What is the meaning of Sequent?

That comes after in time or order; subsequent.

That follows on as a result, conclusion etc.; consequent to, on, upon.

Recurring in succession or as a series; successive, consecutive.

Something that follows in a given sequence.

A disjunctive set of logical formulae which is partitioned into two subsets; the first subset, called the antecedent, consists of formulae which are valuated as false, and the second subset, called the succedent, consists of formulae which are valuated as true. (The set is written without set brackets and the separation between the two subsets is denoted by a turnstile symbol, which may be read "give(s)".)

A follower.

A sequential calculus

Source: wiktionary.org