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Re: [Coq-Club] Re: problem in embedding


Chronological Thread 
  • From: Pierre Casteran <pierre.casteran AT labri.fr>
  • To: like <12like34xiongmao AT 163.com>
  • Cc: coq-club AT inria.fr
  • Subject: Re: [Coq-Club] Re: problem in embedding
  • Date: Tue, 28 Aug 2012 11:46:18 +0200

Hi,


Let us look at your goal with "Printing Notations" off


Unset Printing Notations.

(*
1 subgoal (ID 30)

p : formula
q : formula
r : formula
H : model_p (chop (and (Fnext p) (Fnext q)) r)
============================
model_p (chop (Fnext (and p q)) r)
*)

Check t2.
(*t2
: forall p q : formula,
Logic.iff (model_p (and (Fnext p) (Fnext q)))
(model_p (Fnext (and p q)))

*)

If you consider some instance (t2 X Y) of t2
its type is Logic.iff (model_p (and (Fnext X) (Fnext Y)))
(model_p (Fnext (and X Y)))

but the left hand side of this equivalence is not a subterm of H
(the structure induced by model_p , chop, Fnext ... is not compatible).

Pierre




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