theorem Th11:
for
P being
Subset of the
carrier of
(TOP-REAL 2) for
p1,
p2,
q1,
q2 being
Point of
(TOP-REAL 2) st
P is_an_arc_of p1,
p2 &
p1 <> q1 &
p2 <> q2 holds
( not
p1 in Segment (
P,
p1,
p2,
q1,
q2) & not
p2 in Segment (
P,
p1,
p2,
q1,
q2) )