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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/reducibility/ltpr.ma".
include "basic_2/equivalence/lcpcs.ma".

(* CONTEXT-SENSITIVE PARALLEL EQUIVALENCE ON LOCAL ENVIRONMENTS *************)

(* Properties on context-free parallel reduction for local environments *****)

lemma ltpr_lcpcs: ∀L1,L2. L1 ➡ L2 → L1 ⊢ ⬌* L2.
#L1 #L2 #H elim H -L1 -L2 // /4 width=1/
qed.