Abstract
Let $SE(\mathcal{C})$ (respectively, $SM(\mathcal{C})$) be the
subcategory of a category $\mathcal{C}$ with the same objects and
whose morphisms are strong epimorphisms (respectively, strong
monomorphisms) of $\mathcal{C}$. In this paper, we give conditions
in some categories $\mathcal{C}$ for an object $X$ of
pro-$\mathcal{C}$ to be isomorphic to an object of
pro-$SE(\mathcal{C})$ (respectively, pro-$SM(\mathcal{C})$).
As an application, we give conditions under which objects of
pro-categories are stable.