Added path lemma.

src/fa/lc/inductive.tex

@@ -268,3 +268,16 @@
 
     which contradicts the fact that $(F_n + U) \cap E_n = \emptyset$.
 \end{proof}
+
+\begin{definition}[Space of Type (LB)]
+\label{definition:lb-space}
+    Let $E$ be a locally convex space, then $E$ is of type \textbf{(LB)} if $E$ is the strict inductive limit of a countable system of Banach spaces. 
+\end{definition}
+
+\begin{definition}[Space of Type (LF)]
+\label{definition:lf-space}
+    Let $E$ be a locally convex space, then $E$ is of type \textbf{(LF)} if $E$ is the strict inductive limit of a countable system of Fréchet spaces. 
+\end{definition}
+
+
+