Let $T\in D_{p,q}(W)$ and $\omega\in A^{r,s}(W)$ for an open subset $W$ of ${X^{\rm an}}$. Then we define $T\wedge\omega\in D_{p-r,q-s}(W)$ by $(T\wedge\omega)(\alpha)=T(\omega\wedge\alpha)$ for $\alpha\in A_{c}^{p-r,q-s}(W)$. Since the wedge product with a given form is a continuous operation on $A_{c}(W)$, it is clear that $T\wedge\omega$ is really a current on $W$.