Let $G$ be a compact Lie group, and let $\mathcal B(G)$ denote its Borel $\sigma$-algebra. Let $\nu:\mathcal B(G)\to[0,\infty)$ be a left Haar measure normalized by $\nu(G)=1$. Then $\nu$ is right invariant: for every $g\in G$ and every Borel subset $A\in\mathcal B(G)$,