ThmDex – An index of mathematical definitions, results, and conjectures.
F12661
Formulation 1
Let $M = (X, \mathcal{F}, \mu)$ be a D1158: Measure space such that
(1) $f : X \to [0, \infty]$ is a D313: Measurable function on $M$
Then \begin{equation} \int_X I_{\emptyset} f \, d \mu = 0 \end{equation}