test branch

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

diff --git a/helm/matita/tests/discriminate.ma b/helm/matita/tests/discriminate.ma
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+(**************************************************************************)
+(*       ___                                                              *)
+(*      ||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                  *)
+(*                                                                        *)
+(**************************************************************************)
+
+set "baseuri" "cic:/matita/tests/discriminate".
+include "legacy/coq.ma".
+alias id "not" = "cic:/Coq/Init/Logic/not.con".
+alias num (instance 0) = "natural number".
+alias symbol "eq" (instance 0) = "Coq's leibnitz's equality".
+
+inductive foo: Prop \def I_foo: foo.
+
+theorem stupid:
+  1 = 0 \to (\forall p:Prop. p \to not p).
+  intros.
+  generalize in match I_foo.
+  discriminate H.
+qed.
+
+inductive bar_list (A:Set): Set \def
+  | bar_nil: bar_list A
+  | bar_cons: A \to bar_list A \to bar_list A.
+
+alias id "False" = "cic:/Coq/Init/Logic/False.ind#xpointer(1/1)".
+theorem stupid2:
+  \forall A:Set.\forall x:A.\forall l:bar_list A.
+  bar_nil A = bar_cons A x l \to False.
+  intros.
+  discriminate H.
+qed.