Long Right Arrow (Double) in LaTeX (\Longrightarrow)

Where it is used

Draws a long double-shafted right arrow; padded with spaces it becomes the \implies sign.

\Longrightarrow is the raw glyph that \implies uses, without the extra thick spacing. Choose \Longrightarrow when you need implication inside a cramped space, such as a subscript, a matrix cell, or a tight table, and \implies between full clauses in display math. It is also used for multi-step reductions in rewriting systems and for convergence in some probability texts. The short version \Rightarrow is better between short formulas. Write the converse with \Longleftarrow. In a sequence of displayed steps, align the arrows with the align environment so each step starts in the same column.

Minimal compilable example

Paste this into an empty .tex file and compile it with pdfLaTeX, XeLaTeX or LuaLaTeX.

\documentclass{article}
\usepackage{amsmath}
\begin{document}
Long Right Arrow (Double): $\Longrightarrow$

\[ a \mid b \text{ and } b \mid c \Longrightarrow a \mid c \]
\end{document}

Related symbols

• Down Arrow (Double)\Downarrow
• Long Left Arrow (Double)\Longleftarrow
• Left Right Arrow\leftrightarrow
• Up Arrow (Double)\Uparrow
• Long Left Right Arrow\longleftrightarrow
• Right Arrow (Double)\Rightarrow

Frequently asked questions

How do I write Long Right Arrow (Double) in LaTeX?

Type \Longrightarrow in math mode, for example $a \mid b \text{ and } b \mid c \Longrightarrow a \mid c$. It works in plain LaTeX without loading any package.

Which package do I need for \Longrightarrow?

None. \Longrightarrow is part of standard LaTeX, so it compiles with nothing in the preamble but the document class.

Can I use \Longrightarrow in text mode, or only in math mode?

Only in math mode. Outside $...$ LaTeX stops with "Missing $ inserted", so write $\Longrightarrow$ in running text. If you only need the glyph in text, paste the Unicode character ⟹ instead (with XeLaTeX or LuaLaTeX and a font that has it).