Definition:Two-sided inverse

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Definition: Two-sided inverse
If [math]f : A \href{/cs2800/wiki/index.php/%E2%86%92}{→} B [/math] is a function, then [math]g : B \href{/cs2800/wiki/index.php/%E2%86%92}{→} A [/math] is a two-sided inverse of [math]f [/math] if [math]f \href{/cs2800/wiki/index.php/%5Ccirc}{\circ} g \href{/cs2800/wiki/index.php/Equality_(functions)}{=} \href{/cs2800/wiki/index.php?title=Id&action=edit&redlink=1}{id}_B [/math] and [math]g \href{/cs2800/wiki/index.php/%5Ccirc}{\circ} f \href{/cs2800/wiki/index.php/Equality_(functions)}{=} \href{/cs2800/wiki/index.php?title=Id&action=edit&redlink=1}{id}_A [/math].