diff --git a/inputs/lecture_13.tex b/inputs/lecture_13.tex
index ce293fc..df4ef00 100644
--- a/inputs/lecture_13.tex
+++ b/inputs/lecture_13.tex
@@ -294,8 +294,6 @@ as this would fail at $x_0$. This is a contradiction.
 \end{refproof}
 \begin{refproof}{genlevycontinuity}
     % TODO TODO TODO
-
-    
 \end{refproof}
 
 % IID is over now
diff --git a/inputs/lecture_23.tex b/inputs/lecture_23.tex
index 4575d1c..3d52b1e 100644
--- a/inputs/lecture_23.tex
+++ b/inputs/lecture_23.tex
@@ -85,7 +85,7 @@
     \item Examples:
         \begin{itemize}
             \item $(\delta_{\frac{1}{n}})_n$,
-            \item $(\frac{1}{2} \delta_{-\frac{1}{n}} + \frac{1}{2} \delta_{\frac{1}{n}}$,
+            \item $(\frac{1}{2} \delta_{-\frac{1}{n}} + \frac{1}{2} \delta_{\frac{1}{n}})_n$,
             \item $(\cN(0, \frac{1}{n}))_n$,
             \item $(\frac{1}{n} \delta_n + (1- \frac{1}{n}) \delta_{\frac{1}{n}})_n$.
         \end{itemize}