}\]
\[ \eqn{ Foreign Unaffected }{
- \bigforall_{ D \text{ s.t. } \patchof{D} = \bot }
+ \bigforall_{ D \in \foreign }
\left[ \bigexists_{A \in \set A} D \le A \right]
\implies
D \le L
\subsection{Lemma: Foreign Identical}
-$\patchof{D} = \bot \implies \big[ D \le C \equiv D \le L \big]$.
+$\isforeign{D} \implies \big[ D \le C \equiv D \le L \big]$.
\proof{
If $D \le L$, trivially $D \le C$; so conversely