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Re: [Coq-Club] Names of bound variables of existing lemma changes


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  • From: Pierre Courtieu <pierre.courtieu AT gmail.com>
  • To: Coq Club <coq-club AT inria.fr>
  • Subject: Re: [Coq-Club] Names of bound variables of existing lemma changes
  • Date: Wed, 4 May 2016 15:27:04 +0200
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2016-05-04 14:45 GMT+02:00 Ralf Jung
<jung AT mpi-sws.org>:
> And while I am on it -- what is the reason that this syntax can be used
> only for implicit arguments? I think it would be just as useful for
> explicit arguments; for example to give arguments in a different order,
> or when applying a lemma, as in [apply (lemma (arg:=foo))], without
> having to specify [arg] as implicit.

It is possible actually:

Lemma foo n (P Q : Prop) : n = O -> Q -> P -> Q.
Proof.
intros H H0 H1.
auto.
Qed.

Print Implicit foo. (* no implicits*)


Lemma trying : False -> False.
Proof.
apply foo with (P:=False) (n:=0) .
Undo.
Fail apply foo with (P:=False). (* fails because n should be given
if Q is given *)
eapply foo with (P:=False). (* OK *)

Qed.

P.

> Kind regards,
> Ralf



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