for n being Element of NAT
for P being Subset of (TOP-REAL n)
for p1, p2 being Point of (TOP-REAL n) st P is_an_arc_of p1,p2 holds
ex f being Function of I[01],(TOP-REAL n) st
( f is continuous & f is one-to-one & rng f = P & f . 0 = p1 & f . 1 = p2 )