Conjunction with Tautology/Proof 2

From ProofWiki
Jump to navigation Jump to search


$p \land \top \dashv \vdash p$


We apply the Method of Truth Tables to the proposition.

As can be seen by inspection, in each case, the truth values in the appropriate columns match for all boolean interpretations.

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