From 442d732696ad431b84f6e5c72b6ee785be4fd968 Mon Sep 17 00:00:00 2001
From: adelon <22380201+adelon@users.noreply.github.com>
Date: Sat, 10 Feb 2024 02:22:14 +0100
Subject: Initial commit

---
 library/subfinite.tex | 12 ++++++++++++
 1 file changed, 12 insertions(+)
 create mode 100644 library/subfinite.tex

(limited to 'library/subfinite.tex')

diff --git a/library/subfinite.tex b/library/subfinite.tex
new file mode 100644
index 0000000..bc1a781
--- /dev/null
+++ b/library/subfinite.tex
@@ -0,0 +1,12 @@
+\import{function.tex}
+\import{nat.tex}
+
+\begin{definition}\label{subfinite}
+    $X$ is subfinite iff
+        there exists a natural number $k$ such that
+        there exists an injective function $f$ from $k$ to $X$.
+\end{definition}
+
+\begin{proposition}\label{emptyset_subfinite}
+    $\emptyset$ is subfinite.
+\end{proposition}
-- 
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