syntactic components detached from basic_2 become static_2

[helm.git] / matita / matita / contribs / lambdadelta / static_2 / syntax / cext2.ma

diff --git a/matita/matita/contribs/lambdadelta/static_2/syntax/cext2.ma b/matita/matita/contribs/lambdadelta/static_2/syntax/cext2.ma
new file mode 100644 (file)
index 0000000..8ccf4e9
--- /dev/null
+++ b/matita/matita/contribs/lambdadelta/static_2/syntax/cext2.ma
@@ -0,0 +1,33 @@
+(**************************************************************************)
+(*       ___                                                              *)
+(*      ||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 "static_2/syntax/ext2.ma".
+include "static_2/syntax/lenv.ma".
+
+(* EXTENSION TO BINDERS OF A CONTEXT-SENSITIVE RELATION FOR TERMS ***********)
+
+definition cext2: (lenv → relation term) → lenv → relation bind ≝
+                  λR,L. ext2 (R L).
+
+(* Basic properties *********************************************************)
+
+lemma cext2_sym: ∀R. (∀L1,L2,T1,T2. R L1 T1 T2 → R L2 T2 T1) →
+                 ∀L1,L2,I1,I2. cext2 R L1 I1 I2 → cext2 R L2 I2 I1.
+#R #HR #L1 #L2 #I1 #I2 * /3 width=2 by ext2_pair/
+qed-.
+
+lemma cext2_co: ∀R1,R2. (∀L,T1,T2. R1 L T1 T2 → R2 L T1 T2) →
+                ∀L,I1,I2. cext2 R1 L I1 I2 → cext2 R2 L I1 I2.
+#R1 #R2 #HR #L #I1 #I2 * /3 width=2 by ext2_unit, ext2_pair/
+qed-.