Formal Notation
The biconditional elimination rule may be written in sequent notation:
and
where is a metalogical symbol meaning that, in the first case, and in the other are syntactic consequences of in some logical system;
or as the statement of a truth-functional tautology or theorem of propositional logic:
where, and are propositions expressed in some formal system.
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“On every formal visit a child ought to be of the party, by way of provision for discourse.”
—Jane Austen (1775–1817)