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): (T ⊃ U) ⋅ (V ⊃ W)
(P₂): (U ⊃ X) ⋅ (W ⊃ Y)
(P₃): T
∴ X ꓦ Y