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[Coq-Club] equality with existentials


chronological Thread 
  • From: Nadeem Abdul Hamid <nadeem AT acm.org>
  • To: coq-club AT pauillac.inria.fr
  • Subject: [Coq-Club] equality with existentials
  • Date: Tue, 26 Mar 2002 17:03:13 -0500
  • Organization: Yale University

Can the following lemma be proven in Coq:?

Lemma eq_sigS : (A:Set; P:(A -> Set); x:A; e,e':(P x))
                (existS A P x e)=(existS A P x e') -> e=e'.

I can start out with the following tactics,

Intros.
Replace e with (projS2 A P (existS A P x e)).

And then try "Rewrite H", which results in "Error: Cannot solve a second-order unification problem".

Thanks for any help,

--- nadeem

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