Direct limit completions of vertex tensor categories

We show that direct limit completions of vertex tensor categories inherit and braided category structures, under conditions hold for example all known Virasoro affine Lie algebra categories. A consequence is the theory operator (super)algebra extensions also applies to infinite-order extensions. As an application, we relate rigid non-degenerate certain modules both superalgebra $\mathfrak{osp}(1|2)$ $N=1$ super via cosets.