branch for universe

[helm.git] / matita / tests / fix_betareduction.ma

diff --git a/matita/tests/fix_betareduction.ma b/matita/tests/fix_betareduction.ma
new file mode 100644 (file)
index 0000000..cf85e58
--- /dev/null
+++ b/matita/tests/fix_betareduction.ma
@@ -0,0 +1,27 @@
+(**************************************************************************)
+(*       ___                                                              *)
+(*      ||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 "coq.ma".
+
+alias id "eq" = "cic:/Coq/Init/Logic/eq.ind#xpointer(1/1)".
+alias id "n" = "cic:/Suresnes/BDD/canonicite/Canonicity_BDT/n.con".
+alias id "nat" = "cic:/Coq/Init/Datatypes/nat.ind#xpointer(1/1)".
+theorem a: 
+  (\forall p: nat \to Prop.
+  \forall n: nat. p n \to p n ) \to (eq nat n n).
+intro.
+apply (H (\lambda n:nat.(eq nat n n))).
+reflexivity.
+qed.