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(*       ___                                                              *)
(*      ||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                  *)
(*                                                                        *)
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include "basic_2/rt_transition/lfpx.ma".
include "basic_2/rt_transition/cpm_cpx.ma".
include "basic_2/rt_transition/lfpr.ma".

(* PARALLEL R-TRANSITION FOR LOCAL ENV.S ON REFERRED ENTRIES ****************)

(* Fwd. lemmas with unc. rt-transition for local env.s on referred entries **)

(* Basic_2A1: uses: lpr_lpx *)
lemma lfpr_fwd_lfpx: ∀h,T,G,L1,L2. ⦃G, L1⦄ ⊢ ➡[h, T] L2 → ⦃G, L1⦄ ⊢ ⬈[h, T] L2.
/3 width=3 by cpm_fwd_cpx, lfxs_co/ qed-.