TeXipedia

rightrightarrows

Represents a double right arrow notation commonly used in mathematics to indicate parallel mappings or simultaneous transformations.

Overview

Serves as a specialized mathematical symbol particularly valuable in category theory, abstract algebra, and advanced mathematical notation where parallel or simultaneous mappings need to be depicted.

  • Frequently used to show multiple parallel morphisms between objects
  • Common in diagram chasing and commutative diagrams
  • Appears in theoretical computer science for parallel processes or transformations
  • Useful when standard single arrows are insufficient to represent complex mathematical relationships

Examples

Showing a double implication or mapping between sets.

ABCA \rightrightarrows B \rightrightarrows C
A \rightrightarrows B \rightrightarrows C

Representing a double surjective function between mathematical structures.

RCH\mathbb{R} \rightrightarrows \mathbb{C} \rightrightarrows \mathbb{H}
\mathbb{R} \rightrightarrows \mathbb{C} \rightrightarrows \mathbb{H}

Indicating multiple sequential transformations in category theory.

X1X2X3X_1 \rightrightarrows X_2 \rightrightarrows X_3
X_1 \rightrightarrows X_2 \rightrightarrows X_3