A biconditional is a logical statement that connects two propositions, indicating that both are true or both are false. It is often expressed using the phrase "if and only if" (often abbreviated as "iff"). For example, the statement "A is true if and only if B is true" means that A and B must either both be true or both be false for the statement to hold.
In symbolic logic, a biconditional is represented by the symbol ↔. This relationship is fundamental in mathematics and logic, as it helps clarify the conditions under which two statements are equivalent. Understanding biconditionals is essential for studying topics like mathematical proofs and logical reasoning.