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[helm.git] / matita / contribs / LOGIC / PEq / 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                  *)
+(*                                                                        *)
+(**************************************************************************)
+
+
+
+(* EQUALITY PREDICATE FOR PROOFS IN CONTEXT
+*)
+
+include "datatypes_defs/Context.ma".
+
+inductive PEq (Q1:Context) (p1:Proof) (Q2:Context) (p2:Proof): Prop \def
+   | peq_intro: Q1 = Q2 \land p1 = p2 \to PEq Q1 p1 Q2 p2
+.
+
+(*CSC: the URI must disappear: there is a bug now *)
+interpretation 
+   "leibniz equality between proofs in context"
+   'eq2 x1 y1 x2 y2 = 
+      (cic:/matita/LOGIC/PEq/defs/PEq.ind#xpointer(1/1) x1 y1 x2 y2)
+.
+
+notation "hvbox([a1,b1] break = [a2,b2])" 
+  non associative with precedence 45
+for @{ 'eq2 $a1 $b1 $a2 $b2 }.