From 6ffcf9e50d8ec8be31b6702a2966e038b3d7fc89 Mon Sep 17 00:00:00 2001
From: Zheyuan Wu <60459821+Trance-0@users.noreply.github.com>
Date: Sun, 8 Dec 2024 14:38:45 -0600
Subject: [PATCH] check errors

---
 pages/Math4111/Math4111_L3.md | 2 +-
 pages/Math4111/Math4111_L4.md | 2 +-
 2 files changed, 2 insertions(+), 2 deletions(-)

diff --git a/pages/Math4111/Math4111_L3.md b/pages/Math4111/Math4111_L3.md
index 35a71e8..bcc2812 100644
--- a/pages/Math4111/Math4111_L3.md
+++ b/pages/Math4111/Math4111_L3.md
@@ -122,4 +122,4 @@ We define $\mathbb{R}$ to be the unique ordered field with $LUBP$. (The existenc
 #### Theorem 1.20
 
 1. (Archimedean property) If $x,y\in \mathbb{R}$ and $x>0$, then $\exists n\in \mathbb{N}$ such that $nx>y$.
-2. ($\mathbb{Q}$ is dense in $\mathbb{R}$) If $x,y\in \mathbb{R}$ and $x<y$, then $\exists p\in \mathbb{Q}$$ such that $x<p<y$.
+2. ($\mathbb{Q}$ is dense in $\mathbb{R}$) If $x,y\in \mathbb{R}$ and $x<y$, then $\exists p\in \mathbb{Q}$ such that $x<p<y$.
diff --git a/pages/Math4111/Math4111_L4.md b/pages/Math4111/Math4111_L4.md
index ede682f..038d45c 100644
--- a/pages/Math4111/Math4111_L4.md
+++ b/pages/Math4111/Math4111_L4.md
@@ -43,7 +43,7 @@ EOP
 
 ### $\mathbb{Q}$ is dense in $\mathbb{R}$
 
-$\mathbb{Q}$ is dense in $\mathbb{R}$) If $x,y\in \mathbb{R}$ and $x<y$, then $\exists p\in \mathbb{Q}$$ such that $x<p<y$.
+$\mathbb{Q}$ is dense in $\mathbb{R}$ if $x,y\in \mathbb{R}$ and $x<y$, then $\exists p\in \mathbb{Q}$ such that $x<p<y$.
 
 Some thoughts: