From 65e5a741655d8339ad5763e365ea2addd2e96e51 Mon Sep 17 00:00:00 2001 From: Simon-Kor <52245124+Simon-Kor@users.noreply.github.com> Date: Fri, 9 Aug 2024 15:15:49 +0200 Subject: put cardinalit to the right place --- library/cardinal.tex | 6 ++++++ 1 file changed, 6 insertions(+) (limited to 'library/cardinal.tex') diff --git a/library/cardinal.tex b/library/cardinal.tex index d0dec59..8691b30 100644 --- a/library/cardinal.tex +++ b/library/cardinal.tex @@ -3,6 +3,7 @@ \import{set.tex} \import{ordinal.tex} \import{function.tex} +\import{numbers.tex} \begin{definition}\label{finite} $X$ is finite iff there exists a natural number $k$ such that @@ -12,3 +13,8 @@ \begin{abbreviation}\label{infinite} $X$ is infinite iff $X$ is not finite. \end{abbreviation} + +\begin{definition}\label{cardinality} + $X$ has cardinality $k$ iff $k$ is a natural number and + there exists a bijection from $k$ to $X$. +\end{definition} -- cgit v1.2.3