Principle of Composition

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Theorem

Formulation 1

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

Formulation 2

$\left({\left({p \implies r}\right) \lor \left({q \implies r}\right)}\right) \iff \left({\left({p \land q}\right) \implies r}\right)$