\right]
\implies
\left[
- \bigforall_{D \text{ s.t. } \isforeign{D}}
+ \bigforall_{D \in \foreign}
D \isin C \equiv D \le C
\right]
$$
\proof{
-Consider some $D$ s.t. $\isforeign{D}$.
+Consider some $D \in \foreign$.
If $D = C$, trivially true. For $D \neq C$,
by Foreign Inclusion of $D$ in $L$, $D \isin L \equiv D \le L$.
And by Exact Ancestors $D \le L \equiv D \le C$.