adj

• (obsolete) That comes after in time or order; subsequent.
  "Why are your songs all wild and bitter sad As funeral dirges with the orphans' cries? Each night since first the world was made hath had A sequent day to laugh it down the skies."
• (now rare) That follows on as a result, conclusion etc.; consequent to, on, upon.
  "But let my Triall, be mine owne Confession: / Immediate sentence then, and sequent death, / Is all the grace I beg."

noun

• (logic) 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 sequent a,b⊢c,d could be interpreted to correspond to an Existential Graph, whose expression in Existential Graph Interchange Format would be ~[(a) (b) ~[(c)] ~[(d)]], which in ordinary language could be expressed as "a and b give c or d"."
• (obsolete) A follower.
  "Sir Nathaniel, this Biron is one of the votaries with the king; and here he hath framed a letter to a sequent of the stranger queen's, which accidentally, or by the way of progression, hath miscarried."
• (mathematics) A sequential calculus