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authorSimon-Kor <52245124+Simon-Kor@users.noreply.github.com>2024-08-09 15:15:49 +0200
committerSimon-Kor <52245124+Simon-Kor@users.noreply.github.com>2024-08-09 15:15:49 +0200
commit65e5a741655d8339ad5763e365ea2addd2e96e51 (patch)
tree9e221758c6e1a3d9f4f860f5dbdeeb3f77ec4f34 /library/cardinal.tex
parent6129ebdf0d8549f3e4d23aa771f2c06020182b7e (diff)
put cardinalit to the right place
Diffstat (limited to 'library/cardinal.tex')
-rw-r--r--library/cardinal.tex6
1 files changed, 6 insertions, 0 deletions
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}