-\section{Dependency Insertion}
-
-Given $L$ construct $C$ which additionally
-contains $\pr$ as represented by $R^+$ and $R^-$.
-This may even be used for reintroducing a previous-removed branch
-dependency.
-\gathbegin
- C \hasparents \{ L, R^+ \}
-\gathnext
- \patchof{C} = \patchof{L}
-\gathnext
- \mergeof{C}{L}{R^-}{R^+}
-\end{gather}
-
-\subsection{Conditions}
-
-\[ \eqn{ Ingredients }{
- R^- = \baseof{R^+}
-}\]
-\[ \eqn{ Into Base }{
- L \in \pqn
-}\]
-\[ \eqn{ Currently Excluded }{
- L \nothaspatch \pry
-}\]
-\[ \eqn{ Insertion Acyclic }{
- R^+ \nothaspatch \pq
-}\]
-
-\subsection{No Replay}
-
-By $\merge$,
-$D \isin C \implies D \isin L \lor D \isin R^+ \lor D = C$.
-So Ingredients Prevent Replay applies. $\qed$
-
-\subsection{Unique Base}
-
-Not applicable.
-
-\subsection{Tip Contents}
-
-Not applicable.
-
-\subsection{Base Acyclic}
-
-Consider some $D \isin C$. We will show that $D \not\in \pqy$.
-By $\merge$, $D \isin L \lor D \isin R^+ \lor D = C$.
-
-For $D \isin L$, Base Acyclic for L suffices. For $D \isin R^+$,
-Insertion Acyclic suffices. For $D = C$, trivial. $\qed$.
-
-\subsection{Coherence}
-
-We consider some $D \in \py$.
-
-\subsubsection{For $\p = \pq$:}
-
-xxx up to here
-
-$D \not\isin L$, $D \not\isin $
-