Kornai 2006 discusses the use of self-conjoined constraints in the complexity proof of Idsardi 2006. Kornai points out that if self-conjoined constraints are restricted to small finite sets and domains then the force of the proof is blunted, and conjectures that self-conjoined constraints are limited to bounded domains and nodes in the feature geometry. This paper summarizes the use of self-conjoined constraints in Ito and Mester 2003 and other works, and shows that current OT practice does not limit conjoined constraints in the suggested ways.