reserve i,j,k,n,m for Nat;

theorem
  for p,q being Point of TOP-REAL n st p = 1/2*(p+q) holds p = q
proof
  let p,q be Point of TOP-REAL n;
  assume p = 1/2*(p+q);
  then p = (1 - 1/2)*p + 1/2*q by RLVECT_1:def 5;
  hence thesis by Th3;
end;
