matita/contribs/LAMBDA-TYPES/LambdaDelta-1/sc3/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/sn3/defs.ma".
  18
  19 include "LambdaDelta-1/arity/defs.ma".
  20
  21 include "LambdaDelta-1/drop1/defs.ma".
  22
  23 definition sc3:
  24  G \to (A \to (C \to (T \to Prop)))
  25 \def
  26  let rec sc3 (g: G) (a: A) on a: (C \to (T \to Prop)) \def (\lambda (c:
  27 C).(\lambda (t: T).(match a with [(ASort h n) \Rightarrow (land (arity g c t
  28 (ASort h n)) (sn3 c t)) | (AHead a1 a2) \Rightarrow (land (arity g c t (AHead
  29 a1 a2)) (\forall (d: C).(\forall (w: T).((sc3 g a1 d w) \to (\forall (is:
  30 PList).((drop1 is d c) \to (sc3 g a2 d (THead (Flat Appl) w (lift1 is
  31 t)))))))))]))) in sc3.
  32