From c4c3bcdbc8d5f5528d66e587412ae84e77708452 Mon Sep 17 00:00:00 2001
From: raj_mathe <raj.dahya@math.uni-leipzig.de>
Date: Sat, 21 Nov 2020 15:18:08 +0100
Subject: [PATCH] master > master: SKA4-11 kleinere Diagramme

---
 docs/loesungen.pdf | Bin 397518 -> 397704 bytes
 docs/loesungen.tex |  64 ++++++++++++++++++++++-----------------------
 2 files changed, 32 insertions(+), 32 deletions(-)

diff --git a/docs/loesungen.pdf b/docs/loesungen.pdf
index c2ea6e6ceaed5199d39fbbce83bb1db510e6a2fd..d3f1f1b7f2e79790f59bffb244ed341f033e64a7 100644
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diff --git a/docs/loesungen.tex b/docs/loesungen.tex
index 4c05f14..a80eb9f 100644
--- a/docs/loesungen.tex
+++ b/docs/loesungen.tex
@@ -3211,18 +3211,18 @@ Seien $X$, $Y$ nicht leere Mengen und ${f:X\to Y}$ eine Funktion.
 
                 \hraum
                 {\footnotesize
-                \begin{tikzpicture}[node distance=1.5cm, thick]
-                    \pgfmathsetmacro\habst{3}
-                    \pgfmathsetmacro\vabst{2}
+                \begin{tikzpicture}[node distance=1cm, thick]
+                    \pgfmathsetmacro\habst{1.5}
+                    \pgfmathsetmacro\vabst{1}
 
-                    \node[label=below:{$X$}]       (Set1)  at (0*\habst,0*\vabst)  {$\bullet$};
-                    \node[label=left:{$\{a,b\}$}] (SetAB) at (-1*\habst,1*\vabst) {$\bullet$};
-                    \node[label=above:{$\{a,c\}$}] (SetAC) at (0*\habst,1*\vabst)  {$\bullet$};
-                    \node[label=right:{$\{b,c\}$}] (SetBC) at (1*\habst,1*\vabst)  {$\bullet$};
-                    \node[label=left:{$\{a\}$}]   (SetA)  at (-1*\habst,2*\vabst) {$\bullet$};
-                    \node[label=below:{$\{b\}$}]   (SetB)  at (0*\habst,2*\vabst)  {$\bullet$};
-                    \node[label=right:{$\{c\}$}]   (SetC)  at (1*\habst,2*\vabst)  {$\bullet$};
-                    \node[label=above:{$\leer$}]   (Set0)  at (0*\habst,3*\vabst)  {$\bullet$};
+                    \node (Set1)  at (0*\habst,0*\vabst)  {$X$};
+                    \node (SetAB) at (-1*\habst,1*\vabst) {$\{a,b\}$};
+                    \node (SetAC) at (0*\habst,1*\vabst)  {$\{a,c\}$};
+                    \node (SetBC) at (1*\habst,1*\vabst)  {$\{b,c\}$};
+                    \node (SetA)  at (-1*\habst,2*\vabst) {$\{a\}$};
+                    \node (SetB)  at (0*\habst,2*\vabst)  {$\{b\}$};
+                    \node (SetC)  at (1*\habst,2*\vabst)  {$\{c\}$};
+                    \node (Set0)  at (0*\habst,3*\vabst)  {$\leer$};
 
                     \draw (Set1)  edge [->] (SetAB);
                     \draw (Set1)  edge [->] (SetAC);
@@ -3308,18 +3308,18 @@ Seien $X$, $Y$ nicht leere Mengen und ${f:X\to Y}$ eine Funktion.
 
         \hraum
         {\footnotesize
-        \begin{tikzpicture}[node distance=1.5cm, thick]
-            \pgfmathsetmacro\habst{3}
-            \pgfmathsetmacro\vabst{2}
+        \begin{tikzpicture}[node distance=1cm, thick]
+            \pgfmathsetmacro\habst{1.5}
+            \pgfmathsetmacro\vabst{1}
 
-            \node[label=above:{$C$}]       (Set1)  at (0*\habst,3*\vabst)  {$\bullet$};
-            \node[label=left:{$\{a,b\}$}] (SetAB) at (-1*\habst,2*\vabst) {$\bullet$};
-            \node[label=below:{$\{a,c\}$}] (SetAC) at (0*\habst,2*\vabst)  {$\bullet$};
-            \node[label=right:{$\{b,c\}$}] (SetBC) at (1*\habst,2*\vabst)  {$\bullet$};
-            \node[label=left:{$\{a\}$}]   (SetA)  at (-1*\habst,1*\vabst) {$\bullet$};
-            \node[label=above:{$\{b\}$}]   (SetB)  at (0*\habst,1*\vabst)  {$\bullet$};
-            \node[label=right:{$\{c\}$}]   (SetC)  at (1*\habst,1*\vabst)  {$\bullet$};
-            \node[label=below:{$\leer$}]   (Set0)  at (0*\habst,0*\vabst)  {$\bullet$};
+            \node (Set1)  at (0*\habst,3*\vabst)  {$C$};
+            \node (SetAB) at (-1*\habst,2*\vabst) {$\{a,b\}$};
+            \node (SetAC) at (0*\habst,2*\vabst)  {$\{a,c\}$};
+            \node (SetBC) at (1*\habst,2*\vabst)  {$\{b,c\}$};
+            \node (SetA)  at (-1*\habst,1*\vabst) {$\{a\}$};
+            \node (SetB)  at (0*\habst,1*\vabst)  {$\{b\}$};
+            \node (SetC)  at (1*\habst,1*\vabst)  {$\{c\}$};
+            \node (Set0)  at (0*\habst,0*\vabst)  {$\leer$};
 
             \draw (Set0)  edge [->] (SetA);
             \draw (Set0)  edge [->] (SetB);
@@ -3340,17 +3340,17 @@ Seien $X$, $Y$ nicht leere Mengen und ${f:X\to Y}$ eine Funktion.
 
         \hraum
         {\footnotesize
-        \begin{tikzpicture}[node distance=1.5cm, thick]
-            \pgfmathsetmacro\habst{3}
-            \pgfmathsetmacro\vabst{2}
+        \begin{tikzpicture}[node distance=1cm, thick]
+            \pgfmathsetmacro\habst{1.5}
+            \pgfmathsetmacro\vabst{1}
 
-            \node[label=above:{$C$}]       (Set1)  at (0*\habst,3*\vabst)  {$\bullet$};
-            \node[label=left:{$\{a,b\}$}] (SetAB) at (-1*\habst,2*\vabst) {$\bullet$};
-            \node[label=below:{$\{a,c\}$}] (SetAC) at (0*\habst,2*\vabst)  {$\bullet$};
-            \node[label=right:{$\{b,c\}$}] (SetBC) at (1*\habst,2*\vabst)  {$\bullet$};
-            \node[label=left:{$\{a\}$}]   (SetA)  at (-1*\habst,1*\vabst) {$\bullet$};
-            \node[label=above:{$\{b\}$}]   (SetB)  at (0*\habst,1*\vabst)  {$\bullet$};
-            \node[label=right:{$\{c\}$}]   (SetC)  at (1*\habst,1*\vabst)  {$\bullet$};
+            \node (Set1)  at (0*\habst,3*\vabst)  {$C$};
+            \node (SetAB) at (-1*\habst,2*\vabst) {$\{a,b\}$};
+            \node (SetAC) at (0*\habst,2*\vabst)  {$\{a,c\}$};
+            \node (SetBC) at (1*\habst,2*\vabst)  {$\{b,c\}$};
+            \node (SetA)  at (-1*\habst,1*\vabst) {$\{a\}$};
+            \node (SetB)  at (0*\habst,1*\vabst)  {$\{b\}$};
+            \node (SetC)  at (1*\habst,1*\vabst)  {$\{c\}$};
 
             \draw (SetA) edge [->] (SetAB);
             \draw (SetA) edge [->] (SetAC);