+++ /dev/null
-(**************************************************************************)
-(* ___ *)
-(* ||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/demodulation_matita/".
-
-include "nat/minus.ma".
-
-theorem p2: \forall x,y:nat. x+x = (S(S O))*x.
-intros.demodulate.reflexivity.
-qed.
-
-theorem p4: \forall x:nat. (x+(S O))*(x-(S O))=x*x - (S O).
-intro.
-apply (nat_case x)
-[simplify.reflexivity
-|intro.demodulate.reflexivity]
-qed.
-
-theorem p5: \forall x,y:nat. (x+y)*(x+y) = x*x + (S(S O))*(x*y) + (y*y).
-intros.demodulate.reflexivity.
-qed.
-