Make prop2 proof more consistent

index.qmd

@@ -1464,8 +1464,8 @@ To find $\mathcal{Q}''_p(x)$ we rewrite \eqref{eq:check}:
 \begin{align}
   \rho_p(z) &= 
   \begin{cases}
-    z(1 - p) = z - zp, & \text{if } z > 0 \\
-    z(0 - p) = -zp,    & \text{if } z \leq 0
+    z(1 - p) = z - zp, & \text{if } 0 < z \\
+    z(0 - p) = -zp,    & \text{if } 0 \geq z
   \end{cases} \\
   \rho_p'(z) &=
   \begin{cases}