Sorry if this is overly simple but I've never actually done a logic course beyond truth tables. I can guess the meaning but I've never encountered this one.

If I have the statement $\displaystyle X \Leftrightarrow Y \Leftrightarrow Z$ is this just a shorthand way of writing the three statements $\displaystyle X \Leftrightarrow Y$, $\displaystyle Y \Leftrightarrow Z$, and $\displaystyle X \Leftrightarrow Z$?

I can give you the actual problem statement if you need it.

Thanks!

-Dan