cpx_tsts completed

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

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpxs_cnx.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpxs_cnx.ma
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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                  *)
+(*                                                                        *)
+(**************************************************************************)
+
+include "basic_2/rt_transition/cnx_cnx.ma".
+include "basic_2/rt_computation/cpxs.ma".
+
+(* UNCOUNTED CONTEXT-SENSITIVE PARALLEL RT-COMPUTATION FOR TERMS ************)
+
+(* Inversion lemmas with normal terms ***************************************)
+
+lemma cpxs_inv_cnx1: ∀h,o,G,L,T1,T2. ⦃G, L⦄ ⊢ T1 ⬈*[h] T2 → ⦃G, L⦄ ⊢ ⬈[h, o] 𝐍⦃T1⦄ →
+                     T1 ≡[h, o] T2.
+#h #o #G #L #T1 #T2 #H @(cpxs_ind_dx … H) -T1
+/5 width=8 by cnx_tdeq_trans, tdeq_trans/
+qed-.