diff --git a/.obsidian/workspace.json b/.obsidian/workspace.json
index 4f6063a..0bbdbcb 100644
--- a/.obsidian/workspace.json
+++ b/.obsidian/workspace.json
@@ -36,9 +36,9 @@
               "type": "pdf",
               "state": {
                 "file": "Concurrent Systems/slides/class 6.pdf",
-                "page": 4,
+                "page": 6,
                 "left": -23,
-                "top": 17,
+                "top": 546,
                 "zoom": 0.6448931116389549
               },
               "icon": "lucide-file-text",
diff --git a/Concurrent Systems/notes/6 - Atomicity.md b/Concurrent Systems/notes/6 - Atomicity.md
index 3cb76c8..c630a14 100644
--- a/Concurrent Systems/notes/6 - Atomicity.md	
+++ b/Concurrent Systems/notes/6 - Atomicity.md	
@@ -34,4 +34,8 @@ For all X, let $\hat{S}_{X}$ be a linearization of $\hat{H}_{X}$
 
 Let $\to$ denote $\to_{H} \cup \bigcup_{X \in H} \to _{X}$
 
-...
\ No newline at end of file
+...
+> [!PDF|red] class 6, p.6>  we would have a cycle of length 
+> 
+> we would contraddict op2 ->x op3
+