User:Lord Farin/Tableau Proof Rules/Conjunction

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Conjunction

Given statements $p$ and $q$, we have also $p \land q$ and $q \land p$.

Line Pool Formula Rule Depends upon Notes
$i$ $I$ $p$ ? ?
$j$ $J$ $q$ ? ?
$k$ $I,J$ $p \land q$ Rule of Conjunction $i,j$
$l$ $I,J$ $q \land p$ Rule of Conjunction $i,j$

Wiki code

|-
| align="right" | $k$ ||
| align="right" | $I,J$
| $p \land q$
| [[Rule of Conjunction]]
| $i,j$
|-
| align="right" | $l$ ||
| align="right" | $I,J$
| $q \land p$
| [[Rule of Conjunction]]
| $i,j$