diff --git a/.obsidian/workspace.json b/.obsidian/workspace.json
index 591a7ca..6881e20 100644
--- a/.obsidian/workspace.json
+++ b/.obsidian/workspace.json
@@ -34,9 +34,9 @@
               "type": "pdf",
               "state": {
                 "file": "Concurrent Systems/slides/class 3.pdf",
-                "page": 8,
+                "page": 9,
                 "left": -26,
-                "top": 376,
+                "top": 381,
                 "zoom": 0.57541567695962
               },
               "icon": "lucide-file-text",
diff --git a/Concurrent Systems/notes/3.md b/Concurrent Systems/notes/3.md
index fb07f69..a358c15 100644
--- a/Concurrent Systems/notes/3.md	
+++ b/Concurrent Systems/notes/3.md	
@@ -165,7 +165,8 @@ W.r.t. the execution of $p_j$, it can be that
 - this read overlaps with `FLAG[j] <- up` by Lemma 1, `MY_TURN[i] < MY_TURN[j]` and ok
 - this read is contained within the computation of `MY_TURN[j]`, but it's not possible, since `MY_TURN` is computed with the `FLAG` up
 - this read overlaps with `FLAG[j] <- down` or this read happens when $p_j$ is in the bakery:
-	- `MY_TURN[j] has been ...
+	- `MY_TURN[j]` has been decided and no write will change it until $p_j$ is in the bakery, and `MY_TURN[j] > 0` of course
+	- When $p_i$ evaluated the second wait for j, it found out that $⟨MY_TURN[i],i⟩ < ⟨MY_TURN[j],j⟩$, good!
 continuare
 
 **MUTEX:** $p_i$ and $p_j$ cannot simultaneously be in the CS: