diff --git a/main.tex b/main.tex
index 9d1aa77b19ba65806e6e8d42baf9e67668dbba6e..51ee9e34b1bcd19d70da60c07ab80a86aa82b15a 100644
--- a/main.tex
+++ b/main.tex
@@ -1316,7 +1316,7 @@ and $\chern_2^B(v)$ are all strictly positive:
 	\item $R > 0$ from the setting of problem
 	\ref{problem:problem-statement-1}
 	\item $r > 0$ from lemma \ref{lem:num_test_prob1}
-	\item $\chern_2^B(v)$ because $B < \originalbeta_{-}$ due to the choice of $P$ being
+	\item $\chern_2^B(v)>0$ because $B < \originalbeta_{-}$ due to the choice of $P$ being
 	a point on $\Theta_v^{-}$
 \end{itemize}