# Zweielementige Menge/Verknüpfungstabelle für Durchschnitt/Aufgabe/Lösung

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Die Menge sei ${\displaystyle {}M=\{a,b\}}$, die Potenzmenge ist dann

${\displaystyle {}{\mathfrak {P}}\,(M)=\{\emptyset ,\{a\},\{b\},\{a,b\}\}\,.}$

Die Verknüpfungstabelle für den Durchschnitt ist

${\displaystyle {}\cap }$ ${\displaystyle {}\emptyset }$ ${\displaystyle {}\{a\}}$ ${\displaystyle {}\{b\}}$ ${\displaystyle {}\{a,b\}}$
${\displaystyle {}\emptyset }$ ${\displaystyle {}\emptyset }$ ${\displaystyle {}\emptyset }$ ${\displaystyle {}\emptyset }$ ${\displaystyle {}\emptyset }$
${\displaystyle {}\{a\}}$ ${\displaystyle {}\emptyset }$ ${\displaystyle {}\{a\}}$ ${\displaystyle {}\emptyset }$ ${\displaystyle {}\{a\}}$
${\displaystyle {}\{b\}}$ ${\displaystyle {}\emptyset }$ ${\displaystyle {}\emptyset }$ ${\displaystyle {}\{b\}}$ ${\displaystyle {}\{b\}}$
${\displaystyle {}\{a,b\}}$ ${\displaystyle {}\emptyset }$ ${\displaystyle {}\{a\}}$ ${\displaystyle {}\{b\}}$ ${\displaystyle {}\{a,b\}}$