+++ /dev/null
-(**************************************************************************)
-(* ___ *)
-(* ||M|| *)
-(* ||A|| A project by Andrea Asperti *)
-(* ||T|| *)
-(* ||I|| Developers: *)
-(* ||T|| The HELM team. *)
-(* ||A|| http://helm.cs.unibo.it *)
-(* \ / *)
-(* \ / This file is distributed under the terms of the *)
-(* v GNU General Public License Version 2 *)
-(* *)
-(**************************************************************************)
-
-include "delayed_updating/substitution/lift_eq.ma".
-include "delayed_updating/syntax/path_proper.ma".
-
-(* LIFT FOR PATH ************************************************************)
-
-(* Constructions with proper condition for path *****************************)
-
-lemma lift_path_proper (f) (p):
- p ϵ 𝐏 → ↑[f]p ϵ 𝐏.
-#f *
-[ #H0 elim (ppc_inv_empty … H0)
-| * [ #n ] #p #_
- [ <lift_path_d_sn /2 width=3 by ppc_lcons/
- | <lift_path_m_sn /2 width=3 by ppc_lcons/
- | <lift_path_L_sn /2 width=3 by ppc_lcons/
- | <lift_path_A_sn /2 width=3 by ppc_lcons/
- | <lift_path_S_sn /2 width=3 by ppc_lcons/
- ]
-]
-qed.
-
-(* Inversions with proper condition for path ********************************)
-
-lemma lift_path_inv_proper (f) (p):
- ↑[f]p ϵ 𝐏 → p ϵ 𝐏.
-#f * //
-#H0 elim (ppc_inv_empty … H0)
-qed-.