For each of the following arguments, it is possible to provide a formal proof of validity by validly inferring just three statements. Writing these out, carefully and accurately, will strengthen your command of the rules of inference, a needed preparation for the construction of proofs that are more extended and more complex.

(P₁): ~ X ⊃ Y
(P₂): Z ⊃ X
(P₃): ~ X
∴ Y ⋅ ~ Z