theorem :: GOBRD14:1
for f being non constant standard special_circular_sequence
for P being Subset of (TOP-REAL 2)
for p being Point of (Euclid 2) st p = 0.REAL 2 & P is_outside_component_of L~ f holds
ex r being Real st
( r > 0 & (Ball (p,r)) ` c= P )