
theorem
  for f be non constant standard special_circular_sequence holds UBD L~f
  = RightComp f or UBD L~f = LeftComp f
proof
  let f be non constant standard special_circular_sequence;
  UBD L~f is_outside_component_of L~f by JORDAN2C:68;
  then UBD L~f is_a_component_of (L~f)` by JORDAN2C:def 3;
  hence thesis by JORDAN1H:24;
end;
