ThmDex – An index of mathematical definitions, results, and conjectures.
F8000
Formulation 1
Let $M = (X, \mathcal{F}, \mu)$ be a D1158: Measure space.
Let $f : X \to [- \infty, \infty]$ be an D1921: Absolutely integrable function on $M$ such that
(i) $f =_{a.e.} 0$
Then \begin{equation} \mu(f) = 0 \end{equation}