matita/contribs/LAMBDA-TYPES/LambdaDelta-1/lift1/defs.ma

   1 (**************************************************************************)
   2 (*       ___                                                              *)
   3 (*      ||M||                                                             *)
   4 (*      ||A||       A project by Andrea Asperti                           *)
   5 (*      ||T||                                                             *)
   6 (*      ||I||       Developers:                                           *)
   7 (*      ||T||         The HELM team.                                      *)
   8 (*      ||A||         http://helm.cs.unibo.it                             *)
   9 (*      \   /                                                             *)
  10 (*       \ /        This file is distributed under the terms of the       *)
  11 (*        v         GNU General Public License Version 2                  *)
  12 (*                                                                        *)
  13 (**************************************************************************)
  14
  15 (* This file was automatically generated: do not edit *********************)
  16
  17 include "LambdaDelta-1/lift/defs.ma".
  18
  19 definition trans:
  20  PList \to (nat \to nat)
  21 \def
  22  let rec trans (hds: PList) on hds: (nat \to nat) \def (\lambda (i:
  23 nat).(match hds with [PNil \Rightarrow i | (PCons h d hds0) \Rightarrow (let
  24 j \def (trans hds0 i) in (match (blt j d) with [true \Rightarrow j | false
  25 \Rightarrow (plus j h)]))])) in trans.
  26
  27 definition lift1:
  28  PList \to (T \to T)
  29 \def
  30  let rec lift1 (hds: PList) on hds: (T \to T) \def (\lambda (t: T).(match hds
  31 with [PNil \Rightarrow t | (PCons h d hds0) \Rightarrow (lift h d (lift1 hds0
  32 t))])) in lift1.
  33
  34 definition lifts1:
  35  PList \to (TList \to TList)
  36 \def
  37  let rec lifts1 (hds: PList) (ts: TList) on ts: TList \def (match ts with
  38 [TNil \Rightarrow TNil | (TCons t ts0) \Rightarrow (TCons (lift1 hds t)
  39 (lifts1 hds ts0))]) in lifts1.
  40