matita/matita/contribs/lambdadelta/basic_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 "basic_1/sn3/defs.ma".
  18
  19 include "basic_1/arity/defs.ma".
  20
  21 include "basic_1/drop1/defs.ma".
  22
  23 let rec sc3 (g: G) (a: A) on a: C \to (T \to Prop) \def \lambda (c:
  24 C).(\lambda (t: T).(match a with [(ASort h n) \Rightarrow (let TMP_7 \def
  25 (ASort h n) in (let TMP_8 \def (arity g c t TMP_7) in (let TMP_9 \def (sn3 c
  26 t) in (land TMP_8 TMP_9)))) | (AHead a1 a2) \Rightarrow (let TMP_1 \def
  27 (AHead a1 a2) in (let TMP_2 \def (arity g c t TMP_1) in (let TMP_6 \def
  28 (\forall (d: C).(\forall (w: T).((sc3 g a1 d w) \to (\forall (is:
  29 PList).((drop1 is d c) \to (let TMP_3 \def (Flat Appl) in (let TMP_4 \def
  30 (lift1 is t) in (let TMP_5 \def (THead TMP_3 w TMP_4) in (sc3 g a2 d
  31 TMP_5))))))))) in (land TMP_2 TMP_6))))])).
  32