update in basic_2

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / rt_transition / lfpx_lpx.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/lfpx_lpx.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/lfpx_lpx.ma
new file mode 100644 (file)
index 0000000..034ce9c
--- /dev/null
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/lfpx_lpx.ma
@@ -0,0 +1,30 @@
+(**************************************************************************)
+(*       ___                                                              *)
+(*      ||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".
+
+(* UNCOUNTED PARALLEL RT-TRANSITION FOR LOCAL ENV.S ON REFERRED ENTRIES *****)
+
+(* Properties with uncounted parallel rt-transition for local environments **)
+
+lemma lfpx_lpx: ∀h,G,L1,L2,T. ⦃G, L1⦄ ⊢ ⬈[h] L2 → ⦃G, L1⦄ ⊢ ⬈[h, T] L2.
+/2 width=1 by lfxs_lex/ qed.
+
+(* Inversion lemmas with uncounted parallel rt-transition for 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-.