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[helm.git] / matita / contribs / LOGIC / Lift / 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                  *)
+(*                                                                        *)
+(**************************************************************************)
+
+
+
+(* PROOF RELOCATION
+*)
+
+include "datatypes_defs/Proof.ma".
+
+inductive Lift: Nat \to Nat \to Proof \to Proof \to Prop \def
+   | lift_lref_lt: \forall jd,jh,i. i < jd \to Lift jd jh (lref i) (lref i)
+   | lift_lref_ge: \forall jd,jh,i1,i2. jd <= i1 \to (i1 + jh == i2) \to 
+                   Lift jd jh (lref i1) (lref i2)
+   | lift_prin   : \forall jd,jh,h. Lift jd jh (prin h) (prin h)
+   | lift_impw   : \forall jd,jh,p1,p2. 
+                   Lift jd jh p1 p2 \to Lift jd jh (impw p1) (impw p2)
+   | lift_impr   : \forall jd,jh,p1,p2. 
+                   Lift jd jh p1 p2 \to Lift jd jh (impr p1) (impr p2)
+   | lift_impi   : \forall jd,jh,p1,p2. Lift jd jh p1 p2 \to 
+                   \forall q1,q2. Lift jd jh q1 q2 \to
+                   \forall r1,r2. Lift (succ jd) jh r1 r2 \to 
+                   Lift jd jh (impi p1 q1 r1) (impi p2 q2 r2)
+   | lift_scut   : \forall jd,jh,p1,p2. Lift jd jh p1 p2 \to 
+                   \forall q1,q2. Lift jd jh q1 q2 \to
+                   Lift jd jh (scut p1 q1) (scut p2 q2)
+.