X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;ds=sidebyside;f=helm%2Fmatita%2Flibrary%2FZ%2Fcompare.ma;h=1bf4f066abe593fc886dab62f61b3a48f342101e;hb=a6378eaf623f898f8cbea4381a1ea7132146c8c2;hp=a8f8aca3918f12c1a7a60fb475338a81da32dfbe;hpb=78044035b4419e569df0d7f6a7f96fa32d21a19d;p=helm.git

diff --git a/helm/matita/library/Z/compare.ma b/helm/matita/library/Z/compare.ma
index a8f8aca39..1bf4f066a 100644
--- a/helm/matita/library/Z/compare.ma
+++ b/helm/matita/library/Z/compare.ma
@@ -14,8 +14,6 @@
 
 set "baseuri" "cic:/matita/Z/compare".
 
-include "datatypes/bool.ma".
-include "datatypes/compare.ma".
 include "Z/orders.ma".
 include "nat/compare.ma".
 
@@ -43,7 +41,7 @@ theorem eqZb_to_Prop:
 \forall x,y:Z. 
 match eqZb x y with
 [ true \Rightarrow x=y
-| false \Rightarrow \lnot x=y].
+| false \Rightarrow x \neq y].
 intros.
 elim x.
   elim y.
@@ -65,12 +63,12 @@ elim x.
 qed.
 
 theorem eqZb_elim: \forall x,y:Z.\forall P:bool \to Prop.
-(x=y \to (P true)) \to (\lnot x=y \to (P false)) \to P (eqZb x y).
+(x=y \to (P true)) \to (x \neq y \to (P false)) \to P (eqZb x y).
 intros.
 cut 
 match (eqZb x y) with
 [ true \Rightarrow x=y
-| false \Rightarrow \lnot x=y] \to P (eqZb x y).
+| false \Rightarrow x \neq y] \to P (eqZb x y).
 apply Hcut.
 apply eqZb_to_Prop.
 elim (eqZb).