Non-Equivalence as Disjunction of Conjunctions

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Theorem

Formulation 1

$\neg \left ({p \iff q}\right) \dashv \vdash \left({\neg p \land q}\right) \lor \left({p \land \neg q}\right)$

Formulation 2

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