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## Elementary Category Theory - 2

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Tsakanikas Nickos
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### Elementary Category Theory - 2

Suppose that $\mathcal{C}$ is a category with a zero object. Suppose that the morphism $a$ is the kernel of a morphism $\displaystyle \gamma : X \longrightarrow Y$. Show that if coker($a$) exists, then $a =$ ker(coker $a$).