  By H. Strietz, 1975, and G. Cz\'edli, 1996, the complete lattice $Equ(A)$ of
all equivalences is four-generated, provided the size $|A|$ is an accessible
cardinal. Results of I. Chajda and G. Cz\'edli, 1996, G. Tak\'ach, 1996, T.
Dolgos, 2015, and J.\ Kulin 2016, show that both the lattice $Quo(A)$ of all
quasiorders on $A$ and, for $|A|\leq \aleph_0$, the lattice $Tran(A)$ of all
transitive relations on $A$ have small generating sets. Based on complicated
earlier constructions, we derive some new results in a concise but not
self-contained way.
