upward Lowenheim-Skolem theorem

Let $L$ be a first-order language and let $𝒜$ be an infinite $L$-structure. Then if $\kappa$ is a cardinal with $\kappa \ge \mathrm{Max}(|𝒜|,|L|)$ then there is an $L$-structure $ℬ$ such that $|ℬ|=\kappa$ and $𝒜\preccurlyeq ℬ$.