+++ /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 "basic_2/static/lfxs_lex.ma".
-include "basic_2/rt_transition/lfpx_fsle.ma".
-include "basic_2/rt_transition/lpx.ma".
-
-(* UNBOUND PARALLEL RT-TRANSITION FOR REFERRED LOCAL ENVIRONMENTS ***********)
-
-(* Properties with syntactic equivalence for referred local environments ****)
-
-lemma fleq_lfpx (h) (G): ∀L1,L2,T. L1 ≡[T] L2 → ⦃G, L1⦄ ⊢ ⬈[h, T] L2.
-/2 width=1 by lfeq_fwd_lfxs/ qed.
-
-(* Properties with unbound parallel rt-transition for full local envs *******)
-
-lemma lpx_lfpx: ∀h,G,L1,L2,T. ⦃G, L1⦄ ⊢ ⬈[h] L2 → ⦃G, L1⦄ ⊢ ⬈[h, T] L2.
-/2 width=1 by lfxs_lex/ qed.
-
-(* Inversion lemmas with unbound parallel rt-transition for full local envs *)
-
-lemma lfpx_inv_lpx_lfeq: ∀h,G,L1,L2,T. ⦃G, L1⦄ ⊢ ⬈[h, T] L2 →
- ∃∃L. ⦃G, L1⦄ ⊢ ⬈[h] L & L ≡[T] L2.
-/3 width=3 by lfpx_fsge_comp, lfxs_inv_lex_lfeq/ qed-.