reserve C for Simple_closed_curve,
  p,q,p1 for Point of TOP-REAL 2,
  i,j,k,n for Nat,
  r,s for Real;

theorem Th6:
  q in Upper_Arc C implies LE q, E-max C, C
proof
A1: E-max C in Lower_Arc C by JORDAN7:1;
  E-max C <> W-min C by TOPREAL5:19;
  hence thesis by A1,JORDAN6:def 10;
end;
