Part $1($#$14)$: Use the first $4$ rules of inference to provide logical proofs with line$-$by$-$line justifications for the following arguments.

The logical operators used must be the ones we are using in this class; no other operators will be accepted. The method used to solve each problem must be the method we are using in this class; no other methods or steps will be accepted.

$1.$

$1.$ F $>$ J

$2.$ ~J

$3.$ F v Q $/$Q