TeXipedia

xRightarrow

Creates a double-line right arrow with text above it, commonly used in mathematical proofs and logical implications.

Overview

Serves as an extensible arrow that automatically adjusts its width based on the text placed above it, making it particularly valuable in formal mathematics and logic.

  • Essential for showing logical implications or consequences with additional conditions or explanations
  • Popular in proof writing, especially when indicating the reason for a logical step
  • Frequently used in abstract algebra, set theory, and formal logic notation
  • Provides a more prominent and formal alternative to the standard rightarrow when emphasis is needed

Examples

Logical implication with a condition above the double arrow.

A⇒x>0BA \xRightarrow{x > 0} B 
A \xRightarrow{x > 0} B

Step-by-step equation solving with justification.

2x+3=7⇒subtract 32x=42x + 3 = 7 \xRightarrow{\text{subtract 3}} 2x = 4 
2x + 3 = 7 \xRightarrow{\text{subtract 3}} 2x = 4

Mathematical statement with multiple conditions.

P(x)⇒x∈R,x≠0Q(x)P(x) \xRightarrow{x \in \mathbb{R}, x \neq 0} Q(x) 
P(x) \xRightarrow{x \in \mathbb{R}, x \neq 0} Q(x)