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[helm.git] / matita / contribs / LAMBDA-TYPES / LambdaDelta-1 / 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                  *)
+(*                                                                        *)
+(**************************************************************************)
+
+(* This file was automatically generated: do not edit *********************)
+
+include "LambdaDelta-1/tlist/defs.ma".
+
+include "LambdaDelta-1/s/defs.ma".
+
+definition lref_map:
+ ((nat \to nat)) \to (nat \to (T \to T))
+\def
+ let rec lref_map (f: ((nat \to nat))) (d: nat) (t: T) on t: T \def (match t 
+with [(TSort n) \Rightarrow (TSort n) | (TLRef i) \Rightarrow (TLRef (match 
+(blt i d) with [true \Rightarrow i | false \Rightarrow (f i)])) | (THead k u 
+t0) \Rightarrow (THead k (lref_map f d u) (lref_map f (s k d) t0))]) in 
+lref_map.
+
+definition lift:
+ nat \to (nat \to (T \to T))
+\def
+ \lambda (h: nat).(\lambda (i: nat).(\lambda (t: T).(lref_map (\lambda (x: 
+nat).(plus x h)) i t))).
+
+definition lifts:
+ nat \to (nat \to (TList \to TList))
+\def
+ let rec lifts (h: nat) (d: nat) (ts: TList) on ts: TList \def (match ts with 
+[TNil \Rightarrow TNil | (TCons t ts0) \Rightarrow (TCons (lift h d t) (lifts 
+h d ts0))]) in lifts.
+