renaming in basic_2

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

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/rpx_lpx.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/rpx_lpx.ma
new file mode 100644 (file)
index 0000000..5850784
--- /dev/null
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/rpx_lpx.ma
@@ -0,0 +1,35 @@
+(**************************************************************************)
+(*       ___                                                              *)
+(*      ||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/rex_lex.ma".
+include "basic_2/rt_transition/rpx_fsle.ma".
+include "basic_2/rt_transition/lpx.ma".
+
+(* UNBOUND PARALLEL RT-TRANSITION FOR REFERRED LOCAL ENVIRONMENTS ***********)
+
+(* Properties with syntactic equivalence for referred local environments ****)
+
+lemma fleq_rpx (h) (G): ∀L1,L2,T. L1 ≡[T] L2 → ⦃G, L1⦄ ⊢ ⬈[h, T] L2.
+/2 width=1 by req_fwd_rex/ qed.
+
+(* Properties with unbound parallel rt-transition for full local envs *******)
+
+lemma lpx_rpx: ∀h,G,L1,L2,T. ⦃G, L1⦄ ⊢ ⬈[h] L2 → ⦃G, L1⦄ ⊢ ⬈[h, T] L2.
+/2 width=1 by rex_lex/ qed.
+
+(* Inversion lemmas with unbound parallel rt-transition for full local envs *)
+
+lemma rpx_inv_lpx_req: ∀h,G,L1,L2,T. ⦃G, L1⦄ ⊢ ⬈[h, T] L2 →
+                       ∃∃L. ⦃G, L1⦄ ⊢ ⬈[h] L & L ≡[T] L2.
+/3 width=3 by rpx_fsge_comp, rex_inv_lex_req/ qed-.