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Re: [Coq-Club] forall elimination in hypotheses?


chronological Thread 
  • From: Pierre-Marie P�drot <pierremarie.pedrot AT ens-lyon.fr>
  • To: Patrice Chalin <chalin AT encs.concordia.ca>
  • Cc: coq-club AT inria.fr
  • Subject: Re: [Coq-Club] forall elimination in hypotheses?
  • Date: Mon, 10 May 2010 10:25:37 +0200

On 09/05/2010 08:00, Patrice Chalin wrote:
> I would like to do a forall elimination on H. While in general I know that 
> this
> is impossible (because T might not be inhabited), in this case, we have the
> witness x : T.        Hence, I would like to be able to instantiate H with 
> x. Can
> this be done in Coq?

There are various ways to do that ; you may use the following tactics
and their variants :

specialize (H x).

(* This one will keep the name H for the specialize hypothesis, or : *)

assert (H' := H x).

(* You need to pick up a fresh name for this one. *)

PMP

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