test for deep subsumption added

diff --git a/helm/software/matita/tests/subsumption.ma b/helm/software/matita/tests/subsumption.ma
new file mode 100644 (file)
index 0000000..333afdc
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+++ b/helm/software/matita/tests/subsumption.ma
@@ -0,0 +1,54 @@
+(**************************************************************************)
+(*       ___                                                              *)
+(*      ||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 "logic/equality.ma".
+
+ntheorem foo :
+  ∀U : Type.
+  ∀a : U.
+ ∀b : U.
+  ∀f : U → U → U.
+  ∀g : U → U → U.
+  ∀H : ∀x.g x a = g a x.
+  ∃y,z. f (g y b) y = f (g z a) a.
+#U. #a. #b. #f. #g. #H.
+napply (ex_intro ????);
+##[ ##2: napply (ex_intro ????);
+         ##[ ##2: nauto by H. ##| ##skip ##] ##| ##skip ##] nqed. 
+         
+ntheorem foo1 :
+  ∀U : Type.
+  ∀a : U.
+ ∀b : U.
+  ∀f : U → U → U.
+  ∀g : U → U → U.
+  ∀H : ∀x.g x a = g a x.
+  ∃y,z. f y (g y b) = f a (g z a).
+#U. #a. #b. #f. #g. #H.
+napply (ex_intro ????);
+##[ ##2: napply (ex_intro ????);
+         ##[ ##2: nauto by H. ##| ##skip ##] ##| ##skip ##] nqed.
+         
+ntheorem foo2 :
+  ∀U : Type.
+  ∀a : U.
+ ∀b : U.
+  ∀f : U → U → U.
+  ∀g : U → U → U.
+  ∀H : ∀x.g x a = g a x.
+  ∃y,z. f (g z a) (g y b) = f (g y b) (g z a).
+#U. #a. #b. #f. #g. #H.
+napply (ex_intro ????);
+##[ ##2: napply (ex_intro ????);
+         ##[ ##2: nauto by H. ##| ##skip ##] ##| ##skip ##] nqed.
+                   
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