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[Coq-Club] Induction step in Coq


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  • From: "Flavio L. C. de Moura" <flaviomoura AT unb.br>
  • To: coq-club AT pauillac.inria.fr
  • Subject: [Coq-Club] Induction step in Coq
  • Date: Fri, 24 Oct 2008 14:04:01 -0200
  • List-archive: <http://pauillac.inria.fr/pipermail/coq-club/>

Hello,

   This is probably a simple question, but I didn't manage to solve it...
I have a binary predicate, say my_pred n t. The first argument is a natural and the second is an term of inductive type. In the induction step I get an expression of the form my_pred (n+1) t' where t' is simpler than t, and hence I can apply the induction hypothesis, but the induction hypothesis refers to the expression my_pred n t'. In a paper and pencil proof this step is trivial, but how can I instruct Coq to apply the induction hypothesis correctly?
Thank you in advance!

Best regards,

Flávio.





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