TeXipedia

rightarrow

Represents a horizontal arrow pointing to the right, commonly used to indicate direction, implication, or mapping between elements.

Overview

Essential in mathematical notation across multiple contexts, particularly in set theory, logic, and function definitions.

  • Frequently used to denote logical implication ("if-then" relationships)
  • Standard notation for function mappings and transformations
  • Common in sequence notation and limit expressions
  • Appears in chemical reaction equations to show reaction direction
  • Often employed in algorithmic flowcharts and process diagrams

Examples

Showing logical implication in a mathematical statement.

x>0→x2>0x > 0 \rightarrow x^2 > 0 
x > 0 \rightarrow x^2 > 0

Indicating a function mapping between sets.

f:R→Rf: \mathbb{R} \rightarrow \mathbb{R} 
f: \mathbb{R} \rightarrow \mathbb{R}

Representing a chemical reaction equation.

H2+O2→H2O\text{H}_2 + \text{O}_2 \rightarrow \text{H}_2\text{O} 
\text{H}_2 + \text{O}_2 \rightarrow \text{H}_2\text{O}