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[helm.git] / matita / contribs / LAMBDA-TYPES / Unified-Sub / preamble4.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                  *)
+(*                                                                        *)
+(**************************************************************************)
+
+(* Project started Tue Aug 22, 2006 ***************************************)
+
+
+
+(* PREAMBLE
+*)
+
+include "logic/equality.ma".
+include "datatypes/Bool.ma".
+include "NPlus/monoid.ma".
+include "NLE/props.ma".
+include "NLE/nplus.ma".
+
+axiom f_equal_3: \forall (A,B,C,D:Set).
+                 \forall (f:A \to B \to C \to D). 
+                 \forall (x1,x2:A).
+                 \forall (y1,y2:B).
+                 \forall (z1,z2:C). 
+                 x1 = x2 \to y1 = y2 \to z1 = z2 \to 
+                 f x1 y1 z1 = f x2 y2 z2.