Reductio ad Absurdum/Variant 1/Proof by Truth Table

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

$\begin{array}{|cccc||c|} \hline \neg & p & \implies & \bot & p \\ \hline T & F & F & F & F \\ F & T & T & F & T \\ \hline \end{array}$