Rule of Association/Conjunction

Theorem

Conjunction is associative:

Formulation 1

$p \land \left({q \land r}\right) \dashv \vdash \left({p \land q}\right) \land r$

Formulation 2

$\vdash \paren {p \land \paren {q \land r} } \iff \paren {\paren {p \land q} \land r}$

Also see

• Rule of Commutation