theorem Th82: :: JORDAN1A:82

for n being Nat
for C being connected compact non horizontal non vertical Subset of (TOP-REAL 2)
for p, x being Point of (TOP-REAL 2) st x in N-most C & p in (north_halfline x) /\ (L~ (Cage (C,n))) holds
p `2 = N-bound (L~ (Cage (C,n)))