theorem Th10: :: JORDAN7:10

for P being non empty compact Subset of (TOP-REAL 2)
for q1, q2, q3 being Point of (TOP-REAL 2) st P is being_simple_closed_curve & LE q1,q2,P & LE q2,q3,P & ( not q1 = q2 or not q1 = W-min P ) & ( not q2 = q3 or not q2 = W-min P ) holds
(Segment (q1,q2,P)) /\ (Segment (q2,q3,P)) = {q2}