theorem Th17: :: JORDAN18:17

for p being Point of (TOP-REAL 2)
for C being compact Subset of (TOP-REAL 2) st p in BDD C holds
( North-Bound (p,C) in C & North-Bound (p,C) in north_halfline p & South-Bound (p,C) in C & South-Bound (p,C) in south_halfline p )