Simple Logic Question I've very little understanding in logic, how can I simply show that this is true:
$$((X \wedge \neg Y)\Rightarrow \neg Z) \Leftrightarrow ((X\wedge Z)\Rightarrow Y)$$
Thanks a lot.

A simple way to work with exercises like these (unless trying to formally prove them in some formal system), lies in seeing what happens if one variable is true, and then seeing what happens if that same variable is false.  Then you can use logical equations (which you can derive and check quickly from truth tables for the basic connectives) like 
(0 $\land$ y)=0
(0 $\implies$ y)=1 
(1 $\land$ y)=y
(x $\implies$ 0)=$\lnot$x
(1$\implies$y)=y
(x$\implies$1)=1.
These ones should suffice for this exercise.  
