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


Sources

  • 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): and
  • 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): and
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