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

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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

$\blacksquare$


Sources