\Eqqcolon - LaTeX Symbol

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= : :

\Eqqcolon

The symbol \Eqqcolon is used to denote a definition where the expression on the left is defined to be equal to the expression on the right. It is a relational symbol that emphasizes the direction of the definition, indicating that the left-hand side is being defined as the right-hand side.

Examples

a = : : b + c

Defines 'a' as the sum of 'b' and 'c'.

a \Eqqcolon b + c

f (x) = : : x^{2} + 2 x + 1

Defines the function f(x) as a quadratic expression.

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

T = : : {x \in R ∣ x > 0}

Defines the set T as the set of all positive real numbers.

T \Eqqcolon \{ x \in \mathbb{R} \mid x > 0 \}