reserve n for Nat;

theorem
  for f be standard special unfolded non trivial FinSequence of
  TOP-REAL 2  st (f/.1 <> N-min L~f & f/.len f <> N-min L~f) or (f/.1 <> N-max
  L~f & f/.len f <> N-max L~f) holds N-min L~f <> N-max L~f
proof
  let f be standard special unfolded non trivial FinSequence of TOP-REAL 2;
  assume f/.1 <> N-min L~f & f/.len f <> N-min L~f or f/.1 <> N-max L~f & f/.
  len f <> N-max L~f;
  then (N-min L~f)`1 < (N-max L~f)`1 by Th8;
  hence thesis;
end;
