Big Wedge in LaTeX (\bigwedge)

Where it is used

Large wedge operator for a conjunction over many statements or an exterior power.

In logic, \bigwedge_{i=1}^{n} \varphi_i is the conjunction of n formulas, the n-ary form of \wedge (also \land); conjunctive normal form is a \bigwedge of clauses. In lattice theory it denotes the meet, or infimum, of a set, and in differential geometry \bigwedge^k V is the k-th exterior power of a vector space. Limits behave like those of \sum: stacked in display, beside the sign inline. Do not confuse it with \Lambda, the Greek capital, which some authors use for exterior powers at ordinary size. Its dual operator is \bigvee.

Minimal compilable example

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

\documentclass{article}
\begin{document}
Big Wedge: $\bigwedge$

\[ \bigwedge_{i=1}^{n} (x_i \lor \neg y_i) \]
\end{document}

Related symbols

• Big Vee\bigvee
• Big Intersection with Index\bigcap_{i=1}^{n}
• Big Direct Sum\bigoplus
• Big Intersection\bigcap
• Big Tensor Product\bigotimes
• Big Union with Index\bigcup_{i=1}^{n}

Frequently asked questions

How do I write Big Wedge in LaTeX?

Type \bigwedge in math mode, for example $\bigwedge_{i=1}^{n} (x_i \lor \neg y_i)$. It works in plain LaTeX without loading any package.

Which package do I need for \bigwedge?

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

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

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