
theorem
  for P being Subset of TOP-REAL 2, p1,p2 being Point of TOP-REAL 2 st P
  is_an_arc_of p1,p2 holds LE p1,p2,P,p1,p2
proof
  let P be Subset of TOP-REAL 2, p1,p2 be Point of TOP-REAL 2;
  assume
A1: P is_an_arc_of p1,p2;
  then p2 in P by TOPREAL1:1;
  hence thesis by A1,Th10;
end;
