test branch

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

diff --git a/helm/matita/tests/change.ma b/helm/matita/tests/change.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/change/".
+include "legacy/coq.ma".
+alias num (instance 0) = "natural number".
+alias symbol "eq" (instance 0) = "Coq's leibnitz's equality".
+alias symbol "plus" (instance 0) = "Coq's natural plus".
+alias id "nat" = "cic:/Coq/Init/Datatypes/nat.ind#xpointer(1/1)".
+
+theorem stupid: 
+  \forall a:nat.
+  a = 5 \to 
+  (3 + 2) = a.
+intros.
+change in \vdash (? ? % ?) with 5.
+rewrite < H in \vdash (? ? % ?). 
+reflexivity.
+qed.
+
+(* tests changing a term under a binder *)
+alias id "True" = "cic:/Coq/Init/Logic/True.ind#xpointer(1/1)".
+theorem t: (\forall x:nat. x=x) \to True.
+ intro H.
+ change in match x in H : (\forall _.%) with (0+x).
+ change in H: (\forall _.(? ? ? (? % ?))) with 0.
+ constructor 1.
+qed.
+