matita/matita/contribs/lambdadelta/delayed_updating/substitution/lift_prototerm_proper.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/substitution/lift_prototerm.ma".
  16 include "delayed_updating/substitution/lift_path_proper.ma".
  17 include "delayed_updating/syntax/prototerm_proper.ma".
  18
  19 (* LIFT FOR PROTOTERM *******************************************************)
  20
  21 (* Constructions with proper condition for path *****************************)
  22
  23 lemma lift_term_proper (f) (t):
  24       t ϵ 𝐏 → 🠡[f]t ϵ 𝐏.
  25 #f #t #Ht #p * #q #Hq #H0 destruct
  26 @lift_path_proper @Ht -Ht // (**) (* auto fails *)
  27 qed.
  28
  29 (* Inversions with proper condition for path ********************************)
  30
  31 lemma lift_term_inv_proper (f) (t):
  32       🠡[f]t ϵ 𝐏 → t ϵ 𝐏.
  33 #f #t #Ht #p #Hp
  34 @(lift_path_inv_proper f)
  35 @Ht -Ht @in_comp_lift_path_term // (**) (* auto fails *)
  36 qed-.