A biconditional is a statement wherein the truth of each item depends on the truth of the other.
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Two statements, A and B are biconditionally related if A implies B and B implies A.
If a number is nonzero, then the number is positive.
A biconditional statement is a compound statement consisting of a double conditional: "She's going to the party if and only if I'm going." (I'm going if she's going and vice-versa.) Thus, it's basically the conjunction of two conditionals, where the antecedent of either is the consequent of the other.