TeXipedia

xrightarrow

Creates an extensible right-pointing arrow with optional text above or below, commonly used in mathematical expressions to show transformations or implications.

Overview

Provides a flexible way to create arrows that automatically adjust their length based on the content placed above or below them, making them ideal for various mathematical notations.

  • Essential in showing mathematical transformations, especially in algebra and category theory
  • Perfect for displaying step-by-step solutions where each step leads to the next
  • Commonly used in chemical equations to show reaction conditions
  • Allows for clear visualization of mappings, transitions, and logical implications
  • Superior to fixed-length arrows when dealing with varying-length labels

Examples

Chemical reaction with labeled transition.

H2OheatH2+12O2\text{H}_2\text{O} \xrightarrow{\text{heat}} \text{H}_2 + \frac{1}{2}\text{O}_2
\text{H}_2\text{O} \xrightarrow{\text{heat}} \text{H}_2 + \frac{1}{2}\text{O}_2

Function limit approaching infinity.

xnLx \xrightarrow{n \to \infty} L
x \xrightarrow{n \to \infty} L

Group homomorphism with kernel.

GϕHG \xrightarrow{\phi} H
G \xrightarrow{\phi} H