Logic 101 (#34.5): Biconditional Introduction and Elimination
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Biconditional introduction is a rule of inference in sentential logic that says if you know that p implies q and q implies p then you may conclude p if and only if q.
Biconditional elimination is another rule of inference in sentential logic that says if you know p if and only if q, you may conclude both p implies q and q implies p.