theorem Th12:
for
v being
object for
V,
A being
set for
d1 being
NonatomicND of
V,
A for
d2 being
TypeSCNominativeData of
V,
A st
v in V & not
v in dom d1 & not
d1 in A & not
naming (
V,
A,
v,
d2)
in A holds
dom (local_overlapping (V,A,d1,d2,v)) = {v} \/ (dom d1)