Rule of Idempotence/Conjunction/Formulation 1/Reverse Implication

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Theorem

$p \land p \vdash p$


Proof

By the tableau method of natural deduction:

$p \land p \vdash p$
Line Pool Formula Rule Depends upon Notes
1 1 $p \land p$ Premise (None)
2 1 $p$ Rule of Simplification: $\land \EE_1$ 1

$\blacksquare$