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[helm.git] / matita / contribs / LAMBDA-TYPES / Base-1 / plist / 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 "Base-1/preamble.ma".
+
+inductive PList: Set \def
+| PNil: PList
+| PCons: nat \to (nat \to (PList \to PList)).
+
+definition PConsTail:
+ PList \to (nat \to (nat \to PList))
+\def
+ let rec PConsTail (hds: PList) on hds: (nat \to (nat \to PList)) \def 
+(\lambda (h0: nat).(\lambda (d0: nat).(match hds with [PNil \Rightarrow 
+(PCons h0 d0 PNil) | (PCons h d hds0) \Rightarrow (PCons h d (PConsTail hds0 
+h0 d0))]))) in PConsTail.
+
+definition Ss:
+ PList \to PList
+\def
+ let rec Ss (hds: PList) on hds: PList \def (match hds with [PNil \Rightarrow 
+PNil | (PCons h d hds0) \Rightarrow (PCons h (S d) (Ss hds0))]) in Ss.
+
+definition papp:
+ PList \to (PList \to PList)
+\def
+ let rec papp (a: PList) on a: (PList \to PList) \def (\lambda (b: 
+PList).(match a with [PNil \Rightarrow b | (PCons h d a0) \Rightarrow (PCons 
+h d (papp a0 b))])) in papp.
+