  Let $L$ be a finite lattice and let $I$ be an ideal of $L$. Then the
restriction map is a bounded lattice homomorphism of the congruence lattice
of~$L$ into the congruence lattice of $I$. In a 2009 paper, the authors proved
the converse.
  In a 2012 paper, G. Cz\'edli proved an analogous result for rectangular
lattices. In this paper, we prove a stronger form of Cz\'edli's result and
provide a short, elementary, and direct proof.
