niklas_birk_math/assets/mathematik/mengenlehre/inverse_rel.tex

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\documentclass[convert={size=512}]{standalone}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{tikz}
\usepackage{color}
\definecolor{draculaPurple}{RGB}{189,147,249}
\definecolor{draculaCyan}{RGB}{139,233,253}
\definecolor{draculaForeground}{RGB}{248,248,248}
\definecolor{draculaRed}{RGB}{255, 85, 85}
\begin{document}
\begin{tikzpicture}[text=draculaForeground, draw=draculaCyan]
% Set names
\node at (0,-0.4) [thick] {A};
\node at (3,-0.4) [thick] {B};
% Set elements
\begin{scope}[every node/.style={circle,thick,draw}]
\node (1) at (0,-1) {1};
\node (2) at (0,-2) {2};
\node (3) at (0,-3) {3};
\node (4) at (0,-4) {4};
\node (5) at (0,-5) {5};
\end{scope}
\begin{scope}[every node/.style={circle,thick,draw}]
\node (A) at (3,-1.5) {a};
\node (B) at (3,-2.5) {b};
\node (C) at (3,-3.5) {c};
\node (D) at (3,-4.5) {d};
\end{scope}
% Arrows
\begin{scope}[every edge/.style={draw=draculaPurple,very thick}]
\path [->] (1) edge (A);
\path [->] (1) edge (D);
\path [->] (2) edge (B);
\path [->] (3) edge (B);
\path [->] (4) edge (D);
\end{scope}
% Compose
\begin{scope}
\node at (4.5,-2.5) {\huge $\overset{R^{-1}}{\Longrightarrow}$};
\end{scope}
% Set names
\node at (6,-0.4) [thick] {B};
\node at (9,-0.4) [thick] {A};
% Set elements
\begin{scope}[every node/.style={circle,thick,draw}]
\node (AA) at (6,-1.5) {a};
\node (BB) at (6,-2.5) {b};
\node (CC) at (6,-3.5) {c};
\node (DD) at (6,-4.5) {d};
\end{scope}
\begin{scope}[every node/.style={circle,thick,draw}]
\node (11) at (9,-1) {1};
\node (22) at (9,-2) {2};
\node (33) at (9,-3) {3};
\node (44) at (9,-4) {4};
\node (55) at (9,-5) {5};
\end{scope}
% Arrows
\begin{scope}[every edge/.style={draw=draculaPurple,very thick}]
\path [->] (AA) edge (11);
\path [->] (BB) edge (22);
\path [->] (BB) edge (33);
\path [->] (DD) edge (11);
\path [->] (DD) edge (44);
\end{scope}
\end{tikzpicture}
\end{document}