Hello.

Having a bit of trouble understanding the truth table for the statement:

.

Could somebody run me through the scenarios and explain how they affect the truth value of . In particular, the scenario where is false, but is true... how does this imply that is true?

So :

true, true: ?

true, false: ?

false, true: ?

false, false: ?

I know the answers are true, false, true, true. But can someone explain the logic behind it?