TeXipedia

xLeftrightarrow

Creates an extensible double-headed arrow that automatically adjusts its width based on the content above or below it.

Overview

Particularly useful in mathematical expressions and formal proofs where bidirectional implications or equivalences need to be emphasized with additional notation.

  • Common in logical reasoning and mathematical logic to show biconditional statements
  • Frequently used in proof writing when explaining steps with justifications
  • Popular in abstract algebra and set theory for showing bijective mappings
  • Allows for clear annotation of relationships by placing text above or below the arrow

Examples

Showing logical equivalence between two statements with a labeled double arrow.

P∧Q⇔defQ∧PP \land Q \xLeftrightarrow{\text{def}} Q \land P 
P \land Q \xLeftrightarrow{\text{def}} Q \land P

Demonstrating bidirectional mapping between sets with a mapping description.

A⇔bijectionBA \xLeftrightarrow{\text{bijection}} B 
A \xLeftrightarrow{\text{bijection}} B