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Zermelo-Fraenkel set theory
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Right inverse element
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Right inverse map
Right-invertible map
Formulation 0
Let $f : X \to Y$ be a
D18: Map
.
Then $f$ is
right-invertible
if and only if there exists a
D18: Map
$g : Y \to X$ such that \begin{equation} \forall \, y \in Y : f(g(y)) = y \end{equation}
Results
»
R310: Right-invertible map iff surjection
