From 442d732696ad431b84f6e5c72b6ee785be4fd968 Mon Sep 17 00:00:00 2001
From: adelon <22380201+adelon@users.noreply.github.com>
Date: Sat, 10 Feb 2024 02:22:14 +0100
Subject: Initial commit

---
 library/cardinal.tex | 14 ++++++++++++++
 1 file changed, 14 insertions(+)
 create mode 100644 library/cardinal.tex

(limited to 'library/cardinal.tex')

diff --git a/library/cardinal.tex b/library/cardinal.tex
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+\section{Cardinality}
+
+\import{set.tex}
+\import{ordinal.tex}
+\import{function.tex}
+
+\begin{definition}\label{finite}
+    $X$ is finite iff there exists a natural number $k$ such that
+        there exists a bijection from $k$ to $X$.
+\end{definition}
+
+\begin{abbreviation}\label{infinite}
+    $X$ is infinite iff $X$ is not finite.
+\end{abbreviation}
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