Cleanup

src/measure/bochner-integral/index.tex

@@ -1,4 +1,4 @@
 \chapter{The Bochner Integral}
 \label{chap:bochner-integral}
 
-\input{./src/measure/bochner-integral/strongly.tex}
+\input{./strongly.tex}

src/measure/bochner-integral/strongly.tex

@@ -17,11 +17,12 @@
 \begin{proof}
     (1) $\Rightarrow$ (2): TODO
 
-    (2) $\Rightarrow$ (3): By \ref{proposition:measurable-simple-separable-norm}.
+    (2) $\Rightarrow$ (3): By \autoref{proposition:measurable-simple-separable-norm}.
 
-    (3) $\Rightarrow$ (1): For each $\phi \in E^*$, $\phi \circ f = \limv{n}\phi \circ f_n$ is measurable by \ref{proposition:limit-measurable}. Since
+    (3) $\Rightarrow$ (1): For each $\phi \in E^*$, $\phi \circ f = \limv{n}\phi \circ f_n$ is measurable by \autoref{proposition:limit-measurable}. Since
     \[
     f(X) \subset \ol{\bigcup_{n \in \natp}f_n(X)}
     \]
+
     and each $f_n$ is finitely-valued, $f(X)$ is separable.
 \end{proof}