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 Th56:
  S-min L~f <> S-max L~f
proof
  (S-min L~f)`1 < (S-max L~f)`1 by Th55;
  hence thesis;
end;
