Rules of Inference
Like all connectives in first-order logic, the biconditional has rules of inference that govern its use in formal proofs.
Read more about this topic: Logical Biconditional
Other articles related to "rules of inference, rules":
... For example, if it's true that I'm breathing if and only if I'm alive, then it's true that if I'm breathing, I'm alive likewise, it's true that if I'm alive, I'm breathing ... Formally ( A ↔ B ) ∴ ( A → B ) also ( A ↔ B ) ∴ ( B → A ) ...
... Transformation rules Propositional calculus Rules of inference Modus ponens Modus tollens Biconditional introduction Biconditional elimination Conjunction introduction Simplification Disjunction ... There are several rules of inference which utilize the existential quantifier ...
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