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A relational symbol denoting a definition or definitional equality, often used in category theory and abstract algebra.

\Doteq image

Examples

Definition by equality

f(x) \Doteq x^2 + 2x + 1

Defining a sequence term

a_n \Doteq \frac{n}{n+1} \text{ for } n \geq 1

Matrix equality definition

A \Doteq \begin{pmatrix} 1 & 2 \\ 3 & 4 \end{pmatrix}