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vereinigt B & $A \cup B = \lbrace x \vert x \in A$ oder $x \in B \rbrace$ \\ $A \cap B$ & A geschnitten B & $A \cap B = \lbrace x \vert x \in A$ und $x \in B \rbrace$ \\ - $A \setminus B$ & A ohne B & $A \cup B = \lbrace x \vert x \in A$ und $x \notin B \rbrace$ \\ + $A \setminus B$ & A ohne B & $A \setminus B = \lbrace x \vert x \in A$ und $x \notin B \rbrace$ \\ $\mathcal{P}(A)$ & Potenzmenge A & Potenzmenge der Menge A\\ $A \in B$ & A Element von B & A ist ein Element von B\\ $A \notin B$ & A kein Element von B & A ist nicht in B enthalten \\ @@ -292,9 +292,13 @@ $\cfrac{1}{2}\sqrt{2} \cong 0.70710678$ und $\cfrac{1}{2}\sqrt{3} \cong 0.866025 \ctrule Umwandeln & $A \wedge B = \neg \left( A \rightarrow \neg B \right)$ \\ & $A \vee B = \neg A \rightarrow B $ \\ + & $A \rightarrow B = \neg A \vee B$ \\ & $A \leftrightarrow B = \left( A \wedge B \right) \vee \left(\neg A \wedge \neg B \right)$ \\ & $A \leftrightarrow B = \left( \neg A \vee B \right) \wedge \left(A \vee \neg B \right)$ \\ \ctrule + Vereinfachen & $A \wedge \neg A = $ immer Falsch! \\ + & $A \vee \neg A = $ immer Richtig! \\ + & $A \wedge \neg A \vee B \wedge A = B \wedge A$ \\ \end{tablebox} \subsection{Beispiel}