# Definition:Corresponding Conditional

Let $p_1, p_2, p_3, \ldots, p_n \vdash q$ be a sequent of propositional logic.
$\vdash p_1 \implies \left({p_2 \implies \left({p_3 \implies \left({\ldots \implies \left({p_n \implies q}\right) \ldots }\right)}\right)}\right)$