milestone update in ground_2 and basic_2A

[helm.git] / matita / matita / contribs / lambdadelta / basic_2A / etc / cny / cpys_cny.etc

diff --git a/matita/matita/contribs/lambdadelta/basic_2A/etc/cny/cpys_cny.etc b/matita/matita/contribs/lambdadelta/basic_2A/etc/cny/cpys_cny.etc
new file mode 100644 (file)
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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/relocation/cny.ma".
+include "basic_2/substitution/cpys.ma".
+
+(* CONTEXT-SENSITIVE EXTENDED MULTIPLE SUBSTITUTION FOR TERMS ***************)
+
+(* Inversion lemmas on normality for extended substitution ******************)
+
+lemma cpys_inv_cny1: ∀G,L,T1,d,e. ⦃G, L⦄ ⊢ ▶[d, e] 𝐍⦃T1⦄ →
+                     ∀T2. ⦃G, L⦄ ⊢ T1 ▶*[d, e] T2 → T1 = T2.
+#G #L #T1 #d #e #HT1 #T2 #H @(cpys_ind … H) -T2 //
+#T #T2 #_ #HT2 #IHT1 destruct <(HT1 … HT2) -T //
+qed-.