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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                  *)
+(*                                                                        *)
+(**************************************************************************)
+
+(* This file was automatically generated: do not edit *********************)
+
+include "LambdaDelta-1/drop/defs.ma".
+
+include "LambdaDelta-1/lift1/defs.ma".
+
+inductive drop1: PList \to (C \to (C \to Prop)) \def
+| drop1_nil: \forall (c: C).(drop1 PNil c c)
+| drop1_cons: \forall (c1: C).(\forall (c2: C).(\forall (h: nat).(\forall (d: 
+nat).((drop h d c1 c2) \to (\forall (c3: C).(\forall (hds: PList).((drop1 hds 
+c2 c3) \to (drop1 (PCons h d hds) c1 c3)))))))).
+
+definition ptrans:
+ PList \to (nat \to PList)
+\def
+ let rec ptrans (hds: PList) on hds: (nat \to PList) \def (\lambda (i: 
+nat).(match hds with [PNil \Rightarrow PNil | (PCons h d hds0) \Rightarrow 
+(let j \def (trans hds0 i) in (let q \def (ptrans hds0 i) in (match (blt j d) 
+with [true \Rightarrow (PCons h (minus d (S j)) q) | false \Rightarrow 
+q])))])) in ptrans.
+