diff --git a/.obsidian/workspace.json b/.obsidian/workspace.json
index 42e4b3d..2874e26 100644
--- a/.obsidian/workspace.json
+++ b/.obsidian/workspace.json
@@ -36,7 +36,7 @@
                 "file": "Concurrent Systems/slides/class 6.pdf",
                 "page": 6,
                 "left": -23,
-                "top": 259,
+                "top": 242,
                 "zoom": 0.6627078384798101
               },
               "icon": "lucide-file-text",
@@ -214,10 +214,10 @@
       "companion:Toggle completion": false
     }
   },
-  "active": "51157f32453cba69",
+  "active": "88f2e3a5b973712d",
   "lastOpenFiles": [
-    "Concurrent Systems/slides/class 6.pdf",
     "Concurrent Systems/notes/6 - Atomicity.md",
+    "Concurrent Systems/slides/class 6.pdf",
     "Concurrent Systems/notes/images/Pasted image 20250318090733.png",
     "Concurrent Systems/notes/images/Pasted image 20250318090909.png",
     "Concurrent Systems/slides/class 5.pdf",
diff --git a/Concurrent Systems/notes/6 - Atomicity.md b/Concurrent Systems/notes/6 - Atomicity.md
index 3f44007..1954aa7 100644
--- a/Concurrent Systems/notes/6 - Atomicity.md	
+++ b/Concurrent Systems/notes/6 - Atomicity.md	
@@ -70,7 +70,7 @@ Let us define a linearization of $\hat{H}$ as follows: $$\hat{S}=inv(op1)res(op1
 we would have the topological order: $op1\to'op2\to'...$
 
 $\hat{S}$ is clearly sequential. Moreover:
-1. $\forall X :\hat{S}|_{X} = \hat{S}_X (\in semantics(X))$. Indeed:
+1. $\forall X :\hat{S}|_{X} = \hat{S}_X (\in semantics(X))$, indeed:
 	- $<_{\hat{S}_X}=\to_X \subseteq \to'_X = \to_{\hat{S}|X}=<_{\hat{S}|X}$
 	- 
 > [!PDF|red] class 6, p.6>  we would have a cycle of length