# Epimorphism that is Split Monomorphism is Split Epimorphism

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## Theorem

Let $\mathbf C$ be a metacategory.

Let $f: C \to D$ be a epimorphism and a split monomorphism.

Then $f: C \to D$ is a split epimorphism.

## Proof

Dual proof of Monomorphism that is Split Epimorphism is Split Monomorphism.

$\blacksquare$