theorem Th19: :: JORDAN3:19

for f, g being FinSequence of (TOP-REAL 2)
for p being Point of (TOP-REAL 2) st f is being_S-Seq & p in L~ f & p <> f . 1 & g = (mid (f,1,(Index (p,f)))) ^ <*p*> holds
g is_S-Seq_joining f /. 1,p