matita/matita/contribs/lambdadelta/delayed_updating/unwind/unwind2_prototerm_inner.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 include "delayed_updating/unwind/unwind2_prototerm.ma".
  16 include "delayed_updating/unwind/unwind2_path_inner.ma".
  17 include "ground/lib/subset_overlap.ma".
  18
  19 (* UNWIND FOR PROTOTERM *****************************************************)
  20
  21 (* Destructions with inner condition for path *******************************)
  22
  23 lemma unwind2_term_des_inner (f) (t):
  24       ▼[f]t ≬ 𝐈 → t ≬ 𝐈.
  25 #f #t * #p * #q #Hq #H0 #Hp destruct
  26 @(subset_ol_i … Hq) -Hq (**) (* auto does not work *)
  27 @(unwind2_path_des_inner … Hp)
  28 qed-.