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Re: [Coq-Club] How to replace only one occurrence?


chronological Thread 
  • From: Benjamin Werner <benjamin.werner AT polytechnique.fr>
  • To: Yevgeniy Makarov <emakarov AT cs.indiana.edu>
  • Cc: coq-club AT pauillac.inria.fr
  • Subject: Re: [Coq-Club] How to replace only one occurrence?
  • Date: Mon, 21 Feb 2005 08:00:24 +0100
  • List-archive: <http://pauillac.inria.fr/pipermail/coq-club/>

Hi,

Do a "pattern x+y at 2" just before the replace tactic.

Cheers,

B

Le 21 févr. 05, à 07:34, Yevgeniy Makarov a écrit :

Hello,

I want to prove a simple statement that for any two numbers one of them is <= their average. I prove it by contradiction, assuming that both numbers x and y are greater than their average, and by adding the inequalities I get x + y > x + y. When I am entering this in Coq (moving bottom up), I'd like to replace the second x + y by
(avg x y) + (avg x y). How can I do this since the tactics rewrite and replace apply to both occurrences?

Thank you,
Yevgeniy

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