update in ground_2 static_2 basic_2

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / etc / cpue / cnu_cnr.etc

diff --git a/matita/matita/contribs/lambdadelta/basic_2/etc/cpue/cnu_cnr.etc b/matita/matita/contribs/lambdadelta/basic_2/etc/cpue/cnu_cnr.etc
new file mode 100644 (file)
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--- /dev/null
+++ b/matita/matita/contribs/lambdadelta/basic_2/etc/cpue/cnu_cnr.etc
@@ -0,0 +1,37 @@
+(**************************************************************************)
+(*       ___                                                              *)
+(*      ||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/cnr.ma".
+include "basic_2/rt_transition/cnu.ma".
+
+(* NORMAL TERMS FOR T-UNUNBOUND RT-TRANSITION *******************************)
+
+(* Advanced properties with normal terms for r-transition *******************)
+
+lemma cnu_abst (h) (p) (G) (L):
+      ∀W. ⦃G,L⦄ ⊢ ➡[h] 𝐍⦃W⦄ → ∀T.⦃G,L.ⓛW⦄ ⊢ ⥲[h] 𝐍⦃T⦄ → ⦃G,L⦄ ⊢ ⥲[h] 𝐍⦃ⓛ{p}W.T⦄.
+#h #p #G #L #W1 #HW1 #T1 #HT1 #n #X #H
+elim (cpm_inv_abst1 … H) -H #W2 #T2 #HW12 #HT12 #H destruct
+<(HW1 … HW12) -W2 /3 width=2 by tueq_bind/
+qed.
+
+lemma cnu_abbr_neg (h) (G) (L):
+      ∀V. ⦃G,L⦄ ⊢ ➡[h] 𝐍⦃V⦄ → ∀T.⦃G,L.ⓓV⦄ ⊢ ⥲[h] 𝐍⦃T⦄ → ⦃G,L⦄ ⊢ ⥲[h] 𝐍⦃-ⓓV.T⦄.
+#h #G #L #V1 #HV1 #T1 #HT1 #n #X #H
+elim (cpm_inv_abbr1 … H) -H *
+[ #V2 #T2 #HV12 #HT12 #H destruct
+  <(HV1 … HV12) -V2 /3 width=2 by tueq_bind/
+| #X1 #_ #_ #H destruct
+]
+qed.