X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fng_TPTP%2FROB020-2.ma;h=f670b4209a870d1d9e833d9d0ba9dfada145799a;hb=0639dda9142d1cf047b07e61fb557e8877aba4d8;hp=4a2cf54652500561ffc31bbc386697649251e5fc;hpb=11e495dda047bcdfa4267c06cad2d074fcffe3e3;p=helm.git

diff --git a/helm/software/matita/contribs/ng_TPTP/ROB020-2.ma b/helm/software/matita/contribs/ng_TPTP/ROB020-2.ma
index 4a2cf5465..f670b4209 100644
--- a/helm/software/matita/contribs/ng_TPTP/ROB020-2.ma
+++ b/helm/software/matita/contribs/ng_TPTP/ROB020-2.ma
@@ -102,7 +102,7 @@ include "logic/equality.ma".
 
 (* -------------------------------------------------------------------------- *)
 ntheorem prove_idempotence:
- ∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ.
+ (∀Univ:Type.∀X:Univ.∀Y:Univ.∀Z:Univ.
 ∀a:Univ.
 ∀add:∀_:Univ.∀_:Univ.Univ.
 ∀b:Univ.
@@ -110,25 +110,24 @@ ntheorem prove_idempotence:
 ∀H0:eq Univ (negate (add a (negate b))) b.
 ∀H1:∀X:Univ.∀Y:Univ.eq Univ (negate (add (negate (add X Y)) (negate (add X (negate Y))))) X.
 ∀H2:∀X:Univ.∀Y:Univ.∀Z:Univ.eq Univ (add (add X Y) Z) (add X (add Y Z)).
-∀H3:∀X:Univ.∀Y:Univ.eq Univ (add X Y) (add Y X).∃X:Univ.eq Univ (add X X) X
+∀H3:∀X:Univ.∀Y:Univ.eq Univ (add X Y) (add Y X).∃X:Univ.eq Univ (add X X) X)
 .
-#Univ.
-#X.
-#Y.
-#Z.
-#a.
-#add.
-#b.
-#negate.
-#H0.
-#H1.
-#H2.
-#H3.
-napply ex_intro[
-nid2:
-nauto by H0,H1,H2,H3;
-nid|
-skip]
+#Univ ##.
+#X ##.
+#Y ##.
+#Z ##.
+#a ##.
+#add ##.
+#b ##.
+#negate ##.
+#H0 ##.
+#H1 ##.
+#H2 ##.
+#H3 ##.
+napply (ex_intro ? ? ? ?) ##[
+##2:
+nauto by H0,H1,H2,H3 ##;
+##| ##skip ##]
 nqed.
 
 (* -------------------------------------------------------------------------- *)