X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fnlibrary%2Ftopology%2Fcantor.ma;h=bd8a04a22804b12589685ceb9597e2159c0c8885;hb=7ae372991c6e02595c80bd4faaf437d39a965ce1;hp=f9655f4ca8f86dbcb36af2a5069679b193310ae9;hpb=1e16d80cc7bf9b73cf5526934b17e2ba955a522a;p=helm.git

diff --git a/helm/software/matita/nlibrary/topology/cantor.ma b/helm/software/matita/nlibrary/topology/cantor.ma
index f9655f4ca..bd8a04a22 100644
--- a/helm/software/matita/nlibrary/topology/cantor.ma
+++ b/helm/software/matita/nlibrary/topology/cantor.ma
@@ -87,8 +87,8 @@ ntheorem th3_1: ¬∃a:axs.Z ⊆ S a ∧ S a ⊆ Z.
 *; #a; *; #ZSa; #SaZ; 
 ncut (a ◃ Z); ##[
   nlapply (axiom_cond … a one); #AxCon; nchange in AxCon with (a ◃ S a);
-  (* nauto; *) napply (cover_monotone … AxCon); nassumption; ##] #H; 
-ncut (a ◃ ∅); ##[ napply (transitivity … H); #x; #E; napply E; ##] #H1;
+  napply (cover_monotone … AxCon); nassumption; ##] #H; 
+ncut (a ◃ ∅); ##[ napply (transitivity … H); nwhd in match Z; nauto; ##] #H1;
 ncut (¬ a ∈ S a); ##[ napply (col2_4 … H1); ##] #H2;
 ncut (a ∈ S a); ##[ napply ZSa; napply H1; ##] #H3;
 nauto;
@@ -133,12 +133,10 @@ nqed.
 ntheorem th_ch3: ¬∃a:caxs.∀x.ϕ a x = h x.
 *; #a; #H;
 ncut (a ◃ { x | x ◃ ∅}); ##[
-  napply (replace_char … { x | h x = O }); ##[ ##1,2: #x; ncases (Ph x);
-     (* nauto; *) #H1; #H2; #H3; nauto; (* ??? *) ##]
-  napply (replace_char … { x | ϕ a x = O }); ##[##1,2: #x; nrewrite > (H x);
-     (* nauto; *) #E; napply E; ##]
+  napply (replace_char … { x | h x = O }); ##[ ##1,2: #x; ncases (Ph x); nauto; ##]
+  napply (replace_char … { x | ϕ a x = O }); ##[##1,2: #x; nrewrite > (H x); nauto; ##]
   napply (axiom_cond … a one); ##] #H1;
-ncut (a ◃ ∅); ##[ napply (transitivity … H1); #x; nauto; ##] #H2;
+ncut (a ◃ ∅); ##[ napply (transitivity … H1); nauto; ##] #H2;
 nlapply (col2_4 …H2); #H3;
 ncut (a ∈ 𝐂 a one); ##[
   nnormalize; ncases (Ph a); nrewrite > (H a); nauto; ##] #H4;