Arguing for the Extended Projection Principle (EPP)--the subject position must be filled in overt syntax, Lasnik and Park (L&P, 2003) claim that the Subject Condition effect in sluices is derived from a PF chain processing mechanism on the first chain first processing basis. This paper, however, argues that this should be achieved through the opposite ordering of chain processing to avoid problems arising from L&P. Pointing out that the Subject Condition conceived as a condition on derivation is needed, this paper proposes alternative derivation of the sluices involving PP extraction out of subject that can avoid a violation of the Subject Condition. The representation resulting from this alternative derivation is then subject to a condition similar to the Proper Binding Condition, and the redemption effect in sluices is thus naturally obtained by Sluicing. This paper also offers a possibility of deriving the EPP effect from the Case Filter differently from L&P.