syntactic components detached from basic_2 become static_2

[helm.git] / matita / matita / contribs / lambdadelta / static_2 / static / lsuba_lsuba.ma

diff --git a/matita/matita/contribs/lambdadelta/static_2/static/lsuba_lsuba.ma b/matita/matita/contribs/lambdadelta/static_2/static/lsuba_lsuba.ma
new file mode 100644 (file)
index 0000000..fd353c3
--- /dev/null
+++ b/matita/matita/contribs/lambdadelta/static_2/static/lsuba_lsuba.ma
@@ -0,0 +1,36 @@
+(**************************************************************************)
+(*       ___                                                              *)
+(*      ||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/static/lsuba_aaa.ma".
+
+(* RESTRICTED REFINEMENT FOR ATOMIC ARITY ASSIGNMENT ************************)
+
+(* Main properties **********************************************************)
+
+theorem lsuba_trans: ∀G. Transitive … (lsuba G).
+#G #L1 #L #H elim H -L1 -L
+[ #X #H >(lsuba_inv_atom1 … H) -H //
+| #I #L1 #L #HL1 #IHL1 #Y #H
+  elim (lsuba_inv_bind1 … H) -H * #L2
+  [ #HL2 #H destruct /3 width=1 by lsuba_bind/
+  | #W #V #A #HV #HW #HL2 #H1 #H2 destruct
+    /3 width=3 by lsuba_beta, lsuba_aaa_trans/
+  ]
+| #L1 #L #W #V #A #HV #HW #HL1 #IHL1 #Y #H
+  elim (lsuba_inv_bind1 … H) -H * #L2
+  [ #HL2 #H destruct /3 width=5 by lsuba_beta, lsuba_aaa_conf/
+  | #W0 #V0 #A0 #_ #_ #_ #H destruct
+  ]
+]
+qed-.