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): (H ⊃ 1) ⋅ (H ⊃ J)
(P₂): H ⋅ (I ꓦ J)
∴ I ꓦ J