Big Vee in LaTeX (\bigvee)

Where it is used

Large vee operator for a disjunction over many statements or a lattice join.

Logic uses \bigvee_{i=1}^{n} \varphi_i for an n-fold disjunction, generalizing \vee (also \lor); disjunctive normal form is literally a \bigvee of \bigwedge terms. In order theory and lattices, \bigvee S is the join or supremum of a set S. As a large operator, its limits stack in display math and move aside inline. Avoid using the letter V or a subscripted \vee in its place, since those stay small and do not position limits. In algebraic topology, \bigvee_{i} S^1 denotes a wedge sum of circles, gluing pointed spaces at their basepoints.

Minimal compilable example

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

\documentclass{article}
\begin{document}
Big Vee: $\bigvee$

\[ \bigvee_{i=1}^{n} \bigwedge_{j=1}^{m} \ell_{ij} \]
\end{document}

Related symbols

• Big Direct Sum\bigoplus
• Big Wedge\bigwedge
• Big Tensor Product\bigotimes
• Big Intersection with Index\bigcap_{i=1}^{n}
• Big Circle Dot\bigodot
• Big Intersection\bigcap

Frequently asked questions

How do I write Big Vee in LaTeX?

Type \bigvee in math mode, for example $\bigvee_{i=1}^{n} \bigwedge_{j=1}^{m} \ell_{ij}$. It works in plain LaTeX without loading any package.

Which package do I need for \bigvee?

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

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

Only in math mode. Outside $...$ LaTeX stops with "Missing $ inserted", so write $\bigvee$ 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).