Minkowski's Inequality for Sums/Corollary

Corollary to Minkowski's Inequality for Sums
Let $a_1, a_2, \ldots, a_n, b_1, b_2, \ldots, b_n \in \R$ be real numbers.

Let $p \in \R$ be a real number.

If $p > 1$, then:
 * $\displaystyle \left({\sum_{k \mathop = 1}^n \left|{a_k + b_k}\right|^p}\right)^{1/p} \le \left({\sum_{k \mathop = 1}^n \left|{a_k}\right|^p}\right)^{1/p} + \left({\sum_{k \mathop = 1}^n \left|{b_k}\right|^p}\right)^{1/p}$

Also known as
This result itself, like the main result of which it is referenced as a corollary, is sometimes called Minkowski's Inequality (for Sums).