Rule of Idempotence/Conjunction/Formulation 1/Forward Implication

From ProofWiki
Jump to navigation Jump to search

Theorem

$p \vdash p \land p$


Proof

By the tableau method of natural deduction:

$p \vdash p \land p$
Line Pool Formula Rule Depends upon Notes
1 1 $p$ Premise (None)
2 1 $p \land q$ Rule of Conjunction: $\land \II$ 1, 1

$\blacksquare$