Used "separated" instead of Hausdorff in the context of topological vector spaces.

src/fa/tvs/continuous.tex

@@ -54,7 +54,7 @@
 
 \begin{theorem}[Linear Extension Theorem (TVS)]
 \label{theorem:linear-extension-theorem-tvs}
-    Let $E$ be a TVS over $K \in \RC$, $F$ be a complete Hausdorff TVS over $K$, $D \subset E$ be a dense subspace, and $T \in L(D; F)$, then:
+    Let $E$ be a TVS over $K \in \RC$, $F$ be a complete separated TVS over $K$, $D \subset E$ be a dense subspace, and $T \in L(D; F)$, then:
     \begin{enumerate}
         \item There exists an extension $\ol T \in L(E; F)$ such that $\ol T|_D = T$.
         \item[(U)] For any $S \in C(E; F)$ satisfying (1), $S = \ol T$.