- lpx and lpxs restored to prove equivalene between lfpxs and lpxs + lfeq

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / rt_computation / lfpxs_lpxs.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lfpxs_lpxs.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lfpxs_lpxs.ma
new file mode 100644 (file)
index 0000000..98f23af
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+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lfpxs_lpxs.ma
@@ -0,0 +1,38 @@
+(**************************************************************************)
+(*       ___                                                              *)
+(*      ||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/i_static/tc_lfxs_lex.ma".
+include "basic_2/rt_transition/lfpx_frees.ma".
+include "basic_2/rt_computation/lpxs.ma".
+include "basic_2/rt_computation/lfpxs.ma".
+
+(* UNCOUNTED PARALLEL RT-COMPUTATION FOR LOCAL ENV.S ON REFERRED ENTRIES ****)
+
+(* Properties with uncounted parallel rt-computation for local environments *)
+
+lemma lfpxs_lpxs_lfeq: ∀h,G,L1,L. ⦃G, L1⦄ ⊢ ⬈*[h] L →
+                       ∀L2,T. L ≡[T] L2 → ⦃G, L1⦄ ⊢ ⬈*[h, T] L2.
+/2 width=3 by tc_lfxs_lex_lfeq/ qed.
+
+(* Inversion lemmas with uncounted parallel rt-computation for local envs ***)
+
+lemma lpx_cpxs_ext_trans: ∀h,G. s_rs_transitive_isid cfull (cpx_ext h G).
+#H1 #H2 #H3 #H4 #H5 #H6 #H7 #H8 #H9 #H10
+
+
+lemma tc_lfxs_inv_lex_lfeq: ∀h,G,L1,L2,T. ⦃G, L1⦄ ⊢ ⬈*[h, T] L2 →
+                            ∃∃L. ⦃G, L1⦄ ⊢ ⬈*[h] L & L ≡[T] L2.
+#h #G @tc_lfxs_inv_lex_lfeq //
+[ @lfpx_frees_conf
+| @lpx_cpxs_ext_trans
\ No newline at end of file