reserve i,j,k,l,m,n for Nat,
  D for non empty set,
  f for FinSequence of D;
reserve X for compact Subset of TOP-REAL 2;
reserve r for Real;
reserve f for non trivial FinSequence of TOP-REAL 2;
reserve f for non constant standard special_circular_sequence;

theorem Th52:
  N-min L~f <> N-max L~f
proof
  (N-min L~f)`1 < (N-max L~f)`1 by Th51;
  hence thesis;
end;
