Trivial by Foreign Unaffected and the definition of $\pends$
}
-It might seem that bare git commits might also be psuedo-merges ---
+It might seem that foreign commits might also be psuedo-merges ---
e.g., merges made directly with {\tt git merge -s ours}. However, by
our definition of $\has$, these are considered simply as normal merges
(\autoref{commit-merge}).
\subsection{Unique Base}
-Not applicable, by Base Only.
+Not applicable, by Base Only. $\qed$
\subsection{Tip Contents}
-Not applicable, by Base Only.
+Not applicable, by Base Only. $\qed$
\subsection{Base Acyclic}
\subsection{Foreign Inclusion}
-True by Foreign Identical, and Foreign Inclusion of $L$.
+We need to consider $D \in \foreign$.
+
+For $D = C$: $D \has C$, $D \le C$; OK.
+
+For $D \neq C$: $D \has C \equiv D \has L$ by construction.
+$D \has L \equiv D \le L$ by Foreign Inclusion of $L$.
+$D \neq C$ so this $D \le L \equiv D \le C$.
+
+$\qed$
\subsection{Foreign Ancestry}
\pdn$ so Bases' Children does not apply.
Other possibilities for $D \in \set R$ are excluded by Ingredients.
+
+$\qed$