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A double-headed horizontal arrow symbol representing logical equivalence or bidirectional implication in mathematical logic.

\hArr image

Examples

Logical equivalence

A \hArr B \text{ means 'A if and only if B'}

Mathematical equivalence

x^2 = 4 \hArr x = \pm 2

Set equivalence

|A| = |B| \hArr \text{There exists a bijection } f: A \to B