Testing LaTeX in HTML lists in GitHub Markdown

GitHub's LaTeX impl continues to be a pain the backside...

README.md

@@ -230,15 +230,15 @@ This polynomial has some rather useful properties:
    anything by zero is zero, the product reduces to zero.
 
 2. $\Lambda(0) = 1$.
-
+   
    This can be seen by plugging in 0:
-
-   $$
+   
+   $$\\
    \Lambda(0) = \prod_{j \in e} \left(1 - X_j 0\right)
               = \prod_{j \in e} 1
               = 1
    $$
-
+   
    This prevents trivial solutions and is what makes $\Lambda(x)$ useful.
 
 But what's _really_ interesting, is that these two properties allow us to