1 (**************************************************************************)
4 (* ||A|| A project by Andrea Asperti *)
6 (* ||I|| Developers: *)
7 (* ||T|| The HELM team. *)
8 (* ||A|| http://helm.cs.unibo.it *)
10 (* \ / This file is distributed under the terms of the *)
11 (* v GNU General Public License Version 2 *)
13 (**************************************************************************)
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".
19 (* LIFT FOR PROTOTERM *******************************************************)
21 (* Constructions with proper condition for path *****************************)
23 lemma lift_term_proper (f) (t):
25 #f #t #Ht #p * #q #Hq #H0 destruct
26 @lift_path_proper @Ht -Ht // (**) (* auto fails *)
29 (* Inversions with proper condition for path ********************************)
31 lemma lift_term_inv_proper (f) (t):
34 @(lift_path_inv_proper f)
35 @Ht -Ht @in_comp_lift_path_term // (**) (* auto fails *)