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[helm.git] / matita / tests / naiveparamod.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                  *)
+(*                                                                        *)
+(**************************************************************************)
+
+
+
+include "logic/equality.ma".
+
+inductive TT : Prop \def II:TT.
+
+theorem prova1: 
+  \forall A,B,C:Prop.
+  \forall S:Set.
+  \forall a:B -> A.
+  \forall w:B \to Prop.
+  \forall h:(A -> \forall x:B. w x -> TT -> C).
+  \forall b:B.
+  \forall s:S.
+  \forall wb:w b. (* ASK ANDREA: what if b1 *)
+  C.
+  intros (A B C S a w h b wb).
+  (* exact (h s (a b) b wb II). *)
+  autobatch width = 5 depth = 3. (* look at h parameters! *)
+  qed.
+  
+(* c'e' qualcosa di imperativo, se si cambia l'ordine delle ipotesi poi sclera *)
+theorem prova2: 
+  \forall A,B,C:Prop. (* SE METTO SET NON VA *)
+  \forall a:B -> A.
+  \forall h:A -> B -> A = B.
+  (* \forall h:A -> C -> A = B. *)
+  \forall b:B.
+  A=B.
+  intros.
+  autobatch.
+  try assumption.
+  qed.
\ No newline at end of file