helm/software/matita/contribs/LAMBDA-TYPES/Level-1/LambdaDelta/drop1/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 set "baseuri" "cic:/matita/LAMBDA-TYPES/Level-1/LambdaDelta/drop1/defs".
  18
  19 include "drop/defs.ma".
  20
  21 include "lift1/defs.ma".
  22
  23 inductive drop1: PList \to (C \to (C \to Prop)) \def
  24 | drop1_nil: \forall (c: C).(drop1 PNil c c)
  25 | drop1_cons: \forall (c1: C).(\forall (c2: C).(\forall (h: nat).(\forall (d:
  26 nat).((drop h d c1 c2) \to (\forall (c3: C).(\forall (hds: PList).((drop1 hds
  27 c2 c3) \to (drop1 (PCons h d hds) c1 c3)))))))).
  28
  29 definition ctrans:
  30  PList \to (nat \to (T \to T))
  31 \def
  32  let rec ctrans (hds: PList) on hds: (nat \to (T \to T)) \def (\lambda (i:
  33 nat).(\lambda (t: T).(match hds with [PNil \Rightarrow t | (PCons h d hds0)
  34 \Rightarrow (let j \def (trans hds0 i) in (let u \def (ctrans hds0 i t) in
  35 (match (blt j d) with [true \Rightarrow (lift h (minus d (S j)) u) | false
  36 \Rightarrow u])))]))) in ctrans.
  37