From 6686cfa5d5563732dcf036b3b2335eacf26d210c Mon Sep 17 00:00:00 2001
From: Moniker1998 <adamcz98333@gmail.com>
Date: Thu, 25 Dec 2025 03:58:46 +0100
Subject: [PATCH 1/2] new theorem

---
 theorems/T000806.md | 16 ++++++++++++++++
 1 file changed, 16 insertions(+)
 create mode 100644 theorems/T000806.md

diff --git a/theorems/T000806.md b/theorems/T000806.md
new file mode 100644
index 000000000..f79a6ac26
--- /dev/null
+++ b/theorems/T000806.md
@@ -0,0 +1,16 @@
+---
+uid: T000806
+if:
+  and:
+  - P000019: true
+  - P000131: true
+then:
+  P000020: true
+refs:
+  - zb: "1126.54010"
+    name: When is a compact space sequentially compact? (O. Alas, R. Wilson)
+---
+
+Established as corollary 2.2 in {{zb:1126.54010}}. 
+
+In fact, theorem 2.1 shows slightly more generally that if $hL(X) < \mathfrak{t}$ and $X$ is countably compact, then $X$ is sequentially compact. Here $hL(X)$ is the hereditary Lindelof number and $\mathfrak{t}$ is the tower number, where $\omega_1\leq \mathfrak{t}\leq \mathfrak{c}$.

From eae46ba53ff82da1c72c8aee0e45e82026d50992 Mon Sep 17 00:00:00 2001
From: Moniker1998 <adamcz98333@gmail.com>
Date: Fri, 26 Dec 2025 14:30:02 +0100
Subject: [PATCH 2/2] compromising

---
 theorems/T000806.md | 2 --
 1 file changed, 2 deletions(-)

diff --git a/theorems/T000806.md b/theorems/T000806.md
index f79a6ac26..619fcadb5 100644
--- a/theorems/T000806.md
+++ b/theorems/T000806.md
@@ -12,5 +12,3 @@ refs:
 ---
 
 Established as corollary 2.2 in {{zb:1126.54010}}. 
-
-In fact, theorem 2.1 shows slightly more generally that if $hL(X) < \mathfrak{t}$ and $X$ is countably compact, then $X$ is sequentially compact. Here $hL(X)$ is the hereditary Lindelof number and $\mathfrak{t}$ is the tower number, where $\omega_1\leq \mathfrak{t}\leq \mathfrak{c}$.