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[helm.git] / matita / contribs / LOGIC / WLT / 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 PROOFS IN CONTEXT
+*)
+
+include "Weight/defs.ma".
+
+inductive WLT (Q1:Context) (p1:Proof) (Q2:Context) (p2:Proof): Prop \def
+   | wlt_intro: \forall m,m1. Weight m Q1 p1 m1 \to
+                \forall m2. Weight m Q2 p2 m2 \to
+                m1 < m2 \to WLT Q1 p1 Q2 p2               
+.
+
+interpretation "order relation between proofs in context" 
+   'lt2 x1 y1 x2 y2 = 
+      (cic:/matita/LOGIC/WLT/defs/WLT.ind#xpointer(1/1) x1 y1 x2 y2).
+
+notation "hvbox([a1, b1] break \lt [a2, b2])" 
+  non associative with precedence 45
+for @{ 'lt2 $a1 $b1 $a2 $b2 }.