Rule of Idempotence/Conjunction/Formulation 1/Proof

Proof
We apply the Method of Truth Tables.

As can be seen by inspection, the truth values under the main connectives match for each boolean interpretations.

$\begin{array} {|c||ccc|} \hline p & p & \land & p \\ \hline \T & \T & \T & \T \\ \F & \F & \F & \F \\ \hline \end{array}$