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A double-lined leftward arrow symbol commonly used to denote logical implication or mapping relations in logic and category theory.

\Leftarrow image

Examples

Logical 'if' statement (converse implication)

B \Leftarrow A \text{ means 'if A then B'}

Definition or equivalence in mathematics

x \text{ is prime} \Leftarrow x \text{ has exactly two factors}

Function inverse relationship

f^{-1}(y) = x \Leftarrow f(x) = y