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[helm.git] / matita / contribs / LOGIC / Insert / 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                  *)
+(*                                                                        *)
+(**************************************************************************)
+
+
+
+(* INSERT RELATION FOR CONTEXTS
+*)
+
+include "Lift/defs.ma".
+include "datatypes_defs/Context.ma".
+
+inductive Insert (p,q:Proof) (S:Sequent): 
+                 Nat \to Context \to Context \to Prop \def
+   | insert_zero: \forall P. Insert p q S zero P (abst P p q S)
+   | insert_succ: \forall P,Q,i. Insert p q S i P Q \to 
+                  \forall p1,p2. Lift i (succ zero) p1 p2 \to 
+                  \forall q1,q2. Lift i (succ zero) q1 q2 \to \forall R. 
+                  Insert p q S (succ i) (abst P p1 q1 R) (abst Q p2 q2 R)
+.