--- /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/rt_transition/lpx.ma".
+include "basic_2/rt_transition/cpm_cpx.ma".
+include "basic_2/rt_transition/lpr.ma".
+
+(* PARALLEL R-TRANSITION FOR FULL LOCAL ENVIRONMENTS ************************)
+
+(* Forward lemmas with unbound parallel rt-transition for ref local envs ****)
+
+(* Basic_2A1: was: lpr_lpx *)
+lemma lpr_fwd_lpx (h) (G): ∀L1,L2. ⦃G, L1⦄ ⊢ ➡[h] L2 → ⦃G, L1⦄ ⊢ ⬈[h] L2.
+/3 width=3 by cpm_fwd_cpx, lex_co/ qed-.