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A relational symbol indicating equality with a dot above, commonly used to define quantities or show natural isomorphisms.

\doteq image

Examples

Definition of a sequence term

a_n \doteq \frac{n^2 + 1}{n^2} \text{ for } n \geq 1

Definition of a function

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

Definition equality in abstract algebra

G/H \doteq \{gH : g \in G\}