove m+n = n+m,
gallais @ EnsL
- Re: [Coq-Club] Beginner's question: how to prove m+n = n+m, Zhoulai.FU AT X.org
- Re: [Coq-Club] Beginner's question: how to prove m+n = n+m, Jean-Marc Notin
- Re: [Coq-Club] Beginner's question: how to prove m+n = n+m,
Adam Koprowski
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