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| author | adelon <22380201+adelon@users.noreply.github.com> | 2024-02-10 02:22:14 +0100 |
|---|---|---|
| committer | adelon <22380201+adelon@users.noreply.github.com> | 2024-02-10 02:22:14 +0100 |
| commit | 442d732696ad431b84f6e5c72b6ee785be4fd968 (patch) | |
| tree | b476f395e7e91d67bacb6758bc84914b8711593f /library/cardinal.tex | |
Initial commit
Diffstat (limited to 'library/cardinal.tex')
| -rw-r--r-- | library/cardinal.tex | 14 |
1 files changed, 14 insertions, 0 deletions
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} |
