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master > master: Quiz 3 Ausdrücke in Quantoren etwas ausführlicher behandelt

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RD 2020-11-21 23:29:54 +01:00
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commit a6008f77ca
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docs/loesungen.tex
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@ -4066,11 +4066,11 @@ wobei
&\Longleftrightarrow
&\exists{x\in f^{-1}(B):~}f(x)=y\\
&\Longleftrightarrow
&\exists{x\in X:~}(x\in f^{-1}(B)\,\text{und}\,f(x)=y)\\
&\exists{x:~}(x\in f^{-1}(B)\,\text{und}\,f(x)=y)\\
&\Longleftrightarrow
&\exists{x\in X:~}(f(x)=y\,\text{und}\,x\in f^{-1}(B))\\
&\exists{x:~}(x\in X\,\text{und}\,f(x)\in B\,\text{und}\,f(x)=y)\\
&\Longleftrightarrow
&\exists{x\in X:~}(y=f(x)\,\text{und}\,f(x)\in B)\\
&\exists{x\in X:~}(f(x)\in B\,\text{und}\,f(x)=y)\\
&\Longleftrightarrow
&\exists{x\in X:~}(y=f(x)\,\text{und}\,y\in B)\\
&\Longleftrightarrow