Relation WEAK-CONTACT

Two objects x and y have weak contact when their complements are not connected and y is connected to the complement of any interior which x is part of. Granularity refinement ('microscopization') eliminates weak contact relations, while this does not happen with external connection, which could be renamed 'strong-contact'.
Arity: 2
Subrelation-Of: Topological-relation
Axioms:
(=> (Weak-Contact ?A ?B)
    (And (Not (Exists (?C ?D)
                      (And (T-Complement ?B ?D)
                           (T-Complement ?A ?C)
                           (Connected ?C ?D))))
         (Forall (?Z)
                 (=> (Exists (?E)
                             (And (Interior ?Z ?E) (Part-Of ?A ?E)))
                     (Exists (?F)
                             (And (T-Complement ?Z ?F)
                                  (Connected ?F ?B)))))))