\[\eqn{Coherence:}{
\bigforall_{C,\p} C \haspatch \p \lor C \nothaspatch \p
}\]
+\[\eqn{Unique Tips:}{
+ \bigforall_{C,\p} C \haspatch \p \implies \pendsof{C}{\p} = \{ T \}
+}\]
\[\eqn{Foreign Inclusion:}{
\bigforall_{D \text{ s.t. } \patchof{D} = \bot} D \isin C \equiv D \leq C
}\]