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{{Transformation rules}}
In [[propositional calculus|propositional logic]], '''biconditional introduction''' is a [[validity|valid]] [[rule of inference]]. It allows for one to [[inference|infer]] a [[Logical biconditional|biconditional]] from two [[Material conditional|conditional statements]]. The rule makes it possible to introduce a [[logical biconditional|biconditional]] into a [[formal proof|logical proof]]. If <math>(P \to Q)</math> is true, and <math>(Q \to P)</math> then one may infer that <math>(P \leftrightarrow Q)</math> is true. For example, from the statements "if I'm breathing, then I'm alive" and "if I'm alive, then I'm breathing", it can be inferred that "I'm breathing [[if and only if]] I'm alive". Biconditional introduction is the [[Converse (logic)|converse]] of [[biconditional elimination]].
== Formal notation ==
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