U+22C0 N-Ary Logical And

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In logic, mathematics and linguistics, and ($\wedge$) is the truth-functional operator of conjunction or logical conjunction. The logical connective of this operator is typically represented as $\wedge$ or $\&$ or $K$ (prefix) or $\times$ or $\cdot$ in which $\wedge$ is the most modern and widely used.

The and of a set of operands is true if and only if all of its operands are true, i.e., $A\wedge B$ is true if and only if $A$ is true and $B$ is true.

An operand of a conjunction is a conjunct.

Beyond logic, the term "conjunction" also refers to similar concepts in other fields:

• In natural language, the denotation of expressions such as English "and";
• In programming languages, the short-circuit and control structure;
• In set theory, intersection.
• In lattice theory, logical conjunction (greatest lower bound).