$ML$ estimate for contour integrals

Contour integrals are bounded by maximum size times path length: $\abs{\int_\gamma f\,dz}\le ML$.Suggest a slogan

Let $\gamma$ be a piecewise smooth curve in $\CC$ of length $L\coloneqq\length(\gamma)$, and let $f$ be continuous on the image of $\gamma$. Then, with $M\coloneqq\sup_{\xi\in\gamma}\abs{f(\xi)}$, \[ \abs{\int_\gamma f(z)\dz}\leq ML. \]