That which follows, that which results from, or the conclusion in a line of reasoning.
In mathematical logic, the second of the two terms in a conditional propositional form or an implication.
Example
In the statement, “if a quadrilateral has one pair of parallel sides, then this quadrilateral is a trapezoid“, the antecedent is the proposition “a quadrilateral has one pair of parallel sides” and the consequence is the proposition “this quadrilateral is a trapezoid“.