  $n$-exangulated categories were introduced by Herschend-Liu-Nakaoka which are
a simultaneous generalization of $n$-exact categories and $(n+2)$-angulated
categories. This paper consists of two results on $n$-exangulated categories:
(1) we give an equivalent characterization of the axiom (EA2); (2) we provide a
new way to construct a closed subfunctor of an $n$-exangulated category.
