diff --git a/src/fa/lc/convex.tex b/src/fa/lc/convex.tex
index 8a738ce..e54a207 100644
--- a/src/fa/lc/convex.tex
+++ b/src/fa/lc/convex.tex
@@ -112,7 +112,7 @@
 
 \begin{lemma}
 \label{lemma:continuous-seminorm}
-    Let $E$ be a TVS over $K \in \RC$ and $[\cdot]: E \times E \to [0, \infty)$ be a seminorm on $E$, then the following are equivalent:
+    Let $E$ be a TVS over $K \in \RC$ and $[\cdot]: E \to [0, \infty)$ be a seminorm on $E$, then the following are equivalent:
     \begin{enumerate}
         \item $[\cdot]$ is uniformly continuous.
         \item $[\cdot]$ is continuous.