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Re: [Coq-Club] Subset of natural numbers


chronological Thread 
  • From: roconnor AT theorem.ca
  • To: Marko Malikovi� <marko AT ffri.hr>
  • Cc: coq-club AT pauillac.inria.fr
  • Subject: Re: [Coq-Club] Subset of natural numbers
  • Date: Wed, 5 Sep 2007 04:31:29 -0400 (EDT)
  • List-archive: <http://pauillac.inria.fr/pipermail/coq-club/>

On Wed, 5 Sep 2007, Marko Malikovi? wrote:

Thank you also,

but I need just to inductive "build up" subgoals like this:

Coq <
Coq < Goal forall x:nat, in_subset x -> x<6.
1 subgoal

 ============================
  forall x : nat, in_subset x -> x < 6

Unnamed_thm < intros x H;induction H.
5 subgoals

With "normally" definition I obtain subgoals which need more required
tactics.

I understand.  What I am suggesting you do is

intros x H; induction H using in_subset_ind'.

--
Russell O'Connor                                      <http://r6.ca/>
``All talk about `theft,''' the general counsel of the American Graphophone
Company wrote, ``is the merest claptrap, for there exists no property in
ideas musical, literary or artistic, except as defined by statute.''





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