As far as I understand it, in Priest's "Logic of paradox" there is a proof to the effect that $\phi$ is classically valid IFF $\phi$ is valid in the Logic of Paradox (LP), that is: $\vDash_C \phi$ IFF $\vDash_{LP} \phi$.
Priest says that
the proof from right to left is immediate since every two valued model is a three valued model
Why so?
Moreover, how does it work the proof from left to right?
