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[helm.git] / matita / contribs / LOGIC / PNF / defs.ma

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+(**************************************************************************)
+(*       ___                                                              *)
+(*      ||M||                                                             *)
+(*      ||A||       A project by Andrea Asperti                           *)
+(*      ||T||                                                             *)
+(*      ||I||       Developers:                                           *)
+(*      ||T||         The HELM team.                                      *)
+(*      ||A||         http://helm.cs.unibo.it                             *)
+(*      \   /                                                             *)
+(*       \ /        This file is distributed under the terms of the       *)
+(*        v         GNU General Public License Version 2                  *)
+(*                                                                        *)
+(**************************************************************************)
+
+
+
+(* NORMAL FORM PREDICATE FOR PROOFS IN CONTEXT
+   For cut elimination
+*)
+
+include "PEq/defs.ma".
+include "PRed/defs.ma".
+
+inductive PNF (P:Context) (p:Proof): Prop \def
+   | pnf: (\forall q,Q,S. [P, p, S] => [Q, q, S] \to [P, p] = [Q, q]) \to 
+          PNF P p
+.