update in lambdadelta

[helm.git] / matita / matita / contribs / lambdadelta / basic_2A / reduction / cnr_cir.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2A/reduction/cnr_cir.ma b/matita/matita/contribs/lambdadelta/basic_2A/reduction/cnr_cir.ma
new file mode 100644 (file)
index 0000000..786611f
--- /dev/null
+++ b/matita/matita/contribs/lambdadelta/basic_2A/reduction/cnr_cir.ma
@@ -0,0 +1,28 @@
+(**************************************************************************)
+(*       ___                                                              *)
+(*      ||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_2A/reduction/cpr_cir.ma".
+include "basic_2A/reduction/cnr_crr.ma".
+
+(* NORMAL TERMS FOR CONTEXT-SENSITIVE REDUCTION *****************************)
+
+(* Main properties on irreducibility ****************************************)
+
+theorem cir_cnr: ∀G,L,T. ⦃G, L⦄ ⊢ ➡ 𝐈⦃T⦄ → ⦃G, L⦄ ⊢ ➡ 𝐍⦃T⦄.
+/2 width=4 by cpr_fwd_cir/ qed.
+
+(* Main inversion lemmas on irreducibility **********************************)
+
+theorem cnr_inv_cir: ∀G,L,T. ⦃G, L⦄ ⊢ ➡ 𝐍⦃T⦄ → ⦃G, L⦄ ⊢ ➡ 𝐈⦃T⦄.
+/2 width=5 by cnr_inv_crr/ qed-.