--- /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/relocation/drops_lex.ma".
+include "basic_2/rt_transition/cpm_drops.ma".
+include "basic_2/rt_transition/lpr.ma".
+
+(* PARALLEL R-TRANSITION FOR FULL LOCAL ENVIRONMENTS ************************)
+
+(* Properties with generic slicing for local environments *******************)
+
+(* Basic_2A1: was: drop_lpr_trans *)
+lemma drops_lpr_trans (h) (G): dedropable_sn (λL. cpm h G L 0).
+/3 width=6 by lex_liftable_dedropable_sn, cpm_lifts_sn/ qed-.
+
+(* Inversion lemmas with generic slicing for local environments *************)
+
+(* Basic_1: includes: wcpr0_drop *)
+(* Basic_2A1: was: lpr_drop_conf *)
+lemma lpr_drops_conf (h) (G): dropable_sn (λL. cpm h G L 0).
+/2 width=3 by lex_dropable_sn/ qed-.
+
+(* Basic_1: includes: wcpr0_drop_back *)
+(* Basic_2A1: was: lpr_drop_trans_O1 *)
+lemma lpr_drops_trans (h) (G): dropable_dx (λL. cpm h G L 0).
+/2 width=3 by lex_dropable_dx/ qed-.