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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 1dd3d19736
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@ -4066,11 +4066,11 @@ wobei
&\Longleftrightarrow &\Longleftrightarrow
&\exists{x\in f^{-1}(B):~}f(x)=y\\ &\exists{x\in f^{-1}(B):~}f(x)=y\\
&\Longleftrightarrow &\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 &\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 &\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 &\Longleftrightarrow
&\exists{x\in X:~}(y=f(x)\,\text{und}\,y\in B)\\ &\exists{x\in X:~}(y=f(x)\,\text{und}\,y\in B)\\
&\Longleftrightarrow &\Longleftrightarrow