diff --git a/Concurrent Systems/notes/13 - Weak Bisimilarity.md b/Concurrent Systems/notes/13 - Weak Bisimilarity.md
index 601dd1d..6aeeb61 100644
--- a/Concurrent Systems/notes/13 - Weak Bisimilarity.md	
+++ b/Concurrent Systems/notes/13 - Weak Bisimilarity.md	
@@ -117,3 +117,8 @@ basically we need to have an initially habilitated process, which can be any (th
 This will generate the LTS:
 ![500](../../Pasted%20image%2020250430171336.png)
 
+Is the implementation correct w.r.t. the given specification? Yes.
+Weak bisimilarity $L \approx L_{i}$
+$$R \triangleq \{ (L, L_{i})\space|\space 0<i\leq n\} \space \cup \space \{\bar{p_{i}}.L,L'_{i} \space | \space 0<i<n  \}$$
+is a bisimulation, trust me bro.
+