From a6008f77caace21812eee926693c690abb942569 Mon Sep 17 00:00:00 2001
From: raj_mathe <raj.dahya@math.uni-leipzig.de>
Date: Sat, 21 Nov 2020 23:29:54 +0100
Subject: [PATCH] =?UTF-8?q?master=20>=20master:=20Quiz=203=20Ausdr=C3=BCck?=
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---
 docs/loesungen.pdf | Bin 393681 -> 393654 bytes
 docs/loesungen.tex |   6 +++---
 2 files changed, 3 insertions(+), 3 deletions(-)

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diff --git a/docs/loesungen.tex b/docs/loesungen.tex
index 8d46502..d3397b6 100644
--- a/docs/loesungen.tex
+++ b/docs/loesungen.tex
@@ -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