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 new file mode 100644 index 0000000..d0dec59 --- /dev/null +++ b/library/cardinal.tex @@ -0,0 +1,14 @@ +\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} -- cgit v1.2.3