Category:Biconditional Introduction

From ProofWiki
Jump to navigation Jump to search

This category contains pages concerning Biconditional Introduction:


The rule of biconditional introduction is a valid argument in types of logic dealing with conditionals $\implies$ and biconditionals $\iff$.

This includes classical propositional logic and predicate logic, and in particular natural deduction.


Proof Rule

If we can conclude both $\phi \implies \psi$ and $\psi \implies \phi$, then we may infer $\phi \iff \psi$.


Sequent Form

$p \implies q, q \implies p \vdash p \iff q$