theorem :: SPRECT_3:52

for f, g being FinSequence of (TOP-REAL 2)
for p being Point of (TOP-REAL 2) st g is_in_the_area_of f & <*p*> is_in_the_area_of f & g is being_S-Seq & p in L~ g holds
R_Cut (g,p) is_in_the_area_of f