Maßtheorie/Integration/Konstanter Wert/Null/Aufgabe

Es sei ${}M$ ein ${}\sigma$ -endlicher Maßraum,

f\colon M\longrightarrow {\overline {\mathbb {R} }}

und

{}c\in \ {\overline {\mathbb {R} }}

. Zeige, dass

{}{\left\{(x,c)\mid f(x)=c\right\}}\subseteq M\times {\overline {\mathbb {R} }}

eine Nullmenge ist.

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