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| author | Simon-Kor <52245124+Simon-Kor@users.noreply.github.com> | 2024-09-23 03:14:06 +0200 |
|---|---|---|
| committer | GitHub <noreply@github.com> | 2024-09-23 03:14:06 +0200 |
| commit | 8fd49ae84e8cc4524c19b20fa0aabb4e77a46cd5 (patch) | |
| tree | 9848da3e57979a5a7e14ec99ee103cfa079e6fcb /library/cardinal.tex | |
| parent | 18c79bcb98fb376f15b2b3e00972530df61b26a9 (diff) | |
| parent | f6b22fd533bd61e9dbcb6374295df321de99b1f2 (diff) | |
Abgabe
Submission of Formalisation
Diffstat (limited to 'library/cardinal.tex')
| -rw-r--r-- | library/cardinal.tex | 10 |
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} + + |