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[helm.git] / matita / contribs / LOGIC / CLE / 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                  *)
+(*                                                                        *)
+(**************************************************************************)
+
+
+
+(* ORDER RELATION BETWEEN POSITIONS AND CONTEXTS
+*)
+
+include "datatypes_defs/Context.ma".
+
+inductive CLE: Nat \to Context \to Prop \def
+   | cle_zero: \forall Q. CLE zero Q
+   | cle_succ: \forall Q,i. CLE i Q \to 
+               \forall p1,p2,R. CLE (succ i) (abst Q p1 p2 R)
+.
+
+interpretation "order relation between positions and contexts" 
+   'leq x y = (cic:/matita/LOGIC/CLE/defs/CLE.ind#xpointer(1/1) x y).