Factor Principles/Disjunction on Left
Theorem
Formulation 1
$p \implies q \vdash \paren {r \lor p} \implies \paren {r \lor q}$
Formulation 2
$\vdash \paren {p \implies q} \implies \paren {\paren {r \lor p} \implies \paren {r \lor q} }$