Definition:Corresponding Conditional

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Definition

Let $p_1, p_2, p_3, \ldots, p_n \vdash q$ be a sequent of propositional logic.

It can be expressed as a theorem as follows:

$\vdash p_1 \implies \paren {p_2 \implies \paren {p_3 \implies \paren {\ldots \implies \paren {p_n \implies q} \ldots } } }$

This is known as the sequent's corresponding conditional.


Also see