theorem Th55: :: PSCOMP_1:55

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