theorem Th47: :: PSCOMP_1:47

for p being Point of (TOP-REAL 2)
for Z being non empty Subset of (TOP-REAL 2) st p in E-most Z holds
( p `1 = (E-min Z) `1 & ( Z is compact implies ( (E-min Z) `2 <= p `2 & p `2 <= (E-max Z) `2 ) ) )