theorem Th18:
for
v,
x being
object for
V,
A being
set for
p being
SCPartialNominativePredicate of
V,
A holds
( not
x in dom (SC_exists (p,v)) or ex
d1 being
TypeSCNominativeData of
V,
A st
(
local_overlapping (
V,
A,
x,
d1,
v)
in dom p &
p . (local_overlapping (V,A,x,d1,v)) = TRUE ) or for
d1 being
TypeSCNominativeData of
V,
A holds
(
local_overlapping (
V,
A,
x,
d1,
v)
in dom p &
p . (local_overlapping (V,A,x,d1,v)) = FALSE ) )