Definition:Split Monomorphism

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Let $\mathbf C$ be a metacategory.

Let $f: C \to D$ be a morphism of $\mathbf C$.

Then $f$ is said to be a split monomorphism if and only if for some $g: D \to C$, one has:

$g \circ f = \operatorname{id}_C$

where $\operatorname{id}_C$ is the identity morphism of $C$.

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