# Rule of Simplification/Sequent Form/Formulation 1/Form 1/Proof 1

## Theorem

 $\ds p \land q$  $\ds$ $\ds \vdash \ \$ $\ds p$  $\ds$

## Proof

By the tableau method of natural deduction:

$p \land q \vdash p$
Line Pool Formula Rule Depends upon Notes
1 1 $p \land q$ Premise (None)
2 1 $p$ Rule of Simplification: $\land \mathcal E_1$ 1

$\blacksquare$