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A relational symbol denoting a definition or assignment, combining a colon and equals sign to mean "is defined as."

\coloneqq image

Examples

Definition of a mathematical function

f(x) \coloneqq 2x + 1

Definition of a set

S \coloneqq \{x \in \mathbb{R} : x > 0\}

Definition of a sequence

a_n \coloneqq \frac{1}{n^2} \text{ for } n \in \mathbb{N}