diff --git a/cw/cw.tex b/cw/cw.tex
index 73c41ec..97e0798 100644
--- a/cw/cw.tex
+++ b/cw/cw.tex
@@ -135,13 +135,13 @@
 	This q pairs work because when the oracle selects b=0:
 
 	There will be no colisions:
-	$$\forall i,k : i \ne j \and P_{0i} \neq p E_{0i} \implies E_{0i} \neq E_{0j}$$
+	$$\forall i,k \nexists i,k : i \ne j \and P_{0i} \ne p E_{0i} \implies E_{0i} \ne E_{0j}$$
 	there if you don't find any colissions you can assume that the the oracle selected b=0
 
 	if the oracle selects b=1:
 
 	If q is big enough, there will be colissions:
-	$$\exists i,k : i \ne j \and P_{1i} \eq P_{1j} \and R_i = R_j \implies E_{1i} = E_{1j}$$
+	$$\exists i,k : i \ne j \and P_{1i} \eq P_{1j} \and R_i = R_j \implies E_{1i} \eq E_{1j}$$
 	where $R$ is the list of random values generated for each pair
 
 	\subsection*{4.3}