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[helm.git] / matita / tests / tacticals.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                  *)
+(*                                                                        *)
+(**************************************************************************)
+
+
+
+inductive myand (A, B: Prop) : Prop \def
+ | myconj : ∀a:A.∀b:B. myand A B. 
+ 
+lemma prova: 
+  ∀A,B,C,D:Prop.∀a:A.∀b:B.∀c:C.∀d:D.myand (myand A B) (myand C D).
+  intros; try (apply myconj); try assumption; try (apply myconj);
+  try assumption.
+qed.
+
+lemma prova2: 
+  ∀A,B,C,D:Prop.∀a:A.∀b:B.∀c:C.∀d:D.myand (myand A B) (myand C D).
+  intros; progress (apply myconj; apply myconj);
+  solve [assumption].
+qed.  
+
+lemma prova3: 
+  ∀A,B,C,D:Prop.∀a:A.∀b:B.∀c:C.∀d:D.myand (myand A B) (myand C D).
+  intros; repeat first [ assumption | apply myconj].
+qed.
+
+lemma prova4: 
+ ∀A,B,C,D:Prop.∀a:A.∀b:B.∀c:C.∀d:D.myand (myand A B) (myand C D).
+  intros;
+  repeat apply myconj;
+  assumption.
+qed.
+
+lemma prova6: 
+  ∀A,B,C,D:Prop.∀a:A.∀b:B.∀c:C.∀d:D.myand (myand A B) (myand C D).
+  intros; apply myconj;  
+  [1:repeat (constructor 1; try assumption)
+  |2:repeat (constructor 1; try assumption)
+  ]
+qed.
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