2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/95030We present preservation theorems for countable support iteration of nep forcing notions satisfying ``old reals are not Lebesgue null'' and ``old reals are not meager''. (Nep is a generalization of Suslin proper.) We also give some results for general Suslin ccc ideals.Logic03E35; 03E40text