1. a logical statement that is true when two propositions have the same truth value (both true or both false), typically expressed as 'if and only if'
Usage: formal logic and mathematics; symbol: ↔ or ≡

1. relating to or denoting a logical statement that connects two propositions with mutual dependence
Usage: formal logic and mathematics

Examples

• In logic, 'A biconditional B' is true only when A and B have the same truth value.
• The statement 'x is even if and only if x is divisible by 2' is a biconditional.
• A biconditional statement requires both directions of implication to be true.
• The biconditional operator is fundamental in mathematical proofs and definitions.
• Students learn that a biconditional differs from a simple conditional in requiring mutual truth.
• The symbol ↔ represents a biconditional relationship between two propositions.