WIP WHAT ABOUT PROVING ALL THE TRAVERSAL RESULTS
+\subsection{Traversal Lemmas}
+
+Firstly, some lemmas.
+
+\statement{Tip Correct Contents}{
+ \tipcy \haspatch \pd
+ \equiv
+ \pc = \pd \lor \pc \hasdep \pd
+}
+\proof{
+ WIP
+}
+
\subsection{Base Dependency Merge, Base Sibling Merge}
We do not prove that the preconditions are met. Instead, we check
\subsection{Recreate Base Beginning}
+\subsubsection{Create Acyclic}
+$L = \tipdy$ so
\subsection{Tip Base Merge}