In propositional logic, biconditional introduction[1][2][3] is a valid rule of inference.
It allows for one to infer a biconditional from two conditional statements.
The rule makes it possible to introduce a biconditional statement into a logical proof.
" can validly be placed on a subsequent line.
The biconditional introduction rule may be written in sequent notation: where
is a metalogical symbol meaning that
are both in a proof; or as the statement of a truth-functional tautology or theorem of propositional logic: where
are propositions expressed in some formal system.