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authoradelon <22380201+adelon@users.noreply.github.com>2025-07-02 20:28:22 +0200
committerGitHub <noreply@github.com>2025-07-02 20:28:22 +0200
commit793849dd0b20bc70ea0e0ecfd5008a3806eca0d9 (patch)
tree280949f358a695c5471212cc5b22950399d8cd57 /library/cardinal.tex
parent3caadfbe0fdb417b8edebc17002ddafe795a4bcc (diff)
parent8fd49ae84e8cc4524c19b20fa0aabb4e77a46cd5 (diff)
Merge pull request #2 from Simon-Kor/main
Merge (finally)
Diffstat (limited to 'library/cardinal.tex')
-rw-r--r--library/cardinal.tex10
1 files changed, 9 insertions, 1 deletions
diff --git a/library/cardinal.tex b/library/cardinal.tex
index d0dec59..5682619 100644
--- a/library/cardinal.tex
+++ b/library/cardinal.tex
@@ -1,8 +1,9 @@
-\section{Cardinality}
+\section{Cardinality}\label{form_sec_cardinality}
\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 +13,10 @@
\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}
+
+