Biconditional is Commutative

From ProofWiki
Jump to navigation Jump to search

Theorem

The biconditional operator is commutative:

Formulation 1

$p \iff q \dashv \vdash q \iff p$

Formulation 2

$\vdash \left({p \iff q}\right) \iff \left({q \iff p}\right)$