Let p$,$q and r be propositional variables. Prove the following logical equivalence

$($p $->$ q$)($p $->$ r$)($q$$r$)->$ p

$(1)...$using a truth table. In your truth table, include at least $3$ intermediate steps.

$(2)...$using the laws of logic. You must use only one law per step, and name the law you are using at each step.