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A longer arrow symbol indicating function mappings or transformations between mathematical spaces in category theory.

\longmapsto image

Examples

Function definition with explicit mapping

x \longmapsto x^2 + 1

Named function with domain and codomain

f: \mathbb{R} \ni x \longmapsto ax + b \in \mathbb{R}

Explicit set mapping

\{1,2,3\} \ni n \longmapsto 2n \in \{2,4,6\}